%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL034-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:34:00 PM UTC 2026
% Result : Unsatisfiable 13.81s 5.22s
% Output : Refutation 31.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 28
% Syntax : Number of formulae : 239 ( 239 unt; 13 def)
% Number of atoms : 239 ( 238 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 19 con; 0-2 aty)
% Number of variables : 212 ( 212 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',composition_associativity_5) ).
fof(f8,negated_conjecture,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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,negated_conjecture,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,negated_conjecture,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f23,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
sk1 = composition(sk1,top),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
join(composition(sk2,meet(sk1,sk3)),composition(meet(sk2,converse(sk1)),meet(sk1,sk3))) != composition(meet(sk2,converse(sk1)),meet(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
composition(meet(sk2,converse(sk1)),meet(sk1,sk3)) != join(composition(sk2,meet(sk1,sk3)),composition(meet(sk2,converse(sk1)),meet(sk1,sk3))),
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f31,plain,
composition(complement(join(complement(sk2),complement(converse(sk1)))),complement(join(complement(sk1),complement(sk3)))) != join(composition(sk2,complement(join(complement(sk1),complement(sk3)))),composition(complement(join(complement(sk2),complement(converse(sk1)))),complement(join(complement(sk1),complement(sk3))))),
inference(definition_unfolding,[],[f26,f6,f6,f6,f6,f6]) ).
fof(f32,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
sk1 = sF0,
inference(definition_folding,[],[f24,f33]) ).
fof(f35,definition,
sF1 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f36,plain,
complement(sk2) = sF1,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF2 = converse(sk1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f38,plain,
converse(sk1) = sF2,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f40,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF4 = join(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f42,plain,
join(sF1,sF3) = sF4,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f44,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF6 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f46,plain,
complement(sk1) = sF6,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF7 = complement(sk3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f48,plain,
complement(sk3) = sF7,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF8 = join(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f50,plain,
join(sF6,sF7) = sF8,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f52,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF10 = composition(sF5,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f54,plain,
composition(sF5,sF9) = sF10,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF11 = composition(sk2,sF9),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f56,plain,
composition(sk2,sF9) = sF11,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF12 = join(sF11,sF10),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f58,plain,
join(sF11,sF10) = sF12,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
sF10 != sF12,
inference(definition_folding,[],[f31,f58,f54,f52,f50,f48,f46,f44,f42,f40,f38,f36,f56,f52,f50,f48,f46,f54,f52,f50,f48,f46,f44,f42,f40,f38,f36]) ).
fof(f60,plain,
zero = complement(top),
inference(backward_demodulation,[],[f27,f15]) ).
fof(f61,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f64,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f65,plain,
sk1 = composition(sk1,top),
inference(forward_demodulation,[],[f33,f34]) ).
fof(f116,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f61,f15]) ).
fof(f117,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f116,f60]) ).
fof(f124,plain,
! [X0] : converse(join(sk1,X0)) = join(sF2,converse(X0)),
inference(superposition,[],[f11,f38]) ).
fof(f127,plain,
! [X0] : composition(join(sF5,X0),sF9) = join(sF10,composition(X0,sF9)),
inference(superposition,[],[f9,f54]) ).
fof(f145,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f61,f1]) ).
fof(f149,plain,
! [X0] : converse(composition(sk1,X0)) = composition(converse(X0),sF2),
inference(superposition,[],[f12,f38]) ).
fof(f151,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(f160,plain,
complement(top) = join(complement(top),composition(converse(sk1),complement(sk1))),
inference(superposition,[],[f64,f65]) ).
fof(f164,plain,
complement(top) = join(complement(top),composition(converse(sk1),sF6)),
inference(forward_demodulation,[],[f160,f46]) ).
fof(f166,plain,
complement(top) = join(complement(top),composition(sF2,sF6)),
inference(forward_demodulation,[],[f164,f38]) ).
fof(f167,plain,
zero = join(zero,composition(sF2,sF6)),
inference(forward_demodulation,[],[f166,f60]) ).
fof(f168,plain,
sk1 = converse(sF2),
inference(superposition,[],[f10,f38]) ).
fof(f170,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f172,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f173,plain,
! [X0,X1] : join(X0,converse(X1)) = converse(join(converse(X0),X1)),
inference(superposition,[],[f11,f10]) ).
fof(f179,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f173,f15]) ).
fof(f196,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f2,f61]) ).
