%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL020-2 : 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 : 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 12:33:48 PM UTC 2026
% Result : Unsatisfiable 31.74s 6.15s
% Output : Refutation 37.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 24
% Syntax : Number of formulae : 212 ( 212 unt; 9 def)
% Number of atoms : 212 ( 211 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 14 con; 0-2 aty)
% Number of variables : 252 ( 252 !; 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(f8,axiom,
! [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,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',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,
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,
composition(meet(sk1,one),sk2) != meet(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
composition(complement(join(complement(sk1),complement(one))),sk2) != complement(join(complement(sk1),complement(sk2))),
inference(definition_unfolding,[],[f25,f6,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(f30,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f31,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f32,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f31]) ).
fof(f33,plain,
sk1 = sF0,
inference(definition_folding,[],[f24,f32]) ).
fof(f34,definition,
sF1 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
complement(sk1) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF2 = complement(one),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f37,plain,
complement(one) = sF2,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF3 = join(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f39,plain,
join(sF1,sF2) = sF3,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f41,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF5 = composition(sF4,sk2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f43,plain,
composition(sF4,sk2) = sF5,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF6 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f45,plain,
complement(sk2) = sF6,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF7 = join(sF1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f47,plain,
join(sF1,sF6) = sF7,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f49,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
sF5 != sF8,
inference(definition_folding,[],[f26,f49,f47,f45,f35,f43,f41,f39,f37,f35]) ).
fof(f51,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f52,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f53,plain,
zero = complement(top),
inference(forward_demodulation,[],[f30,f15]) ).
fof(f55,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(f56,plain,
sk1 = composition(sk1,top),
inference(forward_demodulation,[],[f32,f33]) ).
fof(f78,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f90,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f51,f15]) ).
fof(f93,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f90,f1]) ).
fof(f94,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f93,f53]) ).
fof(f99,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f52,f10]) ).
fof(f123,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f124,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
inference(superposition,[],[f52,f12]) ).
fof(f125,plain,
! [X0,X1] : complement(converse(X0)) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(forward_demodulation,[],[f124,f10]) ).
fof(f135,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f139,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f2,f51]) ).
fof(f223,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(f238,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f223,f12]) ).
fof(f244,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f238,f11]) ).
fof(f247,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f244,f11]) ).
fof(f249,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f247,f12]) ).
fof(f260,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f249]) ).
fof(f271,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f260,f10]) ).
fof(f289,plain,
! [X0] : composition(sk1,join(X0,top)) = join(composition(sk1,X0),sk1),
inference(superposition,[],[f271,f56]) ).
fof(f295,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f2,f271]) ).
fof(f298,plain,
! [X0] : join(sk1,composition(sk1,X0)) = composition(sk1,join(X0,top)),
inference(forward_demodulation,[],[f289,f1]) ).
fof(f306,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f271,f8]) ).
fof(f427,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f123,f8]) ).
fof(f443,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f427,f10]) ).
fof(f467,plain,
one = converse(one),
inference(superposition,[],[f8,f443]) ).
fof(f486,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f443,f467]) ).
fof(f553,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f99,f486]) ).
fof(f556,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f553,f443]) ).
fof(f581,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f139,f556]) ).
fof(f585,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f581,f51]) ).
fof(f616,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f585,f15]) ).
fof(f638,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f616,f53]) ).
fof(f656,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1,f638]) ).
fof(f672,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f94,f656]) ).
fof(f680,plain,
top = complement(zero),
inference(superposition,[],[f15,f656]) ).
fof(f685,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f672,f556]) ).
fof(f688,plain,
one = complement(sF2),
inference(superposition,[],[f685,f37]) ).
fof(f690,plain,
sk1 = complement(sF1),
inference(superposition,[],[f685,f35]) ).
fof(f691,plain,
sk2 = complement(sF6),
inference(superposition,[],[f685,f45]) ).
