%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL025+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 : n012.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 12:33:50 PM UTC 2026
% Result : Theorem 6.90s 1.69s
% Output : Refutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 13
% Syntax : Number of formulae : 206 ( 202 unt; 0 def)
% Number of atoms : 210 ( 209 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 301 ( 300 !; 1 ?)
% 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] :
( join(X0,one) = one
=> converse(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] :
( join(X0,one) = one
=> converse(X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] :
( converse(X0) != X0
& join(X0,one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( sK0 != converse(sK0)
& one = join(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
one = join(sK0,one),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
sK0 != converse(sK0),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f33,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f24]) ).
fof(f34,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f25,f27]) ).
fof(f35,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f21,f27]) ).
fof(f36,plain,
one = join(one,sK0),
inference(forward_demodulation,[],[f18,f27]) ).
fof(f37,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f22,f30]) ).
fof(f38,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f22,f30]) ).
fof(f80,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f30]) ).
fof(f83,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f37,f20]) ).
fof(f86,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f26,f20]) ).
fof(f94,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f27,f26]) ).
fof(f109,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(superposition,[],[f34,f27]) ).
fof(f111,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f34,f34]) ).
fof(f112,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
inference(superposition,[],[f34,f20]) ).
fof(f114,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f34,f27]) ).
fof(f115,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f26,f34]) ).
fof(f116,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f112,f27]) ).
fof(f117,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f111,f27]) ).
fof(f118,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f117,f27]) ).
fof(f119,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f118,f26]) ).
fof(f147,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f80,f28]) ).
fof(f165,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f147,f30]) ).
fof(f177,plain,
one = converse(one),
inference(superposition,[],[f28,f165]) ).
fof(f183,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f165,f177]) ).
fof(f190,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(superposition,[],[f37,f177]) ).
fof(f200,plain,
! [X0] : complement(X0) = join(complement(X0),composition(converse(one),complement(X0))),
inference(superposition,[],[f35,f183]) ).
fof(f203,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f200,f165]) ).
fof(f215,plain,
zero = complement(top),
inference(superposition,[],[f33,f20]) ).
fof(f250,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f23,f29]) ).
fof(f373,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f86,f203]) ).
fof(f375,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f86,f27]) ).
fof(f395,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f373,f20]) ).
fof(f499,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(top,complement(join(complement(X0),complement(X0)))))),
inference(superposition,[],[f119,f86]) ).
fof(f516,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f499,f395]) ).
fof(f530,plain,
! [X0] : join(complement(X0),complement(X0)) = join(complement(X0),zero),
inference(forward_demodulation,[],[f516,f215]) ).
fof(f537,plain,
! [X0] : join(complement(X0),complement(X0)) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f530,f27]) ).
fof(f542,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f537,f203]) ).
fof(f563,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f116,f215]) ).
fof(f571,plain,
! [X0] : join(top,X0) = join(top,complement(join(complement(X0),complement(X0)))),
inference(superposition,[],[f86,f116]) ).
fof(f580,plain,
! [X0] : top = join(top,X0),
inference(forward_demodulation,[],[f571,f395]) ).
fof(f587,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(forward_demodulation,[],[f563,f542]) ).
fof(f598,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f587,f203]) ).
fof(f624,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f34,f598]) ).
fof(f629,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f114,f598]) ).
fof(f633,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f203,f598]) ).
fof(f635,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f542,f598]) ).
fof(f657,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f27,f635]) ).
fof(f684,plain,
top = converse(top),
inference(superposition,[],[f83,f580]) ).
fof(f759,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f624,f27]) ).
fof(f1640,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f115,f109]) ).
fof(f1641,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f115,f34]) ).
fof(f1648,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f115,f633]) ).
fof(f1688,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f1648,f34]) ).
fof(f1695,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),complement(complement(X1))))),
inference(forward_demodulation,[],[f1641,f27]) ).
fof(f1696,plain,
! [X0,X1] : join(X1,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1640,f27]) ).
fof(f1752,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f1695,f1688]) ).
fof(f1753,plain,
! [X0,X1] : join(X0,complement(join(complement(X1),X0))) = join(X1,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1696,f598]) ).
fof(f1911,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f1752,f598]) ).
fof(f1918,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f1752,f624]) ).
fof(f1928,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f1752,f27]) ).
