%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL042+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:34:38 PM UTC 2026
% Result : Theorem 22.27s 8.33s
% Output : Refutation 22.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 18
% Syntax : Number of formulae : 193 ( 189 unt; 3 def)
% Number of atoms : 197 ( 196 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 232 ( 231 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).
fof(f14,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+1.ax',dedekind_law) ).
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/sandbox/benchmark/Axioms/REL001+1.ax',modular_law_2) ).
fof(f17,conjecture,
! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero
=> join(composition(converse(X0),X0),one) = one ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0] :
( one != join(composition(converse(X0),X0),one)
& ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( one != join(composition(converse(sK0),sK0),one)
& ! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))) ),
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(f25,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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(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(f34,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(cnf_transformation,[],[f14]) ).
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,
! [X1] : zero = meet(composition(sK0,X1),composition(sK0,complement(X1))),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
one != join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f40,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
inference(definition_unfolding,[],[f34,f24,f24,f24,f24,f24]) ).
fof(f42,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(f43,plain,
! [X1] : zero = complement(join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1))))),
inference(definition_unfolding,[],[f37,f24]) ).
fof(f44,definition,
sF1 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f45,plain,
converse(sK0) = sF1,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF2 = composition(sF1,sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f47,plain,
composition(sF1,sK0) = sF2,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF3 = join(sF2,one),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f49,plain,
join(sF2,one) = sF3,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
one != sF3,
inference(definition_folding,[],[f38,f49,f47,f45]) ).
fof(f51,plain,
sF3 = join(one,sF2),
inference(forward_demodulation,[],[f49,f21]) ).
fof(f72,plain,
zero = complement(join(complement(sK0),complement(composition(sK0,complement(one))))),
inference(superposition,[],[f43,f26]) ).
fof(f98,plain,
! [X0] : top = join(join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0)))),zero),
inference(superposition,[],[f32,f43]) ).
fof(f111,plain,
! [X0] : top = join(zero,join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f98,f21]) ).
fof(f135,plain,
zero = complement(top),
inference(superposition,[],[f39,f32]) ).
fof(f137,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f32,f39]) ).
fof(f144,plain,
! [X0] : top = join(zero,join(complement(X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f137,f21]) ).
fof(f157,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f144,f32]) ).
fof(f174,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f196,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f198,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f22,f21]) ).
fof(f208,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f32,f22]) ).
fof(f210,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f224,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f25,f26]) ).
fof(f240,plain,
! [X2,X3,X0,X1] : composition(join(X3,composition(X0,X1)),X2) = join(composition(X3,X2),composition(X0,composition(X1,X2))),
inference(superposition,[],[f27,f25]) ).
fof(f247,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X1,X2),composition(X0,X2)),
inference(superposition,[],[f21,f27]) ).
fof(f275,plain,
! [X0,X1] : zero = join(composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(X0)))))),zero),
inference(superposition,[],[f31,f39]) ).
fof(f284,plain,
! [X0,X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(X0))))))),
inference(forward_demodulation,[],[f275,f21]) ).
fof(f300,plain,
! [X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,top)))),
inference(forward_demodulation,[],[f284,f32]) ).
fof(f306,plain,
! [X0,X1] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1))))))) = X0,
inference(superposition,[],[f23,f43]) ).
fof(f315,plain,
! [X0,X1] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(X1),complement(complement(X1)))))) = X0,
inference(superposition,[],[f23,f39]) ).
fof(f316,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f23,f23]) ).
fof(f319,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f329,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f23,f39]) ).
fof(f330,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0)))) = join(complement(join(zero,complement(X1))),complement(join(zero,X1))),
inference(superposition,[],[f23,f43]) ).
fof(f338,plain,
! [X0] : join(complement(sK0),complement(composition(sK0,complement(one)))) = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
inference(superposition,[],[f23,f72]) ).
fof(f343,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f353,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),zero) = X0,
inference(superposition,[],[f23,f39]) ).
fof(f356,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f358,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f21,f23]) ).
fof(f359,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f356,f210]) ).
fof(f360,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f353,f21]) ).
fof(f370,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f343,f21]) ).
fof(f375,plain,
! [X0] : join(complement(sK0),complement(composition(sK0,complement(one)))) = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f338,f21]) ).
fof(f383,plain,
! [X0,X1] : join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0)))) = join(complement(join(zero,X1)),complement(join(zero,complement(X1)))),
inference(forward_demodulation,[],[f330,f21]) ).
fof(f385,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f319,f21]) ).
fof(f388,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f316,f21]) ).
