%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL004+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:34:11 PM UTC 2026
% Result : Theorem 5.56s 1.92s
% Output : Refutation 5.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 14
% Syntax : Number of formulae : 158 ( 158 unt; 0 def)
% Number of atoms : 158 ( 157 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 212 ( 211 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f16,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+1.ax',modular_law_2) ).
fof(f17,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
! [X2,X0,X1] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f41,plain,
! [X2,X0,X1] : complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2)))),
inference(definition_unfolding,[],[f36,f24,f24,f24,f24,f24]) ).
fof(f42,plain,
zero = complement(top),
inference(forward_demodulation,[],[f38,f32]) ).
fof(f44,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f51,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f55,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f44,f32]) ).
fof(f207,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f51,f26]) ).
fof(f223,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f207,f28]) ).
fof(f228,plain,
one = converse(one),
inference(superposition,[],[f223,f26]) ).
fof(f235,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f223,f228]) ).
fof(f439,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f440,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f22,f21]) ).
fof(f448,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f22,f32]) ).
fof(f449,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f22,f21]) ).
fof(f479,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f439,f21]) ).
fof(f501,plain,
! [X0,X1] : top = join(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f448,f21]) ).
fof(f504,plain,
! [X0,X1] : top = join(X0,join(join(X1,complement(join(X0,X1))),complement(top))),
inference(superposition,[],[f448,f448]) ).
fof(f544,plain,
! [X0,X1] : top = join(X0,join(complement(top),join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f504,f21]) ).
fof(f547,plain,
! [X0,X1] : top = join(X0,join(zero,join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f544,f42]) ).
fof(f583,plain,
! [X0] : top = join(complement(X0),join(X0,complement(top))),
inference(superposition,[],[f501,f32]) ).
fof(f622,plain,
! [X0] : top = join(complement(X0),join(X0,zero)),
inference(forward_demodulation,[],[f583,f42]) ).
fof(f1007,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f440,f32]) ).
fof(f1011,plain,
! [X0,X1] : join(top,X1) = join(join(X0,zero),join(complement(X0),X1)),
inference(superposition,[],[f440,f622]) ).
fof(f1029,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f440,f22]) ).
fof(f1084,plain,
! [X0,X1] : join(top,X1) = join(X0,join(zero,join(complement(X0),X1))),
inference(forward_demodulation,[],[f1011,f22]) ).
fof(f1227,plain,
! [X0,X1] : join(top,X0) = join(complement(X1),join(X0,X1)),
inference(superposition,[],[f1007,f21]) ).
fof(f1268,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(superposition,[],[f1007,f479]) ).
fof(f1706,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f27,f223]) ).
fof(f1729,plain,
! [X0,X1] : composition(join(one,X1),X0) = join(X0,composition(X1,X0)),
inference(forward_demodulation,[],[f1706,f228]) ).
fof(f4036,plain,
! [X0] : composition(top,X0) = join(X0,composition(complement(one),X0)),
inference(superposition,[],[f1729,f32]) ).
fof(f8957,plain,
! [X0,X1] : top = join(X1,join(X0,join(zero,complement(join(X1,X0))))),
inference(superposition,[],[f547,f1029]) ).
fof(f12722,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,join(zero,complement(X1)))),
inference(superposition,[],[f1084,f449]) ).
fof(f25075,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f31,f21]) ).
fof(f25885,plain,
! [X0] : complement(one) = join(complement(one),composition(converse(X0),complement(X0))),
inference(superposition,[],[f25075,f26]) ).
fof(f25901,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f25075,f223]) ).
fof(f25961,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f25901,f235]) ).
fof(f26031,plain,
zero = join(zero,zero),
inference(superposition,[],[f25961,f42]) ).
fof(f26079,plain,
! [X0] : top = join(complement(X0),join(complement(X0),join(zero,complement(complement(X0))))),
inference(superposition,[],[f8957,f25961]) ).
fof(f26082,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f26079,f12722]) ).
fof(f26156,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f22,f26031]) ).
fof(f26261,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f26082,f1268]) ).
fof(f26444,plain,
top = composition(top,top),
inference(superposition,[],[f26261,f4036]) ).
fof(f26448,plain,
top = converse(top),
inference(superposition,[],[f26261,f55]) ).
fof(f26933,plain,
complement(top) = join(complement(top),composition(converse(top),complement(top))),
inference(superposition,[],[f25075,f26444]) ).
