%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : REL010-2 : 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 : n013.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 12:34:15 PM UTC 2026
% Result : Unsatisfiable 6.89s 2.42s
% Output : Refutation 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 16
% Syntax : Number of formulae : 116 ( 116 unt; 0 def)
% Number of atoms : 116 ( 115 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 108 ( 108 !; 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(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(f17,axiom,
! [X2,X0,X1] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-1.ax',dedekind_law_14) ).
fof(f18,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X2,X0,X1] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-1.ax',modular_law_1_15) ).
fof(f20,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(reorient_equations,[],[f19]) ).
fof(f23,negated_conjecture,
meet(composition(sk1,sk2),sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
zero = meet(composition(sk1,sk2),sk3),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
meet(sk2,composition(converse(sk1),sk3)) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
zero != meet(sk2,composition(converse(sk1),sk3)),
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f28,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
inference(definition_unfolding,[],[f18,f6,f6,f6,f6,f6]) ).
fof(f29,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f20,f6,f6,f6,f6,f6]) ).
fof(f31,plain,
zero = complement(join(complement(composition(sk1,sk2)),complement(sk3))),
inference(definition_unfolding,[],[f24,f6]) ).
fof(f32,plain,
zero != complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),
inference(definition_unfolding,[],[f26,f6]) ).
fof(f33,plain,
top = join(join(complement(composition(sk1,sk2)),complement(sk3)),zero),
inference(superposition,[],[f15,f31]) ).
fof(f34,plain,
zero = complement(join(complement(sk3),complement(composition(sk1,sk2)))),
inference(superposition,[],[f31,f1]) ).
fof(f37,plain,
zero = complement(top),
inference(forward_demodulation,[],[f27,f15]) ).
fof(f39,plain,
top = join(join(complement(sk3),complement(composition(sk1,sk2))),zero),
inference(forward_demodulation,[],[f33,f1]) ).
fof(f40,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f46,plain,
top = join(zero,join(complement(sk3),complement(composition(sk1,sk2)))),
inference(superposition,[],[f39,f1]) ).
fof(f59,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f60,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f2,f1]) ).
fof(f72,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f85,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X2,X1)) = composition(join(X2,X0),X1),
inference(superposition,[],[f9,f1]) ).
fof(f99,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))),
inference(superposition,[],[f14,f1]) ).
fof(f106,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(composition(sk1,sk2)),complement(sk3))))) = X0,
inference(superposition,[],[f4,f31]) ).
fof(f110,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f4,f15]) ).
fof(f117,plain,
! [X0] : top = join(complement(join(zero,complement(X0))),complement(join(zero,X0))),
inference(superposition,[],[f4,f37]) ).
fof(f126,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f134,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f110,f37]) ).
fof(f138,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(sk3),complement(composition(sk1,sk2)))))) = X0,
inference(forward_demodulation,[],[f106,f1]) ).
fof(f141,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),join(complement(sk3),complement(composition(sk1,sk2)))))) = X0,
inference(forward_demodulation,[],[f138,f1]) ).
fof(f146,plain,
! [X2,X0,X1] : complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2))))))))),
inference(forward_demodulation,[],[f29,f1]) ).
fof(f162,plain,
! [X2,X0,X1] : complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1)))))))) = join(complement(join(complement(composition(converse(X0),X2)),complement(X1))),complement(join(complement(X1),complement(composition(converse(X0),complement(join(complement(X2),complement(composition(X0,X1))))))))),
inference(superposition,[],[f146,f10]) ).
fof(f229,plain,
composition(complement(join(complement(sk1),complement(composition(sk3,converse(sk2))))),complement(join(complement(sk2),complement(composition(converse(sk1),sk3))))) = join(zero,composition(complement(join(complement(sk1),complement(composition(sk3,converse(sk2))))),complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))))),
inference(superposition,[],[f28,f31]) ).
fof(f320,plain,
top = join(complement(join(zero,zero)),complement(join(zero,join(complement(sk3),complement(composition(sk1,sk2)))))),
inference(superposition,[],[f141,f37]) ).
