%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL160-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:22 AM UTC 2026
% Result : Unsatisfiable 11.86s 2.80s
% Output : Refutation 13.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 15
% Syntax : Number of formulae : 128 ( 128 unt; 0 def)
% Number of atoms : 128 ( 127 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 82 ( 82 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 21 ( 5 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 : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f6,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_definition) ).
fof(f8,axiom,
! [X2,X0,X1] : or(or(X0,X1),X2) = or(X0,or(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_associativity) ).
fof(f9,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_commutativity) ).
fof(f10,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
fof(f11,axiom,
! [X2,X0,X1] : and(and(X0,X1),X2) = and(X0,and(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_associativity) ).
fof(f12,axiom,
! [X0,X1] : and(X0,X1) = and(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_commutativity) ).
fof(f13,axiom,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_definition) ).
fof(f14,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity) ).
fof(f15,axiom,
! [X0,X1] : and_star(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_definition) ).
fof(f16,plain,
! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
inference(reorient_equations,[],[f15]) ).
fof(f19,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
fof(f20,negated_conjecture,
and_star(xor(and_star(xor(truth,x),y),truth),y) != and_star(xor(and_star(xor(truth,y),x),truth),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
fof(f21,plain,
! [X0,X1] : and(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f10,f7]) ).
fof(f22,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,[],[f13,f7,f21,f21]) ).
fof(f23,plain,
! [X0,X1] : and_star(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f16,f7]) ).
fof(f24,plain,
not(implies(not(not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y))))),not(not(truth))))),not(implies(not(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y)))))),not(truth)))))),not(y))) != not(implies(not(not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(not(truth))),not(y)))))),not(x))))),not(not(truth))))),not(implies(not(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(not(truth))),not(y)))))),not(x)))))),not(truth)))))),not(x))),
inference(definition_unfolding,[],[f20,f23,f22,f23,f22,f23,f22,f23,f22]) ).
fof(f25,plain,
! [X0,X1] : implies(not(not(implies(not(not(X0)),not(not(X1))))),not(implies(not(not(not(X0))),not(X1)))) = implies(not(not(implies(not(not(X1)),not(not(X0))))),not(implies(not(not(not(X1))),not(X0)))),
inference(definition_unfolding,[],[f14,f22,f22]) ).
fof(f28,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(definition_unfolding,[],[f9,f7,f7]) ).
fof(f29,plain,
! [X2,X0,X1] : implies(not(implies(not(X0),X1)),X2) = implies(not(X0),implies(not(X1),X2)),
inference(definition_unfolding,[],[f8,f7,f7,f7,f7]) ).
fof(f30,plain,
! [X0,X1] : not(implies(not(not(X0)),not(X1))) = not(implies(not(not(X1)),not(X0))),
inference(definition_unfolding,[],[f12,f21,f21]) ).
fof(f31,plain,
! [X2,X0,X1] : not(implies(not(not(not(implies(not(not(X0)),not(X1))))),not(X2))) = not(implies(not(not(X0)),not(not(implies(not(not(X1)),not(X2)))))),
inference(definition_unfolding,[],[f11,f21,f21,f21,f21]) ).
fof(f32,plain,
not(implies(not(not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y))))),not(not(truth))))),not(implies(not(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y)))))),not(truth)))))),not(y))) != not(implies(not(not(x)),not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(not(truth))),not(y)))))),not(x))))),not(not(truth))))),not(implies(not(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(not(truth))),not(y)))))),not(x)))))),not(truth))))))),
inference(forward_demodulation,[],[f24,f30]) ).
fof(f33,plain,
not(implies(not(not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y))))),not(not(truth))))),not(implies(not(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y)))))),not(truth)))))),not(y))) != not(implies(not(not(x)),not(implies(not(not(implies(not(not(truth)),not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(not(truth))),not(y)))))),not(x)))))))),not(implies(not(not(not(truth))),not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(not(truth))),not(y)))))),not(x)))))))))),
inference(forward_demodulation,[],[f32,f25]) ).
fof(f34,plain,
not(implies(not(not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y))))),not(not(truth))))),not(implies(not(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y)))))),not(truth)))))),not(y))) != not(implies(not(not(x)),not(implies(not(not(implies(not(not(truth)),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(not(truth))),not(y)))))))))))),not(implies(not(not(not(truth))),not(not(implies(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,[],[f33,f30]) ).
