TSTP Solution File: LCL159-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL159-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n015.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 : Wed Aug 31 17:39:07 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 79 unt; 0 def)
% Number of atoms : 79 ( 78 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 44 ( 44 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 4 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f770,plain,
$false,
inference(trivial_inequality_removal,[],[f769]) ).
fof(f769,plain,
implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)) != implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f768,f552]) ).
fof(f552,plain,
! [X6] : implies(implies(X6,falsehood),falsehood) = X6,
inference(forward_demodulation,[],[f547,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f547,plain,
! [X6] : implies(implies(X6,falsehood),falsehood) = implies(truth,X6),
inference(superposition,[],[f3,f506]) ).
fof(f506,plain,
! [X0] : truth = implies(falsehood,X0),
inference(backward_demodulation,[],[f31,f475]) ).
fof(f475,plain,
! [X4] : truth = implies(X4,truth),
inference(superposition,[],[f243,f193]) ).
fof(f193,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f51,f175]) ).
fof(f175,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f158,f1]) ).
fof(f158,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(backward_demodulation,[],[f111,f156]) ).
fof(f156,plain,
truth = not(falsehood),
inference(forward_demodulation,[],[f153,f1]) ).
fof(f153,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f111,f140]) ).
fof(f140,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f111,f51]) ).
fof(f111,plain,
! [X0] : truth = implies(implies(not(falsehood),X0),X0),
inference(superposition,[],[f106,f27]) ).
fof(f27,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(definition_unfolding,[],[f7,f5,f5]) ).
fof(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).
fof(f106,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),X0),
inference(forward_demodulation,[],[f94,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).
fof(f94,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f51,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f243,plain,
! [X2,X3] : truth = implies(X3,implies(implies(X3,X2),X2)),
inference(forward_demodulation,[],[f220,f1]) ).
fof(f220,plain,
! [X2,X3] : truth = implies(implies(truth,X3),implies(implies(X3,X2),X2)),
inference(superposition,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f31,plain,
! [X0] : implies(not(X0),truth) = implies(falsehood,X0),
inference(superposition,[],[f27,f16]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f768,plain,
implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)) != implies(implies(implies(implies(implies(x,falsehood),y),falsehood),falsehood),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f767,f675]) ).
fof(f675,plain,
! [X5] : not(X5) = implies(X5,falsehood),
inference(forward_demodulation,[],[f674,f1]) ).
fof(f674,plain,
! [X5] : not(X5) = implies(implies(truth,X5),falsehood),
inference(forward_demodulation,[],[f650,f156]) ).
fof(f650,plain,
! [X5] : not(X5) = implies(implies(not(falsehood),X5),falsehood),
inference(superposition,[],[f552,f27]) ).
fof(f767,plain,
implies(implies(not(implies(implies(x,falsehood),y)),falsehood),implies(implies(x,implies(y,falsehood)),falsehood)) != implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f766,f675]) ).
fof(f766,plain,
implies(not(not(implies(implies(x,falsehood),y))),implies(implies(x,implies(y,falsehood)),falsehood)) != implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f765,f552]) ).
fof(f765,plain,
implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)) != implies(not(not(implies(implies(implies(implies(x,falsehood),falsehood),falsehood),y))),implies(implies(implies(implies(x,falsehood),falsehood),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f764,f1]) ).
fof(f764,plain,
implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)) != implies(not(not(implies(implies(implies(implies(truth,implies(x,falsehood)),falsehood),falsehood),y))),implies(implies(implies(implies(truth,implies(x,falsehood)),falsehood),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f763,f506]) ).
fof(f763,plain,
implies(not(not(implies(implies(implies(implies(implies(falsehood,implies(x,falsehood)),implies(x,falsehood)),falsehood),falsehood),y))),implies(implies(implies(implies(implies(falsehood,implies(x,falsehood)),implies(x,falsehood)),falsehood),implies(y,falsehood)),falsehood)) != implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f762,f552]) ).
