%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL036+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:01 PM UTC 2026
% Result : Theorem 16.27s 3.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 26
% Syntax : Number of formulae : 137 ( 133 unt; 13 def)
% Number of atoms : 141 ( 140 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 19 con; 0-2 aty)
% Number of variables : 128 ( 125 !; 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] :
( composition(X0,top) = X0
=> join(composition(meet(X1,converse(X0)),X2),composition(meet(X1,converse(X0)),meet(X0,X2))) = composition(meet(X1,converse(X0)),meet(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> join(composition(meet(X1,converse(X0)),X2),composition(meet(X1,converse(X0)),meet(X0,X2))) = composition(meet(X1,converse(X0)),meet(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( composition(meet(X1,converse(X0)),meet(X0,X2)) != join(composition(meet(X1,converse(X0)),X2),composition(meet(X1,converse(X0)),meet(X0,X2)))
& composition(X0,top) = X0 ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != join(composition(meet(sK1,converse(sK0)),sK2),composition(meet(sK1,converse(sK0)),meet(sK0,sK2)))
& sK0 = composition(sK0,top) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[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,
composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != join(composition(meet(sK1,converse(sK0)),sK2),composition(meet(sK1,converse(sK0)),meet(sK0,sK2))),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f30,f21]) ).
fof(f34,plain,
composition(complement(join(complement(sK1),complement(converse(sK0)))),complement(join(complement(sK0),complement(sK2)))) != join(composition(complement(join(complement(sK1),complement(converse(sK0)))),sK2),composition(complement(join(complement(sK1),complement(converse(sK0)))),complement(join(complement(sK0),complement(sK2))))),
inference(definition_unfolding,[],[f32,f21,f21,f21,f21,f21]) ).
fof(f35,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
converse(sK0) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f40,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f42,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f44,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF8 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f46,plain,
complement(sK0) = sF8,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF9 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f48,plain,
complement(sK2) = sF9,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF10 = join(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f50,plain,
join(sF8,sF9) = sF10,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f52,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF12 = composition(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f54,plain,
composition(sF7,sF11) = sF12,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF13 = composition(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f56,plain,
composition(sF7,sK2) = sF13,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF14 = join(sF13,sF12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f58,plain,
join(sF13,sF12) = sF14,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
sF12 != sF14,
inference(definition_folding,[],[f34,f58,f54,f52,f50,f48,f46,f44,f42,f40,f38,f36,f56,f44,f42,f40,f38,f36,f54,f52,f50,f48,f46,f44,f42,f40,f38,f36]) ).
fof(f60,definition,
sF15 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f61,plain,
composition(sK0,top) = sF15,
inference(reorient_equations,[],[f60]) ).
fof(f62,plain,
sK0 = sF15,
inference(definition_folding,[],[f31,f61]) ).
fof(f63,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f61,f62]) ).
fof(f101,plain,
complement(top) = join(composition(converse(sK0),complement(sK0)),complement(top)),
inference(superposition,[],[f28,f63]) ).
fof(f108,plain,
complement(top) = join(composition(converse(sK0),sF8),complement(top)),
inference(forward_demodulation,[],[f101,f46]) ).
fof(f110,plain,
complement(top) = join(composition(sF4,sF8),complement(top)),
inference(forward_demodulation,[],[f108,f38]) ).
fof(f114,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f27,f25]) ).
fof(f117,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(f133,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f20,f18]) ).
fof(f178,plain,
zero = complement(top),
inference(superposition,[],[f33,f29]) ).
fof(f214,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(f227,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f18,f19]) ).
fof(f349,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f114,f23]) ).
fof(f359,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f349,f25]) ).
fof(f374,plain,
one = converse(one),
inference(superposition,[],[f23,f359]) ).
fof(f378,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f359,f374]) ).
fof(f390,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f28,f378]) ).
fof(f393,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f390,f359]) ).
fof(f542,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f214,f393]) ).
fof(f568,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f542,f20]) ).
fof(f605,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f568,f568]) ).
fof(f610,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f568,f33]) ).
fof(f614,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f227,f568]) ).
fof(f705,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f18,f610]) ).
fof(f753,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f214,f605]) ).
