TSTP Solution File: GRP180-1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : GRP180-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 07:16:11 EDT 2024

% Result   : Unsatisfiable 33.44s 5.16s
% Output   : Refutation 33.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  235 ( 235 unt;   0 def)
%            Number of atoms       :  235 ( 234 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  250 ( 250   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f315021,plain,
    $false,
    inference(subsumption_resolution,[],[f315020,f22]) ).

fof(f22,plain,
    sF3 != sF4,
    inference(definition_folding,[],[f16,f21,f20,f19,f18,f17]) ).

fof(f17,plain,
    greatest_lower_bound(a,b) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f18,plain,
    inverse(sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f19,plain,
    multiply(sF1,b) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f20,plain,
    multiply(a,sF2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f21,plain,
    least_upper_bound(a,b) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f16,axiom,
    multiply(a,multiply(inverse(greatest_lower_bound(a,b)),b)) != least_upper_bound(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f315020,plain,
    sF3 = sF4,
    inference(forward_demodulation,[],[f315019,f244]) ).

fof(f244,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(superposition,[],[f231,f159]) ).

fof(f159,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f152,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f152,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f146,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f146,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f231,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(superposition,[],[f160,f159]) ).

fof(f160,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f152,f152]) ).

fof(f315019,plain,
    sF3 = inverse(inverse(sF4)),
    inference(forward_demodulation,[],[f315018,f157]) ).

fof(f157,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f152,f1]) ).

fof(f315018,plain,
    inverse(inverse(sF4)) = multiply(inverse(identity),sF3),
    inference(forward_demodulation,[],[f314977,f314990]) ).

fof(f314990,plain,
    inverse(sF4) = greatest_lower_bound(inverse(a),inverse(b)),
    inference(forward_demodulation,[],[f314989,f88716]) ).

fof(f88716,plain,
    inverse(sF4) = greatest_lower_bound(inverse(sF4),inverse(a)),
    inference(superposition,[],[f11,f88431]) ).

fof(f88431,plain,
    inverse(a) = least_upper_bound(inverse(sF4),inverse(a)),
    inference(forward_demodulation,[],[f88430,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f88430,plain,
    inverse(a) = least_upper_bound(inverse(a),inverse(sF4)),
    inference(forward_demodulation,[],[f88176,f231]) ).

fof(f88176,plain,
    inverse(a) = least_upper_bound(inverse(a),multiply(inverse(sF4),identity)),
    inference(superposition,[],[f53823,f232]) ).

fof(f232,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f160,f2]) ).

fof(f53823,plain,
    ! [X0] : least_upper_bound(X0,multiply(inverse(sF4),multiply(a,X0))) = X0,
    inference(forward_demodulation,[],[f53822,f1]) ).

fof(f53822,plain,
    ! [X0] : multiply(identity,X0) = least_upper_bound(X0,multiply(inverse(sF4),multiply(a,X0))),
    inference(forward_demodulation,[],[f53798,f3]) ).

fof(f53798,plain,
    ! [X0] : multiply(identity,X0) = least_upper_bound(X0,multiply(multiply(inverse(sF4),a),X0)),
    inference(superposition,[],[f18516,f53693]) ).

fof(f53693,plain,
    identity = least_upper_bound(identity,multiply(inverse(sF4),a)),
    inference(forward_demodulation,[],[f53692,f10362]) ).

fof(f10362,plain,
    ! [X0,X1] : multiply(inverse(X0),least_upper_bound(X0,X1)) = least_upper_bound(identity,multiply(inverse(X0),X1)),
    inference(superposition,[],[f12,f2]) ).

fof(f12,axiom,
    ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f53692,plain,
    identity = multiply(inverse(sF4),least_upper_bound(sF4,a)),
    inference(forward_demodulation,[],[f53623,f47492]) ).

fof(f47492,plain,
    ! [X0,X1] : multiply(inverse(X1),least_upper_bound(a,X0)) = multiply(inverse(X1),least_upper_bound(X0,a)),
    inference(forward_demodulation,[],[f47457,f2214]) ).

fof(f2214,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(superposition,[],[f663,f233]) ).

fof(f233,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[],[f160,f152]) ).

fof(f663,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(forward_demodulation,[],[f604,f244]) ).

fof(f604,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
    inference(superposition,[],[f571,f571]) ).

fof(f571,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
    inference(forward_demodulation,[],[f481,f231]) ).

fof(f481,plain,
    ! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
    inference(superposition,[],[f152,f293]) ).

fof(f293,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f232,f3]) ).

fof(f47457,plain,
    ! [X0,X1] : multiply(inverse(X1),least_upper_bound(a,X0)) = inverse(multiply(inverse(least_upper_bound(X0,a)),X1)),
    inference(superposition,[],[f2214,f47425]) ).

fof(f47425,plain,
    ! [X0] : inverse(least_upper_bound(a,X0)) = inverse(least_upper_bound(X0,a)),
    inference(forward_demodulation,[],[f47343,f231]) ).

fof(f47343,plain,
    ! [X0] : inverse(least_upper_bound(a,X0)) = multiply(inverse(least_upper_bound(X0,a)),identity),
    inference(superposition,[],[f152,f38336]) ).

fof(f38336,plain,
    ! [X0] : identity = multiply(least_upper_bound(X0,a),inverse(least_upper_bound(a,X0))),
    inference(forward_demodulation,[],[f38314,f26944]) ).

fof(f26944,plain,
    ! [X0] : inverse(least_upper_bound(a,X0)) = multiply(sF2,inverse(least_upper_bound(sF3,multiply(X0,sF2)))),
    inference(superposition,[],[f571,f18546]) ).

fof(f18546,plain,
    ! [X0] : multiply(least_upper_bound(a,X0),sF2) = least_upper_bound(sF3,multiply(X0,sF2)),
    inference(superposition,[],[f14,f20]) ).

fof(f14,axiom,
    ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f38314,plain,
    ! [X0] : identity = multiply(least_upper_bound(X0,a),multiply(sF2,inverse(least_upper_bound(sF3,multiply(X0,sF2))))),
    inference(superposition,[],[f293,f18721]) ).

fof(f18721,plain,
    ! [X0] : least_upper_bound(sF3,multiply(X0,sF2)) = multiply(least_upper_bound(X0,a),sF2),
    inference(forward_demodulation,[],[f18607,f5]) ).

fof(f18607,plain,
    ! [X0] : multiply(least_upper_bound(X0,a),sF2) = least_upper_bound(multiply(X0,sF2),sF3),
    inference(superposition,[],[f14,f20]) ).

fof(f53623,plain,
    identity = multiply(inverse(sF4),least_upper_bound(a,sF4)),
    inference(superposition,[],[f47443,f37]) ).

fof(f37,plain,
    sF4 = least_upper_bound(sF4,a),
    inference(superposition,[],[f10,f36]) ).

fof(f36,plain,
    a = greatest_lower_bound(sF4,a),
    inference(forward_demodulation,[],[f33,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f33,plain,
    a = greatest_lower_bound(a,sF4),
    inference(superposition,[],[f11,f21]) ).

fof(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f47443,plain,
    ! [X0] : identity = multiply(inverse(least_upper_bound(X0,a)),least_upper_bound(a,X0)),
    inference(superposition,[],[f2,f47425]) ).

fof(f18516,plain,
    ! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
    inference(superposition,[],[f14,f1]) ).

fof(f11,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f314989,plain,
    greatest_lower_bound(inverse(a),inverse(b)) = greatest_lower_bound(inverse(sF4),inverse(a)),
    inference(forward_demodulation,[],[f314988,f99547]) ).

fof(f99547,plain,
    ! [X0] : greatest_lower_bound(inverse(sF4),X0) = greatest_lower_bound(inverse(sF4),greatest_lower_bound(X0,inverse(b))),
    inference(forward_demodulation,[],[f99537,f744]) ).

fof(f744,plain,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X2,greatest_lower_bound(X0,X1)),
    inference(superposition,[],[f6,f4]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f99537,plain,
    ! [X0] : greatest_lower_bound(inverse(sF4),X0) = greatest_lower_bound(inverse(b),greatest_lower_bound(inverse(sF4),X0)),
    inference(superposition,[],[f731,f99509]) ).

fof(f99509,plain,
    inverse(sF4) = greatest_lower_bound(inverse(sF4),inverse(b)),
    inference(superposition,[],[f11,f99293]) ).

fof(f99293,plain,
    inverse(b) = least_upper_bound(inverse(sF4),inverse(b)),
    inference(forward_demodulation,[],[f99292,f5]) ).

fof(f99292,plain,
    inverse(b) = least_upper_bound(inverse(b),inverse(sF4)),
    inference(forward_demodulation,[],[f99024,f231]) ).

fof(f99024,plain,
    inverse(b) = least_upper_bound(inverse(b),multiply(inverse(sF4),identity)),
    inference(superposition,[],[f20550,f232]) ).

