%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL021-1 : 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 : 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 17.05s 3.29s
% Output : Refutation 17.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 24
% Syntax : Number of formulae : 261 ( 261 unt; 10 def)
% Number of atoms : 261 ( 260 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 20 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 253 ( 253 !; 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,negated_conjecture,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,negated_conjecture,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,negated_conjecture,
! [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,
join(composition(meet(sk1,one),sk2),meet(sk1,sk2)) != meet(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
meet(sk1,sk2) != join(composition(meet(sk1,one),sk2),meet(sk1,sk2)),
inference(reorient_equations,[],[f19]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,plain,
complement(join(complement(sk1),complement(sk2))) != join(composition(complement(join(complement(sk1),complement(one))),sk2),complement(join(complement(sk1),complement(sk2)))),
inference(definition_unfolding,[],[f20,f6,f6,f6]) ).
fof(f23,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f24,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sk1 = sF0,
inference(definition_folding,[],[f18,f24]) ).
fof(f26,definition,
sF1 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f27,plain,
complement(sk1) = sF1,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF2 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f29,plain,
complement(sk2) = sF2,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF3 = join(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f31,plain,
join(sF1,sF2) = sF3,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f33,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF5 = complement(one),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f35,plain,
complement(one) = sF5,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF6 = join(sF1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f37,plain,
join(sF1,sF5) = sF6,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f39,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF8 = composition(sF7,sk2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f41,plain,
composition(sF7,sk2) = sF8,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF9 = join(sF8,sF4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f43,plain,
join(sF8,sF4) = sF9,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
sF4 != sF9,
inference(definition_folding,[],[f22,f43,f33,f31,f29,f27,f41,f39,f37,f35,f27,f33,f31,f29,f27]) ).
fof(f45,plain,
zero = complement(top),
inference(backward_demodulation,[],[f21,f15]) ).
fof(f46,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f47,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f48,plain,
sk1 = composition(sk1,top),
inference(forward_demodulation,[],[f24,f25]) ).
fof(f61,plain,
! [X0] : join(complement(join(complement(X0),sk1)),complement(join(complement(X0),sF1))) = X0,
inference(superposition,[],[f47,f27]) ).
fof(f68,plain,
! [X0] : join(complement(join(complement(X0),sF1)),complement(join(complement(X0),sk1))) = X0,
inference(forward_demodulation,[],[f61,f1]) ).
fof(f73,plain,
! [X0] : join(complement(join(complement(X0),sF1)),complement(join(sk1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f68,f1]) ).
fof(f78,plain,
! [X0] : join(complement(join(sk1,complement(X0))),complement(join(complement(X0),sF1))) = X0,
inference(forward_demodulation,[],[f73,f1]) ).
fof(f82,plain,
! [X0] : join(complement(join(sk1,complement(X0))),complement(join(sF1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f78,f1]) ).
fof(f85,plain,
! [X0] : join(complement(join(sF1,complement(X0))),complement(join(sk1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f82,f1]) ).
fof(f103,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f47,f15]) ).
fof(f104,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f103,f45]) ).
fof(f115,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f47,f1]) ).
fof(f125,plain,
! [X0] : composition(join(X0,sk1),top) = join(composition(X0,top),sk1),
inference(superposition,[],[f9,f48]) ).
fof(f134,plain,
! [X0] : join(sk1,composition(X0,top)) = composition(join(X0,sk1),top),
inference(forward_demodulation,[],[f125,f1]) ).
fof(f136,plain,
top = join(top,zero),
inference(superposition,[],[f15,f45]) ).
fof(f144,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f146,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f152,plain,
! [X0] : join(sF1,join(sF5,X0)) = join(sF6,X0),
inference(superposition,[],[f2,f37]) ).
fof(f153,plain,
! [X0] : join(sF1,join(sF2,X0)) = join(sF3,X0),
inference(superposition,[],[f2,f31]) ).
fof(f160,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f164,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(f199,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f115,f15]) ).
fof(f206,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f199,f1]) ).
fof(f226,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f206,f1]) ).
fof(f237,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f226,f45]) ).
fof(f243,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f104,f237]) ).
fof(f246,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f237,f243]) ).
fof(f257,plain,
one = complement(sF5),
inference(superposition,[],[f243,f35]) ).
fof(f258,plain,
top = complement(zero),
inference(superposition,[],[f243,f45]) ).
