%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL034+2 : 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 : n017.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 12:34:00 PM UTC 2026
% Result : Theorem 42.08s 7.06s
% Output : Refutation 43.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 27
% Syntax : Number of formulae : 202 ( 198 unt; 13 def)
% Number of atoms : 206 ( 205 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 : 11 ( 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 : 207 ( 204 !; 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(f15,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_1) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( composition(X0,top) = X0
=> join(composition(X1,meet(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(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( composition(X0,top) = X0
=> join(composition(X1,meet(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(X1,meet(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(sK1,meet(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(f35,plain,
! [X2,X0,X1] : meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
sK0 = composition(sK0,top),
inference(cnf_transformation,[],[f20]) ).
fof(f38,plain,
composition(meet(sK1,converse(sK0)),meet(sK0,sK2)) != join(composition(sK1,meet(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(f41,plain,
! [X2,X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),X2)))))),complement(X2)))),
inference(definition_unfolding,[],[f35,f24,f24,f24,f24,f24]) ).
fof(f43,plain,
composition(complement(join(complement(sK1),complement(converse(sK0)))),complement(join(complement(sK0),complement(sK2)))) != join(composition(sK1,complement(join(complement(sK0),complement(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(sK1,sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f65,plain,
composition(sK1,sF11) = 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,f61,f59,f57,f55,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(f73,plain,
sK0 = converse(sF4),
inference(superposition,[],[f28,f47]) ).
fof(f81,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f29,f28]) ).
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(f113,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f23,f21]) ).
fof(f120,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(f122,plain,
! [X0] : composition(join(sK1,X0),sF11) = join(sF13,composition(X0,sF11)),
inference(superposition,[],[f27,f65]) ).
fof(f127,plain,
! [X0] : composition(join(X0,sF7),sF11) = join(composition(X0,sF11),sF12),
inference(superposition,[],[f27,f63]) ).
fof(f137,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f31,f28]) ).
fof(f139,plain,
complement(top) = join(composition(converse(sK0),complement(sK0)),complement(top)),
inference(superposition,[],[f31,f72]) ).
fof(f152,plain,
complement(top) = join(composition(converse(sK0),sF8),complement(top)),
inference(forward_demodulation,[],[f139,f55]) ).
fof(f154,plain,
complement(top) = join(composition(sF4,sF8),complement(top)),
inference(forward_demodulation,[],[f152,f47]) ).
fof(f256,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(f272,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f21,f22]) ).
fof(f340,plain,
zero = complement(top),
inference(superposition,[],[f39,f32]) ).
fof(f574,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f95,f26]) ).
fof(f587,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f574,f28]) ).
fof(f604,plain,
one = converse(one),
inference(superposition,[],[f26,f587]) ).
fof(f613,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f587,f604]) ).
fof(f629,plain,
! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
inference(superposition,[],[f31,f613]) ).
fof(f634,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f629,f587]) ).
fof(f655,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f256,f634]) ).
fof(f660,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),join(complement(X0),X1)),
inference(superposition,[],[f22,f634]) ).
fof(f664,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f655,f23]) ).
fof(f690,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f664,f664]) ).
fof(f695,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f664,f39]) ).
fof(f699,plain,
! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
inference(superposition,[],[f272,f664]) ).
fof(f740,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f21,f695]) ).
fof(f777,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(superposition,[],[f81,f32]) ).
fof(f812,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f664,f777]) ).
fof(f844,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
inference(superposition,[],[f256,f690]) ).
fof(f861,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
inference(forward_demodulation,[],[f844,f39]) ).
fof(f864,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f861,f740]) ).
fof(f868,plain,
! [X0] : join(top,X0) = join(complement(zero),X0),
inference(superposition,[],[f864,f340]) ).
fof(f869,plain,
! [X0] : join(sK0,X0) = join(complement(sF8),X0),
inference(superposition,[],[f864,f55]) ).
fof(f870,plain,
! [X0] : join(sK1,X0) = join(complement(sF3),X0),
inference(superposition,[],[f864,f45]) ).
fof(f894,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f664,f864]) ).