fof(f695,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f51,f685]) ).
fof(f704,plain,
! [X0,X1] : join(X1,complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f585,f685]) ).
fof(f709,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f704,f685]) ).
fof(f722,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f704,f1]) ).
fof(f743,plain,
! [X0] : zero = complement(join(complement(zero),X0)),
inference(superposition,[],[f656,f704]) ).
fof(f744,plain,
! [X0] : zero = complement(join(top,X0)),
inference(forward_demodulation,[],[f743,f680]) ).
fof(f802,plain,
! [X0,X1] : complement(X1) = join(complement(join(X1,X0)),complement(join(complement(X0),X1))),
inference(superposition,[],[f695,f1]) ).
fof(f898,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f802,f1]) ).
fof(f930,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f802,f695]) ).
fof(f931,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(join(complement(join(complement(X1),X0)),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f802,f802]) ).
fof(f980,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f931,f1]) ).
fof(f981,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f930,f1]) ).
fof(f1017,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f980,f1]) ).
fof(f1018,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f981,f1]) ).
fof(f1047,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1017,f2]) ).
fof(f1048,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1018,f2]) ).
fof(f1067,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1047,f704]) ).
fof(f1068,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1048,f722]) ).
fof(f1080,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = complement(complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1067,f685]) ).
fof(f1081,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1068,f685]) ).
fof(f1087,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1080,f685]) ).
fof(f1088,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1081,f685]) ).
fof(f1092,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1087,f1]) ).
fof(f1098,plain,
! [X0,X1] : join(complement(complement(join(X1,X0))),X1) = join(X1,complement(join(complement(X0),X1))),
inference(superposition,[],[f1087,f1087]) ).
fof(f1100,plain,
! [X0] : join(X0,complement(X0)) = join(complement(zero),X0),
inference(superposition,[],[f1087,f638]) ).
fof(f1115,plain,
join(complement(sF2),sF1) = join(sF1,complement(sF3)),
inference(superposition,[],[f1087,f39]) ).
fof(f1153,plain,
join(complement(sF2),sF1) = join(sF1,sF4),
inference(forward_demodulation,[],[f1115,f41]) ).
fof(f1162,plain,
! [X0] : join(X0,complement(X0)) = join(top,X0),
inference(forward_demodulation,[],[f1100,f680]) ).
fof(f1164,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(X1,complement(complement(join(X1,X0)))),
inference(forward_demodulation,[],[f1098,f1]) ).
fof(f1179,plain,
join(sF1,complement(sF2)) = join(sF1,sF4),
inference(forward_demodulation,[],[f1153,f1]) ).
fof(f1187,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f1162,f15]) ).
fof(f1188,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),X1))) = join(X1,join(X1,X0)),
inference(forward_demodulation,[],[f1164,f685]) ).
fof(f1198,plain,
join(sF1,one) = join(sF1,sF4),
inference(forward_demodulation,[],[f1179,f688]) ).
fof(f1203,plain,
! [X0,X1] : join(complement(complement(X0)),X1) = join(X1,join(X1,X0)),
inference(forward_demodulation,[],[f1188,f1092]) ).
fof(f1209,plain,
join(one,sF1) = join(sF1,sF4),
inference(forward_demodulation,[],[f1198,f1]) ).
fof(f1213,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X1,X0)),
inference(forward_demodulation,[],[f1203,f685]) ).
fof(f1354,plain,
! [X0] : join(complement(X0),X0) = join(X0,top),
inference(superposition,[],[f1213,f15]) ).
fof(f1391,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(join(complement(X1),X0),X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f802,f1213]) ).
fof(f1401,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(X0,complement(X1))),complement(join(join(complement(X1),X0),X1))),
inference(forward_demodulation,[],[f1391,f1]) ).
fof(f1431,plain,
! [X0] : join(X0,complement(X0)) = join(X0,top),
inference(forward_demodulation,[],[f1354,f1]) ).
