%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL005-3 : 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 : n012.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 12:34:13 PM UTC 2026
% Result : Unsatisfiable 18.78s 6.64s
% Output : Refutation 18.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 15
% Syntax : Number of formulae : 164 ( 164 unt; 0 def)
% Number of atoms : 164 ( 163 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 244 ( 244 !; 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,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
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,plain,
converse(complement(join(complement(sk1),complement(sk2)))) != complement(join(complement(converse(sk1)),complement(converse(sk2)))),
inference(definition_unfolding,[],[f23,f6,f6]) ).
fof(f29,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X1,complement(X1)),
inference(superposition,[],[f15,f15]) ).
fof(f32,plain,
zero = complement(top),
inference(superposition,[],[f24,f15]) ).
fof(f45,plain,
! [X0] : zero = complement(join(X0,complement(X0))),
inference(superposition,[],[f24,f29]) ).
fof(f52,plain,
! [X0] : complement(top) = complement(join(X0,complement(X0))),
inference(superposition,[],[f45,f32]) ).
fof(f82,plain,
! [X0] : top = join(top,complement(join(X0,complement(X0)))),
inference(superposition,[],[f15,f52]) ).
fof(f197,plain,
! [X0] : join(converse(X0),converse(complement(X0))) = converse(top),
inference(superposition,[],[f11,f15]) ).
fof(f211,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f197,f10]) ).
fof(f254,plain,
! [X0] : converse(X0) = composition(converse(one),converse(X0)),
inference(superposition,[],[f12,f8]) ).
fof(f262,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(superposition,[],[f254,f10]) ).
fof(f267,plain,
one = converse(one),
inference(superposition,[],[f262,f8]) ).
fof(f271,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f262,f267]) ).
fof(f316,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f317,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f329,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f330,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f2,f1]) ).
fof(f420,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f316,f1]) ).
fof(f427,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(superposition,[],[f316,f15]) ).
fof(f508,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(superposition,[],[f427,f1]) ).
fof(f518,plain,
! [X0] : join(X0,top) = join(complement(complement(X0)),top),
inference(superposition,[],[f427,f1]) ).
fof(f557,plain,
! [X0] : join(top,X0) = join(complement(complement(X0)),top),
inference(superposition,[],[f508,f1]) ).
fof(f774,plain,
! [X0,X1] : join(X1,join(X0,complement(X1))) = join(X0,top),
inference(superposition,[],[f420,f1]) ).
fof(f1710,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f317,f15]) ).
fof(f1739,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[],[f317,f2]) ).
fof(f1920,plain,
! [X0,X1] : join(top,X0) = join(complement(X1),join(X0,X1)),
inference(superposition,[],[f1710,f1]) ).
fof(f2778,plain,
! [X0,X1] : composition(top,X1) = join(composition(X0,X1),composition(complement(X0),X1)),
inference(superposition,[],[f9,f15]) ).
fof(f3237,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X2,X0)),
inference(superposition,[],[f330,f1]) ).
fof(f4575,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X1,X2),X0),
inference(superposition,[],[f3237,f1]) ).
fof(f8641,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f11255,plain,
! [X0,X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(X0))))))),
inference(superposition,[],[f8641,f24]) ).
fof(f11276,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f8641,f262]) ).
fof(f11279,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2)),
inference(superposition,[],[f2,f8641]) ).
fof(f11329,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f11276,f271]) ).
fof(f11344,plain,
! [X0,X1] : complement(top) = join(complement(top),composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(X0))))))),
inference(forward_demodulation,[],[f11255,f32]) ).
fof(f11374,plain,
! [X0] : join(X0,complement(X0)) = join(complement(X0),top),
inference(superposition,[],[f774,f11329]) ).
fof(f11469,plain,
! [X0] : top = join(complement(X0),join(top,complement(join(X0,complement(X0))))),
inference(superposition,[],[f329,f11374]) ).
fof(f11515,plain,
! [X0] : top = join(complement(X0),top),
inference(forward_demodulation,[],[f11469,f82]) ).
fof(f11574,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f11515,f557]) ).
fof(f11575,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f11515,f518]) ).
fof(f11706,plain,
top = converse(top),
inference(superposition,[],[f11574,f211]) ).
fof(f12111,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f13783,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f12111,f12111]) ).
fof(f13787,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f12111,f15]) ).
fof(f13802,plain,
! [X0,X1] : converse(X0) = join(converse(complement(join(complement(X0),X1))),converse(complement(join(complement(X0),complement(X1))))),
inference(superposition,[],[f11,f12111]) ).
fof(f13857,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(forward_demodulation,[],[f13787,f11329]) ).
fof(f13861,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f13783,f1]) ).
fof(f13923,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f13861,f330]) ).
fof(f13962,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(superposition,[],[f13857,f1]) ).
fof(f13965,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),top)),complement(X0)),
inference(superposition,[],[f12111,f13857]) ).
fof(f14029,plain,
! [X0] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),top))),
inference(forward_demodulation,[],[f13965,f1]) ).
fof(f14047,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f14029,f11575]) ).
fof(f14508,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f14047,f13857]) ).
fof(f14604,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f13857,f14508]) ).
