%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL037-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:34:02 PM UTC 2026
% Result : Unsatisfiable 16.47s 3.25s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 26
% Syntax : Number of formulae : 138 ( 138 unt; 12 def)
% Number of atoms : 138 ( 137 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 131 ( 131 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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,negated_conjecture,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,negated_conjecture,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
sk1 = composition(sk1,top),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
composition(meet(sk2,converse(sk1)),meet(sk1,sk3)) != composition(meet(sk2,converse(sk1)),sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f21,plain,
composition(complement(join(complement(sk2),complement(converse(sk1)))),complement(join(complement(sk1),complement(sk3)))) != composition(complement(join(complement(sk2),complement(converse(sk1)))),sk3),
inference(definition_unfolding,[],[f19,f6,f6,f6]) ).
fof(f22,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,plain,
sk1 = sF0,
inference(definition_folding,[],[f18,f23]) ).
fof(f25,definition,
sF1 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f26,plain,
complement(sk2) = sF1,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF2 = converse(sk1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f28,plain,
converse(sk1) = sF2,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f30,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF4 = join(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f32,plain,
join(sF1,sF3) = sF4,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f34,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF6 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f36,plain,
complement(sk1) = sF6,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF7 = complement(sk3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f38,plain,
complement(sk3) = sF7,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF8 = join(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f40,plain,
join(sF6,sF7) = sF8,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f42,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF10 = composition(sF5,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f44,plain,
composition(sF5,sF9) = sF10,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF11 = composition(sF5,sk3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f46,plain,
composition(sF5,sk3) = sF11,
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
sF10 != sF11,
inference(definition_folding,[],[f21,f46,f34,f32,f30,f28,f26,f44,f42,f40,f38,f36,f34,f32,f30,f28,f26]) ).
fof(f48,plain,
zero = complement(top),
inference(backward_demodulation,[],[f20,f15]) ).
fof(f49,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f50,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f51,plain,
sk1 = composition(sk1,top),
inference(forward_demodulation,[],[f23,f24]) ).
fof(f62,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f50,f15]) ).
fof(f82,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f62,f48]) ).
fof(f119,plain,
complement(top) = join(complement(top),composition(converse(sk1),complement(sk1))),
inference(superposition,[],[f49,f51]) ).
fof(f121,plain,
complement(top) = join(complement(top),composition(converse(sk1),sF6)),
inference(forward_demodulation,[],[f119,f36]) ).
fof(f123,plain,
complement(top) = join(complement(top),composition(sF2,sF6)),
inference(forward_demodulation,[],[f121,f28]) ).
fof(f124,plain,
zero = join(zero,composition(sF2,sF6)),
inference(forward_demodulation,[],[f123,f48]) ).
fof(f134,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f50,f1]) ).
fof(f152,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(f156,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f195,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f248,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f134,f15]) ).
fof(f255,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f248,f1]) ).
fof(f277,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f255,f1]) ).
fof(f289,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f277,f48]) ).
fof(f295,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f82,f289]) ).
fof(f298,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f289,f295]) ).
fof(f311,plain,
sk2 = complement(sF1),
inference(superposition,[],[f295,f26]) ).
fof(f312,plain,
sk3 = complement(sF7),
inference(superposition,[],[f295,f38]) ).
fof(f313,plain,
sF2 = complement(sF3),
inference(superposition,[],[f295,f30]) ).
fof(f318,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f50,f295]) ).
fof(f321,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f134,f295]) ).
fof(f337,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f318,f1]) ).
fof(f425,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,[],[f318,f321]) ).
fof(f428,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,[],[f425,f295]) ).
fof(f443,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,[],[f428,f195]) ).
fof(f456,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,[],[f443,f1]) ).
fof(f468,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f456,f295]) ).
fof(f478,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f468,f295]) ).
fof(f491,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f156,f8]) ).
fof(f502,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f491,f10]) ).
fof(f536,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f152,f12]) ).
