%------------------------------------------------------------------------------
% 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:38 PM UTC 2026
% Result : Unsatisfiable 32.23s 9.55s
% Output : Refutation 32.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 19
% Syntax : Number of formulae : 182 ( 182 unt; 3 def)
% Number of atoms : 182 ( 181 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 209 ( 209 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,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_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f13,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_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
fof(f17,axiom,
! [X2,X0,X1] : 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_14) ).
fof(f18,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(reorient_equations,[],[f17]) ).
fof(f21,axiom,
! [X2,X0,X1] : 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_16) ).
fof(f22,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(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
! [X0] : meet(composition(sk1,X0),composition(sk1,complement(X0))) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
! [X0] : zero = meet(composition(sk1,X0),composition(sk1,complement(X0))),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
join(composition(converse(sk1),sk1),one) != one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
one != join(composition(converse(sk1),sk1),one),
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f28,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,[],[f18,f6,f6,f6,f6,f6]) ).
fof(f30,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,[],[f22,f6,f6,f6,f6,f6]) ).
fof(f31,plain,
! [X0] : zero = complement(join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0))))),
inference(definition_unfolding,[],[f24,f6]) ).
fof(f32,definition,
sF0 = converse(sk1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
converse(sk1) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF1 = composition(sF0,sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
composition(sF0,sk1) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF2 = join(sF1,one),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f37,plain,
join(sF1,one) = sF2,
inference(reorient_equations,[],[f36]) ).
fof(f38,plain,
one != sF2,
inference(definition_folding,[],[f26,f37,f35,f33]) ).
fof(f39,plain,
sF2 = join(one,sF1),
inference(forward_demodulation,[],[f37,f1]) ).
fof(f60,plain,
zero = complement(join(complement(sk1),complement(composition(sk1,complement(one))))),
inference(superposition,[],[f31,f8]) ).
fof(f86,plain,
! [X0] : top = join(join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0)))),zero),
inference(superposition,[],[f15,f31]) ).
fof(f99,plain,
! [X0] : top = join(zero,join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f123,plain,
zero = complement(top),
inference(superposition,[],[f27,f15]) ).
fof(f125,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f15,f27]) ).
fof(f132,plain,
! [X0] : top = join(zero,join(complement(X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f125,f1]) ).
fof(f145,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f132,f15]) ).
fof(f162,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f184,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f186,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f196,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f15,f2]) ).
fof(f198,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f212,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f228,plain,
! [X2,X3,X0,X1] : composition(join(X3,composition(X0,X1)),X2) = join(composition(X3,X2),composition(X0,composition(X1,X2))),
inference(superposition,[],[f9,f7]) ).
fof(f235,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X1,X2),composition(X0,X2)),
inference(superposition,[],[f1,f9]) ).
fof(f263,plain,
! [X0,X1] : zero = join(composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(X0)))))),zero),
inference(superposition,[],[f14,f27]) ).
fof(f272,plain,
! [X0,X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(X0))))))),
inference(forward_demodulation,[],[f263,f1]) ).
fof(f288,plain,
! [X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,top)))),
inference(forward_demodulation,[],[f272,f15]) ).
fof(f294,plain,
! [X0,X1] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(composition(sk1,X1)),complement(composition(sk1,complement(X1))))))) = X0,
inference(superposition,[],[f4,f31]) ).
fof(f303,plain,
! [X0,X1] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(X1),complement(complement(X1)))))) = X0,
inference(superposition,[],[f4,f27]) ).
fof(f304,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,[],[f4,f4]) ).
fof(f307,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f317,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f4,f27]) ).
fof(f318,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0)))) = join(complement(join(zero,complement(X1))),complement(join(zero,X1))),
inference(superposition,[],[f4,f31]) ).
fof(f326,plain,
! [X0] : join(complement(sk1),complement(composition(sk1,complement(one)))) = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
inference(superposition,[],[f4,f60]) ).
fof(f331,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f341,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),zero) = X0,
inference(superposition,[],[f4,f27]) ).
fof(f344,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f346,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f347,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f344,f198]) ).
fof(f348,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f341,f1]) ).
fof(f358,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f331,f1]) ).
fof(f363,plain,
! [X0] : join(complement(sk1),complement(composition(sk1,complement(one)))) = join(complement(join(zero,X0)),complement(join(zero,complement(X0)))),
inference(forward_demodulation,[],[f326,f1]) ).
fof(f371,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0)))) = join(complement(join(zero,X1)),complement(join(zero,complement(X1)))),
inference(forward_demodulation,[],[f318,f1]) ).
fof(f373,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f307,f1]) ).
fof(f376,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,[],[f304,f1]) ).