fof(f14605,plain,
! [X0] : join(complement(top),X0) = X0,
inference(superposition,[],[f13962,f14508]) ).
fof(f14650,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f11329,f14508]) ).
fof(f14738,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f14650]) ).
fof(f14755,plain,
! [X0] : join(complement(X0),X0) = join(top,X0),
inference(superposition,[],[f1920,f14650]) ).
fof(f14832,plain,
! [X0] : join(X0,complement(X0)) = join(top,X0),
inference(forward_demodulation,[],[f14755,f1]) ).
fof(f14857,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X0)))) = X1,
inference(superposition,[],[f14604,f15]) ).
fof(f14999,plain,
! [X0,X1] : join(complement(join(X0,complement(X0))),X1) = X1,
inference(superposition,[],[f14605,f15]) ).
fof(f15903,plain,
! [X0,X1] : join(X0,complement(X0)) = join(top,X1),
inference(superposition,[],[f14832,f29]) ).
fof(f17463,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
inference(superposition,[],[f14738,f12111]) ).
fof(f17646,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f17463,f1]) ).
fof(f19306,plain,
! [X2,X0,X1] : complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f20163,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f17646,f14508]) ).
fof(f20194,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f17646,f1]) ).
fof(f20267,plain,
! [X0,X1] : join(top,X0) = join(join(complement(X0),X1),X0),
inference(superposition,[],[f420,f17646]) ).
fof(f20341,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X0),
inference(forward_demodulation,[],[f20267,f1]) ).
fof(f21545,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f20194,f14508]) ).
fof(f32016,plain,
! [X2,X0,X1] : join(join(top,X0),X1) = join(join(X1,X0),join(complement(X0),X2)),
inference(superposition,[],[f4575,f20341]) ).
fof(f32183,plain,
! [X2,X0,X1] : join(join(top,X0),X1) = join(complement(X0),join(join(X1,X0),X2)),
inference(forward_demodulation,[],[f32016,f1739]) ).
fof(f32366,plain,
! [X2,X0,X1] : join(join(top,X0),X1) = join(complement(X0),join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f32183,f2]) ).
fof(f32445,plain,
! [X2,X0,X1] : join(top,join(X0,X1)) = join(complement(X0),join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f32366,f2]) ).
fof(f32476,plain,
! [X2,X0,X1] : top = join(complement(X0),join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f32445,f11574]) ).
fof(f35473,plain,
! [X0,X1] : join(top,composition(complement(X1),X0)) = join(complement(composition(X1,X0)),composition(top,X0)),
inference(superposition,[],[f1710,f2778]) ).
fof(f35508,plain,
! [X0,X1] : top = join(complement(composition(X1,X0)),composition(top,X0)),
inference(forward_demodulation,[],[f35473,f11574]) ).
fof(f35744,plain,
! [X0] : top = join(complement(X0),composition(top,X0)),
inference(superposition,[],[f35508,f262]) ).
fof(f35947,plain,
top = composition(top,top),
inference(superposition,[],[f35744,f14605]) ).
fof(f35953,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(composition(top,X0))))) = X0,
inference(superposition,[],[f12111,f35744]) ).
fof(f36024,plain,
! [X0] : complement(join(complement(X0),complement(composition(top,X0)))) = X0,
inference(forward_demodulation,[],[f35953,f14605]) ).
fof(f36128,plain,
! [X0] : complement(join(complement(X0),complement(composition(complement(join(complement(top),complement(composition(X0,converse(top))))),top)))) = join(complement(join(complement(top),complement(X0))),complement(join(complement(X0),complement(composition(complement(join(complement(top),complement(composition(X0,converse(top))))),top))))),
inference(superposition,[],[f19306,f35947]) ).
fof(f36130,plain,
! [X0] : complement(join(complement(X0),complement(composition(complement(complement(composition(X0,converse(top)))),top)))) = join(complement(join(complement(top),complement(X0))),complement(join(complement(X0),complement(composition(complement(complement(composition(X0,converse(top)))),top))))),
inference(forward_demodulation,[],[f36128,f14605]) ).
fof(f36147,plain,
! [X0] : complement(join(complement(X0),complement(composition(composition(X0,converse(top)),top)))) = join(complement(join(complement(top),complement(X0))),complement(join(complement(X0),complement(composition(composition(X0,converse(top)),top))))),
inference(forward_demodulation,[],[f36130,f14508]) ).
fof(f36158,plain,
! [X0] : complement(join(complement(X0),complement(composition(X0,composition(converse(top),top))))) = join(complement(join(complement(top),complement(X0))),complement(join(complement(X0),complement(composition(X0,composition(converse(top),top)))))),
inference(forward_demodulation,[],[f36147,f7]) ).
fof(f36163,plain,
! [X0] : complement(join(complement(X0),complement(composition(X0,composition(top,top))))) = join(complement(join(complement(top),complement(X0))),complement(join(complement(X0),complement(composition(X0,composition(top,top)))))),
inference(forward_demodulation,[],[f36158,f11706]) ).
fof(f36166,plain,
! [X0] : complement(join(complement(X0),complement(composition(X0,top)))) = join(complement(join(complement(top),complement(X0))),complement(join(complement(X0),complement(composition(X0,top))))),
inference(forward_demodulation,[],[f36163,f35947]) ).