fof(f903,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f21,f864]) ).
fof(f911,plain,
! [X0] : complement(complement(X0)) = join(X0,zero),
inference(superposition,[],[f695,f864]) ).
fof(f912,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f911,f695]) ).
fof(f937,plain,
top = complement(zero),
inference(superposition,[],[f912,f340]) ).
fof(f938,plain,
sK0 = complement(sF8),
inference(superposition,[],[f912,f55]) ).
fof(f939,plain,
sK1 = complement(sF3),
inference(superposition,[],[f912,f45]) ).
fof(f949,plain,
! [X0] : top = join(complement(X0),X0),
inference(superposition,[],[f32,f912]) ).
fof(f955,plain,
! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
inference(superposition,[],[f112,f912]) ).
fof(f1034,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f894,f21]) ).
fof(f1055,plain,
complement(sF3) = join(complement(sF3),complement(sF6)),
inference(superposition,[],[f894,f51]) ).
fof(f1056,plain,
complement(sF8) = join(complement(sF8),complement(sF10)),
inference(superposition,[],[f894,f59]) ).
fof(f1092,plain,
complement(sF8) = join(sK0,complement(sF10)),
inference(forward_demodulation,[],[f1056,f869]) ).
fof(f1093,plain,
complement(sF3) = join(sK1,complement(sF6)),
inference(forward_demodulation,[],[f1055,f870]) ).
fof(f1108,plain,
complement(sF8) = join(sK0,sF11),
inference(forward_demodulation,[],[f1092,f61]) ).
fof(f1109,plain,
complement(sF3) = join(sK1,sF7),
inference(forward_demodulation,[],[f1093,f53]) ).
fof(f1118,plain,
sK0 = join(sK0,sF11),
inference(forward_demodulation,[],[f1108,f938]) ).
fof(f1119,plain,
sK1 = join(sK1,sF7),
inference(forward_demodulation,[],[f1109,f939]) ).
fof(f1174,plain,
! [X0] : complement(zero) = join(complement(zero),complement(X0)),
inference(superposition,[],[f1034,f695]) ).
fof(f1240,plain,
! [X0] : complement(zero) = join(top,complement(X0)),
inference(forward_demodulation,[],[f1174,f868]) ).
fof(f1258,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f1240,f937]) ).
fof(f1388,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f1258,f912]) ).
fof(f1592,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f120,f30]) ).
fof(f1611,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f1592,f29]) ).
fof(f1626,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f1611,f29]) ).
fof(f1634,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f1626,f30]) ).
fof(f1658,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f28,f1634]) ).
fof(f1677,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f1658,f28]) ).
fof(f1938,plain,
! [X0] : zero = join(composition(X0,complement(composition(converse(X0),top))),zero),
inference(superposition,[],[f137,f340]) ).
fof(f1964,plain,
! [X0] : zero = composition(X0,complement(composition(converse(X0),top))),
inference(forward_demodulation,[],[f1938,f695]) ).
fof(f2011,plain,
top = converse(top),
inference(superposition,[],[f777,f1388]) ).
fof(f2139,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(superposition,[],[f23,f955]) ).
fof(f2146,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0))))),complement(complement(X0))),
inference(superposition,[],[f113,f955]) ).
fof(f2157,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f2146,f903]) ).
fof(f2164,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
inference(forward_demodulation,[],[f2139,f864]) ).
fof(f2225,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(join(complement(X1),X0),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f2157,f903]) ).
fof(f2232,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f2164,f699]) ).
fof(f2270,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f2225,f22]) ).
fof(f2292,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f2270,f2232]) ).
fof(f2300,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f2292,f660]) ).
fof(f2306,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f2232,f21]) ).
fof(f2315,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f2232,f777]) ).
fof(f2426,plain,
! [X0] : join(complement(converse(complement(converse(X0)))),X0) = X0,
inference(forward_demodulation,[],[f2315,f812]) ).
fof(f2532,plain,
join(complement(sF3),sF5) = join(sF5,complement(sF6)),
inference(superposition,[],[f2306,f51]) ).