fof(f377,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f303,f15]) ).
fof(f386,plain,
! [X0,X1] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),join(complement(composition(sk1,X1)),complement(composition(sk1,complement(X1))))))) = X0,
inference(forward_demodulation,[],[f294,f1]) ).
fof(f397,plain,
! [X0] : join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0)))) = join(complement(sk1),complement(composition(sk1,complement(one)))),
inference(forward_demodulation,[],[f371,f363]) ).
fof(f398,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,[],[f376,f2]) ).
fof(f399,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f377,f1]) ).
fof(f403,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f399,f1]) ).
fof(f405,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f403,f1]) ).
fof(f406,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f405,f1]) ).
fof(f601,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,[],[f30,f8]) ).
fof(f630,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,[],[f601,f1]) ).
fof(f675,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,[],[f630,f8]) ).
fof(f777,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,[],[f28,f10]) ).
fof(f1061,plain,
! [X0] : join(complement(sk1),complement(composition(sk1,complement(one)))) = join(complement(join(zero,zero)),complement(join(zero,join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0))))))),
inference(superposition,[],[f386,f60]) ).
fof(f1062,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(join(zero,zero)),complement(join(zero,join(complement(composition(sk1,X1)),complement(composition(sk1,complement(X1))))))),
inference(superposition,[],[f386,f27]) ).
fof(f1095,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = join(complement(join(zero,zero)),complement(top)),
inference(forward_demodulation,[],[f1062,f99]) ).
fof(f1096,plain,
join(complement(sk1),complement(composition(sk1,complement(one)))) = join(complement(join(zero,zero)),complement(top)),
inference(forward_demodulation,[],[f1061,f99]) ).
fof(f1119,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = join(complement(top),complement(join(zero,zero))),
inference(forward_demodulation,[],[f1095,f1]) ).
fof(f1120,plain,
join(complement(sk1),complement(composition(sk1,complement(one)))) = join(complement(top),complement(join(zero,zero))),
inference(forward_demodulation,[],[f1096,f1]) ).
fof(f1136,plain,
! [X0] : join(complement(X0),complement(complement(X0))) = join(zero,complement(join(zero,zero))),
inference(forward_demodulation,[],[f1119,f123]) ).
fof(f1137,plain,
join(complement(sk1),complement(composition(sk1,complement(one)))) = join(zero,complement(join(zero,zero))),
inference(forward_demodulation,[],[f1120,f123]) ).
fof(f1152,plain,
top = join(zero,complement(join(zero,zero))),
inference(forward_demodulation,[],[f1136,f15]) ).
fof(f1178,plain,
! [X0] : join(top,X0) = join(zero,join(complement(join(zero,zero)),X0)),
inference(superposition,[],[f2,f1152]) ).
fof(f1293,plain,
join(zero,top) = join(top,complement(complement(join(zero,zero)))),
inference(superposition,[],[f1178,f15]) ).
fof(f1295,plain,
! [X0] : join(top,X0) = join(zero,join(X0,complement(join(zero,zero)))),
inference(superposition,[],[f1178,f1]) ).
fof(f1298,plain,
top = join(top,complement(complement(join(zero,zero)))),
inference(forward_demodulation,[],[f1293,f145]) ).
fof(f1351,plain,
! [X0] : join(top,X0) = join(top,join(complement(complement(join(zero,zero))),X0)),
inference(superposition,[],[f2,f1298]) ).
fof(f1414,plain,
! [X0] : join(top,X0) = join(top,join(X0,complement(complement(join(zero,zero))))),
inference(superposition,[],[f1351,f1]) ).
fof(f1589,plain,
join(top,complement(join(zero,zero))) = join(top,top),
inference(superposition,[],[f1414,f15]) ).
fof(f1620,plain,
! [X0] : join(complement(sk1),complement(composition(sk1,complement(one)))) = join(complement(composition(sk1,X0)),complement(composition(sk1,complement(composition(one,X0))))),
inference(superposition,[],[f397,f212]) ).
fof(f1621,plain,
! [X0] : join(zero,complement(join(zero,zero))) = join(complement(composition(sk1,X0)),complement(composition(sk1,complement(composition(one,X0))))),
inference(forward_demodulation,[],[f1620,f1137]) ).
fof(f1634,plain,
! [X0] : top = join(complement(composition(sk1,X0)),complement(composition(sk1,complement(composition(one,X0))))),
inference(forward_demodulation,[],[f1621,f1152]) ).
fof(f1739,plain,
! [X0] : top = join(complement(composition(sk1,composition(one,X0))),complement(composition(sk1,complement(composition(one,X0))))),
inference(superposition,[],[f1634,f212]) ).
