TSTP Solution File: LCL381-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL381-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Thu Aug 31 07:44:08 EDT 2023
% Result : Unsatisfiable 135.61s 18.87s
% Output : CNFRefutation 135.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 5
% Syntax : Number of clauses : 123 ( 58 unt; 0 nHn; 33 RR)
% Number of literals : 202 ( 0 equ; 82 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 357 ( 135 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_50,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(c_52,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(c_53,negated_conjecture,
~ is_a_theorem(implies(implies(implies(not(not(x)),y),z),implies(implies(x,y),z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_42) ).
cnf(c_106,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_110,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_106,c_49]) ).
cnf(c_111,plain,
~ is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))),
inference(superposition,[status(thm)],[c_106,c_53]) ).
cnf(c_135,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_154,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),X3)) ),
inference(superposition,[status(thm)],[c_50,c_110]) ).
cnf(c_155,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_51,c_110]) ).
cnf(c_156,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_52,c_110]) ).
cnf(c_204,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_155,c_49]) ).
cnf(c_233,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_50,c_156]) ).
cnf(c_234,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_156]) ).
cnf(c_235,plain,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_52,c_156]) ).
cnf(c_236,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_135,c_156]) ).
cnf(c_387,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_51,c_110]) ).
cnf(c_388,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_52,c_110]) ).
cnf(c_392,plain,
( ~ is_a_theorem(implies(implies(not(implies(not(X0),X1)),X2),X3))
| is_a_theorem(implies(X0,X3)) ),
inference(superposition,[status(thm)],[c_235,c_110]) ).
cnf(c_393,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(not(X2),X1)),X3))
| is_a_theorem(implies(X2,X3)) ),
inference(superposition,[status(thm)],[c_233,c_110]) ).
cnf(c_486,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_233,c_49]) ).
cnf(c_506,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_486,c_388]) ).
cnf(c_614,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_506,c_110]) ).
cnf(c_744,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(superposition,[status(thm)],[c_50,c_154]) ).
cnf(c_15410,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_744,c_49]) ).
cnf(c_15588,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(implies(X1,X3),implies(X2,X3)))) ),
inference(superposition,[status(thm)],[c_15410,c_154]) ).
cnf(c_15615,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X1,X3),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_15588,c_49]) ).
cnf(c_15628,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_387,c_614]) ).
cnf(c_15687,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_51,c_15615]) ).
cnf(c_15724,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_235,c_15687]) ).
cnf(c_15763,plain,
is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_15724,c_154]) ).
cnf(c_15764,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(implies(not(not(X0)),X2),X0),X1))),
inference(superposition,[status(thm)],[c_15724,c_15687]) ).
cnf(c_15811,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(implies(not(X0),X2)),X3)))),
inference(superposition,[status(thm)],[c_15763,c_392]) ).
cnf(c_16014,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_15724,c_15628]) ).
cnf(c_20499,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(not(not(X0)),X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_15764,c_49]) ).
cnf(c_21376,plain,
( ~ is_a_theorem(implies(implies(not(not(X0)),X1),X0))
| ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_20499,c_49]) ).
cnf(c_25129,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_16014]) ).
cnf(c_25345,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_25129,c_21376]) ).
cnf(c_25956,plain,
is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3))),
inference(superposition,[status(thm)],[c_15811,c_25345]) ).
cnf(c_78474,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_78477,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_78494,plain,
is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)),
inference(superposition,[status(thm)],[c_25956,c_78474]) ).
cnf(c_78497,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_78494,c_78474]) ).
cnf(c_78525,plain,
is_a_theorem(implies(X0,implies(not(implies(not(implies(not(X0),X1)),X2)),X3))),
inference(superposition,[status(thm)],[c_235,c_388]) ).
cnf(c_78540,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_78497,c_204]) ).
cnf(c_78561,plain,
is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))),
inference(superposition,[status(thm)],[c_233,c_78540]) ).