fof(f328,plain,
top = join(complement(join(zero,zero)),complement(top)),
inference(forward_demodulation,[],[f320,f46]) ).
fof(f333,plain,
top = join(complement(join(zero,zero)),zero),
inference(forward_demodulation,[],[f328,f37]) ).
fof(f339,plain,
top = join(zero,complement(join(zero,zero))),
inference(superposition,[],[f333,f1]) ).
fof(f342,plain,
! [X0] : join(top,X0) = join(complement(join(zero,zero)),join(zero,X0)),
inference(superposition,[],[f2,f333]) ).
fof(f356,plain,
! [X0] : join(top,X0) = join(zero,join(complement(join(zero,zero)),X0)),
inference(superposition,[],[f2,f339]) ).
fof(f421,plain,
join(complement(join(zero,zero)),top) = join(top,complement(zero)),
inference(superposition,[],[f342,f15]) ).
fof(f443,plain,
join(zero,zero) = join(complement(join(complement(join(zero,zero)),complement(top))),complement(join(top,complement(zero)))),
inference(superposition,[],[f4,f421]) ).
fof(f448,plain,
join(zero,zero) = join(complement(join(complement(top),complement(join(zero,zero)))),complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f443,f1]) ).
fof(f449,plain,
join(zero,zero) = join(complement(join(zero,complement(join(zero,zero)))),complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f448,f37]) ).
fof(f450,plain,
join(zero,zero) = join(complement(top),complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f449,f339]) ).
fof(f451,plain,
join(zero,zero) = join(zero,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f450,f37]) ).
fof(f568,plain,
join(top,complement(join(top,complement(zero)))) = join(complement(join(zero,zero)),join(zero,zero)),
inference(superposition,[],[f342,f451]) ).
fof(f572,plain,
join(top,zero) = join(top,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f568,f342]) ).
fof(f573,plain,
join(zero,top) = join(top,complement(join(top,complement(zero)))),
inference(forward_demodulation,[],[f572,f1]) ).
fof(f647,plain,
join(zero,join(top,complement(zero))) = join(top,top),
inference(superposition,[],[f356,f421]) ).
fof(f1022,plain,
top = join(zero,join(composition(complement(join(complement(sk1),complement(composition(sk3,converse(sk2))))),complement(join(complement(sk2),complement(composition(converse(sk1),sk3))))),complement(composition(complement(join(complement(sk1),complement(composition(sk3,converse(sk2))))),complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))))))),
inference(superposition,[],[f59,f229]) ).
fof(f1061,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f1022,f15]) ).
fof(f1116,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f2,f1061]) ).
fof(f1122,plain,
join(complement(sk3),complement(composition(sk1,sk2))) = join(zero,complement(join(zero,zero))),
inference(superposition,[],[f134,f34]) ).
fof(f1132,plain,
top = join(complement(sk3),complement(composition(sk1,sk2))),
inference(forward_demodulation,[],[f1122,f339]) ).
fof(f1291,plain,
! [X0] : join(zero,join(top,X0)) = join(X0,top),
inference(superposition,[],[f60,f1061]) ).
fof(f1520,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[],[f1116,f647]) ).
fof(f1571,plain,
join(zero,top) = join(top,complement(join(top,top))),
inference(superposition,[],[f573,f1520]) ).
fof(f1581,plain,
top = join(top,complement(join(top,top))),
inference(forward_demodulation,[],[f1571,f1061]) ).
fof(f1684,plain,
top = join(top,top),
inference(superposition,[],[f59,f1581]) ).
fof(f1863,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,join(complement(sk3),complement(composition(sk1,sk2))))))),
inference(superposition,[],[f99,f34]) ).
fof(f1888,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(forward_demodulation,[],[f1863,f1132]) ).
fof(f1917,plain,
join(complement(zero),top) = join(top,top),
inference(superposition,[],[f647,f1291]) ).