fof(f1753,plain,
top = join(complement(sk1),complement(composition(sk1,complement(one)))),
inference(forward_demodulation,[],[f1739,f397]) ).
fof(f1835,plain,
! [X0] : join(top,X0) = join(complement(sk1),join(complement(composition(sk1,complement(one))),X0)),
inference(superposition,[],[f2,f1753]) ).
fof(f2081,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X0),complement(X1)),X0),
inference(superposition,[],[f184,f4]) ).
fof(f2090,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f184,f15]) ).
fof(f2092,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f184,f1]) ).
fof(f2107,plain,
join(top,complement(join(zero,zero))) = join(top,complement(zero)),
inference(superposition,[],[f1295,f184]) ).
fof(f2110,plain,
join(top,top) = join(top,complement(zero)),
inference(forward_demodulation,[],[f2107,f1589]) ).
fof(f2127,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f2081,f2]) ).
fof(f2146,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f2127,f198]) ).
fof(f2159,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f2146,f184]) ).
fof(f2478,plain,
! [X0,X1] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X0))),join(complement(composition(sk1,X1)),complement(composition(sk1,complement(X1))))))),
inference(superposition,[],[f386,f317]) ).
fof(f2482,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X0))),join(complement(sk1),complement(composition(sk1,complement(one))))))),
inference(forward_demodulation,[],[f2478,f397]) ).
fof(f2490,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(composition(sk1,complement(one))),join(complement(join(complement(X0),complement(X0))),complement(sk1))))),
inference(forward_demodulation,[],[f2482,f198]) ).
fof(f2497,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(complement(sk1),join(complement(composition(sk1,complement(one))),complement(join(complement(X0),complement(X0))))))),
inference(forward_demodulation,[],[f2490,f198]) ).
fof(f2504,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,complement(join(complement(X0),complement(X0)))))),
inference(forward_demodulation,[],[f2497,f1835]) ).
fof(f2510,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f2504,f2159]) ).
fof(f2512,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f2510,f2090]) ).
fof(f4234,plain,
zero = join(complement(top),complement(join(top,complement(zero)))),
inference(superposition,[],[f406,f15]) ).
fof(f4289,plain,
zero = join(complement(top),complement(join(top,top))),
inference(forward_demodulation,[],[f4234,f2110]) ).
fof(f4323,plain,
zero = join(complement(top),complement(top)),
inference(forward_demodulation,[],[f4289,f2512]) ).
fof(f4351,plain,
zero = join(zero,zero),
inference(forward_demodulation,[],[f4323,f123]) ).
fof(f4436,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(superposition,[],[f186,f4351]) ).
fof(f6126,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f4436,f348]) ).
fof(f6310,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f317,f6126]) ).
fof(f8769,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,[],[f347,f675]) ).
fof(f8780,plain,
! [X0,X1] : join(X0,complement(join(complement(X1),complement(X0)))) = X0,
inference(forward_demodulation,[],[f8769,f346]) ).
fof(f9162,plain,
! [X0] : top = join(complement(X0),join(complement(X0),X0)),
inference(superposition,[],[f196,f6310]) ).
fof(f9244,plain,
! [X0] : top = join(X0,join(complement(X0),complement(X0))),
inference(forward_demodulation,[],[f9162,f198]) ).
fof(f9296,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f9244,f2092]) ).
fof(f9544,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f9296,f6310]) ).
fof(f9562,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(superposition,[],[f358,f9296]) ).
fof(f9564,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f196,f9296]) ).
fof(f9580,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f9562,f123]) ).
fof(f9588,plain,
! [X0] : complement(join(complement(X0),zero)) = X0,
inference(forward_demodulation,[],[f9580,f6126]) ).
fof(f9591,plain,
! [X0] : complement(join(zero,complement(X0))) = X0,
inference(forward_demodulation,[],[f9588,f1]) ).
fof(f9593,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f9591,f6126]) ).
fof(f9898,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f162,f9544]) ).
fof(f11146,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(superposition,[],[f6310,f9593]) ).
fof(f11629,plain,
top = converse(top),
inference(superposition,[],[f9564,f9898]) ).
fof(f12141,plain,
zero = join(zero,composition(top,complement(composition(top,top)))),
inference(superposition,[],[f288,f11629]) ).
fof(f12159,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f12141,f6126]) ).
fof(f13202,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,[],[f398,f11146]) ).
fof(f13223,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f9593,f11146]) ).
fof(f13224,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f13223,f9593]) ).
fof(f13231,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,[],[f13202,f2]) ).
fof(f13305,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X1),complement(join(complement(X1),join(X0,X0)))),
inference(forward_demodulation,[],[f13231,f8780]) ).
