%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL031-1 : 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 : n016.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 12:33:57 PM UTC 2026
% Result : Unsatisfiable 8.47s 2.42s
% Output : Refutation 10.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 26
% Syntax : Number of formulae : 141 ( 141 unt; 10 def)
% Number of atoms : 141 ( 140 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 : 7 ( 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 : 129 ( 129 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,negated_conjecture,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,negated_conjecture,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(composition(converse(sk1),sk1),one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
join(composition(converse(sk2),sk2),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
one = join(composition(converse(sk2),sk2),one),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_16) ).
fof(f22,plain,
one != join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one),
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f24,definition,
sF0 = converse(sk1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f25,plain,
converse(sk1) = sF0,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF1 = composition(sF0,sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f27,plain,
composition(sF0,sk1) = sF1,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF2 = join(sF1,one),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f29,plain,
join(sF1,one) = sF2,
inference(reorient_equations,[],[f28]) ).
fof(f30,plain,
one = sF2,
inference(definition_folding,[],[f18,f29,f27,f25]) ).
fof(f31,definition,
sF3 = converse(sk2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f32,plain,
converse(sk2) = sF3,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF4 = composition(sF3,sk2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f34,plain,
composition(sF3,sk2) = sF4,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF5 = join(sF4,one),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f36,plain,
join(sF4,one) = sF5,
inference(reorient_equations,[],[f35]) ).
fof(f37,plain,
one = sF5,
inference(definition_folding,[],[f20,f36,f34,f32]) ).
fof(f38,definition,
sF6 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f39,plain,
composition(sk1,sk2) = sF6,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF7 = converse(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f41,plain,
converse(sF6) = sF7,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF8 = composition(sF7,sF6),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f43,plain,
composition(sF7,sF6) = sF8,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF9 = join(sF8,one),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f45,plain,
join(sF8,one) = sF9,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
one != sF9,
inference(definition_folding,[],[f22,f45,f43,f39,f41,f39]) ).
fof(f47,plain,
zero = complement(top),
inference(backward_demodulation,[],[f23,f15]) ).
fof(f48,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f49,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f50,plain,
one = join(sF1,one),
inference(forward_demodulation,[],[f29,f30]) ).
fof(f51,plain,
one = join(sF4,one),
inference(forward_demodulation,[],[f36,f37]) ).
fof(f57,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f49,f15]) ).
fof(f58,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f49,f15]) ).
fof(f59,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f58,f47]) ).
fof(f60,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f57,f1]) ).
fof(f61,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f60,f47]) ).
fof(f67,plain,
! [X0] : converse(join(sF6,X0)) = join(sF7,converse(X0)),
inference(superposition,[],[f11,f41]) ).
fof(f78,plain,
! [X0] : composition(join(sF3,X0),sk2) = join(sF4,composition(X0,sk2)),
inference(superposition,[],[f9,f34]) ).
fof(f87,plain,
! [X0] : converse(composition(sk1,X0)) = composition(converse(X0),sF0),
inference(superposition,[],[f12,f25]) ).
fof(f90,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(f100,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f49,f1]) ).
fof(f106,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f108,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f148,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(superposition,[],[f49,f47]) ).
fof(f150,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f148,f1]) ).
fof(f151,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f150,f1]) ).
fof(f152,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f151,f1]) ).
fof(f153,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f152,f1]) ).
fof(f156,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f163,plain,
! [X0] : join(one,X0) = join(sF4,join(one,X0)),
inference(superposition,[],[f2,f51]) ).
fof(f170,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f174,plain,
! [X0] : composition(join(converse(sk2),X0),converse(sk1)) = join(converse(sF6),composition(X0,converse(sk1))),
inference(superposition,[],[f90,f39]) ).
fof(f183,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f90,f12]) ).
fof(f191,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f183,f11]) ).
fof(f200,plain,
! [X0] : composition(join(converse(sk2),X0),sF0) = join(converse(sF6),composition(X0,sF0)),
inference(forward_demodulation,[],[f174,f25]) ).
fof(f203,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f191,f11]) ).
fof(f207,plain,
! [X0] : composition(join(converse(sk2),X0),sF0) = join(sF7,composition(X0,sF0)),
inference(forward_demodulation,[],[f200,f41]) ).
fof(f210,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f203,f12]) ).
fof(f214,plain,
! [X0] : join(sF7,composition(X0,sF0)) = composition(join(sF3,X0),sF0),
inference(forward_demodulation,[],[f207,f32]) ).
fof(f226,plain,
! [X0] : composition(sF0,composition(sk1,X0)) = composition(sF1,X0),
inference(superposition,[],[f7,f27]) ).
fof(f245,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f106,f8]) ).
fof(f260,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f245,f10]) ).
fof(f272,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f48,f260]) ).
fof(f280,plain,
one = converse(one),
inference(superposition,[],[f8,f260]) ).
fof(f281,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f260,f280]) ).
fof(f289,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f272,f281]) ).
fof(f294,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(backward_demodulation,[],[f61,f289]) ).
fof(f558,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f156,f15]) ).
fof(f601,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f558,f170]) ).