fof(f389,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f315,f32]) ).
fof(f398,plain,
! [X0,X1] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1))))))) = X0,
inference(forward_demodulation,[],[f306,f21]) ).
fof(f409,plain,
! [X0] : join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0)))) = join(complement(sK0),complement(composition(sK0,complement(one)))),
inference(forward_demodulation,[],[f383,f375]) ).
fof(f410,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f388,f22]) ).
fof(f411,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f389,f21]) ).
fof(f415,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f411,f21]) ).
fof(f417,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f415,f21]) ).
fof(f418,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f417,f21]) ).
fof(f613,plain,
! [X0,X1] : complement(join(complement(complement(join(complement(X0),complement(composition(X1,converse(one)))))),complement(X1))) = join(complement(join(complement(composition(X0,one)),complement(X1))),complement(join(complement(complement(join(complement(X0),complement(composition(X1,converse(one)))))),complement(X1)))),
inference(superposition,[],[f42,f26]) ).
fof(f642,plain,
! [X0,X1] : complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one)))))))) = join(complement(join(complement(composition(X0,one)),complement(X1))),complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one))))))))),
inference(forward_demodulation,[],[f613,f21]) ).
fof(f687,plain,
! [X0,X1] : complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one)))))))) = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),complement(complement(join(complement(X0),complement(composition(X1,converse(one))))))))),
inference(forward_demodulation,[],[f642,f26]) ).
fof(f789,plain,
! [X2,X0,X1] : composition(complement(join(complement(converse(X0)),complement(composition(X1,converse(X2))))),complement(join(complement(X2),complement(composition(X0,X1))))) = join(complement(join(complement(composition(converse(X0),X2)),complement(X1))),composition(complement(join(complement(converse(X0)),complement(composition(X1,converse(X2))))),complement(join(complement(X2),complement(composition(X0,X1)))))),
inference(superposition,[],[f40,f28]) ).
fof(f1073,plain,
! [X0] : join(complement(sK0),complement(composition(sK0,complement(one)))) = join(complement(join(zero,zero)),complement(join(zero,join(complement(composition(sK0,X0)),complement(composition(sK0,complement(X0))))))),
inference(superposition,[],[f398,f72]) ).
fof(f1074,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(join(zero,zero)),complement(join(zero,join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1))))))),
inference(superposition,[],[f398,f39]) ).
fof(f1107,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = join(complement(join(zero,zero)),complement(top)),
inference(forward_demodulation,[],[f1074,f111]) ).
fof(f1108,plain,
join(complement(sK0),complement(composition(sK0,complement(one)))) = join(complement(join(zero,zero)),complement(top)),
inference(forward_demodulation,[],[f1073,f111]) ).
fof(f1131,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = join(complement(top),complement(join(zero,zero))),
inference(forward_demodulation,[],[f1107,f21]) ).
fof(f1132,plain,
join(complement(sK0),complement(composition(sK0,complement(one)))) = join(complement(top),complement(join(zero,zero))),
inference(forward_demodulation,[],[f1108,f21]) ).
fof(f1148,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = join(zero,complement(join(zero,zero))),
inference(forward_demodulation,[],[f1131,f135]) ).
fof(f1149,plain,
join(complement(sK0),complement(composition(sK0,complement(one)))) = join(zero,complement(join(zero,zero))),
inference(forward_demodulation,[],[f1132,f135]) ).
fof(f1164,plain,
top = join(zero,complement(join(zero,zero))),
inference(forward_demodulation,[],[f1148,f32]) ).
fof(f1190,plain,
! [X0] : join(top,X0) = join(zero,join(complement(join(zero,zero)),X0)),
inference(superposition,[],[f22,f1164]) ).
fof(f1305,plain,
join(zero,top) = join(top,complement(complement(join(zero,zero)))),
inference(superposition,[],[f1190,f32]) ).
fof(f1307,plain,
! [X0] : join(top,X0) = join(zero,join(X0,complement(join(zero,zero)))),
inference(superposition,[],[f1190,f21]) ).
fof(f1310,plain,
top = join(top,complement(complement(join(zero,zero)))),
inference(forward_demodulation,[],[f1305,f157]) ).
fof(f1363,plain,
! [X0] : join(top,X0) = join(top,join(complement(complement(join(zero,zero))),X0)),
inference(superposition,[],[f22,f1310]) ).
fof(f1426,plain,
! [X0] : join(top,X0) = join(top,join(X0,complement(complement(join(zero,zero))))),
inference(superposition,[],[f1363,f21]) ).
