TSTP Solution File: LCL109-4 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL109-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 : 300s
% DateTime : Fri May 3 02:36:52 EDT 2024
% Result : Unsatisfiable 207.69s 28.29s
% Output : CNFRefutation 207.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 7
% Syntax : Number of clauses : 157 ( 157 unt; 0 nHn; 3 RR)
% Number of literals : 157 ( 156 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 306 ( 54 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
big_V(implies(x,y),implies(y,x)) != truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_4) ).
cnf(c_50,plain,
implies(implies(X0,X1),X1) = big_V(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax',big_V_definition) ).
cnf(c_51,plain,
not(big_V(not(X0),not(X1))) = big_hat(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-1.ax',big_hat_definition) ).
cnf(c_54,plain,
implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
cnf(c_55,plain,
implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).
cnf(c_56,plain,
implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
cnf(c_57,plain,
implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).
cnf(c_104,plain,
implies(implies(X0,X1),X1) = big_V(X1,X0),
inference(light_normalisation,[status(thm)],[c_56,c_50]) ).
cnf(c_105,plain,
big_V(X0,X1) = big_V(X1,X0),
inference(light_normalisation,[status(thm)],[c_104,c_50]) ).
cnf(c_256,plain,
not(big_V(not(X0),not(X1))) = big_hat(X1,X0),
inference(superposition,[status(thm)],[c_105,c_51]) ).
cnf(c_260,plain,
big_hat(big_V(not(X0),not(X1)),X2) = not(big_V(big_hat(X0,X1),not(X2))),
inference(superposition,[status(thm)],[c_51,c_51]) ).
cnf(c_273,plain,
implies(implies(not(X0),not(truth)),X0) = truth,
inference(superposition,[status(thm)],[c_54,c_57]) ).
cnf(c_280,plain,
big_V(implies(not(X0),not(X1)),implies(X1,X0)) = implies(truth,implies(X1,X0)),
inference(superposition,[status(thm)],[c_57,c_50]) ).
cnf(c_285,plain,
big_V(implies(X0,X1),implies(not(X1),not(X0))) = implies(X0,X1),
inference(demodulation,[status(thm)],[c_280,c_54,c_105]) ).
cnf(c_358,plain,
implies(big_V(X0,X1),X1) = big_V(implies(X0,X1),X1),
inference(superposition,[status(thm)],[c_50,c_50]) ).
cnf(c_359,plain,
implies(big_V(X0,X1),X1) = big_V(X1,implies(X0,X1)),
inference(demodulation,[status(thm)],[c_358,c_105]) ).
cnf(c_572,plain,
implies(X0,X0) = big_V(truth,X0),
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_577,plain,
implies(X0,X0) = big_V(X0,truth),
inference(superposition,[status(thm)],[c_572,c_105]) ).
cnf(c_647,plain,
implies(implies(truth,X0),implies(implies(X0,X1),X1)) = truth,
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_662,plain,
implies(X0,big_V(X0,X1)) = truth,
inference(demodulation,[status(thm)],[c_647,c_50,c_54]) ).
cnf(c_702,plain,
implies(truth,implies(X0,X0)) = truth,
inference(superposition,[status(thm)],[c_572,c_662]) ).
cnf(c_713,plain,
implies(X0,X0) = truth,
inference(demodulation,[status(thm)],[c_702,c_54]) ).
cnf(c_721,plain,
big_V(X0,truth) = truth,
inference(demodulation,[status(thm)],[c_577,c_713]) ).
cnf(c_879,plain,
implies(X0,truth) = truth,
inference(superposition,[status(thm)],[c_721,c_662]) ).
cnf(c_9722,plain,
implies(implies(X0,truth),implies(X1,implies(X0,X1))) = truth,
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_9728,plain,
implies(implies(truth,X0),implies(implies(X0,X1),X1)) = truth,
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_9739,plain,
implies(X0,big_V(X0,X1)) = truth,
inference(demodulation,[status(thm)],[c_9728,c_50,c_54]) ).
cnf(c_9740,plain,
implies(X0,implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[c_9722,c_54,c_879]) ).
