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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG246-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:19:33 AM UTC 2026

% Result   : Unsatisfiable 127.78s 34.62s
% Output   : Refutation 241.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  110
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  716 ( 716 unt;  14 def)
%            Number of atoms       :  716 ( 715 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   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    :   25 (  25 usr;  18 con; 0-2 aty)
%            Number of variables   :  422 ( 422   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : tptp1(X0,X1) = tptp1(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).

fof(f2,axiom,
    ! [X0] : tptp1(tptp5,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).

fof(f3,axiom,
    ! [X0,X1] : tptp1(X0,tptp0(X0,X1)) = tptp1(X1,tptp0(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).

fof(f4,axiom,
    ! [X2,X0,X1] : tptp0(tptp1(X0,X1),X2) = tptp0(X0,tptp0(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).

fof(f5,axiom,
    ! [X0] : tptp0(tptp3,X0) = tptp5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).

fof(f6,plain,
    ! [X0] : tptp5 = tptp0(tptp3,X0),
    inference(reorient_equations,[],[f5]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : tptp0(tptp0(tptp0(X0,X1),X2),tptp0(tptp0(tptp0(X1,X0),X2),X2)) = tptp5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).

fof(f8,plain,
    ! [X2,X0,X1] : tptp5 = tptp0(tptp0(tptp0(X0,X1),X2),tptp0(tptp0(tptp0(X1,X0),X2),X2)),
    inference(reorient_equations,[],[f7]) ).

fof(f9,axiom,
    ! [X0,X1] : tptp4(X0,X1) = tptp1(X0,tptp0(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).

fof(f10,plain,
    ! [X0,X1] : tptp1(X0,tptp0(X0,X1)) = tptp4(X0,X1),
    inference(reorient_equations,[],[f9]) ).

fof(f11,negated_conjecture,
    ! [X0,X1] : v(X0,X1) = tptp4(tptp0(tptp0(X0,X1),X1),tptp0(tptp0(X1,X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).

fof(f12,axiom,
    ! [X0,X1] : tptp0(tptp1(X0,X1),tptp3) = v(tptp0(X0,tptp3),tptp0(X1,tptp3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).

fof(f13,axiom,
    ! [X0] : m(X0) = tptp0(X0,tptp3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).

fof(f14,plain,
    ! [X0] : tptp0(X0,tptp3) = m(X0),
    inference(reorient_equations,[],[f13]) ).

fof(f15,negated_conjecture,
    ! [X0] : n(X0) = m(tptp2(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).

fof(f16,axiom,
    ! [X0] : tptp2(tptp2(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).

fof(f17,axiom,
    ! [X0,X1] : n(tptp0(X0,X1)) = n(tptp0(tptp2(X1),tptp2(X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).

fof(f18,negated_conjecture,
    v(tptp1(n(a),n(tptp0(a,b))),n(b)) != n(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f19,plain,
    n(b) != v(tptp1(n(a),n(tptp0(a,b))),n(b)),
    inference(reorient_equations,[],[f18]) ).

fof(f20,plain,
    ! [X0] : n(X0) = tptp0(tptp2(X0),tptp3),
    inference(definition_unfolding,[],[f15,f14]) ).

fof(f21,plain,
    ! [X0,X1] : v(X0,X1) = tptp1(tptp0(tptp0(X0,X1),X1),tptp0(tptp0(tptp0(X0,X1),X1),tptp0(tptp0(X1,X0),X0))),
    inference(definition_unfolding,[],[f11,f10]) ).

fof(f22,plain,
    ! [X0,X1] : tptp0(tptp1(X0,X1),tptp3) = tptp1(tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp0(X1,tptp3)),tptp0(tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp0(X1,tptp3)),tptp0(tptp0(tptp0(X1,tptp3),tptp0(X0,tptp3)),tptp0(X0,tptp3)))),
    inference(definition_unfolding,[],[f12,f21]) ).

fof(f23,plain,
    ! [X0,X1] : tptp0(tptp2(tptp0(X0,X1)),tptp3) = tptp0(tptp2(tptp0(tptp2(X1),tptp2(X0))),tptp3),
    inference(definition_unfolding,[],[f17,f20,f20]) ).

fof(f24,plain,
    tptp0(tptp2(b),tptp3) != tptp1(tptp0(tptp0(tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3)),tptp0(tptp2(b),tptp3)),tptp0(tptp2(b),tptp3)),tptp0(tptp0(tptp0(tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3)),tptp0(tptp2(b),tptp3)),tptp0(tptp2(b),tptp3)),tptp0(tptp0(tptp0(tptp2(b),tptp3),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))),tptp1(tptp0(tptp2(a),tptp3),tptp0(tptp2(tptp0(a,b)),tptp3))))),
    inference(definition_unfolding,[],[f19,f20,f21,f20,f20,f20]) ).

fof(f25,definition,
    sF0 = tptp2(b),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f26,plain,
    tptp2(b) = sF0,
    inference(reorient_equations,[],[f25]) ).

fof(f27,definition,
    sF1 = tptp0(sF0,tptp3),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f28,plain,
    tptp0(sF0,tptp3) = sF1,
    inference(reorient_equations,[],[f27]) ).

fof(f29,definition,
    sF2 = tptp2(a),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f30,plain,
    tptp2(a) = sF2,
    inference(reorient_equations,[],[f29]) ).