fof(f763,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f100,f15]) ).
fof(f775,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f763,f1]) ).
fof(f788,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f775,f1]) ).
fof(f796,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f788,f47]) ).
fof(f802,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f59,f796]) ).
fof(f807,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f796,f802]) ).
fof(f811,plain,
! [X0] : join(zero,X0) = X0,
inference(backward_demodulation,[],[f294,f802]) ).
fof(f816,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(complement(X0))) = X0,
inference(backward_demodulation,[],[f153,f811]) ).
fof(f820,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(forward_demodulation,[],[f807,f811]) ).
fof(f824,plain,
! [X0] : join(complement(complement(X0)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f816,f1]) ).
fof(f828,plain,
! [X0] : join(X0,complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f824,f802]) ).
fof(f839,plain,
! [X0] : top = join(join(X0,X0),complement(X0)),
inference(superposition,[],[f15,f820]) ).
fof(f850,plain,
! [X0] : top = join(complement(X0),join(X0,X0)),
inference(forward_demodulation,[],[f839,f1]) ).
fof(f861,plain,
! [X0] : top = join(X0,join(complement(X0),X0)),
inference(forward_demodulation,[],[f850,f170]) ).
fof(f869,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(forward_demodulation,[],[f861,f170]) ).
fof(f874,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f869,f601]) ).
fof(f881,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(backward_demodulation,[],[f828,f874]) ).
fof(f885,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f881,f47]) ).
fof(f910,plain,
join(sF7,composition(zero,sF0)) = composition(sF3,sF0),
inference(superposition,[],[f214,f885]) ).
fof(f939,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f108,f811]) ).
fof(f940,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f939,f10]) ).
fof(f1208,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f210]) ).
fof(f1227,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f1208,f10]) ).
fof(f1312,plain,
! [X0,X1] : composition(X0,join(X1,one)) = join(composition(X0,X1),X0),
inference(superposition,[],[f1227,f8]) ).
fof(f1321,plain,
! [X0] : composition(sk1,join(X0,sk2)) = join(composition(sk1,X0),sF6),
inference(superposition,[],[f1227,f39]) ).
fof(f1347,plain,
! [X0] : join(sF6,composition(sk1,X0)) = composition(sk1,join(X0,sk2)),
inference(forward_demodulation,[],[f1321,f1]) ).
fof(f1354,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,one)),
inference(forward_demodulation,[],[f1312,f1]) ).
fof(f1392,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,sF1)),
inference(superposition,[],[f1354,f50]) ).
fof(f1429,plain,
! [X0] : join(X0,composition(X0,sF1)) = X0,
inference(forward_demodulation,[],[f1392,f8]) ).
fof(f1492,plain,
composition(sF3,sk2) = join(sF4,composition(composition(sF3,sF1),sk2)),
inference(superposition,[],[f78,f1429]) ).
fof(f1497,plain,
composition(sF3,sk2) = join(sF4,composition(sF3,composition(sF1,sk2))),
inference(forward_demodulation,[],[f1492,f7]) ).
fof(f1518,plain,
sF4 = join(sF4,composition(sF3,composition(sF1,sk2))),
inference(forward_demodulation,[],[f1497,f34]) ).
fof(f2781,plain,
zero = converse(zero),
inference(superposition,[],[f885,f940]) ).
fof(f2863,plain,
composition(sk1,sk2) = join(sF6,composition(sk1,zero)),
inference(superposition,[],[f1347,f811]) ).
fof(f2883,plain,
sF6 = join(sF6,composition(sk1,zero)),
inference(forward_demodulation,[],[f2863,f39]) ).
fof(f2899,plain,
converse(sF6) = join(sF7,converse(composition(sk1,zero))),
inference(superposition,[],[f67,f2883]) ).
fof(f2915,plain,
converse(sF6) = join(sF7,composition(converse(zero),sF0)),
inference(forward_demodulation,[],[f2899,f87]) ).
fof(f2917,plain,
converse(sF6) = join(sF7,composition(zero,sF0)),
inference(forward_demodulation,[],[f2915,f2781]) ).
fof(f2918,plain,
sF7 = join(sF7,composition(zero,sF0)),
inference(forward_demodulation,[],[f2917,f41]) ).
fof(f2919,plain,
sF7 = composition(sF3,sF0),
inference(backward_demodulation,[],[f910,f2918]) ).
fof(f2926,plain,
! [X0] : composition(sF7,X0) = composition(sF3,composition(sF0,X0)),
inference(superposition,[],[f7,f2919]) ).
fof(f3417,plain,
composition(sF1,sk2) = composition(sF0,sF6),
inference(superposition,[],[f226,f39]) ).
fof(f3441,plain,
sF4 = join(sF4,composition(sF3,composition(sF0,sF6))),
inference(backward_demodulation,[],[f1518,f3417]) ).
fof(f3448,plain,
sF4 = join(sF4,composition(sF7,sF6)),
inference(forward_demodulation,[],[f3441,f2926]) ).
fof(f3450,plain,
sF4 = join(sF4,sF8),
inference(forward_demodulation,[],[f3448,f43]) ).
