%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL050-3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:34:41 PM UTC 2026
% Result : Unsatisfiable 19.90s 5.94s
% Output : Refutation 19.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 18
% Syntax : Number of formulae : 160 ( 160 unt; 3 def)
% Number of atoms : 160 ( 159 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 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 : 170 ( 170 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_cancellativity_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/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
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/sandbox2/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,
complement(composition(sk1,top)) != composition(complement(composition(sk1,top)),top),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f27,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(f28,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f29,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f31,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF2 = composition(sF1,top),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f33,plain,
composition(sF1,top) = sF2,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
sF1 != sF2,
inference(definition_folding,[],[f23,f33,f31,f29,f31,f29]) ).
fof(f39,plain,
zero = complement(top),
inference(superposition,[],[f24,f15]) ).
fof(f40,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f15,f24]) ).
fof(f41,plain,
! [X0] : top = join(zero,join(complement(X0),complement(complement(X0)))),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f44,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f41,f15]) ).
fof(f45,plain,
top = join(top,zero),
inference(forward_demodulation,[],[f44,f1]) ).
fof(f49,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f50,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f54,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f1,f11]) ).
fof(f55,plain,
! [X0,X1] : converse(composition(X1,converse(X0))) = composition(X0,converse(X1)),
inference(superposition,[],[f12,f10]) ).
fof(f56,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f60,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f49,f15]) ).
fof(f74,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f79,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[],[f2,f45]) ).
fof(f84,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f15,f2]) ).
fof(f86,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f104,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f107,plain,
! [X0] : composition(sk1,composition(top,X0)) = composition(sF0,X0),
inference(superposition,[],[f7,f29]) ).
fof(f123,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f136,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X1,X2),composition(X0,X2)),
inference(superposition,[],[f1,f9]) ).
fof(f162,plain,
! [X0,X1] : complement(converse(X0)) = join(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),complement(converse(X0))),
inference(superposition,[],[f14,f12]) ).
fof(f168,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,top))),zero),
inference(superposition,[],[f14,f39]) ).
fof(f175,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(forward_demodulation,[],[f168,f1]) ).
fof(f181,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f162,f1]) ).
fof(f190,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f181,f10]) ).
fof(f199,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f200,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f4,f24]) ).
fof(f207,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f209,plain,
! [X0] : join(complement(join(complement(X0),complement(complement(complement(X0))))),zero) = X0,
inference(superposition,[],[f4,f24]) ).
fof(f216,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f209,f1]) ).
fof(f218,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f207,f1]) ).
fof(f225,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(forward_demodulation,[],[f199,f1]) ).
fof(f527,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(superposition,[],[f11,f54]) ).
fof(f705,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f56,f8]) ).
fof(f735,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f705,f10]) ).
fof(f753,plain,
! [X0] : complement(X0) = join(complement(composition(one,X0)),complement(X0)),
inference(superposition,[],[f14,f735]) ).
fof(f765,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f104,f735]) ).
fof(f773,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f765,f735]) ).
fof(f782,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(forward_demodulation,[],[f753,f1]) ).
fof(f794,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f782,f773]) ).
fof(f809,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X0),complement(X1)),X0),
inference(superposition,[],[f74,f4]) ).
fof(f816,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f74,f15]) ).
fof(f831,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f809,f2]) ).
fof(f838,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f831,f86]) ).
fof(f840,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f838,f74]) ).
fof(f889,plain,
! [X2,X0,X1] : top = join(complement(join(complement(composition(X0,X2)),complement(X1))),join(complement(join(complement(composition(complement(join(complement(X0),complement(composition(X1,converse(X2))))),X2)),complement(X1))),complement(complement(join(complement(composition(complement(join(complement(X0),complement(composition(X1,converse(X2))))),X2)),complement(X1)))))),
inference(superposition,[],[f84,f27]) ).
fof(f944,plain,
! [X2,X0,X1] : top = join(complement(join(complement(composition(X0,X2)),complement(X1))),top),
inference(forward_demodulation,[],[f889,f15]) ).
