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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GRP102-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 10:16:39 AM UTC 2026

% Result   : Unsatisfiable 52.97s 7.94s
% Output   : Refutation 52.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   72
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  489 ( 482 unt;  17 def)
%            Number of atoms       :  507 ( 506 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  26   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   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    :   28 (  28 usr;  25 con; 0-2 aty)
%            Number of variables   :  386 ( 386   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f5,negated_conjecture,
    ( multiply(inverse(a1),a1) != identity
    | multiply(identity,a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).

fof(f6,plain,
    ( identity != multiply(inverse(a1),a1)
    | a2 != multiply(identity,a2)
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | multiply(a4,b4) != multiply(b4,a4) ),
    inference(reorient_equations,[],[f5]) ).

fof(f7,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f8,plain,
    ( identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity)
    | a2 != double_divide(double_divide(a2,identity),identity)
    | double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
    | double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) ),
    inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2,f2,f2]) ).

fof(f9,definition,
    sF0 = double_divide(a1,identity),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f10,plain,
    double_divide(a1,identity) = sF0,
    inference(reorient_equations,[],[f9]) ).

fof(f11,definition,
    sF1 = double_divide(a1,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f12,plain,
    double_divide(a1,sF0) = sF1,
    inference(reorient_equations,[],[f11]) ).

fof(f13,definition,
    sF2 = double_divide(sF1,identity),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f14,plain,
    double_divide(sF1,identity) = sF2,
    inference(reorient_equations,[],[f13]) ).

fof(f15,definition,
    sF3 = double_divide(a2,identity),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f16,plain,
    double_divide(a2,identity) = sF3,
    inference(reorient_equations,[],[f15]) ).

fof(f17,definition,
    sF4 = double_divide(sF3,identity),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f18,plain,
    double_divide(sF3,identity) = sF4,
    inference(reorient_equations,[],[f17]) ).

fof(f19,definition,
    sF5 = double_divide(b3,a3),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f20,plain,
    double_divide(b3,a3) = sF5,
    inference(reorient_equations,[],[f19]) ).

fof(f21,definition,
    sF6 = double_divide(sF5,identity),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f22,plain,
    double_divide(sF5,identity) = sF6,
    inference(reorient_equations,[],[f21]) ).

fof(f23,definition,
    sF7 = double_divide(c3,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f24,plain,
    double_divide(c3,sF6) = sF7,
    inference(reorient_equations,[],[f23]) ).

fof(f25,definition,
    sF8 = double_divide(sF7,identity),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f26,plain,
    double_divide(sF7,identity) = sF8,
    inference(reorient_equations,[],[f25]) ).

fof(f27,definition,
    sF9 = double_divide(c3,b3),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f28,plain,
    double_divide(c3,b3) = sF9,
    inference(reorient_equations,[],[f27]) ).

fof(f29,definition,
    sF10 = double_divide(sF9,identity),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f30,plain,
    double_divide(sF9,identity) = sF10,
    inference(reorient_equations,[],[f29]) ).

fof(f31,definition,
    sF11 = double_divide(sF10,a3),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f32,plain,
    double_divide(sF10,a3) = sF11,
    inference(reorient_equations,[],[f31]) ).

fof(f33,definition,
    sF12 = double_divide(sF11,identity),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f34,plain,
    double_divide(sF11,identity) = sF12,
    inference(reorient_equations,[],[f33]) ).

fof(f35,definition,
    sF13 = double_divide(b4,a4),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f36,plain,
    double_divide(b4,a4) = sF13,
    inference(reorient_equations,[],[f35]) ).

fof(f37,definition,
    sF14 = double_divide(sF13,identity),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f38,plain,
    double_divide(sF13,identity) = sF14,
    inference(reorient_equations,[],[f37]) ).

fof(f39,definition,
    sF15 = double_divide(a4,b4),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f40,plain,
    double_divide(a4,b4) = sF15,
    inference(reorient_equations,[],[f39]) ).

fof(f41,definition,
    sF16 = double_divide(sF15,identity),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f42,plain,
    double_divide(sF15,identity) = sF16,
    inference(reorient_equations,[],[f41]) ).

fof(f43,plain,
    ( sF14 != sF16
    | a2 != sF4
    | sF8 != sF12
    | identity != sF2 ),
    inference(definition_folding,[],[f8,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22,f20,f18,f16,f14,f12,f10]) ).

fof(f44,plain,
    identity = double_divide(a1,sF0),
    inference(superposition,[],[f7,f10]) ).

fof(f46,plain,
    identity = double_divide(sF1,sF2),
    inference(superposition,[],[f7,f14]) ).

fof(f47,plain,
    identity = double_divide(sF3,sF4),
    inference(superposition,[],[f7,f18]) ).

fof(f54,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f7]) ).

fof(f55,plain,
    ! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X0,X3),double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X1),X0),double_divide(X2,identity))),identity))),double_divide(identity,identity)) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f58,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF3,X0),sF3)),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f16]) ).

fof(f59,plain,
    ! [X0] : double_divide(double_divide(a3,double_divide(double_divide(sF5,X0),double_divide(b3,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f20]) ).

fof(f60,plain,
    ! [X0] : double_divide(double_divide(sF6,double_divide(double_divide(sF7,X0),double_divide(c3,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f24]) ).

fof(f64,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF2,X0),sF2)),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f14]) ).

fof(f65,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF4,X0),sF4)),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f18]) ).

fof(f66,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF6,X0),sF6)),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f22]) ).

fof(f68,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF10,X0),sF10)),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f30]) ).

fof(f70,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF12,X0),sF12)),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f34]) ).

fof(f71,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF14,X0),sF14)),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f38]) ).

fof(f72,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF16,X0),sF16)),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f42]) ).

fof(f74,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),double_divide(identity,identity)),
    inference(superposition,[],[f1,f7]) ).

fof(f76,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(a2,X0),X1),sF3)),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f16]) ).

fof(f77,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(sF1,X0),X1),sF2)),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f14]) ).

fof(f79,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(sF5,X0),X1),sF6)),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f22]) ).

fof(f81,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(sF9,X0),X1),sF10)),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f30]) ).

fof(f82,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(sF11,X0),X1),sF12)),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f34]) ).

fof(f83,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(sF13,X0),X1),sF14)),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f38]) ).

fof(f84,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(sF15,X0),X1),sF16)),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f42]) ).

fof(f85,plain,
    ! [X2,X0,X1] : double_divide(double_divide(double_divide(X2,double_divide(identity,X1)),X0),double_divide(X2,identity)) = double_divide(double_divide(X1,X0),double_divide(identity,identity)),
    inference(superposition,[],[f1,f1]) ).

fof(f88,plain,
    identity = sF1,
    inference(superposition,[],[f12,f44]) ).

fof(f93,plain,
    double_divide(identity,identity) = sF2,
    inference(superposition,[],[f14,f88]) ).

fof(f94,plain,
    identity = double_divide(identity,sF2),
    inference(superposition,[],[f46,f88]) ).

fof(f95,plain,
    ! [X0] : double_divide(double_divide(sF2,double_divide(double_divide(identity,X0),double_divide(sF1,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f46]) ).

fof(f96,plain,
    ! [X0] : double_divide(double_divide(sF2,double_divide(double_divide(identity,X0),double_divide(sF1,identity))),sF2) = X0,
    inference(forward_demodulation,[],[f95,f93]) ).

fof(f97,plain,
    ! [X0] : double_divide(double_divide(sF2,double_divide(double_divide(identity,X0),sF2)),sF2) = X0,
    inference(forward_demodulation,[],[f96,f14]) ).

fof(f130,plain,
    identity = double_divide(double_divide(identity,double_divide(sF4,sF3)),double_divide(identity,identity)),
    inference(superposition,[],[f58,f18]) ).

fof(f131,plain,
    sF4 = double_divide(double_divide(identity,double_divide(identity,sF3)),double_divide(identity,identity)),
    inference(superposition,[],[f58,f47]) ).

fof(f139,plain,
    sF4 = double_divide(double_divide(identity,double_divide(identity,sF3)),sF2),
    inference(forward_demodulation,[],[f131,f93]) ).

fof(f140,plain,
    identity = double_divide(double_divide(identity,double_divide(sF4,sF3)),sF2),
    inference(forward_demodulation,[],[f130,f93]) ).

fof(f144,plain,
    double_divide(sF2,identity) = double_divide(double_divide(identity,double_divide(identity,sF2)),double_divide(identity,identity)),
    inference(superposition,[],[f64,f7]) ).

fof(f150,plain,
    double_divide(sF2,identity) = double_divide(double_divide(identity,double_divide(identity,sF2)),sF2),
    inference(forward_demodulation,[],[f144,f93]) ).

fof(f151,plain,
    double_divide(sF2,identity) = double_divide(double_divide(identity,identity),sF2),
    inference(forward_demodulation,[],[f150,f94]) ).

fof(f152,plain,
    double_divide(sF2,identity) = double_divide(sF2,sF2),
    inference(forward_demodulation,[],[f151,f93]) ).

fof(f153,plain,
    sF2 = double_divide(double_divide(identity,double_divide(double_divide(sF2,identity),sF2)),double_divide(identity,identity)),
    inference(superposition,[],[f64,f152]) ).

fof(f156,plain,
    identity = sF2,
    inference(forward_demodulation,[],[f153,f64]) ).

fof(f158,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF4,X0),sF4)),sF2) = X0,
    inference(superposition,[],[f65,f93]) ).

fof(f160,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X0,X1),double_divide(double_divide(identity,double_divide(double_divide(sF4,X0),sF4)),identity))),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f65]) ).

fof(f161,plain,
    ! [X0,X1] : double_divide(double_divide(sF2,double_divide(double_divide(X0,X1),double_divide(double_divide(identity,double_divide(double_divide(sF4,X0),sF4)),identity))),sF2) = X1,
    inference(forward_demodulation,[],[f160,f93]) ).

fof(f163,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(sF4,X0),sF4)),identity) = X0,
    inference(forward_demodulation,[],[f158,f156]) ).

fof(f165,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(double_divide(identity,double_divide(double_divide(sF4,X0),sF4)),identity))),identity) = X1,
    inference(forward_demodulation,[],[f161,f156]) ).

fof(f168,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),X0)),identity) = X1,
    inference(forward_demodulation,[],[f165,f163]) ).

fof(f170,plain,
    identity = double_divide(identity,identity),
    inference(superposition,[],[f94,f156]) ).

fof(f175,plain,
    double_divide(sF6,identity) = double_divide(double_divide(identity,double_divide(identity,sF6)),double_divide(identity,identity)),
    inference(superposition,[],[f66,f7]) ).

fof(f182,plain,
    double_divide(sF6,identity) = double_divide(double_divide(identity,double_divide(identity,sF6)),sF2),
    inference(forward_demodulation,[],[f175,f93]) ).

fof(f185,plain,
    double_divide(sF6,identity) = double_divide(double_divide(identity,double_divide(identity,sF6)),identity),
    inference(forward_demodulation,[],[f182,f156]) ).

fof(f188,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),identity) = X2,
    inference(superposition,[],[f1,f170]) ).

fof(f211,plain,
    sF4 = double_divide(double_divide(identity,double_divide(identity,sF3)),identity),
    inference(superposition,[],[f139,f156]) ).

fof(f219,plain,
    a3 = double_divide(double_divide(identity,double_divide(sF11,sF10)),double_divide(identity,identity)),
    inference(superposition,[],[f68,f32]) ).

fof(f220,plain,
    double_divide(sF10,identity) = double_divide(double_divide(identity,double_divide(identity,sF10)),double_divide(identity,identity)),
    inference(superposition,[],[f68,f7]) ).

fof(f228,plain,
    double_divide(sF10,identity) = double_divide(double_divide(identity,double_divide(identity,sF10)),sF2),
    inference(forward_demodulation,[],[f220,f93]) ).

fof(f229,plain,
    a3 = double_divide(double_divide(identity,double_divide(sF11,sF10)),sF2),
    inference(forward_demodulation,[],[f219,f93]) ).