cnf(c_9760,plain,
implies(X0,big_V(X1,X0)) = truth,
inference(superposition,[status(thm)],[c_105,c_9739]) ).
cnf(c_9770,plain,
implies(implies(X0,X1),implies(truth,implies(X0,big_V(X1,X2)))) = truth,
inference(superposition,[status(thm)],[c_9739,c_55]) ).
cnf(c_9774,plain,
implies(implies(X0,X1),implies(X0,big_V(X1,X2))) = truth,
inference(demodulation,[status(thm)],[c_9770,c_54]) ).
cnf(c_9805,plain,
big_V(X0,big_V(X1,X0)) = implies(truth,big_V(X1,X0)),
inference(superposition,[status(thm)],[c_9760,c_50]) ).
cnf(c_9811,plain,
big_V(X0,big_V(X1,X0)) = big_V(X1,X0),
inference(demodulation,[status(thm)],[c_9805,c_54]) ).
cnf(c_9841,plain,
implies(truth,implies(X0,big_V(implies(X1,X0),X2))) = truth,
inference(superposition,[status(thm)],[c_9740,c_9774]) ).
cnf(c_9866,plain,
implies(X0,big_V(implies(X1,X0),X2)) = truth,
inference(demodulation,[status(thm)],[c_9841,c_54]) ).
cnf(c_10239,plain,
implies(X0,big_V(X1,implies(X2,X0))) = truth,
inference(superposition,[status(thm)],[c_9811,c_9866]) ).
cnf(c_11360,plain,
implies(not(X0),implies(X0,X1)) = truth,
inference(superposition,[status(thm)],[c_285,c_10239]) ).
cnf(c_12174,plain,
big_V(not(X0),implies(X0,X1)) = implies(truth,implies(X0,X1)),
inference(superposition,[status(thm)],[c_11360,c_50]) ).
cnf(c_12202,plain,
big_V(not(X0),implies(X0,X1)) = implies(X0,X1),
inference(demodulation,[status(thm)],[c_12174,c_54]) ).
cnf(c_31422,plain,
implies(implies(X0,truth),implies(X1,implies(X0,X1))) = truth,
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_31428,plain,
implies(implies(truth,X0),implies(implies(X0,X1),X1)) = truth,
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_31434,plain,
big_V(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = implies(truth,implies(implies(X1,X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_55,c_50]) ).
cnf(c_31439,plain,
implies(X0,big_V(X0,X1)) = truth,
inference(demodulation,[status(thm)],[c_31428,c_50,c_54]) ).
cnf(c_31440,plain,
implies(X0,implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[c_31422,c_54,c_879]) ).
cnf(c_31449,plain,
big_V(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = implies(implies(X1,X2),implies(X0,X2)),
inference(demodulation,[status(thm)],[c_31434,c_54]) ).
cnf(c_31452,plain,
big_V(not(truth),X0) = X0,
inference(superposition,[status(thm)],[c_54,c_12202]) ).
cnf(c_31462,plain,
big_hat(truth,X0) = not(not(X0)),
inference(superposition,[status(thm)],[c_31452,c_51]) ).
cnf(c_31463,plain,
big_V(X0,not(truth)) = X0,
inference(superposition,[status(thm)],[c_31452,c_105]) ).
cnf(c_31467,plain,
big_hat(X0,truth) = not(not(X0)),
inference(superposition,[status(thm)],[c_31463,c_51]) ).
cnf(c_31477,plain,
implies(not(X0),implies(X0,X1)) = truth,
inference(superposition,[status(thm)],[c_12202,c_31439]) ).
cnf(c_31507,plain,
implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2))) = truth,
inference(superposition,[status(thm)],[c_31440,c_55]) ).
cnf(c_31516,plain,
implies(implies(implies(X0,X1),X2),implies(X1,X2)) = truth,
inference(demodulation,[status(thm)],[c_31507,c_54]) ).
cnf(c_31555,plain,
implies(truth,implies(X0,implies(implies(X0,X1),implies(X2,X1)))) = truth,
inference(superposition,[status(thm)],[c_55,c_31516]) ).