fof(f2607,plain,
join(complement(sF3),sF5) = join(sF5,sF7),
inference(forward_demodulation,[],[f2532,f53]) ).
fof(f2642,plain,
join(sF5,sF7) = join(sK1,sF5),
inference(forward_demodulation,[],[f2607,f870]) ).
fof(f3176,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(complement(complement(X0)),complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(superposition,[],[f23,f2426]) ).
fof(f3189,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(superposition,[],[f21,f2426]) ).
fof(f3216,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,complement(join(complement(converse(complement(converse(complement(X0))))),X0))),
inference(forward_demodulation,[],[f3176,f864]) ).
fof(f3232,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f3216,f2300]) ).
fof(f3952,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f81,f3189]) ).
fof(f3957,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f3952,f28]) ).
fof(f3985,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f3957,f3232]) ).
fof(f5588,plain,
sF8 = converse(complement(converse(sK0))),
inference(superposition,[],[f3985,f938]) ).
fof(f5594,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f28,f3985]) ).
fof(f5613,plain,
sF8 = converse(complement(sF4)),
inference(forward_demodulation,[],[f5588,f47]) ).
fof(f5619,plain,
sF8 = converse(sF5),
inference(forward_demodulation,[],[f5613,f49]) ).
fof(f5621,plain,
sF5 = converse(sF8),
inference(superposition,[],[f28,f5619]) ).
fof(f5988,plain,
! [X0,X1] : complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),zero)) = join(complement(join(complement(composition(X0,X1)),zero)),complement(join(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),zero))),
inference(superposition,[],[f41,f340]) ).
fof(f6056,plain,
! [X0,X1] : complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))))),
inference(forward_demodulation,[],[f5988,f695]) ).
fof(f6112,plain,
! [X0,X1] : complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))) = join(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))),complement(join(complement(composition(X0,X1)),zero))),
inference(forward_demodulation,[],[f6056,f903]) ).
fof(f6152,plain,
! [X0,X1] : complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))) = join(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))),complement(complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f6112,f695]) ).
fof(f6181,plain,
! [X0,X1] : complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))) = join(composition(X0,X1),composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f6152,f903]) ).
fof(f6204,plain,
! [X0,X1] : complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))) = composition(X0,join(X1,complement(join(complement(X1),complement(composition(converse(X0),top)))))),
inference(forward_demodulation,[],[f6181,f1677]) ).
fof(f6224,plain,
! [X0,X1] : composition(X0,X1) = complement(complement(composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))))),
inference(forward_demodulation,[],[f6204,f664]) ).
fof(f6235,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,complement(join(complement(X1),complement(composition(converse(X0),top))))),
inference(forward_demodulation,[],[f6224,f912]) ).
fof(f8035,plain,
converse(zero) = complement(converse(top)),
inference(superposition,[],[f5594,f937]) ).
fof(f8036,plain,
complement(top) = converse(zero),
inference(forward_demodulation,[],[f8035,f2011]) ).
fof(f8065,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f8036,f340]) ).
fof(f11330,plain,
composition(sK1,sF11) = join(sF13,composition(sF7,sF11)),
inference(superposition,[],[f122,f1119]) ).
fof(f11331,plain,
join(sF13,composition(sF5,sF11)) = composition(join(sF5,sF7),sF11),
inference(superposition,[],[f122,f2642]) ).
fof(f11392,plain,
join(sF13,composition(sF5,sF11)) = join(composition(sF5,sF11),sF12),
inference(forward_demodulation,[],[f11331,f127]) ).
fof(f11393,plain,
composition(sK1,sF11) = join(sF13,sF12),
inference(forward_demodulation,[],[f11330,f63]) ).
fof(f11403,plain,
composition(sK1,sF11) = sF14,
inference(forward_demodulation,[],[f11393,f67]) ).
fof(f11407,plain,
sF13 = sF14,
inference(forward_demodulation,[],[f11403,f65]) ).
fof(f11408,plain,
sF12 != sF13,
inference(superposition,[],[f68,f11407]) ).