fof(f35,plain,
not(implies(not(not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y))))),not(not(truth))))),not(implies(not(not(not(not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(y)))))),not(truth)))))),not(y))) != not(implies(not(not(x)),not(implies(not(not(implies(not(not(truth)),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(not(truth)),not(not(y))))),not(implies(not(not(y)),not(not(truth))))))))))))),not(implies(not(not(not(truth))),not(not(implies(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,[],[f34,f30]) ).
fof(f36,plain,
not(implies(not(not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y))))),not(falsehood)))),not(implies(not(not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y)))))),falsehood))))),not(y))) != not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))),
inference(forward_demodulation,[],[f35,f19]) ).
fof(f37,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(not(not(y)),not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y))))),not(falsehood)))),not(implies(not(not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y)))))),falsehood)))))),
inference(forward_demodulation,[],[f36,f30]) ).
fof(f38,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(not(not(y)),not(implies(not(not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y))))),not(falsehood)))),not(implies(not(falsehood),not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y))))))))))),
inference(forward_demodulation,[],[f37,f28]) ).
fof(f39,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y)))))))),not(implies(not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y))))),not(falsehood))))))),
inference(forward_demodulation,[],[f38,f30]) ).
fof(f40,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y)))))))),not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(not(implies(not(not(y)),not(falsehood)))))))))),
inference(forward_demodulation,[],[f39,f31]) ).
fof(f41,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y)))))))),not(implies(not(not(not(implies(not(not(y)),not(falsehood))))),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x))))))))))),
inference(forward_demodulation,[],[f40,f30]) ).
fof(f42,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))),not(y)))))))),not(implies(not(not(y)),not(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(falsehood)),not(x)))))))))))))),
inference(forward_demodulation,[],[f41,f31]) ).
fof(f43,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))),not(y)))))))),not(implies(not(not(y)),not(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))))))))),
inference(forward_demodulation,[],[f42,f30]) ).
fof(f44,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))))))),not(implies(not(not(y)),not(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))))))))),
inference(forward_demodulation,[],[f43,f30]) ).
fof(f53,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
inference(superposition,[],[f3,f1]) ).
fof(f54,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f63,plain,
! [X0,X1] : truth = implies(implies(not(not(X0)),X1),implies(X0,X1)),
inference(superposition,[],[f6,f28]) ).
fof(f88,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f1,f54]) ).
fof(f90,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f143,plain,
! [X0] : truth = implies(truth,implies(X0,not(not(X0)))),
inference(superposition,[],[f63,f90]) ).
fof(f169,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(forward_demodulation,[],[f143,f1]) ).
fof(f177,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[],[f4,f169]) ).
fof(f190,plain,
! [X0] : not(not(X0)) = implies(implies(not(not(X0)),X0),X0),
inference(forward_demodulation,[],[f177,f1]) ).
fof(f197,plain,
! [X0] : not(not(X0)) = implies(implies(not(X0),not(X0)),X0),
inference(forward_demodulation,[],[f190,f28]) ).
fof(f199,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f197,f90]) ).
fof(f201,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f199,f1]) ).
fof(f216,plain,
! [X0,X1] : implies(X0,X1) = implies(not(X1),not(X0)),
inference(superposition,[],[f28,f201]) ).
fof(f406,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(superposition,[],[f216,f201]) ).
fof(f431,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),not(X1)) = implies(implies(X0,X1),not(X0)),
inference(superposition,[],[f4,f216]) ).
fof(f437,plain,
! [X0,X1] : implies(implies(X0,X1),not(X0)) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[],[f431,f216]) ).
fof(f451,plain,
! [X0,X1] : implies(implies(X0,X1),not(X0)) = implies(X1,not(implies(X1,X0))),
inference(forward_demodulation,[],[f437,f406]) ).
fof(f462,plain,
! [X0,X1] : implies(X1,not(implies(X1,X0))) = implies(X0,not(implies(X0,X1))),
inference(forward_demodulation,[],[f451,f406]) ).
fof(f1084,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(superposition,[],[f1,f406]) ).
fof(f1089,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(not(not(y)),not(implies(implies(not(not(y)),not(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))))),not(not(not(implies(not(falsehood),not(not(not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))))))))))))),
inference(superposition,[],[f44,f406]) ).
fof(f1103,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(implies(implies(not(not(y)),not(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))))),not(not(not(implies(not(falsehood),not(not(not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))))))))),not(y))),
inference(forward_demodulation,[],[f1089,f216]) ).