fof(f2001,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f1918,f26]) ).
fof(f2025,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f2001,f598]) ).
fof(f2338,plain,
! [X2,X0,X1] : join(X2,X0) = join(X0,join(complement(join(X1,complement(X0))),X2)),
inference(superposition,[],[f94,f1928]) ).
fof(f2904,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f629,f27]) ).
fof(f2965,plain,
! [X2,X0,X1] : complement(join(complement(join(complement(X0),complement(X2))),X1)) = join(complement(join(join(complement(join(complement(X0),complement(X2))),X1),join(complement(X0),X2))),complement(join(X0,X1))),
inference(superposition,[],[f629,f115]) ).
fof(f2971,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(join(X1,complement(X0)),X0)),complement(join(complement(X0),X1))),
inference(superposition,[],[f629,f2025]) ).
fof(f3000,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f109,f629]) ).
fof(f3015,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f3000,f598]) ).
fof(f3040,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(join(X1,complement(X0)),X0))),
inference(forward_demodulation,[],[f2971,f27]) ).
fof(f3044,plain,
! [X2,X0,X1] : complement(join(complement(join(complement(X0),complement(X2))),X1)) = join(complement(join(X0,X1)),complement(join(join(complement(join(complement(X0),complement(X2))),X1),join(complement(X0),X2)))),
inference(forward_demodulation,[],[f2965,f27]) ).
fof(f3092,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f3015,f27]) ).
fof(f3116,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(X0,join(X1,complement(X0))))),
inference(forward_demodulation,[],[f3040,f27]) ).
fof(f3117,plain,
! [X2,X0,X1] : complement(join(complement(join(complement(X0),complement(X2))),X1)) = join(complement(join(X0,X1)),complement(join(join(complement(X0),X2),join(complement(join(complement(X0),complement(X2))),X1)))),
inference(forward_demodulation,[],[f3044,f27]) ).
fof(f3161,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f3092,f26]) ).
fof(f3183,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(top,X1))),
inference(forward_demodulation,[],[f3116,f375]) ).
fof(f3184,plain,
! [X2,X0,X1] : complement(join(complement(join(complement(X0),complement(X2))),X1)) = join(complement(join(X0,X1)),complement(join(complement(X0),join(X2,join(complement(join(complement(X0),complement(X2))),X1))))),
inference(forward_demodulation,[],[f3117,f26]) ).
fof(f3221,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f3161,f1752]) ).
fof(f3238,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(top,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3183,f27]) ).
fof(f3239,plain,
! [X2,X0,X1] : complement(join(complement(join(complement(X0),complement(X2))),X1)) = join(complement(join(X0,X1)),complement(join(complement(X0),join(X1,X2)))),
inference(forward_demodulation,[],[f3184,f2338]) ).
fof(f3266,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f3221,f598]) ).
fof(f3277,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(top),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3238,f580]) ).
fof(f3295,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(zero,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3277,f215]) ).
fof(f3309,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f3295,f542]) ).
fof(f3321,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f3266,f27]) ).
fof(f3332,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f3266,f83]) ).
fof(f3470,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(forward_demodulation,[],[f3332,f27]) ).
fof(f3526,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(top)),
inference(forward_demodulation,[],[f3470,f684]) ).
fof(f3566,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f3526,f215]) ).
fof(f3599,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f3566,f657]) ).
fof(f3667,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(join(complement(converse(complement(converse(complement(X0))))),X0)),complement(complement(X0))),
inference(superposition,[],[f114,f3599]) ).
fof(f3678,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f37,f3599]) ).
fof(f3687,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3678,f30]) ).
fof(f3696,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f3667,f27]) ).
fof(f3716,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f3696,f3309]) ).
fof(f3727,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f3716,f598]) ).
fof(f3732,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(converse(complement(converse(complement(X0)))))),X0),
inference(forward_demodulation,[],[f3727,f3266]) ).
fof(f3736,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f3732,f27]) ).
fof(f3739,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f3736,f598]) ).
fof(f3742,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f3739,f3687]) ).
fof(f4634,plain,
! [X0,X1] : complement(join(X1,X0)) = join(complement(join(X0,X1)),complement(join(complement(X0),join(X1,X0)))),
inference(superposition,[],[f2904,f2025]) ).
