%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL021+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:33:48 PM UTC 2026
% Result : Theorem 15.91s 3.09s
% Output : Refutation 16.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 23
% Syntax : Number of formulae : 168 ( 164 unt; 10 def)
% Number of atoms : 172 ( 171 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 15 con; 0-2 aty)
% Number of variables : 186 ( 184 !; 2 ?)
% 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] :
( composition(X0,top) = X0
=> join(composition(meet(X0,one),X1),meet(X0,X1)) = meet(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( composition(X0,top) = X0
=> join(composition(meet(X0,one),X1),meet(X0,X1)) = meet(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( meet(X0,X1) != join(composition(meet(X0,one),X1),meet(X0,X1))
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( meet(sK0,sK1) != join(composition(meet(sK0,one),sK1),meet(sK0,sK1))
& sK0 = composition(sK0,top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[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,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
meet(sK0,sK1) != join(composition(meet(sK0,one),sK1),meet(sK0,sK1)),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
complement(join(complement(sK0),complement(sK1))) != join(composition(complement(join(complement(sK0),complement(one))),sK1),complement(join(complement(sK0),complement(sK1)))),
inference(definition_unfolding,[],[f32,f21,f21,f21]) ).
fof(f35,definition,
sF2 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f36,plain,
complement(sK0) = sF2,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f38,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f40,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f42,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF6 = complement(one),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f44,plain,
complement(one) = sF6,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF7 = join(sF2,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f46,plain,
join(sF2,sF6) = sF7,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f48,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF9 = composition(sF8,sK1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f50,plain,
composition(sF8,sK1) = sF9,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF10 = join(sF9,sF5),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f52,plain,
join(sF9,sF5) = sF10,
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
sF5 != sF10,
inference(definition_folding,[],[f34,f52,f42,f40,f38,f36,f50,f48,f46,f44,f36,f42,f40,f38,f36]) ).
fof(f54,definition,
sF11 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f55,plain,
composition(sK0,top) = sF11,
inference(reorient_equations,[],[f54]) ).
fof(f56,plain,
sK0 = sF11,
inference(definition_folding,[],[f31,f55]) ).
fof(f57,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f55,f56]) ).
fof(f94,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f96,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f20,f18]) ).
fof(f108,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f110,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(f137,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f110,f27]) ).
fof(f146,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f137,f26]) ).
fof(f149,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f146,f26]) ).
fof(f151,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f149,f27]) ).
fof(f157,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(f170,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f277,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f151]) ).
fof(f289,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f277,f25]) ).
fof(f313,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f19,f289]) ).
fof(f488,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f108,f23]) ).
fof(f489,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f488,f25]) ).
fof(f498,plain,
! [X0,X1] : composition(join(X1,converse(one)),X0) = join(composition(X1,X0),X0),
inference(superposition,[],[f24,f489]) ).
fof(f499,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f24,f489]) ).
fof(f507,plain,
one = converse(one),
inference(superposition,[],[f23,f489]) ).
fof(f515,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f499,f507]) ).
fof(f516,plain,
! [X0,X1] : join(composition(X1,X0),X0) = composition(join(X1,one),X0),
inference(forward_demodulation,[],[f498,f507]) ).
fof(f522,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f489,f507]) ).
fof(f538,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f522]) ).
fof(f551,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f538,f489]) ).
fof(f571,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f157,f551]) ).
fof(f575,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f571,f20]) ).
fof(f595,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f575,f575]) ).
fof(f598,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f575,f33]) ).
fof(f701,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f170,f575]) ).
fof(f887,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f18,f598]) ).
fof(f945,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f157,f595]) ).
fof(f965,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f945,f33]) ).
fof(f971,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f965,f887]) ).
fof(f975,plain,
! [X0] : join(one,X0) = join(complement(sF6),X0),
inference(superposition,[],[f971,f44]) ).
fof(f977,plain,
! [X0] : join(sK0,X0) = join(complement(sF2),X0),
inference(superposition,[],[f971,f36]) ).
fof(f978,plain,
! [X0] : join(sK1,X0) = join(complement(sF3),X0),
inference(superposition,[],[f971,f38]) ).