fof(f259,plain,
sk1 = complement(sF1),
inference(superposition,[],[f243,f27]) ).
fof(f260,plain,
sk2 = complement(sF2),
inference(superposition,[],[f243,f29]) ).
fof(f265,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f47,f243]) ).
fof(f268,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f115,f243]) ).
fof(f283,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f265,f1]) ).
fof(f304,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),complement(complement(X0))),
inference(superposition,[],[f265,f265]) ).
fof(f309,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(X0,complement(X1))))),
inference(forward_demodulation,[],[f304,f1]) ).
fof(f326,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(join(X0,complement(X1)),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f309,f1]) ).
fof(f335,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,[],[f326,f2]) ).
fof(f340,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f335,f243]) ).
fof(f342,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f340,f243]) ).
fof(f536,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f146,f15]) ).
fof(f588,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f536,f160]) ).
fof(f598,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f602,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f46,f10]) ).
fof(f629,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f598,f8]) ).
fof(f640,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f629,f10]) ).
fof(f669,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(complement(join(X0,X0)),complement(zero)))),
inference(superposition,[],[f283,f246]) ).
fof(f670,plain,
complement(sF5) = join(complement(sF6),complement(join(sF5,complement(sF1)))),
inference(superposition,[],[f283,f37]) ).
fof(f692,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,[],[f268,f283]) ).
fof(f705,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,[],[f692,f1]) ).
fof(f714,plain,
complement(sF5) = join(complement(sF6),complement(join(sF5,sk1))),
inference(forward_demodulation,[],[f670,f259]) ).
fof(f715,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(complement(zero),complement(join(X0,X0))))),
inference(forward_demodulation,[],[f669,f1]) ).
fof(f726,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,[],[f705,f1]) ).
fof(f733,plain,
complement(sF5) = join(sF7,complement(join(sF5,sk1))),
inference(forward_demodulation,[],[f714,f39]) ).
fof(f734,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f715,f258]) ).
fof(f742,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,[],[f726,f2]) ).
fof(f748,plain,
one = join(sF7,complement(join(sF5,sk1))),
inference(forward_demodulation,[],[f733,f257]) ).
fof(f749,plain,
! [X0] : complement(complement(join(X0,X0))) = join(X0,complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f734,f243]) ).
fof(f756,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f742,f243]) ).
fof(f761,plain,
! [X0] : join(X0,X0) = join(X0,complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f749,f243]) ).
fof(f768,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f756,f243]) ).
fof(f818,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(join(X1,X0),complement(X0)),
inference(superposition,[],[f144,f283]) ).
fof(f855,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f818,f1]) ).
fof(f869,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f855,f160]) ).
fof(f874,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f869,f144]) ).
fof(f1116,plain,
! [X0] : complement(X0) = join(complement(join(sF1,X0)),complement(join(sk1,X0))),
inference(superposition,[],[f85,f243]) ).
fof(f1128,plain,
! [X0] : join(top,complement(join(sk1,complement(X0)))) = join(join(sF1,complement(X0)),X0),
inference(superposition,[],[f144,f85]) ).
fof(f1147,plain,
! [X0] : join(top,complement(join(sk1,complement(X0)))) = join(X0,join(sF1,complement(X0))),
inference(forward_demodulation,[],[f1128,f1]) ).
fof(f1167,plain,
! [X0] : join(top,complement(join(sk1,complement(X0)))) = join(top,sF1),
inference(forward_demodulation,[],[f1147,f588]) ).
fof(f1180,plain,
! [X0] : join(sF1,top) = join(top,complement(join(sk1,complement(X0)))),
inference(forward_demodulation,[],[f1167,f1]) ).
fof(f1188,plain,
! [X0] : join(top,X0) = join(sF1,top),
inference(forward_demodulation,[],[f1180,f874]) ).
fof(f1191,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(sF1,top),
inference(backward_demodulation,[],[f144,f1188]) ).
fof(f1218,plain,
! [X0] : join(X0,X0) = join(X0,complement(join(sF1,top))),
inference(backward_demodulation,[],[f761,f1188]) ).
fof(f1221,plain,
top = join(sF1,top),
inference(backward_demodulation,[],[f136,f1188]) ).
fof(f1225,plain,
! [X0] : join(X0,X0) = join(X0,complement(top)),
inference(forward_demodulation,[],[f1218,f1221]) ).