fof(f232,plain,
    double_divide(sF10,identity) = double_divide(double_divide(identity,double_divide(identity,sF10)),identity),
    inference(forward_demodulation,[],[f228,f156]) ).

fof(f233,plain,
    a3 = double_divide(double_divide(identity,double_divide(sF11,sF10)),identity),
    inference(forward_demodulation,[],[f229,f156]) ).

fof(f243,plain,
    double_divide(sF12,identity) = double_divide(double_divide(identity,double_divide(identity,sF12)),double_divide(identity,identity)),
    inference(superposition,[],[f70,f7]) ).

fof(f251,plain,
    double_divide(sF12,identity) = double_divide(double_divide(identity,double_divide(identity,sF12)),sF2),
    inference(forward_demodulation,[],[f243,f93]) ).

fof(f254,plain,
    double_divide(sF12,identity) = double_divide(double_divide(identity,double_divide(identity,sF12)),identity),
    inference(forward_demodulation,[],[f251,f156]) ).

fof(f266,plain,
    double_divide(sF14,identity) = double_divide(double_divide(identity,double_divide(identity,sF14)),double_divide(identity,identity)),
    inference(superposition,[],[f71,f7]) ).

fof(f274,plain,
    double_divide(sF14,identity) = double_divide(double_divide(identity,double_divide(identity,sF14)),sF2),
    inference(forward_demodulation,[],[f266,f93]) ).

fof(f277,plain,
    double_divide(sF14,identity) = double_divide(double_divide(identity,double_divide(identity,sF14)),identity),
    inference(forward_demodulation,[],[f274,f156]) ).

fof(f285,plain,
    double_divide(sF16,identity) = double_divide(double_divide(identity,double_divide(identity,sF16)),double_divide(identity,identity)),
    inference(superposition,[],[f72,f7]) ).

fof(f293,plain,
    double_divide(sF16,identity) = double_divide(double_divide(identity,double_divide(identity,sF16)),sF2),
    inference(forward_demodulation,[],[f285,f93]) ).

fof(f296,plain,
    double_divide(sF16,identity) = double_divide(double_divide(identity,double_divide(identity,sF16)),identity),
    inference(forward_demodulation,[],[f293,f156]) ).

fof(f370,plain,
    identity = double_divide(double_divide(sF6,double_divide(sF8,double_divide(c3,identity))),double_divide(identity,identity)),
    inference(superposition,[],[f60,f26]) ).

fof(f373,plain,
    ! [X0] : double_divide(double_divide(sF6,double_divide(double_divide(sF7,X0),double_divide(c3,identity))),identity) = X0,
    inference(superposition,[],[f60,f170]) ).

fof(f382,plain,
    identity = double_divide(double_divide(sF6,double_divide(sF8,double_divide(c3,identity))),sF2),
    inference(forward_demodulation,[],[f370,f93]) ).

fof(f386,plain,
    identity = double_divide(double_divide(sF6,double_divide(sF8,double_divide(c3,identity))),identity),
    inference(forward_demodulation,[],[f382,f156]) ).

fof(f418,plain,
    double_divide(identity,sF3) = double_divide(double_divide(sF2,sF4),sF2),
    inference(superposition,[],[f97,f139]) ).

fof(f419,plain,
    double_divide(sF4,sF3) = double_divide(double_divide(sF2,identity),sF2),
    inference(superposition,[],[f97,f140]) ).

fof(f426,plain,
    double_divide(sF4,sF3) = double_divide(double_divide(identity,identity),identity),
    inference(forward_demodulation,[],[f419,f156]) ).

fof(f427,plain,
    double_divide(identity,sF3) = double_divide(double_divide(identity,sF4),identity),
    inference(forward_demodulation,[],[f418,f156]) ).

fof(f434,plain,
    double_divide(sF4,sF3) = double_divide(sF2,identity),
    inference(forward_demodulation,[],[f426,f93]) ).

fof(f440,plain,
    double_divide(identity,identity) = double_divide(sF4,sF3),
    inference(forward_demodulation,[],[f434,f156]) ).

fof(f442,plain,
    sF2 = double_divide(sF4,sF3),
    inference(forward_demodulation,[],[f440,f93]) ).

fof(f443,plain,
    identity = double_divide(sF4,sF3),
    inference(forward_demodulation,[],[f442,f156]) ).

fof(f466,plain,
    sF3 = double_divide(double_divide(identity,double_divide(identity,sF4)),double_divide(identity,identity)),
    inference(superposition,[],[f65,f443]) ).

fof(f469,plain,
    sF3 = double_divide(double_divide(identity,double_divide(identity,sF4)),sF2),
    inference(forward_demodulation,[],[f466,f93]) ).

fof(f473,plain,
    sF3 = double_divide(double_divide(identity,double_divide(identity,sF4)),identity),
    inference(forward_demodulation,[],[f469,f156]) ).

fof(f575,plain,
    ! [X0] : double_divide(double_divide(a2,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF3)),double_divide(identity,identity)),
    inference(superposition,[],[f76,f7]) ).

fof(f587,plain,
    ! [X0] : double_divide(double_divide(a2,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF3)),sF2),
    inference(forward_demodulation,[],[f575,f93]) ).

fof(f596,plain,
    ! [X0] : double_divide(double_divide(a2,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF3)),identity),
    inference(forward_demodulation,[],[f587,f156]) ).

fof(f617,plain,
    ! [X0] : double_divide(double_divide(sF1,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF2)),double_divide(identity,identity)),
    inference(superposition,[],[f77,f7]) ).

fof(f621,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),double_divide(identity,identity)) = double_divide(double_divide(double_divide(sF1,double_divide(identity,X1)),X0),sF2),
    inference(superposition,[],[f1,f77]) ).

fof(f624,plain,
    ! [X0,X1] : double_divide(identity,identity) = double_divide(double_divide(double_divide(double_divide(double_divide(sF1,X1),X0),sF2),double_divide(X0,double_divide(X1,identity))),double_divide(identity,identity)),
    inference(superposition,[],[f1,f77]) ).

fof(f627,plain,
    ! [X0,X1] : sF2 = double_divide(double_divide(double_divide(double_divide(double_divide(sF1,X1),X0),sF2),double_divide(X0,double_divide(X1,identity))),sF2),
    inference(forward_demodulation,[],[f624,f93]) ).

fof(f630,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),double_divide(identity,identity)) = double_divide(double_divide(double_divide(sF1,double_divide(identity,X1)),X0),identity),
    inference(forward_demodulation,[],[f621,f156]) ).

fof(f634,plain,
    ! [X0] : double_divide(double_divide(sF1,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF2)),sF2),
    inference(forward_demodulation,[],[f617,f93]) ).

fof(f643,plain,
    ! [X0,X1] : identity = double_divide(double_divide(double_divide(double_divide(double_divide(sF1,X1),X0),identity),double_divide(X0,double_divide(X1,identity))),identity),
    inference(forward_demodulation,[],[f627,f156]) ).

fof(f646,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,X1)),X0),identity),
    inference(forward_demodulation,[],[f630,f88]) ).

fof(f650,plain,
    ! [X0] : double_divide(double_divide(sF1,X0),identity) = double_divide(double_divide(X0,double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f634,f156]) ).

fof(f657,plain,
    ! [X0,X1] : identity = double_divide(double_divide(double_divide(double_divide(double_divide(identity,X1),X0),identity),double_divide(X0,double_divide(X1,identity))),identity),
    inference(forward_demodulation,[],[f643,f88]) ).

fof(f660,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),sF2) = double_divide(double_divide(double_divide(identity,double_divide(identity,X1)),X0),identity),
    inference(forward_demodulation,[],[f646,f93]) ).

fof(f662,plain,
    ! [X0] : double_divide(double_divide(sF1,X0),identity) = double_divide(double_divide(X0,sF2),identity),
    inference(forward_demodulation,[],[f650,f93]) ).

fof(f669,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(double_divide(double_divide(identity,double_divide(identity,X1)),X0),identity),
    inference(forward_demodulation,[],[f660,f156]) ).

fof(f670,plain,
    ! [X0] : double_divide(double_divide(sF1,X0),identity) = double_divide(double_divide(X0,identity),identity),
    inference(forward_demodulation,[],[f662,f156]) ).

fof(f675,plain,
    ! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(double_divide(X0,identity),identity),
    inference(forward_demodulation,[],[f670,f88]) ).

fof(f772,plain,
    ! [X0] : double_divide(double_divide(sF5,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF6)),double_divide(identity,identity)),
    inference(superposition,[],[f79,f7]) ).

fof(f790,plain,
    ! [X0] : double_divide(double_divide(sF5,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF6)),sF2),
    inference(forward_demodulation,[],[f772,f93]) ).

fof(f806,plain,
    ! [X0] : double_divide(double_divide(sF5,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF6)),identity),
    inference(forward_demodulation,[],[f790,f156]) ).

fof(f938,plain,
    ! [X0] : double_divide(double_divide(sF9,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF10)),double_divide(identity,identity)),
    inference(superposition,[],[f81,f7]) ).

fof(f960,plain,
    ! [X0] : double_divide(double_divide(sF9,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF10)),sF2),
    inference(forward_demodulation,[],[f938,f93]) ).

fof(f980,plain,
    ! [X0] : double_divide(double_divide(sF9,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF10)),identity),
    inference(forward_demodulation,[],[f960,f156]) ).

fof(f1030,plain,
    ! [X0] : double_divide(double_divide(sF11,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF12)),double_divide(identity,identity)),
    inference(superposition,[],[f82,f7]) ).

fof(f1033,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),double_divide(identity,identity)) = double_divide(double_divide(double_divide(sF11,double_divide(identity,X1)),X0),sF12),
    inference(superposition,[],[f1,f82]) ).

fof(f1052,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),sF2) = double_divide(double_divide(double_divide(sF11,double_divide(identity,X1)),X0),sF12),
    inference(forward_demodulation,[],[f1033,f93]) ).

fof(f1054,plain,
    ! [X0] : double_divide(double_divide(sF11,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF12)),sF2),
    inference(forward_demodulation,[],[f1030,f93]) ).

fof(f1075,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(double_divide(double_divide(sF11,double_divide(identity,X1)),X0),sF12),
    inference(forward_demodulation,[],[f1052,f156]) ).

fof(f1076,plain,
    ! [X0] : double_divide(double_divide(sF11,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF12)),identity),
    inference(forward_demodulation,[],[f1054,f156]) ).

fof(f1128,plain,
    ! [X0] : double_divide(double_divide(sF13,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF14)),double_divide(identity,identity)),
    inference(superposition,[],[f83,f7]) ).

fof(f1154,plain,
    ! [X0] : double_divide(double_divide(sF13,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF14)),sF2),
    inference(forward_demodulation,[],[f1128,f93]) ).

fof(f1178,plain,
    ! [X0] : double_divide(double_divide(sF13,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF14)),identity),
    inference(forward_demodulation,[],[f1154,f156]) ).

fof(f1232,plain,
    ! [X0] : double_divide(double_divide(sF15,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF16)),double_divide(identity,identity)),
    inference(superposition,[],[f84,f7]) ).

fof(f1260,plain,
    ! [X0] : double_divide(double_divide(sF15,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF16)),sF2),
    inference(forward_demodulation,[],[f1232,f93]) ).

fof(f1286,plain,
    ! [X0] : double_divide(double_divide(sF15,X0),identity) = double_divide(double_divide(X0,double_divide(identity,sF16)),identity),
    inference(forward_demodulation,[],[f1260,f156]) ).

fof(f1354,plain,
    ! [X0] : double_divide(double_divide(sF6,X0),sF6) = double_divide(double_divide(double_divide(identity,identity),X0),double_divide(identity,identity)),
    inference(superposition,[],[f54,f66]) ).

fof(f1356,plain,
    ! [X0] : double_divide(double_divide(sF10,X0),sF10) = double_divide(double_divide(double_divide(identity,identity),X0),double_divide(identity,identity)),
    inference(superposition,[],[f54,f68]) ).

fof(f1358,plain,
    ! [X0] : double_divide(double_divide(sF14,X0),sF14) = double_divide(double_divide(double_divide(identity,identity),X0),double_divide(identity,identity)),
    inference(superposition,[],[f54,f71]) ).