cnf(c_31599,plain,
implies(X0,implies(implies(X0,X1),implies(X2,X1))) = truth,
inference(demodulation,[status(thm)],[c_31555,c_54]) ).
cnf(c_31745,plain,
implies(not(implies(X0,X1)),big_V(X0,X1)) = truth,
inference(superposition,[status(thm)],[c_50,c_31477]) ).
cnf(c_31789,plain,
big_V(implies(not(X0),not(truth)),X0) = implies(truth,X0),
inference(superposition,[status(thm)],[c_273,c_50]) ).
cnf(c_31806,plain,
big_V(X0,implies(not(X0),not(truth))) = X0,
inference(demodulation,[status(thm)],[c_31789,c_54,c_105]) ).
cnf(c_32003,plain,
big_V(X0,implies(implies(X0,X1),implies(X2,X1))) = implies(truth,implies(implies(X0,X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_31599,c_50]) ).
cnf(c_32031,plain,
big_V(X0,implies(implies(X0,X1),implies(X2,X1))) = implies(implies(X0,X1),implies(X2,X1)),
inference(demodulation,[status(thm)],[c_32003,c_54]) ).
cnf(c_33608,plain,
implies(not(implies(X0,not(truth))),X0) = truth,
inference(superposition,[status(thm)],[c_31463,c_31745]) ).
cnf(c_33694,plain,
implies(truth,implies(X0,implies(not(X0),not(truth)))) = truth,
inference(superposition,[status(thm)],[c_33608,c_57]) ).
cnf(c_33715,plain,
implies(X0,implies(not(X0),not(truth))) = truth,
inference(demodulation,[status(thm)],[c_33694,c_54]) ).
cnf(c_33744,plain,
big_V(X0,implies(not(X0),not(truth))) = implies(truth,implies(not(X0),not(truth))),
inference(superposition,[status(thm)],[c_33715,c_50]) ).
cnf(c_33789,plain,
implies(not(X0),not(truth)) = X0,
inference(demodulation,[status(thm)],[c_33744,c_54,c_31806]) ).
cnf(c_33814,plain,
big_V(not(X0),not(truth)) = implies(X0,not(truth)),
inference(superposition,[status(thm)],[c_33789,c_50]) ).
cnf(c_33842,plain,
implies(X0,not(truth)) = not(X0),
inference(demodulation,[status(thm)],[c_33814,c_31463]) ).
cnf(c_33848,plain,
not(not(X0)) = X0,
inference(demodulation,[status(thm)],[c_33789,c_33842]) ).
cnf(c_33849,plain,
big_hat(X0,truth) = X0,
inference(demodulation,[status(thm)],[c_31467,c_33848]) ).
cnf(c_33850,plain,
big_hat(truth,X0) = X0,
inference(demodulation,[status(thm)],[c_31462,c_33848]) ).
cnf(c_33853,plain,
big_V(not(X0),not(X1)) = not(big_hat(X1,X0)),
inference(superposition,[status(thm)],[c_256,c_33848]) ).
cnf(c_33855,plain,
not(big_V(X0,not(X1))) = big_hat(X1,not(X0)),
inference(superposition,[status(thm)],[c_33848,c_256]) ).
cnf(c_33874,plain,
big_hat(not(big_hat(X0,X1)),X2) = big_hat(X2,not(big_hat(X1,X0))),
inference(demodulation,[status(thm)],[c_260,c_33853,c_33855]) ).
cnf(c_33903,plain,
big_hat(truth,not(big_hat(X0,X1))) = not(big_hat(X1,X0)),
inference(superposition,[status(thm)],[c_33874,c_33849]) ).
cnf(c_33911,plain,
not(big_hat(X0,X1)) = not(big_hat(X1,X0)),
inference(demodulation,[status(thm)],[c_33903,c_33850]) ).
cnf(c_34408,plain,
big_V(implies(X0,X1),implies(implies(X1,not(truth)),not(X0))) = implies(implies(X1,not(truth)),not(X0)),
inference(superposition,[status(thm)],[c_33842,c_31449]) ).
