%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL004+1 : 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 : n006.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 6.68s 2.62s
% Output : Refutation 6.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 13
% Syntax : Number of formulae : 142 ( 142 unt; 0 def)
% Number of atoms : 142 ( 141 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 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 : 210 ( 209 !; 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(f14,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
converse(complement(sK0)) != complement(converse(sK0)),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,plain,
zero = complement(top),
inference(forward_demodulation,[],[f32,f29]) ).
fof(f34,plain,
top = join(top,zero),
inference(superposition,[],[f29,f33]) ).
fof(f35,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f26,f25]) ).
fof(f42,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f46,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f35,f29]) ).
fof(f198,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f42,f23]) ).
fof(f214,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f198,f25]) ).
fof(f219,plain,
one = converse(one),
inference(superposition,[],[f214,f23]) ).
fof(f226,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f214,f219]) ).
fof(f430,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f19,f29]) ).
fof(f431,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f19,f18]) ).
fof(f437,plain,
! [X2,X0,X1] : join(converse(X0),join(converse(X1),X2)) = join(converse(join(X0,X1)),X2),
inference(superposition,[],[f19,f26]) ).
fof(f439,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f19,f29]) ).
fof(f440,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f19,f18]) ).
fof(f470,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f430,f18]) ).
fof(f492,plain,
! [X0,X1] : top = join(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f439,f18]) ).
fof(f495,plain,
! [X0,X1] : top = join(X0,join(join(X1,complement(join(X0,X1))),complement(top))),
inference(superposition,[],[f439,f439]) ).
fof(f535,plain,
! [X0,X1] : top = join(X0,join(complement(top),join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f495,f18]) ).
fof(f538,plain,
! [X0,X1] : top = join(X0,join(zero,join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f535,f33]) ).
fof(f575,plain,
! [X0] : top = join(complement(X0),join(X0,complement(top))),
inference(superposition,[],[f492,f29]) ).
fof(f614,plain,
! [X0] : top = join(complement(X0),join(X0,zero)),
inference(forward_demodulation,[],[f575,f33]) ).
fof(f632,plain,
! [X0] : top = join(complement(X0),join(zero,X0)),
inference(superposition,[],[f614,f18]) ).
fof(f1008,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f431,f29]) ).
fof(f1012,plain,
! [X0,X1] : join(top,X1) = join(join(X0,zero),join(complement(X0),X1)),
inference(superposition,[],[f431,f614]) ).
fof(f1022,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f431,f34]) ).
fof(f1030,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f431,f19]) ).
fof(f1085,plain,
! [X0,X1] : join(top,X1) = join(X0,join(zero,join(complement(X0),X1))),
inference(forward_demodulation,[],[f1012,f19]) ).
fof(f1128,plain,
converse(top) = join(zero,converse(top)),
inference(superposition,[],[f1022,f46]) ).
fof(f1236,plain,
! [X0] : join(top,converse(complement(converse(X0)))) = join(complement(X0),converse(top)),
inference(superposition,[],[f1008,f46]) ).
fof(f1269,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(superposition,[],[f1008,f470]) ).
fof(f1761,plain,
! [X0] : join(X0,converse(top)) = join(zero,join(converse(top),X0)),
inference(superposition,[],[f440,f1128]) ).
fof(f2759,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f1030,f440]) ).
fof(f4833,plain,
! [X0] : join(zero,converse(join(top,X0))) = join(converse(X0),converse(top)),
inference(superposition,[],[f1761,f26]) ).
fof(f4937,plain,
! [X0] : join(zero,converse(join(top,X0))) = converse(join(X0,top)),
inference(forward_demodulation,[],[f4833,f26]) ).
fof(f7328,plain,
! [X0] : top = join(complement(converse(join(top,X0))),converse(join(X0,top))),
inference(superposition,[],[f632,f4937]) ).
fof(f7359,plain,
! [X0] : top = join(converse(join(X0,top)),complement(converse(join(top,X0)))),
inference(forward_demodulation,[],[f7328,f18]) ).