fof(f197,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f209,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f233,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(X0))),join(complement(top),X1)),
inference(superposition,[],[f196,f15]) ).
fof(f249,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f233,f209]) ).
fof(f261,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f249,f60]) ).
fof(f345,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X1,top),
inference(superposition,[],[f209,f15]) ).
fof(f425,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f145,f15]) ).
fof(f441,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f425,f1]) ).
fof(f465,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f441,f1]) ).
fof(f478,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f465,f60]) ).
fof(f485,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f117,f478]) ).
fof(f496,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f478,f485]) ).
fof(f509,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,join(join(X1,X0),X1)))),
inference(superposition,[],[f496,f209]) ).
fof(f514,plain,
! [X0,X1] : join(complement(X0),X1) = join(zero,join(complement(join(X0,X0)),X1)),
inference(superposition,[],[f2,f496]) ).
fof(f517,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,join(X1,join(X0,X1))))),
inference(forward_demodulation,[],[f509,f2]) ).
fof(f519,plain,
sk1 = complement(sF6),
inference(superposition,[],[f485,f46]) ).
fof(f520,plain,
sk2 = complement(sF1),
inference(superposition,[],[f485,f36]) ).
fof(f521,plain,
sk3 = complement(sF7),
inference(superposition,[],[f485,f48]) ).
fof(f522,plain,
sF2 = complement(sF3),
inference(superposition,[],[f485,f40]) ).
fof(f526,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f61,f485]) ).
fof(f530,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f145,f485]) ).
fof(f560,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f526,f1]) ).
fof(f570,plain,
complement(sF1) = join(complement(sF4),complement(join(sF1,complement(sF3)))),
inference(superposition,[],[f526,f42]) ).
fof(f571,plain,
complement(sF6) = join(complement(sF8),complement(join(sF6,complement(sF7)))),
inference(superposition,[],[f526,f50]) ).
fof(f600,plain,
complement(sF6) = join(complement(sF8),complement(join(sF6,sk3))),
inference(forward_demodulation,[],[f571,f521]) ).
fof(f601,plain,
complement(sF1) = join(complement(sF4),complement(join(sF1,sF2))),
inference(forward_demodulation,[],[f570,f522]) ).
fof(f613,plain,
complement(sF6) = join(sF9,complement(join(sF6,sk3))),
inference(forward_demodulation,[],[f600,f52]) ).
fof(f614,plain,
complement(sF1) = join(sF5,complement(join(sF1,sF2))),
inference(forward_demodulation,[],[f601,f44]) ).
fof(f620,plain,
sk1 = join(sF9,complement(join(sF6,sk3))),
inference(forward_demodulation,[],[f613,f519]) ).
fof(f621,plain,
sk2 = join(sF5,complement(join(sF1,sF2))),
inference(forward_demodulation,[],[f614,f520]) ).
fof(f663,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(superposition,[],[f526,f530]) ).
fof(f664,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f663,f485]) ).
fof(f687,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(join(X0,X1)),complement(X1))))),
inference(forward_demodulation,[],[f664,f209]) ).
fof(f701,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f687,f1]) ).
fof(f713,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f701,f485]) ).
fof(f723,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f713,f485]) ).
fof(f736,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f170,f8]) ).
fof(f747,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f736,f10]) ).
fof(f756,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f64,f747]) ).
fof(f761,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f747]) ).
fof(f762,plain,
one = converse(one),
inference(superposition,[],[f8,f747]) ).
fof(f763,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f747,f762]) ).
fof(f764,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f761,f762]) ).
fof(f768,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f756,f763]) ).
fof(f771,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(complement(X0)))),
inference(backward_demodulation,[],[f261,f768]) ).
fof(f772,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,X0)),
inference(forward_demodulation,[],[f771,f485]) ).
fof(f775,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X0))),
inference(backward_demodulation,[],[f514,f772]) ).
fof(f776,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(backward_demodulation,[],[f496,f775]) ).
fof(f778,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f776,f1]) ).
fof(f782,plain,
! [X0,X1] : complement(join(X1,X0)) = complement(join(X0,join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f517,f778]) ).
fof(f797,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f778,f485]) ).
fof(f826,plain,
zero = composition(sF2,sF6),
inference(backward_demodulation,[],[f167,f797]) ).
fof(f842,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1,f797]) ).
fof(f867,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f768,f485]) ).
fof(f910,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f867]) ).