fof(f4850,plain,
! [X0,X1] : complement(join(X1,X0)) = complement(join(complement(join(complement(X0),complement(X0))),X1)),
inference(forward_demodulation,[],[f4634,f3239]) ).
fof(f4939,plain,
! [X0,X1] : complement(join(complement(complement(X0)),X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f4850,f633]) ).
fof(f5013,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f4939,f598]) ).
fof(f6193,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(X0))) = join(complement(complement(join(X0,complement(X1)))),complement(join(X1,X0))),
inference(superposition,[],[f3266,f759]) ).
fof(f6196,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(X0))) = join(complement(join(X1,X0)),complement(complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f6193,f27]) ).
fof(f6302,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(X0))) = join(complement(join(X1,X0)),join(X0,complement(X1))),
inference(forward_demodulation,[],[f6196,f598]) ).
fof(f6389,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(X0))) = join(join(X0,complement(X1)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f6302,f27]) ).
fof(f6468,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(X0))) = join(X0,join(complement(X1),complement(join(X1,X0)))),
inference(forward_demodulation,[],[f6389,f26]) ).
fof(f6525,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(X1,X0)),complement(complement(X0))),
inference(forward_demodulation,[],[f6468,f1911]) ).
fof(f6567,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f6525,f27]) ).
fof(f6601,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f6567,f598]) ).
fof(f6683,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f6601,f5013]) ).
fof(f8293,plain,
! [X2,X0,X1] : join(join(X1,X0),complement(join(complement(X2),join(X1,X0)))) = join(X2,complement(join(complement(join(X0,X1)),X2))),
inference(superposition,[],[f1753,f5013]) ).
fof(f8635,plain,
! [X2,X0,X1] : join(join(X1,X0),complement(join(complement(X2),join(X1,X0)))) = join(complement(complement(join(X0,X1))),X2),
inference(forward_demodulation,[],[f8293,f3321]) ).
fof(f8873,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X1,X0),complement(join(complement(X2),join(X1,X0)))),
inference(forward_demodulation,[],[f8635,f598]) ).
fof(f9090,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(complement(complement(X2)),join(X1,X0)),
inference(forward_demodulation,[],[f8873,f3321]) ).
fof(f9288,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X2,join(X1,X0)),
inference(forward_demodulation,[],[f9090,f598]) ).
fof(f13035,plain,
! [X2,X0,X1] : converse(join(join(X0,X1),converse(X2))) = join(X2,converse(join(X1,X0))),
inference(superposition,[],[f37,f9288]) ).
fof(f13036,plain,
! [X2,X0,X1] : join(converse(join(X0,X1)),X2) = join(X2,converse(join(X1,X0))),
inference(forward_demodulation,[],[f13035,f38]) ).
fof(f13554,plain,
! [X0] : join(converse(one),X0) = join(X0,converse(join(sK0,one))),
inference(superposition,[],[f13036,f36]) ).
fof(f13678,plain,
! [X2,X0,X1] : join(X0,converse(join(X1,X2))) = join(X0,converse(join(X2,X1))),
inference(superposition,[],[f27,f13036]) ).
fof(f13915,plain,
! [X0] : join(converse(one),X0) = join(X0,converse(join(one,sK0))),
inference(forward_demodulation,[],[f13554,f13678]) ).
fof(f14065,plain,
! [X0] : join(converse(one),X0) = join(X0,join(one,converse(sK0))),
inference(forward_demodulation,[],[f13915,f190]) ).
fof(f14166,plain,
! [X0] : join(one,X0) = join(X0,join(one,converse(sK0))),
inference(forward_demodulation,[],[f14065,f177]) ).
fof(f14357,plain,
join(one,zero) = join(one,converse(sK0)),
inference(superposition,[],[f635,f14166]) ).
fof(f14358,plain,
one = join(one,converse(sK0)),
inference(forward_demodulation,[],[f14357,f657]) ).
fof(f15450,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f250,f29]) ).
fof(f15508,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f15450,f22]) ).
fof(f15539,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f15508,f22]) ).
fof(f15558,plain,
! [X2,X0,X1] : converse(composition(X0,join(X2,X1))) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f15539,f29]) ).
fof(f15604,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f30,f15558]) ).
fof(f15646,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f15604,f30]) ).
fof(f15704,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f15646,f28]) ).
