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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : REL020+1 : 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 : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:33:47 PM UTC 2026

% Result   : Theorem 39.57s 6.78s
% Output   : Refutation 40.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   57
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  270 ( 266 unt;   9 def)
%            Number of atoms       :  274 ( 273 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   0   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  14 con; 0-2 aty)
%            Number of variables   :  305 ( 303   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity) ).

fof(f3,axiom,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).

fof(f4,axiom,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity) ).

fof(f7,axiom,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity) ).

fof(f10,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity) ).

fof(f11,axiom,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity) ).

fof(f12,axiom,
    ! [X0] : top = join(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top) ).

fof(f13,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero) ).

fof(f14,conjecture,
    ! [X0,X1] :
      ( composition(X0,top) = X0
     => composition(meet(X0,one),X1) = meet(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1] :
        ( composition(X0,top) = X0
       => composition(meet(X0,one),X1) = meet(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ? [X0,X1] :
      ( meet(X0,X1) != composition(meet(X0,one),X1)
      & composition(X0,top) = X0 ),
    inference(ennf_transformation,[],[f15]) ).

fof(f17,plain,
    ( meet(sK0,sK1) != composition(meet(sK0,one),sK1)
    & sK0 = composition(sK0,top) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).

fof(f18,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f19,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[],[f2]) ).

fof(f20,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f21,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    inference(cnf_transformation,[],[f4]) ).

fof(f23,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(cnf_transformation,[],[f7]) ).

fof(f25,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f8]) ).

fof(f26,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(cnf_transformation,[],[f9]) ).

fof(f27,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(cnf_transformation,[],[f10]) ).

fof(f28,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(cnf_transformation,[],[f11]) ).

fof(f29,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f30,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f31,plain,
    sK0 = composition(sK0,top),
    inference(cnf_transformation,[],[f17]) ).

fof(f32,plain,
    meet(sK0,sK1) != composition(meet(sK0,one),sK1),
    inference(cnf_transformation,[],[f17]) ).

fof(f33,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f30,f21]) ).

fof(f34,plain,
    complement(join(complement(sK0),complement(sK1))) != composition(complement(join(complement(sK0),complement(one))),sK1),
    inference(definition_unfolding,[],[f32,f21,f21]) ).

fof(f35,definition,
    sF2 = complement(sK0),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f36,plain,
    complement(sK0) = sF2,
    inference(reorient_equations,[],[f35]) ).

fof(f37,definition,
    sF3 = complement(sK1),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f38,plain,
    complement(sK1) = sF3,
    inference(reorient_equations,[],[f37]) ).

fof(f39,definition,
    sF4 = join(sF2,sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f40,plain,
    join(sF2,sF3) = sF4,
    inference(reorient_equations,[],[f39]) ).

fof(f41,definition,
    sF5 = complement(sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f42,plain,
    complement(sF4) = sF5,
    inference(reorient_equations,[],[f41]) ).

fof(f43,definition,
    sF6 = complement(one),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f44,plain,
    complement(one) = sF6,
    inference(reorient_equations,[],[f43]) ).

fof(f45,definition,
    sF7 = join(sF2,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f46,plain,
    join(sF2,sF6) = sF7,
    inference(reorient_equations,[],[f45]) ).

fof(f47,definition,
    sF8 = complement(sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f48,plain,
    complement(sF7) = sF8,
    inference(reorient_equations,[],[f47]) ).

fof(f49,definition,
    sF9 = composition(sF8,sK1),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f50,plain,
    composition(sF8,sK1) = sF9,
    inference(reorient_equations,[],[f49]) ).

fof(f51,plain,
    sF5 != sF9,
    inference(definition_folding,[],[f34,f50,f48,f46,f44,f36,f42,f40,f38,f36]) ).

fof(f52,definition,
    sF10 = composition(sK0,top),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f53,plain,
    composition(sK0,top) = sF10,
    inference(reorient_equations,[],[f52]) ).

fof(f54,plain,
    sK0 = sF10,
    inference(definition_folding,[],[f31,f53]) ).

fof(f55,plain,
    sK0 = composition(sK0,top),
    inference(forward_demodulation,[],[f53,f54]) ).

fof(f59,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[],[f27,f25]) ).

fof(f65,plain,
    ! [X0] : composition(join(sK0,X0),top) = join(sK0,composition(X0,top)),
    inference(superposition,[],[f24,f55]) ).

fof(f67,plain,
    ! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
    inference(superposition,[],[f24,f27]) ).

fof(f76,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,[],[f20,f20]) ).

fof(f112,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
    inference(superposition,[],[f20,f18]) ).

fof(f113,plain,
    ! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
    inference(superposition,[],[f20,f18]) ).

fof(f114,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(superposition,[],[f20,f18]) ).

fof(f130,plain,
    ! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
    inference(superposition,[],[f67,f27]) ).

fof(f139,plain,
    ! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
    inference(forward_demodulation,[],[f130,f26]) ).

fof(f142,plain,
    ! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
    inference(forward_demodulation,[],[f139,f26]) ).

fof(f144,plain,
    ! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
    inference(forward_demodulation,[],[f142,f27]) ).

fof(f155,plain,
    ! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
    inference(superposition,[],[f25,f144]) ).

fof(f166,plain,
    ! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
    inference(forward_demodulation,[],[f155,f25]) ).

fof(f180,plain,
    ! [X0] : composition(sK0,join(top,X0)) = join(sK0,composition(sK0,X0)),
    inference(superposition,[],[f166,f55]) ).

fof(f181,plain,
    ! [X0] : composition(sF8,join(sK1,X0)) = join(sF9,composition(sF8,X0)),
    inference(superposition,[],[f166,f50]) ).

fof(f183,plain,
    ! [X0] : composition(sK0,join(X0,top)) = join(composition(sK0,X0),sK0),
    inference(superposition,[],[f166,f55]) ).

fof(f184,plain,
    ! [X0] : composition(sF8,join(X0,sK1)) = join(composition(sF8,X0),sF9),
    inference(superposition,[],[f166,f50]) ).

fof(f244,plain,
    ! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
    inference(superposition,[],[f166,f23]) ).

fof(f246,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[],[f59,f23]) ).

fof(f247,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(forward_demodulation,[],[f246,f25]) ).

fof(f257,plain,
    ! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
    inference(superposition,[],[f24,f247]) ).

fof(f265,plain,
    one = converse(one),
    inference(superposition,[],[f23,f247]) ).

fof(f273,plain,
    ! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
    inference(forward_demodulation,[],[f257,f265]) ).

fof(f284,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(superposition,[],[f247,f265]) ).

fof(f300,plain,
    ! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
    inference(superposition,[],[f28,f284]) ).

fof(f313,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(X0)),
    inference(forward_demodulation,[],[f300,f247]) ).

fof(f325,plain,
    ! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
    inference(superposition,[],[f114,f313]) ).