fof(f998,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f575,f971]) ).
fof(f1001,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f96,f971]) ).
fof(f1007,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f18,f971]) ).
fof(f1016,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f598,f971]) ).
fof(f1017,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1016,f598]) ).
fof(f1025,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1001,f971]) ).
fof(f1043,plain,
one = complement(sF6),
inference(superposition,[],[f1017,f44]) ).
fof(f1045,plain,
sK0 = complement(sF2),
inference(superposition,[],[f1017,f36]) ).
fof(f1046,plain,
sK1 = complement(sF3),
inference(superposition,[],[f1017,f38]) ).
fof(f1057,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f94,f1017]) ).
fof(f1079,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f998,f18]) ).
fof(f1101,plain,
complement(sF2) = join(complement(sF2),complement(sF7)),
inference(superposition,[],[f998,f46]) ).
fof(f1102,plain,
complement(sF2) = join(complement(sF2),complement(sF4)),
inference(superposition,[],[f998,f40]) ).
fof(f1136,plain,
complement(sF2) = join(sK0,complement(sF4)),
inference(forward_demodulation,[],[f1102,f977]) ).
fof(f1137,plain,
complement(sF2) = join(sK0,complement(sF7)),
inference(forward_demodulation,[],[f1101,f977]) ).
fof(f1151,plain,
complement(sF2) = join(sK0,sF5),
inference(forward_demodulation,[],[f1136,f42]) ).
fof(f1152,plain,
complement(sF2) = join(sK0,sF8),
inference(forward_demodulation,[],[f1137,f48]) ).
fof(f1160,plain,
sK0 = join(sK0,sF5),
inference(forward_demodulation,[],[f1151,f1045]) ).
fof(f1161,plain,
sK0 = join(sK0,sF8),
inference(forward_demodulation,[],[f1152,f1045]) ).
fof(f1212,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f1079,f998]) ).
fof(f1221,plain,
complement(sF6) = join(complement(sF6),complement(sF7)),
inference(superposition,[],[f1079,f46]) ).
fof(f1260,plain,
complement(sF6) = join(one,complement(sF7)),
inference(forward_demodulation,[],[f1221,f975]) ).
fof(f1263,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1212,f1007]) ).
fof(f1278,plain,
complement(sF6) = join(one,sF8),
inference(forward_demodulation,[],[f1260,f48]) ).
fof(f1281,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(join(X0,X1),X0),
inference(forward_demodulation,[],[f1263,f1007]) ).
fof(f1292,plain,
one = join(one,sF8),
inference(forward_demodulation,[],[f1278,f1043]) ).
fof(f1295,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1281,f19]) ).
fof(f1303,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1295,f1017]) ).
fof(f1737,plain,
! [X0] : composition(one,X0) = join(X0,composition(sF8,X0)),
inference(superposition,[],[f515,f1292]) ).
fof(f1739,plain,
one = join(sF8,one),
inference(superposition,[],[f18,f1292]) ).
fof(f1747,plain,
! [X0] : join(X0,composition(sF8,X0)) = X0,
inference(forward_demodulation,[],[f1737,f522]) ).
fof(f1794,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(composition(sF8,X0),X1)),
inference(superposition,[],[f170,f1747]) ).
fof(f2634,plain,
! [X0,X1] : complement(X1) = join(complement(join(complement(X0),X1)),complement(join(X0,X1))),
inference(superposition,[],[f1057,f18]) ).
fof(f2697,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f20,f1057]) ).
fof(f2725,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f2697,f971]) ).
fof(f2801,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2725,f701]) ).
fof(f2886,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f2801,f18]) ).
fof(f2889,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = join(complement(join(X1,X0)),X0),
inference(superposition,[],[f2801,f1303]) ).
fof(f2929,plain,
join(complement(sF3),sF2) = join(sF2,complement(sF4)),
inference(superposition,[],[f2801,f40]) ).
fof(f3003,plain,
join(complement(sF3),sF2) = join(sF2,sF5),
inference(forward_demodulation,[],[f2929,f42]) ).