fof(f15796,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,converse(sK0))),
inference(superposition,[],[f15704,f14358]) ).
fof(f15809,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f15704,f20]) ).
fof(f15934,plain,
! [X0] : join(X0,composition(X0,converse(sK0))) = X0,
inference(forward_demodulation,[],[f15796,f28]) ).
fof(f16317,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),converse(sK0)))),
inference(superposition,[],[f37,f15934]) ).
fof(f16321,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(converse(sK0)),X0)),
inference(forward_demodulation,[],[f16317,f80]) ).
fof(f16363,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(sK0,X0)),
inference(forward_demodulation,[],[f16321,f30]) ).
fof(f16390,plain,
! [X0] : join(X0,composition(sK0,X0)) = X0,
inference(forward_demodulation,[],[f16363,f30]) ).
fof(f16419,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(composition(sK0,X0),X1)),
inference(superposition,[],[f26,f16390]) ).
fof(f16454,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(join(X0,composition(sK0,complement(X0)))),complement(complement(X0))),
inference(superposition,[],[f2904,f16390]) ).
fof(f16470,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f16454,f27]) ).
fof(f16498,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(join(X0,composition(sK0,complement(X0))))),
inference(forward_demodulation,[],[f16470,f598]) ).
fof(f16513,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),X0),
inference(forward_demodulation,[],[f16498,f3266]) ).
fof(f16519,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f16513,f27]) ).
fof(f16530,plain,
! [X0,X1] : join(X0,composition(sK0,join(X0,X1))) = join(X0,composition(sK0,X1)),
inference(superposition,[],[f16419,f15646]) ).
fof(f16783,plain,
! [X0] : join(X0,composition(sK0,complement(X0))) = join(X0,composition(sK0,top)),
inference(superposition,[],[f16530,f20]) ).
fof(f17144,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(X0,complement(join(X0,composition(sK0,top)))),
inference(superposition,[],[f6683,f16783]) ).
fof(f17205,plain,
! [X0] : join(X0,complement(composition(sK0,complement(X0)))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f17144,f3266]) ).
fof(f17253,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,top)),X0),
inference(forward_demodulation,[],[f17205,f16519]) ).
fof(f17679,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(X0,complement(composition(sK0,top))),
inference(superposition,[],[f27,f17253]) ).
fof(f17722,plain,
top = complement(composition(sK0,complement(complement(complement(composition(sK0,top)))))),
inference(superposition,[],[f20,f17253]) ).
fof(f17783,plain,
top = complement(composition(sK0,complement(composition(sK0,top)))),
inference(forward_demodulation,[],[f17722,f598]) ).
fof(f19253,plain,
complement(complement(composition(sK0,top))) = join(complement(complement(composition(sK0,top))),composition(converse(sK0),top)),
inference(superposition,[],[f35,f17783]) ).
fof(f19339,plain,
complement(complement(composition(sK0,top))) = join(composition(converse(sK0),top),complement(complement(composition(sK0,top)))),
inference(forward_demodulation,[],[f19253,f27]) ).
fof(f19370,plain,
composition(sK0,top) = join(composition(converse(sK0),top),composition(sK0,top)),
inference(forward_demodulation,[],[f19339,f598]) ).
fof(f19392,plain,
composition(sK0,top) = join(composition(sK0,top),composition(converse(sK0),top)),
inference(forward_demodulation,[],[f19370,f27]) ).
fof(f19408,plain,
composition(sK0,top) = composition(join(sK0,converse(sK0)),top),
inference(forward_demodulation,[],[f19392,f23]) ).
fof(f24185,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(X0,top))),
inference(superposition,[],[f1911,f15809]) ).
fof(f24736,plain,
complement(join(sK0,converse(sK0))) = join(complement(join(sK0,converse(sK0))),complement(composition(sK0,top))),
inference(superposition,[],[f24185,f19408]) ).
fof(f24767,plain,
complement(sK0) = complement(composition(sK0,complement(complement(sK0)))),
inference(superposition,[],[f17679,f24185]) ).
fof(f24822,plain,
complement(sK0) = complement(composition(sK0,sK0)),
inference(forward_demodulation,[],[f24767,f598]) ).
fof(f24849,plain,
complement(join(sK0,converse(sK0))) = join(complement(composition(sK0,top)),complement(join(sK0,converse(sK0)))),
inference(forward_demodulation,[],[f24736,f27]) ).
