%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL016+4 : 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 : n002.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 12:33:45 PM UTC 2026
% Result : Theorem 11.94s 7.79s
% Output : Refutation 13.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 32
% Syntax : Number of formulae : 177 ( 159 unt; 20 def)
% Number of atoms : 197 ( 174 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 : 28 ( 28 usr; 23 con; 0-2 aty)
% Number of variables : 173 ( 0 sgn 170 !; 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(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f17,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(f18,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)],[f17]) ).
fof(f19,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,[],[f18]) ).
fof(f20,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)],[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(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,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,[],[f20]) ).
fof(f38,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f42,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,[],[f37,f24,f24,f24,f24,f24,f24,f24,f24,f24]) ).
fof(f43,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f44,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF4 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f46,plain,
complement(sK2) = sF4,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f48,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f50,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f52,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF8 = composition(sK0,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f54,plain,
composition(sK0,sF7) = sF8,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f56,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF10 = composition(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f58,plain,
composition(sK0,sK2) = sF10,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f60,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF12 = complement(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f62,plain,
complement(sF11) = sF12,
inference(reorient_equations,[],[f61]) ).
fof(f63,definition,
sF13 = join(sF9,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f64,plain,
join(sF9,sF12) = sF13,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF14 = complement(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f66,plain,
complement(sF13) = sF14,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF15 = composition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f68,plain,
composition(sK0,sK1) = sF15,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF16 = complement(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f70,plain,
complement(sF15) = sF16,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF17 = join(sF16,sF12),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f72,plain,
join(sF16,sF12) = sF17,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF18 = complement(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f74,plain,
complement(sF17) = sF18,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF19 = join(sF18,sF14),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f76,plain,
join(sF18,sF14) = sF19,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF20 = join(sF14,sF18),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f78,plain,
join(sF14,sF18) = sF20,
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
( sF14 != sF19
| sF18 != sF20 ),
inference(definition_folding,[],[f42,f78,f74,f72,f62,f60,f58,f70,f68,f66,f64,f62,f60,f58,f56,f54,f52,f50,f48,f46,f44,f74,f72,f62,f60,f58,f70,f68,f76,f66,f64,f62,f60,f58,f56,f54,f52,f50,f48,f46,f44,f74,f72,f62,f60,f58,f70,f68,f66,f64,f62,f60,f58,f56,f54,f52,f50,f48,f46,f44]) ).
fof(f81,definition,
( spl21_1
<=> sF18 = sF20 ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f83,plain,
( sF18 != sF20
| spl21_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f85,definition,
( spl21_2
<=> sF14 = sF19 ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f86,plain,
( sF14 = sF19
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(avatar_split_clause,[],[f79,f85,f81]) ).
fof(f139,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f141,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(f167,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f168,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f169,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f23,f21]) ).
fof(f173,plain,
sF13 = join(sF12,sF9),
inference(superposition,[],[f64,f21]) ).
fof(f175,plain,
sF19 = join(sF14,sF18),
inference(superposition,[],[f76,f21]) ).
fof(f176,plain,
sF19 = sF20,
inference(forward_demodulation,[],[f175,f78]) ).
fof(f188,plain,
( sF18 != sF19
| spl21_1 ),
inference(superposition,[],[f83,f176]) ).
fof(f260,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f141,f30]) ).
fof(f269,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f260,f29]) ).
fof(f272,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f269,f29]) ).
fof(f274,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f272,f30]) ).
fof(f287,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f274]) ).
fof(f298,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f287,f28]) ).
fof(f312,plain,
! [X0] : composition(sK0,join(sK1,X0)) = join(sF15,composition(sK0,X0)),
inference(superposition,[],[f298,f68]) ).
fof(f318,plain,
! [X0] : composition(sK0,join(X0,sF7)) = join(composition(sK0,X0),sF8),
inference(superposition,[],[f298,f54]) ).