fof(f348,plain,
    ! [X0] : join(complement(complement(X0)),zero) = X0,
    inference(forward_demodulation,[],[f325,f33]) ).

fof(f368,plain,
    zero = complement(top),
    inference(superposition,[],[f33,f29]) ).

fof(f376,plain,
    ! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
    inference(superposition,[],[f29,f33]) ).

fof(f384,plain,
    ! [X0] : top = join(complement(X0),join(complement(complement(X0)),zero)),
    inference(forward_demodulation,[],[f376,f19]) ).

fof(f397,plain,
    ! [X0] : top = join(complement(X0),X0),
    inference(forward_demodulation,[],[f384,f348]) ).

fof(f488,plain,
    ! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
    inference(superposition,[],[f19,f29]) ).

fof(f492,plain,
    ! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
    inference(superposition,[],[f19,f20]) ).

fof(f497,plain,
    ! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
    inference(superposition,[],[f19,f397]) ).

fof(f499,plain,
    ! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
    inference(superposition,[],[f19,f166]) ).

fof(f511,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
    inference(superposition,[],[f18,f19]) ).

fof(f526,plain,
    ! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(join(complement(X0),X1),X0),
    inference(superposition,[],[f488,f114]) ).

fof(f528,plain,
    ! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
    inference(superposition,[],[f488,f313]) ).

fof(f533,plain,
    ! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
    inference(superposition,[],[f488,f18]) ).

fof(f542,plain,
    ! [X0] : top = join(top,complement(X0)),
    inference(forward_demodulation,[],[f528,f29]) ).

fof(f544,plain,
    ! [X0,X1] : join(top,complement(join(complement(X0),complement(X1)))) = join(complement(X0),join(X1,X0)),
    inference(forward_demodulation,[],[f526,f19]) ).

fof(f549,plain,
    ! [X0,X1] : top = join(complement(X0),join(X1,X0)),
    inference(forward_demodulation,[],[f544,f542]) ).

fof(f588,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(complement(join(complement(X0),complement(complement(X1)))),X0),
    inference(superposition,[],[f492,f20]) ).

fof(f590,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(complement(X1)))),X0) = join(X0,complement(join(X1,complement(X0)))),
    inference(superposition,[],[f492,f113]) ).

fof(f591,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
    inference(superposition,[],[f492,f313]) ).

fof(f605,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
    inference(forward_demodulation,[],[f591,f20]) ).

fof(f606,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,complement(join(X1,complement(X0)))),
    inference(forward_demodulation,[],[f588,f590]) ).

fof(f625,plain,
    ! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = X0,
    inference(forward_demodulation,[],[f606,f605]) ).

fof(f648,plain,
    ! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
    inference(superposition,[],[f605,f488]) ).

fof(f649,plain,
    ! [X0] : join(X0,zero) = X0,
    inference(superposition,[],[f605,f33]) ).

fof(f657,plain,
    ! [X0,X1] : join(complement(complement(X0)),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
    inference(superposition,[],[f20,f605]) ).

fof(f665,plain,
    ! [X0,X1] : join(complement(complement(X0)),complement(join(top,X1))) = X0,
    inference(forward_demodulation,[],[f657,f488]) ).

fof(f676,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(forward_demodulation,[],[f665,f648]) ).

fof(f681,plain,
    one = complement(sF6),
    inference(superposition,[],[f676,f44]) ).

fof(f682,plain,
    top = complement(zero),
    inference(superposition,[],[f676,f368]) ).

fof(f683,plain,
    sK0 = complement(sF2),
    inference(superposition,[],[f676,f36]) ).

fof(f684,plain,
    sK1 = complement(sF3),
    inference(superposition,[],[f676,f38]) ).

fof(f685,plain,
    sF4 = complement(sF5),
    inference(superposition,[],[f676,f42]) ).

fof(f686,plain,
    sF7 = complement(sF8),
    inference(superposition,[],[f676,f48]) ).

fof(f704,plain,
    ! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
    inference(superposition,[],[f605,f676]) ).

fof(f721,plain,
    ! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
    inference(superposition,[],[f704,f18]) ).

fof(f737,plain,
    complement(sF2) = join(complement(sF2),complement(sF7)),
    inference(superposition,[],[f704,f46]) ).

fof(f738,plain,
    complement(sF2) = join(complement(sF2),complement(sF4)),
    inference(superposition,[],[f704,f40]) ).

fof(f742,plain,
    ! [X0,X1] : join(complement(join(complement(X0),join(X0,X1))),complement(complement(X0))) = X0,
    inference(superposition,[],[f114,f704]) ).

fof(f759,plain,
    ! [X0,X1] : join(complement(join(complement(X0),join(X0,X1))),X0) = X0,
    inference(forward_demodulation,[],[f742,f676]) ).

fof(f762,plain,
    complement(sF2) = join(complement(sF2),sF5),
    inference(forward_demodulation,[],[f738,f42]) ).

fof(f763,plain,
    complement(sF2) = join(complement(sF2),sF8),
    inference(forward_demodulation,[],[f737,f48]) ).

fof(f776,plain,
    ! [X0,X1] : join(complement(join(top,X1)),X0) = X0,
    inference(forward_demodulation,[],[f759,f497]) ).

fof(f778,plain,
    sK0 = join(sK0,sF5),
    inference(forward_demodulation,[],[f762,f683]) ).

fof(f779,plain,
    sK0 = join(sK0,sF8),
    inference(forward_demodulation,[],[f763,f683]) ).

fof(f810,plain,
    ! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
    inference(superposition,[],[f721,f704]) ).

fof(f821,plain,
    complement(sF6) = join(complement(sF6),complement(sF7)),
    inference(superposition,[],[f721,f46]) ).

fof(f826,plain,
    ! [X0,X1] : join(complement(join(complement(X0),join(X1,X0))),complement(complement(X0))) = X0,
    inference(superposition,[],[f114,f721]) ).

fof(f844,plain,
    ! [X0,X1] : join(complement(join(complement(X0),join(X1,X0))),X0) = X0,
    inference(forward_demodulation,[],[f826,f676]) ).

fof(f848,plain,
    complement(sF6) = join(complement(sF6),sF8),
    inference(forward_demodulation,[],[f821,f48]) ).

fof(f853,plain,
    ! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),X0),
    inference(forward_demodulation,[],[f810,f676]) ).

fof(f862,plain,
    ! [X0] : join(complement(top),X0) = X0,
    inference(forward_demodulation,[],[f844,f549]) ).

fof(f864,plain,
    one = join(one,sF8),
    inference(forward_demodulation,[],[f848,f681]) ).

fof(f867,plain,
    ! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
    inference(forward_demodulation,[],[f853,f676]) ).

fof(f872,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(forward_demodulation,[],[f862,f368]) ).

fof(f874,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
    inference(forward_demodulation,[],[f867,f19]) ).