fof(f24886,plain,
complement(join(sK0,converse(sK0))) = complement(composition(sK0,complement(complement(join(sK0,converse(sK0)))))),
inference(forward_demodulation,[],[f24849,f17253]) ).
fof(f24910,plain,
complement(join(sK0,converse(sK0))) = complement(composition(sK0,join(sK0,converse(sK0)))),
inference(forward_demodulation,[],[f24886,f598]) ).
fof(f24975,plain,
composition(sK0,sK0) = converse(complement(converse(complement(sK0)))),
inference(superposition,[],[f3742,f24822]) ).
fof(f25005,plain,
sK0 = composition(sK0,sK0),
inference(forward_demodulation,[],[f24975,f3742]) ).
fof(f25099,plain,
! [X0] : join(sK0,composition(sK0,X0)) = composition(sK0,join(sK0,X0)),
inference(superposition,[],[f15646,f25005]) ).
fof(f25256,plain,
composition(sK0,join(sK0,converse(sK0))) = converse(complement(converse(complement(join(sK0,converse(sK0)))))),
inference(superposition,[],[f3742,f24910]) ).
fof(f25291,plain,
join(sK0,converse(sK0)) = composition(sK0,join(sK0,converse(sK0))),
inference(forward_demodulation,[],[f25256,f3742]) ).
fof(f25339,plain,
join(sK0,composition(sK0,converse(sK0))) = join(sK0,converse(sK0)),
inference(forward_demodulation,[],[f25291,f25099]) ).
fof(f25384,plain,
sK0 = join(sK0,converse(sK0)),
inference(forward_demodulation,[],[f25339,f15934]) ).
fof(f25554,plain,
converse(sK0) = join(converse(sK0),sK0),
inference(superposition,[],[f38,f25384]) ).
fof(f25597,plain,
converse(sK0) = join(sK0,converse(sK0)),
inference(forward_demodulation,[],[f25554,f27]) ).
fof(f25607,plain,
sK0 = converse(sK0),
inference(forward_demodulation,[],[f25597,f25384]) ).
fof(f25611,plain,
$false,
inference(forward_subsumption_resolution,[],[f25607,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : REL025+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 22:52:04 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 6.90/1.69 % (2842316)Detected formulas, will run a generic FOF schedule.
% 6.90/1.69 % (2842322)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=2247284714:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.90/1.69 % (2842324)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1187294521:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.90/1.69 % (2842326)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=232819702:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.90/1.69 % (2842325)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4151508436:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.90/1.69 % (2842327)dis-21_1_sil=8000:lcm=predicate:random_seed=1525255651: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)
% 6.90/1.69 % (2842321)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=3079518067:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.90/1.69 % (2842323)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=4093616673:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.90/1.69 % (2842327)Refutation not found, incomplete strategy
% 6.90/1.69 % (2842327)------------------------------
% 6.90/1.69 % (2842327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842327)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842327)Termination reason: Refutation not found, incomplete strategy
% 6.90/1.69 % (2842327)Time elapsed: 0.001 s
% 6.90/1.69 % (2842327)Peak memory usage: 88 MB
% 6.90/1.69 % (2842327)Instructions burned: 1 (million)
% 6.90/1.69 % (2842324)Instruction limit reached!
% 6.90/1.69 % (2842324)------------------------------
% 6.90/1.69 % (2842324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842324)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842324)Termination reason: Instruction limit
% 6.90/1.69 % (2842324)Termination phase: Saturation
% 6.90/1.69 % (2842324)Time elapsed: 0.033 s
% 6.90/1.69 % (2842324)Peak memory usage: 88 MB
% 6.90/1.69 % (2842324)Instructions burned: 110 (million)
% 6.90/1.69 % (2842325)Instruction limit reached!
% 6.90/1.69 % (2842325)------------------------------
% 6.90/1.69 % (2842325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842325)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842325)Termination reason: Instruction limit
% 6.90/1.69 % (2842325)Termination phase: Saturation
% 6.90/1.69 % (2842325)Time elapsed: 0.036 s
% 6.90/1.69 % (2842325)Peak memory usage: 88 MB
% 6.90/1.69 % (2842325)Instructions burned: 121 (million)
% 6.90/1.69 % (2842326)Instruction limit reached!
