%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL050-4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:10 PM UTC 2026
% Result : Unsatisfiable 11.31s 2.82s
% Output : Refutation 13.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 21
% Syntax : Number of formulae : 209 ( 165 unt; 7 def)
% Number of atoms : 254 ( 202 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 92 ( 47 ~; 43 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 251 ( 0 sgn 251 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f23,negated_conjecture,
( join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top)
| join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top))) != complement(composition(sk1,top)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
( composition(complement(composition(sk1,top)),top) != join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top))
| complement(composition(sk1,top)) != join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top))) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f29,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f30,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f32,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF2 = composition(sF1,top),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f34,plain,
composition(sF1,top) = sF2,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF3 = join(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
join(sF1,sF2) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = join(sF2,sF1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
join(sF2,sF1) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,plain,
( sF2 != sF3
| sF1 != sF4 ),
inference(definition_folding,[],[f24,f38,f32,f30,f34,f32,f30,f32,f30,f36,f34,f32,f30,f32,f30,f34,f32,f30]) ).
fof(f41,definition,
( spl5_1
<=> sF1 = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f43,plain,
( sF1 != sF4
| spl5_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl5_2
<=> sF2 = sF3 ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f46,plain,
( sF2 = sF3
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f39,f45,f41]) ).
fof(f49,plain,
zero = complement(top),
inference(backward_demodulation,[],[f25,f15]) ).
fof(f50,plain,
sF3 = join(sF2,sF1),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f51,plain,
sF3 = sF4,
inference(backward_demodulation,[],[f38,f50]) ).
fof(f52,plain,
( sF1 != sF3
| spl5_1 ),
inference(forward_demodulation,[],[f43,f51]) ).
fof(f53,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(superposition,[],[f4,f4]) ).
fof(f56,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X0),complement(X1)))))),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f57,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X0),complement(X1))))))),
inference(forward_demodulation,[],[f56,f2]) ).
fof(f70,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f75,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f76,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f91,plain,
! [X0] : sF0 = join(complement(join(sF1,complement(X0))),complement(join(sF1,X0))),
inference(superposition,[],[f4,f32]) ).
fof(f94,plain,
! [X0] : sF0 = join(complement(join(sF1,X0)),complement(join(sF1,complement(X0)))),
inference(forward_demodulation,[],[f91,f1]) ).
fof(f95,plain,
! [X0,X1] : composition(X0,converse(X1)) = converse(composition(X1,converse(X0))),
inference(superposition,[],[f12,f10]) ).
fof(f96,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f97,plain,
! [X2,X0,X1] : composition(join(X2,converse(X1)),converse(X0)) = join(composition(X2,converse(X0)),converse(composition(X0,X1))),
inference(superposition,[],[f9,f12]) ).
fof(f98,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f99,plain,
! [X0,X1] : complement(X1) = join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)),
inference(superposition,[],[f14,f10]) ).
fof(f100,plain,
complement(top) = join(composition(converse(sF1),complement(sF2)),complement(top)),
inference(superposition,[],[f14,f34]) ).
fof(f101,plain,
complement(top) = join(composition(converse(sk1),complement(sF0)),complement(top)),
inference(superposition,[],[f14,f30]) ).
fof(f110,plain,
complement(top) = join(complement(top),composition(converse(sk1),complement(sF0))),
inference(forward_demodulation,[],[f101,f1]) ).
fof(f111,plain,
complement(top) = join(complement(top),composition(converse(sF1),complement(sF2))),
inference(forward_demodulation,[],[f100,f1]) ).
fof(f112,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(forward_demodulation,[],[f99,f1]) ).
fof(f114,plain,
complement(top) = join(complement(top),composition(converse(sk1),sF1)),
inference(forward_demodulation,[],[f110,f32]) ).
fof(f115,plain,
zero = join(zero,composition(converse(sF1),complement(sF2))),
inference(forward_demodulation,[],[f111,f49]) ).
fof(f116,plain,
zero = join(zero,composition(converse(sk1),sF1)),
inference(forward_demodulation,[],[f114,f49]) ).
fof(f117,plain,
! [X0] : zero = join(composition(converse(X0),complement(composition(X0,top))),zero),
inference(superposition,[],[f14,f49]) ).
fof(f124,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(forward_demodulation,[],[f117,f1]) ).