fof(f20550,plain,
    ! [X0] : least_upper_bound(X0,multiply(inverse(sF4),multiply(b,X0))) = X0,
    inference(forward_demodulation,[],[f20549,f1]) ).

fof(f20549,plain,
    ! [X0] : multiply(identity,X0) = least_upper_bound(X0,multiply(inverse(sF4),multiply(b,X0))),
    inference(forward_demodulation,[],[f20413,f3]) ).

fof(f20413,plain,
    ! [X0] : multiply(identity,X0) = least_upper_bound(X0,multiply(multiply(inverse(sF4),b),X0)),
    inference(superposition,[],[f18516,f16046]) ).

fof(f16046,plain,
    identity = least_upper_bound(identity,multiply(inverse(sF4),b)),
    inference(forward_demodulation,[],[f16007,f10502]) ).

fof(f10502,plain,
    ! [X0,X1] : least_upper_bound(identity,multiply(inverse(X0),X1)) = multiply(inverse(X0),least_upper_bound(X1,X0)),
    inference(forward_demodulation,[],[f10412,f5]) ).

fof(f10412,plain,
    ! [X0,X1] : multiply(inverse(X0),least_upper_bound(X1,X0)) = least_upper_bound(multiply(inverse(X0),X1),identity),
    inference(superposition,[],[f12,f2]) ).

fof(f16007,plain,
    identity = multiply(inverse(sF4),least_upper_bound(b,sF4)),
    inference(superposition,[],[f15835,f72]) ).

fof(f72,plain,
    sF4 = least_upper_bound(sF4,b),
    inference(superposition,[],[f10,f68]) ).

fof(f68,plain,
    b = greatest_lower_bound(sF4,b),
    inference(forward_demodulation,[],[f60,f4]) ).

fof(f60,plain,
    b = greatest_lower_bound(b,sF4),
    inference(superposition,[],[f30,f21]) ).

fof(f30,plain,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
    inference(superposition,[],[f11,f5]) ).

fof(f15835,plain,
    ! [X0] : identity = multiply(inverse(least_upper_bound(X0,b)),least_upper_bound(b,X0)),
    inference(superposition,[],[f2,f15436]) ).

fof(f15436,plain,
    ! [X0] : inverse(least_upper_bound(b,X0)) = inverse(least_upper_bound(X0,b)),
    inference(forward_demodulation,[],[f15435,f191]) ).

fof(f191,plain,
    ! [X0] : multiply(sF0,multiply(sF1,X0)) = X0,
    inference(superposition,[],[f164,f152]) ).

fof(f164,plain,
    ! [X0] : multiply(sF0,X0) = multiply(inverse(sF1),X0),
    inference(superposition,[],[f152,f153]) ).

fof(f153,plain,
    ! [X0] : multiply(sF1,multiply(sF0,X0)) = X0,
    inference(forward_demodulation,[],[f149,f1]) ).

fof(f149,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF1,multiply(sF0,X0)),
    inference(superposition,[],[f3,f23]) ).

fof(f23,plain,
    identity = multiply(sF1,sF0),
    inference(superposition,[],[f2,f18]) ).

fof(f15435,plain,
    ! [X0] : inverse(least_upper_bound(b,multiply(sF0,multiply(sF1,X0)))) = inverse(least_upper_bound(X0,b)),
    inference(forward_demodulation,[],[f15434,f10488]) ).

fof(f10488,plain,
    ! [X0] : multiply(sF0,least_upper_bound(sF2,X0)) = least_upper_bound(b,multiply(sF0,X0)),
    inference(forward_demodulation,[],[f10487,f164]) ).

fof(f10487,plain,
    ! [X0] : multiply(inverse(sF1),least_upper_bound(sF2,X0)) = least_upper_bound(b,multiply(sF0,X0)),
    inference(forward_demodulation,[],[f10375,f164]) ).

fof(f10375,plain,
    ! [X0] : multiply(inverse(sF1),least_upper_bound(sF2,X0)) = least_upper_bound(b,multiply(inverse(sF1),X0)),
    inference(superposition,[],[f12,f162]) ).

fof(f162,plain,
    b = multiply(inverse(sF1),sF2),
    inference(superposition,[],[f152,f19]) ).

fof(f15434,plain,
    ! [X0] : inverse(multiply(sF0,least_upper_bound(sF2,multiply(sF1,X0)))) = inverse(least_upper_bound(X0,b)),
    inference(forward_demodulation,[],[f15418,f2244]) ).

fof(f2244,plain,
    ! [X0] : inverse(multiply(sF0,X0)) = multiply(inverse(X0),sF1),
    inference(superposition,[],[f663,f153]) ).

fof(f15418,plain,
    ! [X0] : multiply(inverse(least_upper_bound(sF2,multiply(sF1,X0))),sF1) = inverse(least_upper_bound(X0,b)),
    inference(superposition,[],[f663,f10533]) ).

fof(f10533,plain,
    ! [X0] : least_upper_bound(sF2,multiply(sF1,X0)) = multiply(sF1,least_upper_bound(X0,b)),
    inference(forward_demodulation,[],[f10447,f5]) ).

fof(f10447,plain,
    ! [X0] : multiply(sF1,least_upper_bound(X0,b)) = least_upper_bound(multiply(sF1,X0),sF2),
    inference(superposition,[],[f12,f19]) ).

fof(f731,plain,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X1,X0),X2),
    inference(superposition,[],[f6,f4]) ).

fof(f314988,plain,
    greatest_lower_bound(inverse(a),inverse(b)) = greatest_lower_bound(inverse(sF4),greatest_lower_bound(inverse(a),inverse(b))),
    inference(forward_demodulation,[],[f314987,f744]) ).

fof(f314987,plain,
    greatest_lower_bound(inverse(a),inverse(b)) = greatest_lower_bound(inverse(a),greatest_lower_bound(inverse(b),inverse(sF4))),
    inference(forward_demodulation,[],[f314986,f231]) ).

fof(f314986,plain,
    greatest_lower_bound(inverse(a),inverse(b)) = greatest_lower_bound(inverse(a),greatest_lower_bound(inverse(b),multiply(inverse(sF4),identity))),
    inference(forward_demodulation,[],[f314960,f6]) ).

fof(f314960,plain,
    greatest_lower_bound(inverse(a),inverse(b)) = greatest_lower_bound(greatest_lower_bound(inverse(a),inverse(b)),multiply(inverse(sF4),identity)),
    inference(superposition,[],[f114037,f314752]) ).

fof(f314752,plain,
    identity = multiply(sF3,greatest_lower_bound(inverse(a),inverse(b))),
    inference(forward_demodulation,[],[f314751,f14926]) ).

fof(f14926,plain,
    ! [X0] : multiply(sF3,greatest_lower_bound(X0,inverse(b))) = greatest_lower_bound(multiply(sF3,X0),multiply(a,sF1)),
    inference(superposition,[],[f13,f317]) ).

fof(f317,plain,
    multiply(sF3,inverse(b)) = multiply(a,sF1),
    inference(superposition,[],[f147,f313]) ).

fof(f313,plain,
    sF1 = multiply(sF2,inverse(b)),
    inference(forward_demodulation,[],[f304,f207]) ).

fof(f207,plain,
    sF1 = multiply(sF1,identity),
    inference(superposition,[],[f153,f190]) ).

fof(f190,plain,
    identity = multiply(sF0,sF1),
    inference(superposition,[],[f164,f2]) ).

fof(f304,plain,
    multiply(sF1,identity) = multiply(sF2,inverse(b)),
    inference(superposition,[],[f148,f232]) ).

fof(f148,plain,
    ! [X0] : multiply(sF2,X0) = multiply(sF1,multiply(b,X0)),
    inference(superposition,[],[f3,f19]) ).

fof(f147,plain,
    ! [X0] : multiply(a,multiply(sF2,X0)) = multiply(sF3,X0),
    inference(superposition,[],[f3,f20]) ).

fof(f13,axiom,
    ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f314751,plain,
    identity = greatest_lower_bound(multiply(sF3,inverse(a)),multiply(a,sF1)),
    inference(forward_demodulation,[],[f314750,f207]) ).

fof(f314750,plain,
    identity = greatest_lower_bound(multiply(sF3,inverse(a)),multiply(a,multiply(sF1,identity))),
    inference(forward_demodulation,[],[f314749,f4]) ).

fof(f314749,plain,
    identity = greatest_lower_bound(multiply(a,multiply(sF1,identity)),multiply(sF3,inverse(a))),
    inference(forward_demodulation,[],[f314748,f14903]) ).

fof(f14903,plain,
    ! [X0,X1] : multiply(a,greatest_lower_bound(X1,multiply(sF2,X0))) = greatest_lower_bound(multiply(a,X1),multiply(sF3,X0)),
    inference(superposition,[],[f13,f147]) ).

fof(f314748,plain,
    identity = multiply(a,greatest_lower_bound(multiply(sF1,identity),multiply(sF2,inverse(a)))),
    inference(forward_demodulation,[],[f314747,f14917]) ).