fof(f762,plain,
implies(not(not(implies(implies(implies(implies(implies(implies(implies(falsehood,implies(x,falsehood)),falsehood),falsehood),implies(x,falsehood)),falsehood),falsehood),y))),implies(implies(implies(implies(implies(implies(implies(falsehood,implies(x,falsehood)),falsehood),falsehood),implies(x,falsehood)),falsehood),implies(y,falsehood)),falsehood)) != implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f761,f675]) ).
fof(f761,plain,
implies(not(not(implies(implies(implies(implies(implies(not(implies(falsehood,implies(x,falsehood))),falsehood),implies(x,falsehood)),falsehood),falsehood),y))),implies(implies(implies(implies(implies(not(implies(falsehood,implies(x,falsehood))),falsehood),implies(x,falsehood)),falsehood),implies(y,falsehood)),falsehood)) != implies(implies(implies(x,falsehood),y),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f760,f552]) ).
fof(f760,plain,
implies(not(not(implies(implies(implies(implies(implies(not(implies(falsehood,implies(x,falsehood))),falsehood),implies(x,falsehood)),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(implies(not(implies(falsehood,implies(x,falsehood))),falsehood),implies(x,falsehood)),falsehood),implies(y,falsehood)),falsehood)) != implies(implies(implies(x,falsehood),implies(implies(y,falsehood),falsehood)),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f759,f552]) ).
fof(f759,plain,
implies(not(not(implies(implies(implies(implies(implies(not(implies(falsehood,implies(x,falsehood))),falsehood),implies(x,falsehood)),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(implies(not(implies(falsehood,implies(x,falsehood))),falsehood),implies(x,falsehood)),falsehood),implies(y,falsehood)),falsehood)) != implies(implies(implies(implies(implies(x,falsehood),implies(implies(y,falsehood),falsehood)),falsehood),falsehood),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f758,f675]) ).
fof(f758,plain,
implies(not(not(implies(implies(implies(implies(implies(not(implies(falsehood,implies(x,falsehood))),falsehood),implies(x,falsehood)),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(implies(not(implies(falsehood,implies(x,falsehood))),falsehood),implies(x,falsehood)),falsehood),implies(y,falsehood)),falsehood)) != implies(implies(not(implies(implies(x,falsehood),implies(implies(y,falsehood),falsehood))),falsehood),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f757,f675]) ).
fof(f757,plain,
implies(implies(not(implies(implies(x,falsehood),implies(implies(y,falsehood),falsehood))),falsehood),implies(implies(x,implies(y,falsehood)),falsehood)) != implies(not(not(implies(implies(implies(implies(not(not(implies(falsehood,implies(x,falsehood)))),implies(x,falsehood)),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(not(not(implies(falsehood,implies(x,falsehood)))),implies(x,falsehood)),falsehood),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f756,f675]) ).
fof(f756,plain,
implies(not(not(implies(implies(implies(implies(not(not(implies(falsehood,implies(x,falsehood)))),implies(x,falsehood)),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(not(not(implies(falsehood,implies(x,falsehood)))),implies(x,falsehood)),falsehood),implies(y,falsehood)),falsehood)) != implies(not(not(implies(implies(x,falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(x,implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f755,f552]) ).
fof(f755,plain,
implies(not(not(implies(implies(implies(implies(not(not(implies(falsehood,implies(x,falsehood)))),implies(implies(implies(x,falsehood),falsehood),falsehood)),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(not(not(implies(falsehood,implies(x,falsehood)))),implies(implies(implies(x,falsehood),falsehood),falsehood)),falsehood),implies(y,falsehood)),falsehood)) != implies(not(not(implies(implies(implies(implies(x,falsehood),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(x,falsehood),falsehood),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f754,f675]) ).
