TSTP Solution File: LCL159-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n002.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 17:47:04 EDT 2022
% Result : Unsatisfiable 0.10s 0.50s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 14
% Syntax : Number of formulae : 88 ( 88 unt; 0 def)
% Number of atoms : 88 ( 87 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 43 ( 43 ~; 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 : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f408,plain,
$false,
inference(subsumption_resolution,[],[f407,f26]) ).
fof(f26,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(f407,plain,
implies(not(not(not(not(implies(not(not(not(x))),not(not(y))))))),not(not(not(not(not(implies(not(not(x)),not(y)))))))) != implies(not(not(not(not(not(not(implies(not(not(x)),not(y)))))))),not(not(not(implies(not(not(not(x))),not(not(y))))))),
inference(forward_demodulation,[],[f406,f27]) ).
fof(f27,plain,
! [X0,X1] : not(implies(not(not(X1)),not(X0))) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f10,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(f10,axiom,
! [X0,X1] : and(X0,X1) = and(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_commutativity) ).
fof(f406,plain,
implies(not(not(not(not(not(not(implies(not(not(x)),not(y)))))))),not(not(not(implies(not(not(not(x))),not(not(y))))))) != implies(not(not(not(not(implies(not(not(not(y))),not(not(x))))))),not(not(not(not(not(implies(not(not(x)),not(y)))))))),
inference(forward_demodulation,[],[f405,f396]) ).
fof(f396,plain,
! [X0,X1] : not(not(not(implies(not(not(X0)),not(X1))))) = not(implies(not(not(X0)),not(not(not(X1))))),
inference(forward_demodulation,[],[f395,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f395,plain,
! [X0,X1] : not(implies(not(not(X0)),not(not(implies(truth,not(X1)))))) = not(not(not(implies(not(not(X0)),not(X1))))),
inference(forward_demodulation,[],[f394,f234]) ).
fof(f234,plain,
truth = not(falsehood),
inference(superposition,[],[f1,f222]) ).
fof(f222,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f132,f153]) ).
fof(f153,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f132,f40]) ).
fof(f40,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
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(f132,plain,
! [X1] : truth = implies(implies(not(falsehood),X1),X1),
inference(superposition,[],[f81,f26]) ).
fof(f81,plain,
! [X1] : truth = implies(implies(not(X1),falsehood),X1),
inference(forward_demodulation,[],[f72,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).
fof(f72,plain,
! [X1] : truth = implies(implies(not(X1),not(truth)),X1),
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(f394,plain,
! [X0,X1] : not(implies(not(not(X0)),not(not(implies(not(falsehood),not(X1)))))) = not(not(not(implies(not(not(X0)),not(X1))))),
inference(forward_demodulation,[],[f393,f26]) ).
fof(f393,plain,
! [X0,X1] : not(implies(not(not(X0)),not(not(implies(not(not(X1)),falsehood))))) = not(not(not(implies(not(not(X0)),not(X1))))),
inference(forward_demodulation,[],[f392,f1]) ).
fof(f392,plain,
! [X0,X1] : not(implies(not(not(X0)),not(not(implies(not(not(X1)),falsehood))))) = not(implies(truth,not(not(implies(not(not(X0)),not(X1)))))),
inference(forward_demodulation,[],[f391,f234]) ).
fof(f391,plain,
! [X0,X1] : not(implies(not(not(X0)),not(not(implies(not(not(X1)),falsehood))))) = not(implies(not(falsehood),not(not(implies(not(not(X0)),not(X1)))))),
inference(forward_demodulation,[],[f367,f26]) ).
fof(f367,plain,
! [X0,X1] : not(implies(not(not(X0)),not(not(implies(not(not(X1)),falsehood))))) = not(implies(not(not(not(implies(not(not(X0)),not(X1))))),falsehood)),
inference(superposition,[],[f22,f16]) ).
fof(f22,plain,
! [X2,X0,X1] : not(implies(not(not(X0)),not(not(implies(not(not(X1)),not(X2)))))) = not(implies(not(not(not(implies(not(not(X0)),not(X1))))),not(X2))),
inference(definition_unfolding,[],[f14,f20,f20,f20,f20]) ).
fof(f20,plain,
! [X0,X1] : and_star(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f13,f5]) ).
fof(f13,axiom,
! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_definition) ).