fof(f1392,plain,
    ! [X0] : double_divide(double_divide(sF2,X0),sF2) = double_divide(double_divide(sF14,X0),sF14),
    inference(forward_demodulation,[],[f1358,f93]) ).

fof(f1394,plain,
    ! [X0] : double_divide(double_divide(sF2,X0),sF2) = double_divide(double_divide(sF10,X0),sF10),
    inference(forward_demodulation,[],[f1356,f93]) ).

fof(f1396,plain,
    ! [X0] : double_divide(double_divide(sF2,X0),sF2) = double_divide(double_divide(sF6,X0),sF6),
    inference(forward_demodulation,[],[f1354,f93]) ).

fof(f1432,plain,
    ! [X0] : double_divide(double_divide(sF14,X0),sF14) = double_divide(double_divide(identity,X0),identity),
    inference(forward_demodulation,[],[f1392,f156]) ).

fof(f1434,plain,
    ! [X0] : double_divide(double_divide(sF10,X0),sF10) = double_divide(double_divide(identity,X0),identity),
    inference(forward_demodulation,[],[f1394,f156]) ).

fof(f1436,plain,
    ! [X0] : double_divide(double_divide(sF6,X0),sF6) = double_divide(double_divide(identity,X0),identity),
    inference(forward_demodulation,[],[f1396,f156]) ).

fof(f1475,plain,
    ! [X0] : double_divide(double_divide(X0,double_divide(identity,sF3)),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,sF4)),X0),identity),
    inference(superposition,[],[f74,f473]) ).

fof(f1543,plain,
    ! [X0] : double_divide(double_divide(X0,double_divide(identity,sF3)),double_divide(identity,identity)) = double_divide(double_divide(sF4,X0),identity),
    inference(forward_demodulation,[],[f1475,f669]) ).

fof(f1576,plain,
    ! [X0] : double_divide(double_divide(X0,double_divide(identity,sF3)),sF2) = double_divide(double_divide(sF4,X0),identity),
    inference(forward_demodulation,[],[f1543,f93]) ).

fof(f1582,plain,
    ! [X0] : double_divide(double_divide(X0,double_divide(identity,sF3)),identity) = double_divide(double_divide(sF4,X0),identity),
    inference(forward_demodulation,[],[f1576,f156]) ).

fof(f1586,plain,
    ! [X0] : double_divide(double_divide(a2,X0),identity) = double_divide(double_divide(sF4,X0),identity),
    inference(forward_demodulation,[],[f1582,f596]) ).

fof(f1634,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(sF6,double_divide(double_divide(sF7,X0),double_divide(c3,identity))),identity)) = double_divide(double_divide(identity,X1),double_divide(identity,identity)),
    inference(superposition,[],[f85,f60]) ).

fof(f1640,plain,
    double_divide(sF3,double_divide(identity,identity)) = double_divide(double_divide(sF4,identity),double_divide(identity,identity)),
    inference(superposition,[],[f85,f473]) ).

fof(f1679,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),double_divide(identity,identity))),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f1,f85]) ).

fof(f1708,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),sF2)),sF2) = X1,
    inference(forward_demodulation,[],[f1679,f93]) ).

fof(f1746,plain,
    double_divide(sF3,sF2) = double_divide(double_divide(sF4,identity),sF2),
    inference(forward_demodulation,[],[f1640,f93]) ).

fof(f1752,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(sF6,double_divide(double_divide(sF7,X0),double_divide(c3,identity))),identity)) = double_divide(double_divide(identity,X1),sF2),
    inference(forward_demodulation,[],[f1634,f93]) ).

fof(f1798,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),identity)),identity) = X1,
    inference(forward_demodulation,[],[f1708,f156]) ).

fof(f1833,plain,
    double_divide(sF3,identity) = double_divide(double_divide(sF4,identity),identity),
    inference(forward_demodulation,[],[f1746,f156]) ).

fof(f1839,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(sF6,double_divide(double_divide(sF7,X0),double_divide(c3,identity))),identity)) = double_divide(double_divide(identity,X1),identity),
    inference(forward_demodulation,[],[f1752,f156]) ).

fof(f1896,plain,
    double_divide(sF3,identity) = double_divide(double_divide(identity,sF4),identity),
    inference(forward_demodulation,[],[f1833,f675]) ).

fof(f1901,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = double_divide(double_divide(identity,X1),identity),
    inference(forward_demodulation,[],[f1839,f373]) ).

fof(f1933,plain,
    double_divide(sF3,identity) = double_divide(identity,sF3),
    inference(forward_demodulation,[],[f1896,f427]) ).

fof(f1936,plain,
    sF4 = double_divide(identity,sF3),
    inference(forward_demodulation,[],[f1933,f18]) ).

fof(f1939,plain,
    sF4 = double_divide(double_divide(identity,sF4),identity),
    inference(superposition,[],[f211,f1936]) ).

fof(f1951,plain,
    ! [X0] : double_divide(double_divide(sF3,double_divide(double_divide(sF4,X0),double_divide(identity,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f1936]) ).

fof(f1952,plain,
    ! [X0] : double_divide(double_divide(sF3,double_divide(double_divide(sF4,X0),sF2)),sF2) = X0,
    inference(forward_demodulation,[],[f1951,f93]) ).

fof(f1964,plain,
    ! [X0] : double_divide(double_divide(sF3,double_divide(double_divide(sF4,X0),identity)),identity) = X0,
    inference(forward_demodulation,[],[f1952,f156]) ).

fof(f1969,plain,
    ! [X0] : double_divide(double_divide(sF3,double_divide(double_divide(a2,X0),identity)),identity) = X0,
    inference(forward_demodulation,[],[f1964,f1586]) ).

fof(f3108,plain,
    ! [X0,X1] : identity = double_divide(double_divide(double_divide(identity,identity),double_divide(sF3,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),a2),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f16]) ).

fof(f3112,plain,
    ! [X0,X1] : b3 = double_divide(double_divide(double_divide(identity,identity),double_divide(sF9,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),c3),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f28]) ).

fof(f3114,plain,
    ! [X0,X1] : a4 = double_divide(double_divide(double_divide(identity,identity),double_divide(sF13,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),b4),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f36]) ).

fof(f3121,plain,
    ! [X0,X1] : identity = double_divide(double_divide(double_divide(identity,identity),double_divide(sF6,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF5),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f22]) ).

fof(f3125,plain,
    ! [X0,X1] : identity = double_divide(double_divide(double_divide(identity,identity),double_divide(sF10,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF9),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f30]) ).

fof(f3128,plain,
    ! [X0,X1] : identity = double_divide(double_divide(double_divide(identity,identity),double_divide(sF12,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF11),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f34]) ).

fof(f3130,plain,
    ! [X0,X1] : identity = double_divide(double_divide(double_divide(identity,identity),double_divide(sF14,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF13),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f38]) ).

fof(f3132,plain,
    ! [X0,X1] : identity = double_divide(double_divide(double_divide(identity,identity),double_divide(sF16,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF15),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f42]) ).

fof(f3318,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(X1,X0),X0),double_divide(X1,identity)) = double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),
    inference(superposition,[],[f55,f7]) ).

fof(f3339,plain,
    ! [X0,X1] : double_divide(double_divide(identity,identity),identity) = double_divide(double_divide(double_divide(X1,X0),X0),double_divide(X1,identity)),
    inference(forward_demodulation,[],[f3318,f1901]) ).

fof(f3522,plain,
    ! [X0,X1] : identity = double_divide(double_divide(identity,double_divide(sF16,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF15),double_divide(X1,identity))),identity))),identity),
    inference(forward_demodulation,[],[f3132,f1901]) ).

fof(f3524,plain,
    ! [X0,X1] : identity = double_divide(double_divide(identity,double_divide(sF14,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF13),double_divide(X1,identity))),identity))),identity),
    inference(forward_demodulation,[],[f3130,f1901]) ).

fof(f3526,plain,
    ! [X0,X1] : identity = double_divide(double_divide(identity,double_divide(sF12,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF11),double_divide(X1,identity))),identity))),identity),
    inference(forward_demodulation,[],[f3128,f1901]) ).

fof(f3529,plain,
    ! [X0,X1] : identity = double_divide(double_divide(identity,double_divide(sF10,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF9),double_divide(X1,identity))),identity))),identity),
    inference(forward_demodulation,[],[f3125,f1901]) ).

fof(f3533,plain,
    ! [X0,X1] : identity = double_divide(double_divide(identity,double_divide(sF6,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF5),double_divide(X1,identity))),identity))),identity),
    inference(forward_demodulation,[],[f3121,f1901]) ).

fof(f3540,plain,
    ! [X0,X1] : a4 = double_divide(double_divide(identity,double_divide(sF13,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),b4),double_divide(X1,identity))),identity))),identity),
    inference(forward_demodulation,[],[f3114,f1901]) ).

fof(f3542,plain,
    ! [X0,X1] : b3 = double_divide(double_divide(identity,double_divide(sF9,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),c3),double_divide(X1,identity))),identity))),identity),
    inference(forward_demodulation,[],[f3112,f1901]) ).

fof(f3546,plain,
    ! [X0,X1] : identity = double_divide(double_divide(identity,double_divide(sF3,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),a2),double_divide(X1,identity))),identity))),identity),
    inference(forward_demodulation,[],[f3108,f1901]) ).

fof(f3621,plain,
    ! [X0,X1] : double_divide(sF2,identity) = double_divide(double_divide(double_divide(X1,X0),X0),double_divide(X1,identity)),
    inference(forward_demodulation,[],[f3339,f93]) ).

fof(f3802,plain,
    identity = double_divide(double_divide(identity,double_divide(sF16,sF15)),identity),
    inference(forward_demodulation,[],[f3522,f188]) ).

fof(f3804,plain,
    identity = double_divide(double_divide(identity,double_divide(sF14,sF13)),identity),
    inference(forward_demodulation,[],[f3524,f188]) ).

fof(f3806,plain,
    identity = double_divide(double_divide(identity,double_divide(sF12,sF11)),identity),
    inference(forward_demodulation,[],[f3526,f188]) ).

fof(f3809,plain,
    identity = double_divide(double_divide(identity,double_divide(sF10,sF9)),identity),
    inference(forward_demodulation,[],[f3529,f188]) ).

fof(f3813,plain,
    identity = double_divide(double_divide(identity,double_divide(sF6,sF5)),identity),
    inference(forward_demodulation,[],[f3533,f188]) ).

fof(f3820,plain,
    a4 = double_divide(double_divide(identity,double_divide(sF13,b4)),identity),
    inference(forward_demodulation,[],[f3540,f188]) ).

fof(f3822,plain,
    b3 = double_divide(double_divide(identity,double_divide(sF9,c3)),identity),
    inference(forward_demodulation,[],[f3542,f188]) ).

fof(f3826,plain,
    identity = double_divide(double_divide(identity,double_divide(sF3,a2)),identity),
    inference(forward_demodulation,[],[f3546,f188]) ).

fof(f3899,plain,
    ! [X0,X1] : double_divide(identity,identity) = double_divide(double_divide(double_divide(X1,X0),X0),double_divide(X1,identity)),
    inference(forward_demodulation,[],[f3621,f156]) ).

fof(f4063,plain,
    ! [X0,X1] : sF2 = double_divide(double_divide(double_divide(X1,X0),X0),double_divide(X1,identity)),
    inference(forward_demodulation,[],[f3899,f93]) ).

fof(f4187,plain,
    ! [X0,X1] : identity = double_divide(double_divide(double_divide(X1,X0),X0),double_divide(X1,identity)),
    inference(forward_demodulation,[],[f4063,f156]) ).

fof(f5147,plain,
    ! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(identity,X0)),identity),
    inference(superposition,[],[f168,f7]) ).

fof(f5279,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(sF3,a2),
    inference(superposition,[],[f168,f3826]) ).

fof(f5282,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(sF6,sF5),
    inference(superposition,[],[f168,f3813]) ).

fof(f5286,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(sF10,sF9),
    inference(superposition,[],[f168,f3809]) ).