fof(f1935,plain,
top = join(complement(zero),top),
inference(forward_demodulation,[],[f1917,f1684]) ).
fof(f3451,plain,
! [X0] : join(zero,X0) = join(complement(join(complement(zero),complement(top))),join(complement(top),X0)),
inference(superposition,[],[f126,f1935]) ).
fof(f3532,plain,
! [X0] : join(zero,X0) = join(complement(join(complement(zero),zero)),join(zero,X0)),
inference(forward_demodulation,[],[f3451,f37]) ).
fof(f3592,plain,
! [X0] : join(zero,X0) = join(complement(join(zero,complement(zero))),join(zero,X0)),
inference(forward_demodulation,[],[f3532,f1]) ).
fof(f3628,plain,
! [X0] : join(zero,X0) = join(complement(top),join(zero,X0)),
inference(forward_demodulation,[],[f3592,f15]) ).
fof(f3648,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f3628,f37]) ).
fof(f5190,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f3648,f134]) ).
fof(f5377,plain,
complement(join(complement(sk2),complement(composition(converse(sk1),zero)))) = join(complement(join(complement(composition(converse(sk1),sk3)),complement(sk2))),complement(join(complement(sk2),complement(composition(converse(sk1),zero))))),
inference(superposition,[],[f162,f34]) ).
fof(f5412,plain,
complement(join(complement(sk2),complement(composition(converse(sk1),zero)))) = join(complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),complement(join(complement(sk2),complement(composition(converse(sk1),zero))))),
inference(forward_demodulation,[],[f5377,f1]) ).
fof(f5453,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f5190,f134]) ).
fof(f5457,plain,
top = complement(zero),
inference(superposition,[],[f5190,f15]) ).
fof(f5458,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f5190,f1]) ).
fof(f7860,plain,
! [X0] : top = join(complement(X0),join(complement(X0),X0)),
inference(superposition,[],[f59,f5453]) ).
fof(f7876,plain,
! [X0] : top = join(complement(join(zero,X0)),complement(join(zero,join(complement(X0),complement(X0))))),
inference(superposition,[],[f117,f5453]) ).
fof(f7977,plain,
! [X0] : top = join(complement(join(zero,X0)),complement(join(complement(X0),complement(X0)))),
inference(forward_demodulation,[],[f7876,f5190]) ).
fof(f7978,plain,
! [X0] : top = join(complement(X0),join(X0,complement(X0))),
inference(forward_demodulation,[],[f7860,f1]) ).
fof(f8065,plain,
! [X0] : top = join(complement(join(zero,X0)),X0),
inference(forward_demodulation,[],[f7977,f5453]) ).
fof(f8066,plain,
! [X0] : top = join(complement(X0),top),
inference(forward_demodulation,[],[f7978,f15]) ).
fof(f8118,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[],[f8065,f5190]) ).
fof(f8279,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f8066,f5453]) ).
fof(f8435,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f8279,f1]) ).
fof(f8474,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(superposition,[],[f40,f8279]) ).
fof(f10913,plain,
top = converse(top),
inference(superposition,[],[f8474,f8118]) ).
fof(f11431,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(superposition,[],[f1888,f5190]) ).
fof(f18975,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f11431,f10913]) ).
fof(f20091,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = join(zero,composition(X0,complement(composition(top,top)))),
inference(superposition,[],[f85,f18975]) ).
fof(f20215,plain,
! [X0] : composition(join(X0,top),complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f20091,f5190]) ).
fof(f20282,plain,
! [X0] : composition(top,complement(composition(top,top))) = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f20215,f8279]) ).
fof(f20348,plain,
! [X0] : zero = composition(X0,complement(composition(top,top))),
inference(forward_demodulation,[],[f20282,f18975]) ).
fof(f20716,plain,
! [X0] : composition(X0,zero) = composition(X0,complement(composition(top,top))),
inference(superposition,[],[f72,f20348]) ).
fof(f20784,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f20716,f20348]) ).