fof(f773,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f753,f33]) ).
fof(f777,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f773,f705]) ).
fof(f784,plain,
! [X0] : join(sK2,X0) = join(complement(sF9),X0),
inference(superposition,[],[f777,f48]) ).
fof(f785,plain,
! [X0] : join(sF4,X0) = join(complement(sF5),X0),
inference(superposition,[],[f777,f40]) ).
fof(f804,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f568,f777]) ).
fof(f820,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f610,f777]) ).
fof(f821,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f820,f610]) ).
fof(f849,plain,
sK2 = complement(sF9),
inference(superposition,[],[f821,f48]) ).
fof(f850,plain,
sF4 = complement(sF5),
inference(superposition,[],[f821,f40]) ).
fof(f861,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f133,f821]) ).
fof(f932,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f804,f18]) ).
fof(f1082,plain,
complement(sF5) = join(complement(sF5),complement(sF6)),
inference(superposition,[],[f932,f42]) ).
fof(f1083,plain,
complement(sF9) = join(complement(sF9),complement(sF10)),
inference(superposition,[],[f932,f50]) ).
fof(f1119,plain,
complement(sF9) = join(sK2,complement(sF10)),
inference(forward_demodulation,[],[f1083,f784]) ).
fof(f1120,plain,
complement(sF5) = join(sF4,complement(sF6)),
inference(forward_demodulation,[],[f1082,f785]) ).
fof(f1137,plain,
complement(sF9) = join(sK2,sF11),
inference(forward_demodulation,[],[f1119,f52]) ).
fof(f1138,plain,
complement(sF5) = join(sF4,sF7),
inference(forward_demodulation,[],[f1120,f44]) ).
fof(f1152,plain,
sK2 = join(sK2,sF11),
inference(forward_demodulation,[],[f1137,f849]) ).
fof(f1153,plain,
sF4 = join(sF4,sF7),
inference(forward_demodulation,[],[f1138,f850]) ).
fof(f1336,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f117,f27]) ).
fof(f1355,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f1336,f26]) ).
fof(f1371,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f1355,f26]) ).
fof(f1380,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f1371,f27]) ).
fof(f1409,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f25,f1380]) ).
fof(f1424,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f1409,f25]) ).
fof(f1482,plain,
! [X0] : composition(sF7,join(sK2,X0)) = join(sF13,composition(sF7,X0)),
inference(superposition,[],[f1424,f56]) ).
fof(f1491,plain,
! [X0] : composition(sF7,join(X0,sF11)) = join(composition(sF7,X0),sF12),
inference(superposition,[],[f1424,f54]) ).
fof(f1546,plain,
composition(sF7,sK2) = join(sF13,composition(sF7,sF11)),
inference(superposition,[],[f1482,f1152]) ).
fof(f1579,plain,
composition(sF7,sK2) = join(sF13,sF12),
inference(forward_demodulation,[],[f1546,f54]) ).
fof(f1585,plain,
composition(sF7,sK2) = sF14,
inference(forward_demodulation,[],[f1579,f58]) ).
fof(f1588,plain,
sF13 = sF14,
inference(forward_demodulation,[],[f1585,f56]) ).
fof(f1589,plain,
sF12 != sF13,
inference(superposition,[],[f59,f1588]) ).
fof(f2296,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f20,f861]) ).
fof(f2321,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f2296,f777]) ).
fof(f2389,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2321,f614]) ).
fof(f2510,plain,
join(complement(sF9),sF8) = join(sF8,complement(sF10)),
inference(superposition,[],[f2389,f50]) ).
fof(f2578,plain,
join(complement(sF9),sF8) = join(sF8,sF11),
inference(forward_demodulation,[],[f2510,f52]) ).
fof(f2618,plain,
join(sF8,sF11) = join(sK2,sF8),
inference(forward_demodulation,[],[f2578,f784]) ).
fof(f2670,plain,
join(sF13,composition(sF7,sF8)) = composition(sF7,join(sF8,sF11)),
inference(superposition,[],[f1482,f2618]) ).
fof(f2684,plain,
join(sF13,composition(sF7,sF8)) = join(composition(sF7,sF8),sF12),
inference(forward_demodulation,[],[f2670,f1491]) ).
