%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL110-2 : TPTP v9.3.1. Released v1.0.0.
% 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 02:00:58 PM UTC 2026
% Result : Unsatisfiable 3.70s 1.01s
% Output : CNFRefutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 27 RR)
% Number of literals : 62 ( 61 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
sFlat0 = not(x),
introduced(definition) ).
cnf(t40,plain,
not(x) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t5,axiom,
sFlat1 = not(not(x)),
introduced(definition) ).
cnf(t36,plain,
not(not(x)) = sFlat1,
inference(orient,[status(thm)],[t5]) ).
cnf(t675,plain,
not(sFlat0) = sFlat1,
inference(step,[status(thm)],[t36,t40]) ).
cnf(t43,plain,
not(sFlat0) = sFlat1,
inference(rw,[status(thm)],[t675]) ).
cnf(t44,plain,
not(sFlat0) = sFlat1,
inference(orient,[status(thm)],[t43]) ).
cnf(t6,axiom,
sFlat2 = implies(not(not(x)),x),
introduced(definition) ).
cnf(t31,plain,
implies(not(not(x)),x) = sFlat2,
inference(orient,[status(thm)],[t6]) ).
cnf(t674,plain,
implies(sFlat1,x) = sFlat2,
inference(step,[status(thm)],[t31,t36]) ).
cnf(t39,plain,
implies(sFlat1,x) = sFlat2,
inference(rw,[status(thm)],[t674]) ).
cnf(t47,plain,
implies(sFlat1,x) = sFlat2,
inference(orient,[status(thm)],[t39]) ).
cnf(t3,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
inference(orient,[status(thm)],[t3]) ).
cnf(t50,plain,
truth = implies(implies(sFlat1,X1),implies(implies(X1,x),sFlat2)),
inference(cp,[status(thm)],[t10,t47]) ).
cnf(t403,plain,
implies(implies(sFlat1,X1),implies(implies(X1,x),sFlat2)) = truth,
inference(orient,[status(thm)],[t50]) ).
cnf(t2,axiom,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t22,plain,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
implies(truth,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t23,plain,
truth = implies(implies(not(X1),not(truth)),X1),
inference(cp,[status(thm)],[t22,t7]) ).
cnf(t77,plain,
implies(implies(not(X1),not(truth)),X1) = truth,
inference(orient,[status(thm)],[t23]) ).
cnf(t78,plain,
truth = implies(implies(sFlat0,not(truth)),x),
inference(cp,[status(thm)],[t77,t40]) ).
cnf(t91,plain,
implies(implies(sFlat0,not(truth)),x) = truth,
inference(orient,[status(thm)],[t78]) ).
cnf(t409,plain,
truth = implies(implies(sFlat1,implies(sFlat0,not(truth))),implies(truth,sFlat2)),
inference(cp,[status(thm)],[t403,t91]) ).
cnf(t701,plain,
truth = implies(implies(sFlat1,implies(sFlat0,not(truth))),sFlat2),
inference(step,[status(thm)],[t409,t7]) ).
cnf(t425,plain,
implies(implies(sFlat1,implies(sFlat0,not(truth))),sFlat2) = truth,
inference(orient,[status(thm)],[t701]) ).
cnf(t11,plain,
truth = implies(X1,implies(implies(X1,X2),implies(truth,X2))),
inference(cp,[status(thm)],[t10,t7]) ).
cnf(t677,plain,
truth = implies(X1,implies(implies(X1,X2),X2)),
inference(step,[status(thm)],[t11,t7]) ).
cnf(t57,plain,
implies(X1,implies(implies(X1,X2),X2)) = truth,
inference(orient,[status(thm)],[t677]) ).
cnf(t1,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t8,plain,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t59,plain,
truth = implies(X1,implies(implies(X2,X1),X1)),
inference(cp,[status(thm)],[t57,t8]) ).
cnf(t118,plain,
implies(X1,implies(implies(X2,X1),X1)) = truth,
inference(orient,[status(thm)],[t59]) ).
cnf(t122,plain,
truth = implies(X1,implies(X1,X1)),
inference(cp,[status(thm)],[t118,t7]) ).
cnf(t58,plain,
truth = implies(implies(truth,X1),X1),
inference(cp,[status(thm)],[t57,t7]) ).
cnf(t678,plain,
truth = implies(X1,X1),
inference(step,[status(thm)],[t58,t7]) ).
cnf(t69,plain,
implies(X1,X1) = truth,
inference(orient,[status(thm)],[t678]) ).
cnf(t680,plain,
truth = implies(X1,truth),
inference(step,[status(thm)],[t122,t69]) ).
cnf(t129,plain,
implies(X1,truth) = truth,
inference(orient,[status(thm)],[t680]) ).
cnf(t130,plain,
truth = implies(truth,implies(implies(truth,X1),implies(X2,X1))),
inference(cp,[status(thm)],[t10,t129]) ).
cnf(t681,plain,
truth = implies(implies(truth,X1),implies(X2,X1)),
inference(step,[status(thm)],[t130,t7]) ).
cnf(t682,plain,
truth = implies(X1,implies(X2,X1)),
inference(step,[status(thm)],[t681,t7]) ).
cnf(t135,plain,
implies(X1,implies(X2,X1)) = truth,
inference(orient,[status(thm)],[t682]) ).
cnf(t137,plain,
truth = implies(truth,implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(cp,[status(thm)],[t10,t135]) ).
cnf(t709,plain,
truth = implies(implies(implies(X1,X2),X3),implies(X2,X3)),
inference(step,[status(thm)],[t137,t7]) ).
cnf(t502,plain,
implies(implies(implies(X1,X2),X3),implies(X2,X3)) = truth,
inference(orient,[status(thm)],[t709]) ).
cnf(t46,plain,
truth = implies(implies(not(X1),sFlat1),implies(sFlat0,X1)),
inference(cp,[status(thm)],[t22,t44]) ).
cnf(t249,plain,
implies(implies(not(X1),sFlat1),implies(sFlat0,X1)) = truth,
inference(orient,[status(thm)],[t46]) ).
cnf(t516,plain,
truth = implies(truth,implies(sFlat1,implies(sFlat0,X1))),
inference(cp,[status(thm)],[t502,t249]) ).
cnf(t717,plain,
truth = implies(sFlat1,implies(sFlat0,X1)),
inference(step,[status(thm)],[t516,t7]) ).
cnf(t584,plain,
implies(sFlat1,implies(sFlat0,X1)) = truth,
inference(orient,[status(thm)],[t717]) ).
cnf(t718,plain,
implies(truth,sFlat2) = truth,
inference(step,[status(thm)],[t425,t584]) ).
cnf(t719,plain,
sFlat2 = truth,
inference(step,[status(thm)],[t718,t7]) ).
cnf(t592,plain,
sFlat2 = truth,
inference(rw,[status(thm)],[t719]) ).
cnf(t593,plain,
truth = sFlat2,
inference(orient,[status(thm)],[t592]) ).
cnf(goal_0,negated_conjecture,
implies(not(not(x)),x) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
implies(not(sFlat0),x) != truth,
inference(rw,[status(thm)],[goal_0,t40]) ).
cnf(g0_1,plain,
implies(sFlat1,x) != truth,
inference(rw,[status(thm)],[g0_0,t44]) ).
cnf(g0_2,plain,
sFlat2 != truth,
inference(rw,[status(thm)],[g0_1,t47]) ).
cnf(g0_3,plain,
sFlat2 != sFlat2,
inference(rw,[status(thm)],[g0_2,t593]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL110-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 21:59:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.70/1.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.70/1.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------