fof(f31,definition,
    sF3 = tptp0(sF2,tptp3),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f32,plain,
    tptp0(sF2,tptp3) = sF3,
    inference(reorient_equations,[],[f31]) ).

fof(f33,definition,
    sF4 = tptp0(a,b),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f34,plain,
    tptp0(a,b) = sF4,
    inference(reorient_equations,[],[f33]) ).

fof(f35,definition,
    sF5 = tptp2(sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f36,plain,
    tptp2(sF4) = sF5,
    inference(reorient_equations,[],[f35]) ).

fof(f37,definition,
    sF6 = tptp0(sF5,tptp3),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f38,plain,
    tptp0(sF5,tptp3) = sF6,
    inference(reorient_equations,[],[f37]) ).

fof(f39,definition,
    sF7 = tptp1(sF3,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f40,plain,
    tptp1(sF3,sF6) = sF7,
    inference(reorient_equations,[],[f39]) ).

fof(f41,definition,
    sF8 = tptp0(sF7,sF1),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f42,plain,
    tptp0(sF7,sF1) = sF8,
    inference(reorient_equations,[],[f41]) ).

fof(f43,definition,
    sF9 = tptp0(sF8,sF1),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f44,plain,
    tptp0(sF8,sF1) = sF9,
    inference(reorient_equations,[],[f43]) ).

fof(f45,definition,
    sF10 = tptp0(sF1,sF7),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f46,plain,
    tptp0(sF1,sF7) = sF10,
    inference(reorient_equations,[],[f45]) ).

fof(f47,definition,
    sF11 = tptp0(sF10,sF7),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f48,plain,
    tptp0(sF10,sF7) = sF11,
    inference(reorient_equations,[],[f47]) ).

fof(f49,definition,
    sF12 = tptp0(sF9,sF11),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f50,plain,
    tptp0(sF9,sF11) = sF12,
    inference(reorient_equations,[],[f49]) ).

fof(f51,definition,
    sF13 = tptp1(sF9,sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f52,plain,
    tptp1(sF9,sF12) = sF13,
    inference(reorient_equations,[],[f51]) ).

fof(f53,plain,
    sF1 != sF13,
    inference(definition_folding,[],[f24,f52,f50,f48,f40,f38,f36,f34,f32,f30,f46,f40,f38,f36,f34,f32,f30,f28,f26,f44,f28,f26,f42,f28,f26,f40,f38,f36,f34,f32,f30,f44,f28,f26,f42,f28,f26,f40,f38,f36,f34,f32,f30,f28,f26]) ).

fof(f54,plain,
    ! [X0,X1] : tptp1(tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp0(X1,tptp3)),tptp0(tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp0(X1,tptp3)),tptp0(tptp0(tptp0(X1,tptp3),tptp0(X0,tptp3)),tptp0(X0,tptp3)))) = tptp0(X0,tptp0(X1,tptp3)),
    inference(backward_demodulation,[],[f22,f4]) ).

fof(f61,plain,
    ! [X0] : tptp0(sF9,tptp0(sF12,X0)) = tptp0(sF13,X0),
    inference(superposition,[],[f4,f52]) ).

fof(f62,plain,
    ! [X0] : tptp0(sF3,tptp0(sF6,X0)) = tptp0(sF7,X0),
    inference(superposition,[],[f4,f40]) ).

fof(f71,plain,
    ! [X2,X0,X1] : tptp1(X2,tptp0(X2,tptp1(X0,X1))) = tptp1(tptp1(X0,X1),tptp0(X0,tptp0(X1,X2))),
    inference(superposition,[],[f3,f4]) ).

fof(f72,plain,
    ! [X0,X1] : tptp1(tptp3,tptp0(tptp3,tptp2(tptp0(tptp2(X1),tptp2(X0))))) = tptp1(tptp2(tptp0(tptp2(X1),tptp2(X0))),tptp0(tptp2(tptp0(X0,X1)),tptp3)),
    inference(superposition,[],[f3,f23]) ).

fof(f73,plain,
    tptp1(tptp3,tptp0(tptp3,sF0)) = tptp1(sF0,sF1),
    inference(superposition,[],[f3,f28]) ).

fof(f74,plain,
    tptp1(tptp3,tptp0(tptp3,sF2)) = tptp1(sF2,sF3),
    inference(superposition,[],[f3,f32]) ).

fof(f75,plain,
    tptp1(tptp3,tptp0(tptp3,sF5)) = tptp1(sF5,sF6),
    inference(superposition,[],[f3,f38]) ).

fof(f76,plain,
    tptp1(sF1,tptp0(sF1,sF7)) = tptp1(sF7,sF8),
    inference(superposition,[],[f3,f42]) ).

fof(f77,plain,
    tptp1(sF1,tptp0(sF1,sF8)) = tptp1(sF8,sF9),
    inference(superposition,[],[f3,f44]) ).

fof(f78,plain,
    tptp1(sF7,tptp0(sF7,sF10)) = tptp1(sF10,sF11),
    inference(superposition,[],[f3,f48]) ).

fof(f80,plain,
    ! [X2,X0,X1] : tptp0(X1,tptp0(tptp0(X1,X0),X2)) = tptp0(tptp1(X0,tptp0(X0,X1)),X2),
    inference(superposition,[],[f4,f3]) ).

fof(f81,plain,
    ! [X2,X0,X1] : tptp0(X1,tptp0(tptp0(X1,X0),X2)) = tptp0(X0,tptp0(tptp0(X0,X1),X2)),
    inference(forward_demodulation,[],[f80,f4]) ).