fof(f1105,plain,
! [X0] : not(X0) = implies(X0,falsehood),
inference(forward_demodulation,[],[f1084,f19]) ).
fof(f1133,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(not(y)),not(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))))),not(not(not(implies(not(falsehood),not(not(not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))))))))))))),
inference(forward_demodulation,[],[f1103,f406]) ).
fof(f1141,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(not(y)),not(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))))),not(implies(not(falsehood),not(not(not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))))))))))),
inference(forward_demodulation,[],[f1133,f201]) ).
fof(f1149,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(not(not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))))),not(implies(not(not(y)),not(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))))))))),
inference(forward_demodulation,[],[f1141,f406]) ).
fof(f1157,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(not(not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))))),not(implies(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))),not(y))))))),
inference(forward_demodulation,[],[f1149,f216]) ).
fof(f1165,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))),not(y)),not(implies(not(falsehood),not(not(not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))))))))))),
inference(forward_demodulation,[],[f1157,f406]) ).
fof(f1173,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))),not(y)),not(implies(not(not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))),falsehood)))))),
inference(forward_demodulation,[],[f1165,f216]) ).
fof(f1181,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))),not(y)),not(implies(not(falsehood),not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))))))))),
inference(forward_demodulation,[],[f1173,f28]) ).
fof(f1189,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))),not(implies(not(implies(not(not(falsehood)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood))))))),not(y))))))),
inference(forward_demodulation,[],[f1181,f406]) ).
fof(f1197,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))),not(implies(not(not(falsehood)),implies(not(not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))),not(y)))))))),
inference(forward_demodulation,[],[f1189,f29]) ).
fof(f1205,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))),not(implies(not(not(falsehood)),implies(not(not(y)),not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))))))),
inference(forward_demodulation,[],[f1197,f28]) ).
fof(f1213,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))),not(y)))),not(implies(not(not(falsehood)),implies(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))),not(y)))))))),
inference(forward_demodulation,[],[f1205,f216]) ).
fof(f1221,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))),not(implies(not(not(falsehood)),implies(y,not(implies(not(not(implies(not(falsehood),not(not(x))))),not(implies(not(not(x)),not(falsehood)))))))))))),
inference(forward_demodulation,[],[f1213,f406]) ).
fof(f1229,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(implies(not(not(x)),not(falsehood)),not(implies(not(falsehood),not(not(x))))))))),not(implies(not(not(falsehood)),implies(y,not(implies(implies(not(not(x)),not(falsehood)),not(implies(not(falsehood),not(not(x))))))))))))),
inference(forward_demodulation,[],[f1221,f216]) ).
fof(f1237,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(implies(not(falsehood),not(not(x))),not(implies(not(not(x)),not(falsehood)))))))),not(implies(not(not(falsehood)),implies(y,not(implies(implies(not(falsehood),not(not(x))),not(implies(not(not(x)),not(falsehood)))))))))))),
inference(forward_demodulation,[],[f1229,f406]) ).
fof(f1245,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(implies(not(falsehood),not(not(x))),not(implies(falsehood,not(x)))))))),not(implies(not(not(falsehood)),implies(y,not(implies(implies(not(falsehood),not(not(x))),not(implies(falsehood,not(x)))))))))))),
inference(forward_demodulation,[],[f1237,f216]) ).
fof(f1253,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(implies(falsehood,not(x)),not(implies(not(falsehood),not(not(x))))))))),not(implies(not(not(falsehood)),implies(y,not(implies(implies(falsehood,not(x)),not(implies(not(falsehood),not(not(x))))))))))))),
inference(forward_demodulation,[],[f1245,f406]) ).
fof(f1261,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(implies(falsehood,not(x)),not(implies(not(x),falsehood))))))),not(implies(not(not(falsehood)),implies(y,not(implies(implies(falsehood,not(x)),not(implies(not(x),falsehood))))))))))),
inference(forward_demodulation,[],[f1253,f216]) ).
fof(f1269,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(implies(falsehood,not(x)),not(not(not(x)))))))),not(implies(not(not(falsehood)),implies(y,not(implies(implies(falsehood,not(x)),not(not(not(x)))))))))))),
inference(forward_demodulation,[],[f1261,f1105]) ).
fof(f1277,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(not(not(x)),not(implies(falsehood,not(x)))))))),not(implies(not(not(falsehood)),implies(y,not(implies(not(not(x)),not(implies(falsehood,not(x)))))))))))),
inference(forward_demodulation,[],[f1269,f406]) ).
