%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL036+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:01 PM UTC 2026
% Result : Theorem 23.08s 4.29s
% Output : Refutation 23.95s
% 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/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( composition(X0,top) = X0
=> 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/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,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)],[f17]) ).
fof(f19,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,[],[f18]) ).
fof(f20,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)],[f19]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != join(composition(meet(sK1,converse(sK0)),sK2),composition(meet(sK1,converse(sK0)),meet(sK0,sK2))),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f33,f24]) ).
fof(f43,plain,
composition(complement(join(complement(sK1),complement(converse(sK0)))),complement(join(complement(sK0),complement(sK2)))) != 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,[],[f38,f24,f24,f24,f24,f24]) ).
fof(f44,definition,
sF3 = complement(sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f45,plain,
complement(sK1) = sF3,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF4 = converse(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f47,plain,
converse(sK0) = sF4,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f49,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF6 = join(sF3,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f51,plain,
join(sF3,sF5) = sF6,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f53,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF8 = complement(sK0),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f55,plain,
complement(sK0) = sF8,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF9 = complement(sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f57,plain,
complement(sK2) = sF9,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF10 = join(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f59,plain,
join(sF8,sF9) = sF10,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f61,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF12 = composition(sF7,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f63,plain,
composition(sF7,sF11) = sF12,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF13 = composition(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f65,plain,
composition(sF7,sK2) = sF13,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF14 = join(sF13,sF12),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f67,plain,
join(sF13,sF12) = sF14,
inference(reorient_equations,[],[f66]) ).
fof(f68,plain,
sF12 != sF14,
inference(definition_folding,[],[f43,f67,f63,f61,f59,f57,f55,f53,f51,f49,f47,f45,f65,f53,f51,f49,f47,f45,f63,f61,f59,f57,f55,f53,f51,f49,f47,f45]) ).
fof(f69,definition,
sF15 = composition(sK0,top),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f70,plain,
composition(sK0,top) = sF15,
inference(reorient_equations,[],[f69]) ).
fof(f71,plain,
sK0 = sF15,
inference(definition_folding,[],[f37,f70]) ).
fof(f72,plain,
sK0 = composition(sK0,top),
inference(forward_demodulation,[],[f70,f71]) ).
fof(f95,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f30,f28]) ).
fof(f112,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f123,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f27,f30]) ).
fof(f140,plain,
complement(top) = join(composition(converse(sK0),complement(sK0)),complement(top)),
inference(superposition,[],[f31,f72]) ).
fof(f153,plain,
complement(top) = join(composition(converse(sK0),sF8),complement(top)),
inference(forward_demodulation,[],[f140,f55]) ).
fof(f155,plain,
complement(top) = join(composition(sF4,sF8),complement(top)),
inference(forward_demodulation,[],[f153,f47]) ).
fof(f257,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(f273,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f341,plain,
zero = complement(top),
inference(superposition,[],[f39,f32]) ).
fof(f575,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f95,f26]) ).
fof(f588,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f575,f28]) ).
fof(f605,plain,
one = converse(one),
inference(superposition,[],[f26,f588]) ).
fof(f614,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f588,f605]) ).
fof(f630,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f614]) ).
fof(f635,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f630,f588]) ).
fof(f656,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f257,f635]) ).
fof(f665,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f656,f23]) ).
fof(f691,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f665,f665]) ).
fof(f696,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f665,f39]) ).
fof(f700,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f273,f665]) ).
fof(f741,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f696]) ).
fof(f845,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f257,f691]) ).
fof(f862,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f845,f39]) ).
fof(f865,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f862,f741]) ).
fof(f872,plain,
! [X0] : join(sK2,X0) = join(complement(sF9),X0),
inference(superposition,[],[f865,f57]) ).
fof(f873,plain,
! [X0] : join(sF4,X0) = join(complement(sF5),X0),
inference(superposition,[],[f865,f49]) ).
fof(f895,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f665,f865]) ).
fof(f912,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f696,f865]) ).
fof(f913,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f912,f696]) ).
fof(f941,plain,
sK2 = complement(sF9),
inference(superposition,[],[f913,f57]) ).
fof(f942,plain,
sF4 = complement(sF5),
inference(superposition,[],[f913,f49]) ).
fof(f956,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f112,f913]) ).
fof(f1035,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f895,f21]) ).