fof(f36169,plain,
! [X0] : complement(join(complement(X0),complement(composition(X0,top)))) = join(complement(complement(X0)),complement(join(complement(X0),complement(composition(X0,top))))),
inference(forward_demodulation,[],[f36166,f14605]) ).
fof(f36172,plain,
! [X0] : complement(complement(X0)) = complement(join(complement(X0),complement(composition(X0,top)))),
inference(forward_demodulation,[],[f36169,f20163]) ).
fof(f36174,plain,
! [X0] : complement(join(complement(X0),complement(composition(X0,top)))) = X0,
inference(forward_demodulation,[],[f36172,f14508]) ).
fof(f38302,plain,
! [X0] : composition(top,X0) = join(composition(top,X0),X0),
inference(superposition,[],[f20194,f36024]) ).
fof(f38487,plain,
! [X0] : composition(top,X0) = join(X0,composition(top,X0)),
inference(forward_demodulation,[],[f38302,f1]) ).
fof(f38682,plain,
! [X0] : join(X0,complement(X0)) = composition(top,top),
inference(superposition,[],[f38487,f15903]) ).
fof(f38962,plain,
! [X0] : converse(join(X0,complement(X0))) = composition(converse(top),converse(top)),
inference(superposition,[],[f12,f38682]) ).
fof(f38975,plain,
! [X0] : converse(join(X0,complement(X0))) = composition(top,top),
inference(forward_demodulation,[],[f38962,f11706]) ).
fof(f39096,plain,
! [X0] : join(converse(X0),converse(complement(X0))) = composition(top,top),
inference(forward_demodulation,[],[f38975,f11]) ).
fof(f40606,plain,
! [X0] : composition(X0,top) = join(composition(X0,top),X0),
inference(superposition,[],[f20194,f36174]) ).
fof(f40800,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,top)),
inference(forward_demodulation,[],[f40606,f1]) ).
fof(f56501,plain,
! [X0,X1] : top = join(complement(X0),join(X1,composition(X0,top))),
inference(superposition,[],[f32476,f40800]) ).
fof(f67774,plain,
! [X0,X1] : top = join(complement(top),join(X1,join(converse(X0),converse(complement(X0))))),
inference(superposition,[],[f56501,f39096]) ).
fof(f67794,plain,
! [X0,X1] : top = join(X1,join(converse(X0),converse(complement(X0)))),
inference(forward_demodulation,[],[f67774,f14605]) ).
fof(f76613,plain,
! [X0] : top = join(X0,join(one,converse(complement(one)))),
inference(superposition,[],[f67794,f267]) ).
fof(f77589,plain,
top = join(one,converse(complement(one))),
inference(superposition,[],[f76613,f14605]) ).
fof(f79890,plain,
! [X0,X1] : complement(top) = composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f11344,f14605]) ).
fof(f79891,plain,
! [X0,X1] : complement(top) = composition(converse(X1),complement(composition(X1,join(complement(X0),X0)))),
inference(forward_demodulation,[],[f79890,f14508]) ).
fof(f79892,plain,
! [X0,X1] : complement(top) = composition(converse(X1),complement(composition(X1,join(X0,complement(X0))))),
inference(forward_demodulation,[],[f79891,f1]) ).
fof(f79893,plain,
! [X0,X1] : composition(converse(X1),complement(composition(X1,join(X0,complement(X0))))) = complement(join(one,converse(complement(one)))),
inference(forward_demodulation,[],[f79892,f77589]) ).
fof(f80077,plain,
! [X0,X1] : join(complement(join(X0,complement(X0))),X1) = join(complement(join(X0,complement(X0))),join(complement(join(one,converse(complement(one)))),X1)),
inference(superposition,[],[f11279,f79893]) ).
fof(f80353,plain,
! [X0,X1] : join(complement(join(X0,complement(X0))),X1) = join(complement(join(one,converse(complement(one)))),X1),
inference(forward_demodulation,[],[f80077,f14999]) ).
fof(f80536,plain,
! [X1] : join(complement(join(one,converse(complement(one)))),X1) = X1,
inference(forward_demodulation,[],[f80353,f14999]) ).
fof(f80974,plain,
! [X0] : converse(join(one,converse(complement(one)))) = join(converse(complement(X0)),converse(complement(join(complement(join(one,converse(complement(one)))),complement(X0))))),
inference(superposition,[],[f13802,f80536]) ).
fof(f81386,plain,
! [X0] : join(converse(complement(X0)),converse(complement(complement(X0)))) = converse(join(one,converse(complement(one)))),
inference(forward_demodulation,[],[f80974,f80536]) ).
fof(f81552,plain,
! [X0] : join(converse(complement(X0)),converse(complement(complement(X0)))) = join(converse(one),converse(converse(complement(one)))),
inference(forward_demodulation,[],[f81386,f11]) ).
fof(f81661,plain,
! [X0] : join(converse(complement(X0)),converse(complement(complement(X0)))) = join(converse(one),complement(one)),
inference(forward_demodulation,[],[f81552,f10]) ).