fof(f1285,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(implies(falsehood,not(x)),not(x)))))),not(implies(not(not(falsehood)),implies(y,not(implies(implies(falsehood,not(x)),not(x)))))))))),
inference(forward_demodulation,[],[f1277,f216]) ).
fof(f1293,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(implies(implies(not(x),falsehood),falsehood))))),not(implies(not(not(falsehood)),implies(y,not(implies(implies(not(x),falsehood),falsehood))))))))),
inference(forward_demodulation,[],[f1285,f4]) ).
fof(f1301,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(not(implies(not(x),falsehood)))))),not(implies(not(not(falsehood)),implies(y,not(not(implies(not(x),falsehood)))))))))),
inference(forward_demodulation,[],[f1293,f1105]) ).
fof(f1309,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,implies(not(x),falsehood)))),not(implies(not(not(falsehood)),implies(y,implies(not(x),falsehood)))))))),
inference(forward_demodulation,[],[f1301,f201]) ).
fof(f1317,plain,
not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(not(not(x)),not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,not(not(x))))),not(implies(not(not(falsehood)),implies(y,not(not(x))))))))),
inference(forward_demodulation,[],[f1309,f1105]) ).
fof(f1325,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(not(not(falsehood)),not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,x))),not(implies(not(not(falsehood)),implies(y,x))))))),
inference(forward_demodulation,[],[f1317,f201]) ).
fof(f1333,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(not(falsehood),not(implies(y,x))),not(implies(falsehood,implies(y,x))))))),
inference(forward_demodulation,[],[f1325,f201]) ).
fof(f1341,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(falsehood,implies(y,x)),not(implies(not(falsehood),not(implies(y,x)))))))),
inference(forward_demodulation,[],[f1333,f406]) ).
fof(f1349,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(falsehood,implies(y,x)),not(implies(implies(y,x),falsehood)))))),
inference(forward_demodulation,[],[f1341,f216]) ).
fof(f1357,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(falsehood,implies(y,x)),not(not(implies(y,x))))))),
inference(forward_demodulation,[],[f1349,f1105]) ).
fof(f1365,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(not(implies(y,x)),not(implies(falsehood,implies(y,x))))))),
inference(forward_demodulation,[],[f1357,f406]) ).
fof(f1373,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(falsehood,implies(y,x)),implies(y,x))))),
inference(forward_demodulation,[],[f1365,f216]) ).
fof(f1381,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(implies(implies(y,x),falsehood),falsehood)))),
inference(forward_demodulation,[],[f1373,f4]) ).
fof(f1389,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(not(implies(implies(y,x),falsehood))))),
inference(forward_demodulation,[],[f1381,f1105]) ).
fof(f1397,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,implies(implies(y,x),falsehood))),
inference(forward_demodulation,[],[f1389,f201]) ).
fof(f1405,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(y,not(implies(y,x)))),
inference(forward_demodulation,[],[f1397,f1105]) ).
fof(f1413,plain,
not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))) != not(implies(x,not(implies(x,y)))),
inference(forward_demodulation,[],[f1405,f462]) ).
fof(f1421,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(not(not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))))),not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))))))))),
inference(forward_demodulation,[],[f1413,f30]) ).
fof(f1429,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))),
inference(forward_demodulation,[],[f1421,f216]) ).
fof(f1437,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))),not(implies(not(falsehood),not(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))))))))),
inference(forward_demodulation,[],[f1429,f406]) ).
fof(f1445,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))),not(implies(not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))),falsehood)))))),
inference(forward_demodulation,[],[f1437,f216]) ).
fof(f1453,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))),not(implies(not(falsehood),not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))))))),
inference(forward_demodulation,[],[f1445,f28]) ).
fof(f1461,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))),not(implies(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))),falsehood)))))),
inference(forward_demodulation,[],[f1453,f216]) ).
fof(f1469,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))),falsehood),not(implies(falsehood,not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))))),
inference(forward_demodulation,[],[f1461,f406]) ).
fof(f1477,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))),falsehood),not(implies(falsehood,implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),
inference(forward_demodulation,[],[f1469,f201]) ).
fof(f1485,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(falsehood,implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))),not(implies(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))),falsehood)))))),
inference(forward_demodulation,[],[f1477,f406]) ).