fof(f888,plain,
    ! [X0] : zero = complement(join(complement(zero),X0)),
    inference(superposition,[],[f605,f872]) ).

fof(f891,plain,
    ! [X0] : zero = complement(join(top,X0)),
    inference(forward_demodulation,[],[f888,f682]) ).

fof(f1037,plain,
    join(sF9,composition(sF8,complement(sK1))) = composition(sF8,top),
    inference(superposition,[],[f181,f29]) ).

fof(f1052,plain,
    composition(sF8,top) = join(sF9,composition(sF8,sF3)),
    inference(forward_demodulation,[],[f1037,f38]) ).

fof(f1089,plain,
    ! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
    inference(superposition,[],[f112,f676]) ).

fof(f1119,plain,
    ! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(join(complement(X0),X1),complement(join(complement(X1),complement(X0)))))),
    inference(superposition,[],[f113,f112]) ).

fof(f1124,plain,
    ! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(join(complement(X1),complement(X0)),X0),
    inference(superposition,[],[f488,f112]) ).

fof(f1138,plain,
    ! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X1),join(complement(X0),X0)),
    inference(forward_demodulation,[],[f1124,f19]) ).

fof(f1141,plain,
    ! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),join(X1,complement(join(complement(X1),complement(X0))))))),
    inference(forward_demodulation,[],[f1119,f19]) ).

fof(f1169,plain,
    ! [X0,X1] : join(top,complement(join(complement(X0),X1))) = join(complement(X1),top),
    inference(forward_demodulation,[],[f1138,f397]) ).

fof(f1171,plain,
    ! [X0,X1] : join(complement(X1),complement(X0)) = join(complement(X0),complement(join(complement(X0),X1))),
    inference(forward_demodulation,[],[f1141,f605]) ).

fof(f1192,plain,
    ! [X1] : top = join(complement(X1),top),
    inference(forward_demodulation,[],[f1169,f542]) ).

fof(f1217,plain,
    ! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
    inference(superposition,[],[f1171,f676]) ).

fof(f1336,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
    inference(superposition,[],[f1217,f18]) ).

fof(f1361,plain,
    join(complement(sF6),sF2) = join(sF2,complement(sF7)),
    inference(superposition,[],[f1217,f46]) ).

fof(f1362,plain,
    join(complement(sF3),sF2) = join(sF2,complement(sF4)),
    inference(superposition,[],[f1217,f40]) ).

fof(f1371,plain,
    ! [X2,X0,X1] : join(join(complement(X0),X1),X2) = join(X1,join(complement(join(X1,X0)),X2)),
    inference(superposition,[],[f19,f1217]) ).

fof(f1403,plain,
    ! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(X1,join(complement(join(X1,X0)),X2)),
    inference(forward_demodulation,[],[f1371,f19]) ).

fof(f1409,plain,
    join(complement(sF3),sF2) = join(sF2,sF5),
    inference(forward_demodulation,[],[f1362,f42]) ).

fof(f1410,plain,
    join(complement(sF6),sF2) = join(sF2,sF8),
    inference(forward_demodulation,[],[f1361,f48]) ).

fof(f1437,plain,
    join(sF2,sF5) = join(sK1,sF2),
    inference(forward_demodulation,[],[f1409,f684]) ).

fof(f1438,plain,
    join(sF2,sF8) = join(one,sF2),
    inference(forward_demodulation,[],[f1410,f681]) ).

fof(f1653,plain,
    ! [X0,X1] : complement(X1) = join(complement(join(complement(X0),X1)),complement(join(X0,X1))),
    inference(superposition,[],[f1089,f18]) ).

fof(f1697,plain,
    ! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0)))),complement(complement(X0))),
    inference(superposition,[],[f112,f1089]) ).

fof(f1709,plain,
    ! [X0,X1] : join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))) = join(complement(join(complement(X1),X0)),complement(complement(X0))),
    inference(superposition,[],[f1217,f1089]) ).

fof(f1712,plain,
    ! [X0,X1] : join(complement(join(complement(X1),X0)),X0) = join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))),
    inference(forward_demodulation,[],[f1709,f676]) ).

fof(f1721,plain,
    ! [X0,X1] : join(complement(X1),X0) = join(complement(join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0)))),X0),
    inference(forward_demodulation,[],[f1697,f676]) ).

fof(f1774,plain,
    ! [X0,X1] : join(complement(join(complement(X1),X0)),X0) = join(join(X0,X1),complement(join(complement(X1),X0))),
    inference(forward_demodulation,[],[f1712,f676]) ).

fof(f1782,plain,
    ! [X0,X1] : join(complement(X1),X0) = join(complement(join(join(X0,X1),complement(join(complement(X1),X0)))),X0),
    inference(forward_demodulation,[],[f1721,f676]) ).

fof(f1820,plain,
    ! [X0,X1] : join(complement(join(complement(X1),X0)),X0) = join(X0,join(X1,complement(join(complement(X1),X0)))),
    inference(forward_demodulation,[],[f1774,f19]) ).

fof(f1826,plain,
    ! [X0,X1] : join(complement(X1),X0) = join(complement(join(X0,join(X1,complement(join(complement(X1),X0))))),X0),
    inference(forward_demodulation,[],[f1782,f19]) ).

fof(f1850,plain,
    ! [X0,X1] : join(X0,X1) = join(complement(join(complement(X1),X0)),X0),
    inference(forward_demodulation,[],[f1820,f605]) ).

fof(f1852,plain,
    ! [X0,X1] : join(complement(X1),X0) = join(complement(join(X0,X1)),X0),
    inference(forward_demodulation,[],[f1826,f605]) ).

fof(f1998,plain,
    join(complement(sK1),sF2) = join(sF2,complement(join(sF2,sF5))),
    inference(superposition,[],[f1336,f1437]) ).

fof(f1999,plain,
    join(complement(sK1),sF2) = join(complement(sF5),sF2),
    inference(forward_demodulation,[],[f1998,f1217]) ).

fof(f2005,plain,
    join(complement(sK1),sF2) = join(sF4,sF2),
    inference(forward_demodulation,[],[f1999,f685]) ).

fof(f2010,plain,
    join(sF3,sF2) = join(sF4,sF2),
    inference(forward_demodulation,[],[f2005,f38]) ).

fof(f2016,plain,
    join(sF3,sF2) = join(sF2,sF4),
    inference(superposition,[],[f18,f2010]) ).

fof(f2646,plain,
    ! [X0] : composition(one,X0) = join(X0,composition(sF8,X0)),
    inference(superposition,[],[f273,f864]) ).

fof(f2659,plain,
    ! [X0] : join(X0,composition(sF8,X0)) = X0,
    inference(forward_demodulation,[],[f2646,f284]) ).

fof(f2680,plain,
    complement(sF5) = join(complement(sF5),complement(sK0)),
    inference(superposition,[],[f721,f778]) ).