fof(f14917,plain,
    ! [X0,X1] : multiply(sF1,greatest_lower_bound(X1,multiply(b,X0))) = greatest_lower_bound(multiply(sF1,X1),multiply(sF2,X0)),
    inference(superposition,[],[f13,f148]) ).

fof(f314747,plain,
    identity = multiply(a,multiply(sF1,greatest_lower_bound(identity,multiply(b,inverse(a))))),
    inference(forward_demodulation,[],[f314746,f21875]) ).

fof(f21875,plain,
    ! [X0,X1] : multiply(greatest_lower_bound(X0,X1),inverse(X0)) = greatest_lower_bound(identity,multiply(X1,inverse(X0))),
    inference(superposition,[],[f15,f232]) ).

fof(f15,axiom,
    ! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f314746,plain,
    identity = multiply(a,multiply(sF1,multiply(greatest_lower_bound(a,b),inverse(a)))),
    inference(forward_demodulation,[],[f314745,f19408]) ).

fof(f19408,plain,
    ! [X0,X1] : multiply(greatest_lower_bound(b,X0),X1) = multiply(greatest_lower_bound(X0,b),X1),
    inference(forward_demodulation,[],[f19376,f160]) ).

fof(f19376,plain,
    ! [X0,X1] : multiply(greatest_lower_bound(b,X0),X1) = multiply(inverse(inverse(greatest_lower_bound(X0,b))),X1),
    inference(superposition,[],[f160,f18957]) ).

fof(f18957,plain,
    ! [X0] : inverse(greatest_lower_bound(b,X0)) = inverse(greatest_lower_bound(X0,b)),
    inference(forward_demodulation,[],[f18956,f191]) ).

fof(f18956,plain,
    ! [X0] : inverse(greatest_lower_bound(b,multiply(sF0,multiply(sF1,X0)))) = inverse(greatest_lower_bound(X0,b)),
    inference(forward_demodulation,[],[f18955,f14961]) ).

fof(f14961,plain,
    ! [X0] : multiply(sF0,greatest_lower_bound(sF2,X0)) = greatest_lower_bound(b,multiply(sF0,X0)),
    inference(forward_demodulation,[],[f14960,f164]) ).

fof(f14960,plain,
    ! [X0] : multiply(inverse(sF1),greatest_lower_bound(sF2,X0)) = greatest_lower_bound(b,multiply(sF0,X0)),
    inference(forward_demodulation,[],[f14844,f164]) ).

fof(f14844,plain,
    ! [X0] : multiply(inverse(sF1),greatest_lower_bound(sF2,X0)) = greatest_lower_bound(b,multiply(inverse(sF1),X0)),
    inference(superposition,[],[f13,f162]) ).

fof(f18955,plain,
    ! [X0] : inverse(multiply(sF0,greatest_lower_bound(sF2,multiply(sF1,X0)))) = inverse(greatest_lower_bound(X0,b)),
    inference(forward_demodulation,[],[f18939,f2244]) ).

fof(f18939,plain,
    ! [X0] : multiply(inverse(greatest_lower_bound(sF2,multiply(sF1,X0))),sF1) = inverse(greatest_lower_bound(X0,b)),
    inference(superposition,[],[f663,f15006]) ).

fof(f15006,plain,
    ! [X0] : multiply(sF1,greatest_lower_bound(X0,b)) = greatest_lower_bound(sF2,multiply(sF1,X0)),
    inference(forward_demodulation,[],[f14920,f4]) ).

fof(f14920,plain,
    ! [X0] : multiply(sF1,greatest_lower_bound(X0,b)) = greatest_lower_bound(multiply(sF1,X0),sF2),
    inference(superposition,[],[f13,f19]) ).

fof(f314745,plain,
    identity = multiply(a,multiply(sF1,multiply(greatest_lower_bound(b,a),inverse(a)))),
    inference(forward_demodulation,[],[f314744,f18447]) ).

fof(f18447,plain,
    ! [X0,X1] : multiply(sF1,multiply(greatest_lower_bound(b,X0),X1)) = multiply(greatest_lower_bound(sF2,multiply(sF1,X0)),X1),
    inference(superposition,[],[f3,f14868]) ).

fof(f14868,plain,
    ! [X0] : multiply(sF1,greatest_lower_bound(b,X0)) = greatest_lower_bound(sF2,multiply(sF1,X0)),
    inference(superposition,[],[f13,f19]) ).

fof(f314744,plain,
    identity = multiply(a,multiply(greatest_lower_bound(sF2,multiply(sF1,a)),inverse(a))),
    inference(forward_demodulation,[],[f314743,f18326]) ).

fof(f18326,plain,
    ! [X0,X1] : multiply(a,multiply(greatest_lower_bound(sF2,X0),X1)) = multiply(greatest_lower_bound(sF3,multiply(a,X0)),X1),
    inference(superposition,[],[f3,f14850]) ).

fof(f14850,plain,
    ! [X0] : multiply(a,greatest_lower_bound(sF2,X0)) = greatest_lower_bound(sF3,multiply(a,X0)),
    inference(superposition,[],[f13,f20]) ).

fof(f314743,plain,
    identity = multiply(greatest_lower_bound(sF3,multiply(a,multiply(sF1,a))),inverse(a)),
    inference(forward_demodulation,[],[f309647,f295054]) ).

fof(f295054,plain,
    ! [X2,X0,X1] : multiply(greatest_lower_bound(X0,X2),X1) = multiply(greatest_lower_bound(X2,X0),X1),
    inference(forward_demodulation,[],[f295053,f6128]) ).

fof(f6128,plain,
    ! [X0,X1] : greatest_lower_bound(X1,X0) = least_upper_bound(greatest_lower_bound(X1,X0),greatest_lower_bound(X0,X1)),
    inference(superposition,[],[f25,f5737]) ).

fof(f5737,plain,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X1,X0)),
    inference(forward_demodulation,[],[f5736,f762]) ).

fof(f762,plain,
    ! [X2,X0,X1] : greatest_lower_bound(X1,greatest_lower_bound(X0,X2)) = greatest_lower_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X0,X2))),
    inference(forward_demodulation,[],[f734,f6]) ).

fof(f734,plain,
    ! [X2,X0,X1] : greatest_lower_bound(greatest_lower_bound(X1,X0),X2) = greatest_lower_bound(X0,greatest_lower_bound(greatest_lower_bound(X1,X0),X2)),
    inference(superposition,[],[f6,f67]) ).

fof(f67,plain,
    ! [X0,X1] : greatest_lower_bound(X1,X0) = greatest_lower_bound(X0,greatest_lower_bound(X1,X0)),
    inference(forward_demodulation,[],[f59,f4]) ).

fof(f59,plain,
    ! [X0,X1] : greatest_lower_bound(X1,X0) = greatest_lower_bound(greatest_lower_bound(X1,X0),X0),
    inference(superposition,[],[f30,f25]) ).

fof(f5736,plain,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,greatest_lower_bound(X0,greatest_lower_bound(X1,X0))),
    inference(forward_demodulation,[],[f5438,f6]) ).

fof(f5438,plain,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,greatest_lower_bound(greatest_lower_bound(X0,X1),X0)),
    inference(superposition,[],[f744,f9]) ).

fof(f9,axiom,
    ! [X0] : greatest_lower_bound(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f25,plain,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
    inference(superposition,[],[f10,f4]) ).

fof(f295053,plain,
    ! [X2,X0,X1] : multiply(greatest_lower_bound(X2,X0),X1) = multiply(least_upper_bound(greatest_lower_bound(X0,X2),greatest_lower_bound(X2,X0)),X1),
    inference(forward_demodulation,[],[f295052,f14]) ).

fof(f295052,plain,
    ! [X2,X0,X1] : multiply(greatest_lower_bound(X2,X0),X1) = least_upper_bound(multiply(greatest_lower_bound(X0,X2),X1),multiply(greatest_lower_bound(X2,X0),X1)),
    inference(forward_demodulation,[],[f295051,f15]) ).

fof(f295051,plain,
    ! [X2,X0,X1] : greatest_lower_bound(multiply(X2,X1),multiply(X0,X1)) = least_upper_bound(multiply(greatest_lower_bound(X0,X2),X1),greatest_lower_bound(multiply(X2,X1),multiply(X0,X1))),
    inference(forward_demodulation,[],[f293676,f5]) ).

fof(f293676,plain,
    ! [X2,X0,X1] : greatest_lower_bound(multiply(X2,X1),multiply(X0,X1)) = least_upper_bound(greatest_lower_bound(multiply(X2,X1),multiply(X0,X1)),multiply(greatest_lower_bound(X0,X2),X1)),
    inference(superposition,[],[f6128,f15]) ).

fof(f309647,plain,
    identity = multiply(greatest_lower_bound(multiply(a,multiply(sF1,a)),sF3),inverse(a)),
    inference(superposition,[],[f296783,f18976]) ).

fof(f18976,plain,
    a = greatest_lower_bound(sF3,multiply(a,multiply(sF1,a))),
    inference(forward_demodulation,[],[f18958,f231]) ).