fof(f1182,plain,
complement(sF5) = join(complement(sF5),complement(sF6)),
inference(superposition,[],[f1035,f51]) ).
fof(f1183,plain,
complement(sF9) = join(complement(sF9),complement(sF10)),
inference(superposition,[],[f1035,f59]) ).
fof(f1221,plain,
complement(sF9) = join(sK2,complement(sF10)),
inference(forward_demodulation,[],[f1183,f872]) ).
fof(f1222,plain,
complement(sF5) = join(sF4,complement(sF6)),
inference(forward_demodulation,[],[f1182,f873]) ).
fof(f1238,plain,
complement(sF9) = join(sK2,sF11),
inference(forward_demodulation,[],[f1221,f61]) ).
fof(f1239,plain,
complement(sF5) = join(sF4,sF7),
inference(forward_demodulation,[],[f1222,f53]) ).
fof(f1252,plain,
sK2 = join(sK2,sF11),
inference(forward_demodulation,[],[f1238,f941]) ).
fof(f1253,plain,
sF4 = join(sF4,sF7),
inference(forward_demodulation,[],[f1239,f942]) ).
fof(f1606,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f123,f30]) ).
fof(f1625,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f1606,f29]) ).
fof(f1640,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f1625,f29]) ).
fof(f1648,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f1640,f30]) ).
fof(f1672,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f1648]) ).
fof(f1691,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f1672,f28]) ).
fof(f1738,plain,
! [X0] : composition(sF7,join(sK2,X0)) = join(sF13,composition(sF7,X0)),
inference(superposition,[],[f1691,f65]) ).
fof(f1745,plain,
! [X0] : composition(sF7,join(X0,sF11)) = join(composition(sF7,X0),sF12),
inference(superposition,[],[f1691,f63]) ).
fof(f1794,plain,
composition(sF7,sK2) = join(sF13,composition(sF7,sF11)),
inference(superposition,[],[f1738,f1252]) ).
fof(f1832,plain,
composition(sF7,sK2) = join(sF13,sF12),
inference(forward_demodulation,[],[f1794,f63]) ).
fof(f1839,plain,
composition(sF7,sK2) = sF14,
inference(forward_demodulation,[],[f1832,f67]) ).
fof(f1842,plain,
sF13 = sF14,
inference(forward_demodulation,[],[f1839,f65]) ).
fof(f1843,plain,
sF12 != sF13,
inference(superposition,[],[f68,f1842]) ).
fof(f2095,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f23,f956]) ).
fof(f2120,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f2095,f865]) ).
fof(f2186,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2120,f700]) ).
fof(f2292,plain,
join(complement(sF9),sF8) = join(sF8,complement(sF10)),
inference(superposition,[],[f2186,f59]) ).
fof(f2356,plain,
join(complement(sF9),sF8) = join(sF8,sF11),
inference(forward_demodulation,[],[f2292,f61]) ).
fof(f2394,plain,
join(sF8,sF11) = join(sK2,sF8),
inference(forward_demodulation,[],[f2356,f872]) ).
fof(f2633,plain,
join(sF13,composition(sF7,sF8)) = composition(sF7,join(sF8,sF11)),
inference(superposition,[],[f1738,f2394]) ).
fof(f2649,plain,
join(sF13,composition(sF7,sF8)) = join(composition(sF7,sF8),sF12),
inference(forward_demodulation,[],[f2633,f1745]) ).
fof(f14570,plain,
zero = join(composition(sF4,sF8),zero),
inference(superposition,[],[f155,f341]) ).
fof(f14625,plain,
zero = composition(sF4,sF8),
inference(forward_demodulation,[],[f14570,f696]) ).
fof(f14664,plain,
! [X0] : composition(join(sF4,X0),sF8) = join(zero,composition(X0,sF8)),
inference(superposition,[],[f27,f14625]) ).
fof(f14683,plain,
! [X0] : composition(X0,sF8) = composition(join(sF4,X0),sF8),
inference(forward_demodulation,[],[f14664,f741]) ).
fof(f14902,plain,
composition(sF4,sF8) = composition(sF7,sF8),
inference(superposition,[],[f14683,f1253]) ).
fof(f14963,plain,
zero = composition(sF7,sF8),
inference(forward_demodulation,[],[f14902,f14625]) ).