fof(f13358,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X1),complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f13305,f13224]) ).
fof(f18404,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,[],[f228,f12159]) ).
fof(f18408,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f235,f12159]) ).
fof(f18441,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f18408,f6126]) ).
fof(f18445,plain,
! [X0,X1] : composition(X0,composition(X1,complement(composition(top,top)))) = composition(join(top,composition(X0,X1)),complement(composition(top,top))),
inference(forward_demodulation,[],[f18404,f6126]) ).
fof(f18471,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f18441,f9564]) ).
fof(f18475,plain,
! [X0,X1] : composition(top,complement(composition(top,top))) = composition(X0,composition(X1,complement(composition(top,top)))),
inference(forward_demodulation,[],[f18445,f9544]) ).
fof(f18499,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f18471,f12159]) ).
fof(f18503,plain,
! [X0,X1] : zero = composition(X0,composition(X1,complement(composition(top,top)))),
inference(forward_demodulation,[],[f18475,f12159]) ).
fof(f18527,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f18503,f18499]) ).
fof(f36607,plain,
composition(complement(join(complement(converse(sk1)),complement(composition(complement(one),converse(sk1))))),zero) = join(complement(join(complement(composition(converse(sk1),sk1)),complement(complement(one)))),composition(complement(join(complement(converse(sk1)),complement(composition(complement(one),converse(sk1))))),zero)),
inference(superposition,[],[f777,f60]) ).
fof(f36636,plain,
zero = join(complement(join(complement(composition(converse(sk1),sk1)),complement(complement(one)))),zero),
inference(forward_demodulation,[],[f36607,f18527]) ).
fof(f36737,plain,
zero = join(zero,complement(join(complement(composition(converse(sk1),sk1)),complement(complement(one))))),
inference(forward_demodulation,[],[f36636,f1]) ).
fof(f36822,plain,
zero = complement(join(complement(composition(converse(sk1),sk1)),complement(complement(one)))),
inference(forward_demodulation,[],[f36737,f6126]) ).
fof(f36891,plain,
zero = complement(join(complement(complement(one)),complement(composition(converse(sk1),sk1)))),
inference(forward_demodulation,[],[f36822,f1]) ).
fof(f36954,plain,
zero = complement(join(complement(complement(one)),complement(composition(sF0,sk1)))),
inference(forward_demodulation,[],[f36891,f33]) ).
fof(f37010,plain,
zero = complement(join(complement(complement(one)),complement(sF1))),
inference(forward_demodulation,[],[f36954,f35]) ).
fof(f37063,plain,
zero = complement(join(complement(sF1),complement(complement(one)))),
inference(forward_demodulation,[],[f37010,f1]) ).
fof(f37105,plain,
zero = complement(join(complement(sF1),one)),
inference(forward_demodulation,[],[f37063,f9593]) ).
fof(f37140,plain,
zero = complement(join(one,complement(sF1))),
inference(forward_demodulation,[],[f37105,f1]) ).
fof(f37193,plain,
sF1 = join(zero,complement(join(complement(sF1),complement(one)))),
inference(superposition,[],[f358,f37140]) ).
fof(f37434,plain,
sF1 = complement(join(complement(sF1),complement(one))),
inference(forward_demodulation,[],[f37193,f6126]) ).
fof(f37541,plain,
sF1 = complement(join(complement(one),complement(sF1))),
inference(forward_demodulation,[],[f37434,f1]) ).
fof(f39759,plain,
complement(sF1) = join(complement(one),complement(sF1)),
inference(superposition,[],[f9593,f37541]) ).
fof(f48787,plain,
one = join(complement(complement(sF1)),complement(join(complement(complement(sF1)),complement(one)))),
inference(superposition,[],[f373,f39759]) ).
fof(f48803,plain,
one = join(complement(complement(sF1)),complement(complement(one))),
inference(forward_demodulation,[],[f48787,f13358]) ).
fof(f48818,plain,
one = join(complement(complement(one)),complement(complement(sF1))),
inference(forward_demodulation,[],[f48803,f1]) ).
fof(f48832,plain,
one = join(complement(complement(one)),sF1),
inference(forward_demodulation,[],[f48818,f9593]) ).
fof(f48842,plain,
one = join(sF1,complement(complement(one))),
inference(forward_demodulation,[],[f48832,f1]) ).
fof(f48848,plain,
one = join(sF1,one),
inference(forward_demodulation,[],[f48842,f9593]) ).
fof(f48852,plain,
one = join(one,sF1),
inference(forward_demodulation,[],[f48848,f1]) ).
fof(f49679,plain,
one = sF2,
inference(superposition,[],[f39,f48852]) ).
fof(f49687,plain,
$false,
inference(forward_subsumption_resolution,[],[f49679,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % 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
% 0.07/0.35 % Computer : n018.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 22:58:54 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 28.77/4.59 % (2828642)Will run a generic schedule for satisfiability detection.