fof(f26939,plain,
complement(top) = composition(join(one,converse(top)),complement(top)),
inference(forward_demodulation,[],[f26933,f1729]) ).
fof(f26943,plain,
zero = composition(join(one,converse(top)),zero),
inference(forward_demodulation,[],[f26939,f42]) ).
fof(f26945,plain,
zero = join(zero,composition(converse(top),zero)),
inference(forward_demodulation,[],[f26943,f1729]) ).
fof(f26946,plain,
zero = join(zero,composition(top,zero)),
inference(forward_demodulation,[],[f26945,f26448]) ).
fof(f27272,plain,
composition(top,zero) = join(zero,composition(top,zero)),
inference(superposition,[],[f26156,f4036]) ).
fof(f27413,plain,
zero = composition(top,zero),
inference(forward_demodulation,[],[f27272,f26946]) ).
fof(f27437,plain,
! [X0] : join(zero,composition(X0,zero)) = composition(join(top,X0),zero),
inference(superposition,[],[f27,f27413]) ).
fof(f27439,plain,
! [X0] : join(zero,composition(X0,zero)) = composition(top,zero),
inference(forward_demodulation,[],[f27437,f26261]) ).
fof(f27442,plain,
! [X0] : zero = join(zero,composition(X0,zero)),
inference(forward_demodulation,[],[f27439,f27413]) ).
fof(f28964,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f23,f21]) ).
fof(f30069,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f28964,f32]) ).
fof(f30076,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f439,f28964]) ).
fof(f30118,plain,
! [X0,X1] : top = join(join(complement(X0),X1),X0),
inference(forward_demodulation,[],[f30076,f26082]) ).
fof(f30123,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f30069,f21]) ).
fof(f30192,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f30118,f21]) ).
fof(f30197,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f30123,f25961]) ).
fof(f30249,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f30197,f42]) ).
fof(f30329,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f26156,f30249]) ).
fof(f30401,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f30329,f30249]) ).
fof(f30402,plain,
! [X0] : zero = composition(X0,zero),
inference(superposition,[],[f30329,f27442]) ).
fof(f30437,plain,
top = complement(zero),
inference(superposition,[],[f30329,f32]) ).
fof(f30590,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f55,f30329]) ).
fof(f30626,plain,
top = converse(complement(converse(zero))),
inference(forward_demodulation,[],[f30590,f26448]) ).
fof(f30892,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f25961,f30401]) ).
fof(f31174,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f449,f30892]) ).
fof(f31474,plain,
converse(top) = complement(converse(zero)),
inference(superposition,[],[f28,f30626]) ).
fof(f31514,plain,
top = complement(converse(zero)),
inference(forward_demodulation,[],[f31474,f26448]) ).
fof(f31624,plain,
complement(top) = converse(zero),
inference(superposition,[],[f30401,f31514]) ).
fof(f31625,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f31624,f42]) ).
fof(f31737,plain,
! [X0] : converse(composition(zero,X0)) = composition(converse(X0),zero),
inference(superposition,[],[f51,f31625]) ).
fof(f31764,plain,
! [X0] : zero = converse(composition(zero,X0)),
inference(forward_demodulation,[],[f31737,f30402]) ).
fof(f31846,plain,
! [X0] : converse(zero) = composition(zero,X0),
inference(superposition,[],[f28,f31764]) ).
fof(f31889,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f31846,f31625]) ).
fof(f32003,plain,
! [X0,X1] : top = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f30192,f21]) ).
fof(f32133,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(complement(complement(X0)),X1))))) = X0,
inference(superposition,[],[f28964,f30192]) ).
fof(f32251,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X0,X1))))) = X0,
inference(forward_demodulation,[],[f32133,f30401]) ).
fof(f32347,plain,
! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(X0,X1))))) = X0,
inference(forward_demodulation,[],[f32251,f42]) ).
fof(f32382,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f32347,f30329]) ).
fof(f32530,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,complement(complement(X0))))))) = X0,
inference(superposition,[],[f28964,f32003]) ).
fof(f32646,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,X0))))) = X0,
inference(forward_demodulation,[],[f32530,f30401]) ).
fof(f32736,plain,
! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(X1,X0))))) = X0,
inference(forward_demodulation,[],[f32646,f42]) ).
fof(f32773,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(X1,X0)))) = X0,
inference(forward_demodulation,[],[f32736,f30329]) ).
fof(f42162,plain,
! [X0,X1] : join(zero,complement(X0)) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f30249,f32382]) ).