fof(f1252,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f1191,f1221]) ).
fof(f1253,plain,
! [X0] : join(X0,X0) = join(X0,zero),
inference(forward_demodulation,[],[f1225,f45]) ).
fof(f1284,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X1,join(X0,zero)),
inference(superposition,[],[f160,f1253]) ).
fof(f1285,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,join(X0,zero)),
inference(superposition,[],[f160,f1253]) ).
fof(f1295,plain,
! [X0,X1] : join(X0,join(X1,join(X0,X1))) = join(join(X0,X1),zero),
inference(superposition,[],[f2,f1253]) ).
fof(f1303,plain,
! [X0] : join(zero,X0) = join(X0,X0),
inference(superposition,[],[f1,f1253]) ).
fof(f1328,plain,
! [X0,X1] : join(X0,join(X1,join(X0,X1))) = join(zero,join(X0,X1)),
inference(forward_demodulation,[],[f1295,f1]) ).
fof(f1402,plain,
! [X0,X1] : join(X1,join(X0,X0)) = join(zero,join(X0,X1)),
inference(superposition,[],[f160,f1303]) ).
fof(f1403,plain,
! [X0,X1] : join(X0,join(X1,zero)) = join(X1,join(X0,X0)),
inference(superposition,[],[f160,f1303]) ).
fof(f1714,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = join(complement(top),complement(join(join(complement(X0),X1),complement(X0)))),
inference(superposition,[],[f283,f1252]) ).
fof(f1728,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = join(complement(top),complement(join(complement(X0),join(complement(X0),X1)))),
inference(forward_demodulation,[],[f1714,f1]) ).
fof(f1749,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = join(complement(top),complement(join(X1,join(complement(X0),zero)))),
inference(forward_demodulation,[],[f1728,f1284]) ).
fof(f1759,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = join(complement(top),complement(join(X1,join(zero,complement(X0))))),
inference(forward_demodulation,[],[f1749,f1]) ).
fof(f1762,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = join(zero,complement(join(X1,join(zero,complement(X0))))),
inference(forward_demodulation,[],[f1759,f45]) ).
fof(f2330,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f602,f640]) ).
fof(f2333,plain,
! [X0,X1] : composition(join(X1,converse(one)),X0) = join(composition(X1,X0),X0),
inference(superposition,[],[f9,f640]) ).
fof(f2336,plain,
one = converse(one),
inference(superposition,[],[f8,f640]) ).
fof(f2339,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f640,f2336]) ).
fof(f2342,plain,
! [X0,X1] : composition(join(X1,converse(one)),X0) = join(X0,composition(X1,X0)),
inference(forward_demodulation,[],[f2333,f1]) ).
fof(f2345,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f2330,f2339]) ).
fof(f2347,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(X1,one),X0),
inference(forward_demodulation,[],[f2342,f2336]) ).
fof(f2348,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f2345,f1253]) ).
fof(f2351,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f2348,f1]) ).
fof(f2354,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = join(zero,complement(join(X1,complement(X0)))),
inference(backward_demodulation,[],[f1762,f2351]) ).
fof(f2356,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(backward_demodulation,[],[f246,f2351]) ).
fof(f2372,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f2354,f2351]) ).
fof(f2413,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f243,f2356]) ).
fof(f2423,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f2413,f243]) ).
fof(f2444,plain,
! [X0] : join(X0,zero) = X0,
inference(backward_demodulation,[],[f1253,f2423]) ).
fof(f2445,plain,
! [X0] : join(zero,X0) = X0,
inference(backward_demodulation,[],[f1303,f2423]) ).
fof(f2451,plain,
! [X0,X1] : join(X1,X0) = join(zero,join(X0,X1)),
inference(backward_demodulation,[],[f1402,f2423]) ).
fof(f2452,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,zero)),
inference(backward_demodulation,[],[f1403,f2423]) ).
fof(f2494,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(backward_demodulation,[],[f1284,f2452]) ).
fof(f2495,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(backward_demodulation,[],[f1285,f2452]) ).
fof(f2497,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,join(X0,X1))),
inference(backward_demodulation,[],[f1328,f2451]) ).
fof(f2531,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f2497,f2495]) ).
fof(f2672,plain,
join(sF2,sF1) = join(sF3,sF1),
inference(superposition,[],[f153,f2531]) ).