fof(f1435,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(X0,complement(X1))),complement(join(X1,join(complement(X1),X0)))),
inference(forward_demodulation,[],[f1401,f1]) ).
fof(f1459,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f1431,f15]) ).
fof(f1460,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(X0,complement(X1))),complement(join(top,X0))),
inference(forward_demodulation,[],[f1435,f135]) ).
fof(f1467,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(complement(join(top,X0)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1460,f1]) ).
fof(f1468,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = join(zero,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1467,f744]) ).
fof(f1469,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[],[f1468,f656]) ).
fof(f2299,plain,
complement(sF1) = join(complement(sF1),complement(sF3)),
inference(superposition,[],[f709,f39]) ).
fof(f2338,plain,
complement(sF1) = join(complement(sF1),sF4),
inference(forward_demodulation,[],[f2299,f41]) ).
fof(f2358,plain,
complement(sF1) = join(sF4,complement(sF1)),
inference(forward_demodulation,[],[f2338,f1]) ).
fof(f2368,plain,
sk1 = join(sF4,sk1),
inference(forward_demodulation,[],[f2358,f690]) ).
fof(f2374,plain,
sk1 = join(sk1,sF4),
inference(forward_demodulation,[],[f2368,f1]) ).
fof(f4878,plain,
! [X0] : composition(sk1,top) = join(sk1,composition(sk1,X0)),
inference(superposition,[],[f298,f1459]) ).
fof(f4888,plain,
! [X0] : complement(join(X0,top)) = join(complement(join(X0,top)),composition(converse(sk1),complement(join(sk1,composition(sk1,X0))))),
inference(superposition,[],[f52,f298]) ).
fof(f4901,plain,
! [X0] : complement(top) = join(complement(top),composition(converse(sk1),complement(join(sk1,composition(sk1,X0))))),
inference(forward_demodulation,[],[f4888,f1459]) ).
fof(f4909,plain,
! [X0] : sk1 = join(sk1,composition(sk1,X0)),
inference(forward_demodulation,[],[f4878,f56]) ).
fof(f4916,plain,
! [X0] : zero = join(zero,composition(converse(sk1),complement(join(sk1,composition(sk1,X0))))),
inference(forward_demodulation,[],[f4901,f53]) ).
fof(f4927,plain,
! [X0] : zero = composition(converse(sk1),complement(join(sk1,composition(sk1,X0)))),
inference(forward_demodulation,[],[f4916,f656]) ).
fof(f4937,plain,
zero = composition(converse(sk1),complement(sk1)),
inference(forward_demodulation,[],[f4927,f4909]) ).
fof(f4944,plain,
zero = composition(converse(sk1),sF1),
inference(forward_demodulation,[],[f4937,f35]) ).
fof(f5103,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,top)),
inference(superposition,[],[f306,f1459]) ).
fof(f5522,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f78,f15]) ).
fof(f8716,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X3,X2)),composition(X1,X2)) = join(composition(X0,X3),composition(join(X0,X1),X2)),
inference(superposition,[],[f295,f9]) ).
fof(f9566,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(superposition,[],[f1088,f5522]) ).
fof(f9590,plain,
top = converse(top),
inference(superposition,[],[f1187,f5522]) ).
fof(f9617,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f9566,f9590]) ).
fof(f9657,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f9617,f53]) ).
fof(f9684,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f9657,f638]) ).
fof(f9716,plain,
! [X0] : composition(top,converse(X0)) = converse(composition(X0,top)),
inference(superposition,[],[f12,f9590]) ).
fof(f9778,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f898,f9684]) ).
fof(f9786,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f78,f9684]) ).
fof(f9793,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f9786,f10]) ).
fof(f9801,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f9778,f1]) ).
fof(f9836,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f9801,f685]) ).
fof(f9856,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(converse(complement(converse(complement(X0)))))),X0),
inference(forward_demodulation,[],[f9836,f1087]) ).