fof(f83,plain,
    tptp1(sF7,sF8) = tptp1(sF1,sF10),
    inference(forward_demodulation,[],[f76,f46]) ).

fof(f84,plain,
    tptp1(sF5,sF6) = tptp1(tptp3,tptp5),
    inference(forward_demodulation,[],[f75,f6]) ).

fof(f85,plain,
    tptp1(sF2,sF3) = tptp1(tptp3,tptp5),
    inference(forward_demodulation,[],[f74,f6]) ).

fof(f86,plain,
    tptp1(sF0,sF1) = tptp1(tptp3,tptp5),
    inference(forward_demodulation,[],[f73,f6]) ).

fof(f87,plain,
    ! [X0,X1] : tptp1(tptp2(tptp0(tptp2(X1),tptp2(X0))),tptp0(tptp2(tptp0(X0,X1)),tptp3)) = tptp1(tptp3,tptp5),
    inference(forward_demodulation,[],[f72,f6]) ).

fof(f95,plain,
    ! [X0] : tptp1(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp0(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(X0,tptp3)))) = tptp0(X0,sF1),
    inference(superposition,[],[f54,f28]) ).

fof(f99,plain,
    ! [X2,X0,X1] : tptp0(tptp2(tptp0(tptp2(X1),tptp2(X0))),tptp0(X2,tptp3)) = tptp1(tptp0(tptp0(tptp0(tptp2(tptp0(X0,X1)),tptp3),tptp0(X2,tptp3)),tptp0(X2,tptp3)),tptp0(tptp0(tptp0(tptp0(tptp2(tptp0(X0,X1)),tptp3),tptp0(X2,tptp3)),tptp0(X2,tptp3)),tptp0(tptp0(tptp0(X2,tptp3),tptp0(tptp2(tptp0(X0,X1)),tptp3)),tptp0(tptp2(tptp0(X0,X1)),tptp3)))),
    inference(superposition,[],[f54,f23]) ).

fof(f100,plain,
    ! [X0] : tptp0(sF0,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1))),
    inference(superposition,[],[f54,f28]) ).

fof(f101,plain,
    ! [X0] : tptp0(sF2,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(sF3,tptp0(X0,tptp3)),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(sF3,tptp0(X0,tptp3)),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(X0,tptp3),sF3),sF3))),
    inference(superposition,[],[f54,f32]) ).

fof(f108,plain,
    ! [X2,X0,X1] : tptp0(tptp2(tptp0(tptp2(X1),tptp2(X0))),tptp0(X2,tptp3)) = tptp0(tptp2(tptp0(X0,X1)),tptp0(X2,tptp3)),
    inference(forward_demodulation,[],[f99,f54]) ).

fof(f113,plain,
    ! [X0,X1] : tptp0(tptp2(tptp0(a,X0)),tptp0(X1,tptp3)) = tptp0(tptp2(tptp0(tptp2(X0),sF2)),tptp0(X1,tptp3)),
    inference(superposition,[],[f108,f30]) ).

fof(f126,plain,
    ! [X2,X0,X1] : tptp0(tptp2(tptp0(tptp2(X0),X1)),tptp0(X2,tptp3)) = tptp0(tptp2(tptp0(tptp2(X1),X0)),tptp0(X2,tptp3)),
    inference(superposition,[],[f108,f16]) ).

fof(f128,plain,
    ! [X0,X1] : tptp0(tptp2(tptp0(tptp2(X0),X1)),tptp3) = tptp0(tptp2(tptp0(tptp2(X1),X0)),tptp3),
    inference(superposition,[],[f23,f16]) ).

fof(f129,plain,
    ! [X0,X1] : tptp0(tptp2(tptp0(X1,tptp2(X0))),tptp3) = tptp0(tptp2(tptp0(X0,tptp2(X1))),tptp3),
    inference(superposition,[],[f23,f16]) ).

fof(f132,plain,
    ! [X0,X1] : tptp0(X0,X1) = tptp0(tptp5,tptp0(X0,X1)),
    inference(superposition,[],[f4,f2]) ).

fof(f134,plain,
    ! [X0] : tptp1(X0,tptp0(X0,tptp5)) = tptp0(tptp5,X0),
    inference(superposition,[],[f3,f2]) ).

fof(f139,plain,
    ! [X2,X0,X1] : tptp0(tptp1(X0,X1),X2) = tptp0(X1,tptp0(X0,X2)),
    inference(superposition,[],[f4,f1]) ).

fof(f140,plain,
    ! [X0] : tptp1(X0,tptp5) = X0,
    inference(superposition,[],[f2,f1]) ).

fof(f141,plain,
    ! [X0,X1] : tptp3 = tptp1(tptp2(tptp0(tptp2(X1),tptp2(X0))),tptp0(tptp2(tptp0(X0,X1)),tptp3)),
    inference(backward_demodulation,[],[f87,f140]) ).

fof(f142,plain,
    tptp3 = tptp1(sF0,sF1),
    inference(backward_demodulation,[],[f86,f140]) ).

fof(f143,plain,
    tptp3 = tptp1(sF2,sF3),
    inference(backward_demodulation,[],[f85,f140]) ).

fof(f144,plain,
    tptp3 = tptp1(sF5,sF6),
    inference(backward_demodulation,[],[f84,f140]) ).