fof(f2673,plain,
join(sF5,sF1) = join(sF6,sF1),
inference(superposition,[],[f152,f2531]) ).
fof(f2684,plain,
join(sF5,sF1) = join(sF1,sF6),
inference(forward_demodulation,[],[f2673,f1]) ).
fof(f2685,plain,
join(sF2,sF1) = join(sF1,sF3),
inference(forward_demodulation,[],[f2672,f1]) ).
fof(f2718,plain,
join(sF1,sF5) = join(sF1,sF6),
inference(forward_demodulation,[],[f2684,f1]) ).
fof(f2719,plain,
join(sF1,sF2) = join(sF1,sF3),
inference(forward_demodulation,[],[f2685,f1]) ).
fof(f2737,plain,
sF6 = join(sF1,sF6),
inference(forward_demodulation,[],[f2718,f37]) ).
fof(f2738,plain,
sF3 = join(sF1,sF3),
inference(forward_demodulation,[],[f2719,f31]) ).
fof(f3005,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f2494,f283]) ).
fof(f3068,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f3005,f1]) ).
fof(f3086,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f342,f3068]) ).
fof(f3093,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f768,f3086]) ).
fof(f3096,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f3093,f2495]) ).
fof(f3118,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f3096,f1]) ).
fof(f3141,plain,
join(sF5,complement(sF1)) = join(sF5,complement(sF6)),
inference(superposition,[],[f3096,f37]) ).
fof(f3200,plain,
join(sF5,complement(sF1)) = join(sF5,sF7),
inference(forward_demodulation,[],[f3141,f39]) ).
fof(f3239,plain,
join(sF5,sk1) = join(sF5,sF7),
inference(forward_demodulation,[],[f3200,f259]) ).
fof(f3267,plain,
one = join(sF7,complement(join(sF5,sF7))),
inference(backward_demodulation,[],[f748,f3239]) ).
fof(f3285,plain,
one = join(sF7,complement(sF5)),
inference(forward_demodulation,[],[f3267,f3096]) ).
fof(f3293,plain,
one = join(sF7,one),
inference(forward_demodulation,[],[f3285,f257]) ).
fof(f3368,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),complement(join(join(X1,X0),complement(X0)))),
inference(superposition,[],[f283,f2495]) ).
fof(f3402,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),complement(join(complement(X0),join(X1,X0)))),
inference(forward_demodulation,[],[f3368,f2372]) ).
fof(f3456,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),complement(join(X0,join(complement(X0),X1)))),
inference(forward_demodulation,[],[f3402,f160]) ).
fof(f3495,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),complement(top)),
inference(forward_demodulation,[],[f3456,f1252]) ).
fof(f3513,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(top),complement(join(X0,X1))),
inference(forward_demodulation,[],[f3495,f1]) ).
fof(f3522,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,X1))),
inference(forward_demodulation,[],[f3513,f45]) ).
fof(f3531,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f3522,f2445]) ).
fof(f3543,plain,
complement(sF1) = join(complement(sF3),complement(join(complement(sF3),sF1))),
inference(superposition,[],[f268,f2738]) ).
fof(f3551,plain,
complement(sF1) = join(complement(sF3),complement(sF1)),
inference(forward_demodulation,[],[f3543,f3118]) ).
fof(f3557,plain,
complement(sF1) = join(complement(sF1),complement(sF3)),
inference(forward_demodulation,[],[f3551,f1]) ).
fof(f3559,plain,
complement(sF1) = join(complement(sF1),sF4),
inference(forward_demodulation,[],[f3557,f33]) ).
fof(f3561,plain,
complement(sF1) = join(sF4,complement(sF1)),
inference(forward_demodulation,[],[f3559,f1]) ).
fof(f3563,plain,
sk1 = join(sF4,sk1),
inference(forward_demodulation,[],[f3561,f259]) ).
fof(f3565,plain,
sk1 = join(sk1,sF4),
inference(forward_demodulation,[],[f3563,f1]) ).
fof(f3616,plain,
complement(sF1) = join(complement(sF6),complement(join(complement(sF6),sF1))),
inference(superposition,[],[f268,f2737]) ).
fof(f3624,plain,
complement(sF1) = join(complement(sF6),complement(sF1)),
inference(forward_demodulation,[],[f3616,f3118]) ).
fof(f3630,plain,
complement(sF1) = join(complement(sF1),complement(sF6)),
inference(forward_demodulation,[],[f3624,f1]) ).