fof(f2687,plain,
    complement(sF5) = join(complement(sF5),sF2),
    inference(forward_demodulation,[],[f2680,f36]) ).

fof(f2690,plain,
    sF4 = join(sF4,sF2),
    inference(forward_demodulation,[],[f2687,f685]) ).

fof(f2692,plain,
    sF4 = join(sF3,sF2),
    inference(forward_demodulation,[],[f2690,f2010]) ).

fof(f2694,plain,
    sF4 = join(sF2,sF4),
    inference(forward_demodulation,[],[f2692,f2016]) ).

fof(f3320,plain,
    ! [X0] : composition(sK0,top) = join(composition(sK0,complement(X0)),sK0),
    inference(superposition,[],[f183,f1192]) ).

fof(f3336,plain,
    ! [X0] : sK0 = join(composition(sK0,complement(X0)),sK0),
    inference(forward_demodulation,[],[f3320,f55]) ).

fof(f3358,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(composition(sF8,X0),X1)),
    inference(superposition,[],[f19,f2659]) ).

fof(f3363,plain,
    ! [X0] : join(X0,complement(X0)) = join(complement(composition(sF8,X0)),X0),
    inference(superposition,[],[f1217,f2659]) ).

fof(f3375,plain,
    ! [X0] : complement(composition(sF8,complement(X0))) = join(complement(complement(X0)),complement(join(X0,composition(sF8,complement(X0))))),
    inference(superposition,[],[f1653,f2659]) ).

fof(f3387,plain,
    ! [X0] : complement(composition(sF8,complement(X0))) = join(X0,complement(join(X0,composition(sF8,complement(X0))))),
    inference(forward_demodulation,[],[f3375,f676]) ).

fof(f3397,plain,
    ! [X0] : top = join(complement(composition(sF8,X0)),X0),
    inference(forward_demodulation,[],[f3363,f29]) ).

fof(f3405,plain,
    ! [X0] : complement(composition(sF8,complement(X0))) = join(complement(composition(sF8,complement(X0))),X0),
    inference(forward_demodulation,[],[f3387,f1217]) ).

fof(f3581,plain,
    ! [X2,X0,X1] : join(X1,complement(join(X0,join(X1,X2)))) = join(complement(join(X2,X0)),X1),
    inference(superposition,[],[f1217,f511]) ).

fof(f3785,plain,
    composition(sK0,top) = join(sK0,composition(sF8,top)),
    inference(superposition,[],[f65,f779]) ).

fof(f3834,plain,
    sK0 = join(sK0,composition(sF8,top)),
    inference(forward_demodulation,[],[f3785,f55]) ).

fof(f4541,plain,
    ! [X2,X0,X1] : join(complement(X2),join(X0,X1)) = join(complement(join(X0,join(X1,X2))),join(X0,X1)),
    inference(superposition,[],[f1852,f19]) ).

fof(f4605,plain,
    ! [X2,X0,X1] : join(X2,join(complement(X0),X1)) = join(complement(join(X1,X0)),join(X1,X2)),
    inference(superposition,[],[f511,f1852]) ).

fof(f4686,plain,
    ! [X2,X0,X1] : join(complement(X2),join(X0,X1)) = join(X1,join(complement(join(X1,X2)),X0)),
    inference(forward_demodulation,[],[f4541,f4605]) ).

fof(f4739,plain,
    ! [X2,X0,X1] : join(complement(X2),join(X0,X1)) = join(complement(X2),join(X1,X0)),
    inference(forward_demodulation,[],[f4686,f1403]) ).

fof(f5100,plain,
    ! [X0,X1] : complement(join(X0,complement(complement(X1)))) = join(complement(join(top,X0)),complement(join(X1,join(X0,complement(complement(X1)))))),
    inference(superposition,[],[f1653,f533]) ).

fof(f5120,plain,
    ! [X0,X1] : complement(join(X0,complement(complement(X1)))) = complement(join(X1,join(X0,complement(complement(X1))))),
    inference(forward_demodulation,[],[f5100,f776]) ).

fof(f5190,plain,
    ! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,join(X0,X1))),
    inference(forward_demodulation,[],[f5120,f676]) ).

fof(f5223,plain,
    ! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
    inference(forward_demodulation,[],[f5190,f874]) ).

fof(f5504,plain,
    ! [X2,X0,X1] : join(composition(converse(X1),join(X2,complement(composition(X1,X0)))),complement(X0)) = join(composition(converse(X1),X2),complement(X0)),
    inference(superposition,[],[f499,f28]) ).

fof(f6257,plain,
    composition(sF8,top) = join(composition(sF8,complement(sK1)),sF9),
    inference(superposition,[],[f184,f397]) ).

fof(f6295,plain,
    composition(sF8,top) = join(composition(sF8,sF3),sF9),
    inference(forward_demodulation,[],[f6257,f38]) ).

fof(f6344,plain,
    ! [X0,X1] : join(X0,composition(sF8,X1)) = join(X0,composition(sF8,join(X0,X1))),
    inference(superposition,[],[f3358,f166]) ).

fof(f6477,plain,
    ! [X0] : join(X0,composition(sF8,complement(X0))) = join(X0,composition(sF8,top)),
    inference(superposition,[],[f6344,f29]) ).

fof(f6667,plain,
    join(sK0,composition(sF8,top)) = join(sK0,composition(sF8,sF2)),
    inference(superposition,[],[f6477,f36]) ).

fof(f6691,plain,
    ! [X0] : join(complement(composition(sF8,complement(X0))),X0) = join(complement(join(X0,composition(sF8,top))),X0),
    inference(superposition,[],[f1852,f6477]) ).

fof(f6741,plain,
    ! [X0] : join(complement(composition(sF8,complement(X0))),X0) = join(complement(composition(sF8,top)),X0),
    inference(forward_demodulation,[],[f6691,f1852]) ).

fof(f6752,plain,
    sK0 = join(sK0,composition(sF8,sF2)),
    inference(forward_demodulation,[],[f6667,f3834]) ).

fof(f6772,plain,
    ! [X0] : complement(composition(sF8,complement(X0))) = join(complement(composition(sF8,top)),X0),
    inference(forward_demodulation,[],[f6741,f3405]) ).

fof(f6810,plain,
    complement(composition(sF8,sF2)) = join(complement(composition(sF8,sF2)),complement(sK0)),
    inference(superposition,[],[f721,f6752]) ).

fof(f6822,plain,
    complement(composition(sF8,sF2)) = join(complement(composition(sF8,sF2)),sF2),
    inference(forward_demodulation,[],[f6810,f36]) ).

fof(f6827,plain,
    top = complement(composition(sF8,sF2)),
    inference(forward_demodulation,[],[f6822,f3397]) ).