fof(f81738,plain,
! [X0] : join(converse(complement(X0)),converse(complement(complement(X0)))) = join(complement(one),converse(one)),
inference(forward_demodulation,[],[f81661,f1]) ).
fof(f81796,plain,
! [X0] : join(converse(complement(X0)),converse(complement(complement(X0)))) = join(complement(one),one),
inference(forward_demodulation,[],[f81738,f267]) ).
fof(f81830,plain,
! [X0] : join(converse(complement(X0)),converse(complement(complement(X0)))) = join(one,complement(one)),
inference(forward_demodulation,[],[f81796,f1]) ).
fof(f81847,plain,
! [X0] : join(converse(complement(X0)),converse(X0)) = join(one,complement(one)),
inference(forward_demodulation,[],[f81830,f14508]) ).
fof(f81857,plain,
! [X0] : join(converse(X0),converse(complement(X0))) = join(one,complement(one)),
inference(forward_demodulation,[],[f81847,f1]) ).
fof(f87525,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = join(one,complement(one)),
inference(superposition,[],[f81857,f10]) ).
fof(f87584,plain,
! [X0,X1] : join(X0,complement(X0)) = join(converse(X1),converse(complement(X1))),
inference(superposition,[],[f81857,f29]) ).
fof(f91058,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X1))),complement(join(converse(X0),converse(complement(X0))))) = X1,
inference(superposition,[],[f12111,f87584]) ).
fof(f91263,plain,
! [X0,X1] : join(complement(complement(X1)),complement(join(converse(X0),converse(complement(X0))))) = X1,
inference(forward_demodulation,[],[f91058,f14650]) ).
fof(f91454,plain,
! [X0,X1] : join(X1,complement(join(converse(X0),converse(complement(X0))))) = X1,
inference(forward_demodulation,[],[f91263,f14508]) ).
fof(f120722,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f13923,f21545]) ).
fof(f121133,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f120722,f14508]) ).
fof(f121801,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
inference(superposition,[],[f121133,f14508]) ).
fof(f122664,plain,
! [X0] : join(X0,complement(join(one,complement(one)))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f121801,f87525]) ).
fof(f122828,plain,
! [X0] : converse(X0) = join(converse(X0),complement(converse(complement(X0)))),
inference(superposition,[],[f121801,f91454]) ).
fof(f123233,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f122664,f14857]) ).
fof(f124167,plain,
! [X0] : converse(converse(X0)) = join(converse(converse(X0)),converse(complement(converse(complement(X0))))),
inference(superposition,[],[f11,f122828]) ).
fof(f124222,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f124167,f10]) ).
fof(f124641,plain,
! [X0] : complement(converse(complement(converse(complement(X0))))) = join(complement(converse(complement(converse(complement(X0))))),complement(X0)),
inference(superposition,[],[f21545,f124222]) ).
fof(f124696,plain,
! [X0] : complement(converse(complement(converse(complement(X0))))) = join(complement(X0),complement(converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[],[f124641,f1]) ).
fof(f124773,plain,
! [X0] : complement(X0) = complement(converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f124696,f123233]) ).
fof(f125015,plain,
! [X0,X1] : join(converse(complement(join(complement(X0),X1))),converse(complement(join(complement(X0),complement(X1))))) = converse(converse(complement(converse(complement(X0))))),
inference(superposition,[],[f13802,f124773]) ).
fof(f125280,plain,
! [X0,X1] : complement(converse(complement(X0))) = join(converse(complement(join(complement(X0),X1))),converse(complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f125015,f10]) ).
fof(f125459,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(forward_demodulation,[],[f125280,f13802]) ).
fof(f126796,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(superposition,[],[f125459,f14508]) ).
fof(f128391,plain,
complement(join(complement(converse(sk1)),complement(converse(sk2)))) != complement(converse(join(complement(sk1),complement(sk2)))),
inference(superposition,[],[f28,f126796]) ).
fof(f128618,plain,
complement(join(complement(converse(sk1)),complement(converse(sk2)))) != complement(join(converse(complement(sk1)),converse(complement(sk2)))),
inference(forward_demodulation,[],[f128391,f11]) ).
fof(f128736,plain,
complement(join(complement(converse(sk1)),complement(converse(sk2)))) != complement(join(converse(complement(sk1)),complement(converse(sk2)))),
inference(forward_demodulation,[],[f128618,f126796]) ).
fof(f128824,plain,
complement(join(complement(converse(sk1)),complement(converse(sk2)))) != complement(join(complement(converse(sk1)),complement(converse(sk2)))),
inference(forward_demodulation,[],[f128736,f126796]) ).
fof(f128825,plain,
$false,
inference(trivial_inequality_removal,[],[f128824]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL005-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n012.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:49:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 7.35/1.60 % (2837014)Will run a generic schedule for satisfiability detection.
% 7.35/1.60 % (2837028)% WARNING: option uhcvi not known.