fof(f5288,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(sF12,sF11),
    inference(superposition,[],[f168,f3806]) ).

fof(f5290,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(sF14,sF13),
    inference(superposition,[],[f168,f3804]) ).

fof(f5292,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(sF16,sF15),
    inference(superposition,[],[f168,f3802]) ).

fof(f5327,plain,
    double_divide(sF2,identity) = double_divide(sF16,sF15),
    inference(forward_demodulation,[],[f5292,f93]) ).

fof(f5328,plain,
    double_divide(sF2,identity) = double_divide(sF14,sF13),
    inference(forward_demodulation,[],[f5290,f93]) ).

fof(f5329,plain,
    double_divide(sF2,identity) = double_divide(sF12,sF11),
    inference(forward_demodulation,[],[f5288,f93]) ).

fof(f5330,plain,
    double_divide(sF2,identity) = double_divide(sF10,sF9),
    inference(forward_demodulation,[],[f5286,f93]) ).

fof(f5332,plain,
    double_divide(sF2,identity) = double_divide(sF6,sF5),
    inference(forward_demodulation,[],[f5282,f93]) ).

fof(f5334,plain,
    double_divide(sF2,identity) = double_divide(sF3,a2),
    inference(forward_demodulation,[],[f5279,f93]) ).

fof(f5427,plain,
    double_divide(identity,identity) = double_divide(sF16,sF15),
    inference(forward_demodulation,[],[f5327,f156]) ).

fof(f5428,plain,
    double_divide(identity,identity) = double_divide(sF14,sF13),
    inference(forward_demodulation,[],[f5328,f156]) ).

fof(f5429,plain,
    double_divide(identity,identity) = double_divide(sF12,sF11),
    inference(forward_demodulation,[],[f5329,f156]) ).

fof(f5430,plain,
    double_divide(identity,identity) = double_divide(sF10,sF9),
    inference(forward_demodulation,[],[f5330,f156]) ).

fof(f5432,plain,
    double_divide(identity,identity) = double_divide(sF6,sF5),
    inference(forward_demodulation,[],[f5332,f156]) ).

fof(f5434,plain,
    double_divide(identity,identity) = double_divide(sF3,a2),
    inference(forward_demodulation,[],[f5334,f156]) ).

fof(f5454,plain,
    sF2 = double_divide(sF16,sF15),
    inference(forward_demodulation,[],[f5427,f93]) ).

fof(f5455,plain,
    sF2 = double_divide(sF14,sF13),
    inference(forward_demodulation,[],[f5428,f93]) ).

fof(f5456,plain,
    sF2 = double_divide(sF12,sF11),
    inference(forward_demodulation,[],[f5429,f93]) ).

fof(f5457,plain,
    sF2 = double_divide(sF10,sF9),
    inference(forward_demodulation,[],[f5430,f93]) ).

fof(f5459,plain,
    sF2 = double_divide(sF6,sF5),
    inference(forward_demodulation,[],[f5432,f93]) ).

fof(f5461,plain,
    sF2 = double_divide(sF3,a2),
    inference(forward_demodulation,[],[f5434,f93]) ).

fof(f5469,plain,
    identity = double_divide(sF16,sF15),
    inference(forward_demodulation,[],[f5454,f156]) ).

fof(f5470,plain,
    identity = double_divide(sF14,sF13),
    inference(forward_demodulation,[],[f5455,f156]) ).

fof(f5471,plain,
    identity = double_divide(sF12,sF11),
    inference(forward_demodulation,[],[f5456,f156]) ).

fof(f5472,plain,
    identity = double_divide(sF10,sF9),
    inference(forward_demodulation,[],[f5457,f156]) ).

fof(f5474,plain,
    identity = double_divide(sF6,sF5),
    inference(forward_demodulation,[],[f5459,f156]) ).

fof(f5475,plain,
    identity = double_divide(sF3,a2),
    inference(forward_demodulation,[],[f5461,f156]) ).

fof(f5579,plain,
    sF15 = double_divide(double_divide(identity,double_divide(identity,sF16)),identity),
    inference(superposition,[],[f168,f5469]) ).

fof(f5581,plain,
    ! [X0,X1] : sF15 = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF16),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f5469]) ).

fof(f5586,plain,
    ! [X0,X1] : sF15 = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF16),double_divide(X1,identity))),double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f5581,f74]) ).

fof(f5588,plain,
    sF15 = double_divide(double_divide(sF15,identity),identity),
    inference(forward_demodulation,[],[f5579,f1286]) ).

fof(f5593,plain,
    sF15 = double_divide(sF16,identity),
    inference(forward_demodulation,[],[f5586,f1]) ).

fof(f5594,plain,
    sF15 = double_divide(double_divide(identity,sF15),identity),
    inference(forward_demodulation,[],[f5588,f675]) ).

fof(f5642,plain,
    sF13 = double_divide(double_divide(identity,double_divide(identity,sF14)),identity),
    inference(superposition,[],[f168,f5470]) ).

fof(f5644,plain,
    ! [X0,X1] : sF13 = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF14),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f5470]) ).

fof(f5649,plain,
    ! [X0,X1] : sF13 = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF14),double_divide(X1,identity))),double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f5644,f74]) ).

fof(f5651,plain,
    sF13 = double_divide(double_divide(sF13,identity),identity),
    inference(forward_demodulation,[],[f5642,f1178]) ).

fof(f5656,plain,
    sF13 = double_divide(sF14,identity),
    inference(forward_demodulation,[],[f5649,f1]) ).

fof(f5657,plain,
    sF13 = double_divide(double_divide(identity,sF13),identity),
    inference(forward_demodulation,[],[f5651,f675]) ).

fof(f5705,plain,
    sF11 = double_divide(double_divide(identity,double_divide(identity,sF12)),identity),
    inference(superposition,[],[f168,f5471]) ).

fof(f5707,plain,
    ! [X0,X1] : sF11 = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF12),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f5471]) ).

fof(f5712,plain,
    ! [X0,X1] : sF11 = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF12),double_divide(X1,identity))),double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f5707,f74]) ).

fof(f5714,plain,
    sF11 = double_divide(double_divide(sF11,identity),identity),
    inference(forward_demodulation,[],[f5705,f1076]) ).

fof(f5719,plain,
    sF11 = double_divide(sF12,identity),
    inference(forward_demodulation,[],[f5712,f1]) ).

fof(f5720,plain,
    sF11 = double_divide(double_divide(identity,sF11),identity),
    inference(forward_demodulation,[],[f5714,f675]) ).

fof(f5727,plain,
    double_divide(identity,sF12) = double_divide(double_divide(identity,double_divide(sF12,identity)),identity),
    inference(superposition,[],[f168,f254]) ).

fof(f5756,plain,
    double_divide(identity,sF12) = double_divide(double_divide(identity,sF11),identity),
    inference(forward_demodulation,[],[f5727,f5719]) ).

fof(f5766,plain,
    sF11 = double_divide(identity,sF12),
    inference(forward_demodulation,[],[f5756,f5720]) ).

fof(f5784,plain,
    sF9 = double_divide(double_divide(identity,double_divide(identity,sF10)),identity),
    inference(superposition,[],[f168,f5472]) ).

fof(f5786,plain,
    ! [X0,X1] : sF9 = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF10),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f5472]) ).

fof(f5791,plain,
    ! [X0,X1] : sF9 = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF10),double_divide(X1,identity))),double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f5786,f74]) ).

fof(f5793,plain,
    sF9 = double_divide(double_divide(sF9,identity),identity),
    inference(forward_demodulation,[],[f5784,f980]) ).

fof(f5798,plain,
    sF9 = double_divide(sF10,identity),
    inference(forward_demodulation,[],[f5791,f1]) ).

fof(f5799,plain,
    sF9 = double_divide(double_divide(identity,sF9),identity),
    inference(forward_demodulation,[],[f5793,f675]) ).

fof(f5806,plain,
    double_divide(identity,sF14) = double_divide(double_divide(identity,double_divide(sF14,identity)),identity),
    inference(superposition,[],[f168,f277]) ).

fof(f5835,plain,
    double_divide(identity,sF14) = double_divide(double_divide(identity,sF13),identity),
    inference(forward_demodulation,[],[f5806,f5656]) ).

fof(f5845,plain,
    sF13 = double_divide(identity,sF14),
    inference(forward_demodulation,[],[f5835,f5657]) ).

fof(f5885,plain,
    double_divide(identity,sF16) = double_divide(double_divide(identity,double_divide(sF16,identity)),identity),
    inference(superposition,[],[f168,f296]) ).

fof(f5914,plain,
    double_divide(identity,sF16) = double_divide(double_divide(identity,sF15),identity),
    inference(forward_demodulation,[],[f5885,f5593]) ).

fof(f5924,plain,
    sF15 = double_divide(identity,sF16),
    inference(forward_demodulation,[],[f5914,f5594]) ).

fof(f5942,plain,
    sF5 = double_divide(double_divide(identity,double_divide(identity,sF6)),identity),
    inference(superposition,[],[f168,f5474]) ).

fof(f5944,plain,
    ! [X0,X1] : sF5 = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF6),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f5474]) ).

fof(f5949,plain,
    ! [X0,X1] : sF5 = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF6),double_divide(X1,identity))),double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f5944,f74]) ).

fof(f5951,plain,
    sF5 = double_divide(double_divide(sF5,identity),identity),
    inference(forward_demodulation,[],[f5942,f806]) ).

fof(f5956,plain,
    sF5 = double_divide(sF6,identity),
    inference(forward_demodulation,[],[f5949,f1]) ).

fof(f5957,plain,
    sF5 = double_divide(double_divide(identity,sF5),identity),
    inference(forward_demodulation,[],[f5951,f675]) ).

fof(f6014,plain,
    ! [X0,X1] : a2 = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF3),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f5475]) ).

fof(f6019,plain,
    ! [X0,X1] : a2 = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF3),double_divide(X1,identity))),double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f6014,f74]) ).

fof(f6027,plain,
    a2 = double_divide(sF3,identity),
    inference(forward_demodulation,[],[f6019,f1]) ).

fof(f6646,plain,
    ! [X0] : double_divide(double_divide(double_divide(identity,X0),identity),identity) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
    inference(superposition,[],[f675,f675]) ).

fof(f6750,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(X0,identity)),identity) = double_divide(double_divide(identity,double_divide(identity,X0)),identity),
    inference(forward_demodulation,[],[f6646,f675]) ).

fof(f6815,plain,
    ! [X0] : double_divide(X0,identity) = double_divide(double_divide(identity,double_divide(X0,identity)),identity),
    inference(forward_demodulation,[],[f6750,f5147]) ).

fof(f7321,plain,
    a2 = sF4,
    inference(superposition,[],[f18,f6027]) ).

fof(f7698,plain,
    ! [X0] : double_divide(double_divide(X0,sF14),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),double_divide(sF14,identity)),
    inference(superposition,[],[f85,f1432]) ).

fof(f7708,plain,
    ! [X0] : double_divide(double_divide(X0,sF14),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),sF13),
    inference(forward_demodulation,[],[f7698,f5656]) ).

fof(f7719,plain,
    ! [X0] : double_divide(double_divide(X0,sF14),double_divide(identity,identity)) = double_divide(double_divide(X0,identity),sF13),
    inference(forward_demodulation,[],[f7708,f5147]) ).

fof(f7727,plain,
    ! [X0] : double_divide(double_divide(X0,identity),sF13) = double_divide(double_divide(X0,sF14),sF2),
    inference(forward_demodulation,[],[f7719,f93]) ).

fof(f7731,plain,
    ! [X0] : double_divide(double_divide(X0,identity),sF13) = double_divide(double_divide(X0,sF14),identity),
    inference(forward_demodulation,[],[f7727,f156]) ).

fof(f7880,plain,
    double_divide(identity,sF10) = double_divide(double_divide(identity,sF9),identity),
    inference(superposition,[],[f1434,f5472]) ).

fof(f7904,plain,
    sF9 = double_divide(identity,sF10),
    inference(forward_demodulation,[],[f7880,f5799]) ).

