%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL037+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 : Theorem 19.22s 4.52s
% Output : Refutation 26.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 25
% Syntax : Number of formulae : 173 ( 169 unt; 12 def)
% Number of atoms : 177 ( 176 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 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 : 176 ( 173 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
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) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( composition(X0,top) = X0
=> composition(meet(X1,converse(X0)),meet(X0,X2)) = composition(meet(X1,converse(X0)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> composition(meet(X1,converse(X0)),meet(X0,X2)) = composition(meet(X1,converse(X0)),X2) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
? [X0,X1,X2] :
( composition(meet(X1,converse(X0)),meet(X0,X2)) != composition(meet(X1,converse(X0)),X2)
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f18]) ).
fof(f20,plain,
( composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != composition(meet(sK1,converse(sK0)),sK2)
& sK0 = composition(sK0,top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != composition(meet(sK1,converse(sK0)),sK2),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f43,plain,
composition(complement(join(complement(sK1),complement(converse(sK0)))),complement(join(complement(sK0),complement(sK2)))) != composition(complement(join(complement(sK1),complement(converse(sK0)))),sK2),
inference(definition_unfolding,[],[f38,f24,f24,f24]) ).
fof(f44,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f45,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF4 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f47,plain,
converse(sK0) = sF4,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f49,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f51,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f53,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF8 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f55,plain,
complement(sK0) = sF8,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF9 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f57,plain,
complement(sK2) = sF9,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF10 = join(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f59,plain,
join(sF8,sF9) = sF10,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f61,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF12 = composition(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f63,plain,
composition(sF7,sF11) = sF12,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF13 = composition(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f65,plain,
composition(sF7,sK2) = sF13,
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
sF12 != sF13,
inference(definition_folding,[],[f43,f65,f53,f51,f49,f47,f45,f63,f61,f59,f57,f55,f53,f51,f49,f47,f45]) ).
fof(f67,definition,
sF14 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f68,plain,
composition(sK0,top) = sF14,
inference(reorient_equations,[],[f67]) ).
fof(f69,plain,
sK0 = sF14,
inference(definition_folding,[],[f37,f68]) ).
fof(f70,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f68,f69]) ).
fof(f71,plain,
sK0 = converse(sF4),
inference(superposition,[],[f28,f47]) ).
fof(f73,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
fof(f75,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f29,f28]) ).
fof(f94,plain,
complement(top) = join(composition(converse(sK0),complement(sK0)),complement(top)),
inference(superposition,[],[f31,f70]) ).
fof(f101,plain,
complement(top) = join(composition(converse(sK0),sF8),complement(top)),
inference(forward_demodulation,[],[f94,f55]) ).
fof(f103,plain,
complement(top) = join(composition(sF4,sF8),complement(top)),
inference(forward_demodulation,[],[f101,f47]) ).
fof(f107,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f121,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f140,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f141,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f142,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f23,f21]) ).
fof(f185,plain,
zero = complement(top),
inference(superposition,[],[f39,f32]) ).
fof(f330,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f22,f32]) ).
fof(f334,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f22,f23]) ).
fof(f354,plain,
! [X0] : composition(converse(X0),sK0) = converse(composition(sF4,X0)),
inference(superposition,[],[f107,f47]) ).
fof(f358,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f107,f26]) ).
fof(f371,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f358,f28]) ).
fof(f389,plain,
one = converse(one),
inference(superposition,[],[f26,f371]) ).
fof(f397,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f371,f389]) ).
fof(f415,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f397]) ).
fof(f418,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f415,f371]) ).
fof(f487,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f334,f418]) ).
fof(f495,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f487,f23]) ).
fof(f533,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f495,f39]) ).
fof(f540,plain,
! [X0,X1] : join(complement(join(complement(X0),join(complement(complement(X0)),X1))),complement(complement(X0))) = X0,
inference(superposition,[],[f142,f495]) ).
fof(f549,plain,
! [X0,X1] : join(complement(join(top,X1)),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f540,f330]) ).
fof(f620,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
inference(superposition,[],[f141,f140]) ).
fof(f633,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
inference(forward_demodulation,[],[f620,f22]) ).
fof(f641,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f633,f495]) ).
fof(f654,plain,
! [X0,X1] : join(complement(complement(join(complement(X0),X1))),complement(join(complement(X1),complement(X0)))) = join(complement(join(complement(X1),complement(X0))),complement(X0)),
inference(superposition,[],[f641,f140]) ).