fof(f18958,plain,
    multiply(a,identity) = greatest_lower_bound(sF3,multiply(a,multiply(sF1,a))),
    inference(superposition,[],[f14850,f18941]) ).

fof(f18941,plain,
    identity = greatest_lower_bound(sF2,multiply(sF1,a)),
    inference(forward_demodulation,[],[f18922,f23]) ).

fof(f18922,plain,
    multiply(sF1,sF0) = greatest_lower_bound(sF2,multiply(sF1,a)),
    inference(superposition,[],[f15006,f17]) ).

fof(f296783,plain,
    ! [X0,X1] : identity = multiply(greatest_lower_bound(X0,X1),inverse(greatest_lower_bound(X1,X0))),
    inference(superposition,[],[f232,f296661]) ).

fof(f296661,plain,
    ! [X0,X1] : inverse(greatest_lower_bound(X0,X1)) = inverse(greatest_lower_bound(X1,X0)),
    inference(forward_demodulation,[],[f294205,f6128]) ).

fof(f294205,plain,
    ! [X0,X1] : inverse(greatest_lower_bound(X0,X1)) = inverse(least_upper_bound(greatest_lower_bound(X1,X0),greatest_lower_bound(X0,X1))),
    inference(superposition,[],[f195294,f6128]) ).

fof(f195294,plain,
    ! [X0,X1] : inverse(least_upper_bound(X0,X1)) = inverse(least_upper_bound(X1,X0)),
    inference(forward_demodulation,[],[f195293,f231]) ).

fof(f195293,plain,
    ! [X0,X1] : inverse(least_upper_bound(X1,X0)) = inverse(least_upper_bound(multiply(X0,identity),X1)),
    inference(forward_demodulation,[],[f195292,f10408]) ).

fof(f10408,plain,
    ! [X2,X0,X1] : multiply(X0,least_upper_bound(X2,multiply(inverse(X0),X1))) = least_upper_bound(multiply(X0,X2),X1),
    inference(superposition,[],[f12,f233]) ).

fof(f195292,plain,
    ! [X0,X1] : inverse(least_upper_bound(X1,X0)) = inverse(multiply(X0,least_upper_bound(identity,multiply(inverse(X0),X1)))),
    inference(forward_demodulation,[],[f193046,f648]) ).

fof(f648,plain,
    ! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
    inference(superposition,[],[f152,f571]) ).

fof(f193046,plain,
    ! [X0,X1] : inverse(least_upper_bound(X1,X0)) = multiply(inverse(least_upper_bound(identity,multiply(inverse(X0),X1))),inverse(X0)),
    inference(superposition,[],[f663,f10502]) ).

fof(f114037,plain,
    ! [X0] : greatest_lower_bound(X0,multiply(inverse(sF4),multiply(sF3,X0))) = X0,
    inference(forward_demodulation,[],[f114036,f1]) ).

fof(f114036,plain,
    ! [X0] : multiply(identity,X0) = greatest_lower_bound(X0,multiply(inverse(sF4),multiply(sF3,X0))),
    inference(forward_demodulation,[],[f114005,f3]) ).

fof(f114005,plain,
    ! [X0] : multiply(identity,X0) = greatest_lower_bound(X0,multiply(multiply(inverse(sF4),sF3),X0)),
    inference(superposition,[],[f21879,f113854]) ).

fof(f113854,plain,
    identity = greatest_lower_bound(identity,multiply(inverse(sF4),sF3)),
    inference(forward_demodulation,[],[f113719,f2]) ).

fof(f113719,plain,
    multiply(inverse(sF3),sF3) = greatest_lower_bound(identity,multiply(inverse(sF4),sF3)),
    inference(superposition,[],[f21881,f106602]) ).

fof(f106602,plain,
    inverse(sF3) = greatest_lower_bound(inverse(sF3),inverse(sF4)),
    inference(superposition,[],[f11,f106388]) ).

fof(f106388,plain,
    inverse(sF4) = least_upper_bound(inverse(sF3),inverse(sF4)),
    inference(forward_demodulation,[],[f106387,f5]) ).

fof(f106387,plain,
    inverse(sF4) = least_upper_bound(inverse(sF4),inverse(sF3)),
    inference(forward_demodulation,[],[f106124,f231]) ).

fof(f106124,plain,
    inverse(sF4) = least_upper_bound(inverse(sF4),multiply(inverse(sF3),identity)),
    inference(superposition,[],[f62409,f232]) ).

fof(f62409,plain,
    ! [X0] : least_upper_bound(X0,multiply(inverse(sF3),multiply(sF4,X0))) = X0,
    inference(forward_demodulation,[],[f62408,f1]) ).

fof(f62408,plain,
    ! [X0] : multiply(identity,X0) = least_upper_bound(X0,multiply(inverse(sF3),multiply(sF4,X0))),
    inference(forward_demodulation,[],[f62384,f3]) ).

fof(f62384,plain,
    ! [X0] : multiply(identity,X0) = least_upper_bound(X0,multiply(multiply(inverse(sF3),sF4),X0)),
    inference(superposition,[],[f18516,f62245]) ).

fof(f62245,plain,
    identity = least_upper_bound(identity,multiply(inverse(sF3),sF4)),
    inference(forward_demodulation,[],[f62244,f10362]) ).

fof(f62244,plain,
    identity = multiply(inverse(sF3),least_upper_bound(sF3,sF4)),
    inference(forward_demodulation,[],[f62160,f48947]) ).

fof(f48947,plain,
    ! [X0,X1] : multiply(inverse(X1),least_upper_bound(X0,sF4)) = multiply(inverse(X1),least_upper_bound(sF4,X0)),
    inference(forward_demodulation,[],[f48911,f2214]) ).

fof(f48911,plain,
    ! [X0,X1] : multiply(inverse(X1),least_upper_bound(X0,sF4)) = inverse(multiply(inverse(least_upper_bound(sF4,X0)),X1)),
    inference(superposition,[],[f2214,f48800]) ).

fof(f48800,plain,
    ! [X0] : inverse(least_upper_bound(X0,sF4)) = inverse(least_upper_bound(sF4,X0)),
    inference(forward_demodulation,[],[f48695,f231]) ).

fof(f48695,plain,
    ! [X0] : inverse(least_upper_bound(sF4,X0)) = multiply(inverse(least_upper_bound(X0,sF4)),identity),
    inference(superposition,[],[f152,f47373]) ).

fof(f47373,plain,
    ! [X0] : identity = multiply(least_upper_bound(X0,sF4),inverse(least_upper_bound(sF4,X0))),
    inference(forward_demodulation,[],[f47372,f21]) ).

fof(f47372,plain,
    ! [X0] : identity = multiply(least_upper_bound(X0,least_upper_bound(a,b)),inverse(least_upper_bound(sF4,X0))),
    inference(forward_demodulation,[],[f47371,f3674]) ).

fof(f3674,plain,
    ! [X2,X0,X1] : least_upper_bound(X1,least_upper_bound(X0,X2)) = least_upper_bound(X1,least_upper_bound(X2,X0)),
    inference(forward_demodulation,[],[f3673,f70]) ).

fof(f70,plain,
    ! [X0,X1] : least_upper_bound(X1,X0) = least_upper_bound(X0,least_upper_bound(X1,X0)),
    inference(forward_demodulation,[],[f64,f5]) ).

fof(f64,plain,
    ! [X0,X1] : least_upper_bound(X1,X0) = least_upper_bound(least_upper_bound(X1,X0),X0),
    inference(superposition,[],[f25,f30]) ).

fof(f3673,plain,
    ! [X2,X0,X1] : least_upper_bound(X1,least_upper_bound(X0,X2)) = least_upper_bound(X1,least_upper_bound(X0,least_upper_bound(X2,X0))),
    inference(forward_demodulation,[],[f3672,f7]) ).