fof(f957,plain,
! [X2,X0,X1] : top = join(top,complement(join(complement(composition(X0,X2)),complement(X1)))),
inference(forward_demodulation,[],[f944,f1]) ).
fof(f964,plain,
! [X1] : top = join(top,complement(complement(X1))),
inference(forward_demodulation,[],[f957,f840]) ).
fof(f1000,plain,
! [X0] : join(top,X0) = join(top,complement(join(complement(X0),complement(X0)))),
inference(superposition,[],[f79,f200]) ).
fof(f1005,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(forward_demodulation,[],[f1000,f840]) ).
fof(f1008,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f1005,f964]) ).
fof(f1026,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f84,f1008]) ).
fof(f1027,plain,
top = converse(top),
inference(superposition,[],[f60,f1008]) ).
fof(f1028,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f50,f1008]) ).
fof(f1141,plain,
! [X0] : converse(composition(X0,top)) = composition(top,converse(X0)),
inference(superposition,[],[f55,f1027]) ).
fof(f1142,plain,
! [X0] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[],[f56,f1027]) ).
fof(f1394,plain,
! [X0] : join(complement(join(complement(X0),complement(top))),complement(top)) = X0,
inference(superposition,[],[f4,f1026]) ).
fof(f1399,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
inference(forward_demodulation,[],[f1394,f1]) ).
fof(f1411,plain,
! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f1399,f39]) ).
fof(f1413,plain,
! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f1411,f1]) ).
fof(f1783,plain,
top = join(zero,complement(join(zero,complement(complement(zero))))),
inference(superposition,[],[f216,f39]) ).
fof(f1794,plain,
top = complement(zero),
inference(forward_demodulation,[],[f1783,f1413]) ).
fof(f2462,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(superposition,[],[f200,f794]) ).
fof(f2873,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(zero)))),
inference(superposition,[],[f218,f216]) ).
fof(f2877,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),complement(zero)))),
inference(superposition,[],[f218,f2462]) ).
fof(f2936,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(zero),complement(complement(X0))))),
inference(forward_demodulation,[],[f2877,f1]) ).
fof(f2940,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(zero),complement(join(complement(X0),complement(complement(complement(X0)))))))),
inference(forward_demodulation,[],[f2873,f1]) ).
fof(f2972,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f2936,f1794]) ).
fof(f2976,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(join(complement(X0),complement(complement(complement(X0)))))))),
inference(forward_demodulation,[],[f2940,f1794]) ).
fof(f2997,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f2972,f816]) ).
fof(f3001,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(complement(complement(complement(X0))))))),
inference(forward_demodulation,[],[f2976,f840]) ).
fof(f3011,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f2997,f1026]) ).
fof(f3015,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(complement(complement(X0)),top))),
inference(forward_demodulation,[],[f3001,f816]) ).
fof(f3021,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f3011,f39]) ).
fof(f3025,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(top,complement(complement(X0))))),
inference(forward_demodulation,[],[f3015,f1]) ).
fof(f3028,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f3021,f1]) ).
fof(f3031,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(join(X0,top))),
inference(forward_demodulation,[],[f3025,f816]) ).
fof(f3036,plain,
! [X0] : join(complement(X0),complement(top)) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f3031,f1026]) ).
fof(f3040,plain,
! [X0] : join(complement(X0),zero) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f3036,f39]) ).
fof(f3042,plain,
! [X0] : join(zero,complement(X0)) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f3040,f1]) ).
fof(f3044,plain,
! [X0] : complement(X0) = join(complement(X0),complement(complement(complement(X0)))),
inference(forward_demodulation,[],[f3042,f3028]) ).
fof(f3084,plain,
! [X0] : join(zero,complement(join(complement(complement(complement(X0))),complement(X0)))) = X0,
inference(superposition,[],[f225,f24]) ).
fof(f3101,plain,
! [X0] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[],[f225,f794]) ).
fof(f3133,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),X0))) = X0,
inference(forward_demodulation,[],[f3101,f1]) ).