fof(f8076,plain,
    double_divide(identity,sF6) = double_divide(double_divide(identity,sF5),identity),
    inference(superposition,[],[f1436,f5474]) ).

fof(f8100,plain,
    sF5 = double_divide(identity,sF6),
    inference(forward_demodulation,[],[f8076,f5957]) ).

fof(f8579,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(double_divide(sF10,identity),double_divide(identity,double_divide(identity,sF10))),
    inference(superposition,[],[f1901,f232]) ).

fof(f8581,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(double_divide(sF14,identity),double_divide(identity,double_divide(identity,sF14))),
    inference(superposition,[],[f1901,f277]) ).

fof(f8582,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(double_divide(sF16,identity),double_divide(identity,double_divide(identity,sF16))),
    inference(superposition,[],[f1901,f296]) ).

fof(f8727,plain,
    ! [X0] : double_divide(identity,sF3) = double_divide(double_divide(X0,sF4),X0),
    inference(superposition,[],[f1901,f427]) ).

fof(f8743,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),double_divide(X1,identity)),
    inference(superposition,[],[f85,f1901]) ).

fof(f8752,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(sF1,double_divide(identity,identity)),X0),sF2)),identity) = X0,
    inference(superposition,[],[f77,f1901]) ).

fof(f8787,plain,
    ! [X0] : double_divide(sF6,identity) = double_divide(double_divide(X0,double_divide(identity,sF6)),X0),
    inference(superposition,[],[f185,f1901]) ).

fof(f8789,plain,
    ! [X0] : double_divide(sF10,identity) = double_divide(double_divide(X0,double_divide(identity,sF10)),X0),
    inference(superposition,[],[f232,f1901]) ).

fof(f8790,plain,
    ! [X0] : double_divide(sF12,identity) = double_divide(double_divide(X0,double_divide(identity,sF12)),X0),
    inference(superposition,[],[f254,f1901]) ).

fof(f8807,plain,
    ! [X0] : identity = double_divide(double_divide(X0,double_divide(sF16,sF15)),X0),
    inference(superposition,[],[f3802,f1901]) ).

fof(f8811,plain,
    ! [X0] : sF4 = double_divide(double_divide(X0,sF4),X0),
    inference(superposition,[],[f1939,f1901]) ).

fof(f8850,plain,
    ! [X0] : a2 = double_divide(double_divide(X0,a2),X0),
    inference(forward_demodulation,[],[f8811,f7321]) ).

fof(f8854,plain,
    ! [X0] : identity = double_divide(double_divide(X0,identity),X0),
    inference(forward_demodulation,[],[f8807,f5469]) ).

fof(f8865,plain,
    ! [X0] : double_divide(sF12,identity) = double_divide(double_divide(X0,sF11),X0),
    inference(forward_demodulation,[],[f8790,f5766]) ).

fof(f8866,plain,
    ! [X0] : double_divide(sF10,identity) = double_divide(double_divide(X0,sF9),X0),
    inference(forward_demodulation,[],[f8789,f7904]) ).

fof(f8868,plain,
    ! [X0] : double_divide(sF6,identity) = double_divide(double_divide(X0,sF5),X0),
    inference(forward_demodulation,[],[f8787,f8100]) ).

fof(f8900,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(sF1,double_divide(identity,identity)),X0),identity)),identity) = X0,
    inference(forward_demodulation,[],[f8752,f156]) ).

fof(f8909,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(identity,identity)) = double_divide(double_divide(X0,identity),double_divide(X1,identity)),
    inference(forward_demodulation,[],[f8743,f5147]) ).

fof(f8923,plain,
    ! [X0] : double_divide(identity,sF3) = double_divide(double_divide(X0,a2),X0),
    inference(forward_demodulation,[],[f8727,f7321]) ).

fof(f9051,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(double_divide(sF16,identity),double_divide(identity,sF15)),
    inference(forward_demodulation,[],[f8582,f5924]) ).

fof(f9052,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(double_divide(sF14,identity),double_divide(identity,sF13)),
    inference(forward_demodulation,[],[f8581,f5845]) ).

fof(f9054,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(double_divide(sF10,identity),double_divide(identity,sF9)),
    inference(forward_demodulation,[],[f8579,f7904]) ).

fof(f9133,plain,
    ! [X0] : sF11 = double_divide(double_divide(X0,sF11),X0),
    inference(forward_demodulation,[],[f8865,f5719]) ).

fof(f9134,plain,
    ! [X0] : sF9 = double_divide(double_divide(X0,sF9),X0),
    inference(forward_demodulation,[],[f8866,f5798]) ).

fof(f9136,plain,
    ! [X0] : sF5 = double_divide(double_divide(X0,sF5),X0),
    inference(forward_demodulation,[],[f8868,f5956]) ).

fof(f9157,plain,
    ! [X0] : double_divide(double_divide(double_divide(sF1,double_divide(identity,identity)),X0),identity) = X0,
    inference(forward_demodulation,[],[f8900,f6815]) ).

fof(f9163,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),sF2) = double_divide(double_divide(X0,identity),double_divide(X1,identity)),
    inference(forward_demodulation,[],[f8909,f93]) ).

fof(f9176,plain,
    a2 = double_divide(identity,sF3),
    inference(forward_demodulation,[],[f8923,f8850]) ).

fof(f9248,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(sF15,double_divide(identity,sF15)),
    inference(forward_demodulation,[],[f9051,f5593]) ).

fof(f9249,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(sF13,double_divide(identity,sF13)),
    inference(forward_demodulation,[],[f9052,f5656]) ).

fof(f9251,plain,
    double_divide(double_divide(identity,identity),identity) = double_divide(sF9,double_divide(identity,sF9)),
    inference(forward_demodulation,[],[f9054,f5798]) ).

fof(f9319,plain,
    ! [X0] : double_divide(double_divide(double_divide(sF1,sF2),X0),identity) = X0,
    inference(forward_demodulation,[],[f9157,f93]) ).

fof(f9321,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(X0,identity),double_divide(X1,identity)),
    inference(forward_demodulation,[],[f9163,f156]) ).

fof(f9357,plain,
    identity = double_divide(sF15,double_divide(identity,sF15)),
    inference(forward_demodulation,[],[f9248,f8854]) ).

fof(f9358,plain,
    identity = double_divide(sF13,double_divide(identity,sF13)),
    inference(forward_demodulation,[],[f9249,f8854]) ).

fof(f9360,plain,
    identity = double_divide(sF9,double_divide(identity,sF9)),
    inference(forward_demodulation,[],[f9251,f8854]) ).

fof(f9422,plain,
    ! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
    inference(forward_demodulation,[],[f9319,f46]) ).

fof(f9504,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X0,X1),double_divide(double_divide(sF3,double_divide(double_divide(a2,X0),double_divide(identity,identity))),identity))),double_divide(identity,identity)) = X1,
    inference(superposition,[],[f55,f9176]) ).

fof(f9511,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(double_divide(sF3,double_divide(double_divide(a2,X0),double_divide(identity,identity))),identity))),identity) = X1,
    inference(forward_demodulation,[],[f9504,f1901]) ).

fof(f9531,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(sF3,double_divide(double_divide(a2,X0),double_divide(identity,identity))),identity)) = X1,
    inference(forward_demodulation,[],[f9511,f9422]) ).

fof(f9540,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(sF3,double_divide(double_divide(a2,X0),sF2)),identity)) = X1,
    inference(forward_demodulation,[],[f9531,f93]) ).

fof(f9544,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(sF3,double_divide(double_divide(a2,X0),identity)),identity)) = X1,
    inference(forward_demodulation,[],[f9540,f156]) ).

fof(f9546,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
    inference(forward_demodulation,[],[f9544,f1969]) ).

fof(f9812,plain,
    ! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f4187]) ).

fof(f9843,plain,
    ! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
    inference(forward_demodulation,[],[f9812,f9321]) ).

fof(f10278,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(identity,identity)) = double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(identity,X0),identity),identity)),
    inference(superposition,[],[f85,f8854]) ).

fof(f10284,plain,
    ! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(identity,double_divide(X0,identity)),
    inference(superposition,[],[f1901,f8854]) ).

fof(f10286,plain,
    ! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
    inference(forward_demodulation,[],[f10284,f9546]) ).

fof(f10292,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(identity,identity)) = double_divide(double_divide(identity,X1),double_divide(double_divide(identity,double_divide(identity,X0)),identity)),
    inference(forward_demodulation,[],[f10278,f675]) ).

fof(f10361,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(identity,identity)) = double_divide(double_divide(identity,X1),double_divide(identity,X0)),
    inference(forward_demodulation,[],[f10292,f9546]) ).

fof(f10400,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),sF2) = double_divide(double_divide(identity,X1),double_divide(identity,X0)),
    inference(forward_demodulation,[],[f10361,f93]) ).

fof(f10415,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),identity) = double_divide(double_divide(identity,X1),double_divide(identity,X0)),
    inference(forward_demodulation,[],[f10400,f156]) ).

fof(f13199,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(sF15,identity)) = double_divide(double_divide(sF15,X0),double_divide(identity,identity)),
    inference(superposition,[],[f85,f9357]) ).

fof(f13202,plain,
    ! [X0,X1] : double_divide(identity,sF15) = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF15),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f9357]) ).

fof(f13209,plain,
    ! [X0,X1] : double_divide(identity,sF15) = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF15),double_divide(X1,identity))),double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f13202,f74]) ).

fof(f13212,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(sF15,identity)) = double_divide(double_divide(sF15,X0),sF2),
    inference(forward_demodulation,[],[f13199,f93]) ).

fof(f13216,plain,
    double_divide(sF15,identity) = double_divide(identity,sF15),
    inference(forward_demodulation,[],[f13209,f1]) ).

fof(f13219,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(sF15,identity)) = double_divide(double_divide(sF15,X0),identity),
    inference(forward_demodulation,[],[f13212,f156]) ).

fof(f13222,plain,
    sF16 = double_divide(identity,sF15),
    inference(forward_demodulation,[],[f13216,f42]) ).

fof(f13224,plain,
    ! [X0] : double_divide(double_divide(identity,X0),sF16) = double_divide(double_divide(sF15,X0),identity),
    inference(forward_demodulation,[],[f13219,f42]) ).

fof(f14269,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(sF13,identity)) = double_divide(double_divide(sF13,X0),double_divide(identity,identity)),
    inference(superposition,[],[f85,f9358]) ).

fof(f14272,plain,
    ! [X0,X1] : double_divide(identity,sF13) = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF13),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f9358]) ).

fof(f14279,plain,
    ! [X0,X1] : double_divide(identity,sF13) = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF13),double_divide(X1,identity))),double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f14272,f74]) ).

fof(f14282,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(sF13,identity)) = double_divide(double_divide(sF13,X0),sF2),
    inference(forward_demodulation,[],[f14269,f93]) ).

fof(f14286,plain,
    double_divide(sF13,identity) = double_divide(identity,sF13),
    inference(forward_demodulation,[],[f14279,f1]) ).

fof(f14289,plain,
    ! [X0] : double_divide(double_divide(identity,X0),double_divide(sF13,identity)) = double_divide(double_divide(sF13,X0),identity),
    inference(forward_demodulation,[],[f14282,f156]) ).

fof(f14292,plain,
    sF14 = double_divide(identity,sF13),
    inference(forward_demodulation,[],[f14286,f38]) ).

fof(f14294,plain,
    ! [X0] : double_divide(double_divide(identity,X0),sF14) = double_divide(double_divide(sF13,X0),identity),
    inference(forward_demodulation,[],[f14289,f38]) ).

fof(f16208,plain,
    ! [X0,X1] : double_divide(identity,sF9) = double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF9),double_divide(X1,identity))),identity))),double_divide(identity,identity)),
    inference(superposition,[],[f55,f9360]) ).

fof(f16215,plain,
    ! [X0,X1] : double_divide(identity,sF9) = double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),sF9),double_divide(X1,identity))),double_divide(identity,identity)),identity),
    inference(forward_demodulation,[],[f16208,f74]) ).

fof(f16222,plain,
    double_divide(sF9,identity) = double_divide(identity,sF9),
    inference(forward_demodulation,[],[f16215,f1]) ).