fof(f3632,plain,
complement(sF1) = join(complement(sF1),sF7),
inference(forward_demodulation,[],[f3630,f39]) ).
fof(f3634,plain,
complement(sF1) = join(sF7,complement(sF1)),
inference(forward_demodulation,[],[f3632,f1]) ).
fof(f3636,plain,
sk1 = join(sF7,sk1),
inference(forward_demodulation,[],[f3634,f259]) ).
fof(f4227,plain,
join(sF1,complement(sF2)) = join(sF1,complement(sF3)),
inference(superposition,[],[f3118,f31]) ).
fof(f4294,plain,
join(sF1,complement(sF2)) = join(sF1,sF4),
inference(forward_demodulation,[],[f4227,f33]) ).
fof(f4334,plain,
join(sF1,sk2) = join(sF1,sF4),
inference(forward_demodulation,[],[f4294,f260]) ).
fof(f6766,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF7,X0)),
inference(superposition,[],[f2347,f3293]) ).
fof(f6821,plain,
! [X0] : join(X0,composition(sF7,X0)) = X0,
inference(forward_demodulation,[],[f6766,f2339]) ).
fof(f6868,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sF7,X0),X1)),
inference(superposition,[],[f2,f6821]) ).
fof(f6870,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF7,X0),X1)),
inference(superposition,[],[f160,f6821]) ).
fof(f6885,plain,
! [X0] : complement(composition(sF7,complement(X0))) = join(complement(join(composition(sF7,complement(X0)),X0)),complement(complement(X0))),
inference(superposition,[],[f268,f6821]) ).
fof(f6907,plain,
! [X0] : complement(composition(sF7,complement(X0))) = join(complement(complement(X0)),complement(join(composition(sF7,complement(X0)),X0))),
inference(forward_demodulation,[],[f6885,f1]) ).
fof(f6934,plain,
! [X0] : complement(composition(sF7,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sF7,complement(X0))))),
inference(forward_demodulation,[],[f6907,f3531]) ).
fof(f6945,plain,
! [X0] : complement(composition(sF7,complement(X0))) = join(X0,complement(join(X0,composition(sF7,complement(X0))))),
inference(forward_demodulation,[],[f6934,f243]) ).
fof(f6950,plain,
! [X0] : complement(composition(sF7,complement(X0))) = join(X0,complement(composition(sF7,complement(X0)))),
inference(forward_demodulation,[],[f6945,f3118]) ).
fof(f10850,plain,
join(sF3,complement(composition(sF7,complement(sF2)))) = join(sF1,complement(composition(sF7,complement(sF2)))),
inference(superposition,[],[f153,f6950]) ).
fof(f10862,plain,
join(sF3,complement(composition(sF7,sk2))) = join(sF1,complement(composition(sF7,sk2))),
inference(forward_demodulation,[],[f10850,f260]) ).
fof(f10894,plain,
join(sF3,complement(sF8)) = join(sF1,complement(sF8)),
inference(forward_demodulation,[],[f10862,f41]) ).
fof(f12820,plain,
composition(sk1,top) = join(sk1,composition(sF7,top)),
inference(superposition,[],[f134,f3636]) ).
fof(f12838,plain,
sk1 = join(sk1,composition(sF7,top)),
inference(forward_demodulation,[],[f12820,f48]) ).
fof(f12873,plain,
join(sk1,complement(sk1)) = join(sk1,complement(composition(sF7,top))),
inference(superposition,[],[f3118,f12838]) ).
fof(f12877,plain,
top = join(sk1,complement(composition(sF7,top))),
inference(forward_demodulation,[],[f12873,f15]) ).
fof(f20499,plain,
complement(sF3) = join(complement(join(sF3,sF8)),complement(join(sF1,complement(sF8)))),
inference(superposition,[],[f265,f10894]) ).
fof(f20543,plain,
sF4 = join(complement(join(sF3,sF8)),complement(join(sF1,complement(sF8)))),
inference(forward_demodulation,[],[f20499,f33]) ).
fof(f21437,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f164,f12]) ).
fof(f21509,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f21437,f11]) ).
fof(f21569,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f21509,f11]) ).
fof(f21602,plain,
! [X2,X0,X1] : converse(composition(X0,join(X2,X1))) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f21569,f12]) ).
fof(f21707,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f21602]) ).