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

fof(f3672,plain,
    ! [X2,X0,X1] : least_upper_bound(X1,least_upper_bound(X0,X2)) = least_upper_bound(X1,least_upper_bound(least_upper_bound(X0,X2),X0)),
    inference(forward_demodulation,[],[f3645,f7]) ).

fof(f3645,plain,
    ! [X2,X0,X1] : least_upper_bound(X1,least_upper_bound(X0,X2)) = least_upper_bound(least_upper_bound(X1,least_upper_bound(X0,X2)),X0),
    inference(superposition,[],[f25,f3137]) ).

fof(f3137,plain,
    ! [X2,X0,X1] : greatest_lower_bound(X1,least_upper_bound(X2,least_upper_bound(X1,X0))) = X1,
    inference(superposition,[],[f2961,f5]) ).

fof(f2961,plain,
    ! [X2,X0,X1] : greatest_lower_bound(X2,least_upper_bound(X0,least_upper_bound(X1,X2))) = X2,
    inference(superposition,[],[f30,f7]) ).

fof(f47371,plain,
    ! [X0] : identity = multiply(least_upper_bound(X0,least_upper_bound(b,a)),inverse(least_upper_bound(sF4,X0))),
    inference(forward_demodulation,[],[f47306,f7]) ).

fof(f47306,plain,
    ! [X0] : identity = multiply(least_upper_bound(least_upper_bound(X0,b),a),inverse(least_upper_bound(sF4,X0))),
    inference(superposition,[],[f38336,f3004]) ).

fof(f3004,plain,
    ! [X0] : least_upper_bound(sF4,X0) = least_upper_bound(a,least_upper_bound(X0,b)),
    inference(superposition,[],[f2915,f5]) ).

fof(f2915,plain,
    ! [X0] : least_upper_bound(sF4,X0) = least_upper_bound(a,least_upper_bound(b,X0)),
    inference(superposition,[],[f7,f21]) ).

fof(f62160,plain,
    identity = multiply(inverse(sF3),least_upper_bound(sF4,sF3)),
    inference(superposition,[],[f48919,f27222]) ).

fof(f27222,plain,
    sF3 = least_upper_bound(sF3,sF4),
    inference(superposition,[],[f27204,f12234]) ).

fof(f12234,plain,
    least_upper_bound(sF3,sF4) = least_upper_bound(sF3,b),
    inference(superposition,[],[f10836,f21]) ).

fof(f10836,plain,
    ! [X0] : least_upper_bound(sF3,X0) = least_upper_bound(sF3,least_upper_bound(a,X0)),
    inference(superposition,[],[f7,f10823]) ).

fof(f10823,plain,
    sF3 = least_upper_bound(sF3,a),
    inference(forward_demodulation,[],[f10809,f231]) ).

fof(f10809,plain,
    sF3 = least_upper_bound(sF3,multiply(a,identity)),
    inference(superposition,[],[f10570,f10792]) ).

fof(f10792,plain,
    identity = greatest_lower_bound(identity,sF2),
    inference(superposition,[],[f11,f10779]) ).

fof(f10779,plain,
    sF2 = least_upper_bound(identity,sF2),
    inference(forward_demodulation,[],[f10778,f5]) ).

fof(f10778,plain,
    sF2 = least_upper_bound(sF2,identity),
    inference(forward_demodulation,[],[f10760,f23]) ).

fof(f10760,plain,
    sF2 = least_upper_bound(sF2,multiply(sF1,sF0)),
    inference(superposition,[],[f10685,f17]) ).

fof(f10685,plain,
    ! [X0] : sF2 = least_upper_bound(sF2,multiply(sF1,greatest_lower_bound(X0,b))),
    inference(forward_demodulation,[],[f10660,f19]) ).

fof(f10660,plain,
    ! [X0] : multiply(sF1,b) = least_upper_bound(sF2,multiply(sF1,greatest_lower_bound(X0,b))),
    inference(superposition,[],[f10397,f25]) ).

fof(f10397,plain,
    ! [X0] : multiply(sF1,least_upper_bound(b,X0)) = least_upper_bound(sF2,multiply(sF1,X0)),
    inference(superposition,[],[f12,f19]) ).

fof(f10570,plain,
    ! [X0] : sF3 = least_upper_bound(sF3,multiply(a,greatest_lower_bound(X0,sF2))),
    inference(forward_demodulation,[],[f10550,f20]) ).

fof(f10550,plain,
    ! [X0] : multiply(a,sF2) = least_upper_bound(sF3,multiply(a,greatest_lower_bound(X0,sF2))),
    inference(superposition,[],[f10381,f25]) ).

fof(f10381,plain,
    ! [X0] : multiply(a,least_upper_bound(sF2,X0)) = least_upper_bound(sF3,multiply(a,X0)),
    inference(superposition,[],[f12,f20]) ).

fof(f27204,plain,
    sF3 = least_upper_bound(sF3,b),
    inference(forward_demodulation,[],[f27173,f9]) ).

fof(f27173,plain,
    sF3 = least_upper_bound(sF3,greatest_lower_bound(b,b)),
    inference(superposition,[],[f26951,f162]) ).

fof(f26951,plain,
    ! [X0] : sF3 = least_upper_bound(sF3,greatest_lower_bound(b,multiply(X0,sF2))),
    inference(forward_demodulation,[],[f26950,f20]) ).

fof(f26950,plain,
    ! [X0] : multiply(a,sF2) = least_upper_bound(sF3,greatest_lower_bound(b,multiply(X0,sF2))),
    inference(forward_demodulation,[],[f26901,f22036]) ).

fof(f22036,plain,
    ! [X0] : greatest_lower_bound(b,multiply(X0,sF2)) = multiply(greatest_lower_bound(sF0,X0),sF2),
    inference(forward_demodulation,[],[f21898,f246]) ).

fof(f246,plain,
    sF0 = inverse(sF1),
    inference(superposition,[],[f231,f163]) ).

fof(f163,plain,
    sF0 = multiply(inverse(sF1),identity),
    inference(superposition,[],[f152,f23]) ).

fof(f21898,plain,
    ! [X0] : multiply(greatest_lower_bound(inverse(sF1),X0),sF2) = greatest_lower_bound(b,multiply(X0,sF2)),
    inference(superposition,[],[f15,f162]) ).

fof(f26901,plain,
    ! [X0] : multiply(a,sF2) = least_upper_bound(sF3,multiply(greatest_lower_bound(sF0,X0),sF2)),
    inference(superposition,[],[f18546,f786]) ).

fof(f786,plain,
    ! [X0] : a = least_upper_bound(a,greatest_lower_bound(sF0,X0)),
    inference(superposition,[],[f10,f738]) ).

fof(f738,plain,
    ! [X0] : greatest_lower_bound(a,greatest_lower_bound(b,X0)) = greatest_lower_bound(sF0,X0),
    inference(superposition,[],[f6,f17]) ).

fof(f48919,plain,
    ! [X0] : identity = multiply(inverse(least_upper_bound(X0,sF4)),least_upper_bound(sF4,X0)),
    inference(superposition,[],[f2,f48800]) ).

fof(f21881,plain,
    ! [X0,X1] : multiply(greatest_lower_bound(inverse(X0),X1),X0) = greatest_lower_bound(identity,multiply(X1,X0)),
    inference(superposition,[],[f15,f2]) ).

fof(f21879,plain,
    ! [X0,X1] : multiply(greatest_lower_bound(identity,X1),X0) = greatest_lower_bound(X0,multiply(X1,X0)),
    inference(superposition,[],[f15,f1]) ).