fof(f126,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f130,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f132,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(composition(converse(X1),complement(composition(X1,X0))),join(complement(X0),X2)),
inference(superposition,[],[f2,f14]) ).
fof(f134,plain,
! [X0] : join(sF2,join(sF1,X0)) = join(sF3,X0),
inference(superposition,[],[f2,f50]) ).
fof(f140,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f141,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,composition(converse(X1),complement(composition(X1,X0))))),
inference(forward_demodulation,[],[f132,f140]) ).
fof(f142,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f130,f140]) ).
fof(f196,plain,
! [X0] : composition(sk1,composition(top,X0)) = composition(sF0,X0),
inference(superposition,[],[f7,f30]) ).
fof(f208,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X0),complement(X1)),X0),
inference(superposition,[],[f126,f4]) ).
fof(f209,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(complement(X0),X1),X0),
inference(superposition,[],[f126,f70]) ).
fof(f211,plain,
! [X0] : join(top,complement(complement(X0))) = join(X0,top),
inference(superposition,[],[f126,f15]) ).
fof(f223,plain,
! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f209,f2]) ).
fof(f224,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f208,f2]) ).
fof(f227,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f223,f140]) ).
fof(f228,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(X0,join(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f224,f140]) ).
fof(f229,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f227,f126]) ).
fof(f230,plain,
! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(top,complement(X1)),
inference(forward_demodulation,[],[f228,f126]) ).
fof(f231,plain,
! [X1] : join(top,X1) = join(top,complement(complement(X1))),
inference(backward_demodulation,[],[f229,f230]) ).
fof(f238,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f98,f12]) ).
fof(f244,plain,
! [X2,X0,X1] : composition(join(converse(X0),X1),converse(X2)) = join(composition(X1,converse(X2)),converse(composition(X2,X0))),
inference(superposition,[],[f1,f98]) ).
fof(f245,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f238,f11]) ).
fof(f248,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f245,f11]) ).
fof(f250,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f248,f12]) ).
fof(f265,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f250]) ).
fof(f278,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f265,f10]) ).
fof(f304,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(superposition,[],[f278,f8]) ).
fof(f311,plain,
! [X0] : composition(sF1,join(X0,top)) = join(composition(sF1,X0),sF2),
inference(superposition,[],[f278,f34]) ).
fof(f312,plain,
! [X0] : composition(sk1,join(X0,top)) = join(composition(sk1,X0),sF0),
inference(superposition,[],[f278,f30]) ).
fof(f317,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f2,f278]) ).
fof(f320,plain,
! [X0] : join(sF0,composition(sk1,X0)) = composition(sk1,join(X0,top)),
inference(forward_demodulation,[],[f312,f1]) ).
fof(f321,plain,
! [X0] : join(sF2,composition(sF1,X0)) = composition(sF1,join(X0,top)),
inference(forward_demodulation,[],[f311,f1]) ).
fof(f331,plain,
join(sF2,sF1) = composition(sF1,join(one,top)),
inference(superposition,[],[f321,f8]) ).
fof(f334,plain,
sF3 = composition(sF1,join(one,top)),
inference(forward_demodulation,[],[f331,f50]) ).
fof(f387,plain,
! [X0] : join(sF2,join(sF1,X0)) = join(X0,sF3),
inference(superposition,[],[f140,f50]) ).
fof(f442,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f96,f8]) ).
fof(f462,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f442,f10]) ).
fof(f479,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f112,f462]) ).
fof(f488,plain,
one = converse(one),
inference(superposition,[],[f8,f462]) ).
fof(f491,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f462,f488]) ).
fof(f503,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f479,f491]) ).
fof(f539,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f126,f503]) ).
fof(f547,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f539,f15]) ).
fof(f554,plain,
! [X1] : top = join(top,X1),
inference(backward_demodulation,[],[f231,f547]) ).
fof(f555,plain,
! [X0] : top = join(X0,top),
inference(backward_demodulation,[],[f211,f547]) ).
fof(f561,plain,
! [X0] : composition(sk1,top) = join(sF0,composition(sk1,X0)),
inference(backward_demodulation,[],[f320,f555]) ).
fof(f570,plain,
composition(sF1,top) = sF3,
inference(backward_demodulation,[],[f334,f555]) ).
fof(f589,plain,
sF2 = sF3,
inference(backward_demodulation,[],[f34,f570]) ).
fof(f596,plain,
! [X0] : sF0 = join(sF0,composition(sk1,X0)),
inference(forward_demodulation,[],[f561,f30]) ).