fof(f381,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(f397,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f568,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f139,f26]) ).
fof(f582,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f568,f28]) ).
fof(f604,plain,
one = converse(one),
inference(superposition,[],[f26,f582]) ).
fof(f619,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f582,f604]) ).
fof(f977,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f619]) ).
fof(f994,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f977,f582]) ).
fof(f1006,plain,
sF14 = join(sF14,sF14),
inference(superposition,[],[f994,f66]) ).
fof(f1021,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f381,f994]) ).
fof(f1026,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(complement(X0),X1)),
inference(superposition,[],[f22,f994]) ).
fof(f1030,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f1021,f23]) ).
fof(f1061,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f1030,f1030]) ).
fof(f1064,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f1030,f38]) ).
fof(f1068,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f397,f1030]) ).
fof(f1117,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f1064]) ).
fof(f1151,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f381,f1061]) ).
fof(f1171,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f1151,f38]) ).
fof(f1178,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1171,f1117]) ).
fof(f1183,plain,
! [X0] : join(sK1,X0) = join(complement(sF3),X0),
inference(superposition,[],[f1178,f44]) ).
fof(f1191,plain,
! [X0] : join(sF15,X0) = join(complement(sF16),X0),
inference(superposition,[],[f1178,f70]) ).
fof(f1212,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f1030,f1178]) ).
fof(f1221,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f21,f1178]) ).
fof(f1222,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,complement(complement(X0)))),
inference(superposition,[],[f397,f1178]) ).
fof(f1228,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f1064,f1178]) ).
fof(f1229,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1228,f1064]) ).
fof(f1258,plain,
sK2 = complement(sF4),
inference(superposition,[],[f1229,f46]) ).
fof(f1262,plain,
sF10 = complement(sF11),
inference(superposition,[],[f1229,f60]) ).
fof(f1266,plain,
sF17 = complement(sF18),
inference(superposition,[],[f1229,f74]) ).
fof(f1278,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f167,f1229]) ).
fof(f1292,plain,
sF10 = sF12,
inference(forward_demodulation,[],[f1262,f62]) ).
fof(f1293,plain,
sK2 = sF5,
inference(forward_demodulation,[],[f1258,f48]) ).
fof(f1296,plain,
sF10 = composition(sK0,sF5),
inference(superposition,[],[f58,f1293]) ).
fof(f1298,plain,
sF12 = composition(sK0,sF5),
inference(forward_demodulation,[],[f1296,f1292]) ).
fof(f1400,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f1212,f21]) ).
fof(f1544,plain,
! [X0,X1] : complement(complement(join(X1,X0))) = join(complement(complement(join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f1400,f1400]) ).
fof(f1600,plain,
! [X0,X1] : complement(complement(join(X1,X0))) = join(join(X1,X0),complement(complement(X0))),
inference(forward_demodulation,[],[f1544,f1178]) ).
fof(f1621,plain,
! [X0,X1] : join(X1,join(X0,complement(complement(X0)))) = complement(complement(join(X1,X0))),
inference(forward_demodulation,[],[f1600,f22]) ).
fof(f1637,plain,
! [X0,X1] : join(X1,X0) = join(X1,join(X0,complement(complement(X0)))),
inference(forward_demodulation,[],[f1621,f1229]) ).
fof(f1645,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1637,f1222]) ).
fof(f1806,plain,
sF17 = join(sF12,sF17),
inference(superposition,[],[f1645,f72]) ).
fof(f2526,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f23,f1278]) ).
fof(f2533,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0))))),complement(complement(X0))),
inference(superposition,[],[f168,f1278]) ).
fof(f2546,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f2533,f1221]) ).
fof(f2552,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f2526,f1178]) ).
fof(f2603,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(join(complement(X1),X0),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f2546,f1221]) ).
fof(f2609,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2552,f1068]) ).
fof(f2634,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f2603,f22]) ).
fof(f2654,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f2634,f2609]) ).