fof(f148,plain,
    ! [X0] : tptp0(tptp3,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(tptp5,tptp0(X0,tptp3)),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(tptp5,tptp0(X0,tptp3)),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5))),
    inference(superposition,[],[f54,f6]) ).

fof(f149,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp1(tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),tptp0(tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),tptp0(tptp0(tptp5,tptp0(X0,tptp3)),tptp0(X0,tptp3)))),
    inference(superposition,[],[f54,f6]) ).

fof(f150,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp1(tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),tptp0(tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3)))),
    inference(forward_demodulation,[],[f149,f132]) ).

fof(f151,plain,
    ! [X0] : tptp0(tptp3,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5))),
    inference(forward_demodulation,[],[f148,f132]) ).

fof(f154,plain,
    ! [X0] : tptp5 = tptp1(tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5))),
    inference(forward_demodulation,[],[f151,f6]) ).

fof(f187,plain,
    ! [X0] : tptp5 = tptp0(tptp0(tptp0(sF7,sF1),X0),tptp0(tptp0(sF10,X0),X0)),
    inference(superposition,[],[f8,f46]) ).

fof(f190,plain,
    ! [X0] : tptp5 = tptp0(tptp0(tptp0(sF1,sF7),X0),tptp0(tptp0(sF8,X0),X0)),
    inference(superposition,[],[f8,f42]) ).

fof(f194,plain,
    ! [X2,X0,X1] : tptp5 = tptp0(tptp0(tptp0(X0,tptp0(X1,X2)),tptp0(tptp0(tptp0(X2,X1),X0),X0)),tptp0(tptp5,tptp0(tptp0(tptp0(X2,X1),X0),X0))),
    inference(superposition,[],[f8,f8]) ).

fof(f199,plain,
    ! [X2,X0,X1] : tptp5 = tptp0(tptp0(tptp0(X0,tptp0(X1,X2)),tptp0(tptp0(tptp0(X2,X1),X0),X0)),tptp0(tptp0(tptp0(X2,X1),X0),X0)),
    inference(forward_demodulation,[],[f194,f132]) ).

fof(f200,plain,
    ! [X0] : tptp5 = tptp0(tptp0(sF10,X0),tptp0(tptp0(sF8,X0),X0)),
    inference(forward_demodulation,[],[f190,f46]) ).

fof(f203,plain,
    ! [X0] : tptp5 = tptp0(tptp0(sF8,X0),tptp0(tptp0(sF10,X0),X0)),
    inference(forward_demodulation,[],[f187,f42]) ).

fof(f230,plain,
    tptp5 = tptp0(sF11,tptp0(tptp0(sF8,sF7),sF7)),
    inference(superposition,[],[f200,f48]) ).

fof(f242,plain,
    ! [X0] : tptp0(tptp3,X0) = tptp0(sF0,tptp0(sF1,X0)),
    inference(superposition,[],[f4,f142]) ).

fof(f243,plain,
    ! [X0] : tptp5 = tptp0(sF0,tptp0(sF1,X0)),
    inference(forward_demodulation,[],[f242,f6]) ).

fof(f267,plain,
    ! [X0,X1] : tptp0(X0,X1) = tptp0(X0,tptp0(tptp5,X1)),
    inference(superposition,[],[f4,f140]) ).

fof(f269,plain,
    ! [X2,X0,X1] : tptp0(tptp1(X0,tptp0(X0,X1)),X2) = tptp0(tptp0(X1,X0),tptp0(X1,X2)),
    inference(superposition,[],[f139,f3]) ).

fof(f276,plain,
    ! [X0] : tptp0(sF7,X0) = tptp0(sF6,tptp0(sF3,X0)),
    inference(superposition,[],[f139,f40]) ).

fof(f277,plain,
    ! [X0] : tptp0(sF13,X0) = tptp0(sF12,tptp0(sF9,X0)),
    inference(superposition,[],[f139,f52]) ).

fof(f279,plain,
    ! [X2,X0,X1] : tptp0(X0,tptp0(X1,X2)) = tptp0(X1,tptp0(X0,X2)),
    inference(superposition,[],[f4,f139]) ).

fof(f289,plain,
    ! [X0] : tptp5 = tptp1(tptp0(X0,tptp0(tptp0(X0,tptp3),tptp3)),tptp0(tptp0(X0,tptp0(tptp0(X0,tptp3),tptp3)),tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5))),
    inference(backward_demodulation,[],[f154,f279]) ).

fof(f290,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp1(tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),tptp0(tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),tptp0(X0,tptp0(tptp0(X0,tptp3),tptp3)))),
    inference(backward_demodulation,[],[f150,f279]) ).

fof(f293,plain,
    ! [X0,X1] : tptp0(X0,tptp0(X1,tptp3)) = tptp1(tptp0(X1,tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp3)),tptp0(tptp0(X1,tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp3)),tptp0(tptp0(tptp0(X1,tptp3),tptp0(X0,tptp3)),tptp0(X0,tptp3)))),
    inference(backward_demodulation,[],[f54,f279]) ).

fof(f304,plain,
    ! [X0] : tptp0(sF2,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(sF3,tptp0(X0,tptp3)),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(X0,tptp3),sF3),tptp0(tptp0(tptp0(sF3,tptp0(X0,tptp3)),tptp0(X0,tptp3)),sF3))),
    inference(backward_demodulation,[],[f101,f279]) ).