fof(f3150,plain,
! [X0] : complement(join(complement(complement(complement(X0))),complement(X0))) = X0,
inference(forward_demodulation,[],[f3084,f3028]) ).
fof(f3179,plain,
! [X0] : join(complement(complement(X0)),complement(join(X0,complement(X0)))) = X0,
inference(forward_demodulation,[],[f3133,f1]) ).
fof(f3194,plain,
! [X0] : complement(join(complement(X0),complement(complement(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3150,f1]) ).
fof(f3208,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(forward_demodulation,[],[f3179,f15]) ).
fof(f3220,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f3194,f3044]) ).
fof(f3225,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f3208,f1]) ).
fof(f3232,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f3225,f3220]) ).
fof(f3236,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f3232,f39]) ).
fof(f3587,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1,f3236]) ).
fof(f3606,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f50,f3236]) ).
fof(f3612,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f3606,f10]) ).
fof(f3652,plain,
! [X0] : composition(join(converse(top),X0),converse(sF1)) = join(converse(sF2),composition(X0,converse(sF1))),
inference(superposition,[],[f123,f33]) ).
fof(f3699,plain,
! [X0] : join(converse(sF2),composition(X0,converse(sF1))) = composition(converse(top),converse(sF1)),
inference(forward_demodulation,[],[f3652,f1028]) ).
fof(f3722,plain,
! [X0] : converse(composition(sF1,top)) = join(converse(sF2),composition(X0,converse(sF1))),
inference(forward_demodulation,[],[f3699,f12]) ).
fof(f3740,plain,
! [X0] : join(converse(sF2),composition(X0,converse(sF1))) = composition(top,converse(sF1)),
inference(forward_demodulation,[],[f3722,f1141]) ).
fof(f4606,plain,
zero = converse(zero),
inference(superposition,[],[f3587,f3612]) ).
fof(f40102,plain,
zero = join(zero,composition(top,complement(composition(top,top)))),
inference(superposition,[],[f175,f1027]) ).
fof(f40149,plain,
zero = composition(top,complement(composition(top,top))),
inference(forward_demodulation,[],[f40102,f3236]) ).
fof(f47427,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f136,f40149]) ).
fof(f47543,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f47427,f3236]) ).
fof(f47618,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f47543,f1026]) ).
fof(f47688,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f47618,f40149]) ).
fof(f50543,plain,
zero = complement(composition(top,top)),
inference(superposition,[],[f735,f47688]) ).
fof(f51604,plain,
complement(zero) = composition(top,top),
inference(superposition,[],[f3220,f50543]) ).
fof(f51612,plain,
top = composition(top,top),
inference(forward_demodulation,[],[f51604,f1794]) ).
fof(f53509,plain,
composition(sk1,top) = composition(sF0,top),
inference(superposition,[],[f107,f51612]) ).
fof(f53660,plain,
sF0 = composition(sF0,top),
inference(forward_demodulation,[],[f53509,f29]) ).
fof(f54303,plain,
zero = join(zero,composition(converse(sF0),complement(sF0))),
inference(superposition,[],[f175,f53660]) ).
fof(f54443,plain,
zero = composition(converse(sF0),complement(sF0)),
inference(forward_demodulation,[],[f54303,f3236]) ).
fof(f54504,plain,
zero = composition(converse(sF0),sF1),
inference(forward_demodulation,[],[f54443,f31]) ).
fof(f56590,plain,
complement(converse(converse(sF0))) = join(complement(converse(converse(sF0))),composition(sF1,complement(converse(zero)))),
inference(superposition,[],[f190,f54504]) ).
fof(f56694,plain,
complement(converse(converse(sF0))) = join(complement(converse(converse(sF0))),composition(sF1,complement(zero))),
inference(forward_demodulation,[],[f56590,f4606]) ).
fof(f56791,plain,
complement(converse(converse(sF0))) = join(complement(converse(converse(sF0))),composition(sF1,top)),
inference(forward_demodulation,[],[f56694,f1794]) ).