fof(f9866,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f9856,f1]) ).
fof(f9871,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f9866,f685]) ).
fof(f9874,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f9871,f9793]) ).
fof(f9882,plain,
zero = converse(complement(converse(top))),
inference(superposition,[],[f9874,f680]) ).
fof(f9911,plain,
zero = converse(complement(top)),
inference(forward_demodulation,[],[f9882,f9590]) ).
fof(f9915,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f9911,f53]) ).
fof(f12191,plain,
! [X0,X1] : complement(join(zero,complement(composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(join(zero,complement(composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1))))),
inference(superposition,[],[f55,f53]) ).
fof(f12319,plain,
! [X0,X1] : complement(complement(composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(complement(composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1)))),
inference(forward_demodulation,[],[f12191,f656]) ).
fof(f12378,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1) = join(complement(join(complement(composition(X0,X1)),zero)),composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1)),
inference(forward_demodulation,[],[f12319,f685]) ).
fof(f12417,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1) = join(complement(join(complement(composition(X0,X1)),zero)),composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1)),
inference(forward_demodulation,[],[f12378,f9716]) ).
fof(f12447,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1) = join(complement(join(zero,complement(composition(X0,X1)))),composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1)),
inference(forward_demodulation,[],[f12417,f1469]) ).
fof(f12469,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1) = join(complement(complement(composition(X0,X1))),composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1)),
inference(forward_demodulation,[],[f12447,f656]) ).
fof(f12488,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1) = join(composition(X0,X1),composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1)),
inference(forward_demodulation,[],[f12469,f685]) ).
fof(f12500,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1) = composition(join(X0,complement(join(complement(X0),complement(converse(composition(X1,top)))))),X1),
inference(forward_demodulation,[],[f12488,f9]) ).
fof(f12508,plain,
! [X0,X1] : composition(X0,X1) = composition(complement(join(complement(X0),complement(converse(composition(X1,top))))),X1),
inference(forward_demodulation,[],[f12500,f585]) ).
fof(f12931,plain,
complement(converse(converse(sk1))) = join(complement(converse(converse(sk1))),composition(sF1,complement(converse(zero)))),
inference(superposition,[],[f125,f4944]) ).
fof(f13000,plain,
complement(converse(converse(sk1))) = join(complement(converse(converse(sk1))),composition(sF1,complement(zero))),
inference(forward_demodulation,[],[f12931,f9915]) ).
fof(f13025,plain,
complement(converse(converse(sk1))) = join(complement(converse(converse(sk1))),composition(sF1,top)),
inference(forward_demodulation,[],[f13000,f680]) ).
fof(f13039,plain,
complement(converse(converse(sk1))) = join(composition(sF1,top),complement(converse(converse(sk1)))),
inference(forward_demodulation,[],[f13025,f1]) ).
fof(f13044,plain,
complement(sk1) = join(composition(sF1,top),complement(sk1)),
inference(forward_demodulation,[],[f13039,f10]) ).
fof(f13048,plain,
complement(sk1) = join(complement(sk1),composition(sF1,top)),
inference(forward_demodulation,[],[f13044,f1]) ).
fof(f13051,plain,
sF1 = join(sF1,composition(sF1,top)),
inference(forward_demodulation,[],[f13048,f35]) ).
fof(f13054,plain,
sF1 = composition(sF1,top),
inference(forward_demodulation,[],[f13051,f5103]) ).
fof(f13332,plain,
! [X0,X1] : composition(complement(X0),X1) = composition(complement(join(X0,complement(converse(composition(X1,top))))),X1),
inference(superposition,[],[f12508,f685]) ).
fof(f15075,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(join(X0,X2),complement(X1))) = join(composition(X0,top),composition(X2,complement(X1))),
inference(superposition,[],[f8716,f15]) ).