fof(f698,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f533]) ).
fof(f715,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f73,f32]) ).
fof(f750,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f495,f715]) ).
fof(f784,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f330,f21]) ).
fof(f793,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(join(complement(complement(X1)),X0)))),complement(join(top,X0))) = X1,
inference(superposition,[],[f23,f330]) ).
fof(f797,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
inference(superposition,[],[f495,f330]) ).
fof(f804,plain,
! [X0,X1] : complement(join(complement(X1),complement(join(complement(complement(X1)),X0)))) = X1,
inference(forward_demodulation,[],[f793,f797]) ).
fof(f818,plain,
! [X1] : complement(complement(X1)) = X1,
inference(forward_demodulation,[],[f804,f495]) ).
fof(f831,plain,
sK0 = complement(sF8),
inference(superposition,[],[f818,f55]) ).
fof(f833,plain,
sK2 = complement(sF9),
inference(superposition,[],[f818,f57]) ).
fof(f834,plain,
sF4 = complement(sF5),
inference(superposition,[],[f818,f49]) ).
fof(f847,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f140,f818]) ).
fof(f856,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f495,f818]) ).
fof(f857,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f641,f818]) ).
fof(f871,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f856,f21]) ).
fof(f904,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(complement(join(X0,X1))),complement(X0)),
inference(superposition,[],[f641,f856]) ).
fof(f912,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(join(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f904,f818]) ).
fof(f936,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f912,f22]) ).
fof(f951,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(top,X1),
inference(forward_demodulation,[],[f936,f784]) ).
fof(f957,plain,
! [X1] : top = join(top,X1),
inference(forward_demodulation,[],[f951,f32]) ).
fof(f983,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(join(complement(X1),X0))),complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f871,f641]) ).
fof(f989,plain,
complement(sF5) = join(complement(sF5),complement(sF6)),
inference(superposition,[],[f871,f51]) ).
fof(f1026,plain,
complement(sF5) = join(complement(sF5),sF7),
inference(forward_demodulation,[],[f989,f53]) ).
fof(f1029,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(join(complement(X0),complement(X1))),complement(X1)),
inference(forward_demodulation,[],[f983,f654]) ).
fof(f1045,plain,
sF4 = join(sF4,sF7),
inference(forward_demodulation,[],[f1026,f834]) ).
fof(f1048,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(X0),complement(X1))),complement(X1)),
inference(forward_demodulation,[],[f1029,f818]) ).
fof(f1091,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f847,f818]) ).
fof(f1152,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(join(complement(X1),complement(X0))),complement(X0)),
inference(superposition,[],[f334,f847]) ).
fof(f1186,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1152,f1048]) ).
fof(f1307,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f857,f715]) ).
fof(f1328,plain,
join(complement(sF9),sF8) = join(sF8,complement(sF10)),
inference(superposition,[],[f857,f59]) ).
fof(f1372,plain,
join(complement(sF9),sF8) = join(sF8,sF11),
inference(forward_demodulation,[],[f1328,f61]) ).
fof(f1383,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f1307,f750]) ).
fof(f1391,plain,
join(sF8,sF11) = join(sK2,sF8),
inference(forward_demodulation,[],[f1372,f833]) ).
fof(f2503,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f121,f30]) ).
fof(f2529,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f2503,f29]) ).
fof(f2546,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f2529,f29]) ).
fof(f2555,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f2546,f30]) ).
fof(f2579,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f2555]) ).
fof(f2599,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f2579,f28]) ).
fof(f2645,plain,
! [X0] : composition(sF7,join(sK2,X0)) = join(sF13,composition(sF7,X0)),
inference(superposition,[],[f2599,f65]) ).
fof(f2654,plain,
! [X0] : composition(sF7,join(X0,sF11)) = join(composition(sF7,X0),sF12),
inference(superposition,[],[f2599,f63]) ).
fof(f2790,plain,
join(sF13,composition(sF7,sF8)) = composition(sF7,join(sF8,sF11)),
inference(superposition,[],[f2645,f1391]) ).
fof(f2810,plain,
join(sF13,composition(sF7,sF8)) = join(composition(sF7,sF8),sF12),
inference(forward_demodulation,[],[f2790,f2654]) ).
fof(f2926,plain,
top = converse(top),
inference(superposition,[],[f715,f957]) ).