fof(f56880,plain,
complement(converse(converse(sF0))) = join(composition(sF1,top),complement(converse(converse(sF0)))),
inference(forward_demodulation,[],[f56791,f1]) ).
fof(f56958,plain,
complement(sF0) = join(composition(sF1,top),complement(sF0)),
inference(forward_demodulation,[],[f56880,f10]) ).
fof(f57029,plain,
complement(sF0) = join(complement(sF0),composition(sF1,top)),
inference(forward_demodulation,[],[f56958,f1]) ).
fof(f57088,plain,
complement(sF0) = join(complement(sF0),sF2),
inference(forward_demodulation,[],[f57029,f33]) ).
fof(f57133,plain,
complement(sF0) = join(sF2,complement(sF0)),
inference(forward_demodulation,[],[f57088,f1]) ).
fof(f57172,plain,
sF1 = join(sF2,sF1),
inference(forward_demodulation,[],[f57133,f31]) ).
fof(f57210,plain,
sF1 = join(sF1,sF2),
inference(forward_demodulation,[],[f57172,f1]) ).
fof(f76847,plain,
composition(top,converse(sF1)) = join(converse(sF2),converse(sF1)),
inference(superposition,[],[f3740,f735]) ).
fof(f76901,plain,
composition(top,converse(sF1)) = converse(join(sF2,sF1)),
inference(forward_demodulation,[],[f76847,f11]) ).
fof(f76926,plain,
composition(top,converse(sF1)) = converse(join(sF1,sF2)),
inference(forward_demodulation,[],[f76901,f527]) ).
fof(f76941,plain,
converse(sF1) = composition(top,converse(sF1)),
inference(forward_demodulation,[],[f76926,f57210]) ).
fof(f76969,plain,
converse(converse(sF1)) = composition(converse(converse(sF1)),top),
inference(superposition,[],[f1142,f76941]) ).
fof(f77169,plain,
sF1 = composition(sF1,top),
inference(forward_demodulation,[],[f76969,f10]) ).
fof(f77743,plain,
sF1 = sF2,
inference(superposition,[],[f33,f77169]) ).
fof(f77891,plain,
$false,
inference(forward_subsumption_resolution,[],[f77743,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL050-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:02:18 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.91/2.45 % (3090678)Will run a generic schedule for satisfiability detection.
% 13.91/2.45 % (3090704)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2726061253:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.91/2.45 % (3090699)% WARNING: option uhcvi not known.
% 13.91/2.45 % (3090700)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4174903673:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.91/2.45 % (3090701)dis+10_1_sil=32000:sp=arity:random_seed=1383471487:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.91/2.45 % (3090699)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=848036862:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.91/2.45 % (3090698)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3044915211_2999 on theBenchmark for (2999ds/0Mi)
% 13.91/2.45 % (3090702)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1112431036:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.91/2.45 % (3090705)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2749356397:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.91/2.45 % TRYING [1]
% 13.91/2.45 % TRYING [2]
% 13.91/2.45 % TRYING [3]
% 13.91/2.45 % (3090704)Instruction limit reached!
% 13.91/2.45 % (3090704)------------------------------
% 13.91/2.45 % (3090704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.91/2.45 % (3090704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.91/2.45 % (3090704)CaDiCaL version: 2.1.3
% 13.91/2.45 % (3090704)Termination reason: Instruction limit
% 13.91/2.45 % (3090704)Termination phase: Saturation
% 13.91/2.45 % (3090704)Time elapsed: 0.044 s
% 13.91/2.45 % (3090704)Peak memory usage: 13 MB
% 13.91/2.45 % (3090704)Instructions burned: 134 (million)
% 13.91/2.45 % TRYING [4]
% 13.91/2.45 % (3090736)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1894331471:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.91/2.45 % TRYING [1]
% 13.91/2.45 % TRYING [2]
% 13.91/2.45 % TRYING [3]
% 13.91/2.45 % (3090701)Instruction limit reached!