cnf(c_34452,plain,
implies(not(X0),not(X1)) = implies(X1,X0),
inference(demodulation,[status(thm)],[c_34408,c_285,c_33842]) ).
cnf(c_36225,plain,
implies(not(X0),X1) = implies(not(X1),X0),
inference(superposition,[status(thm)],[c_33848,c_34452]) ).
cnf(c_39064,plain,
implies(not(big_hat(X0,X1)),X2) = implies(not(X2),big_hat(X1,X0)),
inference(superposition,[status(thm)],[c_33911,c_36225]) ).
cnf(c_95550,plain,
implies(X0,X0) = big_V(truth,X0),
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_95553,plain,
big_V(X0,truth) = truth,
inference(superposition,[status(thm)],[c_50,c_879]) ).
cnf(c_95555,plain,
big_V(truth,X0) = truth,
inference(superposition,[status(thm)],[c_105,c_95553]) ).
cnf(c_95563,plain,
implies(X0,X0) = truth,
inference(light_normalisation,[status(thm)],[c_95550,c_95555]) ).
cnf(c_95575,plain,
implies(implies(X0,truth),implies(X1,implies(X0,X1))) = truth,
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_95580,plain,
implies(implies(truth,X0),implies(implies(X0,X1),X1)) = truth,
inference(superposition,[status(thm)],[c_54,c_55]) ).
cnf(c_95584,plain,
implies(truth,implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))) = truth,
inference(superposition,[status(thm)],[c_55,c_55]) ).
cnf(c_95586,plain,
implies(implies(X0,implies(X1,X2)),implies(truth,implies(X0,implies(implies(X2,X3),implies(X1,X3))))) = truth,
inference(superposition,[status(thm)],[c_55,c_55]) ).
cnf(c_95589,plain,
implies(X0,big_V(X0,X1)) = truth,
inference(demodulation,[status(thm)],[c_95580,c_50,c_54]) ).
cnf(c_95590,plain,
implies(X0,implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[c_95575,c_54,c_879]) ).
cnf(c_95593,plain,
implies(implies(X0,implies(X1,X2)),implies(X0,implies(implies(X2,X3),implies(X1,X3)))) = truth,
inference(demodulation,[status(thm)],[c_95586,c_54]) ).
cnf(c_95594,plain,
implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)) = truth,
inference(demodulation,[status(thm)],[c_95584,c_54]) ).
cnf(c_95629,plain,
big_V(X0,implies(truth,implies(X1,X0))) = implies(truth,implies(X1,X0)),
inference(superposition,[status(thm)],[c_95563,c_32031]) ).
cnf(c_95639,plain,
implies(big_V(X0,X1),X1) = implies(X0,X1),
inference(demodulation,[status(thm)],[c_95629,c_54,c_359]) ).
cnf(c_95644,plain,
implies(X0,big_V(X1,X0)) = truth,
inference(superposition,[status(thm)],[c_105,c_95589]) ).
cnf(c_95654,plain,
implies(implies(X0,X1),implies(truth,implies(X0,big_V(X1,X2)))) = truth,
inference(superposition,[status(thm)],[c_95589,c_55]) ).
cnf(c_95658,plain,
implies(implies(X0,X1),implies(X0,big_V(X1,X2))) = truth,
inference(demodulation,[status(thm)],[c_95654,c_54]) ).
cnf(c_95692,plain,
big_V(X0,big_V(X1,X0)) = implies(truth,big_V(X1,X0)),
inference(superposition,[status(thm)],[c_95644,c_50]) ).
cnf(c_95699,plain,
big_V(X0,big_V(X1,X0)) = big_V(X1,X0),
inference(demodulation,[status(thm)],[c_95692,c_54]) ).
cnf(c_95708,plain,
big_V(implies(not(X0),not(truth)),X0) = implies(truth,X0),
inference(superposition,[status(thm)],[c_273,c_50]) ).
cnf(c_95719,plain,
big_V(X0,implies(not(X0),not(truth))) = X0,
inference(demodulation,[status(thm)],[c_95708,c_54,c_105]) ).