% 28.77/4.59 % (2828652)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2742474442:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 28.77/4.59 % (2828648)% WARNING: option uhcvi not known.
% 28.77/4.59 % (2828649)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2286818589:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 28.77/4.59 % (2828648)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4161626701:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 28.77/4.59 % (2828647)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2396054544_2999 on theBenchmark for (2999ds/0Mi)
% 28.77/4.59 % (2828651)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2271801890:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 28.77/4.59 % (2828653)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2151760655:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 28.77/4.59 % TRYING [1]
% 28.77/4.59 % TRYING [2]
% 28.77/4.59 % TRYING [3]
% 28.77/4.59 % (2828650)dis+10_1_sil=32000:sp=arity:random_seed=1006534583:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 28.77/4.59 % (2828652)Instruction limit reached!
% 28.77/4.59 % (2828652)------------------------------
% 28.77/4.59 % (2828652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.77/4.59 % (2828652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.77/4.59 % (2828652)CaDiCaL version: 2.1.3
% 28.77/4.59 % (2828652)Termination reason: Instruction limit
% 28.77/4.59 % (2828652)Termination phase: Saturation
% 28.77/4.59 % (2828652)Time elapsed: 0.066 s
% 28.77/4.59 % (2828652)Peak memory usage: 13 MB
% 28.77/4.59 % (2828652)Instructions burned: 132 (million)
% 28.77/4.59 % (2828661)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1295073325:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 28.77/4.59 % TRYING [4]
% 28.77/4.59 % TRYING [1]
% 28.77/4.59 % TRYING [2]
% 28.77/4.59 % TRYING [3]
% 28.77/4.59 % (2828651)Instruction limit reached!
% 28.77/4.59 % (2828651)------------------------------
% 28.77/4.59 % (2828651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.77/4.59 % (2828651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.77/4.59 % (2828651)CaDiCaL version: 2.1.3
% 28.77/4.59 % (2828651)Termination reason: Instruction limit
% 28.77/4.59 % (2828651)Termination phase: Saturation
% 28.77/4.59 % (2828651)Time elapsed: 0.116 s
% 28.77/4.59 % (2828651)Peak memory usage: 12 MB
% 28.77/4.59 % (2828651)Instructions burned: 116 (million)
% 28.77/4.59 % TRYING [4]
% 28.77/4.59 % (2828650)Instruction limit reached!
% 28.77/4.59 % (2828650)------------------------------
% 28.77/4.59 % (2828650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.77/4.59 % (2828650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.77/4.59 % (2828650)CaDiCaL version: 2.1.3
% 28.77/4.59 % (2828650)Termination reason: Instruction limit
% 28.77/4.59 % (2828650)Termination phase: Saturation
% 28.77/4.59 % (2828650)Time elapsed: 0.116 s
% 28.77/4.59 % (2828650)Peak memory usage: 12 MB
% 28.77/4.59 % (2828650)Instructions burned: 103 (million)
% 28.77/4.59 % (2828653)Instruction limit reached!
% 28.77/4.59 % (2828653)------------------------------
% 28.77/4.59 % (2828653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.77/4.59 % (2828653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.77/4.59 % (2828653)CaDiCaL version: 2.1.3
% 28.77/4.59 % (2828653)Termination reason: Instruction limit
% 28.77/4.59 % (2828653)Termination phase: Saturation
% 28.77/4.59 % (2828653)Time elapsed: 0.152 s
% 28.77/4.59 % (2828653)Peak memory usage: 13 MB
% 28.77/4.59 % (2828653)Instructions burned: 159 (million)
% 28.77/4.59 % (2828663)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=120398857:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 28.77/4.59 % (2828664)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=2517068524:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 28.77/4.59 % (2828665)ott-21_1_sil=16000:fs=off:random_seed=4033059031:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 28.77/4.59 % TRYING [5]
% 28.77/4.59 % (2828663)Instruction limit reached!
% 28.77/4.59 % (2828663)------------------------------
% 28.77/4.59 % (2828663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.77/8.60 % (2828663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.77/8.60 % (2828663)CaDiCaL version: 2.1.3
% 56.77/8.60 % (2828663)Termination reason: Instruction limit
% 56.77/8.60 % (2828663)Termination phase: Saturation
% 56.77/8.60 % (2828663)Time elapsed: 0.143 s
% 56.77/8.60 % (2828663)Peak memory usage: 13 MB
% 56.77/8.60 % (2828663)Instructions burned: 131 (million)
% 56.77/8.60 % (2828669)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2542183683:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 56.77/8.60 % (2828665)Instruction limit reached!