fof(f42178,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f42162,f30329]) ).
fof(f44254,plain,
! [X0,X1] : join(zero,complement(X0)) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f30249,f32773]) ).
fof(f44276,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f44254,f30329]) ).
fof(f46504,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(complement(complement(join(X0,X1))),complement(complement(X0)))),
inference(superposition,[],[f32773,f42178]) ).
fof(f46505,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(complement(complement(X0)),complement(complement(join(X0,X1))))),
inference(forward_demodulation,[],[f46504,f21]) ).
fof(f46686,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(complement(complement(X0)),join(X0,X1))),
inference(forward_demodulation,[],[f46505,f30401]) ).
fof(f46797,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[],[f46686,f449]) ).
fof(f46866,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X0,join(X1,X0))),
inference(forward_demodulation,[],[f46797,f30401]) ).
fof(f46898,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f46866,f31174]) ).
fof(f57914,plain,
! [X2,X0,X1] : complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))),
inference(forward_demodulation,[],[f41,f46898]) ).
fof(f66083,plain,
! [X0,X1] : complement(one) = join(complement(one),composition(converse(join(complement(X0),complement(join(X0,X1)))),X0)),
inference(superposition,[],[f25885,f32382]) ).
fof(f66179,plain,
! [X0] : complement(one) = join(complement(one),composition(converse(complement(X0)),X0)),
inference(forward_demodulation,[],[f66083,f42178]) ).
fof(f68585,plain,
! [X0] : join(top,complement(one)) = join(complement(composition(converse(complement(X0)),X0)),complement(one)),
inference(superposition,[],[f1227,f66179]) ).
fof(f68615,plain,
! [X0] : join(top,complement(one)) = join(complement(one),complement(composition(converse(complement(X0)),X0))),
inference(forward_demodulation,[],[f68585,f21]) ).
fof(f68653,plain,
! [X0] : top = join(complement(one),complement(composition(converse(complement(X0)),X0))),
inference(forward_demodulation,[],[f68615,f26082]) ).
fof(f72187,plain,
! [X0] : complement(join(complement(converse(complement(converse(X0)))),complement(composition(complement(top),X0)))) = join(complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),complement(join(complement(converse(complement(converse(X0)))),complement(composition(complement(top),X0))))),
inference(superposition,[],[f57914,f68653]) ).
fof(f72280,plain,
! [X0] : complement(join(complement(composition(complement(top),X0)),complement(converse(complement(converse(X0)))))) = join(complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),complement(join(complement(composition(complement(top),X0)),complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f72187,f46898]) ).
fof(f72331,plain,
! [X0] : complement(join(complement(composition(zero,X0)),complement(converse(complement(converse(X0)))))) = join(complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),complement(join(complement(composition(zero,X0)),complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f72280,f42]) ).
fof(f72361,plain,
! [X0] : complement(join(complement(zero),complement(converse(complement(converse(X0)))))) = join(complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0)))))),complement(join(complement(zero),complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f72331,f31889]) ).
fof(f72380,plain,
! [X0] : complement(join(complement(zero),complement(converse(complement(converse(X0)))))) = join(complement(join(complement(zero),complement(converse(complement(converse(X0)))))),complement(join(complement(composition(one,X0)),complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f72361,f21]) ).
fof(f72392,plain,
! [X0] : complement(join(complement(zero),complement(converse(complement(converse(X0)))))) = join(complement(join(complement(zero),complement(converse(complement(converse(X0)))))),complement(join(complement(X0),complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f72380,f235]) ).
fof(f72401,plain,
! [X0] : complement(join(top,complement(converse(complement(converse(X0)))))) = join(complement(join(top,complement(converse(complement(converse(X0)))))),complement(join(complement(X0),complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f72392,f30437]) ).
fof(f72407,plain,
! [X0] : complement(top) = join(complement(top),complement(join(complement(X0),complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f72401,f26082]) ).
fof(f72412,plain,
! [X0] : zero = join(zero,complement(join(complement(X0),complement(converse(complement(converse(X0))))))),
inference(forward_demodulation,[],[f72407,f42]) ).
fof(f72416,plain,
! [X0] : zero = complement(join(complement(X0),complement(converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f72412,f30329]) ).
fof(f75133,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(converse(complement(converse(X0)))))))) = X0,
inference(superposition,[],[f28964,f72416]) ).