fof(f7859,plain,
! [X0,X1] : top = join(X1,join(X0,join(zero,complement(join(X1,X0))))),
inference(superposition,[],[f538,f1030]) ).
fof(f11480,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,join(zero,complement(X1)))),
inference(superposition,[],[f1085,f440]) ).
fof(f20181,plain,
! [X0] : converse(top) = join(join(X0,top),converse(complement(converse(join(top,X0))))),
inference(superposition,[],[f35,f7359]) ).
fof(f20223,plain,
! [X0] : converse(top) = join(X0,join(top,converse(complement(converse(join(top,X0)))))),
inference(forward_demodulation,[],[f20181,f19]) ).
fof(f20320,plain,
! [X0] : converse(top) = join(X0,join(complement(join(top,X0)),converse(top))),
inference(forward_demodulation,[],[f20223,f1236]) ).
fof(f20405,plain,
! [X0] : converse(top) = join(X0,join(converse(top),complement(join(top,X0)))),
inference(forward_demodulation,[],[f20320,f2759]) ).
fof(f22592,plain,
converse(top) = join(top,complement(join(top,complement(converse(top))))),
inference(superposition,[],[f20405,f1008]) ).
fof(f25917,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f24,f214]) ).
fof(f25964,plain,
! [X0,X1] : composition(join(one,X1),X0) = join(X0,composition(X1,X0)),
inference(forward_demodulation,[],[f25917,f219]) ).
fof(f29852,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f28,f18]) ).
fof(f29884,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f29852,f214]) ).
fof(f29946,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f29884,f226]) ).
fof(f30016,plain,
zero = join(zero,zero),
inference(superposition,[],[f29946,f33]) ).
fof(f30066,plain,
! [X0] : top = join(complement(X0),join(complement(X0),join(zero,complement(complement(X0))))),
inference(superposition,[],[f7859,f29946]) ).
fof(f30069,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f30066,f11480]) ).
fof(f30148,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f19,f30016]) ).
fof(f30273,plain,
top = converse(top),
inference(superposition,[],[f30069,f22592]) ).
fof(f30275,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f30069,f1269]) ).
fof(f31094,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f20,f18]) ).
fof(f31867,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f31094,f18]) ).
fof(f31914,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f31094,f29]) ).
fof(f31917,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f31094,f18]) ).
fof(f31921,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f430,f31094]) ).
fof(f31963,plain,
! [X0,X1] : top = join(join(complement(X0),X1),X0),
inference(forward_demodulation,[],[f31921,f30069]) ).
fof(f31968,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f31914,f18]) ).
fof(f32034,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f31963,f18]) ).
fof(f32039,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f31968,f29946]) ).
fof(f32091,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f32039,f33]) ).
fof(f32178,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f30148,f32091]) ).
fof(f32245,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f32178,f32091]) ).
fof(f32778,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f29946,f32245]) ).
fof(f33061,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f440,f32778]) ).
fof(f33866,plain,
! [X0,X1] : top = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f32034,f18]) ).
fof(f33995,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(complement(complement(X0)),X1))))) = X0,
inference(superposition,[],[f31094,f32034]) ).
fof(f34117,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X0,X1))))) = X0,
inference(forward_demodulation,[],[f33995,f32245]) ).
fof(f34216,plain,
! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(X0,X1))))) = X0,
inference(forward_demodulation,[],[f34117,f33]) ).
fof(f34253,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f34216,f32178]) ).
fof(f34409,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,complement(complement(X0))))))) = X0,
inference(superposition,[],[f31094,f33866]) ).
fof(f34526,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X0),complement(join(X1,X0))))) = X0,
inference(forward_demodulation,[],[f34409,f32245]) ).
fof(f34620,plain,
! [X0,X1] : join(zero,complement(join(complement(X0),complement(join(X1,X0))))) = X0,
inference(forward_demodulation,[],[f34526,f33]) ).
fof(f34661,plain,
! [X0,X1] : complement(join(complement(X0),complement(join(X1,X0)))) = X0,
inference(forward_demodulation,[],[f34620,f32178]) ).