fof(f33311,plain,
complement(join(complement(sk2),complement(zero))) = join(complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),complement(join(complement(sk2),complement(zero)))),
inference(forward_demodulation,[],[f5412,f20784]) ).
fof(f33312,plain,
complement(join(complement(zero),complement(sk2))) = join(complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),complement(join(complement(zero),complement(sk2)))),
inference(forward_demodulation,[],[f33311,f1]) ).
fof(f33313,plain,
complement(join(top,complement(sk2))) = join(complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),complement(join(top,complement(sk2)))),
inference(forward_demodulation,[],[f33312,f5457]) ).
fof(f33314,plain,
complement(top) = join(complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),complement(top)),
inference(forward_demodulation,[],[f33313,f8435]) ).
fof(f33315,plain,
zero = join(complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),zero),
inference(forward_demodulation,[],[f33314,f37]) ).
fof(f33319,plain,
zero = complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))),
inference(superposition,[],[f5458,f33315]) ).
fof(f33370,plain,
$false,
inference(forward_subsumption_resolution,[],[f33319,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL010-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:49:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 6.89/2.42 % (634260)Will run a generic schedule for satisfiability detection.
% 6.89/2.42 % (634270)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1929928604:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.89/2.42 % (634266)% WARNING: option uhcvi not known.
% 6.89/2.42 % (634271)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=988135049:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.89/2.42 % (634265)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2912010571_2999 on theBenchmark for (2999ds/0Mi)
% 6.89/2.42 % (634267)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3251305358:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.89/2.42 % (634268)dis+10_1_sil=32000:sp=arity:random_seed=2985224777:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.89/2.42 % (634269)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=331109975:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.89/2.42 % (634266)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2881712647:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.89/2.42 % TRYING [1]
% 6.89/2.42 % TRYING [2]
% 6.89/2.42 % TRYING [3]
% 6.89/2.42 % (634270)Instruction limit reached!
% 6.89/2.42 % (634270)------------------------------
% 6.89/2.42 % (634270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634270)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634270)Termination reason: Instruction limit
% 6.89/2.42 % (634270)Termination phase: Saturation
% 6.89/2.42 % (634270)Time elapsed: 0.044 s
% 6.89/2.42 % (634270)Peak memory usage: 13 MB
% 6.89/2.42 % (634270)Instructions burned: 133 (million)
% 6.89/2.42 % TRYING [4]
% 6.89/2.42 % (634279)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3825193843:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.89/2.42 % TRYING [1]
% 6.89/2.42 % TRYING [2]
% 6.89/2.42 % TRYING [3]
% 6.89/2.42 % (634268)Instruction limit reached!
% 6.89/2.42 % (634268)------------------------------
% 6.89/2.42 % (634268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634268)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634268)Termination reason: Instruction limit
% 6.89/2.42 % (634268)Termination phase: Saturation
% 6.89/2.42 % (634268)Time elapsed: 0.059 s
% 6.89/2.42 % (634268)Peak memory usage: 12 MB
% 6.89/2.42 % (634268)Instructions burned: 104 (million)
% 6.89/2.42 % (634269)Instruction limit reached!
% 6.89/2.42 % (634269)------------------------------
% 6.89/2.42 % (634269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634269)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634269)Termination reason: Instruction limit
% 6.89/2.42 % (634269)Termination phase: Saturation
% 6.89/2.42 % (634269)Time elapsed: 0.069 s
% 6.89/2.42 % (634269)Peak memory usage: 12 MB
% 6.89/2.42 % (634269)Instructions burned: 116 (million)
% 6.89/2.42 % TRYING [4]
% 6.89/2.42 % (634281)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4135653326:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.89/2.42 % (634282)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=4171795760:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.89/2.42 % (634271)Instruction limit reached!