fof(f2662,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2654,f1026]) ).
fof(f2667,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f2609,f21]) ).
fof(f2680,plain,
! [X0,X1] : join(complement(complement(join(complement(X0),complement(X1)))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(superposition,[],[f2609,f169]) ).
fof(f2805,plain,
! [X0,X1] : join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f2680,f1178]) ).
fof(f2854,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f2805,f22]) ).
fof(f2876,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f2854,f1400]) ).
fof(f2922,plain,
! [X0,X1] : join(complement(join(complement(complement(X0)),X1)),X0) = join(complement(join(complement(complement(X0)),X1)),complement(complement(X0))),
inference(superposition,[],[f2662,f1030]) ).
fof(f3012,plain,
! [X0,X1] : join(complement(join(complement(complement(X0)),X1)),X0) = join(complement(complement(X0)),complement(X1)),
inference(forward_demodulation,[],[f2922,f2876]) ).
fof(f3069,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(complement(X0)),X1)),X0),
inference(forward_demodulation,[],[f3012,f1178]) ).
fof(f3110,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(X0,X1)),X0),
inference(forward_demodulation,[],[f3069,f1178]) ).
fof(f3173,plain,
join(complement(sF3),sF5) = join(sF5,complement(sF6)),
inference(superposition,[],[f2667,f50]) ).
fof(f3183,plain,
join(complement(sF16),sF12) = join(sF12,complement(sF17)),
inference(superposition,[],[f2667,f72]) ).
fof(f3268,plain,
join(complement(sF16),sF12) = join(sF12,sF18),
inference(forward_demodulation,[],[f3183,f74]) ).
fof(f3274,plain,
join(complement(sF3),sF5) = join(sF5,sF7),
inference(forward_demodulation,[],[f3173,f52]) ).
fof(f3312,plain,
join(sF12,sF18) = join(sF15,sF12),
inference(forward_demodulation,[],[f3268,f1191]) ).
fof(f3318,plain,
join(sF5,sF7) = join(sK1,sF5),
inference(forward_demodulation,[],[f3274,f1183]) ).
fof(f3372,plain,
join(sF15,composition(sK0,sF5)) = composition(sK0,join(sF5,sF7)),
inference(superposition,[],[f312,f3318]) ).
fof(f3390,plain,
join(sF15,composition(sK0,sF5)) = join(composition(sK0,sF5),sF8),
inference(forward_demodulation,[],[f3372,f318]) ).
fof(f3393,plain,
join(sF15,sF12) = join(sF12,sF8),
inference(forward_demodulation,[],[f3390,f1298]) ).
fof(f3395,plain,
join(sF12,sF18) = join(sF12,sF8),
inference(forward_demodulation,[],[f3393,f3312]) ).
fof(f3833,plain,
join(sF12,complement(sF18)) = join(complement(join(sF12,sF8)),sF12),
inference(superposition,[],[f3110,f3395]) ).
fof(f3834,plain,
join(sF12,complement(sF18)) = join(sF12,complement(sF8)),
inference(forward_demodulation,[],[f3833,f3110]) ).
fof(f3840,plain,
join(sF12,sF9) = join(sF12,complement(sF18)),
inference(forward_demodulation,[],[f3834,f56]) ).
fof(f3845,plain,
join(sF12,sF9) = join(sF12,sF17),
inference(forward_demodulation,[],[f3840,f1266]) ).
fof(f3848,plain,
sF17 = join(sF12,sF9),
inference(forward_demodulation,[],[f3845,f1806]) ).
fof(f3851,plain,
sF13 = sF17,
inference(forward_demodulation,[],[f3848,f173]) ).
fof(f3853,plain,
complement(sF13) = sF18,
inference(superposition,[],[f74,f3851]) ).
fof(f3854,plain,
sF14 = sF18,
inference(forward_demodulation,[],[f3853,f66]) ).
