%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL138-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n007.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 02:01:03 PM UTC 2026
% Result : Unsatisfiable 8.86s 1.80s
% Output : CNFRefutation 8.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 4
% Syntax : Number of clauses : 59 ( 59 unt; 0 nHn; 3 RR)
% Number of literals : 59 ( 58 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 141 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t3,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
inference(orient,[status(thm)],[t3]) ).
cnf(t0,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
implies(truth,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t8,plain,
truth = implies(X1,implies(implies(X1,X2),implies(truth,X2))),
inference(cp,[status(thm)],[t7,t4]) ).
cnf(t13716,plain,
truth = implies(X1,implies(implies(X1,X2),X2)),
inference(step,[status(thm)],[t8,t4]) ).
cnf(t28,plain,
implies(X1,implies(implies(X1,X2),X2)) = truth,
inference(orient,[status(thm)],[t13716]) ).
cnf(t33,plain,
truth = implies(truth,implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))),
inference(cp,[status(thm)],[t7,t28]) ).
cnf(t13781,plain,
truth = implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)),
inference(step,[status(thm)],[t33,t4]) ).
cnf(t2603,plain,
implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3)) = truth,
inference(orient,[status(thm)],[t13781]) ).
cnf(t11,plain,
truth = implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))),
inference(cp,[status(thm)],[t7,t5]) ).
cnf(t3129,plain,
implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))) = truth,
inference(orient,[status(thm)],[t11]) ).
cnf(t30,plain,
truth = implies(X1,implies(implies(X2,X1),X1)),
inference(cp,[status(thm)],[t28,t5]) ).
cnf(t58,plain,
implies(X1,implies(implies(X2,X1),X1)) = truth,
inference(orient,[status(thm)],[t30]) ).
cnf(t61,plain,
truth = implies(X1,implies(X1,X1)),
inference(cp,[status(thm)],[t58,t4]) ).
cnf(t29,plain,
truth = implies(implies(truth,X1),X1),
inference(cp,[status(thm)],[t28,t4]) ).
cnf(t13717,plain,
truth = implies(X1,X1),
inference(step,[status(thm)],[t29,t4]) ).
cnf(t39,plain,
implies(X1,X1) = truth,
inference(orient,[status(thm)],[t13717]) ).
cnf(t13718,plain,
truth = implies(X1,truth),
inference(step,[status(thm)],[t61,t39]) ).
cnf(t68,plain,
implies(X1,truth) = truth,
inference(orient,[status(thm)],[t13718]) ).
cnf(t69,plain,
truth = implies(truth,implies(implies(truth,X1),implies(X2,X1))),
inference(cp,[status(thm)],[t7,t68]) ).
cnf(t13719,plain,
truth = implies(implies(truth,X1),implies(X2,X1)),
inference(step,[status(thm)],[t69,t4]) ).
cnf(t13720,plain,
truth = implies(X1,implies(X2,X1)),
inference(step,[status(thm)],[t13719,t4]) ).
cnf(t70,plain,
implies(X1,implies(X2,X1)) = truth,
inference(orient,[status(thm)],[t13720]) ).
cnf(t71,plain,
truth = implies(truth,implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(cp,[status(thm)],[t7,t70]) ).
cnf(t13724,plain,
truth = implies(implies(implies(X1,X2),X3),implies(X2,X3)),
inference(step,[status(thm)],[t71,t4]) ).
cnf(t99,plain,
implies(implies(implies(X1,X2),X3),implies(X2,X3)) = truth,
inference(orient,[status(thm)],[t13724]) ).
cnf(t9,plain,
truth = implies(implies(implies(X1,X2),X2),implies(implies(X1,X3),implies(implies(X2,X1),X3))),
inference(cp,[status(thm)],[t7,t5]) ).
cnf(t561,plain,
implies(implies(implies(X1,X2),X2),implies(implies(X1,X3),implies(implies(X2,X1),X3))) = truth,
inference(orient,[status(thm)],[t9]) ).
cnf(t650,plain,
truth = implies(truth,implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3)))),
inference(cp,[status(thm)],[t99,t561]) ).
cnf(t13805,plain,
truth = implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))),
inference(step,[status(thm)],[t650,t4]) ).
cnf(t6844,plain,
implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3))) = truth,
inference(orient,[status(thm)],[t13805]) ).