fof(f5766,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f75,f698]) ).
fof(f5790,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f5766,f28]) ).
fof(f6704,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(superposition,[],[f23,f1383]) ).
fof(f6745,plain,
! [X0] : converse(converse(X0)) = join(converse(complement(converse(complement(converse(converse(X0)))))),X0),
inference(superposition,[],[f75,f1383]) ).
fof(f6748,plain,
! [X0] : join(converse(complement(converse(complement(X0)))),X0) = X0,
inference(forward_demodulation,[],[f6745,f28]) ).
fof(f6770,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f6704,f818]) ).
fof(f6793,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(converse(complement(converse(complement(X0)))))),X0),
inference(forward_demodulation,[],[f6770,f1186]) ).
fof(f6805,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[],[f6793,f818]) ).
fof(f6811,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f6805,f6748]) ).
fof(f6823,plain,
sF5 = converse(complement(converse(sF4))),
inference(superposition,[],[f6811,f834]) ).
fof(f6826,plain,
sF8 = converse(complement(converse(sK0))),
inference(superposition,[],[f6811,f831]) ).
fof(f6831,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f28,f6811]) ).
fof(f6851,plain,
sF8 = converse(complement(sF4)),
inference(forward_demodulation,[],[f6826,f47]) ).
fof(f6852,plain,
sF5 = converse(complement(sK0)),
inference(forward_demodulation,[],[f6823,f71]) ).
fof(f6856,plain,
sF8 = converse(sF5),
inference(forward_demodulation,[],[f6851,f49]) ).
fof(f6857,plain,
sF5 = converse(sF8),
inference(forward_demodulation,[],[f6852,f55]) ).
fof(f11107,plain,
zero = join(composition(sF4,sF8),zero),
inference(superposition,[],[f103,f185]) ).
fof(f11116,plain,
complement(composition(sF4,sF8)) = join(complement(join(top,composition(sF4,sF8))),complement(complement(top))),
inference(superposition,[],[f1091,f103]) ).
fof(f11154,plain,
top = complement(composition(sF4,sF8)),
inference(forward_demodulation,[],[f11116,f549]) ).
fof(f11162,plain,
zero = composition(sF4,sF8),
inference(forward_demodulation,[],[f11107,f533]) ).
fof(f11242,plain,
complement(converse(top)) = converse(composition(sF4,sF8)),
inference(superposition,[],[f6831,f11154]) ).
fof(f11245,plain,
complement(converse(top)) = composition(converse(sF8),sK0),
inference(forward_demodulation,[],[f11242,f354]) ).
fof(f11282,plain,
complement(converse(top)) = composition(sF5,sK0),
inference(forward_demodulation,[],[f11245,f6857]) ).
fof(f11314,plain,
complement(top) = composition(sF5,sK0),
inference(forward_demodulation,[],[f11282,f2926]) ).
fof(f11326,plain,
zero = composition(sF5,sK0),
inference(forward_demodulation,[],[f11314,f185]) ).
fof(f11483,plain,
! [X0] : composition(join(converse(sK0),X0),converse(sF5)) = join(converse(zero),composition(X0,converse(sF5))),
inference(superposition,[],[f121,f11326]) ).
fof(f11492,plain,
! [X0] : composition(join(converse(sK0),X0),converse(sF5)) = composition(X0,converse(sF5)),
inference(forward_demodulation,[],[f11483,f5790]) ).
fof(f11500,plain,
! [X0] : composition(X0,sF8) = composition(join(converse(sK0),X0),sF8),
inference(forward_demodulation,[],[f11492,f6856]) ).
fof(f11506,plain,
! [X0] : composition(X0,sF8) = composition(join(sF4,X0),sF8),
inference(forward_demodulation,[],[f11500,f47]) ).
fof(f11516,plain,
composition(sF4,sF8) = composition(sF7,sF8),
inference(superposition,[],[f11506,f1045]) ).
fof(f11565,plain,
zero = composition(sF7,sF8),
inference(forward_demodulation,[],[f11516,f11162]) ).
fof(f12123,plain,
! [X0] : composition(sF7,join(sF8,X0)) = join(zero,composition(sF7,X0)),
inference(superposition,[],[f2599,f11565]) ).
fof(f12126,plain,
! [X0] : composition(sF7,X0) = composition(sF7,join(sF8,X0)),
inference(forward_demodulation,[],[f12123,f698]) ).