fof(f3855,plain,
sF19 = join(sF14,sF14),
inference(superposition,[],[f76,f3854]) ).
fof(f3863,plain,
sF14 = sF19,
inference(forward_demodulation,[],[f3855,f1006]) ).
fof(f3865,plain,
spl21_2,
inference(avatar_split_clause,[],[f3863,f85]) ).
fof(f3954,plain,
( sF14 != sF18
| spl21_1
| ~ spl21_2 ),
inference(superposition,[],[f188,f86]) ).
fof(f3955,plain,
( $false
| spl21_1
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f3954,f3854]) ).
fof(f3956,plain,
( spl21_1
| ~ spl21_2 ),
inference(avatar_contradiction_clause,[],[f3955]) ).
cnf(s1,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
spl21_2,
inference(sat_conversion,[],[f3865]) ).
cnf(s4,plain,
( spl21_1
| ~ spl21_2 ),
inference(sat_conversion,[],[f3956]) ).
cnf(s5,plain,
spl21_1,
inference(rat,[],[s4,s2]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s5]) ).
fof(f3957,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL016+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n002.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 27 22:53:59 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 11.94/7.79 % (3975406)Detected formulas, will run a generic FOF schedule.
% 11.94/7.79 % (3975422)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1033852992:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.94/7.79 % (3975421)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1931529408:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.94/7.79 % (3975418)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=608303665:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.94/7.79 % (3975419)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=782198888:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.94/7.79 % (3975421)Refutation not found, incomplete strategy
% 11.94/7.79 % (3975421)------------------------------
% 11.94/7.79 % (3975421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975421)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975421)Termination reason: Refutation not found, incomplete strategy
% 11.94/7.79 % (3975421)Time elapsed: 0.004 s
% 11.94/7.79 % (3975421)Peak memory usage: 88 MB
% 11.94/7.79 % (3975421)Instructions burned: 2 (million)
% 11.94/7.79 % (3975422)Instruction limit reached!
% 11.94/7.79 % (3975422)------------------------------
% 11.94/7.79 % (3975422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975422)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975422)Termination reason: Instruction limit
% 11.94/7.79 % (3975422)Termination phase: Saturation
% 11.94/7.79 % (3975422)Time elapsed: 0.057 s
% 11.94/7.79 % (3975422)Peak memory usage: 89 MB
% 11.94/7.79 % (3975422)Instructions burned: 119 (million)
% 11.94/7.79 % (3975420)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=2999543789:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.94/7.79 % (3975423)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3426618600:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.94/7.79 % (3975424)dis-21_1_sil=8000:lcm=predicate:random_seed=4113716875: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)
% 11.94/7.79 % (3975424)Refutation not found, incomplete strategy
% 11.94/7.79 % (3975424)------------------------------
% 11.94/7.79 % (3975424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975424)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975424)Termination reason: Refutation not found, incomplete strategy
% 11.94/7.79 % (3975424)Time elapsed: 0.003 s
% 11.94/7.79 % (3975424)Peak memory usage: 88 MB
% 11.94/7.79 % (3975424)Instructions burned: 2 (million)
% 11.94/7.79 % (3975423)Instruction limit reached!
% 11.94/7.79 % (3975423)------------------------------
% 11.94/7.79 % (3975423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975423)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975423)Termination reason: Instruction limit
% 11.94/7.79 % (3975423)Termination phase: Saturation
% 11.94/7.79 % (3975423)Time elapsed: 0.139 s
% 11.94/7.79 % (3975423)Peak memory usage: 90 MB
% 11.94/7.79 % (3975423)Instructions burned: 139 (million)
% 11.94/7.79 % (3975431)lrs+10_1_sil=8000:sp=occurrence:random_seed=1208529106:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.94/7.79 % (3975431)Instruction limit reached!