fof(f14664,plain,
zero = join(composition(sF4,sF8),zero),
inference(superposition,[],[f154,f340]) ).
fof(f14720,plain,
zero = composition(sF4,sF8),
inference(forward_demodulation,[],[f14664,f695]) ).
fof(f14764,plain,
! [X0] : composition(join(converse(sF8),X0),converse(sF4)) = join(converse(zero),composition(X0,converse(sF4))),
inference(superposition,[],[f120,f14720]) ).
fof(f14773,plain,
! [X0] : composition(join(converse(sF8),X0),sK0) = join(converse(zero),composition(X0,sK0)),
inference(forward_demodulation,[],[f14764,f73]) ).
fof(f14783,plain,
! [X0] : composition(join(converse(sF8),X0),sK0) = join(zero,composition(X0,sK0)),
inference(forward_demodulation,[],[f14773,f8065]) ).
fof(f14791,plain,
! [X0] : composition(X0,sK0) = composition(join(converse(sF8),X0),sK0),
inference(forward_demodulation,[],[f14783,f740]) ).
fof(f14799,plain,
! [X0] : composition(X0,sK0) = composition(join(sF5,X0),sK0),
inference(forward_demodulation,[],[f14791,f5621]) ).
fof(f15745,plain,
composition(sF5,sK0) = composition(zero,sK0),
inference(superposition,[],[f14799,f695]) ).
fof(f18195,plain,
! [X0] : composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(top)),
inference(superposition,[],[f6235,f949]) ).
fof(f18268,plain,
! [X0] : composition(X0,complement(composition(converse(X0),top))) = composition(X0,zero),
inference(forward_demodulation,[],[f18195,f340]) ).
fof(f18309,plain,
! [X0] : zero = composition(X0,zero),
inference(forward_demodulation,[],[f18268,f1964]) ).
fof(f18371,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(superposition,[],[f95,f18309]) ).
fof(f18380,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[],[f18371,f8065]) ).
fof(f19227,plain,
zero = composition(sF5,sK0),
inference(superposition,[],[f18380,f15745]) ).
fof(f19302,plain,
! [X0] : composition(sF5,join(sK0,X0)) = join(zero,composition(sF5,X0)),
inference(superposition,[],[f1677,f19227]) ).
fof(f19305,plain,
! [X0] : composition(sF5,X0) = composition(sF5,join(sK0,X0)),
inference(forward_demodulation,[],[f19302,f740]) ).
fof(f38715,plain,
composition(sF5,sF11) = composition(sF5,sK0),
inference(superposition,[],[f19305,f1118]) ).
fof(f38798,plain,
zero = composition(sF5,sF11),
inference(forward_demodulation,[],[f38715,f19227]) ).
fof(f38898,plain,
! [X0] : composition(join(sF5,X0),sF11) = join(zero,composition(X0,sF11)),
inference(superposition,[],[f27,f38798]) ).
fof(f38923,plain,
! [X0] : composition(X0,sF11) = composition(join(sF5,X0),sF11),
inference(forward_demodulation,[],[f38898,f740]) ).
fof(f49074,plain,
composition(sF7,sF11) = join(composition(sF5,sF11),sF12),
inference(superposition,[],[f38923,f127]) ).
fof(f49110,plain,
composition(sF7,sF11) = join(sF13,composition(sF5,sF11)),
inference(forward_demodulation,[],[f49074,f11392]) ).
fof(f49141,plain,
composition(sF7,sF11) = join(sF13,zero),
inference(forward_demodulation,[],[f49110,f38798]) ).
fof(f49154,plain,
composition(sF7,sF11) = sF13,
inference(forward_demodulation,[],[f49141,f695]) ).
fof(f49162,plain,
sF12 = sF13,
inference(forward_demodulation,[],[f49154,f63]) ).
fof(f49165,plain,
$false,
inference(forward_subsumption_resolution,[],[f49162,f11408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL034+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 22:50:35 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 24.51/4.48 % (3044035)Detected formulas, will run a generic FOF schedule.