% 13.91/2.45 % (3090701)------------------------------
% 13.91/2.45 % (3090701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.91/2.45 % (3090701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.91/2.45 % (3090701)CaDiCaL version: 2.1.3
% 13.91/2.45 % (3090701)Termination reason: Instruction limit
% 13.91/2.45 % (3090701)Termination phase: Saturation
% 13.91/2.45 % (3090701)Time elapsed: 0.062 s
% 13.91/2.45 % (3090701)Peak memory usage: 12 MB
% 13.91/2.45 % (3090701)Instructions burned: 107 (million)
% 13.91/2.45 % (3090702)Instruction limit reached!
% 13.91/2.45 % (3090702)------------------------------
% 13.91/2.45 % (3090702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.91/2.45 % (3090702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.91/2.45 % (3090702)CaDiCaL version: 2.1.3
% 13.91/2.45 % (3090702)Termination reason: Instruction limit
% 13.91/2.45 % (3090702)Termination phase: Saturation
% 13.91/2.45 % (3090702)Time elapsed: 0.070 s
% 13.91/2.45 % (3090702)Peak memory usage: 13 MB
% 13.91/2.45 % (3090702)Instructions burned: 117 (million)
% 13.91/2.45 % TRYING [4]
% 13.91/2.45 % (3090738)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=611901709:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.91/2.45 % (3090739)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=3373928682:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.91/2.45 % (3090705)Instruction limit reached!
% 13.91/2.45 % (3090705)------------------------------
% 13.91/2.45 % (3090705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.91/2.45 % (3090705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.91/2.45 % (3090705)CaDiCaL version: 2.1.3
% 13.91/2.45 % (3090705)Termination reason: Instruction limit
% 13.91/2.45 % (3090705)Termination phase: Saturation
% 13.91/2.45 % (3090705)Time elapsed: 0.096 s
% 13.91/2.45 % (3090705)Peak memory usage: 13 MB
% 13.91/2.45 % (3090705)Instructions burned: 159 (million)
% 13.91/2.45 % (3090742)ott-21_1_sil=16000:fs=off:random_seed=2114268334:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.91/2.45 % (3090738)Instruction limit reached!
% 13.91/2.45 % (3090738)------------------------------
% 13.91/2.45 % (3090738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.91/2.45 % (3090738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.30/5.17 % (3090738)CaDiCaL version: 2.1.3
% 33.30/5.17 % (3090738)Termination reason: Instruction limit
% 33.30/5.17 % (3090738)Termination phase: Saturation
% 33.30/5.17 % (3090738)Time elapsed: 0.085 s
% 33.30/5.17 % (3090738)Peak memory usage: 13 MB
% 33.30/5.17 % (3090738)Instructions burned: 132 (million)
% 33.30/5.17 % TRYING [5]
% 33.30/5.17 % (3090744)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=616202531:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 33.30/5.17 % (3090742)Instruction limit reached!
% 33.30/5.17 % (3090742)------------------------------
% 33.30/5.17 % (3090742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.30/5.17 % (3090742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.30/5.17 % (3090742)CaDiCaL version: 2.1.3
% 33.30/5.17 % (3090742)Termination reason: Instruction limit
% 33.30/5.17 % (3090742)Termination phase: Saturation
% 33.30/5.17 % (3090742)Time elapsed: 0.085 s
% 33.30/5.17 % (3090742)Peak memory usage: 12 MB
% 33.30/5.17 % (3090742)Instructions burned: 181 (million)
% 33.30/5.17 % (3090736)Instruction limit reached!