% 11.94/7.79 % (3975431)------------------------------
% 11.94/7.79 % (3975431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975431)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975431)Termination reason: Instruction limit
% 11.94/7.79 % (3975431)Termination phase: Saturation
% 11.94/7.79 % (3975431)Time elapsed: 0.149 s
% 11.94/7.79 % (3975431)Peak memory usage: 91 MB
% 11.94/7.79 % (3975431)Instructions burned: 285 (million)
% 11.94/7.79 % (3975421)------------------------------
% 11.94/7.79 % (3975421)------------------------------
% 11.94/7.79 % (3975424)------------------------------
% 11.94/7.79 % (3975424)------------------------------
% 11.94/7.79 % (3975436)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1303664945:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.94/7.79 % (3975439)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2891564504:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 11.94/7.79 % (3975436)Instruction limit reached!
% 11.94/7.79 % (3975436)------------------------------
% 11.94/7.79 % (3975436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975436)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975436)Termination reason: Instruction limit
% 11.94/7.79 % (3975436)Termination phase: Saturation
% 11.94/7.79 % (3975436)Time elapsed: 0.159 s
% 11.94/7.79 % (3975436)Peak memory usage: 90 MB
% 11.94/7.79 % (3975436)Instructions burned: 158 (million)
% 11.94/7.79 % (3975440)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=3680230598:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 11.94/7.79 % (3975442)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2032917098:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.94/7.79 % (3975442)Refutation not found, incomplete strategy
% 11.94/7.79 % (3975442)------------------------------
% 11.94/7.79 % (3975442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975442)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975442)Termination reason: Refutation not found, incomplete strategy
% 11.94/7.79 % (3975442)Time elapsed: 0.004 s
% 11.94/7.79 % (3975442)Peak memory usage: 88 MB
% 11.94/7.79 % (3975442)Instructions burned: 3 (million)
% 11.94/7.79 % (3975445)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3591402472:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 11.94/7.79 % (3975439)Instruction limit reached!
% 11.94/7.79 % (3975439)------------------------------
% 11.94/7.79 % (3975439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975439)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975439)Termination reason: Instruction limit
% 11.94/7.79 % (3975439)Termination phase: Saturation
% 11.94/7.79 % (3975439)Time elapsed: 0.321 s
% 11.94/7.79 % (3975439)Peak memory usage: 92 MB
% 11.94/7.79 % (3975439)Instructions burned: 325 (million)
% 11.94/7.79 % (3975440)Instruction limit reached!
% 11.94/7.79 % (3975440)------------------------------
% 11.94/7.79 % (3975440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975440)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975440)Termination reason: Instruction limit
% 11.94/7.79 % (3975440)Termination phase: Saturation
% 11.94/7.79 % (3975440)Time elapsed: 0.249 s
% 11.94/7.79 % (3975440)Peak memory usage: 92 MB
% 11.94/7.79 % (3975440)Instructions burned: 248 (million)
% 11.94/7.79 % (3975420)Refutation not found, incomplete strategy
% 11.94/7.79 % (3975420)------------------------------
% 11.94/7.79 % (3975420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975420)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975420)Termination reason: Refutation not found, incomplete strategy
% 11.94/7.79 % (3975420)Time elapsed: 0.929 s
% 11.94/7.79 % (3975420)Peak memory usage: 128 MB
% 11.94/7.79 % (3975420)Instructions burned: 900 (million)
% 11.94/7.79 % (3975442)------------------------------
% 11.94/7.79 % (3975442)------------------------------
% 11.94/7.79 % (3975449)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1237502940:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 11.94/7.79 % (3975449)Refutation not found, incomplete strategy
% 11.94/7.79 % (3975449)------------------------------
% 11.94/7.79 % (3975449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975449)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975449)Termination reason: Refutation not found, incomplete strategy
% 11.94/7.79 % (3975449)Time elapsed: 0.003 s
% 11.94/7.79 % (3975449)Peak memory usage: 89 MB
% 11.94/7.79 % (3975449)Instructions burned: 3 (million)
% 11.94/7.79 % (3975450)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1349733099:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 11.94/7.79 % (3975450)Refutation not found, incomplete strategy
% 11.94/7.79 % (3975450)------------------------------
% 11.94/7.79 % (3975450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975450)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975450)Termination reason: Refutation not found, incomplete strategy
% 11.94/7.79 % (3975450)Time elapsed: 0.001 s
% 11.94/7.79 % (3975450)Peak memory usage: 88 MB
% 11.94/7.79 % (3975450)Instructions burned: 1 (million)
% 11.94/7.79 % (3975451)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=217880892:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 11.94/7.79 % (3975420)------------------------------
% 11.94/7.79 % (3975420)------------------------------
% 11.94/7.79 % (3975451)Instruction limit reached!