fof(f754,plain,
implies(not(not(implies(implies(implies(implies(not(not(implies(falsehood,not(x)))),implies(implies(not(x),falsehood),falsehood)),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(not(not(implies(falsehood,not(x)))),implies(implies(not(x),falsehood),falsehood)),falsehood),implies(y,falsehood)),falsehood)) != implies(not(not(implies(implies(implies(not(x),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(not(x),falsehood),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f753,f675]) ).
fof(f753,plain,
implies(not(not(implies(implies(not(not(x)),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(not(not(x)),implies(y,falsehood)),falsehood)) != implies(not(not(implies(implies(implies(implies(not(not(implies(falsehood,not(x)))),implies(not(not(x)),falsehood)),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(not(not(implies(falsehood,not(x)))),implies(not(not(x)),falsehood)),falsehood),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f752,f675]) ).
fof(f752,plain,
implies(not(not(implies(not(not(not(x))),implies(implies(y,falsehood),falsehood)))),implies(implies(not(not(x)),implies(y,falsehood)),falsehood)) != implies(not(not(implies(implies(implies(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))),falsehood),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(implies(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))),falsehood),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f751,f675]) ).
fof(f751,plain,
implies(not(not(implies(not(not(not(x))),implies(implies(y,falsehood),falsehood)))),implies(implies(not(not(x)),implies(y,falsehood)),falsehood)) != implies(not(not(implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f750,f552]) ).
fof(f750,plain,
implies(not(not(implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),falsehood),implies(implies(y,falsehood),falsehood)))),implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),implies(y,falsehood)),falsehood)) != implies(not(not(implies(not(not(not(x))),implies(implies(implies(implies(y,falsehood),falsehood),falsehood),falsehood)))),implies(implies(not(not(x)),implies(implies(implies(y,falsehood),falsehood),falsehood)),falsehood)),
inference(forward_demodulation,[],[f749,f675]) ).
fof(f749,plain,
implies(not(not(implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),falsehood),not(implies(y,falsehood))))),implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),implies(y,falsehood)),falsehood)) != implies(not(not(implies(not(not(not(x))),implies(implies(not(implies(y,falsehood)),falsehood),falsehood)))),implies(implies(not(not(x)),implies(not(implies(y,falsehood)),falsehood)),falsehood)),
inference(forward_demodulation,[],[f748,f675]) ).
fof(f748,plain,
implies(not(not(implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),falsehood),not(implies(y,falsehood))))),implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),implies(y,falsehood)),falsehood)) != implies(not(not(implies(not(not(not(x))),implies(not(not(implies(y,falsehood))),falsehood)))),implies(implies(not(not(x)),not(not(implies(y,falsehood)))),falsehood)),
inference(forward_demodulation,[],[f747,f552]) ).
fof(f747,plain,
implies(not(not(implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),falsehood),not(implies(y,falsehood))))),implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),implies(y,falsehood)),falsehood)) != implies(not(not(implies(not(not(not(x))),implies(implies(implies(not(not(implies(y,falsehood))),falsehood),falsehood),falsehood)))),implies(implies(not(not(x)),implies(implies(not(not(implies(y,falsehood))),falsehood),falsehood)),falsehood)),
inference(forward_demodulation,[],[f746,f675]) ).
fof(f746,plain,
implies(not(not(implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),falsehood),not(implies(y,falsehood))))),implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),implies(y,falsehood)),falsehood)) != implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(implies(y,falsehood)))),falsehood),falsehood)))),implies(implies(not(not(x)),implies(not(not(not(implies(y,falsehood)))),falsehood)),falsehood)),
inference(forward_demodulation,[],[f745,f1]) ).
fof(f745,plain,
implies(not(not(implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),falsehood),not(implies(y,falsehood))))),implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),implies(y,falsehood)),falsehood)) != implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(implies(y,falsehood)))),implies(truth,falsehood)),falsehood)))),implies(implies(not(not(x)),implies(not(not(not(implies(y,falsehood)))),implies(truth,falsehood))),falsehood)),
inference(forward_demodulation,[],[f744,f552]) ).