% 24.51/4.48 % (3044043)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=1696263712:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 24.51/4.48 % (3044048)dis-21_1_sil=8000:lcm=predicate:random_seed=3394835750: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)
% 24.51/4.48 % (3044048)Refutation not found, incomplete strategy
% 24.51/4.48 % (3044048)------------------------------
% 24.51/4.48 % (3044048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.48 % (3044048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.48 % (3044048)CaDiCaL version: 2.1.3
% 24.51/4.48 % (3044048)Termination reason: Refutation not found, incomplete strategy
% 24.51/4.48 % (3044048)Time elapsed: 0.003 s
% 24.51/4.48 % (3044048)Peak memory usage: 88 MB
% 24.51/4.48 % (3044048)Instructions burned: 1 (million)
% 24.51/4.48 % (3044042)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=3865620027:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 24.51/4.48 % (3044045)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=582126061:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 24.51/4.48 % (3044046)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1159307881:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 24.51/4.48 % (3044044)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=325381710:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 24.51/4.48 % (3044047)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3904721310:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 24.51/4.48 % (3044045)Instruction limit reached!
% 24.51/4.48 % (3044045)------------------------------
% 24.51/4.48 % (3044045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.48 % (3044045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.48 % (3044045)CaDiCaL version: 2.1.3
% 24.51/4.48 % (3044045)Termination reason: Instruction limit
% 24.51/4.48 % (3044045)Termination phase: Saturation
% 24.51/4.48 % (3044045)Time elapsed: 0.111 s
% 24.51/4.48 % (3044045)Peak memory usage: 89 MB
% 24.51/4.48 % (3044045)Instructions burned: 109 (million)
% 24.51/4.48 % (3044046)Instruction limit reached!
% 24.51/4.48 % (3044046)------------------------------
% 24.51/4.48 % (3044046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.48 % (3044046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.48 % (3044046)CaDiCaL version: 2.1.3
% 24.51/4.48 % (3044046)Termination reason: Instruction limit
% 24.51/4.48 % (3044046)Termination phase: Saturation
% 24.51/4.48 % (3044046)Time elapsed: 0.117 s
% 24.51/4.48 % (3044046)Peak memory usage: 88 MB
% 24.51/4.48 % (3044046)Instructions burned: 120 (million)
% 24.51/4.48 % (3044047)Instruction limit reached!
% 24.51/4.48 % (3044047)------------------------------
% 24.51/4.48 % (3044047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.48 % (3044047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.48 % (3044047)CaDiCaL version: 2.1.3
% 24.51/4.48 % (3044047)Termination reason: Instruction limit
% 24.51/4.48 % (3044047)Termination phase: Saturation
% 24.51/4.48 % (3044047)Time elapsed: 0.140 s
% 24.51/4.48 % (3044047)Peak memory usage: 90 MB
% 24.51/4.48 % (3044047)Instructions burned: 140 (million)
% 24.51/4.48 % (3044048)------------------------------
% 24.51/4.48 % (3044048)------------------------------
% 24.51/4.48 % (3044056)lrs+10_1_sil=8000:sp=occurrence:random_seed=4003396389:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 24.51/4.48 % (3044057)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3541262402:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 24.51/4.48 % (3044058)lrs+1011_1_sil=32000:sp=occurrence:random_seed=776912185:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 24.51/4.48 % (3044059)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=185136741:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 39.15/6.50 % (3044057)Instruction limit reached!
% 39.15/6.50 % (3044057)------------------------------
% 39.15/6.50 % (3044057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.15/6.50 % (3044057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.15/6.50 % (3044057)CaDiCaL version: 2.1.3
% 39.15/6.50 % (3044057)Termination reason: Instruction limit
% 39.15/6.50 % (3044057)Termination phase: Saturation
% 39.15/6.50 % (3044057)Time elapsed: 0.161 s
% 39.15/6.50 % (3044057)Peak memory usage: 90 MB
% 39.15/6.50 % (3044057)Instructions burned: 157 (million)
% 39.15/6.50 % (3044056)Instruction limit reached!