fof(f6856,plain,
    complement(top) = composition(sF8,sF2),
    inference(superposition,[],[f676,f6827]) ).

fof(f6872,plain,
    zero = composition(sF8,sF2),
    inference(forward_demodulation,[],[f6856,f368]) ).

fof(f6922,plain,
    ! [X0] : join(zero,composition(sF8,X0)) = composition(sF8,join(sF2,X0)),
    inference(superposition,[],[f166,f6872]) ).

fof(f6929,plain,
    ! [X0] : composition(sF8,X0) = composition(sF8,join(sF2,X0)),
    inference(forward_demodulation,[],[f6922,f872]) ).

fof(f7065,plain,
    composition(sF8,sF6) = composition(sF8,sF7),
    inference(superposition,[],[f6929,f46]) ).

fof(f7073,plain,
    composition(sF8,top) = composition(sF8,complement(sF2)),
    inference(superposition,[],[f6929,f29]) ).

fof(f7126,plain,
    composition(sF8,top) = composition(sF8,sK0),
    inference(forward_demodulation,[],[f7073,f683]) ).

fof(f7479,plain,
    ! [X0] : composition(sK0,join(top,X0)) = join(composition(sK0,complement(join(complement(X0),top))),sK0),
    inference(superposition,[],[f183,f1850]) ).

fof(f7488,plain,
    ! [X0] : sK0 = composition(sK0,join(top,X0)),
    inference(forward_demodulation,[],[f7479,f3336]) ).

fof(f7592,plain,
    ! [X0] : sK0 = join(sK0,composition(sK0,X0)),
    inference(forward_demodulation,[],[f7488,f180]) ).

fof(f8201,plain,
    ! [X2,X0,X1] : join(X1,X0) = join(join(X1,X0),complement(join(X2,complement(join(X0,X1))))),
    inference(superposition,[],[f625,f5223]) ).

fof(f8225,plain,
    ! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,complement(join(X2,complement(join(X0,X1)))))),
    inference(forward_demodulation,[],[f8201,f19]) ).

fof(f9864,plain,
    ! [X2,X0,X1] : join(complement(X0),complement(join(X2,X1))) = join(complement(X0),complement(join(complement(join(complement(X0),complement(join(X2,X1)))),join(complement(X0),join(X1,X2))))),
    inference(superposition,[],[f76,f4739]) ).

fof(f10021,plain,
    ! [X2,X0,X1] : join(complement(X0),complement(join(X2,X1))) = join(complement(join(join(X1,X2),complement(join(complement(X0),complement(join(X2,X1)))))),complement(X0)),
    inference(forward_demodulation,[],[f9864,f3581]) ).

fof(f10122,plain,
    ! [X2,X0,X1] : join(complement(X0),complement(join(X2,X1))) = join(complement(join(X1,join(X2,complement(join(complement(X0),complement(join(X2,X1))))))),complement(X0)),
    inference(forward_demodulation,[],[f10021,f19]) ).

fof(f10211,plain,
    ! [X2,X0,X1] : join(complement(X0),complement(join(X2,X1))) = join(complement(join(X1,X2)),complement(X0)),
    inference(forward_demodulation,[],[f10122,f8225]) ).

fof(f12189,plain,
    ! [X0] : complement(join(top,X0)) = join(composition(converse(sK0),complement(join(sK0,composition(sK0,X0)))),complement(join(top,X0))),
    inference(superposition,[],[f28,f180]) ).

fof(f12204,plain,
    ! [X0] : complement(join(top,X0)) = composition(converse(sK0),complement(join(sK0,composition(sK0,X0)))),
    inference(forward_demodulation,[],[f12189,f648]) ).

fof(f12244,plain,
    ! [X0] : composition(converse(sK0),complement(sK0)) = complement(join(top,X0)),
    inference(forward_demodulation,[],[f12204,f7592]) ).

fof(f12266,plain,
    zero = composition(converse(sK0),complement(sK0)),
    inference(forward_demodulation,[],[f12244,f891]) ).

fof(f12274,plain,
    zero = composition(converse(sK0),sF2),
    inference(forward_demodulation,[],[f12266,f36]) ).

fof(f12337,plain,
    ! [X0] : composition(converse(sK0),join(sF2,X0)) = join(zero,composition(converse(sK0),X0)),
    inference(superposition,[],[f166,f12274]) ).

fof(f12339,plain,
    composition(converse(sK0),join(one,sF2)) = join(converse(sK0),zero),
    inference(superposition,[],[f244,f12274]) ).

fof(f12344,plain,
    converse(sK0) = composition(converse(sK0),join(one,sF2)),
    inference(forward_demodulation,[],[f12339,f649]) ).

fof(f12346,plain,
    ! [X0] : composition(converse(sK0),X0) = composition(converse(sK0),join(sF2,X0)),
    inference(forward_demodulation,[],[f12337,f872]) ).

fof(f12354,plain,
    converse(sK0) = composition(converse(sK0),join(sF2,sF8)),
    inference(forward_demodulation,[],[f12344,f1438]) ).

fof(f12358,plain,
    converse(sK0) = composition(converse(sK0),sF8),
    inference(forward_demodulation,[],[f12354,f12346]) ).

fof(f14386,plain,
    composition(converse(sF8),sK0) = converse(converse(sK0)),
    inference(superposition,[],[f59,f12358]) ).

fof(f14407,plain,
    sK0 = composition(converse(sF8),sK0),
    inference(forward_demodulation,[],[f14386,f25]) ).

fof(f29042,plain,
    ! [X0] : join(complement(join(composition(sF8,sF3),sF9)),complement(X0)) = join(complement(X0),complement(composition(sF8,top))),
    inference(superposition,[],[f10211,f1052]) ).

fof(f29819,plain,
    ! [X0] : join(complement(X0),complement(composition(sF8,sK0))) = join(complement(join(composition(sF8,sF3),sF9)),complement(X0)),
    inference(forward_demodulation,[],[f29042,f7126]) ).

fof(f30086,plain,
    ! [X0] : join(complement(composition(sF8,top)),complement(X0)) = join(complement(X0),complement(composition(sF8,sK0))),
    inference(forward_demodulation,[],[f29819,f6295]) ).

fof(f30178,plain,
    ! [X0] : complement(composition(sF8,complement(complement(X0)))) = join(complement(X0),complement(composition(sF8,sK0))),
    inference(forward_demodulation,[],[f30086,f6772]) ).

fof(f30215,plain,
    ! [X0] : complement(composition(sF8,X0)) = join(complement(X0),complement(composition(sF8,sK0))),
    inference(forward_demodulation,[],[f30178,f676]) ).

fof(f30240,plain,
    ! [X0] : complement(composition(sF8,complement(X0))) = join(X0,complement(composition(sF8,sK0))),
    inference(superposition,[],[f30215,f676]) ).