fof(f75354,plain,
! [X0] : complement(join(complement(X0),complement(complement(converse(complement(converse(X0))))))) = X0,
inference(forward_demodulation,[],[f75133,f30329]) ).
fof(f75458,plain,
! [X0] : complement(join(complement(X0),converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f75354,f30401]) ).
fof(f76027,plain,
! [X0] : complement(X0) = join(complement(X0),converse(complement(converse(X0)))),
inference(superposition,[],[f30401,f75458]) ).
fof(f77013,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(superposition,[],[f76027,f30401]) ).
fof(f77339,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(converse(complement(converse(complement(converse(X0))))))),
inference(superposition,[],[f44,f77013]) ).
fof(f77403,plain,
! [X0] : converse(converse(X0)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f77339,f28]) ).
fof(f77495,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f77403,f28]) ).
fof(f77670,plain,
! [X0] : complement(complement(converse(complement(converse(X0))))) = join(complement(complement(converse(complement(converse(X0))))),complement(X0)),
inference(superposition,[],[f44276,f77495]) ).
fof(f77823,plain,
! [X0] : complement(complement(converse(complement(converse(X0))))) = join(complement(X0),complement(complement(converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f77670,f21]) ).
fof(f77909,plain,
! [X0] : converse(complement(converse(X0))) = join(complement(X0),converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f77823,f30401]) ).
fof(f77941,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(forward_demodulation,[],[f77909,f76027]) ).
fof(f77987,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(superposition,[],[f77941,f28]) ).
fof(f78320,plain,
complement(converse(sK0)) != complement(converse(sK0)),
inference(superposition,[],[f37,f77987]) ).
fof(f78380,plain,
$false,
inference(trivial_inequality_removal,[],[f78320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL004+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.49 % Computer : n009.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.50 % CPULimit : 300
% 0.23/0.50 % WCLimit : 300
% 0.23/0.50 % DateTime : Sun Sep 27 22:50:15 UTC 2026
% 0.23/0.50 % CPUTime :
% 0.23/0.50 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.53 Running first-order model finding
% 0.23/0.53 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.56/1.91 % (2489102)Will run a generic schedule for satisfiability detection.
% 5.56/1.91 % (2489111)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=478080843:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.56/1.91 % (2489108)% WARNING: option uhcvi not known.
% 5.56/1.91 % (2489109)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1371122484:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.56/1.91 % (2489110)dis+10_1_sil=32000:sp=arity:random_seed=3023895152:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.56/1.91 % (2489107)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3152062213_2999 on theBenchmark for (2999ds/0Mi)
% 5.56/1.91 % (2489108)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1116502706:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.56/1.91 % TRYING [1]
% 5.56/1.91 % TRYING [2]
% 5.56/1.91 % TRYING [3]
% 5.56/1.91 % (2489112)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1819477665:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.56/1.91 % (2489113)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1799455969:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.56/1.91 % (2489111)Instruction limit reached!
% 5.56/1.91 % (2489111)------------------------------
% 5.56/1.91 % (2489111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.91 % (2489111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.91 % (2489111)CaDiCaL version: 2.1.3
% 5.56/1.91 % (2489111)Termination reason: Instruction limit
% 5.56/1.91 % (2489111)Termination phase: Saturation
% 5.56/1.91 % (2489111)Time elapsed: 0.038 s
% 5.56/1.91 % (2489111)Peak memory usage: 13 MB
% 5.56/1.91 % (2489111)Instructions burned: 117 (million)
% 5.56/1.91 % (2489121)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=159648354:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.56/1.91 % TRYING [4]
% 5.56/1.91 % TRYING [1]
% 5.56/1.91 % TRYING [2]
% 5.56/1.91 % TRYING [3]
% 5.56/1.91 % (2489110)Instruction limit reached!
% 5.56/1.91 % (2489110)------------------------------
% 5.56/1.91 % (2489110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.91 % (2489110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489110)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489110)Termination reason: Instruction limit
% 5.56/1.92 % (2489110)Termination phase: Saturation
% 5.56/1.92 % (2489110)Time elapsed: 0.060 s
% 5.56/1.92 % (2489110)Peak memory usage: 13 MB
% 5.56/1.92 % (2489110)Instructions burned: 103 (million)
% 5.56/1.92 % TRYING [4]
% 5.56/1.92 % (2489123)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1699397516:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.56/1.92 % (2489112)Instruction limit reached!