fof(f14,axiom,
! [X2,X0,X1] : and_star(and_star(X0,X1),X2) = and_star(X0,and_star(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_associativity) ).
fof(f405,plain,
implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(not(not(not(not(implies(not(not(x)),not(y)))))))) != implies(not(not(not(not(not(not(implies(not(not(x)),not(y)))))))),not(not(not(implies(not(not(not(x))),not(not(y))))))),
inference(forward_demodulation,[],[f404,f27]) ).
fof(f404,plain,
implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(not(not(not(not(implies(not(not(y)),not(x)))))))) != implies(not(not(not(not(not(not(implies(not(not(x)),not(y)))))))),not(not(not(implies(not(not(not(x))),not(not(y))))))),
inference(forward_demodulation,[],[f403,f396]) ).
fof(f403,plain,
implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(not(not(implies(not(not(y)),not(not(not(x)))))))) != implies(not(not(not(not(not(not(implies(not(not(x)),not(y)))))))),not(not(not(implies(not(not(not(x))),not(not(y))))))),
inference(forward_demodulation,[],[f402,f27]) ).
fof(f402,plain,
implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(not(not(implies(not(not(not(not(x)))),not(y)))))) != implies(not(not(not(not(not(not(implies(not(not(x)),not(y)))))))),not(not(not(implies(not(not(not(x))),not(not(y))))))),
inference(forward_demodulation,[],[f401,f396]) ).
fof(f401,plain,
implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(not(not(implies(not(not(not(not(x)))),not(y)))))) != implies(not(not(not(not(implies(not(not(x)),not(not(not(y)))))))),not(not(not(implies(not(not(not(x))),not(not(y))))))),
inference(forward_demodulation,[],[f400,f26]) ).
fof(f400,plain,
implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(not(not(implies(not(not(not(not(x)))),not(y)))))) != implies(not(not(not(not(implies(not(not(not(x))),not(not(y))))))),not(not(not(implies(not(not(x)),not(not(not(y)))))))),
inference(forward_demodulation,[],[f399,f396]) ).
fof(f399,plain,
implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(not(not(implies(not(not(not(not(x)))),not(y)))))) != implies(not(not(not(not(implies(not(not(not(x))),not(not(y))))))),not(implies(not(not(x)),not(not(not(not(not(y)))))))),
inference(forward_demodulation,[],[f398,f26]) ).
fof(f398,plain,
implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(not(not(implies(not(not(not(not(x)))),not(y)))))) != implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(not(not(implies(not(not(not(x))),not(not(y))))))),
inference(forward_demodulation,[],[f397,f396]) ).
fof(f397,plain,
implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(not(not(implies(not(not(not(not(x)))),not(y)))))) != implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))),
inference(backward_demodulation,[],[f342,f396]) ).
fof(f342,plain,
implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))) != implies(not(not(implies(not(not(not(y))),not(not(not(not(x))))))),not(implies(not(not(not(not(x)))),not(not(not(y)))))),
inference(forward_demodulation,[],[f341,f1]) ).
fof(f341,plain,
implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))) != implies(not(not(implies(not(not(not(y))),not(implies(truth,not(not(not(x)))))))),not(implies(not(not(not(not(x)))),not(not(not(y)))))),
inference(forward_demodulation,[],[f340,f234]) ).
fof(f340,plain,
implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))) != implies(not(not(implies(not(not(not(y))),not(implies(not(falsehood),not(not(not(x)))))))),not(implies(not(not(not(not(x)))),not(not(not(y)))))),
inference(forward_demodulation,[],[f339,f26]) ).
fof(f339,plain,
implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))) != implies(not(not(implies(not(not(not(y))),not(implies(not(not(not(not(x)))),falsehood))))),not(implies(not(not(not(not(x)))),not(not(not(y)))))),
inference(forward_demodulation,[],[f338,f1]) ).
fof(f338,plain,
implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))) != implies(not(not(implies(not(not(not(y))),not(implies(not(not(not(not(x)))),falsehood))))),not(implies(not(not(not(not(x)))),not(not(implies(truth,not(y))))))),
inference(forward_demodulation,[],[f337,f27]) ).