fof(f744,plain,
implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(implies(y,falsehood)))),implies(truth,falsehood)),falsehood)))),implies(implies(not(not(x)),implies(not(not(not(implies(y,falsehood)))),implies(truth,falsehood))),falsehood)) != implies(not(not(implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),falsehood),not(implies(y,falsehood))))),implies(implies(implies(implies(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))),falsehood),falsehood),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f743,f675]) ).
fof(f743,plain,
implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(implies(y,falsehood)))),implies(truth,falsehood)),falsehood)))),implies(implies(not(not(x)),implies(not(not(not(implies(y,falsehood)))),implies(truth,falsehood))),falsehood)) != implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(implies(y,falsehood))))),implies(implies(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),falsehood),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f742,f675]) ).
fof(f742,plain,
implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(implies(y,falsehood)))),implies(truth,falsehood)),falsehood)))),implies(implies(not(not(x)),implies(not(not(not(implies(y,falsehood)))),implies(truth,falsehood))),falsehood)) != implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(implies(y,falsehood))))),implies(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),implies(y,falsehood)),falsehood)),
inference(forward_demodulation,[],[f741,f506]) ).
fof(f741,plain,
implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(implies(y,falsehood))))),implies(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),implies(y,falsehood)),falsehood)) != implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(implies(y,falsehood)))),implies(implies(falsehood,implies(y,falsehood)),falsehood)),falsehood)))),implies(implies(not(not(x)),implies(not(not(not(implies(y,falsehood)))),implies(implies(falsehood,implies(y,falsehood)),falsehood))),falsehood)),
inference(forward_demodulation,[],[f740,f675]) ).
fof(f740,plain,
implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(implies(y,falsehood))))),implies(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),implies(y,falsehood)),falsehood)) != implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(implies(y,falsehood)))),not(implies(falsehood,implies(y,falsehood)))),falsehood)))),implies(implies(not(not(x)),implies(not(not(not(implies(y,falsehood)))),not(implies(falsehood,implies(y,falsehood))))),falsehood)),
inference(forward_demodulation,[],[f739,f675]) ).
fof(f739,plain,
implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(not(y)))),not(implies(falsehood,not(y)))),falsehood)))),implies(implies(not(not(x)),implies(not(not(not(not(y)))),not(implies(falsehood,not(y))))),falsehood)) != implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(not(y))))),implies(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),not(y)),falsehood)),
inference(forward_demodulation,[],[f738,f675]) ).
fof(f738,plain,
implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(not(y)))),not(implies(falsehood,not(y)))),falsehood)))),implies(implies(not(not(x)),implies(not(not(not(not(y)))),not(implies(falsehood,not(y))))),falsehood)) != implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),not(y)))),
inference(forward_demodulation,[],[f737,f552]) ).
fof(f737,plain,
implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),not(y)))) != implies(not(not(implies(not(not(not(x))),implies(implies(not(not(not(not(y)))),not(implies(falsehood,not(y)))),falsehood)))),implies(implies(not(not(x)),implies(implies(implies(not(not(not(not(y)))),not(implies(falsehood,not(y)))),falsehood),falsehood)),falsehood)),
inference(forward_demodulation,[],[f736,f675]) ).
fof(f736,plain,
implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),not(y)))) != implies(not(not(implies(not(not(not(x))),not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y)))))))),implies(implies(not(not(x)),implies(not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y))))),falsehood)),falsehood)),
inference(forward_demodulation,[],[f735,f675]) ).
fof(f735,plain,
implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),not(y)))) != implies(not(not(implies(not(not(not(x))),not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y)))))))),implies(implies(not(not(x)),not(not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y))))))),falsehood)),
inference(forward_demodulation,[],[f541,f675]) ).