fof(f19481,plain,
composition(sF7,sF11) = join(composition(sF7,sF8),sF12),
inference(superposition,[],[f12126,f2654]) ).
fof(f19509,plain,
composition(sF7,sF11) = join(sF13,composition(sF7,sF8)),
inference(forward_demodulation,[],[f19481,f2810]) ).
fof(f19534,plain,
composition(sF7,sF11) = join(sF13,zero),
inference(forward_demodulation,[],[f19509,f11565]) ).
fof(f19547,plain,
composition(sF7,sF11) = sF13,
inference(forward_demodulation,[],[f19534,f533]) ).
fof(f19555,plain,
sF12 = sF13,
inference(forward_demodulation,[],[f19547,f63]) ).
fof(f19557,plain,
$false,
inference(forward_subsumption_resolution,[],[f19555,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL037+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:56:00 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 23.85/4.29 % (2498116)Detected formulas, will run a generic FOF schedule.
% 23.85/4.29 % (2498167)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=118501321:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 23.85/4.29 % (2498171)dis-21_1_sil=8000:lcm=predicate:random_seed=3169392901:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 23.85/4.29 % (2498171)Refutation not found, incomplete strategy
% 23.85/4.29 % (2498171)------------------------------
% 23.85/4.29 % (2498171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.85/4.29 % (2498171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/4.29 % (2498171)CaDiCaL version: 2.1.3
% 23.85/4.29 % (2498171)Termination reason: Refutation not found, incomplete strategy
% 23.85/4.29 % (2498171)Time elapsed: 0.003 s
% 23.85/4.29 % (2498171)Peak memory usage: 88 MB
% 23.85/4.29 % (2498171)Instructions burned: 1 (million)
% 23.85/4.29 % (2498165)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2823331951:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 23.85/4.29 % (2498168)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3979330340:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 23.85/4.29 % (2498169)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3344520467:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 23.85/4.29 % (2498166)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1709840183:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 23.85/4.29 % (2498170)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1898040471:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 23.85/4.29 % (2498168)Instruction limit reached!
% 23.85/4.29 % (2498168)------------------------------
% 23.85/4.29 % (2498168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.85/4.29 % (2498168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/4.29 % (2498168)CaDiCaL version: 2.1.3
% 23.85/4.29 % (2498168)Termination reason: Instruction limit
% 23.85/4.29 % (2498168)Termination phase: Saturation
% 23.85/4.29 % (2498168)Time elapsed: 0.102 s
% 23.85/4.29 % (2498168)Peak memory usage: 89 MB
% 23.85/4.29 % (2498168)Instructions burned: 109 (million)
% 23.85/4.29 % (2498169)Instruction limit reached!
% 23.85/4.29 % (2498169)------------------------------
% 23.85/4.29 % (2498169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.85/4.29 % (2498169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/4.29 % (2498169)CaDiCaL version: 2.1.3
% 23.85/4.29 % (2498169)Termination reason: Instruction limit
% 23.85/4.29 % (2498169)Termination phase: Saturation
% 23.85/4.29 % (2498169)Time elapsed: 0.115 s
% 23.85/4.29 % (2498169)Peak memory usage: 88 MB
% 23.85/4.29 % (2498169)Instructions burned: 120 (million)
% 23.85/4.29 % (2498170)Instruction limit reached!
% 23.85/4.29 % (2498170)------------------------------
% 23.85/4.29 % (2498170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.85/4.29 % (2498170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.85/4.29 % (2498170)CaDiCaL version: 2.1.3
% 23.85/4.29 % (2498170)Termination reason: Instruction limit
% 23.85/4.29 % (2498170)Termination phase: Saturation
% 23.85/4.29 % (2498170)Time elapsed: 0.107 s
% 23.85/4.29 % (2498170)Peak memory usage: 90 MB
% 23.85/4.29 % (2498170)Instructions burned: 139 (million)
% 23.85/4.29 % (2498171)------------------------------
% 23.85/4.29 % (2498171)------------------------------
% 23.85/4.29 % (2498184)lrs+10_1_sil=8000:sp=occurrence:random_seed=701338828:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 23.85/4.29 % (2498185)lrs+10_1_sil=32000:urr=on:br=off:random_seed=418895318:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 23.85/4.29 % (2498186)lrs+1011_1_sil=32000:sp=occurrence:random_seed=867195347:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 23.85/4.29 % (2498185)Instruction limit reached!