fof(f607,plain,
spl5_2,
inference(avatar_split_clause,[],[f589,f45]) ).
fof(f609,plain,
( sF3 = join(sF3,sF1)
| ~ spl5_2 ),
inference(backward_demodulation,[],[f50,f46]) ).
fof(f612,plain,
( zero = join(zero,composition(converse(sF1),complement(sF3)))
| ~ spl5_2 ),
inference(backward_demodulation,[],[f115,f46]) ).
fof(f613,plain,
( ! [X0] : join(sF3,X0) = join(sF3,join(sF1,X0))
| ~ spl5_2 ),
inference(backward_demodulation,[],[f134,f46]) ).
fof(f616,plain,
( ! [X0] : join(X0,sF3) = join(sF3,join(sF1,X0))
| ~ spl5_2 ),
inference(backward_demodulation,[],[f387,f46]) ).
fof(f787,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,complement(join(complement(X0),complement(complement(X1))))),
inference(superposition,[],[f142,f4]) ).
fof(f788,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,[],[f142,f503]) ).
fof(f806,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f788,f70]) ).
fof(f807,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),complement(complement(X1))))),
inference(forward_demodulation,[],[f787,f1]) ).
fof(f824,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f807,f806]) ).
fof(f854,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f824,f142]) ).
fof(f856,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f824,f1]) ).
fof(f864,plain,
! [X0,X1] : join(X0,X0) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f142,f824]) ).
fof(f872,plain,
! [X2,X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(join(complement(complement(X0)),X2))))))),
inference(superposition,[],[f142,f824]) ).
fof(f882,plain,
! [X0,X1] : join(X0,X0) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f864,f1]) ).
fof(f888,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(backward_demodulation,[],[f57,f856]) ).
fof(f889,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f854,f2]) ).
fof(f895,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f882,f824]) ).
fof(f899,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(backward_demodulation,[],[f872,f889]) ).
fof(f995,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f70,f899]) ).
fof(f1007,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(complement(complement(X0))),X1))),
inference(superposition,[],[f824,f899]) ).
fof(f1012,plain,
! [X0,X1] : complement(complement(X0)) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1007,f899]) ).
fof(f1021,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f995,f899]) ).
fof(f1032,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1012,f824]) ).
fof(f1036,plain,
sF0 = complement(sF1),
inference(backward_demodulation,[],[f94,f1021]) ).
fof(f1063,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),complement(top)),
inference(superposition,[],[f888,f15]) ).
fof(f1077,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(complement(X0),zero),
inference(forward_demodulation,[],[f1063,f49]) ).
fof(f1083,plain,
! [X0] : join(complement(X0),complement(complement(complement(X0)))) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f1077,f1]) ).
fof(f1087,plain,
! [X0] : join(complement(X0),complement(X0)) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f1083,f1032]) ).
fof(f1090,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f1087,f895]) ).
fof(f1107,plain,
top = complement(zero),
inference(superposition,[],[f15,f1090]) ).
fof(f1123,plain,
! [X0] : sF1 = join(sF1,complement(join(sF0,X0))),
inference(superposition,[],[f824,f1036]) ).
fof(f1140,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f1090,f1032]) ).
fof(f1142,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(backward_demodulation,[],[f124,f1140]) ).
fof(f1143,plain,
zero = composition(converse(sk1),sF1),
inference(backward_demodulation,[],[f116,f1140]) ).
fof(f1144,plain,
( zero = composition(converse(sF1),complement(sF3))
| ~ spl5_2 ),
inference(backward_demodulation,[],[f612,f1140]) ).
fof(f1300,plain,
! [X0] : composition(join(X0,converse(sk1)),sF1) = join(composition(X0,sF1),zero),
inference(superposition,[],[f9,f1143]) ).
fof(f1313,plain,
! [X0] : composition(join(X0,converse(sk1)),sF1) = join(zero,composition(X0,sF1)),
inference(forward_demodulation,[],[f1300,f1]) ).
fof(f1318,plain,
! [X0] : composition(X0,sF1) = composition(join(X0,converse(sk1)),sF1),
inference(forward_demodulation,[],[f1313,f1140]) ).
fof(f1742,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,complement(one))),
inference(superposition,[],[f304,f15]) ).
fof(f1870,plain,
top = composition(top,top),
inference(superposition,[],[f554,f1742]) ).