% 7.35/1.60 % (2837030)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=132949835:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.35/1.60 % (2837033)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1929346256:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.35/1.60 % (2837032)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2076166831:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.35/1.60 % (2837027)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2031741790_2999 on theBenchmark for (2999ds/0Mi)
% 7.35/1.60 % (2837034)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3074921875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.35/1.60 % (2837028)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1440514199:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.35/1.60 % (2837031)dis+10_1_sil=32000:sp=arity:random_seed=2298115885:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.35/1.60 % TRYING [1]
% 7.35/1.60 % TRYING [2]
% 7.35/1.60 % TRYING [3]
% 7.35/1.60 % TRYING [4]
% 7.35/1.60 % (2837031)Instruction limit reached!
% 7.35/1.60 % (2837031)------------------------------
% 7.35/1.60 % (2837031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.60 % (2837031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.60 % (2837031)CaDiCaL version: 2.1.3
% 7.35/1.60 % (2837031)Termination reason: Instruction limit
% 7.35/1.60 % (2837031)Termination phase: Saturation
% 7.35/1.60 % (2837031)Time elapsed: 0.032 s
% 7.35/1.60 % (2837031)Peak memory usage: 12 MB
% 7.35/1.60 % (2837031)Instructions burned: 103 (million)
% 7.35/1.60 % (2837032)Instruction limit reached!
% 7.35/1.60 % (2837032)------------------------------
% 7.35/1.60 % (2837032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.60 % (2837032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.60 % (2837032)CaDiCaL version: 2.1.3
% 7.35/1.60 % (2837032)Termination reason: Instruction limit
% 7.35/1.60 % (2837032)Termination phase: Saturation
% 7.35/1.60 % (2837032)Time elapsed: 0.038 s
% 7.35/1.60 % (2837032)Peak memory usage: 12 MB
% 7.35/1.60 % (2837032)Instructions burned: 117 (million)
% 7.35/1.60 % (2837033)Instruction limit reached!
% 7.35/1.60 % (2837033)------------------------------
% 7.35/1.60 % (2837033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.60 % (2837033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.60 % (2837033)CaDiCaL version: 2.1.3
% 7.35/1.60 % (2837033)Termination reason: Instruction limit
% 7.35/1.60 % (2837033)Termination phase: Saturation
% 7.35/1.60 % (2837033)Time elapsed: 0.042 s
% 7.35/1.60 % (2837033)Peak memory usage: 12 MB
% 7.35/1.60 % (2837033)Instructions burned: 133 (million)
% 7.35/1.60 % (2837056)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1833195346:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.35/1.60 % (2837059)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2643302764:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.35/1.60 % TRYING [1]
% 7.35/1.60 % TRYING [2]
% 7.35/1.60 % TRYING [3]
% 7.35/1.60 % (2837060)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=1316732273:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.35/1.60 % (2837034)Instruction limit reached!
% 7.35/1.60 % (2837034)------------------------------
% 7.35/1.60 % (2837034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.60 % (2837034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.60 % (2837034)CaDiCaL version: 2.1.3
% 7.35/1.60 % (2837034)Termination reason: Instruction limit
% 7.35/1.60 % (2837034)Termination phase: Saturation
% 7.35/1.60 % (2837034)Time elapsed: 0.053 s
% 7.35/1.60 % (2837034)Peak memory usage: 13 MB
% 7.35/1.60 % (2837034)Instructions burned: 160 (million)
% 7.35/1.60 % (2837065)ott-21_1_sil=16000:fs=off:random_seed=1737935979:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 7.35/1.60 % TRYING [4]
% 7.35/1.60 % (2837059)Instruction limit reached!
% 7.35/1.60 % (2837059)------------------------------
% 7.35/1.60 % (2837059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.60 % (2837059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.59/3.92 % (2837059)CaDiCaL version: 2.1.3
% 23.59/3.92 % (2837059)Termination reason: Instruction limit
% 23.59/3.92 % (2837059)Termination phase: Saturation
% 23.59/3.92 % (2837059)Time elapsed: 0.046 s
% 23.59/3.92 % (2837059)Peak memory usage: 13 MB
% 23.59/3.92 % (2837059)Instructions burned: 134 (million)
% 23.59/3.92 % (2837077)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2059838542:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 23.59/3.92 % (2837065)Instruction limit reached!
% 23.59/3.92 % (2837065)------------------------------
% 23.59/3.92 % (2837065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.59/3.92 % (2837065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.59/3.92 % (2837065)CaDiCaL version: 2.1.3
% 23.59/3.92 % (2837065)Termination reason: Instruction limit
% 23.59/3.92 % (2837065)Termination phase: Saturation
% 23.59/3.92 % (2837065)Time elapsed: 0.046 s
% 23.59/3.92 % (2837065)Peak memory usage: 12 MB
% 23.59/3.92 % (2837065)Instructions burned: 180 (million)
% 23.59/3.92 % (2837085)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3962545840:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 23.59/3.92 % TRYING [5]
% 23.59/3.92 % TRYING [1]
% 23.59/3.92 % TRYING [2]
% 23.59/3.92 % TRYING [3]
% 23.59/3.92 % TRYING [4]
% 23.59/3.92 % TRYING [5]
% 23.59/3.92 % (2837056)Instruction limit reached!