fof(f305,plain,
    ! [X0] : tptp0(sF0,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(X0,tptp3)),tptp0(tptp0(tptp0(X0,tptp3),sF1),tptp0(tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(X0,tptp3)),sF1))),
    inference(backward_demodulation,[],[f100,f279]) ).

fof(f307,plain,
    ! [X2,X0,X1] : tptp5 = tptp0(tptp0(tptp0(X2,X1),X0),tptp0(tptp0(tptp0(X0,tptp0(X1,X2)),tptp0(tptp0(tptp0(X2,X1),X0),X0)),X0)),
    inference(backward_demodulation,[],[f199,f279]) ).

fof(f309,plain,
    ! [X0] : tptp0(X0,sF1) = tptp1(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp0(X0,tptp3)))),
    inference(backward_demodulation,[],[f95,f279]) ).

fof(f331,plain,
    ! [X2,X0,X1] : tptp0(X0,tptp0(tptp0(X0,X1),X2)) = tptp0(tptp0(X1,X0),tptp0(X1,X2)),
    inference(forward_demodulation,[],[f269,f4]) ).

fof(f333,plain,
    ! [X0] : tptp0(tptp3,X0) = tptp0(sF6,tptp0(sF5,X0)),
    inference(superposition,[],[f139,f144]) ).

fof(f334,plain,
    ! [X0] : tptp0(tptp3,X0) = tptp0(sF5,tptp0(sF6,X0)),
    inference(superposition,[],[f4,f144]) ).

fof(f335,plain,
    ! [X0] : tptp5 = tptp0(sF5,tptp0(sF6,X0)),
    inference(forward_demodulation,[],[f334,f6]) ).

fof(f336,plain,
    ! [X0] : tptp5 = tptp0(sF6,tptp0(sF5,X0)),
    inference(forward_demodulation,[],[f333,f6]) ).

fof(f337,plain,
    ! [X0] : tptp0(tptp3,X0) = tptp0(sF3,tptp0(sF2,X0)),
    inference(superposition,[],[f139,f143]) ).

fof(f340,plain,
    ! [X0] : tptp5 = tptp0(sF3,tptp0(sF2,X0)),
    inference(forward_demodulation,[],[f337,f6]) ).

fof(f350,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp1(tptp0(tptp3,tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp3)),tptp0(tptp0(tptp3,tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp3)),tptp0(tptp0(tptp5,tptp0(X0,tptp3)),tptp0(X0,tptp3)))),
    inference(superposition,[],[f293,f6]) ).

fof(f352,plain,
    ! [X0] : tptp0(X0,sF1) = tptp1(tptp0(sF0,tptp0(tptp0(tptp0(X0,tptp3),sF1),tptp3)),tptp0(tptp0(sF0,tptp0(tptp0(tptp0(X0,tptp3),sF1),tptp3)),tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(X0,tptp3)))),
    inference(superposition,[],[f293,f28]) ).

fof(f353,plain,
    ! [X0] : tptp0(X0,sF3) = tptp1(tptp0(sF2,tptp0(tptp0(tptp0(X0,tptp3),sF3),tptp3)),tptp0(tptp0(sF2,tptp0(tptp0(tptp0(X0,tptp3),sF3),tptp3)),tptp0(tptp0(sF3,tptp0(X0,tptp3)),tptp0(X0,tptp3)))),
    inference(superposition,[],[f293,f32]) ).

fof(f354,plain,
    ! [X0] : tptp0(X0,sF6) = tptp1(tptp0(sF5,tptp0(tptp0(tptp0(X0,tptp3),sF6),tptp3)),tptp0(tptp0(sF5,tptp0(tptp0(tptp0(X0,tptp3),sF6),tptp3)),tptp0(tptp0(sF6,tptp0(X0,tptp3)),tptp0(X0,tptp3)))),
    inference(superposition,[],[f293,f38]) ).

fof(f377,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp1(tptp0(tptp3,tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp3)),tptp0(tptp0(tptp3,tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp3)),tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3)))),
    inference(forward_demodulation,[],[f350,f132]) ).

fof(f388,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp1(tptp5,tptp0(tptp5,tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3)))),
    inference(forward_demodulation,[],[f377,f6]) ).

fof(f391,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp0(tptp5,tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3))),
    inference(forward_demodulation,[],[f388,f2]) ).

fof(f393,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3)),
    inference(forward_demodulation,[],[f391,f132]) ).

fof(f518,plain,
    ! [X0] : tptp0(sF8,tptp0(sF7,X0)) = tptp0(tptp1(sF1,sF10),X0),
    inference(superposition,[],[f139,f83]) ).

fof(f519,plain,
    ! [X0] : tptp0(tptp1(sF1,sF10),X0) = tptp0(sF7,tptp0(sF8,X0)),
    inference(superposition,[],[f4,f83]) ).

fof(f520,plain,
    ! [X0] : tptp0(sF7,tptp0(sF8,X0)) = tptp0(sF1,tptp0(sF10,X0)),
    inference(forward_demodulation,[],[f519,f4]) ).

fof(f521,plain,
    ! [X0] : tptp0(sF8,tptp0(sF7,X0)) = tptp0(sF1,tptp0(sF10,X0)),
    inference(forward_demodulation,[],[f518,f4]) ).