cnf(c_95734,plain,
implies(truth,implies(X0,big_V(implies(X1,X0),X2))) = truth,
inference(superposition,[status(thm)],[c_95590,c_95658]) ).
cnf(c_95762,plain,
implies(X0,big_V(implies(X1,X0),X2)) = truth,
inference(demodulation,[status(thm)],[c_95734,c_54]) ).
cnf(c_95786,plain,
implies(implies(implies(big_V(X0,X1),implies(X2,X1)),X3),implies(implies(X2,implies(X0,X1)),X3)) = truth,
inference(superposition,[status(thm)],[c_50,c_95594]) ).
cnf(c_96032,plain,
implies(big_V(X0,X1),X0) = implies(X1,X0),
inference(superposition,[status(thm)],[c_105,c_95639]) ).
cnf(c_96231,plain,
implies(X0,big_V(X1,implies(X2,X0))) = truth,
inference(superposition,[status(thm)],[c_95699,c_95762]) ).
cnf(c_97109,plain,
implies(not(truth),X0) = truth,
inference(superposition,[status(thm)],[c_95719,c_96231]) ).
cnf(c_97188,plain,
implies(big_V(big_V(X0,X1),implies(X2,X1)),implies(implies(X2,implies(X0,X1)),implies(X2,X1))) = truth,
inference(superposition,[status(thm)],[c_50,c_95786]) ).
cnf(c_97990,plain,
big_V(not(truth),X0) = implies(truth,X0),
inference(superposition,[status(thm)],[c_97109,c_50]) ).
cnf(c_98026,plain,
big_V(not(truth),X0) = X0,
inference(demodulation,[status(thm)],[c_97990,c_54]) ).
cnf(c_98064,plain,
big_V(X0,not(truth)) = X0,
inference(superposition,[status(thm)],[c_98026,c_105]) ).
cnf(c_98173,plain,
implies(not(X0),implies(X0,X1)) = truth,
inference(superposition,[status(thm)],[c_285,c_96231]) ).
cnf(c_98178,plain,
implies(big_V(X0,not(truth)),implies(implies(not(big_V(X0,not(truth))),implies(X0,not(truth))),implies(not(big_V(X0,not(truth))),not(truth)))) = truth,
inference(superposition,[status(thm)],[c_95719,c_97188]) ).
cnf(c_98369,plain,
implies(X0,implies(not(X0),not(truth))) = truth,
inference(demodulation,[status(thm)],[c_98178,c_54,c_98173,c_98064]) ).
cnf(c_98607,plain,
implies(truth,implies(implies(implies(X0,X1),X2),implies(not(X0),X2))) = truth,
inference(superposition,[status(thm)],[c_98173,c_55]) ).
cnf(c_98643,plain,
implies(implies(implies(X0,X1),X2),implies(not(X0),X2)) = truth,
inference(demodulation,[status(thm)],[c_98607,c_54]) ).
cnf(c_98713,plain,
implies(truth,implies(X0,implies(implies(not(truth),X1),implies(not(X0),X1)))) = truth,
inference(superposition,[status(thm)],[c_98369,c_95593]) ).
cnf(c_98728,plain,
implies(X0,implies(not(X0),X1)) = truth,
inference(demodulation,[status(thm)],[c_98713,c_54,c_97109]) ).
cnf(c_98764,plain,
big_V(X0,implies(not(X0),X1)) = implies(truth,implies(not(X0),X1)),
inference(superposition,[status(thm)],[c_98728,c_50]) ).
cnf(c_98814,plain,
big_V(X0,implies(not(X0),X1)) = implies(not(X0),X1),
inference(demodulation,[status(thm)],[c_98764,c_54]) ).
cnf(c_98842,plain,
implies(not(X0),not(truth)) = X0,
inference(demodulation,[status(thm)],[c_95719,c_98814]) ).
cnf(c_98860,plain,
big_V(not(X0),not(truth)) = implies(X0,not(truth)),
inference(superposition,[status(thm)],[c_98842,c_50]) ).
cnf(c_98889,plain,
implies(X0,not(truth)) = not(X0),
inference(demodulation,[status(thm)],[c_98860,c_98064]) ).