% 33.30/5.17 % (3090736)------------------------------
% 33.30/5.17 % (3090736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.30/5.17 % (3090736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.30/5.17 % (3090736)CaDiCaL version: 2.1.3
% 33.30/5.17 % (3090736)Termination reason: Instruction limit
% 33.30/5.17 % (3090736)Termination phase: Finite model building constraint generation
% 33.30/5.17 % (3090736)Time elapsed: 0.155 s
% 33.30/5.17 % (3090736)Peak memory usage: 29 MB
% 33.30/5.17 % (3090736)Instructions burned: 722 (million)
% 33.30/5.17 % TRYING [5]
% 33.30/5.17 % (3090747)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4004036231:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.30/5.17 % (3090746)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3637560470:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.30/5.17 % TRYING [1]
% 33.30/5.17 % TRYING [2]
% 33.30/5.17 % TRYING [3]
% 33.30/5.17 % TRYING [4]
% 33.30/5.17 % (3090739)Instruction limit reached!
% 33.30/5.17 % (3090739)------------------------------
% 33.30/5.17 % (3090739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.30/5.17 % (3090739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.30/5.17 % (3090739)CaDiCaL version: 2.1.3
% 33.30/5.17 % (3090739)Termination reason: Instruction limit
% 33.30/5.17 % (3090739)Termination phase: Saturation
% 33.30/5.17 % (3090739)Time elapsed: 0.351 s
% 33.30/5.17 % (3090739)Peak memory usage: 16 MB
% 33.30/5.17 % (3090739)Instructions burned: 686 (million)
% 33.30/5.17 % (3090744)Instruction limit reached!
% 33.30/5.17 % (3090744)------------------------------
% 33.30/5.17 % (3090744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.30/5.17 % (3090744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.30/5.17 % (3090744)CaDiCaL version: 2.1.3
% 33.30/5.17 % (3090744)Termination reason: Instruction limit
% 33.30/5.17 % (3090744)Termination phase: Saturation
% 33.30/5.17 % (3090744)Time elapsed: 0.256 s
% 33.30/5.17 % (3090744)Peak memory usage: 16 MB
% 33.30/5.17 % (3090744)Instructions burned: 478 (million)
% 33.30/5.17 % (3090750)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3126469818:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.30/5.17 % (3090751)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=112447516:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 33.30/5.17 % (3090746)Instruction limit reached!
% 33.30/5.17 % (3090746)------------------------------
% 33.30/5.17 % (3090746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.30/5.17 % (3090746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.30/5.17 % (3090746)CaDiCaL version: 2.1.3
% 33.30/5.17 % (3090746)Termination reason: Instruction limit
% 33.30/5.17 % (3090746)Termination phase: Finite model building SAT solving
% 33.30/5.17 % (3090746)Time elapsed: 0.298 s
% 33.30/5.17 % (3090746)Peak memory usage: 23 MB
% 33.30/5.17 % (3090746)Instructions burned: 867 (million)
% 33.30/5.17 % (3090754)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1400840931:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 33.30/5.17 % (3090747)Instruction limit reached!
% 33.30/5.17 % (3090747)------------------------------
% 19.90/5.94 % (3090747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090747)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090747)Termination reason: Instruction limit
% 19.90/5.94 % (3090747)Termination phase: Saturation
% 19.90/5.94 % (3090747)Time elapsed: 0.363 s
% 19.90/5.94 % (3090747)Peak memory usage: 23 MB
% 19.90/5.94 % (3090747)Instructions burned: 1181 (million)
% 19.90/5.94 % (3090756)fmb+10_1_sil=64000:random_seed=2709598202:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 19.90/5.94 % TRYING [1]
% 19.90/5.94 % TRYING [2]
% 19.90/5.94 % TRYING [3]
% 19.90/5.94 % TRYING [4]
% 19.90/5.94 % TRYING [5]
% 19.90/5.94 % (3090751)Instruction limit reached!
% 19.90/5.94 % (3090751)------------------------------
% 19.90/5.94 % (3090751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090751)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090751)Termination reason: Instruction limit
% 19.90/5.94 % (3090751)Termination phase: Saturation
% 19.90/5.94 % (3090751)Time elapsed: 0.400 s
% 19.90/5.94 % (3090751)Peak memory usage: 18 MB
% 19.90/5.94 % (3090751)Instructions burned: 693 (million)
% 19.90/5.94 % (3090750)Instruction limit reached!