fof(f1601,plain,
join(top,complement(join(zero,zero))) = join(top,top),
inference(superposition,[],[f1426,f32]) ).
fof(f1632,plain,
! [X0] : join(complement(sK0),complement(composition(sK0,complement(one)))) = join(complement(composition(sK0,X0)),complement(composition(sK0,complement(composition(one,X0))))),
inference(superposition,[],[f409,f224]) ).
fof(f1633,plain,
! [X0] : join(zero,complement(join(zero,zero))) = join(complement(composition(sK0,X0)),complement(composition(sK0,complement(composition(one,X0))))),
inference(forward_demodulation,[],[f1632,f1149]) ).
fof(f1646,plain,
! [X0] : top = join(complement(composition(sK0,X0)),complement(composition(sK0,complement(composition(one,X0))))),
inference(forward_demodulation,[],[f1633,f1164]) ).
fof(f1751,plain,
! [X0] : top = join(complement(composition(sK0,composition(one,X0))),complement(composition(sK0,complement(composition(one,X0))))),
inference(superposition,[],[f1646,f224]) ).
fof(f1765,plain,
top = join(complement(sK0),complement(composition(sK0,complement(one)))),
inference(forward_demodulation,[],[f1751,f409]) ).
fof(f1847,plain,
! [X0] : join(top,X0) = join(complement(sK0),join(complement(composition(sK0,complement(one))),X0)),
inference(superposition,[],[f22,f1765]) ).
fof(f2093,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X0),complement(X1)),X0),
inference(superposition,[],[f196,f23]) ).
fof(f2102,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f196,f32]) ).
fof(f2104,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f196,f21]) ).
fof(f2119,plain,
join(top,complement(join(zero,zero))) = join(top,complement(zero)),
inference(superposition,[],[f1307,f196]) ).
fof(f2122,plain,
join(top,top) = join(top,complement(zero)),
inference(forward_demodulation,[],[f2119,f1601]) ).
fof(f2139,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f2093,f22]) ).
fof(f2158,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f2139,f210]) ).
fof(f2171,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f2158,f196]) ).
fof(f2490,plain,
! [X0,X1] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X0))),join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X1))))))),
inference(superposition,[],[f398,f329]) ).
fof(f2494,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X0))),join(complement(sK0),complement(composition(sK0,complement(one))))))),
inference(forward_demodulation,[],[f2490,f409]) ).
fof(f2502,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(composition(sK0,complement(one))),join(complement(join(complement(X0),complement(X0))),complement(sK0))))),
inference(forward_demodulation,[],[f2494,f210]) ).
fof(f2509,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(sK0),join(complement(composition(sK0,complement(one))),complement(join(complement(X0),complement(X0))))))),
inference(forward_demodulation,[],[f2502,f210]) ).
fof(f2516,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,complement(join(complement(X0),complement(X0)))))),
inference(forward_demodulation,[],[f2509,f1847]) ).
fof(f2522,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f2516,f2171]) ).
fof(f2524,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f2522,f2102]) ).
fof(f4246,plain,
zero = join(complement(top),complement(join(top,complement(zero)))),
inference(superposition,[],[f418,f32]) ).
fof(f4301,plain,
zero = join(complement(top),complement(join(top,top))),
inference(forward_demodulation,[],[f4246,f2122]) ).
fof(f4335,plain,
zero = join(complement(top),complement(top)),
inference(forward_demodulation,[],[f4301,f2524]) ).
fof(f4363,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f4335,f135]) ).
fof(f4448,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f198,f4363]) ).
fof(f6138,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f4448,f360]) ).
fof(f6322,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f329,f6138]) ).
fof(f8781,plain,
! [X0,X1] : join(X0,complement(join(complement(X1),complement(X0)))) = join(complement(join(complement(X0),complement(join(complement(X1),complement(composition(X0,converse(one))))))),complement(join(complement(X0),complement(complement(join(complement(X1),complement(composition(X0,converse(one))))))))),
inference(superposition,[],[f359,f687]) ).
fof(f8792,plain,
! [X0,X1] : join(X0,complement(join(complement(X1),complement(X0)))) = X0,
inference(forward_demodulation,[],[f8781,f358]) ).
fof(f9174,plain,
! [X0] : top = join(complement(X0),join(complement(X0),X0)),
inference(superposition,[],[f208,f6322]) ).
fof(f9256,plain,
! [X0] : top = join(X0,join(complement(X0),complement(X0))),
inference(forward_demodulation,[],[f9174,f210]) ).
fof(f9308,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f9256,f2104]) ).