fof(f3031,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(join(X1,X0)),X0),
inference(forward_demodulation,[],[f2889,f2801]) ).
fof(f3048,plain,
join(sK1,sF2) = join(sF2,sF5),
inference(forward_demodulation,[],[f3003,f978]) ).
fof(f3114,plain,
! [X0,X1] : join(complement(X1),complement(join(X0,X1))) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f2886,f2886]) ).
fof(f3246,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3114,f1079]) ).
fof(f3404,plain,
join(sF2,sF5) = join(sF2,sK1),
inference(superposition,[],[f18,f3048]) ).
fof(f3937,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(X0)) = join(complement(join(X1,X0)),complement(join(complement(X1),X0))),
inference(superposition,[],[f1303,f2634]) ).
fof(f3944,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(forward_demodulation,[],[f3937,f3246]) ).
fof(f5212,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X3,X2)),composition(X1,X2)) = join(composition(X0,X3),composition(join(X0,X1),X2)),
inference(superposition,[],[f313,f24]) ).
fof(f10219,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(join(X0,X2),complement(X1))) = join(composition(X0,top),composition(X2,complement(X1))),
inference(superposition,[],[f5212,f29]) ).
fof(f11882,plain,
! [X0,X1] : join(composition(sF8,X1),X0) = join(X0,composition(sF8,join(X0,X1))),
inference(superposition,[],[f1794,f289]) ).
fof(f12117,plain,
join(sK0,composition(sF8,sK0)) = join(composition(sF8,sF5),sK0),
inference(superposition,[],[f11882,f1160]) ).
fof(f12127,plain,
join(composition(sF8,sK1),sF2) = join(sF2,composition(sF8,join(sF2,sF5))),
inference(superposition,[],[f11882,f3404]) ).
fof(f12246,plain,
join(composition(sF8,sK1),sF2) = join(composition(sF8,sF5),sF2),
inference(forward_demodulation,[],[f12127,f11882]) ).
fof(f12252,plain,
sK0 = join(composition(sF8,sF5),sK0),
inference(forward_demodulation,[],[f12117,f1747]) ).
fof(f12298,plain,
join(composition(sF8,sF5),sF2) = join(sF9,sF2),
inference(forward_demodulation,[],[f12246,f50]) ).
fof(f12979,plain,
! [X0] : composition(one,X0) = join(composition(sF8,X0),X0),
inference(superposition,[],[f516,f1739]) ).
fof(f13074,plain,
! [X0] : join(composition(sF8,X0),X0) = X0,
inference(forward_demodulation,[],[f12979,f522]) ).
fof(f13303,plain,
complement(composition(sF8,sF5)) = join(complement(join(sF9,sF2)),complement(join(composition(sF8,sF5),complement(sF2)))),
inference(superposition,[],[f1025,f12298]) ).
fof(f13328,plain,
complement(composition(sF8,sF5)) = join(complement(join(sF9,sF2)),complement(join(composition(sF8,sF5),sK0))),
inference(forward_demodulation,[],[f13303,f1045]) ).
fof(f13335,plain,
complement(composition(sF8,sF5)) = join(complement(join(sF9,sF2)),complement(sK0)),
inference(forward_demodulation,[],[f13328,f12252]) ).
fof(f13338,plain,
complement(composition(sF8,sF5)) = join(complement(join(sF9,sF2)),sF2),
inference(forward_demodulation,[],[f13335,f36]) ).
fof(f13339,plain,
complement(composition(sF8,sF5)) = join(complement(sF9),sF2),
inference(forward_demodulation,[],[f13338,f3031]) ).
fof(f13357,plain,
complement(composition(sF8,sF5)) = join(sF2,complement(sF9)),
inference(superposition,[],[f18,f13339]) ).
fof(f23186,plain,
! [X0] : join(composition(sK0,X0),composition(sK0,complement(X0))) = join(composition(sK0,top),composition(sF8,complement(X0))),
inference(superposition,[],[f10219,f1161]) ).