fof(f314977,plain,
    multiply(inverse(identity),sF3) = inverse(greatest_lower_bound(inverse(a),inverse(b))),
    inference(superposition,[],[f663,f314752]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP180-1 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Jun 20 13:33:09 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.46  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46  % (3365)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=126:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (3000ds/126Mi)
% 0.22/0.46  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46  % (3363)dis+10_5:2_drc=encompass:sil=256000:tgt=ground:sp=reverse_frequency:sos=all:i=207332:bd=off:fsr=off:dpc=on_0 on theBenchmark for (3000ds/207332Mi)
% 0.22/0.46  % (3363)Refutation not found, incomplete strategy% (3363)------------------------------
% 0.22/0.46  % (3363)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.46  % (3363)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.46  % (3363)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46  
% 0.22/0.46  % (3363)Memory used [KB]: 833
% 0.22/0.46  % (3363)Time elapsed: 0.004 s
% 0.22/0.46  % (3363)Instructions burned: 3 (million)
% 0.22/0.46  % (3363)------------------------------
% 0.22/0.46  % (3363)------------------------------
% 0.22/0.46  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46  % (3364)lrs+10_1:64_drc=encompass:sil=2000:i=105:plsq=on:ss=axioms_0 on theBenchmark for (3000ds/105Mi)
% 0.22/0.47  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47  % (3362)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=116130:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (3000ds/116130Mi)
% 0.22/0.47  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47  % (3367)lrs+10_1:8_drc=encompass:sil=16000:tgt=ground:i=123:bd=preordered:ss=axioms_0 on theBenchmark for (3000ds/123Mi)
% 0.22/0.47  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47  % (3366)ott+10_2:5_bsr=unit_only:to=lpo:drc=encompass:sil=256000:sp=reverse_frequency:i=150:ins=1:dpc=on:rawr=on_0 on theBenchmark for (3000ds/150Mi)
% 0.22/0.47  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47  % (3369)lrs+10_1:1_drc=encompass:sil=4000:i=209:ss=axioms:sgt=8:sp=occurrence_0 on theBenchmark for (3000ds/209Mi)
% 0.22/0.53  % (3364)Instruction limit reached!
% 0.22/0.53  % (3364)------------------------------
% 0.22/0.53  % (3364)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.53  % (3364)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.53  % (3364)Termination reason: Time limit
% 0.22/0.53  % (3364)Termination phase: Saturation
% 0.22/0.53  
% 0.22/0.53  % (3364)Memory used [KB]: 1495
% 0.22/0.53  % (3364)Time elapsed: 0.063 s
% 0.22/0.53  % (3364)Instructions burned: 106 (million)
% 0.22/0.53  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.53  % (3381)lrs+10_1:4_drc=encompass:sil=16000:tgt=ground:lwlo=on:s2a=on:i=192:s2at=2.0_0 on theBenchmark for (2998ds/192Mi)
% 0.22/0.53  % (3365)Instruction limit reached!
% 0.22/0.53  % (3365)------------------------------
% 0.22/0.53  % (3365)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.53  % (3365)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.53  % (3365)Termination reason: Time limit
% 0.22/0.53  % (3365)Termination phase: Saturation
% 0.22/0.53  
% 0.22/0.53  % (3365)Memory used [KB]: 1958
% 0.22/0.53  % (3365)Time elapsed: 0.071 s
% 0.22/0.53  % (3365)Instructions burned: 127 (million)
% 0.22/0.54  % (3367)Instruction limit reached!
% 0.22/0.54  % (3367)------------------------------
% 0.22/0.54  % (3367)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.54  % (3367)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.54  % (3367)Termination reason: Time limit
% 0.22/0.54  % (3367)Termination phase: Saturation
% 0.22/0.54  
% 0.22/0.54  % (3367)Memory used [KB]: 2172
% 0.22/0.54  % (3367)Time elapsed: 0.079 s
% 0.22/0.54  % (3367)Instructions burned: 124 (million)
% 0.22/0.56  % (3366)Instruction limit reached!
% 0.22/0.56  % (3366)------------------------------
% 0.22/0.56  % (3366)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.56  % (3366)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.56  % (3366)Termination reason: Time limit
% 0.22/0.56  % (3366)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (3366)Memory used [KB]: 2163
% 0.22/0.56  % (3366)Time elapsed: 0.089 s
% 0.22/0.56  % (3366)Instructions burned: 151 (million)
% 0.22/0.59  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.59  % (3382)lrs+10_1:7_drc=encompass:sil=64000:tgt=full:spb=non_intro:i=454:awrs=converge:awrsf=67:sp=reverse_frequency:nwc=1.5_0 on theBenchmark for (2998ds/454Mi)
% 0.22/0.59  % (3359)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.59  % (3383)lrs+10_1:2_sil=2000:tgt=ground:spb=goal:i=359:kws=precedence:irc=eager_0 on theBenchmark for (2998ds/359Mi)
% 1.66/0.60  % (3369)Instruction limit reached!
% 1.66/0.60  % (3369)------------------------------
% 1.66/0.60  % (3369)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.66/0.60  % (3369)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.66/0.60  % (3369)Termination reason: Time limit
% 1.66/0.60  % (3369)Termination phase: Saturation
% 1.66/0.60  
% 1.66/0.60  % (3369)Memory used [KB]: 2640
% 1.66/0.60  % (3369)Time elapsed: 0.157 s
% 1.66/0.60  % (3369)Instructions burned: 209 (million)
% 1.66/0.61  % (3359)Running in auto input_syntax mode. Trying TPTP
% 1.66/0.61  % (3384)lrs+10_1:1_sil=4000:sp=occurrence:i=163:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2998ds/163Mi)
% 1.85/0.62  % (3359)Running in auto input_syntax mode. Trying TPTP
% 1.85/0.62  % (3385)lrs+10_1:1024_drc=encompass:sil=4000:tgt=full:i=1030:kws=inv_frequency:awrs=converge_0 on theBenchmark for (2998ds/1030Mi)
% 1.98/0.64  % (3381)Instruction limit reached!
% 1.98/0.64  % (3381)------------------------------
% 1.98/0.64  % (3381)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.98/0.64  % (3381)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.98/0.64  % (3381)Termination reason: Time limit
% 1.98/0.64  % (3381)Termination phase: Saturation
% 1.98/0.64  
% 1.98/0.64  % (3381)Memory used [KB]: 2643
% 1.98/0.64  % (3381)Time elapsed: 0.117 s
% 1.98/0.64  % (3381)Instructions burned: 193 (million)
% 1.98/0.67  % (3359)Running in auto input_syntax mode. Trying TPTP
% 1.98/0.67  % (3386)lrs+10_3:1_sil=4000:tgt=ground:i=631:kws=frequency:bd=off:drc=encompass:irc=lazy_0 on theBenchmark for (2997ds/631Mi)
% 1.98/0.70  % (3384)Instruction limit reached!
% 1.98/0.70  % (3384)------------------------------
% 1.98/0.70  % (3384)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.98/0.70  % (3384)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.98/0.70  % (3384)Termination reason: Time limit
% 1.98/0.70  % (3384)Termination phase: Saturation
% 1.98/0.70  
% 1.98/0.70  % (3384)Memory used [KB]: 2498
% 1.98/0.70  % (3384)Time elapsed: 0.100 s
% 1.98/0.70  % (3384)Instructions burned: 163 (million)
% 1.98/0.71  % (3359)Running in auto input_syntax mode. Trying TPTP
% 1.98/0.71  % (3387)lrs+10_1:3_to=lpo:drc=encompass:sil=4000:tgt=full:i=901:rawr=on:ins=4:bd=off:fd=preordered_0 on theBenchmark for (2997ds/901Mi)
% 2.43/0.77  % (3359)Running in auto input_syntax mode. Trying TPTP
% 2.43/0.77  % (3388)lrs+10_1:24_drc=encompass:sil=256000:tgt=full:sp=unary_frequency:spb=non_intro:i=312:ins=2:fsr=off:kws=precedence:irc=eager:bsr=unit_only:br=off:ss=included:sgt=16:bd=preordered_0 on theBenchmark for (2996ds/312Mi)
% 2.68/0.81  % (3383)Instruction limit reached!
% 2.68/0.81  % (3383)------------------------------
% 2.68/0.81  % (3383)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.68/0.81  % (3383)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.68/0.81  % (3383)Termination reason: Time limit
% 2.68/0.81  % (3383)Termination phase: Saturation
% 2.68/0.81  
% 2.68/0.81  % (3383)Memory used [KB]: 4972
% 2.68/0.81  % (3383)Time elapsed: 0.226 s
% 2.68/0.81  % (3383)Instructions burned: 359 (million)
% 2.68/0.86  % (3382)Instruction limit reached!
% 2.68/0.86  % (3382)------------------------------
% 2.68/0.86  % (3382)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.68/0.86  % (3382)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.68/0.86  % (3382)Termination reason: Time limit
% 2.68/0.86  % (3382)Termination phase: Saturation
% 2.68/0.86  
% 2.68/0.86  % (3382)Memory used [KB]: 5131
% 2.68/0.86  % (3382)Time elapsed: 0.272 s