fof(f8776,plain,
zero = join(composition(sF4,sF8),zero),
inference(superposition,[],[f110,f178]) ).
fof(f8812,plain,
zero = composition(sF4,sF8),
inference(forward_demodulation,[],[f8776,f610]) ).
fof(f8839,plain,
! [X0] : composition(join(sF4,X0),sF8) = join(zero,composition(X0,sF8)),
inference(superposition,[],[f24,f8812]) ).
fof(f8852,plain,
! [X0] : composition(X0,sF8) = composition(join(sF4,X0),sF8),
inference(forward_demodulation,[],[f8839,f705]) ).
fof(f8993,plain,
composition(sF4,sF8) = composition(sF7,sF8),
inference(superposition,[],[f8852,f1153]) ).
fof(f9040,plain,
zero = composition(sF7,sF8),
inference(forward_demodulation,[],[f8993,f8812]) ).
fof(f9082,plain,
! [X0] : composition(sF7,join(sF8,X0)) = join(zero,composition(sF7,X0)),
inference(superposition,[],[f1424,f9040]) ).
fof(f9085,plain,
! [X0] : composition(sF7,X0) = composition(sF7,join(sF8,X0)),
inference(forward_demodulation,[],[f9082,f705]) ).
fof(f9566,plain,
composition(sF7,sF11) = join(composition(sF7,sF8),sF12),
inference(superposition,[],[f1491,f9085]) ).
fof(f9584,plain,
composition(sF7,sF11) = join(sF13,composition(sF7,sF8)),
inference(forward_demodulation,[],[f9566,f2684]) ).
fof(f9605,plain,
composition(sF7,sF11) = join(sF13,zero),
inference(forward_demodulation,[],[f9584,f9040]) ).
fof(f9616,plain,
composition(sF7,sF11) = sF13,
inference(forward_demodulation,[],[f9605,f610]) ).
fof(f9620,plain,
sF12 = sF13,
inference(forward_demodulation,[],[f9616,f54]) ).
fof(f9623,plain,
$false,
inference(forward_subsumption_resolution,[],[f9620,f1589]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL036+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 22:58:31 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 16.27/3.38 % (2107486)Detected formulas, will run a generic FOF schedule.
% 16.27/3.38 % (2107507)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3560146607:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.27/3.38 % (2107505)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=769846595:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.27/3.38 % (2107506)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=3815604614:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.27/3.38 % (2107504)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=3745952379:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.27/3.38 % (2107507)Instruction limit reached!
% 16.27/3.38 % (2107507)------------------------------
% 16.27/3.38 % (2107507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107507)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107507)Termination reason: Instruction limit
% 16.27/3.38 % (2107507)Termination phase: Saturation
% 16.27/3.38 % (2107507)Time elapsed: 0.042 s
% 16.27/3.38 % (2107507)Peak memory usage: 90 MB
% 16.27/3.38 % (2107507)Instructions burned: 111 (million)
% 16.27/3.38 % (2107510)dis-21_1_sil=8000:lcm=predicate:random_seed=636480036: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)
% 16.27/3.38 % (2107510)Refutation not found, incomplete strategy
% 16.27/3.38 % (2107510)------------------------------
% 16.27/3.38 % (2107510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107510)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107510)Termination reason: Refutation not found, incomplete strategy
% 16.27/3.38 % (2107510)Time elapsed: 0.003 s
% 16.27/3.38 % (2107510)Peak memory usage: 88 MB
% 16.27/3.38 % (2107510)Instructions burned: 1 (million)
% 16.27/3.38 % (2107509)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2814766446:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.27/3.38 % (2107508)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3635451766:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.27/3.38 % (2107508)Instruction limit reached!
% 16.27/3.38 % (2107508)------------------------------
% 16.27/3.38 % (2107508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107508)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107508)Termination reason: Instruction limit
% 16.27/3.38 % (2107508)Termination phase: Saturation
% 16.27/3.38 % (2107508)Time elapsed: 0.099 s
% 16.27/3.38 % (2107508)Peak memory usage: 88 MB
% 16.27/3.38 % (2107508)Instructions burned: 119 (million)
% 16.27/3.38 % (2107509)Instruction limit reached!
