%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 02:03:18 PM UTC 2026
% Result : Unsatisfiable 6.43s 1.32s
% Output : CNFRefutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 14 RR)
% Number of literals : 22 ( 21 equ; 13 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t5,axiom,
qtd0(X1,qtd2(X1,X2)) = qtd0(X2,qtd2(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t16,plain,
qtd0(X1,qtd2(X1,X2)) = qtd0(X2,qtd2(X2,X1)),
inference(orient,[status(thm)],[t5]) ).
cnf(t4,axiom,
qtd0(X1,X2) = qtd0(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
qtd0(X1,X2) = qtd0(X2,X1),
inference(orient,[status(thm)],[t4]) ).
cnf(t6,axiom,
qtd0(qtd0(X1,X2),X3) = qtd0(X1,qtd0(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
qtd0(qtd0(X1,X2),X3) = qtd0(X1,qtd0(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t7,axiom,
qtd2(qtd0(X1,X2),X3) = qtd2(X1,qtd2(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
qtd2(qtd0(X1,X2),X3) = qtd2(X1,qtd2(X2,X3)),
inference(orient,[status(thm)],[t7]) ).
cnf(goal_0,negated_conjecture,
qtd0(qtd0(a,qtd2(a,b)),qtd2(qtd0(a,qtd2(a,b)),c)) != qtd0(a,qtd2(a,qtd0(b,qtd2(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
qtd0(qtd0(b,qtd2(b,c)),qtd2(qtd0(b,qtd2(b,c)),a)) != qtd0(a,qtd2(a,qtd0(b,qtd2(b,c)))),
inference(rw,[status(thm)],[goal_0,t16]) ).
cnf(g0_1,plain,
qtd0(qtd0(b,qtd2(b,c)),qtd2(qtd0(qtd2(b,c),b),a)) != qtd0(a,qtd2(a,qtd0(b,qtd2(b,c)))),
inference(rw,[status(thm)],[g0_0,t10]) ).
cnf(g0_2,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd0(qtd2(b,c),b),a))) != qtd0(a,qtd2(a,qtd0(b,qtd2(b,c)))),
inference(rw,[status(thm)],[g0_1,t12]) ).
cnf(g0_3,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))) != qtd0(a,qtd2(a,qtd0(b,qtd2(b,c)))),
inference(rw,[status(thm)],[g0_2,t21]) ).
cnf(g0_4,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))) != qtd0(qtd2(qtd0(a,qtd2(a,b)),c),qtd0(a,qtd2(a,b))),
inference(rw,[status(thm)],[g0_3,t10]) ).
cnf(g0_5,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))) != qtd0(qtd2(qtd0(b,qtd2(b,a)),c),qtd0(a,qtd2(a,b))),
inference(rw,[status(thm)],[g0_4,t16]) ).
cnf(g0_6,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))) != qtd0(qtd2(qtd0(qtd2(b,a),b),c),qtd0(a,qtd2(a,b))),
inference(rw,[status(thm)],[g0_5,t10]) ).
cnf(g0_7,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))) != qtd0(qtd2(qtd0(qtd2(b,a),b),c),qtd0(b,qtd2(b,a))),
inference(rw,[status(thm)],[g0_6,t16]) ).
cnf(g0_8,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))) != qtd0(qtd0(b,qtd2(b,a)),qtd2(qtd0(qtd2(b,a),b),c)),
inference(rw,[status(thm)],[g0_7,t10]) ).
cnf(g0_9,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))) != qtd0(b,qtd0(qtd2(b,a),qtd2(qtd0(qtd2(b,a),b),c))),
inference(rw,[status(thm)],[g0_8,t12]) ).
cnf(g0_10,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))) != qtd0(b,qtd0(qtd2(b,a),qtd2(qtd2(b,a),qtd2(b,c)))),
inference(rw,[status(thm)],[g0_9,t21]) ).
cnf(g0_11,plain,
qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))) != qtd0(b,qtd0(qtd2(b,c),qtd2(qtd2(b,c),qtd2(b,a)))),
inference(rw,[status(thm)],[g0_10,t16]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.44 % Computer : n008.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Thu Sep 24 00:40:24 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.43/1.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.43/1.32 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------