% 6.90/1.69 % (2842326)------------------------------
% 6.90/1.69 % (2842326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842326)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842326)Termination reason: Instruction limit
% 6.90/1.69 % (2842326)Termination phase: Saturation
% 6.90/1.69 % (2842326)Time elapsed: 0.044 s
% 6.90/1.69 % (2842326)Peak memory usage: 89 MB
% 6.90/1.69 % (2842326)Instructions burned: 142 (million)
% 6.90/1.69 % (2842335)lrs+10_1_sil=8000:sp=occurrence:random_seed=521401136:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.90/1.69 % (2842336)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2159445431:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 6.90/1.69 % (2842337)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4210990400:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 6.90/1.69 % (2842327)------------------------------
% 6.90/1.69 % (2842327)------------------------------
% 6.90/1.69 % (2842336)Instruction limit reached!
% 6.90/1.69 % (2842336)------------------------------
% 6.90/1.69 % (2842336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842336)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842336)Termination reason: Instruction limit
% 6.90/1.69 % (2842336)Termination phase: Saturation
% 6.90/1.69 % (2842336)Time elapsed: 0.047 s
% 6.90/1.69 % (2842336)Peak memory usage: 89 MB
% 6.90/1.69 % (2842336)Instructions burned: 157 (million)
% 6.90/1.69 % (2842335)Instruction limit reached!
% 6.90/1.69 % (2842335)------------------------------
% 6.90/1.69 % (2842335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842335)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842335)Termination reason: Instruction limit
% 6.90/1.69 % (2842335)Termination phase: Saturation
% 6.90/1.69 % (2842335)Time elapsed: 0.094 s
% 6.90/1.69 % (2842335)Peak memory usage: 91 MB
% 6.90/1.69 % (2842335)Instructions burned: 287 (million)
% 6.90/1.69 % (2842341)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=277608096:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.90/1.69 % (2842337)Instruction limit reached!
% 6.90/1.69 % (2842337)------------------------------
% 6.90/1.69 % (2842337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842337)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842337)Termination reason: Instruction limit
% 6.90/1.69 % (2842337)Termination phase: Saturation
% 6.90/1.69 % (2842337)Time elapsed: 0.108 s
% 6.90/1.69 % (2842337)Peak memory usage: 91 MB
% 6.90/1.69 % (2842337)Instructions burned: 326 (million)
% 6.90/1.69 % (2842342)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3595249042:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 6.90/1.69 % (2842343)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1431758266:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 6.90/1.69 % (2842341)Instruction limit reached!
% 6.90/1.69 % (2842341)------------------------------
% 6.90/1.69 % (2842341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842341)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842341)Termination reason: Instruction limit
% 6.90/1.69 % (2842341)Termination phase: Saturation
% 6.90/1.69 % (2842341)Time elapsed: 0.082 s
% 6.90/1.69 % (2842341)Peak memory usage: 91 MB
% 6.90/1.69 % (2842341)Instructions burned: 248 (million)
% 6.90/1.69 % (2842345)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2443164383:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 6.90/1.69 % (2842342)Instruction limit reached!
% 6.90/1.69 % (2842342)------------------------------
% 6.90/1.69 % (2842342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842342)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842342)Termination reason: Instruction limit
% 6.90/1.69 % (2842342)Termination phase: Saturation
% 6.90/1.69 % (2842342)Time elapsed: 0.093 s
% 6.90/1.69 % (2842342)Peak memory usage: 90 MB
% 6.90/1.69 % (2842342)Instructions burned: 295 (million)
% 6.90/1.69 % (2842345)Instruction limit reached!
% 6.90/1.69 % (2842345)------------------------------
% 6.90/1.69 % (2842345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842345)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842345)Termination reason: Instruction limit
% 6.90/1.69 % (2842345)Termination phase: Saturation
% 6.90/1.69 % (2842345)Time elapsed: 0.036 s
% 6.90/1.69 % (2842345)Peak memory usage: 89 MB
% 6.90/1.69 % (2842345)Instructions burned: 115 (million)
% 6.90/1.69 % (2842348)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=692318463:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 6.90/1.69 % (2842348)Refutation not found, incomplete strategy
% 6.90/1.69 % (2842348)------------------------------
% 6.90/1.69 % (2842348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842348)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842348)Termination reason: Refutation not found, incomplete strategy
% 6.90/1.69 % (2842348)Time elapsed: 0.001 s
% 6.90/1.69 % (2842348)Peak memory usage: 88 MB
% 6.90/1.69 % (2842350)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=867975610:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 6.90/1.69 % (2842351)lrs+10_1_sil=8000:sp=occurrence:random_seed=403761365:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 6.90/1.69 % (2842350)Instruction limit reached!