fof(f15779,plain,
! [X2,X0,X1] : join(composition(X1,top),composition(X0,complement(X2))) = join(composition(X1,X2),composition(join(X0,X1),complement(X2))),
inference(superposition,[],[f15075,f1]) ).
fof(f15855,plain,
! [X0] : join(composition(sk1,top),composition(sF4,complement(X0))) = join(composition(sk1,X0),composition(sk1,complement(X0))),
inference(superposition,[],[f15075,f2374]) ).
fof(f15865,plain,
! [X0] : join(composition(sF1,top),composition(sF4,complement(X0))) = join(composition(sF1,X0),composition(join(one,sF1),complement(X0))),
inference(superposition,[],[f15075,f1209]) ).
fof(f15950,plain,
! [X0] : join(composition(sF1,X0),composition(join(one,sF1),complement(X0))) = join(sF1,composition(sF4,complement(X0))),
inference(forward_demodulation,[],[f15865,f13054]) ).
fof(f15960,plain,
! [X0] : join(composition(sk1,top),composition(sF4,complement(X0))) = composition(sk1,join(X0,complement(X0))),
inference(forward_demodulation,[],[f15855,f271]) ).
fof(f16063,plain,
! [X0] : join(sF1,composition(sF4,complement(X0))) = join(composition(sF1,top),composition(one,complement(X0))),
inference(forward_demodulation,[],[f15950,f15779]) ).
fof(f16068,plain,
! [X0] : composition(sk1,top) = join(composition(sk1,top),composition(sF4,complement(X0))),
inference(forward_demodulation,[],[f15960,f15]) ).
fof(f16134,plain,
! [X0] : join(sF1,composition(sF4,complement(X0))) = join(composition(sF1,top),complement(X0)),
inference(forward_demodulation,[],[f16063,f486]) ).
fof(f16137,plain,
! [X0] : sk1 = join(sk1,composition(sF4,complement(X0))),
inference(forward_demodulation,[],[f16068,f56]) ).
fof(f16177,plain,
! [X0] : join(sF1,complement(X0)) = join(sF1,composition(sF4,complement(X0))),
inference(forward_demodulation,[],[f16134,f13054]) ).
fof(f16238,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(join(sF1,complement(X0))),complement(join(complement(sF1),composition(sF4,complement(X0))))),
inference(superposition,[],[f898,f16177]) ).
fof(f16258,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(join(sF1,complement(X0))),complement(join(sk1,composition(sF4,complement(X0))))),
inference(forward_demodulation,[],[f16238,f690]) ).
fof(f16286,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(join(sF1,complement(X0))),complement(sk1)),
inference(forward_demodulation,[],[f16258,f16137]) ).
fof(f16307,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(sk1),complement(join(sF1,complement(X0)))),
inference(forward_demodulation,[],[f16286,f1]) ).
fof(f16311,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(sF1,complement(join(sF1,complement(X0)))),
inference(forward_demodulation,[],[f16307,f35]) ).
fof(f16314,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(complement(complement(X0)),sF1),
inference(forward_demodulation,[],[f16311,f1087]) ).
fof(f16317,plain,
! [X0] : complement(composition(sF4,complement(X0))) = join(sF1,complement(complement(X0))),
inference(forward_demodulation,[],[f16314,f1]) ).
fof(f16320,plain,
! [X0] : join(sF1,X0) = complement(composition(sF4,complement(X0))),
inference(forward_demodulation,[],[f16317,f685]) ).
fof(f16337,plain,
join(sF1,sF6) = complement(composition(sF4,sk2)),
inference(superposition,[],[f16320,f691]) ).
fof(f16451,plain,
join(sF1,sF6) = complement(sF5),
inference(forward_demodulation,[],[f16337,f43]) ).
fof(f16500,plain,
sF7 = complement(sF5),
inference(forward_demodulation,[],[f16451,f47]) ).