fof(f2354,plain,
! [X2,X0,X1] : composition(join(X0,converse(X1)),converse(X2)) = converse(composition(X2,join(converse(X0),X1))),
inference(superposition,[],[f12,f75]) ).
fof(f2360,plain,
! [X2,X0,X1] : join(composition(X2,converse(X0)),converse(composition(X0,X1))) = converse(composition(X0,join(converse(X2),X1))),
inference(backward_demodulation,[],[f97,f2354]) ).
fof(f2377,plain,
! [X2,X0,X1] : composition(join(converse(X0),X1),converse(X2)) = converse(composition(X2,join(converse(X1),X0))),
inference(backward_demodulation,[],[f244,f2360]) ).
fof(f2385,plain,
! [X2,X0,X1] : join(converse(composition(X0,X1)),composition(X2,converse(X0))) = converse(composition(X0,join(converse(X2),X1))),
inference(backward_demodulation,[],[f98,f2377]) ).
fof(f2565,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X3,X2)),composition(X1,X2)) = join(composition(X0,X3),composition(join(X0,X1),X2)),
inference(superposition,[],[f317,f9]) ).
fof(f4115,plain,
( converse(zero) = composition(converse(complement(sF3)),sF1)
| ~ spl5_2 ),
inference(superposition,[],[f96,f1144]) ).
fof(f4168,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f76,f554]) ).
fof(f4169,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(superposition,[],[f76,f1140]) ).
fof(f4187,plain,
! [X0] : join(converse(zero),X0) = X0,
inference(forward_demodulation,[],[f4169,f10]) ).
fof(f4324,plain,
top = converse(top),
inference(superposition,[],[f555,f4168]) ).
fof(f4396,plain,
! [X0] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[],[f96,f4324]) ).
fof(f4804,plain,
! [X0,X1] : composition(sk1,join(composition(top,X0),X1)) = join(composition(sF0,X0),composition(sk1,X1)),
inference(superposition,[],[f278,f196]) ).
fof(f4832,plain,
( ! [X0] : join(sF3,sF1) = join(sF3,complement(join(complement(sF1),X0)))
| ~ spl5_2 ),
inference(superposition,[],[f613,f824]) ).
fof(f4887,plain,
( ! [X0] : join(sF3,sF1) = join(sF3,complement(join(sF0,X0)))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f4832,f1036]) ).
fof(f4901,plain,
( ! [X0] : sF3 = join(sF3,complement(join(sF0,X0)))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f4887,f609]) ).
fof(f4943,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(join(X0,X2),complement(X1))) = join(composition(X0,top),composition(X2,complement(X1))),
inference(superposition,[],[f2565,f15]) ).
fof(f5462,plain,
! [X0,X1] : join(composition(sF0,top),composition(composition(sk1,X1),complement(X0))) = join(composition(sF0,X0),composition(sF0,complement(X0))),
inference(superposition,[],[f4943,f596]) ).
fof(f5507,plain,
! [X0,X1] : join(composition(sF0,top),composition(composition(sk1,X1),complement(X0))) = composition(sF0,join(X0,complement(X0))),
inference(forward_demodulation,[],[f5462,f278]) ).
fof(f5561,plain,
! [X0,X1] : composition(sF0,top) = join(composition(sF0,top),composition(composition(sk1,X1),complement(X0))),
inference(forward_demodulation,[],[f5507,f15]) ).
fof(f5596,plain,
! [X0,X1] : composition(sF0,top) = join(composition(sF0,top),composition(sk1,composition(X1,complement(X0)))),
inference(forward_demodulation,[],[f5561,f7]) ).
fof(f5617,plain,
! [X0,X1] : composition(sF0,top) = composition(sk1,join(composition(top,top),composition(X1,complement(X0)))),
inference(forward_demodulation,[],[f5596,f4804]) ).
fof(f5628,plain,
! [X0,X1] : composition(sF0,top) = composition(sk1,join(top,composition(X1,complement(X0)))),
inference(forward_demodulation,[],[f5617,f1870]) ).
fof(f5638,plain,
composition(sk1,top) = composition(sF0,top),
inference(forward_demodulation,[],[f5628,f554]) ).
fof(f5642,plain,
sF0 = composition(sF0,top),
inference(forward_demodulation,[],[f5638,f30]) ).