fof(f21744,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f21707,f10]) ).
fof(f21955,plain,
! [X0] : composition(sF7,join(X0,sk2)) = join(composition(sF7,X0),sF8),
inference(superposition,[],[f21744,f41]) ).
fof(f21972,plain,
! [X0,X1] : join(X0,composition(sF7,join(X0,X1))) = join(composition(sF7,X1),X0),
inference(superposition,[],[f6870,f21744]) ).
fof(f21973,plain,
! [X0,X1] : join(X0,composition(sF7,join(X0,X1))) = join(X0,composition(sF7,X1)),
inference(superposition,[],[f6868,f21744]) ).
fof(f22053,plain,
! [X0] : join(sF8,composition(sF7,X0)) = composition(sF7,join(X0,sk2)),
inference(forward_demodulation,[],[f21955,f1]) ).
fof(f22214,plain,
join(sF8,composition(sF7,sF1)) = composition(sF7,join(sF1,sF4)),
inference(superposition,[],[f22053,f4334]) ).
fof(f23037,plain,
! [X0] : join(composition(sF7,complement(X0)),X0) = join(X0,composition(sF7,top)),
inference(superposition,[],[f21972,f15]) ).
fof(f23092,plain,
join(sk1,composition(sF7,sk1)) = join(composition(sF7,sF4),sk1),
inference(superposition,[],[f21972,f3565]) ).
fof(f23105,plain,
join(composition(sF7,sk2),sF1) = join(sF1,composition(sF7,join(sF1,sF4))),
inference(superposition,[],[f21972,f4334]) ).
fof(f23333,plain,
join(composition(sF7,sk2),sF1) = join(sF1,composition(sF7,sF4)),
inference(forward_demodulation,[],[f23105,f21973]) ).
fof(f23346,plain,
join(sk1,composition(sF7,sk1)) = join(sk1,composition(sF7,sF4)),
inference(forward_demodulation,[],[f23092,f1]) ).
fof(f23391,plain,
! [X0] : join(X0,composition(sF7,complement(X0))) = join(X0,composition(sF7,top)),
inference(forward_demodulation,[],[f23037,f1]) ).
fof(f23477,plain,
join(sF1,composition(sF7,sF4)) = join(sF1,composition(sF7,sk2)),
inference(forward_demodulation,[],[f23333,f1]) ).
fof(f23484,plain,
sk1 = join(sk1,composition(sF7,sF4)),
inference(forward_demodulation,[],[f23346,f6821]) ).
fof(f23541,plain,
join(sF1,composition(sF7,sF4)) = join(sF1,sF8),
inference(forward_demodulation,[],[f23477,f41]) ).
fof(f23569,plain,
complement(composition(sF7,sF4)) = join(complement(join(sF1,sF8)),complement(join(sk1,composition(sF7,sF4)))),
inference(superposition,[],[f1116,f23541]) ).
fof(f23619,plain,
complement(composition(sF7,sF4)) = join(complement(join(sF1,sF8)),complement(sk1)),
inference(forward_demodulation,[],[f23569,f23484]) ).
fof(f23639,plain,
complement(composition(sF7,sF4)) = join(complement(sk1),complement(join(sF1,sF8))),
inference(forward_demodulation,[],[f23619,f1]) ).
fof(f23650,plain,
complement(composition(sF7,sF4)) = join(sF1,complement(join(sF1,sF8))),
inference(forward_demodulation,[],[f23639,f27]) ).
fof(f23657,plain,
complement(composition(sF7,sF4)) = join(sF1,complement(sF8)),
inference(forward_demodulation,[],[f23650,f3118]) ).
fof(f23762,plain,
composition(sF7,sF4) = complement(join(sF1,complement(sF8))),
inference(superposition,[],[f243,f23657]) ).
fof(f23787,plain,
sF4 = join(complement(join(sF3,sF8)),composition(sF7,sF4)),
inference(backward_demodulation,[],[f20543,f23762]) ).
fof(f23797,plain,
sF4 = join(composition(sF7,sF4),complement(join(sF3,sF8))),
inference(forward_demodulation,[],[f23787,f1]) ).
fof(f23857,plain,
! [X0] : join(X0,complement(composition(sF7,complement(X0)))) = join(X0,complement(join(X0,composition(sF7,top)))),
inference(superposition,[],[f3118,f23391]) ).