fof(f16591,plain,
! [X0] : composition(sF5,X0) = composition(complement(join(sF7,complement(converse(composition(X0,top))))),X0),
inference(superposition,[],[f12508,f16500]) ).
fof(f16597,plain,
! [X0] : composition(sF5,X0) = composition(complement(sF7),X0),
inference(forward_demodulation,[],[f16591,f13332]) ).
fof(f16621,plain,
! [X0] : composition(sF5,X0) = composition(sF8,X0),
inference(forward_demodulation,[],[f16597,f49]) ).
fof(f16680,plain,
sF8 = composition(sF5,one),
inference(superposition,[],[f8,f16621]) ).
fof(f16701,plain,
sF5 = sF8,
inference(forward_demodulation,[],[f16680,f8]) ).
fof(f16741,plain,
$false,
inference(forward_subsumption_resolution,[],[f16701,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL020-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n013.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 22:51:06 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 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
% 31.74/6.15 % (636268)Detected a unit-equality problem, will run specialized UEQ schedule.
% 31.74/6.15 % (636274)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=2082949292:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 31.74/6.15 % (636279)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3925250542:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 31.74/6.15 % (636273)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=1527886964:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 31.74/6.15 % (636276)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2707585698:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 31.74/6.15 % (636275)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3080178151:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 31.74/6.15 % (636278)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3264672506:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 31.74/6.15 % (636277)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2112381813:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 31.74/6.15 % (636276)Instruction limit reached!
% 31.74/6.15 % (636276)------------------------------
% 31.74/6.15 % (636276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/6.15 % (636276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/6.15 % (636276)CaDiCaL version: 2.1.3
% 31.74/6.15 % (636276)Termination reason: Instruction limit
% 31.74/6.15 % (636276)Termination phase: Saturation
% 31.74/6.15 % (636276)Time elapsed: 0.139 s
% 31.74/6.15 % (636276)Peak memory usage: 89 MB
% 31.74/6.15 % (636276)Instructions burned: 136 (million)
% 31.74/6.15 % (636277)Instruction limit reached!
% 31.74/6.15 % (636277)------------------------------
% 31.74/6.15 % (636277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/6.15 % (636277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/6.15 % (636277)CaDiCaL version: 2.1.3
% 31.74/6.15 % (636277)Termination reason: Instruction limit
% 31.74/6.15 % (636277)Termination phase: Saturation
% 31.74/6.15 % (636277)Time elapsed: 0.185 s
% 31.74/6.15 % (636277)Peak memory usage: 89 MB
% 31.74/6.15 % (636277)Instructions burned: 181 (million)
% 31.74/6.15 % (636278)Instruction limit reached!
% 31.74/6.15 % (636278)------------------------------
% 31.74/6.15 % (636278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/6.15 % (636278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/6.15 % (636278)CaDiCaL version: 2.1.3
% 31.74/6.15 % (636278)Termination reason: Instruction limit
% 31.74/6.15 % (636278)Termination phase: Saturation
% 31.74/6.15 % (636278)Time elapsed: 0.273 s
% 31.74/6.15 % (636278)Peak memory usage: 90 MB
% 31.74/6.15 % (636278)Instructions burned: 257 (million)
% 31.74/6.15 % (636289)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3161832548:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 31.74/6.15 % (636290)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1717695301:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 31.74/6.15 % (636291)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3137710673:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 31.74/6.15 % (636291)Instruction limit reached!
% 31.74/6.15 % (636291)------------------------------
% 31.74/6.15 % (636291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/6.15 % (636291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/6.15 % (636291)CaDiCaL version: 2.1.3
% 31.74/6.15 % (636291)Termination reason: Instruction limit
% 31.74/6.15 % (636291)Termination phase: Saturation
% 31.74/6.15 % (636291)Time elapsed: 0.208 s
% 31.74/6.15 % (636291)Peak memory usage: 92 MB
% 31.74/6.15 % (636291)Instructions burned: 216 (million)
% 31.74/6.15 % (636279)Instruction limit reached!