% 11.94/7.79 % (3975451)------------------------------
% 11.94/7.79 % (3975451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975451)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975451)Termination reason: Instruction limit
% 11.94/7.79 % (3975451)Termination phase: Saturation
% 11.94/7.79 % (3975451)Time elapsed: 0.087 s
% 11.94/7.79 % (3975451)Peak memory usage: 89 MB
% 11.94/7.79 % (3975451)Instructions burned: 115 (million)
% 11.94/7.79 % (3975449)------------------------------
% 11.94/7.79 % (3975449)------------------------------
% 11.94/7.79 % (3975450)------------------------------
% 11.94/7.79 % (3975450)------------------------------
% 11.94/7.79 % (3975455)lrs+10_1_sil=8000:sp=occurrence:random_seed=3446971052:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 11.94/7.79 % (3975418)First to succeed.
% 11.94/7.79 % (3975418)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3975406"
% 11.94/7.79 % (3975456)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3186538782:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 11.94/7.79 % (3975456)Refutation not found, incomplete strategy
% 11.94/7.79 % (3975456)------------------------------
% 11.94/7.79 % (3975456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975456)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975456)Termination reason: Refutation not found, incomplete strategy
% 11.94/7.79 % (3975456)Time elapsed: 0.002 s
% 11.94/7.79 % (3975456)Peak memory usage: 88 MB
% 11.94/7.79 % (3975456)Instructions burned: 1 (million)
% 11.94/7.79 % (3975457)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2592636978:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 11.94/7.79 % (3975458)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4251630073:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 11.94/7.79 % (3975458)Refutation not found, incomplete strategy
% 11.94/7.79 % (3975458)------------------------------
% 11.94/7.79 % (3975458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.94/7.79 % (3975458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.94/7.79 % (3975458)CaDiCaL version: 2.1.3
% 11.94/7.79 % (3975458)Termination reason: Refutation not found, incomplete strategy
% 11.94/7.79 % (3975458)Time elapsed: 0.002 s
% 11.94/7.79 % (3975458)Peak memory usage: 89 MB
% 11.94/7.79 % (3975458)Instructions burned: 2 (million)
% 11.94/7.79 % (3975418)Refutation found. Thanks to Tanya!
% 11.94/7.79 % SZS status Theorem for theBenchmark
% 11.94/7.79 % SZS output start Proof for theBenchmark
% See solution above
% 13.74/7.98 % (3975418)------------------------------
% 13.74/7.98 % (3975418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/7.98 % (3975418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/7.98 % (3975418)CaDiCaL version: 2.1.3
% 13.74/7.98 % (3975418)Termination reason: Refutation
% 13.74/7.98 % (3975418)Time elapsed: 1.396 s
% 13.74/7.98 % (3975418)Peak memory usage: 135 MB
% 13.74/7.98 % (3975418)Instructions burned: 1562 (million)
% 13.74/7.98 % (3975418)------------------------------
% 13.74/7.98 % (3975418)------------------------------
% 13.74/7.98 % (3975406)Success in time 1.852 s
% 13.74/7.98 % Vampire exiting
%------------------------------------------------------------------------------