fof(f1493,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(falsehood,implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))),not(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),
inference(forward_demodulation,[],[f1485,f1105]) ).
fof(f1501,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))),not(implies(falsehood,implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))))),
inference(forward_demodulation,[],[f1493,f406]) ).
fof(f1509,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(falsehood,implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))),implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))))))),
inference(forward_demodulation,[],[f1501,f216]) ).
fof(f1517,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(implies(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))),falsehood),falsehood)))),
inference(forward_demodulation,[],[f1509,f4]) ).
fof(f1525,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(not(implies(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))),falsehood))))),
inference(forward_demodulation,[],[f1517,f1105]) ).
fof(f1533,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,implies(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood)))))),falsehood))),
inference(forward_demodulation,[],[f1525,f201]) ).
fof(f1541,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(not(not(implies(not(falsehood),not(not(y))))),not(implies(not(not(y)),not(falsehood))))))))),
inference(forward_demodulation,[],[f1533,f1105]) ).
fof(f1549,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(implies(not(not(y)),not(falsehood)),not(implies(not(falsehood),not(not(y)))))))))),
inference(forward_demodulation,[],[f1541,f216]) ).
fof(f1557,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(implies(not(falsehood),not(not(y))),not(implies(not(not(y)),not(falsehood))))))))),
inference(forward_demodulation,[],[f1549,f406]) ).
fof(f1565,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(implies(not(falsehood),not(not(y))),not(implies(falsehood,not(y))))))))),
inference(forward_demodulation,[],[f1557,f216]) ).
fof(f1573,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(implies(falsehood,not(y)),not(implies(not(falsehood),not(not(y)))))))))),
inference(forward_demodulation,[],[f1565,f406]) ).
fof(f1581,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(implies(falsehood,not(y)),not(implies(not(y),falsehood)))))))),
inference(forward_demodulation,[],[f1573,f216]) ).
fof(f1589,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(implies(falsehood,not(y)),not(not(not(y))))))))),
inference(forward_demodulation,[],[f1581,f1105]) ).
fof(f1597,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(not(not(y)),not(implies(falsehood,not(y))))))))),
inference(forward_demodulation,[],[f1589,f406]) ).
fof(f1605,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(implies(falsehood,not(y)),not(y))))))),
inference(forward_demodulation,[],[f1597,f216]) ).
fof(f1613,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(implies(implies(not(y),falsehood),falsehood)))))),
inference(forward_demodulation,[],[f1605,f4]) ).
fof(f1621,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(not(implies(not(y),falsehood))))))),
inference(forward_demodulation,[],[f1613,f1105]) ).
fof(f1629,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,implies(not(y),falsehood))))),
inference(forward_demodulation,[],[f1621,f201]) ).
fof(f1637,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,not(not(y)))))),
inference(forward_demodulation,[],[f1629,f1105]) ).
fof(f1645,plain,
not(implies(x,not(implies(x,y)))) != not(implies(x,not(implies(x,y)))),
inference(forward_demodulation,[],[f1637,f201]) ).
fof(f1646,plain,
$false,
inference(trivial_inequality_removal,[],[f1645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL160-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:26:38 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.86/2.80 % (2507648)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.86/2.80 % (2507657)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=689793135:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 11.86/2.80 % (2507655)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=983448116:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 11.86/2.80 % (2507658)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1700177742:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 11.86/2.80 % (2507659)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=584756568:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 11.86/2.80 % (2507656)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3687703050:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 11.86/2.80 % (2507661)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2530088561:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 11.86/2.80 % (2507660)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1621564277:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 11.86/2.80 % (2507659)Instruction limit reached!
% 11.86/2.80 % (2507659)------------------------------
% 11.86/2.80 % (2507659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/2.80 % (2507659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.80 % (2507659)CaDiCaL version: 2.1.3
% 11.86/2.80 % (2507659)Termination reason: Instruction limit
% 11.86/2.80 % (2507659)Termination phase: Saturation
% 11.86/2.80 % (2507659)Time elapsed: 0.108 s
% 11.86/2.80 % (2507659)Peak memory usage: 90 MB
% 11.86/2.80 % (2507659)Instructions burned: 182 (million)
% 11.86/2.80 % (2507658)Instruction limit reached!