fof(f16228,plain,
    sF10 = double_divide(identity,sF9),
    inference(forward_demodulation,[],[f16222,f30]) ).

fof(f18682,plain,
    b3 = double_divide(sF9,c3),
    inference(superposition,[],[f3822,f9422]) ).

fof(f18684,plain,
    a3 = double_divide(sF11,sF10),
    inference(superposition,[],[f233,f9422]) ).

fof(f18686,plain,
    a4 = double_divide(sF13,b4),
    inference(superposition,[],[f3820,f9422]) ).

fof(f18710,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),identity) = double_divide(double_divide(X1,double_divide(identity,X0)),double_divide(identity,identity)),
    inference(superposition,[],[f74,f9422]) ).

fof(f18747,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),identity) = double_divide(double_divide(X1,double_divide(identity,X0)),sF2),
    inference(forward_demodulation,[],[f18710,f93]) ).

fof(f18787,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),X1),identity) = double_divide(double_divide(X1,double_divide(identity,X0)),identity),
    inference(forward_demodulation,[],[f18747,f156]) ).

fof(f19167,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,sF10))),identity) = double_divide(double_divide(double_divide(sF9,X0),identity),identity),
    inference(superposition,[],[f675,f980]) ).

fof(f19182,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,sF10))),identity) = double_divide(double_divide(identity,double_divide(sF9,X0)),identity),
    inference(forward_demodulation,[],[f19167,f675]) ).

fof(f19233,plain,
    ! [X0] : double_divide(sF9,X0) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,sF10))),identity),
    inference(forward_demodulation,[],[f19182,f9546]) ).

fof(f19281,plain,
    ! [X0] : double_divide(sF9,X0) = double_divide(X0,double_divide(identity,sF10)),
    inference(forward_demodulation,[],[f19233,f9546]) ).

fof(f19319,plain,
    ! [X0] : double_divide(sF9,X0) = double_divide(X0,sF9),
    inference(forward_demodulation,[],[f19281,f7904]) ).

fof(f19457,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,sF12))),identity) = double_divide(double_divide(double_divide(sF11,X0),identity),identity),
    inference(superposition,[],[f675,f1076]) ).

fof(f19472,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,sF12))),identity) = double_divide(double_divide(identity,double_divide(sF11,X0)),identity),
    inference(forward_demodulation,[],[f19457,f675]) ).

fof(f19523,plain,
    ! [X0] : double_divide(sF11,X0) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,sF12))),identity),
    inference(forward_demodulation,[],[f19472,f9546]) ).

fof(f19571,plain,
    ! [X0] : double_divide(sF11,X0) = double_divide(X0,double_divide(identity,sF12)),
    inference(forward_demodulation,[],[f19523,f9546]) ).

fof(f19609,plain,
    ! [X0] : double_divide(sF11,X0) = double_divide(X0,sF11),
    inference(forward_demodulation,[],[f19571,f5766]) ).

fof(f19712,plain,
    ! [X0] : double_divide(double_divide(double_divide(identity,X0),identity),identity) = double_divide(double_divide(sF13,double_divide(double_divide(identity,sF14),X0)),identity),
    inference(superposition,[],[f1178,f1901]) ).

fof(f19758,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,sF14))),identity) = double_divide(double_divide(double_divide(sF13,X0),identity),identity),
    inference(superposition,[],[f675,f1178]) ).

fof(f19773,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(X0,double_divide(identity,sF14))),identity) = double_divide(double_divide(identity,double_divide(sF13,X0)),identity),
    inference(forward_demodulation,[],[f19758,f675]) ).

fof(f19818,plain,
    ! [X0] : double_divide(double_divide(double_divide(identity,X0),identity),identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,sF14),X0)),sF14),
    inference(forward_demodulation,[],[f19712,f14294]) ).

fof(f19824,plain,
    ! [X0] : double_divide(sF13,X0) = double_divide(double_divide(identity,double_divide(X0,double_divide(identity,sF14))),identity),
    inference(forward_demodulation,[],[f19773,f9546]) ).

fof(f19868,plain,
    ! [X0] : double_divide(double_divide(double_divide(identity,X0),identity),identity) = double_divide(double_divide(identity,double_divide(sF13,X0)),sF14),
    inference(forward_demodulation,[],[f19818,f5845]) ).

fof(f19872,plain,
    ! [X0] : double_divide(sF13,X0) = double_divide(X0,double_divide(identity,sF14)),
    inference(forward_demodulation,[],[f19824,f9546]) ).

fof(f19908,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(identity,X0)),identity) = double_divide(double_divide(identity,double_divide(sF13,X0)),sF14),
    inference(forward_demodulation,[],[f19868,f675]) ).

fof(f19910,plain,
    ! [X0] : double_divide(sF13,X0) = double_divide(X0,sF13),
    inference(forward_demodulation,[],[f19872,f5845]) ).

fof(f19939,plain,
    ! [X0] : double_divide(identity,X0) = double_divide(double_divide(identity,double_divide(sF13,X0)),sF14),
    inference(forward_demodulation,[],[f19908,f9546]) ).

fof(f19987,plain,
    identity = double_divide(double_divide(a4,b4),double_divide(sF13,identity)),
    inference(superposition,[],[f4187,f18686]) ).

fof(f19988,plain,
    identity = double_divide(double_divide(a4,b4),sF14),
    inference(forward_demodulation,[],[f19987,f38]) ).

fof(f19997,plain,
    identity = double_divide(sF15,sF14),
    inference(forward_demodulation,[],[f19988,f40]) ).

fof(f20350,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(X1,X0)),double_divide(double_divide(double_divide(identity,X0),identity),identity)),identity) = X1,
    inference(superposition,[],[f1798,f1901]) ).

fof(f20611,plain,
    double_divide(sF8,double_divide(c3,identity)) = double_divide(double_divide(double_divide(identity,sF6),identity),identity),
    inference(superposition,[],[f1798,f386]) ).

fof(f20722,plain,
    double_divide(double_divide(identity,double_divide(identity,sF6)),identity) = double_divide(sF8,double_divide(c3,identity)),
    inference(forward_demodulation,[],[f20611,f675]) ).

fof(f20979,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(X1,X0)),double_divide(double_divide(identity,double_divide(identity,X0)),identity)),identity) = X1,
    inference(forward_demodulation,[],[f20350,f675]) ).

fof(f21050,plain,
    double_divide(sF8,double_divide(c3,identity)) = double_divide(double_divide(sF5,identity),identity),
    inference(forward_demodulation,[],[f20722,f806]) ).

fof(f21254,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(X1,X0)),double_divide(identity,X0)),identity) = X1,
    inference(forward_demodulation,[],[f20979,f9546]) ).

fof(f21313,plain,
    double_divide(sF8,double_divide(c3,identity)) = double_divide(double_divide(identity,sF5),identity),
    inference(forward_demodulation,[],[f21050,f675]) ).

fof(f21455,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X1,X0))),identity) = X1,
    inference(forward_demodulation,[],[f21254,f18787]) ).

fof(f21484,plain,
    sF5 = double_divide(sF8,double_divide(c3,identity)),
    inference(forward_demodulation,[],[f21313,f9136]) ).

fof(f21582,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(double_divide(X1,X0),X0),identity),identity) = X1,
    inference(forward_demodulation,[],[f21455,f10415]) ).

fof(f21629,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,X0),X0)),identity) = X1,
    inference(forward_demodulation,[],[f21582,f675]) ).

fof(f21662,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),X0) = X1,
    inference(forward_demodulation,[],[f21629,f9546]) ).

fof(f24072,plain,
    double_divide(identity,sF15) = double_divide(double_divide(identity,sF14),identity),
    inference(superposition,[],[f1901,f19997]) ).

fof(f24077,plain,
    double_divide(identity,sF15) = double_divide(double_divide(identity,identity),sF13),
    inference(forward_demodulation,[],[f24072,f7731]) ).

fof(f24087,plain,
    double_divide(identity,sF15) = double_divide(sF13,double_divide(identity,identity)),
    inference(forward_demodulation,[],[f24077,f19910]) ).

fof(f24096,plain,
    double_divide(identity,sF15) = double_divide(sF13,sF2),
    inference(forward_demodulation,[],[f24087,f93]) ).

fof(f24104,plain,
    double_divide(identity,sF15) = double_divide(sF2,sF13),
    inference(forward_demodulation,[],[f24096,f19910]) ).

fof(f24110,plain,
    double_divide(identity,sF13) = double_divide(identity,sF15),
    inference(forward_demodulation,[],[f24104,f156]) ).

fof(f24114,plain,
    sF16 = double_divide(identity,sF13),
    inference(forward_demodulation,[],[f24110,f13222]) ).

fof(f24118,plain,
    sF14 = sF16,
    inference(forward_demodulation,[],[f24114,f14292]) ).

fof(f24373,plain,
    ( sF14 != sF14
    | a2 != sF4
    | sF8 != sF12
    | identity != sF2 ),
    inference(superposition,[],[f43,f24118]) ).

fof(f24385,plain,
    identity = double_divide(sF14,sF15),
    inference(superposition,[],[f5469,f24118]) ).

fof(f24388,plain,
    ( a2 != sF4
    | sF8 != sF12
    | identity != sF2 ),
    inference(trivial_inequality_removal,[],[f24373]) ).

fof(f24394,plain,
    ( sF8 != sF12
    | identity != sF2 ),
    inference(forward_subsumption_resolution,[],[f24388,f7321]) ).

fof(f24397,plain,
    sF8 != sF12,
    inference(forward_subsumption_resolution,[],[f24394,f156]) ).

fof(f27007,plain,
    ! [X0] : double_divide(double_divide(sF15,double_divide(double_divide(identity,X0),double_divide(sF14,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f24385]) ).

fof(f27024,plain,
    ! [X0] : double_divide(double_divide(sF15,double_divide(double_divide(identity,X0),double_divide(sF14,identity))),sF2) = X0,
    inference(forward_demodulation,[],[f27007,f93]) ).

fof(f27036,plain,
    ! [X0] : double_divide(double_divide(sF15,double_divide(double_divide(identity,X0),double_divide(sF14,identity))),identity) = X0,
    inference(forward_demodulation,[],[f27024,f156]) ).

fof(f27046,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(sF14,identity))),sF16) = X0,
    inference(forward_demodulation,[],[f27036,f13224]) ).

fof(f27053,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(sF14,identity))),sF14) = X0,
    inference(forward_demodulation,[],[f27046,f24118]) ).

fof(f27059,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),sF13)),sF14) = X0,
    inference(forward_demodulation,[],[f27053,f5656]) ).

fof(f27063,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(sF13,double_divide(identity,X0))),sF14) = X0,
    inference(forward_demodulation,[],[f27059,f19910]) ).

fof(f27066,plain,
    ! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
    inference(forward_demodulation,[],[f27063,f19939]) ).

fof(f27959,plain,
    ! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
    inference(superposition,[],[f9843,f9422]) ).

fof(f35566,plain,
    b3 = double_divide(c3,sF9),
    inference(superposition,[],[f18682,f19319]) ).

fof(f36510,plain,
    sF9 = double_divide(b3,c3),
    inference(superposition,[],[f9134,f35566]) ).

fof(f37302,plain,
    a3 = double_divide(sF10,sF11),
    inference(superposition,[],[f18684,f19609]) ).

fof(f38263,plain,
    sF11 = double_divide(a3,sF10),
    inference(superposition,[],[f9133,f37302]) ).

fof(f41573,plain,
    double_divide(sF5,sF8) = double_divide(double_divide(identity,double_divide(c3,identity)),identity),
    inference(superposition,[],[f1901,f21484]) ).

fof(f41578,plain,
    double_divide(sF5,sF8) = double_divide(identity,double_divide(identity,double_divide(c3,identity))),
    inference(forward_demodulation,[],[f41573,f27959]) ).

fof(f41592,plain,
    double_divide(c3,identity) = double_divide(sF5,sF8),
    inference(forward_demodulation,[],[f41578,f27066]) ).

fof(f41606,plain,
    double_divide(sF5,sF8) = double_divide(identity,c3),
    inference(forward_demodulation,[],[f41592,f27959]) ).