% 23.85/4.29 % (2498185)------------------------------
% 23.85/4.29 % (2498185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498185)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498185)Termination reason: Instruction limit
% 19.22/4.52 % (2498185)Termination phase: Saturation
% 19.22/4.52 % (2498185)Time elapsed: 0.154 s
% 19.22/4.52 % (2498185)Peak memory usage: 91 MB
% 19.22/4.52 % (2498185)Instructions burned: 157 (million)
% 19.22/4.52 % (2498184)Instruction limit reached!
% 19.22/4.52 % (2498184)------------------------------
% 19.22/4.52 % (2498184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498184)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498184)Termination reason: Instruction limit
% 19.22/4.52 % (2498184)Termination phase: Saturation
% 19.22/4.52 % (2498184)Time elapsed: 0.287 s
% 19.22/4.52 % (2498184)Peak memory usage: 91 MB
% 19.22/4.52 % (2498184)Instructions burned: 285 (million)
% 19.22/4.52 % (2498191)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3180210560:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 19.22/4.52 % (2498186)Instruction limit reached!
% 19.22/4.52 % (2498186)------------------------------
% 19.22/4.52 % (2498186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498186)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498186)Termination reason: Instruction limit
% 19.22/4.52 % (2498186)Termination phase: Saturation
% 19.22/4.52 % (2498186)Time elapsed: 0.301 s
% 19.22/4.52 % (2498186)Peak memory usage: 92 MB
% 19.22/4.52 % (2498186)Instructions burned: 327 (million)
% 19.22/4.52 % (2498197)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=999951397:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 19.22/4.52 % (2498199)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3822891473:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 19.22/4.52 % (2498191)Instruction limit reached!
% 19.22/4.52 % (2498191)------------------------------
% 19.22/4.52 % (2498191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498191)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498191)Termination reason: Instruction limit
% 19.22/4.52 % (2498191)Termination phase: Saturation
% 19.22/4.52 % (2498191)Time elapsed: 0.260 s
% 19.22/4.52 % (2498191)Peak memory usage: 92 MB
% 19.22/4.52 % (2498191)Instructions burned: 248 (million)
% 19.22/4.52 % (2498201)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1524024623:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 19.22/4.52 % (2498201)Instruction limit reached!
% 19.22/4.52 % (2498201)------------------------------
% 19.22/4.52 % (2498201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498201)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498201)Termination reason: Instruction limit
% 19.22/4.52 % (2498201)Termination phase: Saturation
% 19.22/4.52 % (2498201)Time elapsed: 0.111 s
% 19.22/4.52 % (2498201)Peak memory usage: 90 MB
% 19.22/4.52 % (2498201)Instructions burned: 114 (million)
% 19.22/4.52 % (2498197)Instruction limit reached!
% 19.22/4.52 % (2498197)------------------------------
% 19.22/4.52 % (2498197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498197)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498197)Termination reason: Instruction limit
% 19.22/4.52 % (2498197)Termination phase: Saturation
% 19.22/4.52 % (2498197)Time elapsed: 0.289 s
% 19.22/4.52 % (2498197)Peak memory usage: 92 MB
% 19.22/4.52 % (2498197)Instructions burned: 295 (million)
% 19.22/4.52 % (2498206)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=19506548:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 19.22/4.52 % (2498206)Refutation not found, incomplete strategy
% 19.22/4.52 % (2498206)------------------------------
% 19.22/4.52 % (2498206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498206)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498206)Termination reason: Refutation not found, incomplete strategy
% 19.22/4.52 % (2498206)Time elapsed: 0.002 s
% 19.22/4.52 % (2498206)Peak memory usage: 87 MB
% 19.22/4.52 % (2498206)Instructions burned: 1 (million)
% 19.22/4.52 % (2498211)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1633064632:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 19.22/4.52 % (2498212)lrs+10_1_sil=8000:sp=occurrence:random_seed=1444353244:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 19.22/4.52 % (2498211)Instruction limit reached!
% 19.22/4.52 % (2498211)------------------------------
% 19.22/4.52 % (2498211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498211)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498211)Termination reason: Instruction limit
% 19.22/4.52 % (2498211)Termination phase: Saturation
% 19.22/4.52 % (2498211)Time elapsed: 0.105 s
% 19.22/4.52 % (2498211)Peak memory usage: 89 MB
% 19.22/4.52 % (2498211)Instructions burned: 114 (million)
% 19.22/4.52 % (2498206)------------------------------
% 19.22/4.52 % (2498206)------------------------------
% 19.22/4.52 % (2498216)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=636050175:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 19.22/4.52 % (2498218)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4186258057:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 19.22/4.52 % (2498216)Instruction limit reached!