fof(f9556,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f9308,f6322]) ).
fof(f9574,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f370,f9308]) ).
fof(f9576,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f208,f9308]) ).
fof(f9592,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f9574,f135]) ).
fof(f9600,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f9592,f6138]) ).
fof(f9603,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f9600,f21]) ).
fof(f9605,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f9603,f6138]) ).
fof(f9910,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f174,f9556]) ).
fof(f11158,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(superposition,[],[f6322,f9605]) ).
fof(f11641,plain,
top = converse(top),
inference(superposition,[],[f9576,f9910]) ).
fof(f12153,plain,
zero = join(zero,composition(top,complement(composition(top,top)))),
inference(superposition,[],[f300,f11641]) ).
fof(f12171,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f12153,f6138]) ).
fof(f13214,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X1),complement(join(complement(X1),join(join(X0,X0),complement(join(complement(X1),complement(X0))))))),
inference(superposition,[],[f410,f11158]) ).
fof(f13235,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f9605,f11158]) ).
fof(f13236,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f13235,f9605]) ).
fof(f13243,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X1),complement(join(complement(X1),join(X0,join(X0,complement(join(complement(X1),complement(X0)))))))),
inference(forward_demodulation,[],[f13214,f22]) ).
fof(f13317,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X1),complement(join(complement(X1),join(X0,X0)))),
inference(forward_demodulation,[],[f13243,f8792]) ).
fof(f13370,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X1),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f13317,f13236]) ).
fof(f18416,plain,
! [X0,X1] : composition(join(top,composition(X0,X1)),complement(composition(top,top))) = join(zero,composition(X0,composition(X1,complement(composition(top,top))))),
inference(superposition,[],[f240,f12171]) ).
fof(f18420,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f247,f12171]) ).
fof(f18453,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f18420,f6138]) ).
fof(f18457,plain,
! [X0,X1] : composition(X0,composition(X1,complement(composition(top,top)))) = composition(join(top,composition(X0,X1)),complement(composition(top,top))),
inference(forward_demodulation,[],[f18416,f6138]) ).
fof(f18483,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f18453,f9576]) ).
fof(f18487,plain,
! [X0,X1] : composition(top,complement(composition(top,top))) = composition(X0,composition(X1,complement(composition(top,top)))),
inference(forward_demodulation,[],[f18457,f9556]) ).
fof(f18511,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f18483,f12171]) ).
fof(f18515,plain,
! [X0,X1] : zero = composition(X0,composition(X1,complement(composition(top,top)))),
inference(forward_demodulation,[],[f18487,f12171]) ).
fof(f18539,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f18515,f18511]) ).
fof(f36619,plain,
composition(complement(join(complement(converse(sK0)),complement(composition(complement(one),converse(sK0))))),zero) = join(complement(join(complement(composition(converse(sK0),sK0)),complement(complement(one)))),composition(complement(join(complement(converse(sK0)),complement(composition(complement(one),converse(sK0))))),zero)),
inference(superposition,[],[f789,f72]) ).
fof(f36648,plain,
zero = join(complement(join(complement(composition(converse(sK0),sK0)),complement(complement(one)))),zero),
inference(forward_demodulation,[],[f36619,f18539]) ).
fof(f36749,plain,
zero = join(zero,complement(join(complement(composition(converse(sK0),sK0)),complement(complement(one))))),
inference(forward_demodulation,[],[f36648,f21]) ).
fof(f36834,plain,
zero = complement(join(complement(composition(converse(sK0),sK0)),complement(complement(one)))),
inference(forward_demodulation,[],[f36749,f6138]) ).
fof(f36903,plain,
zero = complement(join(complement(complement(one)),complement(composition(converse(sK0),sK0)))),
inference(forward_demodulation,[],[f36834,f21]) ).
fof(f36966,plain,
zero = complement(join(complement(complement(one)),complement(composition(sF1,sK0)))),
inference(forward_demodulation,[],[f36903,f45]) ).
fof(f37022,plain,
zero = complement(join(complement(complement(one)),complement(sF2))),
inference(forward_demodulation,[],[f36966,f47]) ).
fof(f37075,plain,
zero = complement(join(complement(sF2),complement(complement(one)))),
inference(forward_demodulation,[],[f37022,f21]) ).
fof(f37117,plain,
zero = complement(join(complement(sF2),one)),
inference(forward_demodulation,[],[f37075,f9605]) ).
fof(f37152,plain,
zero = complement(join(one,complement(sF2))),
inference(forward_demodulation,[],[f37117,f21]) ).