% 31.74/6.15 % (636279)------------------------------
% 31.74/6.15 % (636279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/6.15 % (636279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/6.15 % (636279)CaDiCaL version: 2.1.3
% 31.74/6.15 % (636279)Termination reason: Instruction limit
% 31.74/6.15 % (636279)Termination phase: Saturation
% 31.74/6.15 % (636279)Time elapsed: 1.114 s
% 31.74/6.15 % (636279)Peak memory usage: 102 MB
% 31.74/6.15 % (636279)Instructions burned: 1190 (million)
% 31.74/6.15 % (636295)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=947532689:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 31.74/6.15 % (636296)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=1875409558:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 31.74/6.15 % (636295)Instruction limit reached!
% 31.74/6.15 % (636295)------------------------------
% 31.74/6.15 % (636295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/6.15 % (636295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/6.15 % (636295)CaDiCaL version: 2.1.3
% 31.74/6.15 % (636295)Termination reason: Instruction limit
% 31.74/6.15 % (636295)Termination phase: Saturation
% 31.74/6.15 % (636295)Time elapsed: 0.283 s
% 31.74/6.15 % (636295)Peak memory usage: 90 MB
% 31.74/6.15 % (636295)Instructions burned: 318 (million)
% 31.74/6.15 % (636300)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=867888346:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2982 on theBenchmark for (2982ds/2836Mi)
% 31.74/6.15 % (636289)Instruction limit reached!
% 31.74/6.15 % (636289)------------------------------
% 31.74/6.15 % (636289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/6.15 % (636289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/6.15 % (636289)CaDiCaL version: 2.1.3
% 31.74/6.15 % (636289)Termination reason: Instruction limit
% 31.74/6.15 % (636289)Termination phase: Saturation
% 31.74/6.15 % (636289)Time elapsed: 2.240 s
% 31.74/6.15 % (636289)Peak memory usage: 141 MB
% 31.74/6.15 % (636289)Instructions burned: 2051 (million)
% 31.74/6.15 % (636302)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1081395046:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2970 on theBenchmark for (2970ds/14534Mi)
% 31.74/6.15 % (636296)First to succeed.
% 31.74/6.15 % (636296)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-636268"
% 31.74/6.15 % (636300)Instruction limit reached!
% 31.74/6.15 % (636300)------------------------------
% 31.74/6.15 % (636300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.74/6.15 % (636300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/6.15 % (636300)CaDiCaL version: 2.1.3
% 31.74/6.15 % (636300)Termination reason: Instruction limit
% 31.74/6.15 % (636300)Termination phase: Saturation
% 31.74/6.15 % (636300)Time elapsed: 3.016 s
% 31.74/6.15 % (636300)Peak memory usage: 134 MB
% 31.74/6.15 % (636300)Instructions burned: 2836 (million)
% 31.74/6.15 % (636296)Refutation found. Thanks to Tanya!
% 31.74/6.15 % SZS status Unsatisfiable for theBenchmark
% 31.74/6.15 % SZS output start Proof for theBenchmark
% See solution above
% 37.17/6.44 % (636296)------------------------------
% 37.17/6.44 % (636296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.17/6.44 % (636296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.17/6.44 % (636296)CaDiCaL version: 2.1.3
% 37.17/6.44 % (636296)Termination reason: Refutation
% 37.17/6.44 % (636296)Time elapsed: 3.055 s
% 37.17/6.44 % (636296)Peak memory usage: 149 MB
% 37.17/6.44 % (636296)Instructions burned: 2876 (million)
% 37.17/6.44 % (636296)------------------------------
% 37.17/6.44 % (636296)------------------------------
% 37.17/6.44 % (636268)Success in time 5.125 s
% 37.17/6.44 % Vampire exiting
%------------------------------------------------------------------------------