## TSTP Solution File: LCL666+1.001 by SNARK---20120808r022

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 14:24:48 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   4 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn)

%------------------------------------------------------------------------------
cnf(1,axiom,
r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

cnf(2,negated_conjecture,
( ~ r1('SKOLEMAAAV1',X)
| ~ p201(X)
| ~ p101(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(3,negated_conjecture,
p201('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(4,negated_conjecture,
p101('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

cnf(5,plain,
\$false,
inference('HYPERRESOLVE',[status(thm)],[2,1,3,4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul  4 22:17:47 EDT 2022
% 0.12/0.34  % CPUTime  :
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  *
% 0.19/0.47  *
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  *
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  *
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  *
% 0.19/0.48  "."
% 0.19/0.48  *
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T22:17:47
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-04T22:17:47
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;         9 formulas have been input or derived (from 5 formulas).
% 0.19/0.50  ;         5 (56%) were retained.  Of these,
% 0.19/0.50  ;            5 (100%) are still being kept.
% 0.19/0.50  ;
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.001   4%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   4%   Assert                       (2 calls)
% 0.19/0.50  ;     0.000   0%   Process new row              (5 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (8 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (4 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (1 call)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (1 call)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (1 call)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (5 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (5 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.023  92%   Other
% 0.19/0.50  ;     0.025        Total
% 0.19/0.50  ;     0.027        Real time
% 0.19/0.50  ;
% 0.19/0.50  ; Term-hash-array has 6 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.19/0.50  ; Path-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.19/0.50  ; Path-index has 14 nodes (14 at peak, 14 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.19/0.50  ; Retrieved 1 generalization term in 1 call.
% 0.19/0.50  ; Retrieved 3 instance terms in 3 calls.
% 0.19/0.50  ; Retrieved 18 unifiable terms in 21 calls.
% 0.19/0.50  ;
% 0.19/0.50  ; The agenda of rows to process has 3 entries:
% 0.19/0.50  ;     2 with value 4               1 with value 5
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.027 seconds of real time
% 0.19/0.50    0.022154 seconds of user run time
% 0.19/0.50    0.004863 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    1,342,688 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T22:17:47
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  *
%------------------------------------------------------------------------------
```