fof(f46621,plain,
! [X0,X1] : complement(join(complement(X1),complement(composition(join(one,X0),X1)))) = X1,
inference(superposition,[],[f34253,f25964]) ).
fof(f46869,plain,
! [X0,X1] : join(zero,complement(X0)) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f32091,f34253]) ).
fof(f46891,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f46869,f32178]) ).
fof(f51222,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(composition(join(one,X0),X1))),
inference(superposition,[],[f46891,f25964]) ).
fof(f51478,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(complement(complement(join(X0,X1))),complement(complement(X0)))),
inference(superposition,[],[f34661,f46891]) ).
fof(f51479,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(complement(complement(X0)),complement(complement(join(X0,X1))))),
inference(forward_demodulation,[],[f51478,f18]) ).
fof(f51665,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(complement(complement(X0)),join(X0,X1))),
inference(forward_demodulation,[],[f51479,f32245]) ).
fof(f51779,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[],[f51665,f440]) ).
fof(f51847,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X0,join(X1,X0))),
inference(forward_demodulation,[],[f51779,f32245]) ).
fof(f51878,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f51847,f33061]) ).
fof(f80483,plain,
! [X0,X1] : join(top,converse(X1)) = join(converse(join(X0,X1)),complement(converse(X0))),
inference(superposition,[],[f470,f437]) ).
fof(f80583,plain,
! [X0,X1] : join(top,converse(X1)) = join(complement(converse(X0)),converse(join(X0,X1))),
inference(forward_demodulation,[],[f80483,f18]) ).
fof(f80810,plain,
! [X0,X1] : top = join(complement(converse(X0)),converse(join(X0,X1))),
inference(forward_demodulation,[],[f80583,f30275]) ).
fof(f182045,plain,
! [X0,X1] : top = join(complement(converse(complement(join(X1,complement(X0))))),converse(X0)),
inference(superposition,[],[f80810,f31867]) ).
fof(f182073,plain,
! [X0,X1] : top = join(converse(X0),complement(converse(complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[],[f182045,f18]) ).
fof(f228966,plain,
! [X0] : join(complement(converse(top)),complement(join(complement(converse(complement(converse(complement(X0))))),complement(X0)))) = X0,
inference(superposition,[],[f31917,f46]) ).
fof(f229383,plain,
! [X0] : join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(forward_demodulation,[],[f228966,f51878]) ).
fof(f229720,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(forward_demodulation,[],[f229383,f30273]) ).
fof(f229955,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
inference(forward_demodulation,[],[f229720,f33]) ).
fof(f230138,plain,
! [X0] : complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))) = X0,
inference(forward_demodulation,[],[f229955,f32178]) ).
fof(f230362,plain,
! [X0] : top = join(converse(converse(complement(converse(complement(X0))))),complement(converse(X0))),
inference(superposition,[],[f182073,f230138]) ).
fof(f230655,plain,
! [X0] : top = join(complement(converse(X0)),converse(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f230362,f18]) ).
fof(f230735,plain,
! [X0] : top = join(complement(converse(X0)),complement(converse(complement(X0)))),
inference(forward_demodulation,[],[f230655,f25]) ).
fof(f230820,plain,
! [X0] : top = join(complement(X0),complement(converse(complement(converse(X0))))),
inference(superposition,[],[f230735,f25]) ).
fof(f231358,plain,
! [X0,X1] : top = join(X0,complement(converse(complement(converse(join(complement(X0),complement(composition(join(one,X1),X0)))))))),
inference(superposition,[],[f230820,f46621]) ).
fof(f231682,plain,
! [X0] : top = join(X0,complement(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f231358,f51222]) ).
fof(f231970,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(top),complement(join(complement(converse(complement(converse(complement(X0))))),complement(X0)))),
inference(superposition,[],[f31867,f231682]) ).
fof(f232368,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(top),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f231970,f51878]) ).
fof(f232528,plain,
! [X0] : join(complement(top),X0) = converse(complement(converse(complement(X0)))),
inference(forward_demodulation,[],[f232368,f230138]) ).
