%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN132-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:33:53 PM UTC 2026
% Result : Unsatisfiable 6.00s 1.24s
% Output : Proof 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 8 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f368,negated_conjecture,
~ m0(X,e,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f368_nnf,plain,
! [X] : ~ m0(X,e,a),
inference(nnf_transformation,[status(thm)],[f368]) ).
fof(f368_sk,plain,
! [X] : ~ m0(X,e,a),
inference(skolemisation,[status(esa)],[f368_nnf]) ).
cnf(c368,plain,
~ m0(X0,e,a),
inference(cnf_transformation,[status(esa)],[f368_sk]) ).
cnf(t47,plain,
eq(m0(X1,e,a),true) = efalse,
inference(equality_encoding,[status(esa)],[c368]) ).
cnf(t324,plain,
eq(m0(X1,e,a),true) = efalse,
inference(orient,[status(thm)],[t47]) ).
cnf(f11,axiom,
m0(a,X,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f11_nnf,plain,
! [X] : m0(a,X,a),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X] : m0(a,X,a),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
m0(a,X0,a),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(t2,plain,
m0(a,X1,a) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t131,plain,
m0(a,X1,a) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t325,plain,
efalse = eq(true,true),
inference(cp,[status(thm)],[t324,t131]) ).
cnf(t0,plain,
eq(X1,X1) = etrue,
introduced(definition) ).
cnf(t323,plain,
eq(X1,X1) = etrue,
inference(orient,[status(thm)],[t0]) ).
cnf(t336,plain,
efalse = etrue,
inference(step,[status(thm)],[t325,t323]) ).
cnf(t326,plain,
efalse = etrue,
inference(orient,[status(thm)],[t336]) ).
cnf(goal_0,negated_conjecture,
etrue != efalse,
introduced(definition) ).
cnf(g0_0,plain,
etrue != etrue,
inference(rw,[status(thm)],[goal_0,t326]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN132-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 00:18:18 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.00/1.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.00/1.24 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------