% 2.68/0.86  % (3382)Instructions burned: 455 (million)
% 2.99/0.87  % (3359)Running in auto input_syntax mode. Trying TPTP
% 2.99/0.87  % (3389)lrs+10_1:1_drc=encompass:sil=2000:slsq=on:s2a=on:i=1363:s2at=7.0_0 on theBenchmark for (2995ds/1363Mi)
% 3.07/0.92  % (3359)Running in auto input_syntax mode. Trying TPTP
% 3.07/0.92  % (3390)ott+10_8:1_drc=encompass:sil=256000:i=471:rawr=on:irc=lazy_0 on theBenchmark for (2995ds/471Mi)
% 3.11/0.94  % (3388)Instruction limit reached!
% 3.11/0.94  % (3388)------------------------------
% 3.11/0.94  % (3388)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.11/0.94  % (3388)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.11/0.94  % (3388)Termination reason: Time limit
% 3.11/0.94  % (3388)Termination phase: Saturation
% 3.11/0.94  
% 3.11/0.94  % (3388)Memory used [KB]: 4461
% 3.11/0.94  % (3388)Time elapsed: 0.177 s
% 3.11/0.94  % (3388)Instructions burned: 313 (million)
% 3.11/1.00  % (3359)Running in auto input_syntax mode. Trying TPTP
% 3.11/1.00  % (3391)lrs+10_1:4_drc=encompass:sil=4000:tgt=full:sp=reverse_arity:st=-1.0:i=2897:kws=precedence:ss=included:lwlo=on:rawr=on:bd=off:urr=on:bsd=on_0 on theBenchmark for (2994ds/2897Mi)
% 3.11/1.02  % (3386)Instruction limit reached!
% 3.11/1.02  % (3386)------------------------------
% 3.11/1.02  % (3386)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.11/1.02  % (3386)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.11/1.02  % (3386)Termination reason: Time limit
% 3.11/1.02  % (3386)Termination phase: Saturation
% 3.11/1.02  
% 3.11/1.02  % (3386)Memory used [KB]: 6460
% 3.11/1.02  % (3386)Time elapsed: 0.353 s
% 3.11/1.02  % (3386)Instructions burned: 632 (million)
% 3.94/1.08  % (3359)Running in auto input_syntax mode. Trying TPTP
% 3.94/1.08  % (3392)lrs+10_1:12_sil=2000:tgt=full:sp=reverse_frequency:i=569:kws=inv_frequency:bd=off:fsr=off:rawr=on:awrs=converge_0 on theBenchmark for (2993ds/569Mi)
% 4.07/1.17  % (3390)Instruction limit reached!
% 4.07/1.17  % (3390)------------------------------
% 4.07/1.17  % (3390)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.07/1.17  % (3390)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.07/1.17  % (3390)Termination reason: Time limit
% 4.07/1.17  % (3390)Termination phase: Saturation
% 4.07/1.17  
% 4.07/1.17  % (3390)Memory used [KB]: 4836
% 4.07/1.17  % (3390)Time elapsed: 0.259 s
% 4.07/1.17  % (3390)Instructions burned: 471 (million)
% 5.88/1.19  % (3387)Instruction limit reached!
% 5.88/1.19  % (3387)------------------------------
% 5.88/1.19  % (3387)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.88/1.19  % (3387)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.88/1.19  % (3387)Termination reason: Time limit
% 5.88/1.19  % (3387)Termination phase: Saturation
% 5.88/1.19  
% 5.88/1.19  % (3387)Memory used [KB]: 9358
% 5.88/1.19  % (3387)Time elapsed: 0.482 s
% 5.88/1.19  % (3387)Instructions burned: 901 (million)
% 5.88/1.20  % (3385)Instruction limit reached!
% 5.88/1.20  % (3385)------------------------------
% 5.88/1.20  % (3385)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.88/1.20  % (3385)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.88/1.20  % (3385)Termination reason: Time limit
% 5.88/1.20  % (3385)Termination phase: Saturation
% 5.88/1.20  
% 5.88/1.20  % (3385)Memory used [KB]: 8699
% 5.88/1.20  % (3385)Time elapsed: 0.581 s
% 5.88/1.20  % (3385)Instructions burned: 1030 (million)
% 6.05/1.23  % (3359)Running in auto input_syntax mode. Trying TPTP
% 6.05/1.23  % (3393)lrs+10_1:1_drc=encompass:sil=2000:st=5.0:s2a=on:i=577:s2at=5.0:sd=1:bd=preordered:irc=lazy:ss=axioms:sgt=10_0 on theBenchmark for (2991ds/577Mi)
% 6.09/1.25  % (3359)Running in auto input_syntax mode. Trying TPTP
% 6.09/1.25  % (3394)lrs+10_8:1_drc=encompass:sil=4000:tgt=ground:spb=non_intro:i=843:bd=off:irc=lazy_0 on theBenchmark for (2991ds/843Mi)
% 6.09/1.25  % (3359)Running in auto input_syntax mode. Trying TPTP
% 6.09/1.25  % (3396)lrs+10_1:1_drc=encompass:sil=2000:tgt=ground:st=5.0:i=1015:bd=off:ss=axioms_0 on theBenchmark for (2991ds/1015Mi)
% 6.63/1.37  % (3392)Instruction limit reached!
% 6.63/1.37  % (3392)------------------------------
% 6.63/1.37  % (3392)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.63/1.37  % (3392)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.63/1.37  % (3392)Termination reason: Time limit
% 6.63/1.37  % (3392)Termination phase: Saturation
% 6.63/1.37  
% 6.63/1.37  % (3392)Memory used [KB]: 6520
% 6.63/1.37  % (3392)Time elapsed: 0.298 s
% 6.63/1.37  % (3392)Instructions burned: 569 (million)
% 6.63/1.41  % (3359)Running in auto input_syntax mode. Trying TPTP
% 6.63/1.41  % (3397)lrs+10_15:26_drc=encompass:sil=16000:i=4402:ins=4:irc=lazy_0 on theBenchmark for (2990ds/4402Mi)
% 6.91/1.48  % (3393)Instruction limit reached!
% 6.91/1.48  % (3393)------------------------------
% 6.91/1.48  % (3393)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.91/1.48  % (3393)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.91/1.48  % (3393)Termination reason: Time limit
% 6.91/1.48  % (3393)Termination phase: Saturation
% 6.91/1.48  
% 6.91/1.48  % (3393)Memory used [KB]: 5378
% 6.91/1.48  % (3393)Time elapsed: 0.254 s
% 6.91/1.48  % (3393)Instructions burned: 578 (million)
% 6.91/1.48  % (3389)Instruction limit reached!
% 6.91/1.48  % (3389)------------------------------
% 6.91/1.48  % (3389)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.91/1.48  % (3389)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.91/1.48  % (3389)Termination reason: Time limit
% 6.91/1.48  % (3389)Termination phase: Saturation
% 6.91/1.48  
% 6.91/1.48  % (3389)Memory used [KB]: 7280
% 6.91/1.48  % (3389)Time elapsed: 0.615 s
% 6.91/1.48  % (3389)Instructions burned: 1365 (million)
% 7.32/1.52  % (3359)Running in auto input_syntax mode. Trying TPTP
% 7.32/1.52  % (3428)lrs+10_16:1_to=lpo:sil=32000:urr=ec_only:fd=preordered:nwc=10.0:i=1315:bd=off:irc=lazy:drc=encompass_0 on theBenchmark for (2988ds/1315Mi)
% 7.32/1.52  % (3359)Running in auto input_syntax mode. Trying TPTP
% 7.32/1.52  % (3430)lrs+10_8:1_drc=encompass:sil=256000:st=3.0:s2a=on:i=2957:s2at=1.2:ss=axioms:sd=15_0 on theBenchmark for (2988ds/2957Mi)
% 7.41/1.57  % (3394)Instruction limit reached!
% 7.41/1.57  % (3394)------------------------------
% 7.41/1.57  % (3394)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.41/1.57  % (3394)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.41/1.57  % (3394)Termination reason: Time limit
% 7.41/1.57  % (3394)Termination phase: Saturation
% 7.41/1.57  
% 7.41/1.57  % (3394)Memory used [KB]: 7601
% 7.41/1.57  % (3394)Time elapsed: 0.328 s
% 7.41/1.57  % (3394)Instructions burned: 843 (million)
% 7.41/1.60  % (3396)Instruction limit reached!
% 7.41/1.60  % (3396)------------------------------
% 7.41/1.60  % (3396)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.41/1.60  % (3396)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.41/1.60  % (3396)Termination reason: Time limit
% 7.41/1.60  % (3396)Termination phase: Saturation
% 7.41/1.60  
% 7.41/1.60  % (3396)Memory used [KB]: 6047
% 7.41/1.60  % (3396)Time elapsed: 0.350 s
% 7.41/1.60  % (3396)Instructions burned: 1015 (million)
% 8.35/1.60  % (3359)Running in auto input_syntax mode. Trying TPTP
% 8.35/1.60  % (3464)lrs+10_3:1_drc=encompass:sil=4000:tgt=full:sp=unary_first:sos=all:lwlo=on:i=3869:irc=lazy_0 on theBenchmark for (2988ds/3869Mi)
% 8.35/1.61  % (3464)Refutation not found, incomplete strategy% (3464)------------------------------
% 8.35/1.61  % (3464)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.35/1.61  % (3464)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.35/1.61  % (3464)Termination reason: Refutation not found, incomplete strategy
% 8.35/1.61  
% 8.35/1.61  % (3464)Memory used [KB]: 835
% 8.35/1.61  % (3464)Time elapsed: 0.003 s
% 8.35/1.61  % (3464)Instructions burned: 4 (million)
% 8.35/1.61  % (3464)------------------------------
% 8.35/1.61  % (3464)------------------------------
% 8.35/1.63  % (3359)Running in auto input_syntax mode. Trying TPTP
% 8.35/1.63  % (3483)lrs+10_1:1_drc=encompass:sil=256000:tgt=ground:s2agt=8:s2a=on:i=2041_0 on theBenchmark for (2987ds/2041Mi)
% 8.35/1.64  % (3359)Running in auto input_syntax mode. Trying TPTP
% 8.35/1.64  % (3487)ott+10_1:28_sil=256000:tgt=full:fd=preordered:i=6716:bd=off_0 on theBenchmark for (2987ds/6716Mi)
% 10.35/1.92  % (3428)Instruction limit reached!