fof(f3452,plain,
! [X0] : join(sF4,X0) = join(sF8,join(sF4,X0)),
inference(superposition,[],[f156,f3450]) ).
fof(f3466,plain,
! [X0] : join(sF4,X0) = join(sF4,join(X0,sF8)),
inference(forward_demodulation,[],[f3452,f170]) ).
fof(f6472,plain,
join(sF4,one) = join(one,sF8),
inference(superposition,[],[f163,f3466]) ).
fof(f6507,plain,
join(sF4,one) = join(sF8,one),
inference(forward_demodulation,[],[f6472,f1]) ).
fof(f6525,plain,
join(sF4,one) = sF9,
inference(forward_demodulation,[],[f6507,f45]) ).
fof(f6534,plain,
one = sF9,
inference(forward_demodulation,[],[f6525,f51]) ).
fof(f6536,plain,
$false,
inference(forward_subsumption_resolution,[],[f6534,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL031-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:59:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 8.47/2.42 % (3085590)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.47/2.42 % (3085625)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3451529399:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.47/2.42 % (3085626)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2942737197:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.47/2.42 % (3085622)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=1178987449:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.47/2.42 % (3085626)Instruction limit reached!
% 8.47/2.42 % (3085626)------------------------------
% 8.47/2.42 % (3085626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.42 % (3085626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.42 % (3085626)CaDiCaL version: 2.1.3
% 8.47/2.42 % (3085626)Termination reason: Instruction limit
% 8.47/2.42 % (3085626)Termination phase: Saturation
% 8.47/2.42 % (3085626)Time elapsed: 0.096 s
% 8.47/2.42 % (3085626)Peak memory usage: 89 MB
% 8.47/2.42 % (3085626)Instructions burned: 137 (million)
% 8.47/2.42 % (3085624)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=3428432912:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.47/2.42 % (3085628)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3750939513:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.47/2.42 % (3085629)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3336386326:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.47/2.42 % (3085627)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1289538561:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.47/2.42 % (3085634)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3063900523:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 8.47/2.42 % (3085627)Instruction limit reached!
% 8.47/2.42 % (3085627)------------------------------
% 8.47/2.42 % (3085627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.42 % (3085627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.42 % (3085627)CaDiCaL version: 2.1.3
% 8.47/2.42 % (3085627)Termination reason: Instruction limit
% 8.47/2.42 % (3085627)Termination phase: Saturation
% 8.47/2.42 % (3085627)Time elapsed: 0.183 s
% 8.47/2.42 % (3085627)Peak memory usage: 89 MB
% 8.47/2.42 % (3085627)Instructions burned: 181 (million)
% 8.47/2.42 % (3085628)Instruction limit reached!
% 8.47/2.42 % (3085628)------------------------------
% 8.47/2.42 % (3085628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.42 % (3085628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.42 % (3085628)CaDiCaL version: 2.1.3
% 8.47/2.42 % (3085628)Termination reason: Instruction limit
% 8.47/2.42 % (3085628)Termination phase: Saturation
% 8.47/2.42 % (3085628)Time elapsed: 0.260 s
% 8.47/2.42 % (3085628)Peak memory usage: 90 MB
% 8.47/2.42 % (3085628)Instructions burned: 257 (million)
% 8.47/2.42 % (3085643)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=882728610:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 8.47/2.42 % (3085647)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3099632038:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 8.47/2.42 % (3085647)Instruction limit reached!
% 8.47/2.42 % (3085647)------------------------------
% 8.47/2.42 % (3085647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.42 % (3085647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.42 % (3085647)CaDiCaL version: 2.1.3
% 8.47/2.42 % (3085647)Termination reason: Instruction limit
% 8.47/2.42 % (3085647)Termination phase: Saturation
% 8.47/2.42 % (3085647)Time elapsed: 0.195 s
% 8.47/2.42 % (3085647)Peak memory usage: 92 MB
% 8.47/2.42 % (3085647)Instructions burned: 216 (million)
% 8.47/2.42 % (3085625)First to succeed.
% 8.47/2.42 % (3085625)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3085590"
% 8.47/2.42 % (3085650)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=278292573: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)
% 8.47/2.42 % (3085625)Refutation found. Thanks to Tanya!
% 8.47/2.42 % SZS status Unsatisfiable for theBenchmark
% 8.47/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 10.41/2.56 % (3085625)------------------------------
% 10.41/2.56 % (3085625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.41/2.56 % (3085625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.41/2.56 % (3085625)CaDiCaL version: 2.1.3
% 10.41/2.56 % (3085625)Termination reason: Refutation
% 10.41/2.56 % (3085625)Time elapsed: 0.974 s
% 10.41/2.56 % (3085625)Peak memory usage: 136 MB
% 10.41/2.56 % (3085625)Instructions burned: 1725 (million)
% 10.41/2.56 % (3085625)------------------------------
% 10.41/2.56 % (3085625)------------------------------
% 10.41/2.56 % (3085590)Success in time 1.372 s
% 10.41/2.56 % Vampire exiting
%------------------------------------------------------------------------------