fof(f23303,plain,
! [X0] : join(composition(sK0,X0),composition(sK0,complement(X0))) = join(sK0,composition(sF8,complement(X0))),
inference(forward_demodulation,[],[f23186,f57]) ).
fof(f23428,plain,
! [X0] : join(sK0,composition(sF8,complement(X0))) = composition(sK0,join(X0,complement(X0))),
inference(forward_demodulation,[],[f23303,f289]) ).
fof(f23515,plain,
! [X0] : composition(sK0,top) = join(sK0,composition(sF8,complement(X0))),
inference(forward_demodulation,[],[f23428,f29]) ).
fof(f23573,plain,
! [X0] : sK0 = join(sK0,composition(sF8,complement(X0))),
inference(forward_demodulation,[],[f23515,f57]) ).
fof(f23716,plain,
sK0 = join(sK0,composition(sF8,sK1)),
inference(superposition,[],[f23573,f1046]) ).
fof(f23763,plain,
sK0 = join(sK0,sF9),
inference(forward_demodulation,[],[f23716,f50]) ).
fof(f23795,plain,
complement(sF9) = join(complement(sK0),complement(sF9)),
inference(superposition,[],[f3944,f23763]) ).
fof(f23817,plain,
complement(sF9) = join(sF2,complement(sF9)),
inference(forward_demodulation,[],[f23795,f36]) ).
fof(f23832,plain,
complement(sF9) = complement(composition(sF8,sF5)),
inference(forward_demodulation,[],[f23817,f13357]) ).
fof(f24101,plain,
composition(sF8,sF5) = complement(complement(sF9)),
inference(superposition,[],[f1017,f23832]) ).
fof(f24127,plain,
sF9 = composition(sF8,sF5),
inference(forward_demodulation,[],[f24101,f1017]) ).
fof(f24170,plain,
sF5 = join(sF9,sF5),
inference(superposition,[],[f13074,f24127]) ).
fof(f24191,plain,
sF5 = sF10,
inference(forward_demodulation,[],[f24170,f52]) ).
fof(f24194,plain,
$false,
inference(forward_subsumption_resolution,[],[f24191,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL021+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 22:53:05 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 11.29/2.46 % (3857508)Detected formulas, will run a generic FOF schedule.
% 11.29/2.46 % (3857517)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1791374876:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.29/2.46 % (3857515)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=104601284:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.29/2.46 % (3857516)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=274539562:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.29/2.46 % (3857514)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=3236974290:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.29/2.46 % (3857513)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=3174335383:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.29/2.46 % (3857517)Instruction limit reached!
% 11.29/2.46 % (3857517)------------------------------
% 11.29/2.46 % (3857517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.46 % (3857517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.46 % (3857517)CaDiCaL version: 2.1.3
% 11.29/2.46 % (3857517)Termination reason: Instruction limit
% 11.29/2.46 % (3857517)Termination phase: Saturation
% 11.29/2.46 % (3857517)Time elapsed: 0.037 s
% 11.29/2.46 % (3857517)Peak memory usage: 89 MB
% 11.29/2.46 % (3857517)Instructions burned: 122 (million)
% 11.29/2.46 % (3857518)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=178681728:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.29/2.46 % (3857519)dis-21_1_sil=8000:lcm=predicate:random_seed=1388474009: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)
% 11.29/2.46 % (3857519)Refutation not found, incomplete strategy
% 11.29/2.46 % (3857519)------------------------------
% 11.29/2.46 % (3857519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.46 % (3857519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.46 % (3857519)CaDiCaL version: 2.1.3
% 11.29/2.46 % (3857519)Termination reason: Refutation not found, incomplete strategy
% 11.29/2.46 % (3857519)Time elapsed: 0.001 s
% 11.29/2.46 % (3857519)Peak memory usage: 88 MB
% 11.29/2.46 % (3857519)Instructions burned: 1 (million)
% 11.29/2.46 % (3857516)Instruction limit reached!