fof(f55525,plain,
    ! [X0] : join(composition(converse(sF8),X0),complement(top)) = join(composition(converse(sF8),join(X0,complement(composition(sF8,sK0)))),complement(top)),
    inference(superposition,[],[f5504,f7126]) ).

fof(f55754,plain,
    ! [X0] : join(composition(converse(sF8),X0),zero) = join(composition(converse(sF8),join(X0,complement(composition(sF8,sK0)))),zero),
    inference(forward_demodulation,[],[f55525,f368]) ).

fof(f55829,plain,
    ! [X0] : composition(converse(sF8),join(X0,complement(composition(sF8,sK0)))) = join(composition(converse(sF8),X0),zero),
    inference(forward_demodulation,[],[f55754,f649]) ).

fof(f55868,plain,
    ! [X0] : composition(converse(sF8),X0) = composition(converse(sF8),join(X0,complement(composition(sF8,sK0)))),
    inference(forward_demodulation,[],[f55829,f649]) ).

fof(f55892,plain,
    ! [X0] : composition(converse(sF8),X0) = composition(converse(sF8),complement(composition(sF8,complement(X0)))),
    inference(forward_demodulation,[],[f55868,f30240]) ).

fof(f56209,plain,
    ! [X0] : composition(converse(sF8),complement(X0)) = composition(converse(sF8),complement(composition(sF8,X0))),
    inference(superposition,[],[f55892,f676]) ).

fof(f56223,plain,
    composition(converse(sF8),sF8) = composition(converse(sF8),complement(composition(sF8,sF7))),
    inference(superposition,[],[f55892,f686]) ).

fof(f56288,plain,
    composition(converse(sF8),sF8) = composition(converse(sF8),complement(composition(sF8,sF6))),
    inference(forward_demodulation,[],[f56223,f7065]) ).

fof(f56323,plain,
    composition(converse(sF8),sF8) = composition(converse(sF8),complement(sF6)),
    inference(forward_demodulation,[],[f56288,f56209]) ).

fof(f56342,plain,
    composition(converse(sF8),one) = composition(converse(sF8),sF8),
    inference(forward_demodulation,[],[f56323,f681]) ).

fof(f56351,plain,
    converse(sF8) = composition(converse(sF8),sF8),
    inference(forward_demodulation,[],[f56342,f23]) ).

fof(f56580,plain,
    converse(sF8) = converse(converse(sF8)),
    inference(superposition,[],[f59,f56351]) ).

fof(f56617,plain,
    sF8 = converse(sF8),
    inference(forward_demodulation,[],[f56580,f25]) ).

fof(f56643,plain,
    sK0 = composition(sF8,sK0),
    inference(superposition,[],[f14407,f56617]) ).

fof(f56685,plain,
    ! [X0] : join(complement(X0),complement(sK0)) = complement(composition(sF8,X0)),
    inference(superposition,[],[f30215,f56643]) ).

fof(f56722,plain,
    ! [X0] : join(complement(X0),sF2) = complement(composition(sF8,X0)),
    inference(forward_demodulation,[],[f56685,f36]) ).

fof(f56748,plain,
    complement(sF9) = join(complement(sK1),sF2),
    inference(superposition,[],[f56722,f50]) ).

fof(f56982,plain,
    complement(sF9) = join(sF3,sF2),
    inference(forward_demodulation,[],[f56748,f38]) ).

fof(f57036,plain,
    complement(sF9) = join(sF2,sF4),
    inference(forward_demodulation,[],[f56982,f2016]) ).

fof(f57067,plain,
    sF4 = complement(sF9),
    inference(forward_demodulation,[],[f57036,f2694]) ).

fof(f57161,plain,
    complement(sF4) = sF9,
    inference(superposition,[],[f676,f57067]) ).

fof(f57227,plain,
    sF5 = sF9,
    inference(forward_demodulation,[],[f57161,f42]) ).