fof(f37205,plain,
sF2 = join(zero,complement(join(complement(sF2),complement(one)))),
inference(superposition,[],[f370,f37152]) ).
fof(f37446,plain,
sF2 = complement(join(complement(sF2),complement(one))),
inference(forward_demodulation,[],[f37205,f6138]) ).
fof(f37553,plain,
sF2 = complement(join(complement(one),complement(sF2))),
inference(forward_demodulation,[],[f37446,f21]) ).
fof(f39771,plain,
complement(sF2) = join(complement(one),complement(sF2)),
inference(superposition,[],[f9605,f37553]) ).
fof(f48799,plain,
one = join(complement(complement(sF2)),complement(join(complement(complement(sF2)),complement(one)))),
inference(superposition,[],[f385,f39771]) ).
fof(f48815,plain,
one = join(complement(complement(sF2)),complement(complement(one))),
inference(forward_demodulation,[],[f48799,f13370]) ).
fof(f48830,plain,
one = join(complement(complement(one)),complement(complement(sF2))),
inference(forward_demodulation,[],[f48815,f21]) ).
fof(f48844,plain,
one = join(complement(complement(one)),sF2),
inference(forward_demodulation,[],[f48830,f9605]) ).
fof(f48854,plain,
one = join(sF2,complement(complement(one))),
inference(forward_demodulation,[],[f48844,f21]) ).
fof(f48860,plain,
one = join(sF2,one),
inference(forward_demodulation,[],[f48854,f9605]) ).
fof(f48864,plain,
one = join(one,sF2),
inference(forward_demodulation,[],[f48860,f21]) ).
fof(f49691,plain,
one = sF3,
inference(superposition,[],[f51,f48864]) ).
fof(f49699,plain,
$false,
inference(forward_subsumption_resolution,[],[f49691,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL042+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n014.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 22:56:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.79/3.58 % (1265629)Will run a generic schedule for satisfiability detection.
% 21.79/3.58 % (1265634)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2836210155_2999 on theBenchmark for (2999ds/0Mi)
% 21.79/3.58 % (1265635)% WARNING: option uhcvi not known.
% 21.79/3.58 % TRYING [1]
% 21.79/3.58 % TRYING [2]
% 21.79/3.58 % (1265635)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=99385791:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 21.79/3.58 % (1265636)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2395614739:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 21.79/3.58 % (1265637)dis+10_1_sil=32000:sp=arity:random_seed=3474558910:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 21.79/3.58 % (1265638)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3840054164:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 21.79/3.58 % TRYING [3]
% 21.79/3.58 % (1265639)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=613956125:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 21.79/3.58 % (1265640)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1353328506:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 21.79/3.58 % TRYING [4]
% 21.79/3.58 % (1265637)Instruction limit reached!
% 21.79/3.58 % (1265637)------------------------------
% 21.79/3.58 % (1265637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.58 % (1265637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.58 % (1265637)CaDiCaL version: 2.1.3
% 21.79/3.58 % (1265637)Termination reason: Instruction limit
% 21.79/3.58 % (1265637)Termination phase: Saturation
% 21.79/3.58 % (1265637)Time elapsed: 0.057 s
% 21.79/3.58 % (1265637)Peak memory usage: 12 MB
% 21.79/3.58 % (1265637)Instructions burned: 103 (million)
% 21.79/3.58 % (1265638)Instruction limit reached!
% 21.79/3.58 % (1265638)------------------------------
% 21.79/3.58 % (1265638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.58 % (1265638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.58 % (1265638)CaDiCaL version: 2.1.3
% 21.79/3.58 % (1265638)Termination reason: Instruction limit
% 21.79/3.58 % (1265638)Termination phase: Saturation
% 21.79/3.58 % (1265638)Time elapsed: 0.072 s
% 21.79/3.58 % (1265638)Peak memory usage: 13 MB
% 21.79/3.58 % (1265638)Instructions burned: 118 (million)
% 21.79/3.58 % (1265657)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=989247806:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 21.79/3.58 % (1265639)Instruction limit reached!
% 21.79/3.58 % (1265639)------------------------------
% 21.79/3.58 % (1265639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.58 % (1265639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.58 % (1265639)CaDiCaL version: 2.1.3
% 21.79/3.58 % (1265639)Termination reason: Instruction limit
% 21.79/3.58 % (1265639)Termination phase: Saturation
% 21.79/3.58 % (1265639)Time elapsed: 0.074 s
% 21.79/3.58 % (1265639)Peak memory usage: 13 MB
% 21.79/3.58 % (1265639)Instructions burned: 132 (million)
% 21.79/3.58 % TRYING [1]
% 21.79/3.58 % TRYING [2]
% 21.79/3.58 % TRYING [3]
% 21.79/3.58 % (1265663)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3331230206:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 21.79/3.58 % (1265667)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=370136612:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 21.79/3.58 % (1265640)Instruction limit reached!