cnf(c_98898,plain,
not(not(X0)) = X0,
inference(demodulation,[status(thm)],[c_98842,c_98889]) ).
cnf(c_98903,plain,
big_V(not(X0),not(X1)) = not(big_hat(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_98898]) ).
cnf(c_98908,plain,
not(big_V(X0,not(X1))) = big_hat(not(X0),X1),
inference(superposition,[status(thm)],[c_98898,c_51]) ).
cnf(c_98911,plain,
not(big_V(not(X0),X1)) = big_hat(X0,not(X1)),
inference(superposition,[status(thm)],[c_98898,c_51]) ).
cnf(c_98913,plain,
big_hat(X0,X1) = big_hat(X1,X0),
inference(demodulation,[status(thm)],[c_256,c_98898,c_98911]) ).
cnf(c_99544,plain,
implies(implies(implies(X0,X1),not(truth)),not(not(X0))) = truth,
inference(superposition,[status(thm)],[c_98889,c_98643]) ).
cnf(c_99554,plain,
implies(not(implies(X0,X1)),X0) = truth,
inference(demodulation,[status(thm)],[c_99544,c_98889,c_98898]) ).
cnf(c_99631,plain,
big_V(not(implies(X0,X1)),X0) = implies(truth,X0),
inference(superposition,[status(thm)],[c_99554,c_50]) ).
cnf(c_99678,plain,
big_V(X0,not(implies(X0,X1))) = X0,
inference(demodulation,[status(thm)],[c_99631,c_54,c_105]) ).
cnf(c_102199,plain,
not(big_hat(X0,not(X1))) = big_V(not(X0),X1),
inference(superposition,[status(thm)],[c_98898,c_98903]) ).
cnf(c_102212,plain,
implies(not(X0),not(big_hat(X0,X1))) = truth,
inference(superposition,[status(thm)],[c_98903,c_95589]) ).
cnf(c_102218,plain,
big_V(not(X0),not(X1)) = not(big_hat(X1,X0)),
inference(superposition,[status(thm)],[c_98903,c_105]) ).
cnf(c_102293,plain,
implies(truth,implies(big_hat(X0,X1),X0)) = truth,
inference(superposition,[status(thm)],[c_102212,c_57]) ).
cnf(c_102321,plain,
implies(big_hat(X0,X1),X0) = truth,
inference(demodulation,[status(thm)],[c_102293,c_54]) ).
cnf(c_102341,plain,
implies(big_hat(X0,X1),X1) = truth,
inference(superposition,[status(thm)],[c_98913,c_102321]) ).
cnf(c_102375,plain,
big_V(big_hat(X0,X1),X0) = implies(truth,X0),
inference(superposition,[status(thm)],[c_102321,c_50]) ).
cnf(c_102430,plain,
big_V(X0,big_hat(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_102375,c_54,c_105]) ).
cnf(c_102496,plain,
big_V(big_hat(X0,X1),X1) = implies(truth,X1),
inference(superposition,[status(thm)],[c_102341,c_50]) ).
cnf(c_102551,plain,
big_V(X0,big_hat(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_102496,c_54,c_105]) ).
cnf(c_107437,plain,
big_hat(not(X0),implies(X0,X1)) = not(X0),
inference(superposition,[status(thm)],[c_99678,c_98908]) ).
cnf(c_117628,plain,
implies(not(big_hat(X0,X1)),not(X2)) = implies(X2,big_hat(X1,X0)),
inference(superposition,[status(thm)],[c_98898,c_39064]) ).
cnf(c_117643,plain,
implies(not(big_hat(implies(X0,X1),not(X0))),X2) = implies(not(X2),not(X0)),
inference(superposition,[status(thm)],[c_107437,c_39064]) ).
cnf(c_117969,plain,
implies(not(X0),not(X1)) = implies(X1,X0),
inference(demodulation,[status(thm)],[c_117643,c_105,c_102199,c_99678]) ).
cnf(c_120513,plain,
implies(not(big_hat(X0,X1)),not(X1)) = implies(not(X0),not(X1)),
inference(superposition,[status(thm)],[c_102218,c_96032]) ).
