%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL016+2 : 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 : n026.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 12:33:44 PM UTC 2026
% Result : Theorem 9.38s 2.16s
% Output : Refutation 9.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 33
% Syntax : Number of formulae : 172 ( 154 unt; 20 def)
% Number of atoms : 192 ( 169 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 16 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 24 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 133 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(meet(composition(X0,X1),complement(composition(X0,X2))),meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2)))) = meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2)))
& join(meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2))),meet(composition(X0,X1),complement(composition(X0,X2)))) = meet(composition(X0,X1),complement(composition(X0,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(meet(composition(X0,X1),complement(composition(X0,X2))),meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2)))) = meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2)))
& join(meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2))),meet(composition(X0,X1),complement(composition(X0,X2)))) = meet(composition(X0,X1),complement(composition(X0,X2))) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2))) != join(meet(composition(X0,X1),complement(composition(X0,X2))),meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2))))
| meet(composition(X0,X1),complement(composition(X0,X2))) != join(meet(composition(X0,meet(X1,complement(X2))),complement(composition(X0,X2))),meet(composition(X0,X1),complement(composition(X0,X2)))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( meet(composition(sK0,meet(sK1,complement(sK2))),complement(composition(sK0,sK2))) != join(meet(composition(sK0,sK1),complement(composition(sK0,sK2))),meet(composition(sK0,meet(sK1,complement(sK2))),complement(composition(sK0,sK2))))
| meet(composition(sK0,sK1),complement(composition(sK0,sK2))) != join(meet(composition(sK0,meet(sK1,complement(sK2))),complement(composition(sK0,sK2))),meet(composition(sK0,sK1),complement(composition(sK0,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
( meet(composition(sK0,meet(sK1,complement(sK2))),complement(composition(sK0,sK2))) != join(meet(composition(sK0,sK1),complement(composition(sK0,sK2))),meet(composition(sK0,meet(sK1,complement(sK2))),complement(composition(sK0,sK2))))
| meet(composition(sK0,sK1),complement(composition(sK0,sK2))) != join(meet(composition(sK0,meet(sK1,complement(sK2))),complement(composition(sK0,sK2))),meet(composition(sK0,sK1),complement(composition(sK0,sK2)))) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f33,plain,
( complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))),complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),complement(complement(composition(sK0,sK2))))))
| complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2))))) != join(complement(join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),complement(complement(composition(sK0,sK2))))),complement(join(complement(composition(sK0,sK1)),complement(complement(composition(sK0,sK2)))))) ),
inference(definition_unfolding,[],[f31,f21,f21,f21,f21,f21,f21,f21,f21,f21]) ).
fof(f34,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
complement(sK2) = sF4,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f43,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF8 = composition(sK0,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
composition(sK0,sF7) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = composition(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
composition(sK0,sK2) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = complement(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
complement(sF11) = sF12,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF13 = join(sF9,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
join(sF9,sF12) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = complement(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
complement(sF13) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF15 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
composition(sK0,sK1) = sF15,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF16 = complement(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f61,plain,
complement(sF15) = sF16,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF17 = join(sF16,sF12),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f63,plain,
join(sF16,sF12) = sF17,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF18 = complement(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f65,plain,
complement(sF17) = sF18,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF19 = join(sF18,sF14),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f67,plain,
join(sF18,sF14) = sF19,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF20 = join(sF14,sF18),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f69,plain,
join(sF14,sF18) = sF20,
inference(reorient_equations,[],[f68]) ).
fof(f70,plain,
( sF14 != sF19
| sF18 != sF20 ),
inference(definition_folding,[],[f33,f69,f65,f63,f53,f51,f49,f61,f59,f57,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35,f65,f63,f53,f51,f49,f61,f59,f67,f57,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35,f65,f63,f53,f51,f49,f61,f59,f57,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35]) ).
fof(f72,definition,
( spl21_1
<=> sF18 = sF20 ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f74,plain,
( sF18 != sF20
| spl21_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,definition,
( spl21_2
<=> sF14 = sF19 ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f77,plain,
( sF14 = sF19
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f70,f76,f72]) ).
fof(f105,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f109,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f24,f27]) ).
fof(f158,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f159,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f160,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f20,f18]) ).
fof(f165,plain,
sF17 = join(sF12,sF16),
inference(superposition,[],[f63,f18]) ).