% 19.22/4.52 % (2498216)------------------------------
% 19.22/4.52 % (2498216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498216)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498216)Termination reason: Instruction limit
% 19.22/4.52 % (2498216)Termination phase: Saturation
% 19.22/4.52 % (2498216)Time elapsed: 0.371 s
% 19.22/4.52 % (2498216)Peak memory usage: 92 MB
% 19.22/4.52 % (2498216)Instructions burned: 438 (million)
% 19.22/4.52 % (2498212)Instruction limit reached!
% 19.22/4.52 % (2498212)------------------------------
% 19.22/4.52 % (2498212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498212)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498212)Termination reason: Instruction limit
% 19.22/4.52 % (2498212)Termination phase: Saturation
% 19.22/4.52 % (2498212)Time elapsed: 0.883 s
% 19.22/4.52 % (2498212)Peak memory usage: 97 MB
% 19.22/4.52 % (2498212)Instructions burned: 908 (million)
% 19.22/4.52 % (2498222)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1151957421:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 19.22/4.52 % (2498222)Refutation not found, incomplete strategy
% 19.22/4.52 % (2498222)------------------------------
% 19.22/4.52 % (2498222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498222)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498222)Termination reason: Refutation not found, incomplete strategy
% 19.22/4.52 % (2498222)Time elapsed: 0.004 s
% 19.22/4.52 % (2498222)Peak memory usage: 89 MB
% 19.22/4.52 % (2498222)Instructions burned: 2 (million)
% 19.22/4.52 % (2498223)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3911554608:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 19.22/4.52 % (2498222)------------------------------
% 19.22/4.52 % (2498222)------------------------------
% 19.22/4.52 % (2498165)First to succeed.
% 19.22/4.52 % (2498165)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2498116"
% 19.22/4.52 % (2498223)Instruction limit reached!
% 19.22/4.52 % (2498223)------------------------------
% 19.22/4.52 % (2498223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498223)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498223)Termination reason: Instruction limit
% 19.22/4.52 % (2498223)Termination phase: Saturation
% 19.22/4.52 % (2498223)Time elapsed: 0.481 s
% 19.22/4.52 % (2498223)Peak memory usage: 90 MB
% 19.22/4.52 % (2498223)Instructions burned: 592 (million)
% 19.22/4.52 % (2498226)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3779170852:st=3:i=13193:sd=3:ss=axioms_2969 on theBenchmark for (2969ds/13193Mi)
% 19.22/4.52 % (2498199)Instruction limit reached!
% 19.22/4.52 % (2498199)------------------------------
% 19.22/4.52 % (2498199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/4.52 % (2498199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/4.52 % (2498199)CaDiCaL version: 2.1.3
% 19.22/4.52 % (2498199)Termination reason: Instruction limit
% 19.22/4.52 % (2498199)Termination phase: Saturation
% 19.22/4.52 % (2498199)Time elapsed: 2.456 s
% 19.22/4.52 % (2498199)Peak memory usage: 141 MB
% 19.22/4.52 % (2498199)Instructions burned: 2351 (million)
% 19.22/4.52 % (2498165)Refutation found. Thanks to Tanya!
% 19.22/4.52 % SZS status Theorem for theBenchmark
% 19.22/4.52 % SZS output start Proof for theBenchmark
% See solution above
% 26.15/4.83 % (2498165)------------------------------
% 26.15/4.83 % (2498165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.83 % (2498165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.83 % (2498165)CaDiCaL version: 2.1.3
% 26.15/4.83 % (2498165)Termination reason: Refutation
% 26.15/4.83 % (2498165)Time elapsed: 2.902 s
% 26.15/4.83 % (2498165)Peak memory usage: 145 MB
% 26.15/4.83 % (2498165)Instructions burned: 2749 (million)
% 26.15/4.83 % (2498165)------------------------------
% 26.15/4.83 % (2498165)------------------------------
% 26.15/4.83 % (2498116)Success in time 3.593 s
% 26.15/4.83 % Vampire exiting
%------------------------------------------------------------------------------