fof(f5700,plain,
zero = composition(converse(sF0),complement(sF0)),
inference(superposition,[],[f1142,f5642]) ).
fof(f5729,plain,
zero = composition(converse(sF0),sF1),
inference(forward_demodulation,[],[f5700,f32]) ).
fof(f6260,plain,
( ! [X0] : converse(composition(converse(sF1),join(converse(X0),complement(sF3)))) = join(converse(zero),composition(X0,converse(converse(sF1))))
| ~ spl5_2 ),
inference(superposition,[],[f2385,f1144]) ).
fof(f6341,plain,
( ! [X0] : composition(X0,converse(converse(sF1))) = converse(composition(converse(sF1),join(converse(X0),complement(sF3))))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f6260,f4187]) ).
fof(f6370,plain,
( ! [X0] : composition(X0,converse(converse(sF1))) = composition(converse(join(converse(X0),complement(sF3))),sF1)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f6341,f96]) ).
fof(f6393,plain,
( ! [X0] : composition(X0,converse(converse(sF1))) = composition(join(X0,converse(complement(sF3))),sF1)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f6370,f75]) ).
fof(f6407,plain,
( ! [X0] : composition(X0,sF1) = composition(join(X0,converse(complement(sF3))),sF1)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f6393,f10]) ).
fof(f7009,plain,
( composition(converse(complement(sF3)),sF1) = composition(zero,sF1)
| ~ spl5_2 ),
inference(superposition,[],[f6407,f1140]) ).
fof(f7041,plain,
( converse(zero) = composition(zero,sF1)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f7009,f4115]) ).
fof(f7120,plain,
converse(zero) = composition(converse(sF1),sF0),
inference(superposition,[],[f96,f5729]) ).
fof(f7785,plain,
composition(converse(sk1),sF1) = composition(zero,sF1),
inference(superposition,[],[f1318,f1140]) ).
fof(f7819,plain,
( composition(converse(sk1),sF1) = converse(zero)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f7785,f7041]) ).
fof(f7830,plain,
( zero = converse(zero)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f7819,f1143]) ).
fof(f7849,plain,
( zero = composition(converse(sF1),sF0)
| ~ spl5_2 ),
inference(backward_demodulation,[],[f7120,f7830]) ).
fof(f9792,plain,
( ! [X0] : join(complement(sF0),X0) = join(complement(sF0),join(X0,composition(converse(converse(sF1)),complement(zero))))
| ~ spl5_2 ),
inference(superposition,[],[f141,f7849]) ).
fof(f9815,plain,
( ! [X0] : join(complement(sF0),X0) = join(complement(sF0),join(X0,composition(converse(converse(sF1)),top)))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9792,f1107]) ).
fof(f9833,plain,
( ! [X0] : join(complement(sF0),X0) = join(complement(sF0),join(X0,converse(composition(top,converse(sF1)))))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9815,f4396]) ).
fof(f9845,plain,
( ! [X0] : join(complement(sF0),X0) = join(complement(sF0),join(X0,composition(sF1,converse(top))))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9833,f95]) ).
fof(f9852,plain,
( ! [X0] : join(complement(sF0),X0) = join(complement(sF0),join(X0,composition(sF1,top)))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9845,f4324]) ).
fof(f9858,plain,
( ! [X0] : join(complement(sF0),X0) = join(complement(sF0),join(X0,sF3))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9852,f570]) ).
fof(f9863,plain,
( ! [X0] : join(complement(sF0),X0) = join(sF3,join(complement(sF0),X0))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9858,f140]) ).
fof(f9869,plain,
( ! [X0] : join(sF1,X0) = join(sF3,join(sF1,X0))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9863,f32]) ).
fof(f9873,plain,
( ! [X0] : join(sF1,X0) = join(X0,sF3)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9869,f616]) ).
fof(f9928,plain,
( ! [X0] : sF1 = join(complement(join(sF0,X0)),sF3)
| ~ spl5_2 ),
inference(backward_demodulation,[],[f1123,f9873]) ).
fof(f9969,plain,
( ! [X0] : sF1 = join(sF3,complement(join(sF0,X0)))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9928,f1]) ).
fof(f9993,plain,
( sF1 = sF3
| ~ spl5_2 ),
inference(forward_demodulation,[],[f9969,f4901]) ).
fof(f10014,plain,
( $false
| spl5_1
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f9993,f52]) ).
fof(f10015,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_contradiction_clause,[],[f10014]) ).
cnf(s1,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s2,plain,
spl5_2,
inference(sat_conversion,[],[f607]) ).
cnf(s6,plain,
( spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f10015]) ).
cnf(s7,plain,
spl5_1,
inference(rat,[],[s6,s2]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s2,s7]) ).
fof(f10070,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL050-4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n009.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 22:57:30 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.27/2.45 % (2500891)Input is clausal, will run a generic CNF schedule.