fof(f911,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f209,f867]) ).
fof(f912,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f209,f867]) ).
fof(f918,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,join(X0,X1))),
inference(superposition,[],[f2,f867]) ).
fof(f925,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(backward_demodulation,[],[f782,f918]) ).
fof(f994,plain,
! [X0] : composition(join(sF2,X0),sF6) = join(zero,composition(X0,sF6)),
inference(superposition,[],[f9,f826]) ).
fof(f995,plain,
! [X0] : composition(X0,sF6) = composition(join(sF2,X0),sF6),
inference(forward_demodulation,[],[f994,f797]) ).
fof(f1104,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f910,f15]) ).
fof(f1143,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f345,f1104]) ).
fof(f1161,plain,
! [X1] : top = join(top,X1),
inference(backward_demodulation,[],[f197,f1143]) ).
fof(f1194,plain,
! [X0] : composition(join(converse(top),X0),converse(sk1)) = join(converse(sk1),composition(X0,converse(sk1))),
inference(superposition,[],[f151,f65]) ).
fof(f1196,plain,
! [X0] : composition(join(converse(sF6),X0),converse(sF2)) = join(converse(zero),composition(X0,converse(sF2))),
inference(superposition,[],[f151,f826]) ).
fof(f1206,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f151,f12]) ).
fof(f1220,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f1206,f11]) ).
fof(f1228,plain,
! [X0] : composition(join(converse(sF6),X0),sk1) = join(converse(zero),composition(X0,sk1)),
inference(forward_demodulation,[],[f1196,f168]) ).
fof(f1229,plain,
! [X0] : composition(join(converse(top),X0),converse(sk1)) = composition(join(one,X0),converse(sk1)),
inference(forward_demodulation,[],[f1194,f764]) ).
fof(f1237,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f1220,f11]) ).
fof(f1241,plain,
! [X0] : composition(join(one,X0),sF2) = composition(join(converse(top),X0),sF2),
inference(forward_demodulation,[],[f1229,f38]) ).
fof(f1245,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f1237,f12]) ).
fof(f1248,plain,
! [X0] : join(sF2,composition(X0,sF2)) = composition(join(converse(top),X0),sF2),
inference(forward_demodulation,[],[f1241,f764]) ).
fof(f1316,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f530,f560]) ).
fof(f1323,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f910,f560]) ).
fof(f1324,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1323,f1]) ).
fof(f1330,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X1,X0)))),
inference(forward_demodulation,[],[f1316,f1]) ).
fof(f1350,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f723,f1324]) ).
fof(f1357,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1330,f925]) ).
fof(f1375,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1357,f2]) ).
fof(f1390,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,X1)))),
inference(forward_demodulation,[],[f1375,f1350]) ).
fof(f1401,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1390,f912]) ).
fof(f1409,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1401,f485]) ).
fof(f1414,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1409,f485]) ).
fof(f1430,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1414,f1]) ).
fof(f1445,plain,
join(sF1,complement(sF3)) = join(sF1,complement(sF4)),
inference(superposition,[],[f1414,f42]) ).
fof(f1446,plain,
join(sF6,complement(sF7)) = join(sF6,complement(sF8)),
inference(superposition,[],[f1414,f50]) ).
fof(f1480,plain,
join(sF6,complement(sF7)) = join(sF6,sF9),
inference(forward_demodulation,[],[f1446,f52]) ).
fof(f1481,plain,
join(sF1,complement(sF3)) = join(sF1,sF5),
inference(forward_demodulation,[],[f1445,f44]) ).
fof(f1501,plain,
join(sF6,complement(sF7)) = join(sF9,sF6),
inference(forward_demodulation,[],[f1480,f1]) ).
fof(f1502,plain,
join(sF1,sF2) = join(sF1,sF5),
inference(forward_demodulation,[],[f1481,f522]) ).
fof(f1521,plain,
join(sF6,sk3) = join(sF9,sF6),
inference(forward_demodulation,[],[f1501,f521]) ).
fof(f1534,plain,
sk1 = join(sF9,complement(join(sF9,sF6))),
inference(backward_demodulation,[],[f620,f1521]) ).
fof(f1540,plain,
sk1 = join(sF9,complement(sF6)),
inference(forward_demodulation,[],[f1534,f1414]) ).
fof(f1545,plain,
sk1 = join(sF9,sk1),
inference(forward_demodulation,[],[f1540,f519]) ).