% 5.56/1.92 % (2489112)------------------------------
% 5.56/1.92 % (2489112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489112)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489112)Termination reason: Instruction limit
% 5.56/1.92 % (2489112)Termination phase: Saturation
% 5.56/1.92 % (2489112)Time elapsed: 0.128 s
% 5.56/1.92 % (2489112)Peak memory usage: 13 MB
% 5.56/1.92 % (2489112)Instructions burned: 131 (million)
% 5.56/1.92 % TRYING [5]
% 5.56/1.92 % (2489125)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2254698932:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.56/1.92 % (2489123)Instruction limit reached!
% 5.56/1.92 % (2489123)------------------------------
% 5.56/1.92 % (2489123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489123)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489123)Termination reason: Instruction limit
% 5.56/1.92 % (2489123)Termination phase: Saturation
% 5.56/1.92 % (2489123)Time elapsed: 0.084 s
% 5.56/1.92 % (2489123)Peak memory usage: 13 MB
% 5.56/1.92 % (2489123)Instructions burned: 131 (million)
% 5.56/1.92 % (2489113)Instruction limit reached!
% 5.56/1.92 % (2489113)------------------------------
% 5.56/1.92 % (2489113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489113)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489113)Termination reason: Instruction limit
% 5.56/1.92 % (2489113)Termination phase: Saturation
% 5.56/1.92 % (2489113)Time elapsed: 0.159 s
% 5.56/1.92 % (2489113)Peak memory usage: 13 MB
% 5.56/1.92 % (2489113)Instructions burned: 159 (million)
% 5.56/1.92 % (2489121)Instruction limit reached!
% 5.56/1.92 % (2489121)------------------------------
% 5.56/1.92 % (2489121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489121)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489121)Termination reason: Instruction limit
% 5.56/1.92 % (2489121)Termination phase: Finite model building constraint generation
% 5.56/1.92 % (2489121)Time elapsed: 0.149 s
% 5.56/1.92 % (2489121)Peak memory usage: 28 MB
% 5.56/1.92 % (2489121)Instructions burned: 716 (million)
% 5.56/1.92 % (2489127)ott-21_1_sil=16000:fs=off:random_seed=2614938959:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.56/1.92 % (2489129)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3460461139:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.56/1.92 % TRYING [1]
% 5.56/1.92 % TRYING [2]
% 5.56/1.92 % (2489128)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=182502281:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.56/1.92 % TRYING [5]
% 5.56/1.92 % TRYING [3]
% 5.56/1.92 % TRYING [4]
% 5.56/1.92 % (2489127)Instruction limit reached!
% 5.56/1.92 % (2489127)------------------------------
% 5.56/1.92 % (2489127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489127)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489127)Termination reason: Instruction limit
% 5.56/1.92 % (2489127)Termination phase: Saturation
% 5.56/1.92 % (2489127)Time elapsed: 0.084 s
% 5.56/1.92 % (2489127)Peak memory usage: 12 MB
% 5.56/1.92 % (2489127)Instructions burned: 180 (million)
% 5.56/1.92 % (2489133)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3016716105:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 5.56/1.92 % (2489129)Instruction limit reached!
% 5.56/1.92 % (2489129)------------------------------
% 5.56/1.92 % (2489129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489129)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489129)Termination reason: Instruction limit
% 5.56/1.92 % (2489129)Termination phase: Finite model building SAT solving
% 5.56/1.92 % (2489129)Time elapsed: 0.159 s
% 5.56/1.92 % (2489129)Peak memory usage: 23 MB
% 5.56/1.92 % (2489129)Instructions burned: 871 (million)
% 5.56/1.92 % (2489135)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=987241131:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 5.56/1.92 % (2489125)Instruction limit reached!
% 5.56/1.92 % (2489125)------------------------------
% 5.56/1.92 % (2489125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489125)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489125)Termination reason: Instruction limit
% 5.56/1.92 % (2489125)Termination phase: Saturation
% 5.56/1.92 % (2489125)Time elapsed: 0.355 s
% 5.56/1.92 % (2489125)Peak memory usage: 16 MB
% 5.56/1.92 % (2489125)Instructions burned: 685 (million)
% 5.56/1.92 % (2489137)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1974587792:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 5.56/1.92 % (2489135)Instruction limit reached!