% 10.27/2.45 % (2500995)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2559337046:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.27/2.45 % (2500993)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2647166722:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.27/2.45 % (2500994)lrs+10_1_sil=8000:sp=occurrence:random_seed=2229904577:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.27/2.45 % (2500991)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=3374272017:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.27/2.45 % (2500996)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3731378016:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.27/2.45 % (2500992)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2800776726:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.27/2.45 % (2500995)Instruction limit reached!
% 10.27/2.45 % (2500995)------------------------------
% 10.27/2.45 % (2500995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.45 % (2500995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.45 % (2500995)CaDiCaL version: 2.1.3
% 10.27/2.45 % (2500995)Termination reason: Instruction limit
% 10.27/2.45 % (2500995)Termination phase: Saturation
% 10.27/2.45 % (2500995)Time elapsed: 0.041 s
% 10.27/2.45 % (2500995)Peak memory usage: 89 MB
% 10.27/2.45 % (2500995)Instructions burned: 117 (million)
% 10.27/2.45 % (2500997)dis-21_1_sil=8000:lcm=predicate:random_seed=2886444252:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.27/2.45 % (2500997)Refutation not found, incomplete strategy
% 10.27/2.45 % (2500997)------------------------------
% 10.27/2.45 % (2500997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.45 % (2500997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.45 % (2500997)CaDiCaL version: 2.1.3
% 10.27/2.45 % (2500997)Termination reason: Refutation not found, incomplete strategy
% 10.27/2.45 % (2500997)Time elapsed: 0.002 s
% 10.27/2.45 % (2500997)Peak memory usage: 88 MB
% 10.27/2.45 % (2500997)Instructions burned: 1 (million)
% 10.27/2.45 % (2500994)Instruction limit reached!
% 10.27/2.45 % (2500994)------------------------------
% 10.27/2.45 % (2500994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.45 % (2500994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.45 % (2500994)CaDiCaL version: 2.1.3
% 10.27/2.45 % (2500994)Termination reason: Instruction limit
% 10.27/2.45 % (2500994)Termination phase: Saturation
% 10.27/2.45 % (2500994)Time elapsed: 0.066 s
% 10.27/2.45 % (2500994)Peak memory usage: 89 MB
% 10.27/2.45 % (2500994)Instructions burned: 108 (million)
% 10.27/2.45 % (2500996)Instruction limit reached!
% 10.27/2.45 % (2500996)------------------------------
% 10.27/2.45 % (2500996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.45 % (2500996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.45 % (2500996)CaDiCaL version: 2.1.3
% 10.27/2.45 % (2500996)Termination reason: Instruction limit
% 10.27/2.45 % (2500996)Termination phase: Saturation
% 10.27/2.45 % (2500996)Time elapsed: 0.107 s
% 10.27/2.45 % (2500996)Peak memory usage: 89 MB
% 10.27/2.45 % (2500996)Instructions burned: 181 (million)
% 10.27/2.45 % (2501004)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2181248850:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.27/2.45 % (2501004)Refutation not found, incomplete strategy
% 10.27/2.45 % (2501004)------------------------------
% 10.27/2.45 % (2501004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.45 % (2501004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.45 % (2501004)CaDiCaL version: 2.1.3
% 10.27/2.45 % (2501004)Termination reason: Refutation not found, incomplete strategy
% 10.27/2.45 % (2501004)Time elapsed: 0.001 s
% 10.27/2.45 % (2501004)Peak memory usage: 88 MB
% 10.27/2.45 % (2501004)Instructions burned: 1 (million)
% 10.27/2.45 % (2501006)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1911832957:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.31/2.82 % (2500997)------------------------------
% 11.31/2.82 % (2500997)------------------------------
% 11.31/2.82 % (2501004)------------------------------
% 11.31/2.82 % (2501004)------------------------------
% 11.31/2.82 % (2501007)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1338694122:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.31/2.82 % (2501006)Instruction limit reached!