fof(f550,plain,
    ! [X0] : tptp0(X0,tptp0(X0,tptp3)) = tptp1(tptp0(X0,tptp0(tptp0(X0,tptp5),tptp3)),tptp0(tptp0(X0,tptp0(tptp0(X0,tptp5),tptp3)),tptp0(tptp0(X0,tptp5),tptp0(X0,tptp3)))),
    inference(superposition,[],[f293,f393]) ).

fof(f552,plain,
    ! [X0] : tptp5 = tptp0(tptp0(X0,tptp5),tptp0(tptp0(tptp0(tptp3,X0),tptp0(X0,tptp3)),tptp0(X0,tptp3))),
    inference(superposition,[],[f8,f393]) ).

fof(f556,plain,
    ! [X0] : tptp5 = tptp0(tptp0(X0,tptp5),tptp0(tptp0(tptp5,tptp0(X0,tptp3)),tptp0(X0,tptp3))),
    inference(forward_demodulation,[],[f552,f6]) ).

fof(f564,plain,
    ! [X0] : tptp5 = tptp0(tptp0(X0,tptp5),tptp0(tptp0(X0,tptp3),tptp0(X0,tptp3))),
    inference(forward_demodulation,[],[f556,f132]) ).

fof(f566,plain,
    ! [X0] : tptp5 = tptp0(tptp0(X0,tptp5),tptp0(X0,tptp5)),
    inference(forward_demodulation,[],[f564,f393]) ).

fof(f650,plain,
    ! [X0,X1] : tptp0(tptp0(X0,tptp5),tptp0(X0,X1)) = tptp0(tptp0(tptp5,X0),X1),
    inference(superposition,[],[f139,f134]) ).

fof(f651,plain,
    ! [X0,X1] : tptp0(tptp0(tptp5,X0),X1) = tptp0(X0,tptp0(tptp0(X0,tptp5),X1)),
    inference(superposition,[],[f4,f134]) ).

fof(f652,plain,
    ! [X0] : tptp0(X0,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(tptp5,X0),tptp3),tptp0(tptp0(tptp0(tptp5,X0),tptp3),tptp0(tptp0(X0,tptp5),tptp0(X0,tptp3)))),
    inference(backward_demodulation,[],[f550,f651]) ).

fof(f653,plain,
    ! [X0] : tptp5 = tptp0(tptp0(tptp5,X0),tptp5),
    inference(backward_demodulation,[],[f566,f650]) ).

fof(f656,plain,
    ! [X0] : tptp0(X0,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(tptp5,X0),tptp3),tptp0(tptp0(tptp0(tptp5,X0),tptp3),tptp0(tptp0(tptp5,X0),tptp3))),
    inference(forward_demodulation,[],[f652,f650]) ).

fof(f658,plain,
    ! [X0] : tptp0(X0,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(tptp5,X0),tptp3),tptp0(tptp0(tptp5,X0),tptp5)),
    inference(forward_demodulation,[],[f656,f393]) ).

fof(f660,plain,
    ! [X0] : tptp0(X0,tptp0(X0,tptp3)) = tptp1(tptp0(tptp0(tptp5,X0),tptp3),tptp5),
    inference(forward_demodulation,[],[f658,f653]) ).

fof(f662,plain,
    ! [X0] : tptp0(X0,tptp0(X0,tptp3)) = tptp0(tptp0(tptp5,X0),tptp3),
    inference(forward_demodulation,[],[f660,f140]) ).

fof(f799,plain,
    ! [X0] : tptp0(sF1,tptp0(tptp0(sF1,sF8),X0)) = tptp0(sF8,tptp0(sF9,X0)),
    inference(superposition,[],[f81,f44]) ).

fof(f800,plain,
    ! [X0] : tptp0(sF7,tptp0(tptp0(sF7,sF10),X0)) = tptp0(sF10,tptp0(sF11,X0)),
    inference(superposition,[],[f81,f48]) ).

fof(f852,plain,
    ! [X0,X1] : tptp5 = tptp0(X0,tptp0(tptp0(X0,tptp3),X1)),
    inference(superposition,[],[f6,f81]) ).

fof(f865,plain,
    ! [X0] : tptp5 = tptp1(tptp5,tptp0(tptp5,tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5))),
    inference(backward_demodulation,[],[f289,f852]) ).

fof(f866,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp1(tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),tptp0(tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),tptp5)),
    inference(backward_demodulation,[],[f290,f852]) ).

fof(f921,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp0(tptp5,tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5)),
    inference(forward_demodulation,[],[f866,f134]) ).

fof(f922,plain,
    ! [X0] : tptp5 = tptp0(tptp5,tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5)),
    inference(forward_demodulation,[],[f865,f2]) ).

fof(f932,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),
    inference(forward_demodulation,[],[f921,f132]) ).

fof(f933,plain,
    ! [X0] : tptp5 = tptp0(tptp0(tptp0(X0,tptp3),tptp5),tptp5),
    inference(forward_demodulation,[],[f922,f132]) ).

fof(f935,plain,
    ! [X0] : tptp5 = tptp0(X0,tptp5),
    inference(backward_demodulation,[],[f932,f933]) ).

fof(f937,plain,
    ! [X0] : tptp0(tptp5,X0) = tptp1(X0,tptp5),
    inference(backward_demodulation,[],[f134,f935]) ).

fof(f949,plain,
    ! [X0,X1] : tptp0(X0,tptp0(tptp5,X1)) = tptp0(tptp0(tptp5,X0),X1),
    inference(backward_demodulation,[],[f651,f935]) ).