% 11.29/2.46 % (3857516)------------------------------
% 11.29/2.46 % (3857516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.46 % (3857516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.46 % (3857516)CaDiCaL version: 2.1.3
% 11.29/2.46 % (3857516)Termination reason: Instruction limit
% 11.29/2.46 % (3857516)Termination phase: Saturation
% 11.29/2.46 % (3857516)Time elapsed: 0.066 s
% 11.29/2.46 % (3857516)Peak memory usage: 90 MB
% 11.29/2.46 % (3857516)Instructions burned: 110 (million)
% 11.29/2.46 % (3857518)Instruction limit reached!
% 11.29/2.46 % (3857518)------------------------------
% 11.29/2.46 % (3857518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.46 % (3857518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.46 % (3857525)lrs+10_1_sil=8000:sp=occurrence:random_seed=4190020297:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.29/2.46 % (3857518)CaDiCaL version: 2.1.3
% 11.29/2.46 % (3857518)Termination reason: Instruction limit
% 11.29/2.46 % (3857518)Termination phase: Saturation
% 11.29/2.46 % (3857518)Time elapsed: 0.083 s
% 11.29/2.46 % (3857518)Peak memory usage: 90 MB
% 11.29/2.46 % (3857518)Instructions burned: 140 (million)
% 11.29/2.46 % (3857525)Instruction limit reached!
% 11.29/2.46 % (3857525)------------------------------
% 11.29/2.46 % (3857525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.46 % (3857525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.46 % (3857525)CaDiCaL version: 2.1.3
% 11.29/2.46 % (3857525)Termination reason: Instruction limit
% 11.29/2.46 % (3857525)Termination phase: Saturation
% 11.29/2.46 % (3857525)Time elapsed: 0.095 s
% 11.29/2.46 % (3857525)Peak memory usage: 92 MB
% 11.29/2.46 % (3857525)Instructions burned: 288 (million)
% 11.29/2.46 % (3857528)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1106062404:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.91/3.09 % (3857530)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2809964604:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.91/3.09 % (3857519)------------------------------
% 15.91/3.09 % (3857519)------------------------------
% 15.91/3.09 % (3857531)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=3545805812:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 15.91/3.09 % (3857528)Instruction limit reached!
% 15.91/3.09 % (3857528)------------------------------
% 15.91/3.09 % (3857528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857528)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857528)Termination reason: Instruction limit
% 15.91/3.09 % (3857528)Termination phase: Saturation
% 15.91/3.09 % (3857528)Time elapsed: 0.099 s
% 15.91/3.09 % (3857528)Peak memory usage: 90 MB
% 15.91/3.09 % (3857528)Instructions burned: 158 (million)
% 15.91/3.09 % (3857531)Instruction limit reached!
% 15.91/3.09 % (3857531)------------------------------
% 15.91/3.09 % (3857531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857531)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857531)Termination reason: Instruction limit
% 15.91/3.09 % (3857531)Termination phase: Saturation
% 15.91/3.09 % (3857531)Time elapsed: 0.081 s
% 15.91/3.09 % (3857531)Peak memory usage: 92 MB
% 15.91/3.09 % (3857531)Instructions burned: 248 (million)
% 15.91/3.09 % (3857534)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=9138003:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.91/3.09 % (3857530)Instruction limit reached!
% 15.91/3.09 % (3857530)------------------------------
% 15.91/3.09 % (3857530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857530)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857530)Termination reason: Instruction limit
% 15.91/3.09 % (3857530)Termination phase: Saturation
% 15.91/3.09 % (3857530)Time elapsed: 0.200 s
% 15.91/3.09 % (3857530)Peak memory usage: 92 MB
% 15.91/3.09 % (3857530)Instructions burned: 326 (million)
% 15.91/3.09 % (3857536)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3819817884:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 15.91/3.09 % (3857537)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1771758947:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.91/3.09 % (3857537)Instruction limit reached!
% 15.91/3.09 % (3857537)------------------------------
% 15.91/3.09 % (3857537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857537)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857537)Termination reason: Instruction limit
% 15.91/3.09 % (3857537)Termination phase: Saturation
% 15.91/3.09 % (3857537)Time elapsed: 0.037 s
% 15.91/3.09 % (3857537)Peak memory usage: 90 MB
% 15.91/3.09 % (3857537)Instructions burned: 116 (million)
% 15.91/3.09 % (3857539)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2364109756:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 15.91/3.09 % (3857534)Instruction limit reached!