cnf(c_78569,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_78561,c_388]) ).
cnf(c_78703,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_78569,c_110]) ).
cnf(c_78805,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_78703]) ).
cnf(c_79030,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_387,c_614]) ).
cnf(c_79127,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_78477,c_79030]) ).
cnf(c_79128,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_387,c_79030]) ).
cnf(c_79690,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_52,c_79127]) ).
cnf(c_79725,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_78805,c_79127]) ).
cnf(c_79771,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_78805,c_79725]) ).
cnf(c_79788,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_79771,c_79128]) ).
cnf(c_79790,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_79771,c_204]) ).
cnf(c_79866,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_234,c_79690]) ).
cnf(c_79959,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_79866,c_204]) ).
cnf(c_80027,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_79790]) ).
cnf(c_80100,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_80027,c_393]) ).
cnf(c_80105,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_80100,c_110]) ).
cnf(c_80592,plain,
is_a_theorem(implies(not(implies(not(implies(not(implies(X0,implies(not(X0),X1))),X2)),X3)),X4)),
inference(superposition,[status(thm)],[c_78525,c_79959]) ).
cnf(c_82980,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(X0),X2))),X3))),
inference(superposition,[status(thm)],[c_52,c_80105]) ).
cnf(c_83266,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(implies(X2,implies(X3,X3))),X4))),X5))),
inference(superposition,[status(thm)],[c_82980,c_79788]) ).
cnf(c_369895,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_369898,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_369910,plain,
is_a_theorem(implies(not(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))),X4)),
inference(superposition,[status(thm)],[c_83266,c_369895]) ).
cnf(c_369946,plain,
( ~ is_a_theorem(implies(X0,not(implies(not(X1),X2))))
| is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(superposition,[status(thm)],[c_236,c_388]) ).
cnf(c_369991,plain,
is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)),
inference(superposition,[status(thm)],[c_25956,c_369895]) ).
cnf(c_369995,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_369991,c_369895]) ).
cnf(c_369997,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_369995,c_204]) ).
cnf(c_370027,plain,
~ is_a_theorem(implies(not(not(x)),x)),
inference(superposition,[status(thm)],[c_369898,c_111]) ).
cnf(c_370051,plain,
is_a_theorem(implies(not(implies(not(implies(X0,implies(not(X0),X1))),X2)),X3)),
inference(superposition,[status(thm)],[c_80592,c_369895]) ).
cnf(c_370243,plain,
is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(superposition,[status(thm)],[c_370051,c_369895]) ).
cnf(c_370249,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_370243,c_204]) ).
cnf(c_370258,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_50,c_370249]) ).
cnf(c_370260,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_369898,c_370249]) ).
cnf(c_370292,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X1),X2)) ),
inference(superposition,[status(thm)],[c_370260,c_49]) ).
cnf(c_370381,plain,
is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_370258,c_154]) ).
cnf(c_370439,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_370381,c_388]) ).
cnf(c_370443,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_370439,c_110]) ).
cnf(c_370732,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))),
inference(superposition,[status(thm)],[c_369910,c_369895]) ).
cnf(c_370747,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_370732,c_369997]) ).
cnf(c_370753,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_370747,c_204]) ).
cnf(c_370824,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_370753]) ).
cnf(c_370872,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(not(implies(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_370824,c_370292]) ).
cnf(c_370873,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
inference(superposition,[status(thm)],[c_370824,c_110]) ).
cnf(c_370876,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_370824,c_154]) ).
cnf(c_370890,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_370876,c_370753]) ).
cnf(c_370892,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_370890,c_110]) ).
cnf(c_371083,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_370876,c_370892]) ).
cnf(c_371109,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X2))),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_371083,c_204]) ).
cnf(c_373520,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_614]) ).
cnf(c_373642,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(X1,X0)),X2)) ),
inference(superposition,[status(thm)],[c_373520,c_370872]) ).
cnf(c_373748,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_373642,c_204]) ).