fof(f964,plain,
    ! [X0,X1] : tptp0(X0,X1) = tptp0(tptp0(tptp5,X0),X1),
    inference(forward_demodulation,[],[f949,f267]) ).

fof(f973,plain,
    ! [X0] : tptp0(tptp5,X0) = X0,
    inference(forward_demodulation,[],[f937,f140]) ).

fof(f990,plain,
    ! [X0] : tptp0(X0,tptp3) = tptp0(X0,tptp0(X0,tptp3)),
    inference(backward_demodulation,[],[f662,f964]) ).

fof(f1051,plain,
    ! [X0,X1] : tptp5 = tptp0(tptp0(tptp0(X0,tptp5),X1),tptp0(tptp0(X0,X1),X1)),
    inference(superposition,[],[f8,f973]) ).

fof(f1063,plain,
    ! [X0] : tptp0(tptp2(tptp0(X0,tptp2(tptp5))),tptp3) = tptp0(tptp2(tptp2(X0)),tptp3),
    inference(superposition,[],[f129,f973]) ).

fof(f1064,plain,
    ! [X0] : tptp0(X0,tptp3) = tptp0(tptp2(tptp0(X0,tptp2(tptp5))),tptp3),
    inference(forward_demodulation,[],[f1063,f16]) ).

fof(f1073,plain,
    ! [X0,X1] : tptp5 = tptp0(tptp0(tptp5,X1),tptp0(tptp0(X0,X1),X1)),
    inference(forward_demodulation,[],[f1051,f935]) ).

fof(f1084,plain,
    ! [X0,X1] : tptp5 = tptp0(X1,tptp0(tptp0(X0,X1),X1)),
    inference(forward_demodulation,[],[f1073,f973]) ).

fof(f1188,plain,
    ! [X0] : tptp5 = tptp0(X0,tptp0(tptp5,X0)),
    inference(superposition,[],[f1084,f6]) ).

fof(f1205,plain,
    tptp5 = tptp0(sF1,tptp0(sF8,sF1)),
    inference(superposition,[],[f1084,f42]) ).

fof(f1246,plain,
    tptp5 = tptp0(sF1,sF9),
    inference(forward_demodulation,[],[f1205,f44]) ).

fof(f1251,plain,
    ! [X0] : tptp5 = tptp0(X0,X0),
    inference(forward_demodulation,[],[f1188,f973]) ).

fof(f1295,plain,
    tptp0(sF7,tptp5) = tptp0(sF1,tptp0(sF10,sF8)),
    inference(superposition,[],[f520,f1251]) ).

fof(f1296,plain,
    tptp5 = tptp0(tptp5,tptp0(tptp0(sF10,sF8),sF8)),
    inference(superposition,[],[f203,f1251]) ).

fof(f1297,plain,
    tptp5 = tptp0(tptp0(sF8,sF10),tptp0(tptp5,sF10)),
    inference(superposition,[],[f203,f1251]) ).

fof(f1300,plain,
    tptp5 = tptp0(tptp0(sF8,sF10),sF10),
    inference(forward_demodulation,[],[f1297,f973]) ).

fof(f1301,plain,
    tptp5 = tptp0(tptp0(sF10,sF8),sF8),
    inference(forward_demodulation,[],[f1296,f973]) ).

fof(f1302,plain,
    tptp5 = tptp0(sF1,tptp0(sF10,sF8)),
    inference(forward_demodulation,[],[f1295,f935]) ).

fof(f1376,plain,
    sF1 = tptp0(sF0,sF1),
    inference(superposition,[],[f990,f28]) ).

fof(f1378,plain,
    sF6 = tptp0(sF5,sF6),
    inference(superposition,[],[f990,f38]) ).

fof(f1389,plain,
    ! [X0,X1] : tptp0(tptp1(X0,X1),tptp3) = tptp0(X0,tptp0(X1,tptp0(tptp1(X0,X1),tptp3))),
    inference(superposition,[],[f4,f990]) ).

fof(f1399,plain,
    tptp0(sF7,tptp0(sF6,tptp3)) = tptp0(sF3,tptp0(sF6,tptp3)),
    inference(superposition,[],[f62,f990]) ).

fof(f1407,plain,
    tptp0(sF7,tptp0(sF6,tptp3)) = tptp0(sF7,tptp3),
    inference(forward_demodulation,[],[f1399,f62]) ).

fof(f1413,plain,
    ! [X0,X1] : tptp0(X0,tptp0(X1,tptp3)) = tptp0(X0,tptp0(X1,tptp0(X0,tptp0(X1,tptp3)))),
    inference(forward_demodulation,[],[f1389,f4]) ).

fof(f1458,plain,
    tptp0(sF8,tptp5) = tptp0(sF1,tptp0(sF10,sF7)),
    inference(superposition,[],[f521,f1251]) ).

fof(f1465,plain,
    tptp0(sF8,tptp5) = tptp0(sF1,sF11),
    inference(forward_demodulation,[],[f1458,f48]) ).

fof(f1472,plain,
    tptp5 = tptp0(sF1,sF11),
    inference(forward_demodulation,[],[f1465,f935]) ).

fof(f1563,plain,
    ! [X0,X1] : tptp0(tptp2(tptp0(tptp2(X0),X1)),sF1) = tptp0(tptp2(tptp0(tptp2(X1),X0)),sF1),
    inference(superposition,[],[f126,f28]) ).