% 21.79/3.58 % (1265640)------------------------------
% 21.79/3.58 % (1265640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.58 % (1265640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.58 % (1265640)CaDiCaL version: 2.1.3
% 21.79/3.58 % (1265640)Termination reason: Instruction limit
% 21.79/3.58 % (1265640)Termination phase: Saturation
% 21.79/3.58 % (1265640)Time elapsed: 0.095 s
% 21.79/3.58 % (1265640)Peak memory usage: 13 MB
% 21.79/3.58 % (1265640)Instructions burned: 160 (million)
% 21.79/3.58 % TRYING [5]
% 21.79/3.58 % (1265675)ott-21_1_sil=16000:fs=off:random_seed=3617830003:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 21.79/3.58 % TRYING [4]
% 21.79/3.58 % (1265663)Instruction limit reached!
% 21.79/3.58 % (1265663)------------------------------
% 21.79/3.58 % (1265663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265663)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265663)Termination reason: Instruction limit
% 22.27/8.33 % (1265663)Termination phase: Saturation
% 22.27/8.33 % (1265663)Time elapsed: 0.085 s
% 22.27/8.33 % (1265663)Peak memory usage: 13 MB
% 22.27/8.33 % (1265663)Instructions burned: 131 (million)
% 22.27/8.33 % (1265705)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1399685894:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 22.27/8.33 % (1265675)Instruction limit reached!
% 22.27/8.33 % (1265675)------------------------------
% 22.27/8.33 % (1265675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265675)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265675)Termination reason: Instruction limit
% 22.27/8.33 % (1265675)Termination phase: Saturation
% 22.27/8.33 % (1265675)Time elapsed: 0.085 s
% 22.27/8.33 % (1265675)Peak memory usage: 12 MB
% 22.27/8.33 % (1265675)Instructions burned: 180 (million)
% 22.27/8.33 % (1265723)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=398808970:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 22.27/8.33 % TRYING [1]
% 22.27/8.33 % TRYING [2]
% 22.27/8.33 % TRYING [3]
% 22.27/8.33 % TRYING [5]
% 22.27/8.33 % TRYING [4]
% 22.27/8.33 % (1265657)Instruction limit reached!
% 22.27/8.33 % (1265657)------------------------------
% 22.27/8.33 % (1265657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265657)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265657)Termination reason: Instruction limit
% 22.27/8.33 % (1265657)Termination phase: Finite model building constraint generation
% 22.27/8.33 % (1265657)Time elapsed: 0.292 s
% 22.27/8.33 % (1265657)Peak memory usage: 29 MB
% 22.27/8.33 % (1265657)Instructions burned: 718 (million)
% 22.27/8.33 % (1265750)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3041293118:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 22.27/8.33 % (1265667)Instruction limit reached!
% 22.27/8.33 % (1265667)------------------------------
% 22.27/8.33 % (1265667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265667)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265667)Termination reason: Instruction limit
% 22.27/8.33 % (1265667)Termination phase: Saturation
% 22.27/8.33 % (1265667)Time elapsed: 0.352 s
% 22.27/8.33 % (1265667)Peak memory usage: 16 MB
% 22.27/8.33 % (1265667)Instructions burned: 685 (million)
% 22.27/8.33 % (1265763)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3642204399:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 22.27/8.33 % (1265705)Instruction limit reached!
% 22.27/8.33 % (1265705)------------------------------
% 22.27/8.33 % (1265705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265705)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265705)Termination reason: Instruction limit
% 22.27/8.33 % (1265705)Termination phase: Saturation
% 22.27/8.33 % (1265705)Time elapsed: 0.298 s
% 22.27/8.33 % (1265705)Peak memory usage: 15 MB
% 22.27/8.33 % (1265705)Instructions burned: 478 (million)
% 22.27/8.33 % TRYING [6]
% 22.27/8.33 % (1265765)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=1196679492: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)
% 22.27/8.33 % (1265723)Instruction limit reached!