% 56.77/8.60 % (2828665)------------------------------
% 56.77/8.60 % (2828665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.77/8.60 % (2828665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.77/8.60 % (2828665)CaDiCaL version: 2.1.3
% 56.77/8.60 % (2828665)Termination reason: Instruction limit
% 56.77/8.60 % (2828665)Termination phase: Saturation
% 56.77/8.60 % (2828665)Time elapsed: 0.166 s
% 56.77/8.60 % (2828665)Peak memory usage: 12 MB
% 56.77/8.60 % (2828665)Instructions burned: 181 (million)
% 56.77/8.60 % (2828661)Instruction limit reached!
% 56.77/8.60 % (2828661)------------------------------
% 56.77/8.60 % (2828661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.77/8.60 % (2828661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.77/8.60 % (2828661)CaDiCaL version: 2.1.3
% 56.77/8.60 % (2828661)Termination reason: Instruction limit
% 56.77/8.60 % (2828661)Termination phase: Finite model building constraint generation
% 56.77/8.60 % (2828661)Time elapsed: 0.289 s
% 56.77/8.60 % (2828661)Peak memory usage: 29 MB
% 56.77/8.60 % (2828661)Instructions burned: 714 (million)
% 56.77/8.60 % TRYING [5]
% 56.77/8.60 % (2828672)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=400789501:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 56.77/8.60 % (2828671)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2780864048:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 56.77/8.60 % TRYING [1]
% 56.77/8.60 % TRYING [2]
% 56.77/8.60 % TRYING [3]
% 56.77/8.60 % TRYING [4]
% 56.77/8.60 % (2828664)Instruction limit reached!
% 56.77/8.60 % (2828664)------------------------------
% 56.77/8.60 % (2828664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.77/8.60 % (2828664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.77/8.60 % (2828664)CaDiCaL version: 2.1.3
% 56.77/8.60 % (2828664)Termination reason: Instruction limit
% 56.77/8.60 % (2828664)Termination phase: Saturation
% 56.77/8.60 % (2828664)Time elapsed: 0.602 s
% 56.77/8.60 % (2828664)Peak memory usage: 16 MB
% 56.77/8.60 % (2828664)Instructions burned: 685 (million)
% 56.77/8.60 % (2828669)Instruction limit reached!
% 56.77/8.60 % (2828669)------------------------------
% 56.77/8.60 % (2828669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.77/8.60 % (2828669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.77/8.60 % (2828669)CaDiCaL version: 2.1.3
% 56.77/8.60 % (2828669)Termination reason: Instruction limit
% 56.77/8.60 % (2828669)Termination phase: Saturation
% 56.77/8.60 % (2828669)Time elapsed: 0.457 s
% 56.77/8.60 % (2828669)Peak memory usage: 15 MB
% 56.77/8.60 % (2828669)Instructions burned: 478 (million)
% 56.77/8.60 % (2828675)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2459781693:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 56.77/8.60 % (2828676)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=3385169809:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 56.77/8.60 % (2828671)Instruction limit reached!
% 56.77/8.60 % (2828671)------------------------------
% 56.77/8.60 % (2828671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.77/8.60 % (2828671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.77/8.60 % (2828671)CaDiCaL version: 2.1.3
% 56.77/8.60 % (2828671)Termination reason: Instruction limit
% 56.77/8.60 % (2828671)Termination phase: Finite model building SAT solving
% 56.77/8.60 % (2828671)Time elapsed: 0.551 s
% 56.77/8.60 % (2828671)Peak memory usage: 23 MB
% 56.77/8.60 % (2828671)Instructions burned: 866 (million)
% 56.77/8.60 % (2828672)Instruction limit reached!
% 56.77/8.60 % (2828672)------------------------------
% 56.77/8.60 % (2828672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.77/8.60 % (2828672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828672)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828672)Termination reason: Instruction limit
% 32.23/9.55 % (2828672)Termination phase: Saturation
% 32.23/9.55 % (2828672)Time elapsed: 0.625 s
% 32.23/9.55 % (2828672)Peak memory usage: 24 MB
% 32.23/9.55 % (2828672)Instructions burned: 1179 (million)
% 32.23/9.55 % (2828679)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3586645211:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 32.23/9.55 % (2828681)fmb+10_1_sil=64000:random_seed=1364911155:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 32.23/9.55 % TRYING [1]
% 32.23/9.55 % TRYING [2]
% 32.23/9.55 % TRYING [3]
% 32.23/9.55 % TRYING [4]
% 32.23/9.55 % TRYING [5]
% 32.23/9.55 % (2828676)Instruction limit reached!