fof(f1644,plain,
join(sF3,complement(sF1)) = join(sF3,complement(sF4)),
inference(superposition,[],[f1430,f42]) ).
fof(f1645,plain,
join(sF5,complement(join(sF1,sF2))) = join(sF5,complement(sF1)),
inference(superposition,[],[f1430,f1502]) ).
fof(f1682,plain,
join(sF5,complement(join(sF1,sF2))) = join(sF5,sk2),
inference(forward_demodulation,[],[f1645,f520]) ).
fof(f1683,plain,
join(sF3,complement(sF1)) = join(sF3,sF5),
inference(forward_demodulation,[],[f1644,f44]) ).
fof(f1708,plain,
sk2 = join(sF5,sk2),
inference(forward_demodulation,[],[f1682,f621]) ).
fof(f1709,plain,
join(sF3,sk2) = join(sF3,sF5),
inference(forward_demodulation,[],[f1683,f520]) ).
fof(f2370,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f1245]) ).
fof(f2386,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f2370,f10]) ).
fof(f2441,plain,
! [X0] : composition(sk1,join(top,X0)) = join(sk1,composition(sk1,X0)),
inference(superposition,[],[f2386,f65]) ).
fof(f2491,plain,
! [X0] : composition(sk1,top) = join(sk1,composition(sk1,X0)),
inference(forward_demodulation,[],[f2441,f1161]) ).
fof(f2501,plain,
! [X0] : sk1 = join(sk1,composition(sk1,X0)),
inference(forward_demodulation,[],[f2491,f65]) ).
fof(f3049,plain,
! [X0,X1] : join(complement(join(X1,X0)),X0) = join(X0,join(X0,complement(X1))),
inference(superposition,[],[f911,f1430]) ).
fof(f3133,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X1,X0)),X0),
inference(forward_demodulation,[],[f3049,f911]) ).
fof(f3170,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f3133,f1]) ).
fof(f3653,plain,
composition(sk2,sF9) = join(sF10,composition(sk2,sF9)),
inference(superposition,[],[f127,f1708]) ).
fof(f3670,plain,
sF11 = join(sF10,sF11),
inference(forward_demodulation,[],[f3653,f56]) ).
fof(f3682,plain,
sF11 = join(sF11,sF10),
inference(forward_demodulation,[],[f3670,f1]) ).
fof(f3685,plain,
sF11 = sF12,
inference(backward_demodulation,[],[f58,f3682]) ).
fof(f3687,plain,
sF10 != sF11,
inference(backward_demodulation,[],[f59,f3685]) ).
fof(f3728,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f172,f797]) ).
fof(f3754,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f3728,f10]) ).
fof(f3764,plain,
! [X0] : composition(X0,sk1) = composition(join(converse(sF6),X0),sk1),
inference(backward_demodulation,[],[f1228,f3754]) ).
fof(f3812,plain,
zero = converse(zero),
inference(superposition,[],[f842,f3754]) ).
fof(f4472,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f172,f1161]) ).
fof(f4473,plain,
! [X0] : join(sF2,composition(X0,sF2)) = composition(converse(top),sF2),
inference(backward_demodulation,[],[f1248,f4472]) ).
fof(f6930,plain,
composition(converse(sF6),sk1) = composition(zero,sk1),
inference(superposition,[],[f3764,f842]) ).
fof(f8171,plain,
converse(top) = join(sF2,converse(complement(sk1))),
inference(superposition,[],[f124,f15]) ).
fof(f8178,plain,
! [X0] : converse(sk1) = join(sF2,converse(composition(sk1,X0))),
inference(superposition,[],[f124,f2501]) ).
fof(f8213,plain,
! [X0] : converse(sk1) = join(sF2,composition(converse(X0),sF2)),
inference(forward_demodulation,[],[f8178,f149]) ).
fof(f8220,plain,
converse(top) = join(sF2,converse(sF6)),
inference(forward_demodulation,[],[f8171,f46]) ).
fof(f8229,plain,
converse(sk1) = composition(converse(top),sF2),
inference(forward_demodulation,[],[f8213,f4473]) ).
fof(f8235,plain,
sF2 = composition(converse(top),sF2),
inference(forward_demodulation,[],[f8229,f38]) ).
fof(f8238,plain,
! [X0] : sF2 = join(sF2,composition(X0,sF2)),
inference(backward_demodulation,[],[f4473,f8235]) ).