fof(f41992,plain,
    ! [X0,X1] : double_divide(X1,X0) = double_divide(double_divide(double_divide(identity,X0),identity),X1),
    inference(superposition,[],[f21662,f1901]) ).

fof(f42473,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X1),identity) = double_divide(X0,double_divide(X0,X1)),
    inference(superposition,[],[f1901,f21662]) ).

fof(f42619,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,X1)) = double_divide(X0,double_divide(X0,X1)),
    inference(forward_demodulation,[],[f42473,f27959]) ).

fof(f42940,plain,
    ! [X0,X1] : double_divide(X1,X0) = double_divide(double_divide(identity,double_divide(identity,X0)),X1),
    inference(forward_demodulation,[],[f41992,f27959]) ).

fof(f43015,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
    inference(forward_demodulation,[],[f42619,f27066]) ).

fof(f43247,plain,
    ! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
    inference(forward_demodulation,[],[f42940,f27066]) ).

fof(f60968,plain,
    ! [X0] : double_divide(sF11,double_divide(identity,X0)) = double_divide(double_divide(X0,sF12),identity),
    inference(superposition,[],[f21662,f1075]) ).

fof(f61001,plain,
    ! [X0] : double_divide(sF11,double_divide(identity,X0)) = double_divide(identity,double_divide(X0,sF12)),
    inference(forward_demodulation,[],[f60968,f27959]) ).

fof(f64152,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),double_divide(identity,identity)) = double_divide(double_divide(X0,X1),identity),
    inference(superposition,[],[f74,f10286]) ).

fof(f64238,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),double_divide(identity,identity)) = double_divide(identity,double_divide(X0,X1)),
    inference(forward_demodulation,[],[f64152,f27959]) ).

fof(f64384,plain,
    ! [X0,X1] : double_divide(double_divide(X1,X0),sF2) = double_divide(identity,double_divide(X0,X1)),
    inference(forward_demodulation,[],[f64238,f93]) ).

fof(f64485,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(sF2,double_divide(X1,X0)),
    inference(forward_demodulation,[],[f64384,f43247]) ).

fof(f64562,plain,
    ! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = double_divide(identity,double_divide(X1,X0)),
    inference(forward_demodulation,[],[f64485,f156]) ).

fof(f86264,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),double_divide(X1,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f54,f27959]) ).

fof(f86348,plain,
    ! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X1,identity),double_divide(double_divide(X0,identity),double_divide(X1,identity)))) = X0,
    inference(forward_demodulation,[],[f86264,f43247]) ).

fof(f86887,plain,
    ! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X1,identity),double_divide(double_divide(X0,X1),identity))) = X0,
    inference(forward_demodulation,[],[f86348,f9321]) ).

fof(f87310,plain,
    ! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X1,double_divide(X0,X1)),identity)) = X0,
    inference(forward_demodulation,[],[f86887,f9321]) ).

fof(f87647,plain,
    ! [X0,X1] : double_divide(double_divide(identity,double_divide(X1,double_divide(X0,X1))),identity) = X0,
    inference(forward_demodulation,[],[f87310,f9321]) ).

fof(f87924,plain,
    ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X0,X1)))) = X0,
    inference(forward_demodulation,[],[f87647,f27959]) ).

fof(f88145,plain,
    ! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
    inference(forward_demodulation,[],[f87924,f43015]) ).

fof(f124638,plain,
    ! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X1),identity)),identity),identity),
    inference(superposition,[],[f1798,f657]) ).

fof(f124725,plain,
    ! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X1),identity)),identity)),
    inference(forward_demodulation,[],[f124638,f27959]) ).

fof(f125180,plain,
    ! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X1),identity)),
    inference(forward_demodulation,[],[f124725,f88145]) ).

fof(f125632,plain,
    ! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(X1,double_divide(X0,identity)),
    inference(forward_demodulation,[],[f125180,f88145]) ).

fof(f139782,plain,
    sF8 = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(b3,identity))),double_divide(identity,identity)),
    inference(superposition,[],[f59,f41606]) ).

fof(f139827,plain,
    sF8 = double_divide(double_divide(identity,identity),double_divide(a3,double_divide(double_divide(identity,c3),double_divide(b3,identity)))),
    inference(forward_demodulation,[],[f139782,f125632]) ).

fof(f139852,plain,
    sF8 = double_divide(double_divide(identity,identity),double_divide(a3,double_divide(double_divide(identity,b3),double_divide(identity,c3)))),
    inference(forward_demodulation,[],[f139827,f125632]) ).

fof(f139877,plain,
    sF8 = double_divide(double_divide(identity,identity),double_divide(a3,double_divide(double_divide(c3,b3),identity))),
    inference(forward_demodulation,[],[f139852,f10415]) ).

fof(f139900,plain,
    sF8 = double_divide(double_divide(identity,identity),double_divide(a3,double_divide(identity,double_divide(c3,b3)))),
    inference(forward_demodulation,[],[f139877,f27959]) ).

fof(f139923,plain,
    sF8 = double_divide(double_divide(identity,identity),double_divide(a3,double_divide(identity,double_divide(b3,c3)))),
    inference(forward_demodulation,[],[f139900,f64562]) ).

fof(f139941,plain,
    sF8 = double_divide(double_divide(identity,identity),double_divide(a3,double_divide(identity,sF9))),
    inference(forward_demodulation,[],[f139923,f36510]) ).

fof(f139958,plain,
    sF8 = double_divide(double_divide(identity,identity),double_divide(a3,sF10)),
    inference(forward_demodulation,[],[f139941,f16228]) ).

fof(f139974,plain,
    sF8 = double_divide(double_divide(identity,identity),sF11),
    inference(forward_demodulation,[],[f139958,f38263]) ).

fof(f139987,plain,
    sF8 = double_divide(sF11,double_divide(identity,identity)),
    inference(forward_demodulation,[],[f139974,f19609]) ).

fof(f139997,plain,
    sF8 = double_divide(identity,double_divide(identity,sF12)),
    inference(forward_demodulation,[],[f139987,f61001]) ).

fof(f140007,plain,
    sF8 = sF12,
    inference(forward_demodulation,[],[f139997,f43015]) ).