% 16.27/3.38 % (2107509)------------------------------
% 16.27/3.38 % (2107509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107509)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107509)Termination reason: Instruction limit
% 16.27/3.38 % (2107509)Termination phase: Saturation
% 16.27/3.38 % (2107509)Time elapsed: 0.125 s
% 16.27/3.38 % (2107509)Peak memory usage: 89 MB
% 16.27/3.38 % (2107509)Instructions burned: 140 (million)
% 16.27/3.38 % (2107523)lrs+10_1_sil=8000:sp=occurrence:random_seed=1504185106:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 16.27/3.38 % (2107510)------------------------------
% 16.27/3.38 % (2107510)------------------------------
% 16.27/3.38 % (2107528)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3426229102:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 16.27/3.38 % (2107529)lrs+1011_1_sil=32000:sp=occurrence:random_seed=541668995:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 16.27/3.38 % (2107523)Instruction limit reached!
% 16.27/3.38 % (2107523)------------------------------
% 16.27/3.38 % (2107523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107523)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107523)Termination reason: Instruction limit
% 16.27/3.38 % (2107523)Termination phase: Saturation
% 16.27/3.38 % (2107523)Time elapsed: 0.284 s
% 16.27/3.38 % (2107523)Peak memory usage: 92 MB
% 16.27/3.38 % (2107523)Instructions burned: 285 (million)
% 16.27/3.38 % (2107528)Instruction limit reached!
% 16.27/3.38 % (2107528)------------------------------
% 16.27/3.38 % (2107528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107528)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107528)Termination reason: Instruction limit
% 16.27/3.38 % (2107528)Termination phase: Saturation
% 16.27/3.38 % (2107528)Time elapsed: 0.161 s
% 16.27/3.38 % (2107528)Peak memory usage: 90 MB
% 16.27/3.38 % (2107528)Instructions burned: 157 (million)
% 16.27/3.38 % (2107539)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=3064345899:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 16.27/3.38 % (2107544)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3693449197:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 16.27/3.38 % (2107529)Instruction limit reached!
% 16.27/3.38 % (2107529)------------------------------
% 16.27/3.38 % (2107529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107529)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107529)Termination reason: Instruction limit
% 16.27/3.38 % (2107529)Termination phase: Saturation
% 16.27/3.38 % (2107529)Time elapsed: 0.332 s
% 16.27/3.38 % (2107529)Peak memory usage: 92 MB
% 16.27/3.38 % (2107529)Instructions burned: 325 (million)
% 16.27/3.38 % (2107545)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3320694301:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 16.27/3.38 % (2107539)Instruction limit reached!
% 16.27/3.38 % (2107539)------------------------------
% 16.27/3.38 % (2107539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107539)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107539)Termination reason: Instruction limit
% 16.27/3.38 % (2107539)Termination phase: Saturation
% 16.27/3.38 % (2107539)Time elapsed: 0.246 s
% 16.27/3.38 % (2107539)Peak memory usage: 92 MB
% 16.27/3.38 % (2107539)Instructions burned: 248 (million)
% 16.27/3.38 % (2107544)Instruction limit reached!
% 16.27/3.38 % (2107544)------------------------------
% 16.27/3.38 % (2107544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107544)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107544)Termination reason: Instruction limit
% 16.27/3.38 % (2107544)Termination phase: Saturation
% 16.27/3.38 % (2107544)Time elapsed: 0.158 s
% 16.27/3.38 % (2107544)Peak memory usage: 92 MB
% 16.27/3.38 % (2107544)Instructions burned: 295 (million)
% 16.27/3.38 % (2107552)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=892041614:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 16.27/3.38 % (2107556)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=570802779:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 16.27/3.38 % (2107556)Refutation not found, incomplete strategy
% 16.27/3.38 % (2107556)------------------------------
% 16.27/3.38 % (2107556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107556)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107556)Termination reason: Refutation not found, incomplete strategy
% 16.27/3.38 % (2107556)Time elapsed: 0.001 s
% 16.27/3.38 % (2107556)Peak memory usage: 87 MB
% 16.27/3.38 % (2107552)Instruction limit reached!