fof(f166,plain,
sF19 = join(sF14,sF18),
inference(superposition,[],[f67,f18]) ).
fof(f167,plain,
sF19 = sF20,
inference(forward_demodulation,[],[f166,f69]) ).
fof(f179,plain,
( sF18 != sF19
| spl21_1 ),
inference(superposition,[],[f74,f167]) ).
fof(f190,plain,
zero = complement(join(sF18,complement(sF18))),
inference(superposition,[],[f32,f65]) ).
fof(f199,plain,
zero = complement(top),
inference(forward_demodulation,[],[f190,f29]) ).
fof(f213,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f19,f20]) ).
fof(f260,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f105,f23]) ).
fof(f270,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f260,f25]) ).
fof(f284,plain,
one = converse(one),
inference(superposition,[],[f23,f270]) ).
fof(f329,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f270,f284]) ).
fof(f350,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f109,f27]) ).
fof(f362,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f350,f26]) ).
fof(f371,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f362,f26]) ).
fof(f377,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f371,f27]) ).
fof(f394,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f377]) ).
fof(f407,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f394,f25]) ).
fof(f425,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF15,composition(sK0,X0)),
inference(superposition,[],[f407,f59]) ).
fof(f433,plain,
! [X0] : composition(sK0,join(X0,sF7)) = join(composition(sK0,X0),sF8),
inference(superposition,[],[f407,f45]) ).
fof(f545,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f329]) ).
fof(f558,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f545,f270]) ).
fof(f574,plain,
! [X0] : join(complement(join(complement(X0),X0)),complement(complement(X0))) = X0,
inference(superposition,[],[f160,f558]) ).
fof(f579,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f213,f558]) ).
fof(f581,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f579,f20]) ).
fof(f604,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f581,f32]) ).
fof(f695,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f18,f604]) ).
fof(f717,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,[],[f159,f158]) ).
fof(f725,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(join(zero,complement(X1))),complement(join(X1,zero))),
inference(superposition,[],[f159,f32]) ).
fof(f769,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(join(zero,complement(X1))),complement(X1)),
inference(forward_demodulation,[],[f725,f604]) ).
fof(f774,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,[],[f717,f19]) ).
fof(f779,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(complement(X1)),complement(X1)),
inference(forward_demodulation,[],[f769,f695]) ).
fof(f782,plain,
! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f774,f581]) ).
fof(f785,plain,
! [X1] : top = join(complement(complement(X1)),complement(X1)),
inference(forward_demodulation,[],[f779,f29]) ).
fof(f856,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f160,f785]) ).
fof(f861,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(complement(X0)),complement(complement(X0)))),join(complement(top),X1)),
inference(superposition,[],[f213,f785]) ).
fof(f871,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(complement(X0)),complement(complement(X0)))),join(zero,X1)),
inference(forward_demodulation,[],[f861,f199]) ).
fof(f876,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),zero),
inference(forward_demodulation,[],[f856,f199]) ).
fof(f884,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(complement(X0)),complement(complement(X0)))),X1),
inference(forward_demodulation,[],[f871,f695]) ).
fof(f886,plain,
! [X0] : complement(X0) = complement(join(complement(complement(X0)),X0)),
inference(forward_demodulation,[],[f876,f604]) ).
fof(f890,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(complement(complement(X0))),X1),
inference(forward_demodulation,[],[f884,f558]) ).
fof(f909,plain,
! [X0] : complement(complement(X0)) = join(complement(join(complement(complement(complement(X0))),X0)),complement(complement(X0))),
inference(superposition,[],[f160,f886]) ).
fof(f946,plain,
! [X0] : complement(complement(X0)) = join(complement(join(complement(X0),X0)),complement(complement(X0))),
inference(forward_demodulation,[],[f909,f890]) ).
fof(f957,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f946,f574]) ).
fof(f963,plain,
sK1 = complement(sF3),
inference(superposition,[],[f957,f35]) ).
fof(f964,plain,
sK2 = complement(sF4),
inference(superposition,[],[f957,f37]) ).
fof(f968,plain,
sF10 = complement(sF11),
inference(superposition,[],[f957,f51]) ).
fof(f969,plain,
sF11 = complement(sF12),
inference(superposition,[],[f957,f53]) ).