% 6.89/2.42 % (634271)------------------------------
% 6.89/2.42 % (634271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634271)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634271)Termination reason: Instruction limit
% 6.89/2.42 % (634271)Termination phase: Saturation
% 6.89/2.42 % (634271)Time elapsed: 0.095 s
% 6.89/2.42 % (634271)Peak memory usage: 12 MB
% 6.89/2.42 % (634271)Instructions burned: 160 (million)
% 6.89/2.42 % (634285)ott-21_1_sil=16000:fs=off:random_seed=614651433:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.89/2.42 % (634281)Instruction limit reached!
% 6.89/2.42 % (634281)------------------------------
% 6.89/2.42 % (634281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634281)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634281)Termination reason: Instruction limit
% 6.89/2.42 % (634281)Termination phase: Saturation
% 6.89/2.42 % (634281)Time elapsed: 0.085 s
% 6.89/2.42 % (634281)Peak memory usage: 13 MB
% 6.89/2.42 % (634281)Instructions burned: 131 (million)
% 6.89/2.42 % TRYING [5]
% 6.89/2.42 % (634287)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=208495929:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.89/2.42 % (634285)Instruction limit reached!
% 6.89/2.42 % (634285)------------------------------
% 6.89/2.42 % (634285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634285)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634285)Termination reason: Instruction limit
% 6.89/2.42 % (634285)Termination phase: Saturation
% 6.89/2.42 % (634285)Time elapsed: 0.079 s
% 6.89/2.42 % (634285)Peak memory usage: 12 MB
% 6.89/2.42 % (634285)Instructions burned: 181 (million)
% 6.89/2.42 % (634279)Instruction limit reached!
% 6.89/2.42 % (634279)------------------------------
% 6.89/2.42 % (634279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634279)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634279)Termination reason: Instruction limit
% 6.89/2.42 % (634279)Termination phase: Finite model building constraint generation
% 6.89/2.42 % (634279)Time elapsed: 0.157 s
% 6.89/2.42 % (634279)Peak memory usage: 28 MB
% 6.89/2.42 % (634279)Instructions burned: 717 (million)
% 6.89/2.42 % (634289)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=466335259:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.89/2.42 % (634290)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3062411915:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.89/2.42 % TRYING [1]
% 6.89/2.42 % TRYING [2]
% 6.89/2.42 % TRYING [5]
% 6.89/2.42 % TRYING [3]
% 6.89/2.42 % TRYING [4]
% 6.89/2.42 % (634282)Instruction limit reached!
% 6.89/2.42 % (634282)------------------------------
% 6.89/2.42 % (634282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634282)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634282)Termination reason: Instruction limit
% 6.89/2.42 % (634282)Termination phase: Saturation
% 6.89/2.42 % (634282)Time elapsed: 0.352 s
% 6.89/2.42 % (634282)Peak memory usage: 17 MB
% 6.89/2.42 % (634282)Instructions burned: 685 (million)
% 6.89/2.42 % (634287)Instruction limit reached!
% 6.89/2.42 % (634287)------------------------------
% 6.89/2.42 % (634287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634287)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634287)Termination reason: Instruction limit
% 6.89/2.42 % (634287)Termination phase: Saturation
% 6.89/2.42 % (634287)Time elapsed: 0.261 s
% 6.89/2.42 % (634287)Peak memory usage: 15 MB
% 6.89/2.42 % (634287)Instructions burned: 478 (million)
% 6.89/2.42 % (634293)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3732232669:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.89/2.42 % (634294)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=711373247:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 6.89/2.42 % (634289)Instruction limit reached!
% 6.89/2.42 % (634289)------------------------------
% 6.89/2.42 % (634289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634289)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634289)Termination reason: Instruction limit
% 6.89/2.42 % (634289)Termination phase: Finite model building SAT solving
% 6.89/2.42 % (634289)Time elapsed: 0.300 s
% 6.89/2.42 % (634289)Peak memory usage: 23 MB
% 6.89/2.42 % (634289)Instructions burned: 867 (million)
% 6.89/2.42 % (634297)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2009435458:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.89/2.42 % (634290)Instruction limit reached!
