## TSTP Solution File: SYN259-1 by SPASS---3.9

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN259-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n008.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 : Thu Jul 21 12:19:48 EDT 2022

% Result   : Unsatisfiable 0.15s 0.41s
% Output   : Refutation 0.15s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% 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  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

%------------------------------------------------------------------------------
cnf(1,axiom,
~ p1(u,d,u),
file('SYN259-1.p',unknown),
[] ).

cnf(2,axiom,
s0(d),
file('SYN259-1.p',unknown),
[] ).

cnf(111,axiom,
( ~ s0(u)
| ~ s0(v)
| p1(v,v,v) ),
file('SYN259-1.p',unknown),
[] ).

cnf(383,plain,
( ~ s0(u)
| p1(u,u,u) ),
inference(con,[status(thm)],[111]),
[iquote('0:Con:111.0')] ).

cnf(423,plain,
~ s0(d),
inference(res,[status(thm),theory(equality)],[383,1]),
[iquote('0:Res:383.1,1.0')] ).

cnf(437,plain,
\$false,
inference(mrr,[status(thm)],[423,2]),
[iquote('0:MRR:423.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYN259-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.11  % Command  : run_spass %d %s
% 0.10/0.31  % Computer : n008.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 600
% 0.10/0.31  % DateTime : Mon Jul 11 22:51:23 EDT 2022
% 0.10/0.31  % CPUTime  :
% 0.15/0.41
% 0.15/0.41  SPASS V 3.9
% 0.15/0.41  SPASS beiseite: Proof found.
% 0.15/0.41  % SZS status Theorem
% 0.15/0.41  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41  SPASS derived 19 clauses, backtracked 0 clauses, performed 0 splits and kept 336 clauses.
% 0.15/0.41  SPASS allocated 76103 KBytes.
% 0.15/0.41  SPASS spent	0:00:00.09 on the problem.
% 0.15/0.41  		0:00:00.03 for the input.
% 0.15/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.15/0.41  		0:00:00.00 for inferences.
% 0.15/0.41  		0:00:00.00 for the backtracking.
% 0.15/0.41  		0:00:00.02 for the reduction.
% 0.15/0.41
% 0.15/0.41
% 0.15/0.41  Here is a proof with depth 1, length 6 :
% 0.15/0.41  % SZS output start Refutation
% See solution above
% 0.15/0.41  Formulae used in the proof : prove_this axiom_1 rule_072
% 0.15/0.41
%------------------------------------------------------------------------------
```