fof(f971,plain,
sF15 = complement(sF16),
inference(superposition,[],[f957,f61]) ).
fof(f972,plain,
sF17 = complement(sF18),
inference(superposition,[],[f957,f65]) ).
fof(f989,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f558,f957]) ).
fof(f990,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f581,f957]) ).
fof(f991,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f782,f957]) ).
fof(f997,plain,
sF10 = sF12,
inference(forward_demodulation,[],[f968,f53]) ).
fof(f998,plain,
sK2 = sF5,
inference(forward_demodulation,[],[f964,f39]) ).
fof(f1001,plain,
sF10 = composition(sK0,sF5),
inference(superposition,[],[f49,f998]) ).
fof(f1003,plain,
sF12 = composition(sK0,sF5),
inference(forward_demodulation,[],[f1001,f997]) ).
fof(f1019,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f990,f18]) ).
fof(f1152,plain,
complement(sF12) = join(complement(sF12),complement(sF17)),
inference(superposition,[],[f1019,f63]) ).
fof(f1186,plain,
complement(sF12) = join(complement(sF12),sF18),
inference(forward_demodulation,[],[f1152,f65]) ).
fof(f1207,plain,
sF11 = join(sF11,sF18),
inference(forward_demodulation,[],[f1186,f969]) ).
fof(f1306,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f991,f18]) ).
fof(f1772,plain,
complement(sF18) = join(complement(sF18),complement(sF11)),
inference(superposition,[],[f1019,f1207]) ).
fof(f1773,plain,
complement(sF18) = join(complement(sF18),sF12),
inference(forward_demodulation,[],[f1772,f53]) ).
fof(f1776,plain,
sF17 = join(sF17,sF12),
inference(forward_demodulation,[],[f1773,f972]) ).
fof(f2209,plain,
join(complement(sF16),sF12) = join(sF12,complement(sF17)),
inference(superposition,[],[f991,f165]) ).
fof(f2212,plain,
join(complement(sF16),sF12) = join(sF12,sF18),
inference(forward_demodulation,[],[f2209,f65]) ).
fof(f2217,plain,
join(sF12,sF18) = join(sF15,sF12),
inference(forward_demodulation,[],[f2212,f971]) ).
fof(f2744,plain,
join(complement(sF3),sF5) = join(sF5,complement(sF6)),
inference(superposition,[],[f1306,f41]) ).
fof(f2835,plain,
join(complement(sF3),sF5) = join(sF5,sF7),
inference(forward_demodulation,[],[f2744,f43]) ).
fof(f2876,plain,
join(sF5,sF7) = join(sK1,sF5),
inference(forward_demodulation,[],[f2835,f963]) ).
fof(f2915,plain,
join(sF15,composition(sK0,sF5)) = composition(sK0,join(sF5,sF7)),
inference(superposition,[],[f425,f2876]) ).
fof(f2933,plain,
join(sF15,composition(sK0,sF5)) = join(composition(sK0,sF5),sF8),
inference(forward_demodulation,[],[f2915,f433]) ).
fof(f2937,plain,
join(sF15,sF12) = join(sF12,sF8),
inference(forward_demodulation,[],[f2933,f1003]) ).
fof(f2939,plain,
join(sF12,sF18) = join(sF12,sF8),
inference(forward_demodulation,[],[f2937,f2217]) ).
fof(f2946,plain,
join(complement(sF18),sF12) = join(sF12,complement(join(sF12,sF8))),
inference(superposition,[],[f991,f2939]) ).
fof(f2952,plain,
join(complement(sF18),sF12) = join(complement(sF8),sF12),
inference(forward_demodulation,[],[f2946,f991]) ).
fof(f2956,plain,
join(sF9,sF12) = join(complement(sF18),sF12),
inference(forward_demodulation,[],[f2952,f47]) ).
fof(f2958,plain,
join(sF9,sF12) = join(sF17,sF12),
inference(forward_demodulation,[],[f2956,f972]) ).
fof(f2960,plain,
join(sF9,sF12) = sF17,
inference(forward_demodulation,[],[f2958,f1776]) ).
fof(f2962,plain,
sF13 = sF17,
inference(forward_demodulation,[],[f2960,f55]) ).
fof(f2963,plain,
complement(sF13) = sF18,
inference(superposition,[],[f65,f2962]) ).