% 5.56/1.92 % (2489135)------------------------------
% 5.56/1.92 % (2489135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489135)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489135)Termination reason: Instruction limit
% 5.56/1.92 % (2489135)Termination phase: Finite model building constraint generation
% 5.56/1.92 % (2489135)Time elapsed: 0.237 s
% 5.56/1.92 % (2489135)Peak memory usage: 106 MB
% 5.56/1.92 % (2489135)Instructions burned: 891 (million)
% 5.56/1.92 % (2489142)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1672676764:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 5.56/1.92 % (2489128)Instruction limit reached!
% 5.56/1.92 % (2489128)------------------------------
% 5.56/1.92 % (2489128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489128)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489128)Termination reason: Instruction limit
% 5.56/1.92 % (2489128)Termination phase: Saturation
% 5.56/1.92 % (2489128)Time elapsed: 0.436 s
% 5.56/1.92 % (2489128)Peak memory usage: 16 MB
% 5.56/1.92 % (2489128)Instructions burned: 477 (million)
% 5.56/1.92 % (2489144)fmb+10_1_sil=64000:random_seed=1644740786:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 5.56/1.92 % TRYING [1]
% 5.56/1.92 % TRYING [2]
% 5.56/1.92 % TRYING [3]
% 5.56/1.92 % TRYING [4]
% 5.56/1.92 % (2489142)Instruction limit reached!
% 5.56/1.92 % (2489142)------------------------------
% 5.56/1.92 % (2489142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489142)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489142)Termination reason: Instruction limit
% 5.56/1.92 % (2489142)Termination phase: Saturation
% 5.56/1.92 % (2489142)Time elapsed: 0.244 s
% 5.56/1.92 % (2489142)Peak memory usage: 18 MB
% 5.56/1.92 % (2489142)Instructions burned: 879 (million)
% 5.56/1.92 % (2489146)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2589966602:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 5.56/1.92 % TRYING [6]
% 5.56/1.92 % TRYING [20]
% 5.56/1.92 % (2489137)Instruction limit reached!
% 5.56/1.92 % (2489137)------------------------------
% 5.56/1.92 % (2489137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489137)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489137)Termination reason: Instruction limit
% 5.56/1.92 % (2489137)Termination phase: Saturation
% 5.56/1.92 % (2489137)Time elapsed: 0.405 s
% 5.56/1.92 % (2489137)Peak memory usage: 18 MB
% 5.56/1.92 % (2489137)Instructions burned: 693 (million)
% 5.56/1.92 % (2489148)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2785267692:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 5.56/1.92 % TRYING [8]
% 5.56/1.92 % (2489133)Instruction limit reached!
% 5.56/1.92 % (2489133)------------------------------
% 5.56/1.92 % (2489133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489133)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489133)Termination reason: Instruction limit
% 5.56/1.92 % (2489133)Termination phase: Saturation
% 5.56/1.92 % (2489133)Time elapsed: 0.705 s
% 5.56/1.92 % (2489133)Peak memory usage: 21 MB
% 5.56/1.92 % (2489133)Instructions burned: 1179 (million)
% 5.56/1.92 % (2489152)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3597274389:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 5.56/1.92 % TRYING [5]
% 5.56/1.92 % (2489148)Instruction limit reached!
% 5.56/1.92 % (2489148)------------------------------
% 5.56/1.92 % (2489148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489148)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489148)Termination reason: Instruction limit
% 5.56/1.92 % (2489148)Termination phase: Finite model building constraint generation
% 5.56/1.92 % (2489148)Time elapsed: 0.321 s
% 5.56/1.92 % (2489148)Peak memory usage: 75 MB
% 5.56/1.92 % (2489148)Instructions burned: 923 (million)
% 5.56/1.92 % (2489214)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1882873431:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 5.56/1.92 % (2489109) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2489102-2489109"...
% 5.56/1.92 % (2489109)...printing done.
% 5.56/1.92 % (2489109)Refutation found. Thanks to Tanya!
% 5.56/1.92 % SZS status Theorem for theBenchmark
% 5.56/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 5.56/1.92 % (2489109)------------------------------
% 5.56/1.92 % (2489109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.56/1.92 % (2489109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.92 % (2489109)CaDiCaL version: 2.1.3
% 5.56/1.92 % (2489109)Termination reason: Refutation
% 5.56/1.92 % (2489109)Time elapsed: 1.332 s
% 5.56/1.92 % (2489109)Peak memory usage: 30 MB
% 5.56/1.92 % (2489109)Instructions burned: 2673 (million)
% 5.56/1.92 % (2489102)Success in time 1.381 s
% 5.56/1.92 % Vampire exiting
%------------------------------------------------------------------------------