% 23.59/3.92 % (2837056)------------------------------
% 23.59/3.92 % (2837056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.59/3.92 % (2837056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.59/3.92 % (2837056)CaDiCaL version: 2.1.3
% 23.59/3.92 % (2837056)Termination reason: Instruction limit
% 23.59/3.92 % (2837056)Termination phase: Finite model building constraint generation
% 23.59/3.92 % (2837056)Time elapsed: 0.167 s
% 23.59/3.92 % (2837056)Peak memory usage: 28 MB
% 23.59/3.92 % (2837056)Instructions burned: 720 (million)
% 23.59/3.92 % (2837120)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3417384864:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 23.59/3.92 % (2837060)Instruction limit reached!
% 23.59/3.92 % (2837060)------------------------------
% 23.59/3.92 % (2837060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.59/3.92 % (2837060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.59/3.92 % (2837060)CaDiCaL version: 2.1.3
% 23.59/3.92 % (2837060)Termination reason: Instruction limit
% 23.59/3.92 % (2837060)Termination phase: Saturation
% 23.59/3.92 % (2837060)Time elapsed: 0.190 s
% 23.59/3.92 % (2837060)Peak memory usage: 18 MB
% 23.59/3.92 % (2837060)Instructions burned: 687 (million)
% 23.59/3.92 % (2837077)Instruction limit reached!
% 23.59/3.92 % (2837077)------------------------------
% 23.59/3.92 % (2837077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.59/3.92 % (2837077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.59/3.92 % (2837077)CaDiCaL version: 2.1.3
% 23.59/3.92 % (2837077)Termination reason: Instruction limit
% 23.59/3.92 % (2837077)Termination phase: Saturation
% 23.59/3.92 % (2837077)Time elapsed: 0.139 s
% 23.59/3.92 % (2837077)Peak memory usage: 16 MB
% 23.59/3.92 % (2837077)Instructions burned: 481 (million)
% 23.59/3.92 % (2837141)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3457409784:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 23.59/3.92 % (2837144)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=3773445570:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 23.59/3.92 % (2837085)Instruction limit reached!
% 23.59/3.92 % (2837085)------------------------------
% 23.59/3.92 % (2837085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.59/3.92 % (2837085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.59/3.92 % (2837085)CaDiCaL version: 2.1.3
% 23.59/3.92 % (2837085)Termination reason: Instruction limit
% 23.59/3.92 % (2837085)Termination phase: Finite model building SAT solving
% 23.59/3.92 % (2837085)Time elapsed: 0.165 s
% 23.59/3.92 % (2837085)Peak memory usage: 23 MB
% 23.59/3.92 % (2837085)Instructions burned: 869 (million)
% 23.59/3.92 % (2837155)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=343136553:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 23.59/3.92 % (2837144)Instruction limit reached!
% 23.59/3.92 % (2837144)------------------------------
% 18.78/6.64 % (2837144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837144)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837144)Termination reason: Instruction limit
% 18.78/6.64 % (2837144)Termination phase: Saturation
% 18.78/6.64 % (2837144)Time elapsed: 0.221 s
% 18.78/6.64 % (2837144)Peak memory usage: 19 MB
% 18.78/6.64 % (2837144)Instructions burned: 694 (million)
% 18.78/6.64 % (2837157)fmb+10_1_sil=64000:random_seed=962639053:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 18.78/6.64 % TRYING [1]
% 18.78/6.64 % TRYING [2]
% 18.78/6.64 % (2837141)Instruction limit reached!
% 18.78/6.64 % (2837141)------------------------------
% 18.78/6.64 % (2837141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837141)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837141)Termination reason: Instruction limit
% 18.78/6.64 % (2837141)Termination phase: Finite model building constraint generation
% 18.78/6.64 % (2837141)Time elapsed: 0.241 s
% 18.78/6.64 % (2837141)Peak memory usage: 106 MB
% 18.78/6.64 % (2837141)Instructions burned: 890 (million)
% 18.78/6.64 % TRYING [3]
% 18.78/6.64 % (2837159)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3839003930:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 18.78/6.64 % TRYING [20]
% 18.78/6.64 % TRYING [6]
% 18.78/6.64 % TRYING [4]
% 18.78/6.64 % (2837155)Instruction limit reached!
% 18.78/6.64 % (2837155)------------------------------
% 18.78/6.64 % (2837155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837155)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837155)Termination reason: Instruction limit
% 18.78/6.64 % (2837155)Termination phase: Saturation
% 18.78/6.64 % (2837155)Time elapsed: 0.251 s
% 18.78/6.64 % (2837155)Peak memory usage: 18 MB
% 18.78/6.64 % (2837155)Instructions burned: 882 (million)
% 18.78/6.64 % (2837120)Instruction limit reached!
% 18.78/6.64 % (2837120)------------------------------
% 18.78/6.64 % (2837120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837120)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837120)Termination reason: Instruction limit
% 18.78/6.64 % (2837120)Termination phase: Saturation
% 18.78/6.64 % (2837120)Time elapsed: 0.327 s
% 18.78/6.64 % (2837120)Peak memory usage: 21 MB
% 18.78/6.64 % (2837120)Instructions burned: 1180 (million)
% 18.78/6.64 % (2837161)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2793938108:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 18.78/6.64 % (2837162)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1878451943:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 18.78/6.64 % TRYING [8]
% 18.78/6.64 % TRYING [5]
% 18.78/6.64 % (2837161)Instruction limit reached!