cnf(t7094,plain,
truth = implies(truth,implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),implies(X2,X3)),implies(X1,implies(implies(X1,X2),X3)))),
inference(cp,[status(thm)],[t3129,t6844]) ).
cnf(t13827,plain,
truth = implies(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),implies(X2,X3)),implies(X1,implies(implies(X1,X2),X3))),
inference(step,[status(thm)],[t7094,t4]) ).
cnf(t13828,plain,
truth = implies(implies(truth,implies(X2,X3)),implies(X1,implies(implies(X1,X2),X3))),
inference(step,[status(thm)],[t13827,t99]) ).
cnf(t13829,plain,
truth = implies(implies(X2,X3),implies(X1,implies(implies(X1,X2),X3))),
inference(step,[status(thm)],[t13828,t4]) ).
cnf(t11291,plain,
implies(implies(X1,X2),implies(X3,implies(implies(X3,X1),X2))) = truth,
inference(orient,[status(thm)],[t13829]) ).
cnf(t11627,plain,
truth = implies(truth,implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3)))),
inference(cp,[status(thm)],[t2603,t11291]) ).
cnf(t13834,plain,
truth = implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))),
inference(step,[status(thm)],[t11627,t4]) ).
cnf(t12007,plain,
implies(X1,implies(X2,implies(implies(X2,implies(X1,X3)),X3))) = truth,
inference(orient,[status(thm)],[t13834]) ).
cnf(t12022,plain,
truth = implies(implies(X1,X2),implies(implies(X3,X1),implies(truth,implies(X3,X2)))),
inference(cp,[status(thm)],[t12007,t7]) ).
cnf(t13836,plain,
truth = implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))),
inference(step,[status(thm)],[t12022,t4]) ).
cnf(t12369,plain,
implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))) = truth,
inference(orient,[status(thm)],[t13836]) ).
cnf(t12726,plain,
truth = implies(truth,implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3)))),
inference(cp,[status(thm)],[t2603,t12369]) ).
cnf(t13838,plain,
truth = implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))),
inference(step,[status(thm)],[t12726,t4]) ).
cnf(t12852,plain,
implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3))) = truth,
inference(orient,[status(thm)],[t13838]) ).
cnf(t13033,plain,
truth = implies(implies(X1,implies(X2,X3)),implies(truth,implies(X2,implies(X1,X3)))),
inference(cp,[status(thm)],[t12852,t12852]) ).
cnf(t13839,plain,
truth = implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))),
inference(step,[status(thm)],[t13033,t4]) ).
cnf(t13105,plain,
implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))) = truth,
inference(orient,[status(thm)],[t13839]) ).
cnf(t13331,plain,
implies(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3))) = implies(truth,implies(X1,implies(X2,X3))),
inference(cp,[status(thm)],[t5,t13105]) ).
cnf(t13840,plain,
implies(truth,implies(X2,implies(X1,X3))) = implies(truth,implies(X1,implies(X2,X3))),
inference(step,[status(thm)],[t13331,t13105]) ).
cnf(t13841,plain,
implies(X2,implies(X1,X3)) = implies(truth,implies(X1,implies(X2,X3))),
inference(step,[status(thm)],[t13840,t4]) ).
cnf(t13842,plain,
implies(X2,implies(X1,X3)) = implies(X1,implies(X2,X3)),
inference(step,[status(thm)],[t13841,t4]) ).
cnf(t13332,plain,
implies(X1,implies(X2,X3)) = implies(X2,implies(X1,X3)),
inference(orient,[status(thm)],[t13842]) ).
cnf(goal_0,negated_conjecture,
implies(y,implies(x,z)) != implies(x,implies(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
implies(y,implies(x,z)) != implies(y,implies(x,z)),
inference(rw,[status(thm)],[goal_0,t13332]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL138-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.06/0.35 % Computer : n007.cluster.edu
% 0.06/0.35 % Model : x86_64 x86_64
% 0.06/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.35 % Memory : 8046.5625MB
% 0.06/0.35 % OS : Linux 6.8.0-71-generic
% 0.06/0.35 % CPULimit : 300
% 0.06/0.35 % WCLimit : 300
% 0.06/0.35 % DateTime : Wed Sep 23 22:01:52 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.06/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.86/1.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.86/1.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------