fof(f232617,plain,
! [X0] : join(zero,X0) = converse(complement(converse(complement(X0)))),
inference(forward_demodulation,[],[f232528,f33]) ).
fof(f232667,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f232617,f32178]) ).
fof(f232730,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(superposition,[],[f232667,f32245]) ).
fof(f233040,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(superposition,[],[f232730,f25]) ).
fof(f234137,plain,
complement(converse(sK0)) != complement(converse(sK0)),
inference(superposition,[],[f31,f233040]) ).
fof(f234248,plain,
$false,
inference(trivial_inequality_removal,[],[f234137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL004+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:49:56 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 6.68/2.62 % (3413227)Will run a generic schedule for satisfiability detection.
% 6.68/2.62 % (3413234)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=52373595:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.68/2.62 % (3413233)% WARNING: option uhcvi not known.
% 6.68/2.62 % (3413232)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=392467139_2999 on theBenchmark for (2999ds/0Mi)
% 6.68/2.62 % (3413236)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1968608362:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.68/2.62 % (3413233)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2342835812:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.68/2.62 % (3413235)dis+10_1_sil=32000:sp=arity:random_seed=3542965443:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.68/2.62 % (3413237)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2386257755:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.68/2.62 % (3413238)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=50216945:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.68/2.62 % TRYING [1]
% 6.68/2.62 % TRYING [2]
% 6.68/2.62 % TRYING [3]
% 6.68/2.62 % TRYING [4]
% 6.68/2.62 % TRYING [5]
% 6.68/2.62 % (3413235)Instruction limit reached!
% 6.68/2.62 % (3413235)------------------------------
% 6.68/2.62 % (3413235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413235)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413235)Termination reason: Instruction limit
% 6.68/2.62 % (3413235)Termination phase: Saturation
% 6.68/2.62 % (3413235)Time elapsed: 0.060 s
% 6.68/2.62 % (3413235)Peak memory usage: 12 MB
% 6.68/2.62 % (3413235)Instructions burned: 103 (million)
% 6.68/2.62 % (3413236)Instruction limit reached!
% 6.68/2.62 % (3413236)------------------------------
% 6.68/2.62 % (3413236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413236)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413236)Termination reason: Instruction limit
% 6.68/2.62 % (3413236)Termination phase: Saturation
% 6.68/2.62 % (3413236)Time elapsed: 0.070 s
% 6.68/2.62 % (3413236)Peak memory usage: 12 MB
% 6.68/2.62 % (3413236)Instructions burned: 117 (million)
% 6.68/2.62 % (3413237)Instruction limit reached!
% 6.68/2.62 % (3413237)------------------------------
% 6.68/2.62 % (3413237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413237)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413237)Termination reason: Instruction limit
% 6.68/2.62 % (3413237)Termination phase: Saturation
% 6.68/2.62 % (3413237)Time elapsed: 0.076 s
% 6.68/2.62 % (3413237)Peak memory usage: 12 MB
% 6.68/2.62 % (3413237)Instructions burned: 132 (million)
% 6.68/2.62 % (3413246)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=886533444:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.68/2.62 % TRYING [1]
% 6.68/2.62 % TRYING [2]
% 6.68/2.62 % TRYING [3]
% 6.68/2.62 % (3413247)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1298179623:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.68/2.62 % TRYING [4]
% 6.68/2.62 % (3413238)Instruction limit reached!
% 6.68/2.62 % (3413238)------------------------------
% 6.68/2.62 % (3413238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413238)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413238)Termination reason: Instruction limit
% 6.68/2.62 % (3413238)Termination phase: Saturation
% 6.68/2.62 % (3413238)Time elapsed: 0.096 s
% 6.68/2.62 % (3413238)Peak memory usage: 13 MB
% 6.68/2.62 % (3413238)Instructions burned: 160 (million)
% 6.68/2.62 % (3413248)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=3254957195:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.68/2.62 % (3413251)ott-21_1_sil=16000:fs=off:random_seed=4051336793:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.68/2.62 % TRYING [5]
% 6.68/2.62 % (3413247)Instruction limit reached!