% 39.15/6.50 % (3044056)------------------------------
% 39.15/6.50 % (3044056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.15/6.50 % (3044056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.15/6.50 % (3044056)CaDiCaL version: 2.1.3
% 39.15/6.50 % (3044056)Termination reason: Instruction limit
% 39.15/6.50 % (3044056)Termination phase: Saturation
% 39.15/6.50 % (3044056)Time elapsed: 0.282 s
% 39.15/6.50 % (3044056)Peak memory usage: 92 MB
% 39.15/6.50 % (3044056)Instructions burned: 285 (million)
% 39.15/6.50 % (3044058)Instruction limit reached!
% 39.15/6.50 % (3044058)------------------------------
% 39.15/6.50 % (3044058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.15/6.50 % (3044058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.15/6.50 % (3044058)CaDiCaL version: 2.1.3
% 39.15/6.50 % (3044058)Termination reason: Instruction limit
% 39.15/6.50 % (3044058)Termination phase: Saturation
% 39.15/6.50 % (3044058)Time elapsed: 0.325 s
% 39.15/6.50 % (3044058)Peak memory usage: 92 MB
% 39.15/6.50 % (3044058)Instructions burned: 326 (million)
% 39.15/6.50 % (3044059)Instruction limit reached!
% 39.15/6.50 % (3044059)------------------------------
% 39.15/6.50 % (3044059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.15/6.50 % (3044059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.15/6.50 % (3044059)CaDiCaL version: 2.1.3
% 39.15/6.50 % (3044059)Termination reason: Instruction limit
% 39.15/6.50 % (3044059)Termination phase: Saturation
% 39.15/6.50 % (3044059)Time elapsed: 0.257 s
% 39.15/6.50 % (3044059)Peak memory usage: 92 MB
% 39.15/6.50 % (3044059)Instructions burned: 248 (million)
% 39.15/6.50 % (3044064)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1928066903:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 39.15/6.50 % (3044065)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1728673739:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 39.15/6.50 % (3044066)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2459804204:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 39.15/6.50 % (3044067)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1735121896:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 39.15/6.50 % (3044067)Refutation not found, incomplete strategy
% 39.15/6.50 % (3044067)------------------------------
% 39.15/6.50 % (3044067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.15/6.50 % (3044067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.15/6.50 % (3044067)CaDiCaL version: 2.1.3
% 39.15/6.50 % (3044067)Termination reason: Refutation not found, incomplete strategy
% 39.15/6.50 % (3044067)Time elapsed: 0.002 s
% 39.15/6.50 % (3044067)Peak memory usage: 87 MB
% 39.15/6.50 % (3044067)Instructions burned: 1 (million)
% 39.15/6.50 % (3044064)Instruction limit reached!
% 39.15/6.50 % (3044064)------------------------------
% 39.15/6.50 % (3044064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.15/6.50 % (3044064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.15/6.50 % (3044064)CaDiCaL version: 2.1.3
% 39.15/6.50 % (3044064)Termination reason: Instruction limit
% 39.15/6.50 % (3044064)Termination phase: Saturation
% 39.15/6.50 % (3044064)Time elapsed: 0.294 s
% 39.15/6.50 % (3044064)Peak memory usage: 92 MB
% 39.15/6.50 % (3044064)Instructions burned: 295 (million)
% 39.15/6.50 % (3044066)Instruction limit reached!
% 39.15/6.50 % (3044066)------------------------------
% 39.15/6.50 % (3044066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.15/6.50 % (3044066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.15/6.50 % (3044066)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044066)Termination reason: Instruction limit
% 42.08/7.06 % (3044066)Termination phase: Saturation
% 42.08/7.06 % (3044066)Time elapsed: 0.114 s
% 42.08/7.06 % (3044066)Peak memory usage: 90 MB
% 42.08/7.06 % (3044066)Instructions burned: 113 (million)
% 42.08/7.06 % (3044072)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=662084901:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 42.08/7.06 % (3044073)lrs+10_1_sil=8000:sp=occurrence:random_seed=388169982:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 42.08/7.06 % (3044067)------------------------------
% 42.08/7.06 % (3044067)------------------------------
% 42.08/7.06 % (3044072)Instruction limit reached!