fof(f541,plain,
implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(not(not(x))))))),not(y)))) != implies(not(not(implies(not(not(not(x))),not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y)))))))),not(implies(not(not(x)),not(not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y))))))))),
inference(forward_demodulation,[],[f174,f171]) ).
fof(f171,plain,
! [X3] : implies(not(X3),falsehood) = X3,
inference(forward_demodulation,[],[f167,f1]) ).
fof(f167,plain,
! [X3] : implies(truth,X3) = implies(not(X3),falsehood),
inference(superposition,[],[f27,f156]) ).
fof(f174,plain,
implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(implies(not(not(not(x))),falsehood))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(implies(not(not(not(x))),falsehood)))))),not(y)))) != implies(not(not(implies(not(not(not(x))),not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y)))))))),not(implies(not(not(x)),not(not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y))))))))),
inference(forward_demodulation,[],[f173,f1]) ).
fof(f173,plain,
implies(not(not(implies(not(not(implies(not(not(implies(falsehood,not(x)))),not(implies(not(not(not(x))),falsehood))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(falsehood,not(x)))),not(implies(not(not(not(x))),falsehood)))))),not(y)))) != implies(not(not(implies(not(not(not(x))),not(implies(not(not(implies(truth,not(not(y))))),not(implies(falsehood,not(y)))))))),not(implies(not(not(x)),not(not(implies(not(not(implies(truth,not(not(y))))),not(implies(falsehood,not(y))))))))),
inference(forward_demodulation,[],[f159,f16]) ).
fof(f159,plain,
implies(not(not(implies(not(not(implies(not(not(implies(not(truth),not(x)))),not(implies(not(not(not(x))),falsehood))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(not(truth),not(x)))),not(implies(not(not(not(x))),falsehood)))))),not(y)))) != implies(not(not(implies(not(not(not(x))),not(implies(not(not(implies(truth,not(not(y))))),not(implies(not(truth),not(y)))))))),not(implies(not(not(x)),not(not(implies(not(not(implies(truth,not(not(y))))),not(implies(not(truth),not(y))))))))),
inference(backward_demodulation,[],[f35,f156]) ).
fof(f35,plain,
implies(not(not(implies(not(not(implies(not(not(implies(not(not(falsehood)),not(x)))),not(implies(not(not(not(x))),falsehood))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(not(not(falsehood)),not(x)))),not(implies(not(not(not(x))),falsehood)))))),not(y)))) != implies(not(not(implies(not(not(not(x))),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(falsehood)),not(y)))))))),not(implies(not(not(x)),not(not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(falsehood)),not(y))))))))),
inference(superposition,[],[f30,f27]) ).
fof(f30,plain,
implies(not(not(implies(not(not(implies(not(not(implies(not(not(x)),not(falsehood)))),not(implies(not(not(not(x))),falsehood))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(not(not(x)),not(falsehood)))),not(implies(not(not(not(x))),falsehood)))))),not(y)))) != implies(not(not(implies(not(not(not(x))),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(falsehood)),not(y)))))))),not(implies(not(not(x)),not(not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(falsehood)),not(y))))))))),
inference(backward_demodulation,[],[f29,f27]) ).
fof(f29,plain,
implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(falsehood)),not(y))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(falsehood)),not(y)))))))) != implies(not(not(implies(not(not(implies(not(not(implies(not(not(x)),not(falsehood)))),not(implies(not(not(not(x))),falsehood))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(not(not(x)),not(falsehood)))),not(implies(not(not(not(x))),falsehood)))))),not(y)))),
inference(backward_demodulation,[],[f23,f16]) ).
fof(f23,plain,
implies(not(not(implies(not(not(implies(not(not(implies(not(not(x)),not(not(truth))))),not(implies(not(not(not(x))),not(truth)))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(not(not(x)),not(not(truth))))),not(implies(not(not(not(x))),not(truth))))))),not(y)))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(not(truth))),not(y))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(not(truth))),not(y)))))))),
inference(definition_unfolding,[],[f17,f19,f19,f19,f19]) ).