% 10.35/1.92  % (3428)------------------------------
% 10.35/1.92  % (3428)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.35/1.92  % (3428)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.35/1.92  % (3428)Termination reason: Time limit
% 10.35/1.92  % (3428)Termination phase: Saturation
% 10.35/1.92  
% 10.35/1.92  % (3428)Memory used [KB]: 14384
% 10.35/1.92  % (3428)Time elapsed: 0.405 s
% 10.35/1.92  % (3428)Instructions burned: 1318 (million)
% 10.60/1.95  % (3359)Running in auto input_syntax mode. Trying TPTP
% 10.60/1.95  % (3599)ott+10_1:14_bsr=unit_only:sil=256000:i=2510:sp=weighted_frequency:irc=lazy_0 on theBenchmark for (2984ds/2510Mi)
% 11.46/2.03  % (3391)Instruction limit reached!
% 11.46/2.03  % (3391)------------------------------
% 11.46/2.03  % (3391)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.46/2.03  % (3391)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.46/2.03  % (3391)Termination reason: Time limit
% 11.46/2.03  % (3391)Termination phase: Saturation
% 11.46/2.03  
% 11.46/2.03  % (3391)Memory used [KB]: 17457
% 11.46/2.03  % (3391)Time elapsed: 1.031 s
% 11.46/2.03  % (3391)Instructions burned: 2898 (million)
% 11.46/2.06  % (3359)Running in auto input_syntax mode. Trying TPTP
% 11.46/2.06  % (3634)lrs+10_1:10_drc=encompass:sil=16000:tgt=ground:plsq=on:fd=preordered:i=3229:bd=preordered:ins=1:rawr=on:ss=axioms:sgt=16_0 on theBenchmark for (2983ds/3229Mi)
% 12.68/2.27  % (3483)Instruction limit reached!
% 12.68/2.27  % (3483)------------------------------
% 12.68/2.27  % (3483)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.68/2.27  % (3483)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.68/2.27  % (3483)Termination reason: Time limit
% 12.68/2.27  % (3483)Termination phase: Saturation
% 12.68/2.27  
% 12.68/2.27  % (3483)Memory used [KB]: 15035
% 12.68/2.27  % (3483)Time elapsed: 0.656 s
% 12.68/2.27  % (3483)Instructions burned: 2041 (million)
% 12.68/2.30  % (3359)Running in auto input_syntax mode. Trying TPTP
% 12.68/2.30  % (3635)lrs+10_1:16_drc=encompass:sil=16000:sp=unary_frequency:i=7440:kws=precedence_0 on theBenchmark for (2980ds/7440Mi)
% 13.73/2.34  % (3430)Instruction limit reached!
% 13.73/2.34  % (3430)------------------------------
% 13.73/2.34  % (3430)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.73/2.34  % (3430)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.73/2.34  % (3430)Termination reason: Time limit
% 13.73/2.34  % (3430)Termination phase: Saturation
% 13.73/2.34  
% 13.73/2.34  % (3430)Memory used [KB]: 13050
% 13.73/2.34  % (3430)Time elapsed: 0.825 s
% 13.73/2.34  % (3430)Instructions burned: 2961 (million)
% 13.73/2.38  % (3359)Running in auto input_syntax mode. Trying TPTP
% 13.73/2.38  % (3636)ott+10_1:64_sil=256000:tgt=full:i=10214:sp=reverse_frequency:bd=off:drc=encompass_0 on theBenchmark for (2980ds/10214Mi)
% 16.18/2.79  % (3599)Instruction limit reached!
% 16.18/2.79  % (3599)------------------------------
% 16.18/2.79  % (3599)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.18/2.79  % (3599)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.18/2.79  % (3599)Termination reason: Time limit
% 16.18/2.79  % (3599)Termination phase: Saturation
% 16.18/2.79  
% 16.18/2.79  % (3599)Memory used [KB]: 24233
% 16.18/2.79  % (3599)Time elapsed: 0.862 s
% 16.18/2.79  % (3599)Instructions burned: 2512 (million)
% 17.31/2.83  % (3359)Running in auto input_syntax mode. Trying TPTP
% 17.31/2.83  % (3637)lrs+10_3:14_drc=encompass:sil=128000:sp=const_frequency:spb=goal:lwlo=on:i=29852:kws=precedence:irc=lazy:ins=4_0 on theBenchmark for (2975ds/29852Mi)
% 17.31/2.84  % (3397)Instruction limit reached!
% 17.31/2.84  % (3397)------------------------------
% 17.31/2.84  % (3397)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.31/2.84  % (3397)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.31/2.84  % (3397)Termination reason: Time limit
% 17.31/2.84  % (3397)Termination phase: Saturation
% 17.31/2.84  
% 17.31/2.84  % (3397)Memory used [KB]: 26206
% 17.31/2.84  % (3397)Time elapsed: 1.434 s
% 17.31/2.84  % (3397)Instructions burned: 4403 (million)
% 17.31/2.87  % (3359)Running in auto input_syntax mode. Trying TPTP
% 17.31/2.87  % (3638)lrs+10_1:6_drc=encompass:sil=32000:tgt=ground:s2agt=8:s2a=on:i=24503_0 on theBenchmark for (2975ds/24503Mi)
% 18.98/3.12  % (3634)Instruction limit reached!
% 18.98/3.12  % (3634)------------------------------
% 18.98/3.12  % (3634)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.98/3.12  % (3634)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.98/3.12  % (3634)Termination reason: Time limit
% 18.98/3.12  % (3634)Termination phase: Saturation
% 18.98/3.12  
% 18.98/3.12  % (3634)Memory used [KB]: 24820
% 18.98/3.12  % (3634)Time elapsed: 1.053 s
% 18.98/3.12  % (3634)Instructions burned: 3230 (million)
% 18.98/3.15  % (3359)Running in auto input_syntax mode. Trying TPTP
% 18.98/3.15  % (3639)dis+10_1:4_to=lpo:sil=256000:tgt=full:sp=reverse_frequency:spb=goal:i=11902:awrs=converge:awrsf=500:fd=preordered:irc=lazy:bd=off_0 on theBenchmark for (2972ds/11902Mi)
% 23.31/3.69  % (3487)Instruction limit reached!
% 23.31/3.69  % (3487)------------------------------
% 23.31/3.69  % (3487)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.31/3.69  % (3487)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.31/3.69  % (3487)Termination reason: Time limit
% 23.31/3.69  % (3487)Termination phase: Saturation
% 23.31/3.69  
% 23.31/3.69  % (3487)Memory used [KB]: 52499
% 23.31/3.69  % (3487)Time elapsed: 2.071 s
% 23.31/3.69  % (3487)Instructions burned: 6718 (million)
% 23.31/3.73  % (3359)Running in auto input_syntax mode. Trying TPTP
% 23.31/3.73  % (3640)dis+10_1:4_drc=encompass:sil=256000:tgt=ground:sos=all:i=13038:kws=inv_arity_squared:fsr=off:dpc=on_0 on theBenchmark for (2966ds/13038Mi)
% 23.31/3.73  % (3640)Refutation not found, incomplete strategy% (3640)------------------------------
% 23.31/3.73  % (3640)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.31/3.73  % (3640)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.31/3.73  % (3640)Termination reason: Refutation not found, incomplete strategy
% 23.31/3.73  
% 23.31/3.73  % (3640)Memory used [KB]: 834
% 23.31/3.73  % (3640)Time elapsed: 0.003 s
% 23.31/3.73  % (3640)Instructions burned: 4 (million)
% 23.31/3.73  % (3640)------------------------------
% 23.31/3.73  % (3640)------------------------------
% 23.31/3.76  % (3359)Running in auto input_syntax mode. Trying TPTP
% 23.31/3.76  % (3641)lrs+10_1:16_drc=encompass:sil=32000:sp=reverse_frequency:spb=goal:i=28291:kws=inv_arity_squared_0 on theBenchmark for (2966ds/28291Mi)
% 29.31/4.56  % (3635)Instruction limit reached!
% 29.31/4.56  % (3635)------------------------------
% 29.31/4.56  % (3635)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.31/4.56  % (3635)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.31/4.56  % (3635)Termination reason: Time limit
% 29.31/4.56  % (3635)Termination phase: Saturation
% 29.31/4.56  
% 29.31/4.56  % (3635)Memory used [KB]: 38874
% 29.31/4.56  % (3635)Time elapsed: 2.254 s
% 29.31/4.56  % (3635)Instructions burned: 7440 (million)
% 29.71/4.59  % (3359)Running in auto input_syntax mode. Trying TPTP
% 29.71/4.59  % (3642)dis+10_1:166_drc=encompass:sil=256000:tgt=full:i=19584:fsr=off:spb=non_intro:kws=inv_frequency_0 on theBenchmark for (2958ds/19584Mi)
% 33.44/5.15  % (3636)First to succeed.
% 33.44/5.15  % (3636)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3359"
% 33.44/5.16  % (3359)Running in auto input_syntax mode. Trying TPTP
% 33.44/5.16  % (3636)Refutation found. Thanks to Tanya!
% 33.44/5.16  % SZS status Unsatisfiable for theBenchmark
% 33.44/5.16  % SZS output start Proof for theBenchmark
% See solution above
% 33.44/5.16  % (3636)------------------------------
% 33.44/5.16  % (3636)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.44/5.16  % (3636)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.44/5.16  % (3636)Termination reason: Refutation
% 33.44/5.16  
% 33.44/5.16  % (3636)Memory used [KB]: 68154
% 33.44/5.16  % (3636)Time elapsed: 2.775 s
% 33.44/5.16  % (3636)Instructions burned: 9138 (million)
% 33.44/5.16  % (3636)------------------------------
% 33.44/5.16  % (3636)------------------------------
% 33.44/5.16  % (3359)Success in time 4.783 s
%------------------------------------------------------------------------------