% 18.78/6.64 % (2837161)------------------------------
% 18.78/6.64 % (2837161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837161)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837161)Termination reason: Instruction limit
% 18.78/6.64 % (2837161)Termination phase: Finite model building constraint generation
% 18.78/6.64 % (2837161)Time elapsed: 0.178 s
% 18.78/6.64 % (2837161)Peak memory usage: 75 MB
% 18.78/6.64 % (2837161)Instructions burned: 926 (million)
% 18.78/6.64 % (2837165)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2262562659:i=1472:ins=7:fdi=8:gsp=on_2992 on theBenchmark for (2992ds/1472Mi)
% 18.78/6.64 % (2837165)Instruction limit reached!
% 18.78/6.64 % (2837165)------------------------------
% 18.78/6.64 % (2837165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837165)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837165)Termination reason: Instruction limit
% 18.78/6.64 % (2837165)Termination phase: Saturation
% 18.78/6.64 % (2837165)Time elapsed: 0.389 s
% 18.78/6.64 % (2837165)Peak memory usage: 24 MB
% 18.78/6.64 % (2837165)Instructions burned: 1475 (million)
% 18.78/6.64 % (2837167)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2996416723:i=6324_2988 on theBenchmark for (2988ds/6324Mi)
% 18.78/6.64 % (2837167)Cannot represent all propositional literals internally
% 18.78/6.64 % (2837167)Refutation not found, incomplete strategy
% 18.78/6.64 % (2837167)------------------------------
% 18.78/6.64 % (2837167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837167)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837167)Termination reason: Refutation not found, incomplete strategy
% 18.78/6.64 % (2837167)Time elapsed: 0.004 s
% 18.78/6.64 % (2837167)Peak memory usage: 10 MB
% 18.78/6.64 % (2837167)Instructions burned: 14 (million)
% 18.78/6.64 % (2837167)------------------------------
% 18.78/6.64 % (2837167)------------------------------
% 18.78/6.64 % (2837169)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=550809830:fmbsr=2.30978:i=2174_2988 on theBenchmark for (2988ds/2174Mi)
% 18.78/6.64 % TRYING [16]
% 18.78/6.64 % TRYING [6]
% 18.78/6.64 % (2837169)Instruction limit reached!
% 18.78/6.64 % (2837169)------------------------------
% 18.78/6.64 % (2837169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837169)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837169)Termination reason: Instruction limit
% 18.78/6.64 % (2837169)Termination phase: Finite model building constraint generation
% 18.78/6.64 % (2837169)Time elapsed: 0.408 s
% 18.78/6.64 % (2837169)Peak memory usage: 132 MB
% 18.78/6.64 % (2837169)Instructions burned: 2177 (million)
% 18.78/6.64 % (2837171)ott-2_1_sil=16000:newcnf=on:random_seed=2487646918:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2983 on theBenchmark for (2983ds/869Mi)
% 18.78/6.64 % (2837171)Instruction limit reached!
% 18.78/6.64 % (2837171)------------------------------
% 18.78/6.64 % (2837171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837171)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837171)Termination reason: Instruction limit
% 18.78/6.64 % (2837171)Termination phase: Saturation
% 18.78/6.64 % (2837171)Time elapsed: 0.282 s
% 18.78/6.64 % (2837171)Peak memory usage: 20 MB
% 18.78/6.64 % (2837171)Instructions burned: 872 (million)
% 18.78/6.64 % (2837173)ott+10_1_sil=32000:tgt=ground:random_seed=3182881513:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 18.78/6.64 % (2837162)Instruction limit reached!
% 18.78/6.64 % (2837162)------------------------------
% 18.78/6.64 % (2837162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837162)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837162)Termination reason: Instruction limit
% 18.78/6.64 % (2837162)Termination phase: Saturation
% 18.78/6.64 % (2837162)Time elapsed: 1.504 s
% 18.78/6.64 % (2837162)Peak memory usage: 56 MB
% 18.78/6.64 % (2837162)Instructions burned: 5132 (million)
% 18.78/6.64 % (2837175)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=292286567:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 18.78/6.64 % TRYING [1]
% 18.78/6.64 % TRYING [2]
% 18.78/6.64 % TRYING [3]
% 18.78/6.64 % TRYING [4]
% 18.78/6.64 % TRYING [7]
% 18.78/6.64 % TRYING [5]
% 18.78/6.64 % (2837159)Instruction limit reached!
% 18.78/6.64 % (2837159)------------------------------
% 18.78/6.64 % (2837159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837159)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837159)Termination reason: Instruction limit
% 18.78/6.64 % (2837159)Termination phase: Finite model building constraint generation
% 18.78/6.64 % (2837159)Time elapsed: 1.870 s
% 18.78/6.64 % (2837159)Peak memory usage: 675 MB
% 18.78/6.64 % (2837159)Instructions burned: 9516 (million)
% 18.78/6.64 % (2837177)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3459928029:i=3512:aac=none_2975 on theBenchmark for (2975ds/3512Mi)
% 18.78/6.64 % TRYING [6]
% 18.78/6.64 % (2837177)Instruction limit reached!