% 6.68/2.62 % (3413247)------------------------------
% 6.68/2.62 % (3413247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413247)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413247)Termination reason: Instruction limit
% 6.68/2.62 % (3413247)Termination phase: Saturation
% 6.68/2.62 % (3413247)Time elapsed: 0.084 s
% 6.68/2.62 % (3413247)Peak memory usage: 13 MB
% 6.68/2.62 % (3413247)Instructions burned: 131 (million)
% 6.68/2.62 % (3413254)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2209777678:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.68/2.62 % (3413251)Instruction limit reached!
% 6.68/2.62 % (3413251)------------------------------
% 6.68/2.62 % (3413251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413251)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413251)Termination reason: Instruction limit
% 6.68/2.62 % (3413251)Termination phase: Saturation
% 6.68/2.62 % (3413251)Time elapsed: 0.080 s
% 6.68/2.62 % (3413251)Peak memory usage: 12 MB
% 6.68/2.62 % (3413251)Instructions burned: 180 (million)
% 6.68/2.62 % (3413256)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1462440211:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.68/2.62 % TRYING [1]
% 6.68/2.62 % TRYING [2]
% 6.68/2.62 % TRYING [3]
% 6.68/2.62 % TRYING [6]
% 6.68/2.62 % TRYING [4]
% 6.68/2.62 % TRYING [5]
% 6.68/2.62 % TRYING [6]
% 6.68/2.62 % (3413246)Instruction limit reached!
% 6.68/2.62 % (3413246)------------------------------
% 6.68/2.62 % (3413246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413246)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413246)Termination reason: Instruction limit
% 6.68/2.62 % (3413246)Termination phase: Finite model building constraint generation
% 6.68/2.62 % (3413246)Time elapsed: 0.351 s
% 6.68/2.62 % (3413246)Peak memory usage: 25 MB
% 6.68/2.62 % (3413246)Instructions burned: 715 (million)
% 6.68/2.62 % TRYING [6]
% 6.68/2.62 % (3413248)Instruction limit reached!
% 6.68/2.62 % (3413248)------------------------------
% 6.68/2.62 % (3413248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413248)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413248)Termination reason: Instruction limit
% 6.68/2.62 % (3413248)Termination phase: Saturation
% 6.68/2.62 % (3413248)Time elapsed: 0.340 s
% 6.68/2.62 % (3413248)Peak memory usage: 16 MB
% 6.68/2.62 % (3413248)Instructions burned: 685 (million)
% 6.68/2.62 % (3413254)Instruction limit reached!
% 6.68/2.62 % (3413254)------------------------------
% 6.68/2.62 % (3413254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413254)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413254)Termination reason: Instruction limit
% 6.68/2.62 % (3413254)Termination phase: Saturation
% 6.68/2.62 % (3413254)Time elapsed: 0.257 s
% 6.68/2.62 % (3413254)Peak memory usage: 15 MB
% 6.68/2.62 % (3413254)Instructions burned: 478 (million)
% 6.68/2.62 % (3413258)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4257456574:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 6.68/2.62 % (3413259)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2529408648:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.68/2.62 % (3413260)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=4229082538:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 6.68/2.62 % (3413256)Instruction limit reached!
% 6.68/2.62 % (3413256)------------------------------
% 6.68/2.62 % (3413256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413256)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413256)Termination reason: Instruction limit
% 6.68/2.62 % (3413256)Termination phase: Finite model building SAT solving
% 6.68/2.62 % (3413256)Time elapsed: 0.339 s
% 6.68/2.62 % (3413256)Peak memory usage: 22 MB
% 6.68/2.62 % (3413256)Instructions burned: 872 (million)
% 6.68/2.62 % TRYING [14]
% 6.68/2.62 % (3413264)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1325560953:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.68/2.62 % (3413259)Instruction limit reached!