% 19.90/5.94 % (3090750)------------------------------
% 19.90/5.94 % (3090750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090750)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090750)Termination reason: Instruction limit
% 19.90/5.94 % (3090750)Termination phase: Finite model building constraint generation
% 19.90/5.94 % (3090750)Time elapsed: 0.417 s
% 19.90/5.94 % (3090750)Peak memory usage: 109 MB
% 19.90/5.94 % (3090750)Instructions burned: 890 (million)
% 19.90/5.94 % (3090758)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1444569478:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 19.90/5.94 % TRYING [20]
% 19.90/5.94 % TRYING [6]
% 19.90/5.94 % (3090760)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=475767548:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 19.90/5.94 % TRYING [8]
% 19.90/5.94 % (3090754)Instruction limit reached!
% 19.90/5.94 % (3090754)------------------------------
% 19.90/5.94 % (3090754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090754)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090754)Termination reason: Instruction limit
% 19.90/5.94 % (3090754)Termination phase: Saturation
% 19.90/5.94 % (3090754)Time elapsed: 0.461 s
% 19.90/5.94 % (3090754)Peak memory usage: 18 MB
% 19.90/5.94 % (3090754)Instructions burned: 880 (million)
% 19.90/5.94 % (3090762)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=817599901:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 19.90/5.94 % (3090760)Instruction limit reached!
% 19.90/5.94 % (3090760)------------------------------
% 19.90/5.94 % (3090760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090760)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090760)Termination reason: Instruction limit
% 19.90/5.94 % (3090760)Termination phase: Finite model building constraint generation
% 19.90/5.94 % (3090760)Time elapsed: 0.318 s
% 19.90/5.94 % (3090760)Peak memory usage: 75 MB
% 19.90/5.94 % (3090760)Instructions burned: 922 (million)
% 19.90/5.94 % (3090764)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=843391002:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 19.90/5.94 % TRYING [6]
% 19.90/5.94 % (3090764)Instruction limit reached!
% 19.90/5.94 % (3090764)------------------------------
% 19.90/5.94 % (3090764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090764)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090764)Termination reason: Instruction limit
% 19.90/5.94 % (3090764)Termination phase: Saturation
% 19.90/5.94 % (3090764)Time elapsed: 0.691 s
% 19.90/5.94 % (3090764)Peak memory usage: 24 MB
% 19.90/5.94 % (3090764)Instructions burned: 1473 (million)
% 19.90/5.94 % (3090766)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3473412965:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 19.90/5.94 % (3090766)Cannot represent all propositional literals internally
% 19.90/5.94 % (3090766)Refutation not found, incomplete strategy
% 19.90/5.94 % (3090766)------------------------------
% 19.90/5.94 % (3090766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090766)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090766)Termination reason: Refutation not found, incomplete strategy
% 19.90/5.94 % (3090766)Time elapsed: 0.007 s
% 19.90/5.94 % (3090766)Peak memory usage: 10 MB
% 19.90/5.94 % (3090766)Instructions burned: 13 (million)
% 19.90/5.94 % (3090766)------------------------------
% 19.90/5.94 % (3090766)------------------------------
% 19.90/5.94 % (3090768)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=863812246:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 19.90/5.94 % TRYING [16]
% 19.90/5.94 % (3090768)Instruction limit reached!
% 19.90/5.94 % (3090768)------------------------------
% 19.90/5.94 % (3090768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090768)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090768)Termination reason: Instruction limit
% 19.90/5.94 % (3090768)Termination phase: Finite model building constraint generation
% 19.90/5.94 % (3090768)Time elapsed: 0.734 s
% 19.90/5.94 % (3090768)Peak memory usage: 132 MB
% 19.90/5.94 % (3090768)Instructions burned: 2176 (million)
% 19.90/5.94 % (3090770)ott-2_1_sil=16000:newcnf=on:random_seed=2251492434:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2972 on theBenchmark for (2972ds/869Mi)
% 19.90/5.94 % (3090770)Instruction limit reached!