fof(f337,plain,
implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))) != implies(not(not(implies(not(not(not(y))),not(implies(not(not(not(not(x)))),falsehood))))),not(implies(not(not(not(implies(truth,not(y))))),not(not(not(x)))))),
inference(forward_demodulation,[],[f336,f1]) ).
fof(f336,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),falsehood))))),not(implies(not(not(not(implies(truth,not(y))))),not(implies(truth,not(not(x))))))) != implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))),
inference(forward_demodulation,[],[f335,f27]) ).
fof(f335,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),falsehood))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(truth,not(y))))))) != implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))),
inference(forward_demodulation,[],[f334,f234]) ).
fof(f334,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),falsehood))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(falsehood),not(y))))))) != implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))),
inference(forward_demodulation,[],[f333,f16]) ).
fof(f333,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(truth)))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(truth)),not(y))))))) != implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))),
inference(forward_demodulation,[],[f332,f27]) ).
fof(f332,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(truth)))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(truth))))))) != implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))),
inference(forward_demodulation,[],[f331,f302]) ).
fof(f302,plain,
! [X0] : truth = implies(falsehood,X0),
inference(backward_demodulation,[],[f39,f289]) ).
fof(f289,plain,
! [X0] : truth = implies(X0,truth),
inference(forward_demodulation,[],[f288,f1]) ).
fof(f288,plain,
! [X0] : truth = implies(implies(truth,X0),truth),
inference(forward_demodulation,[],[f263,f267]) ).
fof(f267,plain,
! [X0] : truth = implies(X0,X0),
inference(backward_demodulation,[],[f40,f243]) ).
fof(f243,plain,
! [X2] : truth = implies(implies(X2,truth),truth),
inference(backward_demodulation,[],[f152,f234]) ).
fof(f152,plain,
! [X2] : truth = implies(implies(X2,not(falsehood)),not(falsehood)),
inference(superposition,[],[f132,f3]) ).
fof(f263,plain,
! [X0] : truth = implies(implies(implies(falsehood,falsehood),X0),truth),
inference(backward_demodulation,[],[f140,f243]) ).
fof(f140,plain,
! [X0] : truth = implies(implies(implies(falsehood,falsehood),X0),implies(implies(X0,truth),truth)),
inference(superposition,[],[f2,f130]) ).
fof(f130,plain,
truth = implies(implies(falsehood,falsehood),truth),
inference(superposition,[],[f81,f16]) ).
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(f39,plain,
! [X0] : implies(not(X0),truth) = implies(falsehood,X0),
inference(superposition,[],[f26,f16]) ).
fof(f331,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(falsehood,not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(not(not(not(y)))))))),not(implies(not(not(not(x))),not(not(not(not(y))))))),
inference(forward_demodulation,[],[f330,f1]) ).
fof(f330,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(falsehood,not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(truth,not(not(not(y))))))))),not(implies(not(not(not(x))),not(implies(truth,not(not(not(y)))))))),
inference(forward_demodulation,[],[f329,f234]) ).
fof(f329,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(falsehood,not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(falsehood),not(not(not(y))))))))),not(implies(not(not(not(x))),not(implies(not(falsehood),not(not(not(y)))))))),
inference(forward_demodulation,[],[f328,f16]) ).
fof(f328,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(falsehood,not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(truth)),not(not(not(y))))))))),not(implies(not(not(not(x))),not(implies(not(not(truth)),not(not(not(y)))))))),
inference(forward_demodulation,[],[f327,f27]) ).
fof(f327,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(falsehood,not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(not(not(y)))),not(truth))))))),not(implies(not(not(not(x))),not(implies(not(not(not(not(y)))),not(truth)))))),
inference(forward_demodulation,[],[f326,f302]) ).
fof(f326,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(falsehood,not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y))))))))),not(implies(not(not(not(x))),not(implies(not(not(not(not(y)))),not(implies(falsehood,not(y)))))))),
inference(forward_demodulation,[],[f325,f27]) ).
fof(f325,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(falsehood,not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(falsehood,not(y)))),not(not(not(y))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(falsehood,not(y)))),not(not(not(y)))))))),
inference(forward_demodulation,[],[f324,f1]) ).
fof(f324,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(falsehood,not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(falsehood,not(y)))),not(implies(truth,not(not(y)))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(falsehood,not(y)))),not(implies(truth,not(not(y))))))))),
inference(forward_demodulation,[],[f323,f27]) ).