% 11.31/2.82 % (2501006)------------------------------
% 11.31/2.82 % (2501006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501006)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501006)Termination reason: Instruction limit
% 11.31/2.82 % (2501006)Termination phase: Saturation
% 11.31/2.82 % (2501006)Time elapsed: 0.113 s
% 11.31/2.82 % (2501006)Peak memory usage: 92 MB
% 11.31/2.82 % (2501006)Instructions burned: 189 (million)
% 11.31/2.82 % (2501012)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1096262133:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 11.31/2.82 % (2501007)Instruction limit reached!
% 11.31/2.82 % (2501007)------------------------------
% 11.31/2.82 % (2501007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501007)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501007)Termination reason: Instruction limit
% 11.31/2.82 % (2501007)Termination phase: Saturation
% 11.31/2.82 % (2501007)Time elapsed: 0.126 s
% 11.31/2.82 % (2501007)Peak memory usage: 91 MB
% 11.31/2.82 % (2501007)Instructions burned: 220 (million)
% 11.31/2.82 % (2501010)lrs+10_64_to=lpo:sil=8000:random_seed=2737835467:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.31/2.82 % (2501012)Instruction limit reached!
% 11.31/2.82 % (2501012)------------------------------
% 11.31/2.82 % (2501012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501012)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501012)Termination reason: Instruction limit
% 11.31/2.82 % (2501012)Termination phase: Saturation
% 11.31/2.82 % (2501012)Time elapsed: 0.068 s
% 11.31/2.82 % (2501012)Peak memory usage: 90 MB
% 11.31/2.82 % (2501012)Instructions burned: 195 (million)
% 11.31/2.82 % (2501010)Instruction limit reached!
% 11.31/2.82 % (2501010)------------------------------
% 11.31/2.82 % (2501010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501010)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501010)Termination reason: Instruction limit
% 11.31/2.82 % (2501010)Termination phase: Saturation
% 11.31/2.82 % (2501010)Time elapsed: 0.075 s
% 11.31/2.82 % (2501010)Peak memory usage: 90 MB
% 11.31/2.82 % (2501010)Instructions burned: 127 (million)
% 11.31/2.82 % (2501013)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3491184570:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.31/2.82 % (2501015)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=734653458:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.31/2.82 % (2501017)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1728784022:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.31/2.82 % (2501017)Instruction limit reached!
% 11.31/2.82 % (2501017)------------------------------
% 11.31/2.82 % (2501017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501017)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501017)Termination reason: Instruction limit
% 11.31/2.82 % (2501017)Termination phase: Saturation
% 11.31/2.82 % (2501017)Time elapsed: 0.034 s
% 11.31/2.82 % (2501017)Peak memory usage: 89 MB
% 11.31/2.82 % (2501017)Instructions burned: 109 (million)
% 11.31/2.82 % (2501013)Instruction limit reached!
% 11.31/2.82 % (2501013)------------------------------
% 11.31/2.82 % (2501013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501013)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501013)Termination reason: Instruction limit
% 11.31/2.82 % (2501013)Termination phase: Saturation
% 11.31/2.82 % (2501013)Time elapsed: 0.096 s
% 11.31/2.82 % (2501013)Peak memory usage: 91 MB
% 11.31/2.82 % (2501013)Instructions burned: 158 (million)
% 11.31/2.82 % (2501018)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=584516288:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.31/2.82 % (2501018)Refutation not found, incomplete strategy
% 11.31/2.82 % (2501018)------------------------------
% 11.31/2.82 % (2501018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501018)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501018)Termination reason: Refutation not found, incomplete strategy
% 11.31/2.82 % (2501018)Time elapsed: 0.002 s
% 11.31/2.82 % (2501018)Peak memory usage: 88 MB
% 11.31/2.82 % (2501018)Instructions burned: 1 (million)
% 11.31/2.82 % (2501022)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3115822183:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.31/2.82 % (2501023)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2336910820:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.31/2.82 % (2501022)Instruction limit reached!
% 11.31/2.82 % (2501022)------------------------------
% 11.31/2.82 % (2501022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501022)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501022)Termination reason: Instruction limit
% 11.31/2.82 % (2501022)Termination phase: Saturation
% 11.31/2.82 % (2501022)Time elapsed: 0.069 s
% 11.31/2.82 % (2501022)Peak memory usage: 89 MB
% 11.31/2.82 % (2501022)Instructions burned: 242 (million)
% 11.31/2.82 % (2501018)------------------------------
% 11.31/2.82 % (2501018)------------------------------
% 11.31/2.82 % (2501027)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3390945659:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 11.31/2.82 % (2501027)Instruction limit reached!