% 11.86/2.80 % (2507658)------------------------------
% 11.86/2.80 % (2507658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/2.80 % (2507658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.80 % (2507658)CaDiCaL version: 2.1.3
% 11.86/2.80 % (2507658)Termination reason: Instruction limit
% 11.86/2.80 % (2507658)Termination phase: Saturation
% 11.86/2.80 % (2507658)Time elapsed: 0.116 s
% 11.86/2.80 % (2507658)Peak memory usage: 88 MB
% 11.86/2.80 % (2507658)Instructions burned: 136 (million)
% 11.86/2.80 % (2507660)Instruction limit reached!
% 11.86/2.80 % (2507660)------------------------------
% 11.86/2.80 % (2507660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/2.80 % (2507660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.80 % (2507660)CaDiCaL version: 2.1.3
% 11.86/2.80 % (2507660)Termination reason: Instruction limit
% 11.86/2.80 % (2507660)Termination phase: Saturation
% 11.86/2.80 % (2507660)Time elapsed: 0.267 s
% 11.86/2.80 % (2507660)Peak memory usage: 90 MB
% 11.86/2.80 % (2507660)Instructions burned: 258 (million)
% 11.86/2.80 % (2507672)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2895566370:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 11.86/2.80 % (2507671)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3766481030:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 11.86/2.80 % (2507674)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1805799960:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 11.86/2.80 % (2507674)Instruction limit reached!
% 11.86/2.80 % (2507674)------------------------------
% 11.86/2.80 % (2507674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/2.80 % (2507674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.80 % (2507674)CaDiCaL version: 2.1.3
% 11.86/2.80 % (2507674)Termination reason: Instruction limit
% 11.86/2.80 % (2507674)Termination phase: Saturation
% 11.86/2.80 % (2507674)Time elapsed: 0.167 s
% 11.86/2.80 % (2507674)Peak memory usage: 88 MB
% 11.86/2.80 % (2507674)Instructions burned: 216 (million)
% 11.86/2.80 % (2507679)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2462306692:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 11.86/2.80 % (2507661)Instruction limit reached!
% 11.86/2.80 % (2507661)------------------------------
% 11.86/2.80 % (2507661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/2.80 % (2507661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.80 % (2507661)CaDiCaL version: 2.1.3
% 11.86/2.80 % (2507661)Termination reason: Instruction limit
% 11.86/2.80 % (2507661)Termination phase: Saturation
% 11.86/2.80 % (2507661)Time elapsed: 1.073 s
% 11.86/2.80 % (2507661)Peak memory usage: 99 MB
% 11.86/2.80 % (2507661)Instructions burned: 1187 (million)
% 11.86/2.80 % (2507656)First to succeed.
% 11.86/2.80 % (2507656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2507648"
% 11.86/2.80 % (2507657)Also succeeded, but the first one will report.
% 11.86/2.80 % (2507679)Instruction limit reached!
% 11.86/2.80 % (2507679)------------------------------
% 11.86/2.80 % (2507679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.86/2.80 % (2507679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.80 % (2507679)CaDiCaL version: 2.1.3
% 11.86/2.80 % (2507679)Termination reason: Instruction limit
% 11.86/2.80 % (2507679)Termination phase: Saturation
% 11.86/2.80 % (2507679)Time elapsed: 0.282 s
% 11.86/2.80 % (2507679)Peak memory usage: 90 MB
% 11.86/2.80 % (2507679)Instructions burned: 318 (million)
% 11.86/2.80 % (2507681)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1206160339:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 11.86/2.80 % (2507672)Also succeeded, but the first one will report.
% 11.86/2.80 % (2507656)Refutation found. Thanks to Tanya!
% 11.86/2.80 % SZS status Unsatisfiable for theBenchmark
% 11.86/2.80 % SZS output start Proof for theBenchmark
% See solution above
% 13.49/3.00 % (2507656)------------------------------
% 13.49/3.00 % (2507656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.49/3.00 % (2507656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.49/3.00 % (2507656)CaDiCaL version: 2.1.3
% 13.49/3.00 % (2507656)Termination reason: Refutation
% 13.49/3.00 % (2507656)Time elapsed: 1.128 s
% 13.49/3.00 % (2507656)Peak memory usage: 129 MB
% 13.49/3.00 % (2507656)Instructions burned: 1090 (million)
% 13.49/3.00 % (2507656)------------------------------
% 13.49/3.00 % (2507656)------------------------------
% 13.49/3.00 % (2507648)Success in time 1.805 s
% 13.49/3.00 % Vampire exiting
%------------------------------------------------------------------------------