fof(f140015,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f140007,f24397]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP102-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n005.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 09:19:02 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.49/3.04  % (3727070)Will run a generic schedule for satisfiability detection.
% 17.49/3.04  % (3727078)dis+10_1_sil=32000:sp=arity:random_seed=383003298:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 17.49/3.04  % (3727076)% WARNING: option uhcvi not known.
% 17.49/3.04  % (3727075)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2550677464_3000 on theBenchmark for (3000ds/0Mi)
% 17.49/3.04  % (3727076)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2220050966:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 17.49/3.04  % (3727081)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3954200448:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 17.49/3.04  % (3727079)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1345422958:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 17.49/3.04  % (3727080)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3660471258:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 17.49/3.04  % (3727077)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=690739187:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 17.49/3.04  % TRYING [1]
% 17.49/3.04  % TRYING [2]
% 17.49/3.04  % TRYING [3]
% 17.49/3.04  % TRYING [4]
% 17.49/3.04  % (3727078)Instruction limit reached! 
% 17.49/3.04  % (3727078)------------------------------
% 17.49/3.04  % (3727078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/3.04  % (3727078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.04  % (3727078)CaDiCaL version: 2.1.3
% 17.49/3.04  % (3727078)Termination reason: Instruction limit
% 17.49/3.04  % (3727078)Termination phase: Saturation
% 17.49/3.04  % (3727078)Time elapsed: 0.042 s
% 17.49/3.04  % (3727078)Peak memory usage: 12 MB
% 17.49/3.04  % (3727078)Instructions burned: 104 (million)
% 17.49/3.04  % (3727089)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=651455919:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 17.49/3.04  % TRYING [5]
% 17.49/3.04  % TRYING [1]
% 17.49/3.04  % TRYING [2]
% 17.49/3.04  % TRYING [3]
% 17.49/3.04  % TRYING [4]
% 17.49/3.04  % (3727079)Instruction limit reached! 
% 17.49/3.04  % (3727079)------------------------------
% 17.49/3.04  % (3727079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/3.04  % (3727079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.04  % (3727079)CaDiCaL version: 2.1.3
% 17.49/3.04  % (3727079)Termination reason: Instruction limit
% 17.49/3.04  % (3727079)Termination phase: Saturation
% 17.49/3.04  % (3727079)Time elapsed: 0.113 s
% 17.49/3.04  % (3727079)Peak memory usage: 12 MB
% 17.49/3.04  % (3727079)Instructions burned: 116 (million)
% 17.49/3.04  % (3727080)Instruction limit reached! 
% 17.49/3.04  % (3727080)------------------------------
% 17.49/3.04  % (3727080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/3.04  % (3727080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.04  % (3727080)CaDiCaL version: 2.1.3
% 17.49/3.04  % (3727080)Termination reason: Instruction limit
% 17.49/3.04  % (3727080)Termination phase: Saturation
% 17.49/3.04  % (3727080)Time elapsed: 0.120 s
% 17.49/3.04  % (3727080)Peak memory usage: 13 MB
% 17.49/3.04  % (3727080)Instructions burned: 132 (million)
% 17.49/3.04  % (3727094)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2014349995:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 17.49/3.04  % (3727095)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3263120687:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.49/3.04  % (3727081)Instruction limit reached! 
% 17.49/3.04  % (3727081)------------------------------
% 17.49/3.04  % (3727081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/3.04  % (3727081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/3.04  % (3727081)CaDiCaL version: 2.1.3
% 17.49/3.04  % (3727081)Termination reason: Instruction limit
% 17.49/3.04  % (3727081)Termination phase: Saturation
% 17.49/3.04  % (3727081)Time elapsed: 0.154 s
% 17.49/3.04  % (3727081)Peak memory usage: 12 MB
% 17.49/3.04  % (3727081)Instructions burned: 159 (million)
% 17.49/3.04  % TRYING [5]
% 17.49/3.04  % TRYING [6]
% 17.49/3.04  % (3727098)ott-21_1_sil=16000:fs=off:random_seed=1890407417:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.49/3.04  % (3727094)Instruction limit reached! 
% 17.49/3.04  % (3727094)------------------------------
% 17.49/3.04  % (3727094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.25/7.89  % (3727094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.25/7.89  % (3727094)CaDiCaL version: 2.1.3
% 52.25/7.89  % (3727094)Termination reason: Instruction limit
% 52.25/7.89  % (3727094)Termination phase: Saturation
% 52.25/7.89  % (3727094)Time elapsed: 0.070 s
% 52.25/7.89  % (3727094)Peak memory usage: 13 MB
% 52.25/7.89  % (3727094)Instructions burned: 132 (million)
% 52.25/7.89  % (3727100)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1516118419:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 52.25/7.89  % (3727098)Instruction limit reached! 
% 52.25/7.89  % (3727098)------------------------------
% 52.25/7.89  % (3727098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.25/7.89  % (3727098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.25/7.89  % (3727098)CaDiCaL version: 2.1.3
% 52.25/7.89  % (3727098)Termination reason: Instruction limit
% 52.25/7.89  % (3727098)Termination phase: Saturation
% 52.25/7.89  % (3727098)Time elapsed: 0.160 s
% 52.25/7.89  % (3727098)Peak memory usage: 12 MB
% 52.25/7.89  % (3727098)Instructions burned: 181 (million)
% 52.25/7.89  % (3727106)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2761807621:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 52.25/7.89  % TRYING [1]
% 52.25/7.89  % TRYING [2]
% 52.25/7.89  % TRYING [3]
% 52.25/7.89  % TRYING [4]
% 52.25/7.89  % (3727100)Instruction limit reached! 
% 52.25/7.89  % (3727100)------------------------------
% 52.25/7.89  % (3727100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.25/7.89  % (3727100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.25/7.89  % (3727100)CaDiCaL version: 2.1.3
% 52.25/7.89  % (3727100)Termination reason: Instruction limit
% 52.25/7.89  % (3727100)Termination phase: Saturation
% 52.25/7.89  % (3727100)Time elapsed: 0.190 s
% 52.25/7.89  % (3727100)Peak memory usage: 15 MB
% 52.25/7.89  % (3727100)Instructions burned: 479 (million)
% 52.25/7.89  % (3727108)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=692196053:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 52.25/7.89  % TRYING [5]
% 52.25/7.89  % TRYING [6]
% 52.25/7.89  % TRYING [6]
% 52.25/7.89  % (3727095)Instruction limit reached! 
% 52.25/7.89  % (3727095)------------------------------
% 52.25/7.89  % (3727095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.25/7.89  % (3727095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.25/7.89  % (3727095)CaDiCaL version: 2.1.3
% 52.25/7.89  % (3727095)Termination reason: Instruction limit
% 52.25/7.89  % (3727095)Termination phase: Saturation
% 52.25/7.89  % (3727095)Time elapsed: 0.530 s
% 52.25/7.89  % (3727095)Peak memory usage: 16 MB
% 52.25/7.89  % (3727095)Instructions burned: 684 (million)
% 52.25/7.89  % (3727089)Instruction limit reached! 
% 52.25/7.89  % (3727089)------------------------------
% 52.25/7.89  % (3727089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.25/7.89  % (3727089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.25/7.89  % (3727089)CaDiCaL version: 2.1.3
% 52.25/7.89  % (3727089)Termination reason: Instruction limit
% 52.25/7.89  % (3727089)Termination phase: Finite model building SAT solving
% 52.25/7.89  % (3727089)Time elapsed: 0.621 s
% 52.25/7.89  % (3727089)Peak memory usage: 17 MB
% 52.25/7.89  % (3727089)Instructions burned: 714 (million)
% 52.25/7.89  % (3727114)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1528187810:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 52.25/7.89  % (3727115)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3423545223:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 52.25/7.89  % TRYING [14]
% 52.25/7.89  % (3727106)Instruction limit reached! 
% 52.25/7.89  % (3727106)------------------------------
% 52.25/7.89  % (3727106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.25/7.89  % (3727106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.25/7.89  % (3727106)CaDiCaL version: 2.1.3
% 52.25/7.89  % (3727106)Termination reason: Instruction limit
% 52.25/7.89  % (3727106)Termination phase: Finite model building SAT solving
% 52.25/7.89  % (3727106)Time elapsed: 0.575 s
% 52.25/7.89  % (3727106)Peak memory usage: 14 MB
% 52.25/7.89  % (3727106)Instructions burned: 865 (million)
% 52.25/7.89  % (3727122)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=919496926:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 52.25/7.89  % (3727115)Instruction limit reached! 
% 52.97/7.94  % (3727115)------------------------------
% 52.97/7.94  % (3727115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727115)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727115)Termination reason: Instruction limit
% 52.97/7.94  % (3727115)Termination phase: Saturation
% 52.97/7.94  % (3727115)Time elapsed: 0.477 s
% 52.97/7.94  % (3727115)Peak memory usage: 17 MB
% 52.97/7.94  % (3727115)Instructions burned: 693 (million)
% 52.97/7.94  % (3727124)fmb+10_1_sil=64000:random_seed=1589661246:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 52.97/7.94  % TRYING [1]
% 52.97/7.94  % TRYING [2]
% 52.97/7.94  % TRYING [3]
% 52.97/7.94  % TRYING [4]
% 52.97/7.94  % TRYING [5]
% 52.97/7.94  % (3727114)Instruction limit reached! 
% 52.97/7.94  % (3727114)------------------------------
% 52.97/7.94  % (3727114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727114)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727114)Termination reason: Instruction limit
% 52.97/7.94  % (3727114)Termination phase: Finite model building constraint generation
% 52.97/7.94  % (3727114)Time elapsed: 0.550 s
% 52.97/7.94  % (3727114)Peak memory usage: 79 MB
% 52.97/7.94  % (3727114)Instructions burned: 890 (million)
% 52.97/7.94  % (3727108)Instruction limit reached! 
% 52.97/7.94  % (3727108)------------------------------
% 52.97/7.94  % (3727108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727108)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727108)Termination reason: Instruction limit
% 52.97/7.94  % (3727108)Termination phase: Saturation
% 52.97/7.94  % (3727108)Time elapsed: 0.834 s
% 52.97/7.94  % (3727108)Peak memory usage: 26 MB
% 52.97/7.94  % (3727108)Instructions burned: 1180 (million)
% 52.97/7.94  % (3727126)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1694654523:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 52.97/7.94  % TRYING [20]
% 52.97/7.94  % (3727128)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3055564771:fmbsr=1.7:i=920_2986 on theBenchmark for (2986ds/920Mi)
% 52.97/7.94  % TRYING [8]
% 52.97/7.94  % TRYING [6]
% 52.97/7.94  % TRYING [7]
% 52.97/7.94  % (3727122)Instruction limit reached! 
% 52.97/7.94  % (3727122)------------------------------
% 52.97/7.94  % (3727122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727122)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727122)Termination reason: Instruction limit
% 52.97/7.94  % (3727122)Termination phase: Saturation
% 52.97/7.94  % (3727122)Time elapsed: 0.456 s
% 52.97/7.94  % (3727122)Peak memory usage: 18 MB
% 52.97/7.94  % (3727122)Instructions burned: 879 (million)
% 52.97/7.94  % (3727131)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2320136394:i=5131_2985 on theBenchmark for (2985ds/5131Mi)
% 52.97/7.94  % (3727128)Instruction limit reached! 
% 52.97/7.94  % (3727128)------------------------------
% 52.97/7.94  % (3727128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727128)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727128)Termination reason: Instruction limit
% 52.97/7.94  % (3727128)Termination phase: Finite model building SAT solving
% 52.97/7.94  % (3727128)Time elapsed: 0.515 s
% 52.97/7.94  % (3727128)Peak memory usage: 36 MB
% 52.97/7.94  % (3727128)Instructions burned: 921 (million)
% 52.97/7.94  % (3727238)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=711957698:i=1472:ins=7:fdi=8:gsp=on_2981 on theBenchmark for (2981ds/1472Mi)
% 52.97/7.94  % TRYING [7]
% 52.97/7.94  % (3727238)Instruction limit reached! 
% 52.97/7.94  % (3727238)------------------------------
% 52.97/7.94  % (3727238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727238)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727238)Termination reason: Instruction limit
% 52.97/7.94  % (3727238)Termination phase: Saturation
% 52.97/7.94  % (3727238)Time elapsed: 0.719 s
% 52.97/7.94  % (3727238)Peak memory usage: 25 MB
% 52.97/7.94  % (3727238)Instructions burned: 1473 (million)
% 52.97/7.94  % (3727287)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1940472176:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 52.97/7.94  % TRYING [77]
% 52.97/7.94  % TRYING [8]
% 52.97/7.94  % (3727131)Instruction limit reached! 
% 52.97/7.94  % (3727131)------------------------------
% 52.97/7.94  % (3727131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727131)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727131)Termination reason: Instruction limit
% 52.97/7.94  % (3727131)Termination phase: Saturation
% 52.97/7.94  % (3727131)Time elapsed: 2.810 s
% 52.97/7.94  % (3727131)Peak memory usage: 54 MB
% 52.97/7.94  % (3727131)Instructions burned: 5131 (million)
% 52.97/7.94  % (3727289)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2539958691:fmbsr=2.30978:i=2174_2956 on theBenchmark for (2956ds/2174Mi)
% 52.97/7.94  % TRYING [16]
% 52.97/7.94  % TRYING [8]
% 52.97/7.94  % (3727287)Instruction limit reached! 
% 52.97/7.94  % (3727287)------------------------------
% 52.97/7.94  % (3727287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727287)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727287)Termination reason: Instruction limit
% 52.97/7.94  % (3727287)Termination phase: Finite model building constraint generation
% 52.97/7.94  % (3727287)Time elapsed: 2.345 s
% 52.97/7.94  % (3727287)Peak memory usage: 521 MB
% 52.97/7.94  % (3727287)Instructions burned: 6324 (million)
% 52.97/7.94  % (3727126)Instruction limit reached! 
% 52.97/7.94  % (3727126)------------------------------
% 52.97/7.94  % (3727126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727126)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727126)Termination reason: Instruction limit
% 52.97/7.94  % (3727126)Termination phase: Finite model building constraint generation
% 52.97/7.94  % (3727126)Time elapsed: 3.661 s
% 52.97/7.94  % (3727126)Peak memory usage: 651 MB
% 52.97/7.94  % (3727126)Instructions burned: 9515 (million)
% 52.97/7.94  % (3727291)ott-2_1_sil=16000:newcnf=on:random_seed=3220438349:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2949 on theBenchmark for (2949ds/869Mi)
% 52.97/7.94  % (3727293)ott+10_1_sil=32000:tgt=ground:random_seed=2165796019:i=5114:av=off_2949 on theBenchmark for (2949ds/5114Mi)
% 52.97/7.94  % (3727289)Instruction limit reached! 
% 52.97/7.94  % (3727289)------------------------------
% 52.97/7.94  % (3727289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727289)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727289)Termination reason: Instruction limit
% 52.97/7.94  % (3727289)Termination phase: Finite model building constraint generation
% 52.97/7.94  % (3727289)Time elapsed: 0.783 s
% 52.97/7.94  % (3727289)Peak memory usage: 155 MB
% 52.97/7.94  % (3727289)Instructions burned: 2176 (million)
% 52.97/7.94  % (3727295)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=893494068:i=54282_2948 on theBenchmark for (2948ds/54282Mi)
% 52.97/7.94  % TRYING [1]
% 52.97/7.94  % TRYING [2]
% 52.97/7.94  % TRYING [3]
% 52.97/7.94  % TRYING [4]
% 52.97/7.94  % TRYING [5]
% 52.97/7.94  % TRYING [6]
% 52.97/7.94  % (3727291)Instruction limit reached! 
% 52.97/7.94  % (3727291)------------------------------
% 52.97/7.94  % (3727291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727291)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727291)Termination reason: Instruction limit
% 52.97/7.94  % (3727291)Termination phase: Saturation
% 52.97/7.94  % (3727291)Time elapsed: 0.498 s
% 52.97/7.94  % (3727291)Peak memory usage: 18 MB
% 52.97/7.94  % (3727291)Instructions burned: 870 (million)
% 52.97/7.94  % (3727297)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2730256910:i=3512:aac=none_2944 on theBenchmark for (2944ds/3512Mi)
% 52.97/7.94  % TRYING [7]
% 52.97/7.94  % (3727297)Instruction limit reached! 
% 52.97/7.94  % (3727297)------------------------------
% 52.97/7.94  % (3727297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727297)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727297)Termination reason: Instruction limit
% 52.97/7.94  % (3727297)Termination phase: Saturation
% 52.97/7.94  % (3727297)Time elapsed: 1.909 s
% 52.97/7.94  % (3727297)Peak memory usage: 38 MB
% 52.97/7.94  % (3727297)Instructions burned: 3513 (million)
% 52.97/7.94  % (3727293) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3727070-3727293"...
% 52.97/7.94  % (3727293)...printing done.
% 52.97/7.94  % (3727299)dis+21_1_sil=32000:sas=cadical:random_seed=259655287:i=3773:amm=off_2925 on theBenchmark for (2925ds/3773Mi)
% 52.97/7.94  % (3727293)Refutation found. Thanks to Tanya!
% 52.97/7.94  % SZS status Unsatisfiable for theBenchmark
% 52.97/7.94  % SZS output start Proof for theBenchmark
% See solution above
% 52.97/7.94  % (3727293)------------------------------
% 52.97/7.94  % (3727293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.97/7.94  % (3727293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.97/7.94  % (3727293)CaDiCaL version: 2.1.3
% 52.97/7.94  % (3727293)Termination reason: Refutation
% 52.97/7.94  % (3727293)Time elapsed: 2.401 s
% 52.97/7.94  % (3727293)Peak memory usage: 57 MB
% 52.97/7.94  % (3727293)Instructions burned: 4428 (million)
% 52.97/7.94  % (3727070)Success in time 7.503 s
% 52.97/7.94  % Vampire exiting
%------------------------------------------------------------------------------