fof(f8256,plain,
join(complement(sF2),converse(sF6)) = join(converse(sF6),complement(converse(top))),
inference(superposition,[],[f3170,f8220]) ).
fof(f8259,plain,
join(converse(sF6),complement(converse(top))) = join(sF3,converse(sF6)),
inference(forward_demodulation,[],[f8256,f40]) ).
fof(f11472,plain,
! [X0] : composition(sF2,sF6) = composition(composition(X0,sF2),sF6),
inference(superposition,[],[f995,f8238]) ).
fof(f11499,plain,
! [X0] : composition(sF2,sF6) = composition(X0,composition(sF2,sF6)),
inference(forward_demodulation,[],[f11472,f7]) ).
fof(f11509,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f11499,f826]) ).
fof(f11823,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(superposition,[],[f170,f11509]) ).
fof(f11836,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f11823,f3812]) ).
fof(f11884,plain,
zero = composition(converse(sF6),sk1),
inference(backward_demodulation,[],[f6930,f11836]) ).
fof(f12282,plain,
converse(top) = join(sk1,converse(complement(sF2))),
inference(superposition,[],[f179,f38]) ).
fof(f12320,plain,
top = converse(top),
inference(superposition,[],[f1161,f179]) ).
fof(f12389,plain,
join(sF3,converse(sF6)) = join(converse(sF6),complement(top)),
inference(backward_demodulation,[],[f8259,f12320]) ).
fof(f12467,plain,
converse(top) = join(sk1,converse(sF3)),
inference(forward_demodulation,[],[f12282,f40]) ).
fof(f12497,plain,
join(sF3,converse(sF6)) = join(complement(top),converse(sF6)),
inference(forward_demodulation,[],[f12389,f1]) ).
fof(f12536,plain,
top = join(sk1,converse(sF3)),
inference(forward_demodulation,[],[f12467,f12320]) ).
fof(f12552,plain,
join(sF3,converse(sF6)) = join(zero,converse(sF6)),
inference(forward_demodulation,[],[f12497,f60]) ).
fof(f12589,plain,
converse(sF6) = join(sF3,converse(sF6)),
inference(forward_demodulation,[],[f12552,f797]) ).
fof(f12902,plain,
converse(converse(sF6)) = join(converse(sF3),sF6),
inference(superposition,[],[f172,f12589]) ).
fof(f12927,plain,
converse(converse(sF6)) = join(sF6,converse(sF3)),
inference(forward_demodulation,[],[f12902,f1]) ).
fof(f12932,plain,
sF6 = join(sF6,converse(sF3)),
inference(forward_demodulation,[],[f12927,f10]) ).
fof(f13136,plain,
join(complement(sk1),converse(sF3)) = join(converse(sF3),complement(top)),
inference(superposition,[],[f3170,f12536]) ).
fof(f13141,plain,
join(complement(sk1),converse(sF3)) = join(complement(top),converse(sF3)),
inference(forward_demodulation,[],[f13136,f1]) ).
fof(f13158,plain,
join(complement(sk1),converse(sF3)) = join(zero,converse(sF3)),
inference(forward_demodulation,[],[f13141,f60]) ).
fof(f13172,plain,
converse(sF3) = join(complement(sk1),converse(sF3)),
inference(forward_demodulation,[],[f13158,f797]) ).
fof(f13181,plain,
converse(sF3) = join(sF6,converse(sF3)),
inference(forward_demodulation,[],[f13172,f46]) ).
fof(f13191,plain,
sF6 = converse(sF3),
inference(forward_demodulation,[],[f13181,f12932]) ).
fof(f13234,plain,
sF3 = converse(sF6),
inference(superposition,[],[f10,f13191]) ).
fof(f13319,plain,
zero = composition(sF3,sk1),
inference(backward_demodulation,[],[f11884,f13234]) ).
fof(f14258,plain,
! [X0] : composition(sF3,join(X0,sk1)) = join(composition(sF3,X0),zero),
inference(superposition,[],[f2386,f13319]) ).
fof(f14259,plain,
! [X0] : join(zero,composition(sF3,X0)) = composition(sF3,join(X0,sk1)),
inference(forward_demodulation,[],[f14258,f1]) ).
fof(f14272,plain,
! [X0] : composition(sF3,X0) = composition(sF3,join(X0,sk1)),
inference(forward_demodulation,[],[f14259,f797]) ).