cnf(c_120516,plain,
implies(not(big_hat(X0,X1)),not(X0)) = implies(not(X1),not(X0)),
inference(superposition,[status(thm)],[c_102218,c_95639]) ).
cnf(c_120567,plain,
implies(X0,big_hat(X1,X0)) = implies(X0,X1),
inference(demodulation,[status(thm)],[c_120516,c_117969,c_117628]) ).
cnf(c_120568,plain,
implies(X0,big_hat(X0,X1)) = implies(X0,X1),
inference(demodulation,[status(thm)],[c_120513,c_117969,c_117628]) ).
cnf(c_120756,plain,
implies(implies(X0,X1),big_hat(X1,X0)) = big_V(X0,big_hat(X1,X0)),
inference(superposition,[status(thm)],[c_120567,c_50]) ).
cnf(c_120877,plain,
implies(implies(X0,X1),big_hat(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_120756,c_102551]) ).
cnf(c_122443,plain,
implies(implies(X0,X1),big_hat(X0,X1)) = big_V(X0,big_hat(X0,X1)),
inference(superposition,[status(thm)],[c_120568,c_50]) ).
cnf(c_122569,plain,
implies(implies(X0,X1),big_hat(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_122443,c_102430]) ).
cnf(c_122801,plain,
implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,big_hat(X2,X1)))) = truth,
inference(superposition,[status(thm)],[c_120877,c_55]) ).
cnf(c_137836,plain,
implies(implies(implies(X0,X1),implies(X1,X0)),implies(X1,X0)) = truth,
inference(superposition,[status(thm)],[c_122569,c_122801]) ).
cnf(c_138008,plain,
big_V(implies(X0,X1),implies(X1,X0)) = truth,
inference(demodulation,[status(thm)],[c_137836,c_50]) ).
cnf(c_138104,plain,
truth != truth,
inference(demodulation,[status(thm)],[c_49,c_138008]) ).
cnf(c_138105,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_138104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL109-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 19:32:59 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 207.69/28.29 % SZS status Started for theBenchmark.p
% 207.69/28.29 % SZS status Unsatisfiable for theBenchmark.p
% 207.69/28.29
% 207.69/28.29 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 207.69/28.29
% 207.69/28.29 ------ iProver source info
% 207.69/28.29
% 207.69/28.29 git: date: 2024-05-02 19:28:25 +0000
% 207.69/28.29 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 207.69/28.29 git: non_committed_changes: false
% 207.69/28.29
% 207.69/28.29 ------ Parsing...successful
% 207.69/28.29
% 207.69/28.29
% 207.69/28.29
% 207.69/28.29 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 207.69/28.29
% 207.69/28.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 207.69/28.29
% 207.69/28.29 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 207.69/28.29 ------ Proving...
% 207.69/28.29 ------ Problem Properties
% 207.69/28.29
% 207.69/28.29
% 207.69/28.29 clauses 7
% 207.69/28.29 conjectures 1
% 207.69/28.29 EPR 0
% 207.69/28.29 Horn 7
% 207.69/28.29 unary 7
% 207.69/28.29 binary 0
% 207.69/28.29 lits 7
% 207.69/28.29 lits eq 7
% 207.69/28.29 fd_pure 0
% 207.69/28.29 fd_pseudo 0
% 207.69/28.29 fd_cond 0
% 207.69/28.29 fd_pseudo_cond 0
% 207.69/28.29 AC symbols 0
% 207.69/28.29
% 207.69/28.29 ------ Input Options Time Limit: Unbounded
% 207.69/28.29
% 207.69/28.29
% 207.69/28.29 ------
% 207.69/28.29 Current options:
% 207.69/28.29 ------
% 207.69/28.29
% 207.69/28.29
% 207.69/28.29
% 207.69/28.29
% 207.69/28.29 ------ Proving...
% 207.69/28.29
% 207.69/28.29
% 207.69/28.29 % SZS status Unsatisfiable for theBenchmark.p
% 207.69/28.29
% 207.69/28.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 207.69/28.29
% 207.69/28.30
%------------------------------------------------------------------------------