% 42.08/7.06 % (3044072)------------------------------
% 42.08/7.06 % (3044072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044072)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044072)Termination reason: Instruction limit
% 42.08/7.06 % (3044072)Termination phase: Saturation
% 42.08/7.06 % (3044072)Time elapsed: 0.108 s
% 42.08/7.06 % (3044072)Peak memory usage: 89 MB
% 42.08/7.06 % (3044072)Instructions burned: 114 (million)
% 42.08/7.06 % (3044076)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3269258214:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 42.08/7.06 % (3044077)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2680367629:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 42.08/7.06 % (3044076)Instruction limit reached!
% 42.08/7.06 % (3044076)------------------------------
% 42.08/7.06 % (3044076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044076)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044076)Termination reason: Instruction limit
% 42.08/7.06 % (3044076)Termination phase: Saturation
% 42.08/7.06 % (3044076)Time elapsed: 0.395 s
% 42.08/7.06 % (3044076)Peak memory usage: 91 MB
% 42.08/7.06 % (3044076)Instructions burned: 438 (million)
% 42.08/7.06 % (3044073)Instruction limit reached!
% 42.08/7.06 % (3044073)------------------------------
% 42.08/7.06 % (3044073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044073)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044073)Termination reason: Instruction limit
% 42.08/7.06 % (3044073)Termination phase: Saturation
% 42.08/7.06 % (3044073)Time elapsed: 0.882 s
% 42.08/7.06 % (3044073)Peak memory usage: 97 MB
% 42.08/7.06 % (3044073)Instructions burned: 907 (million)
% 42.08/7.06 % (3044080)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3302306075:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 42.08/7.06 % (3044080)Refutation not found, incomplete strategy
% 42.08/7.06 % (3044080)------------------------------
% 42.08/7.06 % (3044080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044080)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044080)Termination reason: Refutation not found, incomplete strategy
% 42.08/7.06 % (3044080)Time elapsed: 0.004 s
% 42.08/7.06 % (3044080)Peak memory usage: 89 MB
% 42.08/7.06 % (3044080)Instructions burned: 2 (million)
% 42.08/7.06 % (3044081)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3583213383:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 42.08/7.06 % (3044080)------------------------------
% 42.08/7.06 % (3044080)------------------------------
% 42.08/7.06 % (3044081)Instruction limit reached!
% 42.08/7.06 % (3044081)------------------------------
% 42.08/7.06 % (3044081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044081)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044081)Termination reason: Instruction limit
% 42.08/7.06 % (3044081)Termination phase: Saturation
% 42.08/7.06 % (3044081)Time elapsed: 0.487 s
% 42.08/7.06 % (3044081)Peak memory usage: 91 MB
% 42.08/7.06 % (3044081)Instructions burned: 593 (million)
% 42.08/7.06 % (3044084)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=822546681:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 42.08/7.06 % (3044085)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=2375886971:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/125Mi)
% 42.08/7.06 % (3044085)Instruction limit reached!
% 42.08/7.06 % (3044085)------------------------------
% 42.08/7.06 % (3044085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044085)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044085)Termination reason: Instruction limit
% 42.08/7.06 % (3044085)Termination phase: Saturation
% 42.08/7.06 % (3044085)Time elapsed: 0.133 s
% 42.08/7.06 % (3044085)Peak memory usage: 91 MB
% 42.08/7.06 % (3044085)Instructions burned: 125 (million)
% 42.08/7.06 % (3044065)Instruction limit reached!