% 11.31/2.82 % (2501027)------------------------------
% 11.31/2.82 % (2501027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501027)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501027)Termination reason: Instruction limit
% 11.31/2.82 % (2501027)Termination phase: Saturation
% 11.31/2.82 % (2501027)Time elapsed: 0.040 s
% 11.31/2.82 % (2501027)Peak memory usage: 89 MB
% 11.31/2.82 % (2501027)Instructions burned: 135 (million)
% 11.31/2.82 % (2501029)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3507997640:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 11.31/2.82 % (2501030)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1101672744:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 11.31/2.82 % (2501030)Instruction limit reached!
% 11.31/2.82 % (2501030)------------------------------
% 11.31/2.82 % (2501030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501030)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501030)Termination reason: Instruction limit
% 11.31/2.82 % (2501030)Termination phase: Saturation
% 11.31/2.82 % (2501030)Time elapsed: 0.068 s
% 11.31/2.82 % (2501030)Peak memory usage: 90 MB
% 11.31/2.82 % (2501030)Instructions burned: 192 (million)
% 11.31/2.82 % (2501033)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=970258755:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 11.31/2.82 % (2501033)Instruction limit reached!
% 11.31/2.82 % (2501033)------------------------------
% 11.31/2.82 % (2501033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501033)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501033)Termination reason: Instruction limit
% 11.31/2.82 % (2501033)Termination phase: Saturation
% 11.31/2.82 % (2501033)Time elapsed: 0.085 s
% 11.31/2.82 % (2501033)Peak memory usage: 92 MB
% 11.31/2.82 % (2501033)Instructions burned: 265 (million)
% 11.31/2.82 % (2501029)Instruction limit reached!
% 11.31/2.82 % (2501029)------------------------------
% 11.31/2.82 % (2501029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501029)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501029)Termination reason: Instruction limit
% 11.31/2.82 % (2501029)Termination phase: Saturation
% 11.31/2.82 % (2501029)Time elapsed: 0.330 s
% 11.31/2.82 % (2501029)Peak memory usage: 94 MB
% 11.31/2.82 % (2501029)Instructions burned: 500 (million)
% 11.31/2.82 % (2500993)First to succeed.
% 11.31/2.82 % (2500993)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2500891"
% 11.31/2.82 % (2501035)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4090093798:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 11.31/2.82 % (2501035)Instruction limit reached!
% 11.31/2.82 % (2501035)------------------------------
% 11.31/2.82 % (2501035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/2.82 % (2501035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.82 % (2501035)CaDiCaL version: 2.1.3
% 11.31/2.82 % (2501035)Termination reason: Instruction limit
% 11.31/2.82 % (2501035)Termination phase: Saturation
% 11.31/2.82 % (2501035)Time elapsed: 0.051 s
% 11.31/2.82 % (2501035)Peak memory usage: 89 MB
% 11.31/2.82 % (2501035)Instructions burned: 156 (million)
% 11.31/2.82 % (2501036)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1082516020:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 11.31/2.82 % (2500991)Also succeeded, but the first one will report.
% 11.31/2.82 % (2501038)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=197922195:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 11.31/2.82 % (2500993)Refutation found. Thanks to Tanya!
% 11.31/2.82 % SZS status Unsatisfiable for theBenchmark
% 11.31/2.82 % SZS output start Proof for theBenchmark
% See solution above
% 13.82/3.02 % (2500993)------------------------------
% 13.82/3.02 % (2500993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.82/3.02 % (2500993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.82/3.02 % (2500993)CaDiCaL version: 2.1.3
% 13.82/3.02 % (2500993)Termination reason: Refutation
% 13.82/3.02 % (2500993)Time elapsed: 1.445 s
% 13.82/3.02 % (2500993)Peak memory usage: 140 MB
% 13.82/3.02 % (2500993)Instructions burned: 2235 (million)
% 13.82/3.02 % (2500993)------------------------------
% 13.82/3.02 % (2500993)------------------------------
% 13.82/3.02 % (2500891)Success in time 1.879 s
% 13.82/3.02 % Vampire exiting
%------------------------------------------------------------------------------