fof(f15103,plain,
! [X0] : composition(sF7,join(sF8,X0)) = join(zero,composition(sF7,X0)),
inference(superposition,[],[f1691,f14963]) ).
fof(f15106,plain,
! [X0] : composition(sF7,X0) = composition(sF7,join(sF8,X0)),
inference(forward_demodulation,[],[f15103,f741]) ).
fof(f15547,plain,
composition(sF7,sF11) = join(composition(sF7,sF8),sF12),
inference(superposition,[],[f1745,f15106]) ).
fof(f15572,plain,
composition(sF7,sF11) = join(sF13,composition(sF7,sF8)),
inference(forward_demodulation,[],[f15547,f2649]) ).
fof(f15598,plain,
composition(sF7,sF11) = join(sF13,zero),
inference(forward_demodulation,[],[f15572,f14963]) ).
fof(f15607,plain,
composition(sF7,sF11) = sF13,
inference(forward_demodulation,[],[f15598,f696]) ).
fof(f15612,plain,
sF12 = sF13,
inference(forward_demodulation,[],[f15607,f63]) ).
fof(f15615,plain,
$false,
inference(forward_subsumption_resolution,[],[f15612,f1843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL036+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n009.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 27 22:55:30 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.48 Running first-order theorem proving
% 0.24/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.24/3.97 % (2496860)Detected formulas, will run a generic FOF schedule.
% 20.24/3.97 % (2496868)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=221322714:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 20.24/3.97 % (2496870)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4026131440:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 20.24/3.97 % (2496870)Instruction limit reached!
% 20.24/3.97 % (2496870)------------------------------
% 20.24/3.97 % (2496870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.97 % (2496870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.97 % (2496870)CaDiCaL version: 2.1.3
% 20.24/3.97 % (2496870)Termination reason: Instruction limit
% 20.24/3.97 % (2496870)Termination phase: Saturation
% 20.24/3.97 % (2496870)Time elapsed: 0.104 s
% 20.24/3.97 % (2496870)Peak memory usage: 89 MB
% 20.24/3.97 % (2496870)Instructions burned: 109 (million)
% 20.24/3.97 % (2496867)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=2301645658:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 20.24/3.97 % (2496869)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=3815165181:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 20.24/3.97 % (2496873)dis-21_1_sil=8000:lcm=predicate:random_seed=565718180: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)
% 20.24/3.97 % (2496871)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4089668249:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 20.24/3.97 % (2496873)Refutation not found, incomplete strategy
% 20.24/3.97 % (2496873)------------------------------
% 20.24/3.97 % (2496873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.97 % (2496873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.97 % (2496873)CaDiCaL version: 2.1.3
% 20.24/3.97 % (2496873)Termination reason: Refutation not found, incomplete strategy
% 20.24/3.97 % (2496873)Time elapsed: 0.003 s
% 20.24/3.97 % (2496873)Peak memory usage: 88 MB
% 20.24/3.97 % (2496873)Instructions burned: 1 (million)
% 20.24/3.97 % (2496872)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=696016746:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 20.24/3.97 % (2496871)Instruction limit reached!
% 20.24/3.97 % (2496871)------------------------------
% 20.24/3.97 % (2496871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.97 % (2496871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.97 % (2496871)CaDiCaL version: 2.1.3
% 20.24/3.97 % (2496871)Termination reason: Instruction limit
% 20.24/3.97 % (2496871)Termination phase: Saturation
% 20.24/3.97 % (2496871)Time elapsed: 0.113 s
% 20.24/3.97 % (2496871)Peak memory usage: 89 MB
% 20.24/3.97 % (2496871)Instructions burned: 120 (million)
% 20.24/3.97 % (2496872)Instruction limit reached!
% 20.24/3.97 % (2496872)------------------------------
% 20.24/3.97 % (2496872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.97 % (2496872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.97 % (2496872)CaDiCaL version: 2.1.3
% 20.24/3.97 % (2496872)Termination reason: Instruction limit
% 20.24/3.97 % (2496872)Termination phase: Saturation
% 20.24/3.97 % (2496872)Time elapsed: 0.133 s
% 20.24/3.97 % (2496872)Peak memory usage: 90 MB
% 20.24/3.97 % (2496872)Instructions burned: 139 (million)
% 20.24/3.97 % (2496878)lrs+10_1_sil=8000:sp=occurrence:random_seed=4227923543:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 20.24/3.97 % (2496873)------------------------------
% 20.24/3.97 % (2496873)------------------------------
% 20.24/3.97 % (2496882)lrs+10_1_sil=32000:urr=on:br=off:random_seed=65435645:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 20.24/3.97 % (2496878)Instruction limit reached!