cnf(c_374299,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_50,c_373748]) ).
cnf(c_374468,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) ),
inference(superposition,[status(thm)],[c_374299,c_154]) ).
cnf(c_380315,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_50,c_370873]) ).
cnf(c_380320,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X2,X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_387,c_370873]) ).
cnf(c_380596,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_380315,c_49]) ).
cnf(c_381035,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_380320,c_49]) ).
cnf(c_395907,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X3,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_374468,c_49]) ).
cnf(c_395964,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_51,c_395907]) ).
cnf(c_396683,plain,
is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))),
inference(superposition,[status(thm)],[c_370258,c_395964]) ).
cnf(c_396689,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_234,c_395964]) ).
cnf(c_397153,plain,
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_396689,c_381035]) ).
cnf(c_397154,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_396689,c_380596]) ).
cnf(c_398114,plain,
is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),
inference(superposition,[status(thm)],[c_396683,c_371109]) ).
cnf(c_398682,plain,
is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_398114,c_154]) ).
cnf(c_399037,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_369898,c_397153]) ).
cnf(c_399532,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_236,c_399037]) ).
cnf(c_399715,plain,
is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_398682,c_399037]) ).
cnf(c_407207,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_397154,c_399037]) ).
cnf(c_408024,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_407207,c_154]) ).
cnf(c_408220,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_408024,c_370443]) ).
cnf(c_408247,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_408220,c_110]) ).
cnf(c_409819,plain,
is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_399715,c_408247]) ).
cnf(c_410238,plain,
is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_409819,c_399532]) ).
cnf(c_412170,plain,
is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_410238,c_369946]) ).
cnf(c_412979,plain,
is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[status(thm)],[c_412170,c_399037]) ).
cnf(c_412981,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_370027,c_412979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL381-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n014.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 Aug 24 23:36:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 135.61/18.87 % SZS status Started for theBenchmark.p
% 135.61/18.87 % SZS status Unsatisfiable for theBenchmark.p
% 135.61/18.87
% 135.61/18.87 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 135.61/18.87
% 135.61/18.87 ------ iProver source info
% 135.61/18.87
% 135.61/18.87 git: date: 2023-05-31 18:12:56 +0000
% 135.61/18.87 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 135.61/18.87 git: non_committed_changes: false
% 135.61/18.87 git: last_make_outside_of_git: false
% 135.61/18.87
% 135.61/18.87 ------ Parsing...successful
% 135.61/18.87
% 135.61/18.87
% 135.61/18.87
% 135.61/18.87 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 135.61/18.87
% 135.61/18.87 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 135.61/18.87 ------ Proving...
% 135.61/18.87 ------ Problem Properties
% 135.61/18.87
% 135.61/18.87
% 135.61/18.87 clauses 5
% 135.61/18.87 conjectures 1
% 135.61/18.87 EPR 0
% 135.61/18.87 Horn 5
% 135.61/18.87 unary 4
% 135.61/18.87 binary 0
% 135.61/18.87 lits 7
% 135.61/18.87 lits eq 0
% 135.61/18.87 fd_pure 0
% 135.61/18.87 fd_pseudo 0
% 135.61/18.87 fd_cond 0
% 135.61/18.87 fd_pseudo_cond 0
% 135.61/18.87 AC symbols 0
% 135.61/18.87
% 135.61/18.87 ------ Input Options Time Limit: Unbounded
% 135.61/18.87
% 135.61/18.87
% 135.61/18.87 ------
% 135.61/18.87 Current options:
% 135.61/18.87 ------
% 135.61/18.87
% 135.61/18.87
% 135.61/18.87
% 135.61/18.87
% 135.61/18.87 ------ Proving...
% 135.61/18.87
% 135.61/18.87
% 135.61/18.87 % SZS status Unsatisfiable for theBenchmark.p
% 135.61/18.87
% 135.61/18.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 135.61/18.87
% 135.61/18.88
%------------------------------------------------------------------------------