fof(f14527,plain,
composition(sF3,sk1) = composition(sF3,sF9),
inference(superposition,[],[f14272,f1545]) ).
fof(f14571,plain,
zero = composition(sF3,sF9),
inference(forward_demodulation,[],[f14527,f13319]) ).
fof(f14620,plain,
! [X0] : composition(join(sF3,X0),sF9) = join(zero,composition(X0,sF9)),
inference(superposition,[],[f9,f14571]) ).
fof(f14641,plain,
! [X0] : composition(X0,sF9) = composition(join(sF3,X0),sF9),
inference(forward_demodulation,[],[f14620,f797]) ).
fof(f14691,plain,
composition(sk2,sF9) = composition(join(sF3,sF5),sF9),
inference(superposition,[],[f14641,f1709]) ).
fof(f14724,plain,
composition(sF5,sF9) = composition(sk2,sF9),
inference(forward_demodulation,[],[f14691,f14641]) ).
fof(f14743,plain,
composition(sF5,sF9) = sF11,
inference(forward_demodulation,[],[f14724,f56]) ).
fof(f14775,plain,
sF10 = sF11,
inference(backward_demodulation,[],[f54,f14743]) ).
fof(f14779,plain,
$false,
inference(forward_subsumption_resolution,[],[f14775,f3687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL034-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 % Computer : n011.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sun Sep 27 22:55:15 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.81/5.22 % (2857126)Detected a unit-equality problem, will run specialized UEQ schedule.
% 13.81/5.22 % (2857137)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2278706198:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 13.81/5.22 % (2857131)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1856467931:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 13.81/5.22 % (2857136)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4149467850:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 13.81/5.22 % (2857134)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1465074861:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 13.81/5.22 % (2857135)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1631131991:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 13.81/5.22 % (2857132)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2374165096:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 13.81/5.22 % (2857133)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=509950809:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 13.81/5.22 % (2857134)Instruction limit reached!
% 13.81/5.22 % (2857134)------------------------------
% 13.81/5.22 % (2857134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.81/5.22 % (2857134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/5.22 % (2857134)CaDiCaL version: 2.1.3
% 13.81/5.22 % (2857134)Termination reason: Instruction limit
% 13.81/5.22 % (2857134)Termination phase: Saturation
% 13.81/5.22 % (2857134)Time elapsed: 0.140 s
% 13.81/5.22 % (2857134)Peak memory usage: 89 MB
% 13.81/5.22 % (2857134)Instructions burned: 136 (million)
% 13.81/5.22 % (2857135)Instruction limit reached!
% 13.81/5.22 % (2857135)------------------------------
% 13.81/5.22 % (2857135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.81/5.22 % (2857135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/5.22 % (2857135)CaDiCaL version: 2.1.3
% 13.81/5.22 % (2857135)Termination reason: Instruction limit
% 13.81/5.22 % (2857135)Termination phase: Saturation
% 13.81/5.22 % (2857135)Time elapsed: 0.181 s
% 13.81/5.22 % (2857135)Peak memory usage: 90 MB
% 13.81/5.22 % (2857135)Instructions burned: 181 (million)
% 13.81/5.22 % (2857136)Instruction limit reached!
% 13.81/5.22 % (2857136)------------------------------
% 13.81/5.22 % (2857136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.81/5.22 % (2857136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/5.22 % (2857136)CaDiCaL version: 2.1.3
% 13.81/5.22 % (2857136)Termination reason: Instruction limit
% 13.81/5.22 % (2857136)Termination phase: Saturation
% 13.81/5.22 % (2857136)Time elapsed: 0.245 s
% 13.81/5.22 % (2857136)Peak memory usage: 90 MB
% 13.81/5.22 % (2857136)Instructions burned: 257 (million)
% 13.81/5.22 % (2857145)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1838544127:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 13.81/5.22 % (2857146)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3907822618:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 13.81/5.22 % (2857137)Instruction limit reached!
% 13.81/5.22 % (2857137)------------------------------
% 13.81/5.22 % (2857137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.81/5.22 % (2857137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/5.22 % (2857137)CaDiCaL version: 2.1.3
% 13.81/5.22 % (2857137)Termination reason: Instruction limit
% 13.81/5.22 % (2857137)Termination phase: Saturation
% 13.81/5.22 % (2857137)Time elapsed: 0.580 s
% 13.81/5.22 % (2857137)Peak memory usage: 100 MB
% 13.81/5.22 % (2857137)Instructions burned: 1189 (million)
% 13.81/5.22 % (2857147)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2813632345:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 13.81/5.22 % (2857152)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=464639320:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 13.81/5.22 % (2857147)Instruction limit reached!