% 22.27/8.33 % (1265723)------------------------------
% 22.27/8.33 % (1265723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265723)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265723)Termination reason: Instruction limit
% 22.27/8.33 % (1265723)Termination phase: Finite model building SAT solving
% 22.27/8.33 % (1265723)Time elapsed: 0.308 s
% 22.27/8.33 % (1265723)Peak memory usage: 23 MB
% 22.27/8.33 % (1265723)Instructions burned: 869 (million)
% 22.27/8.33 % (1265767)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2353142614:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 22.27/8.33 % (1265765)Instruction limit reached!
% 22.27/8.33 % (1265765)------------------------------
% 22.27/8.33 % (1265765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265765)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265765)Termination reason: Instruction limit
% 22.27/8.33 % (1265765)Termination phase: Saturation
% 22.27/8.33 % (1265765)Time elapsed: 0.340 s
% 22.27/8.33 % (1265765)Peak memory usage: 16 MB
% 22.27/8.33 % (1265765)Instructions burned: 693 (million)
% 22.27/8.33 % (1265782)fmb+10_1_sil=64000:random_seed=732487537:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 22.27/8.33 % TRYING [1]
% 22.27/8.33 % TRYING [2]
% 22.27/8.33 % (1265763)Instruction limit reached!
% 22.27/8.33 % (1265763)------------------------------
% 22.27/8.33 % (1265763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265763)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265763)Termination reason: Instruction limit
% 22.27/8.33 % (1265763)Termination phase: Finite model building constraint generation
% 22.27/8.33 % (1265763)Time elapsed: 0.423 s
% 22.27/8.33 % (1265763)Peak memory usage: 106 MB
% 22.27/8.33 % (1265763)Instructions burned: 890 (million)
% 22.27/8.33 % TRYING [3]
% 22.27/8.33 % (1265784)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2874726863:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 22.27/8.33 % TRYING [20]
% 22.27/8.33 % TRYING [4]
% 22.27/8.33 % (1265767)Instruction limit reached!
% 22.27/8.33 % (1265767)------------------------------
% 22.27/8.33 % (1265767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265767)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265767)Termination reason: Instruction limit
% 22.27/8.33 % (1265767)Termination phase: Saturation
% 22.27/8.33 % (1265767)Time elapsed: 0.461 s
% 22.27/8.33 % (1265767)Peak memory usage: 19 MB
% 22.27/8.33 % (1265767)Instructions burned: 880 (million)
% 22.27/8.33 % (1265786)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1533053995:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 22.27/8.33 % TRYING [8]
% 22.27/8.33 % (1265750)Instruction limit reached!
% 22.27/8.33 % (1265750)------------------------------
% 22.27/8.33 % (1265750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265750)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265750)Termination reason: Instruction limit
% 22.27/8.33 % (1265750)Termination phase: Saturation
% 22.27/8.33 % (1265750)Time elapsed: 0.775 s
% 22.27/8.33 % (1265750)Peak memory usage: 24 MB
% 22.27/8.33 % (1265750)Instructions burned: 1179 (million)
% 22.27/8.33 % (1265788)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3826819228:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 22.27/8.33 % TRYING [5]
% 22.27/8.33 % (1265786)Instruction limit reached!
% 22.27/8.33 % (1265786)------------------------------
% 22.27/8.33 % (1265786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265786)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265786)Termination reason: Instruction limit
% 22.27/8.33 % (1265786)Termination phase: Finite model building constraint generation
% 22.27/8.33 % (1265786)Time elapsed: 0.449 s
% 22.27/8.33 % (1265786)Peak memory usage: 75 MB
% 22.27/8.33 % (1265786)Instructions burned: 921 (million)
% 22.27/8.33 % (1265801)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3883237281:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 22.27/8.33 % TRYING [7]
% 22.27/8.33 % (1265801)Instruction limit reached!
% 22.27/8.33 % (1265801)------------------------------
% 22.27/8.33 % (1265801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265801)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265801)Termination reason: Instruction limit
% 22.27/8.33 % (1265801)Termination phase: Saturation
% 22.27/8.33 % (1265801)Time elapsed: 1.497 s
% 22.27/8.33 % (1265801)Peak memory usage: 41 MB
% 22.27/8.33 % (1265801)Instructions burned: 1472 (million)
% 22.27/8.33 % (1265819)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4092101445:i=6324_2968 on theBenchmark for (2968ds/6324Mi)
% 22.27/8.33 % (1265819)Cannot represent all propositional literals internally
% 22.27/8.33 % (1265819)Refutation not found, incomplete strategy
% 22.27/8.33 % (1265819)------------------------------
% 22.27/8.33 % (1265819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265819)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265819)Termination reason: Refutation not found, incomplete strategy
% 22.27/8.33 % (1265819)Time elapsed: 0.013 s
% 22.27/8.33 % (1265819)Peak memory usage: 10 MB
% 22.27/8.33 % (1265819)Instructions burned: 14 (million)
% 22.27/8.33 % (1265819)------------------------------
% 22.27/8.33 % (1265819)------------------------------
% 22.27/8.33 % (1265821)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1898516390:fmbsr=2.30978:i=2174_2968 on theBenchmark for (2968ds/2174Mi)
% 22.27/8.33 % TRYING [16]
% 22.27/8.33 % TRYING [6]
% 22.27/8.33 % (1265821)Instruction limit reached!