% 18.78/6.64 % (2837177)------------------------------
% 18.78/6.64 % (2837177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837177)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837177)Termination reason: Instruction limit
% 18.78/6.64 % (2837177)Termination phase: Saturation
% 18.78/6.64 % (2837177)Time elapsed: 1.012 s
% 18.78/6.64 % (2837177)Peak memory usage: 40 MB
% 18.78/6.64 % (2837177)Instructions burned: 3512 (million)
% 18.78/6.64 % (2837179)dis+21_1_sil=32000:sas=cadical:random_seed=656108993:i=3773:amm=off_2965 on theBenchmark for (2965ds/3773Mi)
% 18.78/6.64 % (2837173)Instruction limit reached!
% 18.78/6.64 % (2837173)------------------------------
% 18.78/6.64 % (2837173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837173)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837173)Termination reason: Instruction limit
% 18.78/6.64 % (2837173)Termination phase: Saturation
% 18.78/6.64 % (2837173)Time elapsed: 1.656 s
% 18.78/6.64 % (2837173)Peak memory usage: 65 MB
% 18.78/6.64 % (2837173)Instructions burned: 5115 (million)
% 18.78/6.64 % (2837181)ott+11_1_sil=16000:gs=on:random_seed=2372622848:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2964 on theBenchmark for (2964ds/2251Mi)
% 18.78/6.64 % TRYING [7]
% 18.78/6.64 % (2837181)Instruction limit reached!
% 18.78/6.64 % (2837181)------------------------------
% 18.78/6.64 % (2837181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837181)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837181)Termination reason: Instruction limit
% 18.78/6.64 % (2837181)Termination phase: Saturation
% 18.78/6.64 % (2837181)Time elapsed: 0.707 s
% 18.78/6.64 % (2837181)Peak memory usage: 29 MB
% 18.78/6.64 % (2837181)Instructions burned: 2253 (million)
% 18.78/6.64 % (2837183)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3811724477:fmbsr=1.6:i=67534_2956 on theBenchmark for (2956ds/67534Mi)
% 18.78/6.64 % TRYING [7]
% 18.78/6.64 % TRYING [7]
% 18.78/6.64 % (2837179)Instruction limit reached!
% 18.78/6.64 % (2837179)------------------------------
% 18.78/6.64 % (2837179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837179)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837179)Termination reason: Instruction limit
% 18.78/6.64 % (2837179)Termination phase: Saturation
% 18.78/6.64 % (2837179)Time elapsed: 1.096 s
% 18.78/6.64 % (2837179)Peak memory usage: 42 MB
% 18.78/6.64 % (2837179)Instructions burned: 3775 (million)
% 18.78/6.64 % (2837185)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2688326800:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2953 on theBenchmark for (2953ds/4591Mi)
% 18.78/6.64 % (2837157)Instruction limit reached!
% 18.78/6.64 % (2837157)------------------------------
% 18.78/6.64 % (2837157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837157)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837157)Termination reason: Instruction limit
% 18.78/6.64 % (2837157)Termination phase: Finite model building constraint generation
% 18.78/6.64 % (2837157)Time elapsed: 4.343 s
% 18.78/6.64 % (2837157)Peak memory usage: 252 MB
% 18.78/6.64 % (2837157)Instructions burned: 22061 (million)
% 18.78/6.64 % (2837187)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2932388416:i=29340_2951 on theBenchmark for (2951ds/29340Mi)
% 18.78/6.64 % (2837185)Instruction limit reached!
% 18.78/6.64 % (2837185)------------------------------
% 18.78/6.64 % (2837185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837185)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837185)Termination reason: Instruction limit
% 18.78/6.64 % (2837185)Termination phase: Saturation
% 18.78/6.64 % (2837185)Time elapsed: 1.305 s
% 18.78/6.64 % (2837185)Peak memory usage: 56 MB
% 18.78/6.64 % (2837185)Instructions burned: 4593 (million)
% 18.78/6.64 % (2837189)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=678068709:i=5211_2940 on theBenchmark for (2940ds/5211Mi)
% 18.78/6.64 % (2837187) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2837014-2837187"...
% 18.78/6.64 % (2837187)...printing done.
% 18.78/6.64 % (2837187)Refutation found. Thanks to Tanya!
% 18.78/6.64 % SZS status Unsatisfiable for theBenchmark
% 18.78/6.64 % SZS output start Proof for theBenchmark
% See solution above
% 18.78/6.64 % (2837187)------------------------------
% 18.78/6.64 % (2837187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/6.64 % (2837187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/6.64 % (2837187)CaDiCaL version: 2.1.3
% 18.78/6.64 % (2837187)Termination reason: Refutation
% 18.78/6.64 % (2837187)Time elapsed: 1.294 s
% 18.78/6.64 % (2837187)Peak memory usage: 39 MB
% 18.78/6.64 % (2837187)Instructions burned: 4617 (million)
% 18.78/6.64 % (2837014)Success in time 6.233 s
% 18.78/6.64 % Vampire exiting
%------------------------------------------------------------------------------