fof(f546,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f536,f11]) ).
fof(f556,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f546,f11]) ).
fof(f560,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f556,f12]) ).
fof(f662,plain,
complement(sF3) = join(complement(sF4),complement(join(sF3,complement(sF1)))),
inference(superposition,[],[f337,f32]) ).
fof(f680,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,[],[f321,f337]) ).
fof(f691,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,[],[f680,f1]) ).
fof(f699,plain,
complement(sF3) = join(complement(sF4),complement(join(sF3,sk2))),
inference(forward_demodulation,[],[f662,f311]) ).
fof(f712,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,[],[f691,f1]) ).
fof(f719,plain,
complement(sF3) = join(sF5,complement(join(sF3,sk2))),
inference(forward_demodulation,[],[f699,f34]) ).
fof(f729,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,[],[f712,f2]) ).
fof(f735,plain,
sF2 = join(sF5,complement(join(sF3,sk2))),
inference(forward_demodulation,[],[f719,f313]) ).
fof(f743,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f729,f295]) ).
fof(f755,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f743,f295]) ).
fof(f768,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f49,f502]) ).
fof(f776,plain,
one = converse(one),
inference(superposition,[],[f8,f502]) ).
fof(f780,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f502,f776]) ).
fof(f787,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f768,f780]) ).
fof(f807,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f787,f295]) ).
fof(f818,plain,
! [X0] : complement(complement(X0)) = join(zero,complement(complement(X0))),
inference(superposition,[],[f298,f787]) ).
fof(f828,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f818,f295]) ).
fof(f850,plain,
zero = composition(sF2,sF6),
inference(backward_demodulation,[],[f124,f828]) ).
fof(f892,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1,f828]) ).
fof(f931,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f807]) ).
fof(f933,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f195,f807]) ).
fof(f1051,plain,
! [X0] : composition(join(X0,sF2),sF6) = join(composition(X0,sF6),zero),
inference(superposition,[],[f9,f850]) ).
fof(f1056,plain,
! [X0] : composition(join(X0,sF2),sF6) = join(zero,composition(X0,sF6)),
inference(forward_demodulation,[],[f1051,f1]) ).
fof(f1059,plain,
! [X0] : composition(join(X0,sF2),sF6) = composition(X0,sF6),
inference(forward_demodulation,[],[f1056,f828]) ).
fof(f1270,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f931,f337]) ).
fof(f1311,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1270,f1]) ).
fof(f1335,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f478,f1311]) ).
fof(f1349,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f755,f1335]) ).
fof(f1363,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1349,f933]) ).
fof(f1387,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1363,f1]) ).
fof(f1403,plain,
join(sF6,complement(sF7)) = join(sF6,complement(sF8)),
inference(superposition,[],[f1363,f40]) ).
fof(f1435,plain,
join(sF6,complement(sF7)) = join(sF6,sF9),
inference(forward_demodulation,[],[f1403,f42]) ).
fof(f1455,plain,
join(sF6,sk3) = join(sF6,sF9),
inference(forward_demodulation,[],[f1435,f312]) ).
fof(f1624,plain,
join(sF3,complement(sF1)) = join(sF3,complement(sF4)),
inference(superposition,[],[f1387,f32]) ).
fof(f1660,plain,
join(sF3,complement(sF1)) = join(sF3,sF5),
inference(forward_demodulation,[],[f1624,f34]) ).
fof(f1687,plain,
join(sF3,complement(sF1)) = join(sF5,sF3),
inference(forward_demodulation,[],[f1660,f1]) ).
fof(f1709,plain,
join(sF3,sk2) = join(sF5,sF3),
inference(forward_demodulation,[],[f1687,f311]) ).
fof(f1723,plain,
sF2 = join(sF5,complement(join(sF5,sF3))),
inference(backward_demodulation,[],[f735,f1709]) ).
fof(f1729,plain,
sF2 = join(sF5,complement(sF3)),
inference(forward_demodulation,[],[f1723,f1363]) ).