fof(f23939,plain,
! [X0] : join(X0,complement(composition(sF7,complement(X0)))) = join(X0,complement(composition(sF7,top))),
inference(forward_demodulation,[],[f23857,f3118]) ).
fof(f24006,plain,
! [X0] : complement(composition(sF7,complement(X0))) = join(X0,complement(composition(sF7,top))),
inference(forward_demodulation,[],[f23939,f6950]) ).
fof(f24050,plain,
top = complement(composition(sF7,complement(sk1))),
inference(backward_demodulation,[],[f12877,f24006]) ).
fof(f24083,plain,
top = complement(composition(sF7,sF1)),
inference(forward_demodulation,[],[f24050,f27]) ).
fof(f24137,plain,
complement(top) = composition(sF7,sF1),
inference(superposition,[],[f243,f24083]) ).
fof(f24164,plain,
zero = composition(sF7,sF1),
inference(forward_demodulation,[],[f24137,f45]) ).
fof(f24180,plain,
join(sF8,zero) = composition(sF7,join(sF1,sF4)),
inference(backward_demodulation,[],[f22214,f24164]) ).
fof(f24196,plain,
sF8 = composition(sF7,join(sF1,sF4)),
inference(forward_demodulation,[],[f24180,f2444]) ).
fof(f24227,plain,
! [X0] : join(zero,composition(sF7,X0)) = composition(sF7,join(sF1,X0)),
inference(superposition,[],[f21744,f24164]) ).
fof(f24230,plain,
! [X0] : composition(sF7,X0) = composition(sF7,join(sF1,X0)),
inference(forward_demodulation,[],[f24227,f2445]) ).
fof(f24243,plain,
sF8 = composition(sF7,sF4),
inference(backward_demodulation,[],[f24196,f24230]) ).
fof(f24286,plain,
sF4 = join(sF8,complement(join(sF3,sF8))),
inference(backward_demodulation,[],[f23797,f24243]) ).
fof(f24291,plain,
sF4 = join(sF8,complement(sF3)),
inference(forward_demodulation,[],[f24286,f3096]) ).
fof(f24313,plain,
sF4 = join(sF8,sF4),
inference(forward_demodulation,[],[f24291,f33]) ).
fof(f24318,plain,
sF4 = sF9,
inference(backward_demodulation,[],[f43,f24313]) ).
fof(f24321,plain,
$false,
inference(forward_subsumption_resolution,[],[f24318,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL021-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:51:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 17.05/3.29 % (637292)Detected a unit-equality problem, will run specialized UEQ schedule.
% 17.05/3.29 % (637300)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1760311747:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 17.05/3.29 % (637303)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1048724052:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 17.05/3.29 % (637299)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3056358091:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 17.05/3.29 % (637297)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=2550460070:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 17.05/3.29 % (637298)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=1396954414:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 17.05/3.29 % (637301)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2391492170:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 17.05/3.29 % (637302)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1337986849:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 17.05/3.29 % (637300)Instruction limit reached!
% 17.05/3.29 % (637300)------------------------------
% 17.05/3.29 % (637300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.05/3.29 % (637300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.05/3.29 % (637300)CaDiCaL version: 2.1.3
% 17.05/3.29 % (637300)Termination reason: Instruction limit
% 17.05/3.29 % (637300)Termination phase: Saturation
% 17.05/3.29 % (637300)Time elapsed: 0.045 s
% 17.05/3.29 % (637300)Peak memory usage: 89 MB
% 17.05/3.29 % (637300)Instructions burned: 137 (million)
% 17.05/3.29 % (637311)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2610875872:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 17.05/3.29 % (637301)Instruction limit reached!
% 17.05/3.29 % (637301)------------------------------
% 17.05/3.29 % (637301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.05/3.29 % (637301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.05/3.29 % (637301)CaDiCaL version: 2.1.3
% 17.05/3.29 % (637301)Termination reason: Instruction limit
% 17.05/3.29 % (637301)Termination phase: Saturation
% 17.05/3.29 % (637301)Time elapsed: 0.111 s
% 17.05/3.29 % (637301)Peak memory usage: 90 MB
% 17.05/3.29 % (637301)Instructions burned: 181 (million)
% 17.05/3.29 % (637302)Instruction limit reached!