% 19.90/5.94 % (3090770)------------------------------
% 19.90/5.94 % (3090770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090770)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090770)Termination reason: Instruction limit
% 19.90/5.94 % (3090770)Termination phase: Saturation
% 19.90/5.94 % (3090770)Time elapsed: 0.512 s
% 19.90/5.94 % (3090770)Peak memory usage: 20 MB
% 19.90/5.94 % (3090770)Instructions burned: 870 (million)
% 19.90/5.94 % (3090772)ott+10_1_sil=32000:tgt=ground:random_seed=148813247:i=5114:av=off_2966 on theBenchmark for (2966ds/5114Mi)
% 19.90/5.94 % TRYING [7]
% 19.90/5.94 % TRYING [7]
% 19.90/5.94 % (3090762)Instruction limit reached!
% 19.90/5.94 % (3090762)------------------------------
% 19.90/5.94 % (3090762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090762)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090762)Termination reason: Instruction limit
% 19.90/5.94 % (3090762)Termination phase: Saturation
% 19.90/5.94 % (3090762)Time elapsed: 2.758 s
% 19.90/5.94 % (3090762)Peak memory usage: 56 MB
% 19.90/5.94 % (3090762)Instructions burned: 5133 (million)
% 19.90/5.94 % (3090774)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2973874920:i=54282_2961 on theBenchmark for (2961ds/54282Mi)
% 19.90/5.94 % TRYING [1]
% 19.90/5.94 % TRYING [2]
% 19.90/5.94 % TRYING [3]
% 19.90/5.94 % TRYING [4]
% 19.90/5.94 % TRYING [5]
% 19.90/5.94 % (3090758)Instruction limit reached!
% 19.90/5.94 % (3090758)------------------------------
% 19.90/5.94 % (3090758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090758)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090758)Termination reason: Instruction limit
% 19.90/5.94 % (3090758)Termination phase: Finite model building constraint generation
% 19.90/5.94 % (3090758)Time elapsed: 3.378 s
% 19.90/5.94 % (3090758)Peak memory usage: 675 MB
% 19.90/5.94 % (3090758)Instructions burned: 9515 (million)
% 19.90/5.94 % (3090776)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2471830247:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 19.90/5.94 % (3090756)Instruction limit reached!
% 19.90/5.94 % (3090756)------------------------------
% 19.90/5.94 % (3090756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090756)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090756)Termination reason: Instruction limit
% 19.90/5.94 % (3090756)Termination phase: Finite model building constraint generation
% 19.90/5.94 % (3090756)Time elapsed: 4.105 s
% 19.90/5.94 % (3090756)Peak memory usage: 262 MB
% 19.90/5.94 % (3090756)Instructions burned: 22062 (million)
% 19.90/5.94 % TRYING [6]
% 19.90/5.94 % (3090778)dis+21_1_sil=32000:sas=cadical:random_seed=3088689068:i=3773:amm=off_2952 on theBenchmark for (2952ds/3773Mi)
% 19.90/5.94 % (3090772) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3090678-3090772"...
% 19.90/5.94 % (3090772)...printing done.
% 19.90/5.94 % (3090772)Refutation found. Thanks to Tanya!
% 19.90/5.94 % SZS status Unsatisfiable for theBenchmark
% 19.90/5.94 % SZS output start Proof for theBenchmark
% See solution above
% 19.90/5.94 % (3090772)------------------------------
% 19.90/5.94 % (3090772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.90/5.94 % (3090772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.90/5.94 % (3090772)CaDiCaL version: 2.1.3
% 19.90/5.94 % (3090772)Termination reason: Refutation
% 19.90/5.94 % (3090772)Time elapsed: 2.107 s
% 19.90/5.94 % (3090772)Peak memory usage: 44 MB
% 19.90/5.94 % (3090772)Instructions burned: 3528 (million)
% 19.90/5.94 % (3090678)Success in time 5.508 s
% 19.90/5.94 % Vampire exiting
%------------------------------------------------------------------------------