fof(f1734,plain,
sF2 = join(sF5,sF2),
inference(forward_demodulation,[],[f1729,f313]) ).
fof(f2159,plain,
composition(sF2,sF6) = composition(sF5,sF6),
inference(superposition,[],[f1059,f1734]) ).
fof(f2180,plain,
zero = composition(sF5,sF6),
inference(forward_demodulation,[],[f2159,f850]) ).
fof(f2600,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f560]) ).
fof(f2616,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f2600,f10]) ).
fof(f2693,plain,
! [X0] : composition(sF5,join(sF6,X0)) = join(zero,composition(sF5,X0)),
inference(superposition,[],[f2616,f2180]) ).
fof(f2713,plain,
! [X0] : composition(sF5,join(X0,sF9)) = join(composition(sF5,X0),sF10),
inference(superposition,[],[f2616,f44]) ).
fof(f2739,plain,
! [X0] : join(sF10,composition(sF5,X0)) = composition(sF5,join(X0,sF9)),
inference(forward_demodulation,[],[f2713,f1]) ).
fof(f2755,plain,
! [X0] : composition(sF5,X0) = composition(sF5,join(sF6,X0)),
inference(forward_demodulation,[],[f2693,f828]) ).
fof(f3129,plain,
composition(sF5,sk3) = composition(sF5,join(sF6,sF9)),
inference(superposition,[],[f2755,f1455]) ).
fof(f3153,plain,
composition(sF5,sk3) = join(sF10,composition(sF5,sF6)),
inference(forward_demodulation,[],[f3129,f2739]) ).
fof(f3162,plain,
composition(sF5,sk3) = join(sF10,zero),
inference(forward_demodulation,[],[f3153,f2180]) ).
fof(f3163,plain,
sF10 = composition(sF5,sk3),
inference(forward_demodulation,[],[f3162,f892]) ).
fof(f3164,plain,
sF10 = sF11,
inference(backward_demodulation,[],[f46,f3163]) ).
fof(f3165,plain,
$false,
inference(forward_subsumption_resolution,[],[f3164,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL037-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n017.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 22:50:50 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.47/3.25 % (3044489)Detected a unit-equality problem, will run specialized UEQ schedule.
% 16.47/3.25 % (3044500)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=383808406:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 16.47/3.25 % (3044494)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=1611417494:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 16.47/3.25 % (3044496)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=70949967:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 16.47/3.25 % (3044495)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=3193473381:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 16.47/3.25 % (3044499)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3649991728:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 16.47/3.25 % (3044498)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1548866992:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 16.47/3.25 % (3044497)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1113527023:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 16.47/3.25 % (3044497)Instruction limit reached!
% 16.47/3.25 % (3044497)------------------------------
% 16.47/3.25 % (3044497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.25 % (3044497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.25 % (3044497)CaDiCaL version: 2.1.3
% 16.47/3.25 % (3044497)Termination reason: Instruction limit
% 16.47/3.25 % (3044497)Termination phase: Saturation
% 16.47/3.25 % (3044497)Time elapsed: 0.143 s
% 16.47/3.25 % (3044497)Peak memory usage: 89 MB
% 16.47/3.25 % (3044497)Instructions burned: 136 (million)
% 16.47/3.25 % (3044498)Instruction limit reached!
% 16.47/3.25 % (3044498)------------------------------
% 16.47/3.25 % (3044498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.25 % (3044498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.25 % (3044498)CaDiCaL version: 2.1.3
% 16.47/3.25 % (3044498)Termination reason: Instruction limit
% 16.47/3.25 % (3044498)Termination phase: Saturation
% 16.47/3.25 % (3044498)Time elapsed: 0.176 s
% 16.47/3.25 % (3044498)Peak memory usage: 90 MB
% 16.47/3.25 % (3044498)Instructions burned: 182 (million)
% 16.47/3.25 % (3044499)Instruction limit reached!