% 20.24/3.97 % (2496878)------------------------------
% 20.24/3.97 % (2496878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.24/3.97 % (2496878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.24/3.97 % (2496878)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496878)Termination reason: Instruction limit
% 23.08/4.29 % (2496878)Termination phase: Saturation
% 23.08/4.29 % (2496878)Time elapsed: 0.256 s
% 23.08/4.29 % (2496878)Peak memory usage: 91 MB
% 23.08/4.29 % (2496878)Instructions burned: 286 (million)
% 23.08/4.29 % (2496883)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2277458980:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 23.08/4.29 % (2496882)Instruction limit reached!
% 23.08/4.29 % (2496882)------------------------------
% 23.08/4.29 % (2496882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496882)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496882)Termination reason: Instruction limit
% 23.08/4.29 % (2496882)Termination phase: Saturation
% 23.08/4.29 % (2496882)Time elapsed: 0.138 s
% 23.08/4.29 % (2496882)Peak memory usage: 90 MB
% 23.08/4.29 % (2496882)Instructions burned: 157 (million)
% 23.08/4.29 % (2496886)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=858958330:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 23.08/4.29 % (2496887)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2737790122:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 23.08/4.29 % (2496886)Instruction limit reached!
% 23.08/4.29 % (2496886)------------------------------
% 23.08/4.29 % (2496886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496886)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496886)Termination reason: Instruction limit
% 23.08/4.29 % (2496886)Termination phase: Saturation
% 23.08/4.29 % (2496886)Time elapsed: 0.133 s
% 23.08/4.29 % (2496886)Peak memory usage: 92 MB
% 23.08/4.29 % (2496886)Instructions burned: 248 (million)
% 23.08/4.29 % (2496889)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=999732295:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 23.08/4.29 % (2496883)Instruction limit reached!
% 23.08/4.29 % (2496883)------------------------------
% 23.08/4.29 % (2496883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496883)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496883)Termination reason: Instruction limit
% 23.08/4.29 % (2496883)Termination phase: Saturation
% 23.08/4.29 % (2496883)Time elapsed: 0.323 s
% 23.08/4.29 % (2496883)Peak memory usage: 92 MB
% 23.08/4.29 % (2496883)Instructions burned: 325 (million)
% 23.08/4.29 % (2496892)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=450915062:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 23.08/4.29 % (2496887)Instruction limit reached!
% 23.08/4.29 % (2496887)------------------------------
% 23.08/4.29 % (2496887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496887)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496887)Termination reason: Instruction limit
% 23.08/4.29 % (2496887)Termination phase: Saturation
% 23.08/4.29 % (2496887)Time elapsed: 0.278 s
% 23.08/4.29 % (2496887)Peak memory usage: 92 MB
% 23.08/4.29 % (2496887)Instructions burned: 294 (million)
% 23.08/4.29 % (2496894)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3082771042:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 23.08/4.29 % (2496894)Refutation not found, incomplete strategy
% 23.08/4.29 % (2496894)------------------------------
% 23.08/4.29 % (2496894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496894)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496894)Termination reason: Refutation not found, incomplete strategy
% 23.08/4.29 % (2496894)Time elapsed: 0.001 s
% 23.08/4.29 % (2496894)Peak memory usage: 88 MB
% 23.08/4.29 % (2496894)Instructions burned: 1 (million)
% 23.08/4.29 % (2496892)Instruction limit reached!
% 23.08/4.29 % (2496892)------------------------------
% 23.08/4.29 % (2496892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496892)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496892)Termination reason: Instruction limit
% 23.08/4.29 % (2496892)Termination phase: Saturation
% 23.08/4.29 % (2496892)Time elapsed: 0.117 s
% 23.08/4.29 % (2496892)Peak memory usage: 90 MB
% 23.08/4.29 % (2496892)Instructions burned: 113 (million)
% 23.08/4.29 % (2496894)------------------------------
% 23.08/4.29 % (2496894)------------------------------
% 23.08/4.29 % (2496896)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4055832653:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 23.08/4.29 % (2496898)lrs+10_1_sil=8000:sp=occurrence:random_seed=2156585389:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 23.08/4.29 % (2496896)Instruction limit reached!