% 6.90/1.69 % (2842350)------------------------------
% 6.90/1.69 % (2842350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842350)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842350)Termination reason: Instruction limit
% 6.90/1.69 % (2842350)Termination phase: Saturation
% 6.90/1.69 % (2842350)Time elapsed: 0.035 s
% 6.90/1.69 % (2842350)Peak memory usage: 89 MB
% 6.90/1.69 % (2842350)Instructions burned: 114 (million)
% 6.90/1.69 % (2842348)------------------------------
% 6.90/1.69 % (2842348)------------------------------
% 6.90/1.69 % (2842355)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=489759287:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.90/1.69 % (2842356)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=237798799:i=5202:ss=axioms:sgt=16_2993 on theBenchmark for (2993ds/5202Mi)
% 6.90/1.69 % (2842355)Instruction limit reached!
% 6.90/1.69 % (2842355)------------------------------
% 6.90/1.69 % (2842355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842355)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842355)Termination reason: Instruction limit
% 6.90/1.69 % (2842355)Termination phase: Saturation
% 6.90/1.69 % (2842355)Time elapsed: 0.114 s
% 6.90/1.69 % (2842355)Peak memory usage: 90 MB
% 6.90/1.69 % (2842355)Instructions burned: 442 (million)
% 6.90/1.69 % (2842351)Instruction limit reached!
% 6.90/1.69 % (2842351)------------------------------
% 6.90/1.69 % (2842351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842351)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842351)Termination reason: Instruction limit
% 6.90/1.69 % (2842351)Termination phase: Saturation
% 6.90/1.69 % (2842351)Time elapsed: 0.288 s
% 6.90/1.69 % (2842351)Peak memory usage: 96 MB
% 6.90/1.69 % (2842351)Instructions burned: 907 (million)
% 6.90/1.69 % (2842359)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=251849302:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2991 on theBenchmark for (2991ds/134Mi)
% 6.90/1.69 % (2842359)Refutation not found, incomplete strategy
% 6.90/1.69 % (2842359)------------------------------
% 6.90/1.69 % (2842359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.90/1.69 % (2842359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.69 % (2842359)CaDiCaL version: 2.1.3
% 6.90/1.69 % (2842359)Termination reason: Refutation not found, incomplete strategy
% 6.90/1.69 % (2842359)Time elapsed: 0.001 s
% 6.90/1.69 % (2842359)Peak memory usage: 89 MB
% 6.90/1.69 % (2842359)Instructions burned: 1 (million)
% 6.90/1.69 % (2842360)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=164142733:st=8:i=592:sd=3:ep=RST:ss=axioms_2991 on theBenchmark for (2991ds/592Mi)
% 6.90/1.69 % (2842322)First to succeed.
% 6.90/1.69 % (2842322)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2842316"
% 6.90/1.69 % (2842359)------------------------------
% 6.90/1.69 % (2842359)------------------------------
% 6.90/1.69 % (2842322)Refutation found. Thanks to Tanya!
% 6.90/1.69 % SZS status Theorem for theBenchmark
% 6.90/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 8.39/1.78 % (2842322)------------------------------
% 8.39/1.78 % (2842322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.39/1.78 % (2842322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.78 % (2842322)CaDiCaL version: 2.1.3
% 8.39/1.78 % (2842322)Termination reason: Refutation
% 8.39/1.78 % (2842322)Time elapsed: 0.897 s
% 8.39/1.78 % (2842322)Peak memory usage: 142 MB
% 8.39/1.78 % (2842322)Instructions burned: 2582 (million)
% 8.39/1.78 % (2842322)------------------------------
% 8.39/1.78 % (2842322)------------------------------
% 8.39/1.78 % (2842316)Success in time 1.17 s
% 8.39/1.78 % Vampire exiting
%------------------------------------------------------------------------------