% 16.47/3.25 % (3044499)------------------------------
% 16.47/3.25 % (3044499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.25 % (3044499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.25 % (3044499)CaDiCaL version: 2.1.3
% 16.47/3.25 % (3044499)Termination reason: Instruction limit
% 16.47/3.25 % (3044499)Termination phase: Saturation
% 16.47/3.25 % (3044499)Time elapsed: 0.244 s
% 16.47/3.25 % (3044499)Peak memory usage: 90 MB
% 16.47/3.25 % (3044499)Instructions burned: 258 (million)
% 16.47/3.25 % (3044508)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=298711334:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 16.47/3.25 % (3044509)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2453431824:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 16.47/3.25 % (3044510)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2846531869:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 16.47/3.25 % (3044500)Instruction limit reached!
% 16.47/3.25 % (3044500)------------------------------
% 16.47/3.25 % (3044500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.25 % (3044500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.25 % (3044500)CaDiCaL version: 2.1.3
% 16.47/3.25 % (3044500)Termination reason: Instruction limit
% 16.47/3.25 % (3044500)Termination phase: Saturation
% 16.47/3.25 % (3044500)Time elapsed: 0.592 s
% 16.47/3.25 % (3044500)Peak memory usage: 99 MB
% 16.47/3.25 % (3044500)Instructions burned: 1188 (million)
% 16.47/3.25 % (3044510)Instruction limit reached!
% 16.47/3.25 % (3044510)------------------------------
% 16.47/3.25 % (3044510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.25 % (3044510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.25 % (3044510)CaDiCaL version: 2.1.3
% 16.47/3.25 % (3044510)Termination reason: Instruction limit
% 16.47/3.25 % (3044510)Termination phase: Saturation
% 16.47/3.25 % (3044510)Time elapsed: 0.188 s
% 16.47/3.25 % (3044510)Peak memory usage: 92 MB
% 16.47/3.25 % (3044510)Instructions burned: 216 (million)
% 16.47/3.25 % (3044514)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=2614555148:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 16.47/3.25 % (3044514)Instruction limit reached!
% 16.47/3.25 % (3044514)------------------------------
% 16.47/3.25 % (3044514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.25 % (3044514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.25 % (3044514)CaDiCaL version: 2.1.3
% 16.47/3.25 % (3044514)Termination reason: Instruction limit
% 16.47/3.25 % (3044514)Termination phase: Saturation
% 16.47/3.25 % (3044514)Time elapsed: 0.158 s
% 16.47/3.25 % (3044514)Peak memory usage: 91 MB
% 16.47/3.25 % (3044514)Instructions burned: 317 (million)
% 16.47/3.25 % (3044516)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=1012091495:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/12125Mi)
% 16.47/3.25 % (3044519)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3034871064:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2988 on theBenchmark for (2988ds/2836Mi)
% 16.47/3.25 % (3044496)First to succeed.
% 16.47/3.25 % (3044496)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3044489"
% 16.47/3.25 % (3044494)Also succeeded, but the first one will report.
% 16.47/3.25 % (3044496)Refutation found. Thanks to Tanya!
% 16.47/3.25 % SZS status Unsatisfiable for theBenchmark
% 16.47/3.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/3.50 % (3044496)------------------------------
% 0.22/3.50 % (3044496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/3.50 % (3044496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/3.50 % (3044496)CaDiCaL version: 2.1.3
% 0.22/3.50 % (3044496)Termination reason: Refutation
% 0.22/3.50 % (3044496)Time elapsed: 1.559 s
% 0.22/3.50 % (3044496)Peak memory usage: 133 MB
% 0.22/3.50 % (3044496)Instructions burned: 1449 (million)
% 0.22/3.50 % (3044496)------------------------------
% 0.22/3.50 % (3044496)------------------------------
% 0.22/3.50 % (3044489)Success in time 2.307 s
% 0.22/3.50 % Vampire exiting
%------------------------------------------------------------------------------