% 32.23/9.55 % (2828676)------------------------------
% 32.23/9.55 % (2828676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828676)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828676)Termination reason: Instruction limit
% 32.23/9.55 % (2828676)Termination phase: Saturation
% 32.23/9.55 % (2828676)Time elapsed: 0.603 s
% 32.23/9.55 % (2828676)Peak memory usage: 16 MB
% 32.23/9.55 % (2828676)Instructions burned: 692 (million)
% 32.23/9.55 % (2828683)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3709954687:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 32.23/9.55 % TRYING [20]
% 32.23/9.55 % TRYING [6]
% 32.23/9.55 % (2828675)Instruction limit reached!
% 32.23/9.55 % (2828675)------------------------------
% 32.23/9.55 % (2828675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828675)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828675)Termination reason: Instruction limit
% 32.23/9.55 % (2828675)Termination phase: Finite model building constraint generation
% 32.23/9.55 % (2828675)Time elapsed: 0.813 s
% 32.23/9.55 % (2828675)Peak memory usage: 102 MB
% 32.23/9.55 % (2828675)Instructions burned: 890 (million)
% 32.23/9.55 % (2828685)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2795934049:fmbsr=1.7:i=920_2982 on theBenchmark for (2982ds/920Mi)
% 32.23/9.55 % TRYING [8]
% 32.23/9.55 % (2828679)Instruction limit reached!
% 32.23/9.55 % (2828679)------------------------------
% 32.23/9.55 % (2828679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828679)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828679)Termination reason: Instruction limit
% 32.23/9.55 % (2828679)Termination phase: Saturation
% 32.23/9.55 % (2828679)Time elapsed: 0.796 s
% 32.23/9.55 % (2828679)Peak memory usage: 18 MB
% 32.23/9.55 % (2828679)Instructions burned: 880 (million)
% 32.23/9.55 % (2828687)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=121773949:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 32.23/9.55 % (2828685)Instruction limit reached!
% 32.23/9.55 % (2828685)------------------------------
% 32.23/9.55 % (2828685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828685)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828685)Termination reason: Instruction limit
% 32.23/9.55 % (2828685)Termination phase: Finite model building constraint generation
% 32.23/9.55 % (2828685)Time elapsed: 0.636 s
% 32.23/9.55 % (2828685)Peak memory usage: 74 MB
% 32.23/9.55 % (2828685)Instructions burned: 922 (million)
% 32.23/9.55 % (2828689)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3834147898:i=1472:ins=7:fdi=8:gsp=on_2975 on theBenchmark for (2975ds/1472Mi)
% 32.23/9.55 % TRYING [6]
% 32.23/9.55 % (2828689)Instruction limit reached!
% 32.23/9.55 % (2828689)------------------------------
% 32.23/9.55 % (2828689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828689)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828689)Termination reason: Instruction limit
% 32.23/9.55 % (2828689)Termination phase: Saturation
% 32.23/9.55 % (2828689)Time elapsed: 1.575 s
% 32.23/9.55 % (2828689)Peak memory usage: 41 MB
% 32.23/9.55 % (2828689)Instructions burned: 1472 (million)
% 32.23/9.55 % (2828691)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1452835020:i=6324_2959 on theBenchmark for (2959ds/6324Mi)
% 32.23/9.55 % (2828691)Cannot represent all propositional literals internally
% 32.23/9.55 % (2828691)Refutation not found, incomplete strategy
% 32.23/9.55 % (2828691)------------------------------
% 32.23/9.55 % (2828691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828691)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828691)Termination reason: Refutation not found, incomplete strategy
% 32.23/9.55 % (2828691)Time elapsed: 0.015 s
% 32.23/9.55 % (2828691)Peak memory usage: 10 MB
% 32.23/9.55 % (2828691)Instructions burned: 14 (million)
% 32.23/9.55 % (2828691)------------------------------
% 32.23/9.55 % (2828691)------------------------------
% 32.23/9.55 % (2828693)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4081806374:fmbsr=2.30978:i=2174_2958 on theBenchmark for (2958ds/2174Mi)
% 32.23/9.55 % TRYING [16]
% 32.23/9.55 % (2828693)Instruction limit reached!