fof(f57281,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f57227,f51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : REL020+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45  % Computer : n019.cluster.edu
% 0.17/0.45  % Model    : x86_64 x86_64
% 0.17/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45  % Memory   : 8046.5625MB
% 0.17/0.45  % OS       : Linux 6.8.0-71-generic
% 0.17/0.45  % CPULimit : 300
% 0.17/0.45  % WCLimit  : 300
% 0.17/0.45  % DateTime : Sun Sep 27 22:52:03 UTC 2026
% 0.17/0.45  % CPUTime  : 
% 0.17/0.45  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.51  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
% 25.88/4.72  % (3493689)Detected formulas, will run a generic FOF schedule.
% 25.88/4.72  % (3493698)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3115633407:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 25.88/4.72  % (3493700)dis-21_1_sil=8000:lcm=predicate:random_seed=3274823268: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)
% 25.88/4.72  % (3493700)Refutation not found, incomplete strategy
% 25.88/4.72  % (3493700)------------------------------
% 25.88/4.72  % (3493700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.88/4.72  % (3493700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.88/4.72  % (3493700)CaDiCaL version: 2.1.3
% 25.88/4.72  % (3493700)Termination reason: Refutation not found, incomplete strategy
% 25.88/4.72  % (3493700)Time elapsed: 0.003 s
% 25.88/4.72  % (3493700)Peak memory usage: 88 MB
% 25.88/4.72  % (3493700)Instructions burned: 1 (million)
% 25.88/4.72  % (3493696)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=1467903897:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 25.88/4.72  % (3493698)Instruction limit reached! 
% 25.88/4.72  % (3493698)------------------------------
% 25.88/4.72  % (3493698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.88/4.72  % (3493698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.88/4.72  % (3493698)CaDiCaL version: 2.1.3
% 25.88/4.72  % (3493698)Termination reason: Instruction limit
% 25.88/4.72  % (3493698)Termination phase: Saturation
% 25.88/4.72  % (3493698)Time elapsed: 0.061 s
% 25.88/4.72  % (3493698)Peak memory usage: 89 MB
% 25.88/4.72  % (3493698)Instructions burned: 120 (million)
% 25.88/4.72  % (3493694)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=1165613655:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 25.88/4.72  % (3493697)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=939059593:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 25.88/4.72  % (3493695)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=650916438:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 25.88/4.72  % (3493699)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=257887243:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 25.88/4.72  % (3493697)Instruction limit reached! 
% 25.88/4.72  % (3493697)------------------------------
% 25.88/4.72  % (3493697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.88/4.72  % (3493697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.88/4.72  % (3493697)CaDiCaL version: 2.1.3
% 25.88/4.72  % (3493697)Termination reason: Instruction limit
% 25.88/4.72  % (3493697)Termination phase: Saturation
% 25.88/4.72  % (3493697)Time elapsed: 0.108 s
% 25.88/4.72  % (3493697)Peak memory usage: 89 MB
% 25.88/4.72  % (3493697)Instructions burned: 109 (million)
% 25.88/4.72  % (3493704)lrs+10_1_sil=8000:sp=occurrence:random_seed=1824282039:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 25.88/4.72  % (3493699)Instruction limit reached! 
% 25.88/4.72  % (3493699)------------------------------
% 25.88/4.72  % (3493699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.88/4.72  % (3493699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.88/4.72  % (3493699)CaDiCaL version: 2.1.3
% 25.88/4.72  % (3493699)Termination reason: Instruction limit
% 25.88/4.72  % (3493699)Termination phase: Saturation
% 25.88/4.72  % (3493699)Time elapsed: 0.129 s
% 25.88/4.72  % (3493699)Peak memory usage: 89 MB
% 25.88/4.72  % (3493699)Instructions burned: 139 (million)
% 25.88/4.72  % (3493700)------------------------------
% 25.88/4.72  % (3493700)------------------------------
% 25.88/4.72  % (3493704)Instruction limit reached! 
% 25.88/4.72  % (3493704)------------------------------
% 25.88/4.72  % (3493704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.88/4.72  % (3493704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.88/4.72  % (3493704)CaDiCaL version: 2.1.3
% 25.88/4.72  % (3493704)Termination reason: Instruction limit
% 25.88/4.72  % (3493704)Termination phase: Saturation
% 25.88/4.72  % (3493704)Time elapsed: 0.199 s
% 36.50/6.22  % (3493704)Peak memory usage: 92 MB
% 36.50/6.22  % (3493704)Instructions burned: 286 (million)
% 36.50/6.22  % (3493709)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3242310589:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 36.50/6.22  % (3493711)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1033972355:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 36.50/6.22  % (3493709)Instruction limit reached! 
% 36.50/6.22  % (3493709)------------------------------
% 36.50/6.22  % (3493709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.50/6.22  % (3493709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.22  % (3493709)CaDiCaL version: 2.1.3
% 36.50/6.22  % (3493709)Termination reason: Instruction limit
% 36.50/6.22  % (3493709)Termination phase: Saturation
% 36.50/6.22  % (3493709)Time elapsed: 0.158 s
% 36.50/6.22  % (3493709)Peak memory usage: 91 MB
% 36.50/6.22  % (3493709)Instructions burned: 157 (million)
% 36.50/6.22  % (3493713)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3192629133:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 36.50/6.22  % (3493712)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=80812066:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 36.50/6.22  % (3493711)Instruction limit reached! 
% 36.50/6.22  % (3493711)------------------------------
% 36.50/6.22  % (3493711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.50/6.22  % (3493711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.22  % (3493711)CaDiCaL version: 2.1.3
% 36.50/6.22  % (3493711)Termination reason: Instruction limit
% 36.50/6.22  % (3493711)Termination phase: Saturation
% 36.50/6.22  % (3493711)Time elapsed: 0.327 s
% 36.50/6.22  % (3493711)Peak memory usage: 92 MB
% 36.50/6.22  % (3493711)Instructions burned: 325 (million)
% 36.50/6.22  % (3493712)Instruction limit reached! 
% 36.50/6.22  % (3493712)------------------------------
% 36.50/6.22  % (3493712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.50/6.22  % (3493712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.22  % (3493712)CaDiCaL version: 2.1.3
% 36.50/6.22  % (3493712)Termination reason: Instruction limit
% 36.50/6.22  % (3493712)Termination phase: Saturation
% 36.50/6.22  % (3493712)Time elapsed: 0.248 s
% 36.50/6.22  % (3493712)Peak memory usage: 92 MB
% 36.50/6.22  % (3493712)Instructions burned: 248 (million)
% 36.50/6.22  % (3493716)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3244766188:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 36.50/6.22  % (3493713)Instruction limit reached! 
% 36.50/6.22  % (3493713)------------------------------
% 36.50/6.22  % (3493713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.50/6.22  % (3493713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.22  % (3493713)CaDiCaL version: 2.1.3
% 36.50/6.22  % (3493713)Termination reason: Instruction limit
% 36.50/6.22  % (3493713)Termination phase: Saturation
% 36.50/6.22  % (3493713)Time elapsed: 0.290 s
% 36.50/6.22  % (3493713)Peak memory usage: 92 MB
% 36.50/6.22  % (3493713)Instructions burned: 294 (million)
% 36.50/6.22  % (3493719)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4036656286:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 36.50/6.22  % (3493720)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3493070906:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 36.50/6.22  % (3493720)Refutation not found, incomplete strategy
% 36.50/6.22  % (3493720)------------------------------
% 36.50/6.22  % (3493720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.50/6.22  % (3493720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.50/6.22  % (3493720)CaDiCaL version: 2.1.3
% 36.50/6.22  % (3493720)Termination reason: Refutation not found, incomplete strategy
% 36.50/6.22  % (3493720)Time elapsed: 0.002 s
% 36.50/6.22  % (3493720)Peak memory usage: 87 MB
% 36.50/6.22  % (3493722)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1757358589:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 36.50/6.22  % (3493719)Instruction limit reached! 
% 36.50/6.22  % (3493719)------------------------------
% 36.50/6.22  % (3493719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493719)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493719)Termination reason: Instruction limit
% 39.57/6.78  % (3493719)Termination phase: Saturation