% 17.05/3.29 % (637302)------------------------------
% 17.05/3.29 % (637302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.05/3.29 % (637302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.05/3.29 % (637302)CaDiCaL version: 2.1.3
% 17.05/3.29 % (637302)Termination reason: Instruction limit
% 17.05/3.29 % (637302)Termination phase: Saturation
% 17.05/3.29 % (637302)Time elapsed: 0.167 s
% 17.05/3.29 % (637302)Peak memory usage: 90 MB
% 17.05/3.29 % (637302)Instructions burned: 257 (million)
% 17.05/3.29 % (637313)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=893562322:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 17.05/3.29 % (637314)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3589082065:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 17.05/3.29 % (637314)Instruction limit reached!
% 17.05/3.29 % (637314)------------------------------
% 17.05/3.29 % (637314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.05/3.29 % (637314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.05/3.29 % (637314)CaDiCaL version: 2.1.3
% 17.05/3.29 % (637314)Termination reason: Instruction limit
% 17.05/3.29 % (637314)Termination phase: Saturation
% 17.05/3.29 % (637314)Time elapsed: 0.121 s
% 17.05/3.29 % (637314)Peak memory usage: 92 MB
% 17.05/3.29 % (637314)Instructions burned: 215 (million)
% 17.05/3.29 % (637317)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=3799571537:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 17.05/3.29 % (637303)Instruction limit reached!
% 17.05/3.29 % (637303)------------------------------
% 17.05/3.29 % (637303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.05/3.29 % (637303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.05/3.29 % (637303)CaDiCaL version: 2.1.3
% 17.05/3.29 % (637303)Termination reason: Instruction limit
% 17.05/3.29 % (637303)Termination phase: Saturation
% 17.05/3.29 % (637303)Time elapsed: 0.653 s
% 17.05/3.29 % (637303)Peak memory usage: 101 MB
% 17.05/3.29 % (637303)Instructions burned: 1188 (million)
% 17.05/3.29 % (637317)Instruction limit reached!
% 17.05/3.29 % (637317)------------------------------
% 17.05/3.29 % (637317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.05/3.29 % (637317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.05/3.29 % (637317)CaDiCaL version: 2.1.3
% 17.05/3.29 % (637317)Termination reason: Instruction limit
% 17.05/3.29 % (637317)Termination phase: Saturation
% 17.05/3.29 % (637317)Time elapsed: 0.193 s
% 17.05/3.29 % (637317)Peak memory usage: 92 MB
% 17.05/3.29 % (637317)Instructions burned: 317 (million)
% 17.05/3.29 % (637319)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=287234418:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 17.05/3.29 % (637311)Instruction limit reached!
% 17.05/3.29 % (637311)------------------------------
% 17.05/3.29 % (637311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.05/3.29 % (637311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.05/3.29 % (637311)CaDiCaL version: 2.1.3
% 17.05/3.29 % (637311)Termination reason: Instruction limit
% 17.05/3.29 % (637311)Termination phase: Saturation
% 17.05/3.29 % (637311)Time elapsed: 0.728 s
% 17.05/3.29 % (637311)Peak memory usage: 141 MB
% 17.05/3.29 % (637311)Instructions burned: 2054 (million)
% 17.05/3.29 % (637320)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=353107232:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 17.05/3.29 % (637322)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=883077925:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 17.05/3.29 % (637299)First to succeed.
% 17.05/3.29 % (637299)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-637292"
% 17.05/3.29 % (637319)Also succeeded, but the first one will report.
% 17.05/3.29 % (637299)Refutation found. Thanks to Tanya!
% 17.05/3.29 % SZS status Unsatisfiable for theBenchmark
% 17.05/3.29 % SZS output start Proof for theBenchmark
% See solution above
% 17.82/3.47 % (637299)------------------------------
% 17.82/3.47 % (637299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.82/3.47 % (637299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.82/3.47 % (637299)CaDiCaL version: 2.1.3
% 17.82/3.47 % (637299)Termination reason: Refutation
% 17.82/3.47 % (637299)Time elapsed: 2.017 s
% 17.82/3.47 % (637299)Peak memory usage: 149 MB
% 17.82/3.47 % (637299)Instructions burned: 3200 (million)
% 17.82/3.47 % (637299)------------------------------
% 17.82/3.47 % (637299)------------------------------
% 17.82/3.47 % (637292)Success in time 2.436 s
% 17.82/3.47 % Vampire exiting
%------------------------------------------------------------------------------