% 6.68/2.62 % (3413259)------------------------------
% 6.68/2.62 % (3413259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413259)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413259)Termination reason: Instruction limit
% 6.68/2.62 % (3413259)Termination phase: Finite model building constraint generation
% 6.68/2.62 % (3413259)Time elapsed: 0.336 s
% 6.68/2.62 % (3413259)Peak memory usage: 82 MB
% 6.68/2.62 % (3413259)Instructions burned: 891 (million)
% 6.68/2.62 % (3413266)fmb+10_1_sil=64000:random_seed=429925845:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 6.68/2.62 % TRYING [1]
% 6.68/2.62 % TRYING [2]
% 6.68/2.62 % TRYING [3]
% 6.68/2.62 % TRYING [4]
% 6.68/2.62 % (3413260)Instruction limit reached!
% 6.68/2.62 % (3413260)------------------------------
% 6.68/2.62 % (3413260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413260)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413260)Termination reason: Instruction limit
% 6.68/2.62 % (3413260)Termination phase: Saturation
% 6.68/2.62 % (3413260)Time elapsed: 0.393 s
% 6.68/2.62 % (3413260)Peak memory usage: 18 MB
% 6.68/2.62 % (3413260)Instructions burned: 692 (million)
% 6.68/2.62 % (3413268)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2985290013:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.68/2.62 % TRYING [20]
% 6.68/2.62 % TRYING [5]
% 6.68/2.62 % TRYING [7]
% 6.68/2.62 % (3413264)Instruction limit reached!
% 6.68/2.62 % (3413264)------------------------------
% 6.68/2.62 % (3413264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413264)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413264)Termination reason: Instruction limit
% 6.68/2.62 % (3413264)Termination phase: Saturation
% 6.68/2.62 % (3413264)Time elapsed: 0.461 s
% 6.68/2.62 % (3413264)Peak memory usage: 20 MB
% 6.68/2.62 % (3413264)Instructions burned: 880 (million)
% 6.68/2.62 % TRYING [6]
% 6.68/2.62 % (3413270)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=80254158:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 6.68/2.62 % TRYING [8]
% 6.68/2.62 % (3413258)Instruction limit reached!
% 6.68/2.62 % (3413258)------------------------------
% 6.68/2.62 % (3413258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413258)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413258)Termination reason: Instruction limit
% 6.68/2.62 % (3413258)Termination phase: Saturation
% 6.68/2.62 % (3413258)Time elapsed: 0.639 s
% 6.68/2.62 % (3413258)Peak memory usage: 20 MB
% 6.68/2.62 % (3413258)Instructions burned: 1179 (million)
% 6.68/2.62 % (3413272)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2367045759:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 6.68/2.62 % (3413270)Instruction limit reached!
% 6.68/2.62 % (3413270)------------------------------
% 6.68/2.62 % (3413270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413270)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413270)Termination reason: Instruction limit
% 6.68/2.62 % (3413270)Termination phase: Finite model building SAT solving
% 6.68/2.62 % (3413270)Time elapsed: 0.368 s
% 6.68/2.62 % (3413270)Peak memory usage: 65 MB
% 6.68/2.62 % (3413270)Instructions burned: 923 (million)
% 6.68/2.62 % (3413274)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3422768915:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 6.68/2.62 % TRYING [7]
% 6.68/2.62 % (3413234) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3413227-3413234"...
% 6.68/2.62 % (3413234)...printing done.
% 6.68/2.62 % (3413234)Refutation found. Thanks to Tanya!
% 6.68/2.62 % SZS status Theorem for theBenchmark
% 6.68/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 6.68/2.62 % (3413234)------------------------------
% 6.68/2.62 % (3413234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/2.62 % (3413234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.62 % (3413234)CaDiCaL version: 2.1.3
% 6.68/2.62 % (3413234)Termination reason: Refutation
% 6.68/2.62 % (3413234)Time elapsed: 2.152 s
% 6.68/2.62 % (3413234)Peak memory usage: 67 MB
% 6.68/2.62 % (3413234)Instructions burned: 8078 (million)
% 6.68/2.62 % (3413227)Success in time 2.193 s
% 6.68/2.62 % Vampire exiting
%------------------------------------------------------------------------------