% 15.91/3.09 % (3857534)------------------------------
% 15.91/3.09 % (3857534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857534)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857534)Termination reason: Instruction limit
% 15.91/3.09 % (3857534)Termination phase: Saturation
% 15.91/3.09 % (3857534)Time elapsed: 0.177 s
% 15.91/3.09 % (3857534)Peak memory usage: 92 MB
% 15.91/3.09 % (3857534)Instructions burned: 294 (million)
% 15.91/3.09 % (3857539)Refutation not found, incomplete strategy
% 15.91/3.09 % (3857539)------------------------------
% 15.91/3.09 % (3857539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857539)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857539)Termination reason: Refutation not found, incomplete strategy
% 15.91/3.09 % (3857539)Time elapsed: 0.001 s
% 15.91/3.09 % (3857539)Peak memory usage: 88 MB
% 15.91/3.09 % (3857542)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3275015888:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 15.91/3.09 % (3857542)Instruction limit reached!
% 15.91/3.09 % (3857542)------------------------------
% 15.91/3.09 % (3857542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857542)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857542)Termination reason: Instruction limit
% 15.91/3.09 % (3857542)Termination phase: Saturation
% 15.91/3.09 % (3857542)Time elapsed: 0.032 s
% 15.91/3.09 % (3857542)Peak memory usage: 88 MB
% 15.91/3.09 % (3857542)Instructions burned: 118 (million)
% 15.91/3.09 % (3857544)lrs+10_1_sil=8000:sp=occurrence:random_seed=4015624947:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 15.91/3.09 % (3857546)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1382415233:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 15.91/3.09 % (3857539)------------------------------
% 15.91/3.09 % (3857539)------------------------------
% 15.91/3.09 % (3857546)Instruction limit reached!
% 15.91/3.09 % (3857546)------------------------------
% 15.91/3.09 % (3857546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857546)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857546)Termination reason: Instruction limit
% 15.91/3.09 % (3857546)Termination phase: Saturation
% 15.91/3.09 % (3857546)Time elapsed: 0.118 s
% 15.91/3.09 % (3857546)Peak memory usage: 91 MB
% 15.91/3.09 % (3857546)Instructions burned: 438 (million)
% 15.91/3.09 % (3857549)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=500013020:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 15.91/3.09 % (3857550)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2912923763:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 15.91/3.09 % (3857550)Refutation not found, incomplete strategy
% 15.91/3.09 % (3857550)------------------------------
% 15.91/3.09 % (3857550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857550)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857550)Termination reason: Refutation not found, incomplete strategy
% 15.91/3.09 % (3857550)Time elapsed: 0.001 s
% 15.91/3.09 % (3857550)Peak memory usage: 89 MB
% 15.91/3.09 % (3857550)Instructions burned: 1 (million)
% 15.91/3.09 % (3857550)------------------------------
% 15.91/3.09 % (3857550)------------------------------
% 15.91/3.09 % (3857553)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2846257354:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 15.91/3.09 % (3857544)Instruction limit reached!
% 15.91/3.09 % (3857544)------------------------------
% 15.91/3.09 % (3857544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857544)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857544)Termination reason: Instruction limit
% 15.91/3.09 % (3857544)Termination phase: Saturation
% 15.91/3.09 % (3857544)Time elapsed: 0.539 s
% 15.91/3.09 % (3857544)Peak memory usage: 96 MB
% 15.91/3.09 % (3857544)Instructions burned: 908 (million)
% 15.91/3.09 % (3857555)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3667599923:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 15.91/3.09 % (3857553)Instruction limit reached!
% 15.91/3.09 % (3857553)------------------------------
% 15.91/3.09 % (3857553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857553)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857553)Termination reason: Instruction limit
% 15.91/3.09 % (3857553)Termination phase: Saturation
% 15.91/3.09 % (3857553)Time elapsed: 0.181 s
% 15.91/3.09 % (3857553)Peak memory usage: 94 MB
% 15.91/3.09 % (3857553)Instructions burned: 594 (million)
% 15.91/3.09 % (3857557)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3936327994:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 15.91/3.09 % (3857557)Instruction limit reached!