fof(f19,plain,
! [X0,X1] : xor(X0,X1) = implies(not(not(implies(not(not(X0)),not(not(X1))))),not(implies(not(not(not(X0))),not(X1)))),
inference(definition_unfolding,[],[f11,f5,f18,f18]) ).
fof(f18,plain,
! [X0,X1] : and(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f8,f5]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
fof(f11,axiom,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_definition) ).
fof(f17,axiom,
xor(x,xor(truth,y)) != xor(xor(x,truth),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL159-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n015.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 : Tue Aug 30 01:51:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (30905)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.20/0.50 % (30897)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.20/0.50 % (30881)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.50 % (30883)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (30889)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (30885)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (30896)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.52 % (30903)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.20/0.52 % (30886)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.52 % (30912)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (30893)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (30904)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.53 % (30895)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.20/0.53 % (30884)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 % (30882)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.20/0.53 % (30906)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.20/0.53 % (30884)Instruction limit reached!
% 0.20/0.53 % (30884)------------------------------
% 0.20/0.53 % (30884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30884)Termination reason: Unknown
% 0.20/0.53 % (30884)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (30884)Memory used [KB]: 5500
% 0.20/0.53 % (30884)Time elapsed: 0.135 s
% 0.20/0.53 % (30884)Instructions burned: 6 (million)
% 0.20/0.53 % (30884)------------------------------
% 0.20/0.53 % (30884)------------------------------
% 0.20/0.53 % (30888)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (30910)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.20/0.54 % (30894)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.54 % (30909)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.54 % (30908)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.54 % (30898)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (30901)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.55 % (30907)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (30900)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (30892)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55 % (30891)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.55 % (30899)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.20/0.55 % (30890)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55 % (30897)First to succeed.
% 0.20/0.55 % (30882)Instruction limit reached!
% 0.20/0.55 % (30882)------------------------------
% 0.20/0.55 % (30882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (30882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (30882)Termination reason: Unknown
% 0.20/0.55 % (30882)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (30882)Memory used [KB]: 5628
% 0.20/0.55 % (30882)Time elapsed: 0.137 s
% 0.20/0.55 % (30882)Instructions burned: 10 (million)
% 0.20/0.55 % (30882)------------------------------
% 0.20/0.55 % (30882)------------------------------
% 0.20/0.56 % (30902)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.56 % (30888)Instruction limit reached!
% 0.20/0.56 % (30888)------------------------------
% 0.20/0.56 % (30888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (30888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (30888)Termination reason: Unknown
% 0.20/0.56 % (30888)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (30888)Memory used [KB]: 5500
% 0.20/0.56 % (30888)Time elapsed: 0.005 s
% 0.20/0.56 % (30888)Instructions burned: 7 (million)
% 0.20/0.56 % (30888)------------------------------
% 0.20/0.56 % (30888)------------------------------
% 0.20/0.56 % (30889)Instruction limit reached!
% 0.20/0.56 % (30889)------------------------------
% 0.20/0.56 % (30889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (30889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (30889)Termination reason: Unknown
% 0.20/0.56 % (30889)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (30889)Memory used [KB]: 5884
% 0.20/0.56 % (30889)Time elapsed: 0.121 s
% 0.20/0.56 % (30889)Instructions burned: 34 (million)
% 0.20/0.56 % (30889)------------------------------
% 0.20/0.56 % (30889)------------------------------
% 0.20/0.56 % (30897)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (30897)------------------------------
% 0.20/0.56 % (30897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (30897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (30897)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (30897)Memory used [KB]: 6012
% 0.20/0.56 % (30897)Time elapsed: 0.102 s
% 0.20/0.56 % (30897)Instructions burned: 41 (million)
% 0.20/0.56 % (30897)------------------------------
% 0.20/0.56 % (30897)------------------------------
% 0.20/0.56 % (30879)Success in time 0.205 s
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