% 16.27/3.38 % (2107552)------------------------------
% 16.27/3.38 % (2107552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107552)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107552)Termination reason: Instruction limit
% 16.27/3.38 % (2107552)Termination phase: Saturation
% 16.27/3.38 % (2107552)Time elapsed: 0.115 s
% 16.27/3.38 % (2107552)Peak memory usage: 90 MB
% 16.27/3.38 % (2107552)Instructions burned: 114 (million)
% 16.27/3.38 % (2107557)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3413670156:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 16.27/3.38 % (2107557)Instruction limit reached!
% 16.27/3.38 % (2107557)------------------------------
% 16.27/3.38 % (2107557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107557)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107557)Termination reason: Instruction limit
% 16.27/3.38 % (2107557)Termination phase: Saturation
% 16.27/3.38 % (2107557)Time elapsed: 0.105 s
% 16.27/3.38 % (2107557)Peak memory usage: 88 MB
% 16.27/3.38 % (2107557)Instructions burned: 114 (million)
% 16.27/3.38 % (2107556)------------------------------
% 16.27/3.38 % (2107556)------------------------------
% 16.27/3.38 % (2107563)lrs+10_1_sil=8000:sp=occurrence:random_seed=3588330764:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 16.27/3.38 % (2107566)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3844605643:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 16.27/3.38 % (2107565)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3184521116:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 16.27/3.38 % (2107504)First to succeed.
% 16.27/3.38 % (2107504)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2107486"
% 16.27/3.38 % (2107565)Instruction limit reached!
% 16.27/3.38 % (2107565)------------------------------
% 16.27/3.38 % (2107565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107565)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107565)Termination reason: Instruction limit
% 16.27/3.38 % (2107565)Termination phase: Saturation
% 16.27/3.38 % (2107565)Time elapsed: 0.391 s
% 16.27/3.38 % (2107565)Peak memory usage: 91 MB
% 16.27/3.38 % (2107565)Instructions burned: 437 (million)
% 16.27/3.38 % (2107563)Instruction limit reached!
% 16.27/3.38 % (2107563)------------------------------
% 16.27/3.38 % (2107563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107563)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107563)Termination reason: Instruction limit
% 16.27/3.38 % (2107563)Termination phase: Saturation
% 16.27/3.38 % (2107563)Time elapsed: 0.850 s
% 16.27/3.38 % (2107563)Peak memory usage: 97 MB
% 16.27/3.38 % (2107563)Instructions burned: 908 (million)
% 16.27/3.38 % (2107570)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2065176325:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 16.27/3.38 % (2107570)Refutation not found, incomplete strategy
% 16.27/3.38 % (2107570)------------------------------
% 16.27/3.38 % (2107570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.27/3.38 % (2107570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/3.38 % (2107570)CaDiCaL version: 2.1.3
% 16.27/3.38 % (2107570)Termination reason: Refutation not found, incomplete strategy
% 16.27/3.38 % (2107570)Time elapsed: 0.003 s
% 16.27/3.38 % (2107570)Peak memory usage: 89 MB
% 16.27/3.38 % (2107570)Instructions burned: 1 (million)
% 16.27/3.38 % (2107504)Refutation found. Thanks to Tanya!
% 16.27/3.38 % SZS status Theorem for theBenchmark
% 16.27/3.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/3.61 % (2107504)------------------------------
% 0.18/3.61 % (2107504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/3.61 % (2107504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.61 % (2107504)CaDiCaL version: 2.1.3
% 0.18/3.61 % (2107504)Termination reason: Refutation
% 0.18/3.61 % (2107504)Time elapsed: 1.905 s
% 0.18/3.61 % (2107504)Peak memory usage: 137 MB
% 0.18/3.61 % (2107504)Instructions burned: 1908 (million)
% 0.18/3.61 % (2107504)------------------------------
% 0.18/3.61 % (2107504)------------------------------
% 0.18/3.61 % (2107486)Success in time 2.51 s
% 0.18/3.61 % Vampire exiting
%------------------------------------------------------------------------------