% 13.81/5.22 % (2857147)------------------------------
% 13.81/5.22 % (2857147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.81/5.22 % (2857147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/5.22 % (2857147)CaDiCaL version: 2.1.3
% 13.81/5.22 % (2857147)Termination reason: Instruction limit
% 13.81/5.22 % (2857147)Termination phase: Saturation
% 13.81/5.22 % (2857147)Time elapsed: 0.210 s
% 13.81/5.22 % (2857147)Peak memory usage: 92 MB
% 13.81/5.22 % (2857147)Instructions burned: 216 (million)
% 13.81/5.22 % (2857152)Instruction limit reached!
% 13.81/5.22 % (2857152)------------------------------
% 13.81/5.22 % (2857152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.81/5.22 % (2857152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/5.22 % (2857152)CaDiCaL version: 2.1.3
% 13.81/5.22 % (2857152)Termination reason: Instruction limit
% 13.81/5.22 % (2857152)Termination phase: Saturation
% 13.81/5.22 % (2857152)Time elapsed: 0.176 s
% 13.81/5.22 % (2857152)Peak memory usage: 92 MB
% 13.81/5.22 % (2857152)Instructions burned: 318 (million)
% 13.81/5.22 % (2857155)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1969794650:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 13.81/5.22 % (2857156)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3860048638:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2988 on theBenchmark for (2988ds/2836Mi)
% 13.81/5.22 % (2857145)Instruction limit reached!
% 13.81/5.22 % (2857145)------------------------------
% 13.81/5.22 % (2857145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.81/5.22 % (2857145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/5.22 % (2857145)CaDiCaL version: 2.1.3
% 13.81/5.22 % (2857145)Termination reason: Instruction limit
% 13.81/5.22 % (2857145)Termination phase: Saturation
% 13.81/5.22 % (2857145)Time elapsed: 2.156 s
% 13.81/5.22 % (2857145)Peak memory usage: 141 MB
% 13.81/5.22 % (2857145)Instructions burned: 2051 (million)
% 13.81/5.22 % (2857156)Instruction limit reached!
% 13.81/5.22 % (2857156)------------------------------
% 13.81/5.22 % (2857156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.81/5.22 % (2857156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/5.22 % (2857156)CaDiCaL version: 2.1.3
% 13.81/5.22 % (2857156)Termination reason: Instruction limit
% 13.81/5.22 % (2857156)Termination phase: Saturation
% 13.81/5.22 % (2857156)Time elapsed: 1.621 s
% 13.81/5.22 % (2857156)Peak memory usage: 130 MB
% 13.81/5.22 % (2857156)Instructions burned: 2836 (million)
% 13.81/5.22 % (2857159)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1844247545:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2972 on theBenchmark for (2972ds/14534Mi)
% 13.81/5.22 % (2857160)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2088786777:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2969 on theBenchmark for (2969ds/11832Mi)
% 13.81/5.22 % (2857133)First to succeed.
% 13.81/5.22 % (2857133)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2857126"
% 13.81/5.22 % (2857155)Also succeeded, but the first one will report.
% 13.81/5.22 % (2857133)Refutation found. Thanks to Tanya!
% 13.81/5.22 % SZS status Unsatisfiable for theBenchmark
% 13.81/5.22 % SZS output start Proof for theBenchmark
% See solution above
% 31.09/5.36 % (2857133)------------------------------
% 31.09/5.36 % (2857133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.09/5.36 % (2857133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.09/5.36 % (2857133)CaDiCaL version: 2.1.3
% 31.09/5.36 % (2857133)Termination reason: Refutation
% 31.09/5.36 % (2857133)Time elapsed: 3.585 s
% 31.09/5.36 % (2857133)Peak memory usage: 152 MB
% 31.09/5.36 % (2857133)Instructions burned: 3391 (million)
% 31.09/5.36 % (2857133)------------------------------
% 31.09/5.36 % (2857133)------------------------------
% 31.09/5.36 % (2857126)Success in time 4.321 s
% 31.09/5.36 % Vampire exiting
%------------------------------------------------------------------------------