fof(f323,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(falsehood,not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(falsehood,not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(truth,not(not(y))))),not(implies(falsehood,not(y))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(truth,not(not(y))))),not(implies(falsehood,not(y)))))))),
inference(forward_demodulation,[],[f241,f16]) ).
fof(f241,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(truth,not(not(x))))),not(implies(not(truth),not(x)))))))),not(implies(not(not(implies(truth,not(not(x))))),not(not(implies(not(not(y)),not(implies(not(truth),not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(truth,not(not(y))))),not(implies(not(truth),not(y))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(truth,not(not(y))))),not(implies(not(truth),not(y)))))))),
inference(backward_demodulation,[],[f37,f234]) ).
fof(f37,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))))),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(not(implies(not(not(y)),not(implies(not(not(falsehood)),not(x))))))))) != 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)))))))),
inference(forward_demodulation,[],[f36,f27]) ).
fof(f36,plain,
implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))) != implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))))),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(not(implies(not(not(y)),not(implies(not(not(falsehood)),not(x))))))))),
inference(forward_demodulation,[],[f35,f27]) ).
fof(f35,plain,
implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))) != implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(not(implies(not(not(y)),not(implies(not(not(x)),not(falsehood))))))))),
inference(backward_demodulation,[],[f34,f16]) ).
fof(f34,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(x)),not(not(truth))))))))),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(not(implies(not(not(y)),not(implies(not(not(x)),not(not(truth)))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(y)),not(not(truth)))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(y)),not(not(truth))))))))),
inference(forward_demodulation,[],[f33,f27]) ).
fof(f33,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))))),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(not(implies(not(not(y)),not(implies(not(not(not(truth))),not(x))))))))) != implies(not(not(implies(not(not(x)),not(not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(y)),not(not(truth)))))))))),not(implies(not(not(not(x))),not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(y)),not(not(truth))))))))),
inference(forward_demodulation,[],[f32,f27]) ).
fof(f32,plain,
implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))))),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(not(implies(not(not(y)),not(implies(not(not(not(truth))),not(x))))))))) != 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(forward_demodulation,[],[f31,f27]) ).
fof(f31,plain,
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)))))))) != implies(not(not(implies(not(not(not(y))),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))))),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(not(implies(not(not(implies(not(not(not(truth))),not(x)))),not(y))))))),
inference(backward_demodulation,[],[f30,f27]) ).
fof(f30,plain,
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)))))))) != implies(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(not(y))))),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(not(implies(not(not(implies(not(not(not(truth))),not(x)))),not(y))))))),
inference(backward_demodulation,[],[f29,f22]) ).
fof(f29,plain,
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)))))))) != implies(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(not(y))))),not(implies(not(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x))))))),not(y)))),
inference(forward_demodulation,[],[f21,f24]) ).
fof(f24,plain,
! [X0,X1] : implies(not(not(implies(not(not(X1)),not(not(X0))))),not(implies(not(not(not(X1))),not(X0)))) = implies(not(not(implies(not(not(X0)),not(not(X1))))),not(implies(not(not(not(X0))),not(X1)))),
inference(definition_unfolding,[],[f12,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(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(f12,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).
fof(f21,plain,
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)))))))) != 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)))),
inference(definition_unfolding,[],[f17,f19,f19,f19,f19]) ).
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
% 0.06/0.06 % Problem : LCL159-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.25 % Computer : n002.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Aug 30 01:51:28 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.39 % (363)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.10/0.40 % (371)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.40 % (358)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.10/0.41 % (382)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.10/0.41 % (374)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.41 % (365)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.41 % (365)Instruction limit reached!