% 39.57/6.78  % (3493719)Time elapsed: 0.110 s
% 39.57/6.78  % (3493719)Peak memory usage: 90 MB
% 39.57/6.78  % (3493719)Instructions burned: 114 (million)
% 39.57/6.78  % (3493722)Instruction limit reached! 
% 39.57/6.78  % (3493722)------------------------------
% 39.57/6.78  % (3493722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493722)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493722)Termination reason: Instruction limit
% 39.57/6.78  % (3493722)Termination phase: Saturation
% 39.57/6.78  % (3493722)Time elapsed: 0.103 s
% 39.57/6.78  % (3493722)Peak memory usage: 89 MB
% 39.57/6.78  % (3493722)Instructions burned: 115 (million)
% 39.57/6.78  % (3493726)lrs+10_1_sil=8000:sp=occurrence:random_seed=1430631375:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 39.57/6.78  % (3493727)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1867618509:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 39.57/6.78  % (3493720)------------------------------
% 39.57/6.78  % (3493720)------------------------------
% 39.57/6.78  % (3493730)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3683080700:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 39.57/6.78  % (3493727)Instruction limit reached! 
% 39.57/6.78  % (3493727)------------------------------
% 39.57/6.78  % (3493727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493727)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493727)Termination reason: Instruction limit
% 39.57/6.78  % (3493727)Termination phase: Saturation
% 39.57/6.78  % (3493727)Time elapsed: 0.370 s
% 39.57/6.78  % (3493727)Peak memory usage: 92 MB
% 39.57/6.78  % (3493727)Instructions burned: 437 (million)
% 39.57/6.78  % (3493734)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2515451162:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 39.57/6.78  % (3493734)Refutation not found, incomplete strategy
% 39.57/6.78  % (3493734)------------------------------
% 39.57/6.78  % (3493734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493734)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493734)Termination reason: Refutation not found, incomplete strategy
% 39.57/6.78  % (3493734)Time elapsed: 0.003 s
% 39.57/6.78  % (3493734)Peak memory usage: 89 MB
% 39.57/6.78  % (3493734)Instructions burned: 1 (million)
% 39.57/6.78  % (3493726)Instruction limit reached! 
% 39.57/6.78  % (3493726)------------------------------
% 39.57/6.78  % (3493726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493726)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493726)Termination reason: Instruction limit
% 39.57/6.78  % (3493726)Termination phase: Saturation
% 39.57/6.78  % (3493726)Time elapsed: 0.871 s
% 39.57/6.78  % (3493726)Peak memory usage: 97 MB
% 39.57/6.78  % (3493726)Instructions burned: 908 (million)
% 39.57/6.78  % (3493734)------------------------------
% 39.57/6.78  % (3493734)------------------------------
% 39.57/6.78  % (3493736)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2728835943:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 39.57/6.78  % (3493739)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2799913939:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 39.57/6.78  % (3493736)Instruction limit reached! 
% 39.57/6.78  % (3493736)------------------------------
% 39.57/6.78  % (3493736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493736)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493736)Termination reason: Instruction limit
% 39.57/6.78  % (3493736)Termination phase: Saturation
% 39.57/6.78  % (3493736)Time elapsed: 0.582 s
% 39.57/6.78  % (3493736)Peak memory usage: 95 MB
% 39.57/6.78  % (3493736)Instructions burned: 592 (million)
% 39.57/6.78  % (3493716)Instruction limit reached! 
% 39.57/6.78  % (3493716)------------------------------
% 39.57/6.78  % (3493716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493716)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493716)Termination reason: Instruction limit
% 39.57/6.78  % (3493716)Termination phase: Saturation
% 39.57/6.78  % (3493716)Time elapsed: 2.477 s
% 39.57/6.78  % (3493716)Peak memory usage: 141 MB
% 39.57/6.78  % (3493716)Instructions burned: 2351 (million)
% 39.57/6.78  % (3493742)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=959543904:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/125Mi)
% 39.57/6.78  % (3493743)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2560595163:i=134:gtgl=5:slsql=off:gtg=exists_sym_2963 on theBenchmark for (2963ds/134Mi)
% 39.57/6.78  % (3493743)Instruction limit reached! 
% 39.57/6.78  % (3493743)------------------------------
% 39.57/6.78  % (3493743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493743)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493743)Termination reason: Instruction limit
% 39.57/6.78  % (3493743)Termination phase: Saturation
% 39.57/6.78  % (3493743)Time elapsed: 0.128 s
% 39.57/6.78  % (3493743)Peak memory usage: 89 MB
% 39.57/6.78  % (3493743)Instructions burned: 135 (million)
% 39.57/6.78  % (3493742)Instruction limit reached! 
% 39.57/6.78  % (3493742)------------------------------
% 39.57/6.78  % (3493742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493742)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493742)Termination reason: Instruction limit
% 39.57/6.78  % (3493742)Termination phase: Saturation
% 39.57/6.78  % (3493742)Time elapsed: 0.149 s
% 39.57/6.78  % (3493742)Peak memory usage: 90 MB
% 39.57/6.78  % (3493742)Instructions burned: 125 (million)
% 39.57/6.78  % (3493746)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4261273560:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/141Mi)
% 39.57/6.78  % (3493747)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3345066542:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2960 on theBenchmark for (2960ds/431Mi)
% 39.57/6.78  % (3493746)Refutation not found, incomplete strategy
% 39.57/6.78  % (3493746)------------------------------
% 39.57/6.78  % (3493746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493746)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493746)Termination reason: Refutation not found, incomplete strategy
% 39.57/6.78  % (3493746)Time elapsed: 0.002 s
% 39.57/6.78  % (3493746)Peak memory usage: 88 MB
% 39.57/6.78  % (3493747)Refutation not found, incomplete strategy
% 39.57/6.78  % (3493747)------------------------------
% 39.57/6.78  % (3493747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493747)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493747)Termination reason: Refutation not found, incomplete strategy
% 39.57/6.78  % (3493747)Time elapsed: 0.002 s
% 39.57/6.78  % (3493747)Peak memory usage: 88 MB
% 39.57/6.78  % (3493746)------------------------------
% 39.57/6.78  % (3493746)------------------------------
% 39.57/6.78  % (3493747)------------------------------
% 39.57/6.78  % (3493747)------------------------------
% 39.57/6.78  % (3493752)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=926121252:i=6060:aac=none:ins=25_2953 on theBenchmark for (2953ds/6060Mi)
% 39.57/6.78  % (3493753)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=3699761400:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2953 on theBenchmark for (2953ds/150Mi)
% 39.57/6.78  % (3493753)Instruction limit reached! 
% 39.57/6.78  % (3493753)------------------------------
% 39.57/6.78  % (3493753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.57/6.78  % (3493753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.57/6.78  % (3493753)CaDiCaL version: 2.1.3
% 39.57/6.78  % (3493753)Termination reason: Instruction limit
% 39.57/6.78  % (3493753)Termination phase: Saturation
% 39.57/6.78  % (3493753)Time elapsed: 0.131 s
% 39.57/6.78  % (3493753)Peak memory usage: 90 MB
% 39.57/6.78  % (3493753)Instructions burned: 151 (million)
% 39.57/6.78  % (3493694)First to succeed.
% 39.57/6.78  % (3493694)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3493689"
% 39.57/6.78  % (3493756)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=966252408:i=14155:bd=all_2949 on theBenchmark for (2949ds/14155Mi)
% 39.57/6.78  % (3493694)Refutation found. Thanks to Tanya!
% 39.57/6.78  % SZS status Theorem for theBenchmark
% 39.57/6.78  % SZS output start Proof for theBenchmark
% See solution above
% 40.77/7.08  % (3493694)------------------------------
% 40.77/7.08  % (3493694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.77/7.08  % (3493694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.77/7.08  % (3493694)CaDiCaL version: 2.1.3
% 40.77/7.08  % (3493694)Termination reason: Refutation
% 40.77/7.08  % (3493694)Time elapsed: 4.945 s
% 40.77/7.08  % (3493694)Peak memory usage: 164 MB
% 40.77/7.08  % (3493694)Instructions burned: 4836 (million)
% 40.77/7.08  % (3493694)------------------------------
% 40.77/7.08  % (3493694)------------------------------
% 40.77/7.08  % (3493689)Success in time 5.651 s
% 40.77/7.08  % Vampire exiting
%------------------------------------------------------------------------------