## TSTP Solution File: LCL666+1.001 by SPASS---3.9

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n011.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 14:38:43 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   0 equ;   5 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    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

%------------------------------------------------------------------------------
cnf(1,axiom,
p201(skc1),
file('LCL666+1.001.p',unknown),
[] ).

cnf(2,axiom,
p101(skc1),
file('LCL666+1.001.p',unknown),
[] ).

cnf(3,axiom,
r1(u,u),
file('LCL666+1.001.p',unknown),
[] ).

cnf(4,axiom,
( ~ p101(u)
| ~ p201(u)
| ~ r1(skc1,u) ),
file('LCL666+1.001.p',unknown),
[] ).

cnf(7,plain,
( ~ p101(skc1)
| ~ p201(skc1) ),
inference(res,[status(thm),theory(equality)],[3,4]),
[iquote('0:Res:3.0,4.2')] ).

cnf(8,plain,
\$false,
inference(ssi,[status(thm)],[7,2,1]),
[iquote('0:SSi:7.1,7.0,2.0,1.0,2.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 22:18:52 EDT 2022
% 0.13/0.34  % CPUTime  :
% 0.19/0.44
% 0.19/0.44  SPASS V 3.9
% 0.19/0.44  SPASS beiseite: Proof found.
% 0.19/0.44  % SZS status Theorem
% 0.19/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.19/0.44  SPASS allocated 97553 KBytes.
% 0.19/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.44  		0:00:00.04 for the input.
% 0.19/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44  		0:00:00.00 for inferences.
% 0.19/0.44  		0:00:00.00 for the backtracking.
% 0.19/0.44  		0:00:00.00 for the reduction.
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44  Here is a proof with depth 1, length 6 :
% 0.19/0.44  % SZS output start Refutation
% See solution above
% 0.19/0.44  Formulae used in the proof : main reflexivity
% 0.19/0.44
%------------------------------------------------------------------------------
```