% 42.08/7.06 % (3044065)------------------------------
% 42.08/7.06 % (3044065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044065)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044065)Termination reason: Instruction limit
% 42.08/7.06 % (3044065)Termination phase: Saturation
% 42.08/7.06 % (3044065)Time elapsed: 2.720 s
% 42.08/7.06 % (3044065)Peak memory usage: 142 MB
% 42.08/7.06 % (3044065)Instructions burned: 2351 (million)
% 42.08/7.06 % (3044088)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1981147220:i=134:gtgl=5:slsql=off:gtg=exists_sym_2961 on theBenchmark for (2961ds/134Mi)
% 42.08/7.06 % (3044089)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1004926645:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 42.08/7.06 % (3044089)Refutation not found, incomplete strategy
% 42.08/7.06 % (3044089)------------------------------
% 42.08/7.06 % (3044089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044089)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044089)Termination reason: Refutation not found, incomplete strategy
% 42.08/7.06 % (3044089)Time elapsed: 0.002 s
% 42.08/7.06 % (3044089)Peak memory usage: 88 MB
% 42.08/7.06 % (3044089)Instructions burned: 1 (million)
% 42.08/7.06 % (3044088)Instruction limit reached!
% 42.08/7.06 % (3044088)------------------------------
% 42.08/7.06 % (3044088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044088)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044088)Termination reason: Instruction limit
% 42.08/7.06 % (3044088)Termination phase: Saturation
% 42.08/7.06 % (3044088)Time elapsed: 0.140 s
% 42.08/7.06 % (3044088)Peak memory usage: 90 MB
% 42.08/7.06 % (3044088)Instructions burned: 134 (million)
% 42.08/7.06 % (3044089)------------------------------
% 42.08/7.06 % (3044089)------------------------------
% 42.08/7.06 % (3044094)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2450014186:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2956 on theBenchmark for (2956ds/431Mi)
% 42.08/7.06 % (3044094)Refutation not found, incomplete strategy
% 42.08/7.06 % (3044094)------------------------------
% 42.08/7.06 % (3044094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044094)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044094)Termination reason: Refutation not found, incomplete strategy
% 42.08/7.06 % (3044094)Time elapsed: 0.003 s
% 42.08/7.06 % (3044094)Peak memory usage: 88 MB
% 42.08/7.06 % (3044094)Instructions burned: 1 (million)
% 42.08/7.06 % (3044095)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3146583508:i=6060:aac=none:ins=25_2953 on theBenchmark for (2953ds/6060Mi)
% 42.08/7.06 % (3044094)------------------------------
% 42.08/7.06 % (3044094)------------------------------
% 42.08/7.06 % (3044098)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3922055937:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2949 on theBenchmark for (2949ds/150Mi)
% 42.08/7.06 % (3044098)Instruction limit reached!
% 42.08/7.06 % (3044098)------------------------------
% 42.08/7.06 % (3044098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.08/7.06 % (3044098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.08/7.06 % (3044098)CaDiCaL version: 2.1.3
% 42.08/7.06 % (3044098)Termination reason: Instruction limit
% 42.08/7.06 % (3044098)Termination phase: Saturation
% 42.08/7.06 % (3044098)Time elapsed: 0.158 s
% 42.08/7.06 % (3044098)Peak memory usage: 90 MB
% 42.08/7.06 % (3044098)Instructions burned: 150 (million)
% 42.08/7.06 % (3044042)First to succeed.
% 42.08/7.06 % (3044042)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3044035"
% 42.08/7.06 % (3044100)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1706299441:i=14155:bd=all_2944 on theBenchmark for (2944ds/14155Mi)
% 42.08/7.06 % (3044042)Refutation found. Thanks to Tanya!
% 42.08/7.06 % SZS status Theorem for theBenchmark
% 42.08/7.06 % SZS output start Proof for theBenchmark
% See solution above
% 43.80/7.34 % (3044042)------------------------------
% 43.80/7.34 % (3044042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.80/7.34 % (3044042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.80/7.34 % (3044042)CaDiCaL version: 2.1.3
% 43.80/7.34 % (3044042)Termination reason: Refutation
% 43.80/7.34 % (3044042)Time elapsed: 5.338 s
% 43.80/7.34 % (3044042)Peak memory usage: 167 MB
% 43.80/7.34 % (3044042)Instructions burned: 5109 (million)
% 43.80/7.34 % (3044042)------------------------------
% 43.80/7.34 % (3044042)------------------------------
% 43.80/7.34 % (3044035)Success in time 6.066 s
% 43.80/7.34 % Vampire exiting
%------------------------------------------------------------------------------