% 23.08/4.29 % (2496896)------------------------------
% 23.08/4.29 % (2496896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496896)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496896)Termination reason: Instruction limit
% 23.08/4.29 % (2496896)Termination phase: Saturation
% 23.08/4.29 % (2496896)Time elapsed: 0.110 s
% 23.08/4.29 % (2496896)Peak memory usage: 89 MB
% 23.08/4.29 % (2496896)Instructions burned: 114 (million)
% 23.08/4.29 % (2496899)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=894794000:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 23.08/4.29 % (2496899)Instruction limit reached!
% 23.08/4.29 % (2496899)------------------------------
% 23.08/4.29 % (2496899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496899)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496899)Termination reason: Instruction limit
% 23.08/4.29 % (2496899)Termination phase: Saturation
% 23.08/4.29 % (2496899)Time elapsed: 0.207 s
% 23.08/4.29 % (2496899)Peak memory usage: 91 MB
% 23.08/4.29 % (2496899)Instructions burned: 439 (million)
% 23.08/4.29 % (2496902)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=524681606:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 23.08/4.29 % (2496904)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3837898632:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 23.08/4.29 % (2496904)Refutation not found, incomplete strategy
% 23.08/4.29 % (2496904)------------------------------
% 23.08/4.29 % (2496904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496904)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496904)Termination reason: Refutation not found, incomplete strategy
% 23.08/4.29 % (2496904)Time elapsed: 0.002 s
% 23.08/4.29 % (2496904)Peak memory usage: 89 MB
% 23.08/4.29 % (2496904)Instructions burned: 2 (million)
% 23.08/4.29 % (2496904)------------------------------
% 23.08/4.29 % (2496904)------------------------------
% 23.08/4.29 % (2496898)Instruction limit reached!
% 23.08/4.29 % (2496898)------------------------------
% 23.08/4.29 % (2496898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496898)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496898)Termination reason: Instruction limit
% 23.08/4.29 % (2496898)Termination phase: Saturation
% 23.08/4.29 % (2496898)Time elapsed: 0.900 s
% 23.08/4.29 % (2496898)Peak memory usage: 97 MB
% 23.08/4.29 % (2496898)Instructions burned: 907 (million)
% 23.08/4.29 % (2496907)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2823442563:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 23.08/4.29 % (2496867)First to succeed.
% 23.08/4.29 % (2496867)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2496860"
% 23.08/4.29 % (2496908)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4090646610:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 23.08/4.29 % (2496907)Instruction limit reached!
% 23.08/4.29 % (2496907)------------------------------
% 23.08/4.29 % (2496907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.08/4.29 % (2496907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.29 % (2496907)CaDiCaL version: 2.1.3
% 23.08/4.29 % (2496907)Termination reason: Instruction limit
% 23.08/4.29 % (2496907)Termination phase: Saturation
% 23.08/4.29 % (2496907)Time elapsed: 0.262 s
% 23.08/4.29 % (2496907)Peak memory usage: 90 MB
% 23.08/4.29 % (2496907)Instructions burned: 593 (million)
% 23.08/4.29 % (2496911)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=333114292:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 23.08/4.29 % (2496867)Refutation found. Thanks to Tanya!
% 23.08/4.29 % SZS status Theorem for theBenchmark
% 23.08/4.29 % SZS output start Proof for theBenchmark
% See solution above
% 23.95/4.53 % (2496867)------------------------------
% 23.95/4.53 % (2496867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.53 % (2496867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.53 % (2496867)CaDiCaL version: 2.1.3
% 23.95/4.53 % (2496867)Termination reason: Refutation
% 23.95/4.53 % (2496867)Time elapsed: 2.564 s
% 23.95/4.53 % (2496867)Peak memory usage: 143 MB
% 23.95/4.53 % (2496867)Instructions burned: 2554 (million)
% 23.95/4.53 % (2496867)------------------------------
% 23.95/4.53 % (2496867)------------------------------
% 23.95/4.53 % (2496860)Success in time 3.267 s
% 23.95/4.53 % Vampire exiting
%------------------------------------------------------------------------------