% 32.23/9.55 % (2828693)------------------------------
% 32.23/9.55 % (2828693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828693)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828693)Termination reason: Instruction limit
% 32.23/9.55 % (2828693)Termination phase: Finite model building constraint generation
% 32.23/9.55 % (2828693)Time elapsed: 1.483 s
% 32.23/9.55 % (2828693)Peak memory usage: 132 MB
% 32.23/9.55 % (2828693)Instructions burned: 2176 (million)
% 32.23/9.55 % (2828695)ott-2_1_sil=16000:newcnf=on:random_seed=3997072057:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2942 on theBenchmark for (2942ds/869Mi)
% 32.23/9.55 % TRYING [7]
% 32.23/9.55 % (2828695)Instruction limit reached!
% 32.23/9.55 % (2828695)------------------------------
% 32.23/9.55 % (2828695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828695)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828695)Termination reason: Instruction limit
% 32.23/9.55 % (2828695)Termination phase: Saturation
% 32.23/9.55 % (2828695)Time elapsed: 0.856 s
% 32.23/9.55 % (2828695)Peak memory usage: 20 MB
% 32.23/9.55 % (2828695)Instructions burned: 870 (million)
% 32.23/9.55 % (2828697)ott+10_1_sil=32000:tgt=ground:random_seed=390800413:i=5114:av=off_2933 on theBenchmark for (2933ds/5114Mi)
% 32.23/9.55 % (2828687)Instruction limit reached!
% 32.23/9.55 % (2828687)------------------------------
% 32.23/9.55 % (2828687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828687)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828687)Termination reason: Instruction limit
% 32.23/9.55 % (2828687)Termination phase: Saturation
% 32.23/9.55 % (2828687)Time elapsed: 4.791 s
% 32.23/9.55 % (2828687)Peak memory usage: 55 MB
% 32.23/9.55 % (2828687)Instructions burned: 5131 (million)
% 32.23/9.55 % (2828699)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1071260385:i=54282_2932 on theBenchmark for (2932ds/54282Mi)
% 32.23/9.55 % TRYING [1]
% 32.23/9.55 % TRYING [2]
% 32.23/9.55 % TRYING [3]
% 32.23/9.55 % TRYING [4]
% 32.23/9.55 % TRYING [5]
% 32.23/9.55 % TRYING [7]
% 32.23/9.55 % (2828681)Instruction limit reached!
% 32.23/9.55 % (2828681)------------------------------
% 32.23/9.55 % (2828681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828681)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828681)Termination reason: Instruction limit
% 32.23/9.55 % (2828681)Termination phase: Finite model building constraint generation
% 32.23/9.55 % (2828681)Time elapsed: 6.473 s
% 32.23/9.55 % (2828681)Peak memory usage: 142 MB
% 32.23/9.55 % (2828681)Instructions burned: 22065 (million)
% 32.23/9.55 % (2828701)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1612855073:i=3512:aac=none_2923 on theBenchmark for (2923ds/3512Mi)
% 32.23/9.55 % (2828683)Instruction limit reached!
% 32.23/9.55 % (2828683)------------------------------
% 32.23/9.55 % (2828683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.55 % (2828683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.55 % (2828683)CaDiCaL version: 2.1.3
% 32.23/9.55 % (2828683)Termination reason: Instruction limit
% 32.23/9.55 % (2828683)Termination phase: Finite model building constraint generation
% 32.23/9.55 % (2828683)Time elapsed: 6.590 s
% 32.23/9.55 % (2828683)Peak memory usage: 675 MB
% 32.23/9.55 % (2828683)Instructions burned: 9516 (million)
% 32.23/9.55 % TRYING [6]
% 32.23/9.55 % (2828703)dis+21_1_sil=32000:sas=cadical:random_seed=3220687152:i=3773:amm=off_2916 on theBenchmark for (2916ds/3773Mi)
% 32.23/9.55 % (2828697) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2828642-2828697"...
% 32.23/9.55 % (2828697)...printing done.
% 32.23/9.55 % (2828697)Refutation found. Thanks to Tanya!
% 32.23/9.55 % SZS status Unsatisfiable for theBenchmark
% 32.23/9.55 % SZS output start Proof for theBenchmark
% See solution above
% 32.23/9.56 % (2828697)------------------------------
% 32.23/9.56 % (2828697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.23/9.56 % (2828697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.23/9.56 % (2828697)CaDiCaL version: 2.1.3
% 32.23/9.56 % (2828697)Termination reason: Refutation
% 32.23/9.56 % (2828697)Time elapsed: 2.357 s
% 32.23/9.56 % (2828697)Peak memory usage: 34 MB
% 32.23/9.56 % (2828697)Instructions burned: 2416 (million)
% 32.23/9.56 % (2828642)Success in time 9.123 s
% 32.23/9.56 % Vampire exiting
%------------------------------------------------------------------------------