fof(f2964,plain,
sF14 = sF18,
inference(forward_demodulation,[],[f2963,f57]) ).
fof(f2965,plain,
sF19 = join(sF14,sF14),
inference(superposition,[],[f67,f2964]) ).
fof(f2974,plain,
sF14 = sF19,
inference(forward_demodulation,[],[f2965,f989]) ).
fof(f2976,plain,
spl21_2,
inference(avatar_split_clause,[],[f2974,f76]) ).
fof(f2980,plain,
( sF14 != sF18
| spl21_1
| ~ spl21_2 ),
inference(superposition,[],[f179,f77]) ).
fof(f2981,plain,
( $false
| spl21_1
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f2980,f2964]) ).
fof(f2982,plain,
( spl21_1
| ~ spl21_2 ),
inference(avatar_contradiction_clause,[],[f2981]) ).
cnf(s1,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(sat_conversion,[],[f79]) ).
cnf(s2,plain,
spl21_2,
inference(sat_conversion,[],[f2976]) ).
cnf(s4,plain,
( spl21_1
| ~ spl21_2 ),
inference(sat_conversion,[],[f2982]) ).
cnf(s5,plain,
spl21_1,
inference(rat,[],[s4,s2]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s5]) ).
fof(f2985,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL016+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:54:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.40 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
% 9.38/2.15 % (3297834)Detected formulas, will run a generic FOF schedule.
% 9.38/2.15 % (3297843)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1651684126:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.38/2.15 % (3297843)Instruction limit reached!
% 9.38/2.15 % (3297843)------------------------------
% 9.38/2.15 % (3297843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.15 % (3297843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.15 % (3297843)CaDiCaL version: 2.1.3
% 9.38/2.15 % (3297843)Termination reason: Instruction limit
% 9.38/2.15 % (3297843)Termination phase: Saturation
% 9.38/2.15 % (3297843)Time elapsed: 0.032 s
% 9.38/2.15 % (3297843)Peak memory usage: 88 MB
% 9.38/2.15 % (3297843)Instructions burned: 119 (million)
% 9.38/2.15 % (3297844)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2833541044:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.38/2.15 % (3297842)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=118830897:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.38/2.15 % (3297839)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=920437556:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.38/2.15 % (3297840)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=769146147:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.38/2.15 % (3297841)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=806743018:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.38/2.15 % (3297842)Refutation not found, incomplete strategy
% 9.38/2.15 % (3297842)------------------------------
% 9.38/2.15 % (3297842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.15 % (3297842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.15 % (3297842)CaDiCaL version: 2.1.3
% 9.38/2.15 % (3297842)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.15 % (3297842)Time elapsed: 0.002 s
% 9.38/2.15 % (3297842)Peak memory usage: 88 MB
% 9.38/2.15 % (3297842)Instructions burned: 2 (million)
% 9.38/2.15 % (3297845)dis-21_1_sil=8000:lcm=predicate:random_seed=2893245514: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)
% 9.38/2.15 % (3297845)Refutation not found, incomplete strategy
% 9.38/2.15 % (3297845)------------------------------
% 9.38/2.15 % (3297845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.15 % (3297845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.15 % (3297845)CaDiCaL version: 2.1.3
% 9.38/2.15 % (3297845)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.15 % (3297845)Time elapsed: 0.001 s
% 9.38/2.15 % (3297845)Peak memory usage: 88 MB
% 9.38/2.15 % (3297845)Instructions burned: 1 (million)
% 9.38/2.15 % (3297844)Instruction limit reached!
% 9.38/2.15 % (3297844)------------------------------
% 9.38/2.15 % (3297844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.15 % (3297844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.15 % (3297844)CaDiCaL version: 2.1.3
% 9.38/2.15 % (3297844)Termination reason: Instruction limit
% 9.38/2.15 % (3297844)Termination phase: Saturation
% 9.38/2.15 % (3297844)Time elapsed: 0.089 s
% 9.38/2.15 % (3297844)Peak memory usage: 90 MB
% 9.38/2.15 % (3297844)Instructions burned: 140 (million)
% 9.38/2.15 % (3297852)lrs+10_1_sil=8000:sp=occurrence:random_seed=4153538425:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.38/2.15 % (3297852)Instruction limit reached!