% 22.27/8.33 % (1265821)------------------------------
% 22.27/8.33 % (1265821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265821)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265821)Termination reason: Instruction limit
% 22.27/8.33 % (1265821)Termination phase: Finite model building constraint generation
% 22.27/8.33 % (1265821)Time elapsed: 1.390 s
% 22.27/8.33 % (1265821)Peak memory usage: 132 MB
% 22.27/8.33 % (1265821)Instructions burned: 2175 (million)
% 22.27/8.33 % (1265825)ott-2_1_sil=16000:newcnf=on:random_seed=4278436166:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 22.27/8.33 % (1265825)Instruction limit reached!
% 22.27/8.33 % (1265825)------------------------------
% 22.27/8.33 % (1265825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265825)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265825)Termination reason: Instruction limit
% 22.27/8.33 % (1265825)Termination phase: Saturation
% 22.27/8.33 % (1265825)Time elapsed: 0.838 s
% 22.27/8.33 % (1265825)Peak memory usage: 20 MB
% 22.27/8.33 % (1265825)Instructions burned: 869 (million)
% 22.27/8.33 % (1265827)ott+10_1_sil=32000:tgt=ground:random_seed=4211773644:i=5114:av=off_2945 on theBenchmark for (2945ds/5114Mi)
% 22.27/8.33 % (1265788)Instruction limit reached!
% 22.27/8.33 % (1265788)------------------------------
% 22.27/8.33 % (1265788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265788)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265788)Termination reason: Instruction limit
% 22.27/8.33 % (1265788)Termination phase: Saturation
% 22.27/8.33 % (1265788)Time elapsed: 4.617 s
% 22.27/8.33 % (1265788)Peak memory usage: 55 MB
% 22.27/8.33 % (1265788)Instructions burned: 5132 (million)
% 22.27/8.33 % (1265829)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1257654278:i=54282_2941 on theBenchmark for (2941ds/54282Mi)
% 22.27/8.33 % TRYING [1]
% 22.27/8.33 % TRYING [2]
% 22.27/8.33 % TRYING [3]
% 22.27/8.33 % TRYING [4]
% 22.27/8.33 % TRYING [5]
% 22.27/8.33 % (1265784)Instruction limit reached!
% 22.27/8.33 % (1265784)------------------------------
% 22.27/8.33 % (1265784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.33 % (1265784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.33 % (1265784)CaDiCaL version: 2.1.3
% 22.27/8.33 % (1265784)Termination reason: Instruction limit
% 22.27/8.33 % (1265784)Termination phase: Finite model building constraint generation
% 22.27/8.33 % (1265784)Time elapsed: 6.096 s
% 22.27/8.33 % (1265784)Peak memory usage: 675 MB
% 22.27/8.33 % (1265784)Instructions burned: 9516 (million)
% 22.27/8.33 % (1265835)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4037186937:i=3512:aac=none_2927 on theBenchmark for (2927ds/3512Mi)
% 22.27/8.33 % TRYING [6]
% 22.27/8.33 % (1265827) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1265629-1265827"...
% 22.27/8.33 % (1265827)...printing done.
% 22.27/8.33 % (1265827)Refutation found. Thanks to Tanya!
% 22.27/8.33 % SZS status Theorem for theBenchmark
% 22.27/8.33 % SZS output start Proof for theBenchmark
% See solution above
% 22.27/8.34 % (1265827)------------------------------
% 22.27/8.34 % (1265827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.27/8.34 % (1265827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.27/8.34 % (1265827)CaDiCaL version: 2.1.3
% 22.27/8.34 % (1265827)Termination reason: Refutation
% 22.27/8.34 % (1265827)Time elapsed: 2.331 s
% 22.27/8.34 % (1265827)Peak memory usage: 34 MB
% 22.27/8.34 % (1265827)Instructions burned: 2416 (million)
% 22.27/8.34 % (1265629)Success in time 7.906 s
% 22.27/8.34 % Vampire exiting
%------------------------------------------------------------------------------