% 0.10/0.41 % (365)------------------------------
% 0.10/0.41 % (365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.41 % (365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.41 % (365)Termination reason: Unknown
% 0.10/0.41 % (365)Termination phase: Saturation
% 0.10/0.41
% 0.10/0.41 % (365)Memory used [KB]: 5500
% 0.10/0.41 % (365)Time elapsed: 0.104 s
% 0.10/0.41 % (365)Instructions burned: 9 (million)
% 0.10/0.41 % (365)------------------------------
% 0.10/0.41 % (365)------------------------------
% 0.10/0.41 % (367)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.41 % (383)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.10/0.41 % (373)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.10/0.42 % (387)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.10/0.42 % (361)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.42 % (381)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.10/0.42 % (386)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.10/0.42 % (379)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.10/0.42 % (385)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.10/0.43 TRYING [1]
% 0.10/0.43 % (375)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.10/0.43 % (359)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.43 % (362)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.43 TRYING [2]
% 0.10/0.43 % (369)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.43 % (376)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.43 % (364)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.43 % (360)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.10/0.43 % (370)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.10/0.44 % (372)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.10/0.44 % (384)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.10/0.44 % (366)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.44 % (366)Instruction limit reached!
% 0.10/0.44 % (366)------------------------------
% 0.10/0.44 % (366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.44 % (366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.44 % (366)Termination reason: Unknown
% 0.10/0.44 % (366)Termination phase: Saturation
% 0.10/0.44
% 0.10/0.44 % (366)Memory used [KB]: 5373
% 0.10/0.44 % (366)Time elapsed: 0.131 s
% 0.10/0.44 % (366)Instructions burned: 2 (million)
% 0.10/0.44 % (366)------------------------------
% 0.10/0.44 % (366)------------------------------
% 0.10/0.44 % (380)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.10/0.45 TRYING [3]
% 0.10/0.45 % (368)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.45 % (377)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.45 TRYING [1]
% 0.10/0.45 % (378)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.10/0.45 TRYING [2]
% 0.10/0.45 % (363)Instruction limit reached!
% 0.10/0.45 % (363)------------------------------
% 0.10/0.45 % (363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46 TRYING [1]
% 0.10/0.46 TRYING [2]
% 0.10/0.46 TRYING [3]
% 0.10/0.47 % (363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47 % (363)Termination reason: Unknown
% 0.10/0.47 % (363)Termination phase: Saturation
% 0.10/0.47
% 0.10/0.47 % (363)Memory used [KB]: 6268
% 0.10/0.47 % (363)Time elapsed: 0.143 s
% 0.10/0.47 % (363)Instructions burned: 49 (million)
% 0.10/0.47 % (363)------------------------------
% 0.10/0.47 % (363)------------------------------
% 0.10/0.48 TRYING [3]
% 0.10/0.48 % (359)Instruction limit reached!
% 0.10/0.48 % (359)------------------------------
% 0.10/0.48 % (359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49 % (364)Instruction limit reached!
% 0.10/0.49 % (364)------------------------------
% 0.10/0.49 % (364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49 % (364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49 % (364)Termination reason: Unknown
% 0.10/0.49 % (364)Termination phase: Finite model building SAT solving
% 0.10/0.49
% 0.10/0.49 % (364)Memory used [KB]: 8187
% 0.10/0.49 % (364)Time elapsed: 0.163 s
% 0.10/0.49 % (364)Instructions burned: 52 (million)
% 0.10/0.49 % (364)------------------------------
% 0.10/0.49 % (364)------------------------------
% 0.10/0.49 % (360)Instruction limit reached!
% 0.10/0.49 % (360)------------------------------
% 0.10/0.49 % (360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49 % (360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49 % (360)Termination reason: Unknown
% 0.10/0.49 % (360)Termination phase: Saturation
% 0.10/0.49
% 0.10/0.49 % (360)Memory used [KB]: 1663
% 0.10/0.49 % (360)Time elapsed: 0.180 s
% 0.10/0.49 % (360)Instructions burned: 38 (million)
% 0.10/0.49 % (360)------------------------------
% 0.10/0.49 % (360)------------------------------
% 0.10/0.49 % (379)First to succeed.
% 0.10/0.50 % (379)Refutation found. Thanks to Tanya!
% 0.10/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.50 % (379)------------------------------
% 0.10/0.50 % (379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50 % (379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50 % (379)Termination reason: Refutation
% 0.10/0.50
% 0.10/0.50 % (379)Memory used [KB]: 6012
% 0.10/0.50 % (379)Time elapsed: 0.150 s
% 0.10/0.50 % (379)Instructions burned: 31 (million)
% 0.10/0.50 % (379)------------------------------
% 0.10/0.50 % (379)------------------------------
% 0.10/0.50 % (357)Success in time 0.234 s
%------------------------------------------------------------------------------