% 6.89/2.42 % (634290)------------------------------
% 6.89/2.42 % (634290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634290)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634290)Termination reason: Instruction limit
% 6.89/2.42 % (634290)Termination phase: Saturation
% 6.89/2.42 % (634290)Time elapsed: 0.352 s
% 6.89/2.42 % (634290)Peak memory usage: 25 MB
% 6.89/2.42 % (634290)Instructions burned: 1180 (million)
% 6.89/2.42 % (634299)fmb+10_1_sil=64000:random_seed=1579390448:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.89/2.42 % TRYING [1]
% 6.89/2.42 % TRYING [2]
% 6.89/2.42 % TRYING [3]
% 6.89/2.42 % TRYING [4]
% 6.89/2.42 % TRYING [5]
% 6.89/2.42 % (634294)Instruction limit reached!
% 6.89/2.42 % (634294)------------------------------
% 6.89/2.42 % (634294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634294)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634294)Termination reason: Instruction limit
% 6.89/2.42 % (634294)Termination phase: Saturation
% 6.89/2.42 % (634294)Time elapsed: 0.400 s
% 6.89/2.42 % (634294)Peak memory usage: 16 MB
% 6.89/2.42 % (634294)Instructions burned: 693 (million)
% 6.89/2.42 % (634293)Instruction limit reached!
% 6.89/2.42 % (634293)------------------------------
% 6.89/2.42 % (634293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634293)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634293)Termination reason: Instruction limit
% 6.89/2.42 % (634293)Termination phase: Finite model building constraint generation
% 6.89/2.42 % (634293)Time elapsed: 0.405 s
% 6.89/2.42 % (634293)Peak memory usage: 107 MB
% 6.89/2.42 % (634293)Instructions burned: 892 (million)
% 6.89/2.42 % (634301)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1382122189:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.89/2.42 % TRYING [20]
% 6.89/2.42 % (634302)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=947274955:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.89/2.42 % TRYING [8]
% 6.89/2.42 % TRYING [6]
% 6.89/2.42 % (634297)Instruction limit reached!
% 6.89/2.42 % (634297)------------------------------
% 6.89/2.42 % (634297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634297)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634297)Termination reason: Instruction limit
% 6.89/2.42 % (634297)Termination phase: Saturation
% 6.89/2.42 % (634297)Time elapsed: 0.460 s
% 6.89/2.42 % (634297)Peak memory usage: 18 MB
% 6.89/2.42 % (634297)Instructions burned: 880 (million)
% 6.89/2.42 % (634305)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3742349132:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.89/2.42 % (634302)Instruction limit reached!
% 6.89/2.42 % (634302)------------------------------
% 6.89/2.42 % (634302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634302)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634302)Termination reason: Instruction limit
% 6.89/2.42 % (634302)Termination phase: Finite model building constraint generation
% 6.89/2.42 % (634302)Time elapsed: 0.320 s
% 6.89/2.42 % (634302)Peak memory usage: 74 MB
% 6.89/2.42 % (634302)Instructions burned: 921 (million)
% 6.89/2.42 % (634307)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2684708726:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 6.89/2.42 % TRYING [6]
% 6.89/2.42 % (634305) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-634260-634305"...
% 6.89/2.42 % (634305)...printing done.
% 6.89/2.42 % (634305)Refutation found. Thanks to Tanya!
% 6.89/2.42 % SZS status Unsatisfiable for theBenchmark
% 6.89/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 6.89/2.42 % (634305)------------------------------
% 6.89/2.42 % (634305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/2.42 % (634305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/2.42 % (634305)CaDiCaL version: 2.1.3
% 6.89/2.42 % (634305)Termination reason: Refutation
% 6.89/2.42 % (634305)Time elapsed: 0.916 s
% 6.89/2.42 % (634305)Peak memory usage: 26 MB
% 6.89/2.42 % (634305)Instructions burned: 1731 (million)
% 6.89/2.42 % (634260)Success in time 2.007 s
% 6.89/2.42 % Vampire exiting
%------------------------------------------------------------------------------