% 9.38/2.15 % (3297852)------------------------------
% 9.38/2.15 % (3297852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.15 % (3297852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.15 % (3297852)CaDiCaL version: 2.1.3
% 9.38/2.15 % (3297852)Termination reason: Instruction limit
% 9.38/2.15 % (3297852)Termination phase: Saturation
% 9.38/2.15 % (3297852)Time elapsed: 0.092 s
% 9.38/2.15 % (3297852)Peak memory usage: 91 MB
% 9.38/2.15 % (3297852)Instructions burned: 287 (million)
% 9.38/2.15 % (3297854)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3811582178:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.38/2.15 % (3297842)------------------------------
% 9.38/2.15 % (3297842)------------------------------
% 9.38/2.15 % (3297845)------------------------------
% 9.38/2.15 % (3297845)------------------------------
% 9.38/2.15 % (3297856)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3779595142:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.38/2.15 % (3297854)Instruction limit reached!
% 9.38/2.15 % (3297854)------------------------------
% 9.38/2.15 % (3297854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.15 % (3297854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.15 % (3297854)CaDiCaL version: 2.1.3
% 9.38/2.15 % (3297854)Termination reason: Instruction limit
% 9.38/2.15 % (3297854)Termination phase: Saturation
% 9.38/2.15 % (3297854)Time elapsed: 0.097 s
% 9.38/2.15 % (3297854)Peak memory usage: 90 MB
% 9.38/2.15 % (3297854)Instructions burned: 158 (million)
% 9.38/2.15 % (3297858)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=3796267059:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.38/2.15 % (3297856)Instruction limit reached!
% 9.38/2.15 % (3297856)------------------------------
% 9.38/2.15 % (3297856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.15 % (3297856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.15 % (3297856)CaDiCaL version: 2.1.3
% 9.38/2.15 % (3297856)Termination reason: Instruction limit
% 9.38/2.15 % (3297856)Termination phase: Saturation
% 9.38/2.15 % (3297856)Time elapsed: 0.107 s
% 9.38/2.15 % (3297856)Peak memory usage: 92 MB
% 9.38/2.15 % (3297856)Instructions burned: 326 (million)
% 9.38/2.15 % (3297859)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1315907919:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.38/2.15 % (3297859)Refutation not found, incomplete strategy
% 9.38/2.15 % (3297859)------------------------------
% 9.38/2.15 % (3297859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.15 % (3297859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.15 % (3297859)CaDiCaL version: 2.1.3
% 9.38/2.15 % (3297859)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.15 % (3297859)Time elapsed: 0.002 s
% 9.38/2.15 % (3297859)Peak memory usage: 88 MB
% 9.38/2.15 % (3297859)Instructions burned: 2 (million)
% 9.38/2.15 % (3297861)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2040285854:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.38/2.15 % (3297863)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3320649783:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.38/2.15 % (3297863)Refutation not found, incomplete strategy
% 9.38/2.15 % (3297863)------------------------------
% 9.38/2.15 % (3297863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.15 % (3297863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.15 % (3297863)CaDiCaL version: 2.1.3
% 9.38/2.15 % (3297863)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.16 % (3297863)Time elapsed: 0.001 s
% 9.38/2.16 % (3297863)Peak memory usage: 88 MB
% 9.38/2.16 % (3297863)Instructions burned: 2 (million)
% 9.38/2.16 % (3297858)Instruction limit reached!