% 15.91/3.09 % (3857557)------------------------------
% 15.91/3.09 % (3857557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857557)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857557)Termination reason: Instruction limit
% 15.91/3.09 % (3857557)Termination phase: Saturation
% 15.91/3.09 % (3857557)Time elapsed: 0.046 s
% 15.91/3.09 % (3857557)Peak memory usage: 90 MB
% 15.91/3.09 % (3857557)Instructions burned: 126 (million)
% 15.91/3.09 % (3857559)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1171080952:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 15.91/3.09 % (3857559)Instruction limit reached!
% 15.91/3.09 % (3857559)------------------------------
% 15.91/3.09 % (3857559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857559)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857559)Termination reason: Instruction limit
% 15.91/3.09 % (3857559)Termination phase: Saturation
% 15.91/3.09 % (3857559)Time elapsed: 0.038 s
% 15.91/3.09 % (3857559)Peak memory usage: 89 MB
% 15.91/3.09 % (3857559)Instructions burned: 135 (million)
% 15.91/3.09 % (3857561)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3161313061:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 15.91/3.09 % (3857561)Refutation not found, incomplete strategy
% 15.91/3.09 % (3857561)------------------------------
% 15.91/3.09 % (3857561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857561)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857561)Termination reason: Refutation not found, incomplete strategy
% 15.91/3.09 % (3857561)Time elapsed: 0.0000 s
% 15.91/3.09 % (3857561)Peak memory usage: 88 MB
% 15.91/3.09 % (3857513)First to succeed.
% 15.91/3.09 % (3857513)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3857508"
% 15.91/3.09 % (3857561)------------------------------
% 15.91/3.09 % (3857561)------------------------------
% 15.91/3.09 % (3857536)Instruction limit reached!
% 15.91/3.09 % (3857536)------------------------------
% 15.91/3.09 % (3857536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857536)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857536)Termination reason: Instruction limit
% 15.91/3.09 % (3857536)Termination phase: Saturation
% 15.91/3.09 % (3857536)Time elapsed: 1.480 s
% 15.91/3.09 % (3857536)Peak memory usage: 141 MB
% 15.91/3.09 % (3857536)Instructions burned: 2352 (million)
% 15.91/3.09 % (3857563)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1912872947:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 15.91/3.09 % (3857563)Refutation not found, incomplete strategy
% 15.91/3.09 % (3857563)------------------------------
% 15.91/3.09 % (3857563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.91/3.09 % (3857563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/3.09 % (3857563)CaDiCaL version: 2.1.3
% 15.91/3.09 % (3857563)Termination reason: Refutation not found, incomplete strategy
% 15.91/3.09 % (3857563)Time elapsed: 0.001 s
% 15.91/3.09 % (3857563)Peak memory usage: 88 MB
% 15.91/3.09 % (3857563)Instructions burned: 1 (million)
% 15.91/3.09 % (3857564)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=630928147:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 15.91/3.09 % (3857513)Refutation found. Thanks to Tanya!
% 15.91/3.09 % SZS status Theorem for theBenchmark
% 15.91/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 16.50/3.28 % (3857513)------------------------------
% 16.50/3.28 % (3857513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.28 % (3857513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.28 % (3857513)CaDiCaL version: 2.1.3
% 16.50/3.28 % (3857513)Termination reason: Refutation
% 16.50/3.28 % (3857513)Time elapsed: 1.819 s
% 16.50/3.28 % (3857513)Peak memory usage: 147 MB
% 16.50/3.28 % (3857513)Instructions burned: 2951 (million)
% 16.50/3.28 % (3857513)------------------------------
% 16.50/3.28 % (3857513)------------------------------
% 16.50/3.28 % (3857508)Success in time 2.264 s
% 16.50/3.28 % Vampire exiting
%------------------------------------------------------------------------------