% 9.38/2.16 % (3297858)------------------------------
% 9.38/2.16 % (3297858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.16 % (3297858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.16 % (3297858)CaDiCaL version: 2.1.3
% 9.38/2.16 % (3297858)Termination reason: Instruction limit
% 9.38/2.16 % (3297858)Termination phase: Saturation
% 9.38/2.16 % (3297858)Time elapsed: 0.159 s
% 9.38/2.16 % (3297858)Peak memory usage: 92 MB
% 9.38/2.16 % (3297858)Instructions burned: 250 (million)
% 9.38/2.16 % (3297841)Refutation not found, incomplete strategy
% 9.38/2.16 % (3297841)------------------------------
% 9.38/2.16 % (3297841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.16 % (3297841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.16 % (3297841)CaDiCaL version: 2.1.3
% 9.38/2.16 % (3297841)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.16 % (3297841)Time elapsed: 0.624 s
% 9.38/2.16 % (3297841)Peak memory usage: 127 MB
% 9.38/2.16 % (3297841)Instructions burned: 896 (million)
% 9.38/2.16 % (3297863)------------------------------
% 9.38/2.16 % (3297863)------------------------------
% 9.38/2.16 % (3297859)------------------------------
% 9.38/2.16 % (3297859)------------------------------
% 9.38/2.16 % (3297867)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1522303292:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.38/2.16 % (3297867)Refutation not found, incomplete strategy
% 9.38/2.16 % (3297867)------------------------------
% 9.38/2.16 % (3297867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.16 % (3297867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.16 % (3297867)CaDiCaL version: 2.1.3
% 9.38/2.16 % (3297867)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.16 % (3297867)Time elapsed: 0.001 s
% 9.38/2.16 % (3297867)Peak memory usage: 87 MB
% 9.38/2.16 % (3297867)Instructions burned: 1 (million)
% 9.38/2.16 % (3297869)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3073863722:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.38/2.16 % (3297869)Instruction limit reached!
% 9.38/2.16 % (3297869)------------------------------
% 9.38/2.16 % (3297869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.16 % (3297869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.16 % (3297869)CaDiCaL version: 2.1.3
% 9.38/2.16 % (3297869)Termination reason: Instruction limit
% 9.38/2.16 % (3297869)Termination phase: Saturation
% 9.38/2.16 % (3297869)Time elapsed: 0.035 s
% 9.38/2.16 % (3297869)Peak memory usage: 89 MB
% 9.38/2.16 % (3297869)Instructions burned: 114 (million)
% 9.38/2.16 % (3297870)lrs+10_1_sil=8000:sp=occurrence:random_seed=1755168733:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.38/2.16 % (3297873)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=981742746:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.38/2.16 % (3297873)Refutation not found, incomplete strategy
% 9.38/2.16 % (3297873)------------------------------
% 9.38/2.16 % (3297873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.16 % (3297873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.16 % (3297873)CaDiCaL version: 2.1.3
% 9.38/2.16 % (3297873)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.16 % (3297873)Time elapsed: 0.001 s
% 9.38/2.16 % (3297873)Peak memory usage: 88 MB
% 9.38/2.16 % (3297873)Instructions burned: 1 (million)
% 9.38/2.16 % (3297841)------------------------------
% 9.38/2.16 % (3297841)------------------------------
% 9.38/2.16 % (3297839)First to succeed.
% 9.38/2.16 % (3297867)------------------------------
% 9.38/2.16 % (3297867)------------------------------
% 9.38/2.16 % (3297839)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3297834"
% 9.38/2.16 % (3297876)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1168282599:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.38/2.16 % (3297873)------------------------------
% 9.38/2.16 % (3297873)------------------------------
% 9.38/2.16 % (3297877)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1053366412:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 9.38/2.16 % (3297877)Refutation not found, incomplete strategy
% 9.38/2.16 % (3297877)------------------------------
% 9.38/2.16 % (3297877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.16 % (3297877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.16 % (3297877)CaDiCaL version: 2.1.3
% 9.38/2.16 % (3297877)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.16 % (3297877)Time elapsed: 0.002 s
% 9.38/2.16 % (3297877)Peak memory usage: 89 MB
% 9.38/2.16 % (3297877)Instructions burned: 1 (million)
% 9.38/2.16 % (3297879)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3328431364:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.38/2.16 % (3297839)Refutation found. Thanks to Tanya!
% 9.38/2.16 % SZS status Theorem for theBenchmark
% 9.38/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 9.87/2.35 % (3297839)------------------------------
% 9.87/2.35 % (3297839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.87/2.35 % (3297839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/2.35 % (3297839)CaDiCaL version: 2.1.3
% 9.87/2.35 % (3297839)Termination reason: Refutation
% 9.87/2.35 % (3297839)Time elapsed: 0.909 s
% 9.87/2.35 % (3297839)Peak memory usage: 133 MB
% 9.87/2.35 % (3297839)Instructions burned: 1390 (million)
% 9.87/2.35 % (3297839)------------------------------
% 9.87/2.35 % (3297839)------------------------------
% 9.87/2.35 % (3297834)Success in time 1.319 s
% 9.87/2.35 % Vampire exiting
%------------------------------------------------------------------------------