fof(f1638,plain,
    tptp1(sF8,tptp0(sF8,tptp0(sF10,sF8))) = tptp1(tptp0(sF10,sF8),tptp5),
    inference(superposition,[],[f3,f1301]) ).

fof(f1650,plain,
    tptp0(sF10,sF8) = tptp1(sF8,tptp0(sF8,tptp0(sF10,sF8))),
    inference(forward_demodulation,[],[f1638,f140]) ).

fof(f1661,plain,
    tptp1(sF10,tptp0(sF10,tptp0(sF8,sF10))) = tptp1(tptp0(sF8,sF10),tptp5),
    inference(superposition,[],[f3,f1300]) ).

fof(f1666,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF10),tptp2(tptp0(sF8,sF10)))),tptp0(tptp2(tptp5),tptp3)),
    inference(superposition,[],[f141,f1300]) ).

fof(f1673,plain,
    tptp0(sF8,sF10) = tptp1(sF10,tptp0(sF10,tptp0(sF8,sF10))),
    inference(forward_demodulation,[],[f1661,f140]) ).

fof(f1782,plain,
    ! [X0] : tptp0(tptp2(tptp0(a,b)),tptp0(X0,tptp3)) = tptp0(tptp2(tptp0(sF0,sF2)),tptp0(X0,tptp3)),
    inference(superposition,[],[f113,f26]) ).

fof(f1828,plain,
    ! [X0] : tptp0(tptp2(tptp0(sF0,sF2)),tptp0(X0,tptp3)) = tptp0(tptp2(sF4),tptp0(X0,tptp3)),
    inference(forward_demodulation,[],[f1782,f34]) ).

fof(f1830,plain,
    ! [X0] : tptp0(sF5,tptp0(X0,tptp3)) = tptp0(tptp2(tptp0(sF0,sF2)),tptp0(X0,tptp3)),
    inference(forward_demodulation,[],[f1828,f36]) ).

fof(f1833,plain,
    ! [X0,X1] : tptp0(sF5,tptp0(X0,tptp0(X1,tptp3))) = tptp0(tptp2(tptp0(sF0,sF2)),tptp0(X0,tptp0(X1,tptp3))),
    inference(superposition,[],[f1830,f4]) ).

fof(f1834,plain,
    tptp0(sF5,tptp3) = tptp0(tptp2(tptp0(sF0,sF2)),tptp3),
    inference(superposition,[],[f1830,f973]) ).

fof(f1841,plain,
    tptp0(sF5,sF1) = tptp0(tptp2(tptp0(sF0,sF2)),sF1),
    inference(superposition,[],[f1830,f28]) ).

fof(f1866,plain,
    sF6 = tptp0(tptp2(tptp0(sF0,sF2)),tptp3),
    inference(forward_demodulation,[],[f1834,f38]) ).

fof(f1880,plain,
    ! [X0,X1] : tptp0(sF2,tptp0(X0,tptp0(X1,tptp3))) = tptp1(tptp0(tptp0(sF3,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))),tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF3),tptp0(tptp0(tptp0(sF3,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))),sF3))),
    inference(superposition,[],[f304,f4]) ).

fof(f1888,plain,
    tptp0(sF2,sF1) = tptp1(tptp0(tptp0(sF3,sF1),sF1),tptp0(tptp0(sF1,sF3),tptp0(tptp0(tptp0(sF3,sF1),sF1),sF3))),
    inference(superposition,[],[f304,f28]) ).

fof(f1985,plain,
    ! [X0,X1] : tptp0(sF0,tptp0(X0,tptp0(X1,tptp3))) = tptp1(tptp0(tptp0(sF1,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))),tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF1),tptp0(tptp0(tptp0(sF1,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))),sF1))),
    inference(superposition,[],[f305,f4]) ).

fof(f2038,plain,
    ! [X0,X1] : tptp0(tptp1(X1,X0),tptp3) = tptp0(tptp2(tptp0(X0,tptp0(X1,tptp2(tptp5)))),tptp3),
    inference(superposition,[],[f1064,f139]) ).

fof(f2041,plain,
    tptp0(tptp3,tptp3) = tptp0(tptp2(tptp5),tptp3),
    inference(superposition,[],[f1064,f6]) ).

fof(f2063,plain,
    ! [X0,X1] : tptp1(tptp0(X1,tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp3)),tptp0(tptp0(X1,tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp3)),tptp0(tptp0(tptp0(X1,tptp3),tptp0(X0,tptp3)),tptp0(X0,tptp3)))) = tptp0(tptp2(tptp0(X0,tptp2(tptp5))),tptp0(X1,tptp3)),
    inference(superposition,[],[f293,f1064]) ).

fof(f2085,plain,
    ! [X0,X1] : tptp0(X0,tptp0(X1,tptp3)) = tptp0(tptp2(tptp0(X0,tptp2(tptp5))),tptp0(X1,tptp3)),
    inference(forward_demodulation,[],[f2063,f293]) ).

fof(f2095,plain,
    tptp5 = tptp0(tptp2(tptp5),tptp3),
    inference(forward_demodulation,[],[f2041,f6]) ).

fof(f2097,plain,
    ! [X0,X1] : tptp0(X1,tptp0(X0,tptp3)) = tptp0(tptp2(tptp0(X0,tptp0(X1,tptp2(tptp5)))),tptp3),
    inference(forward_demodulation,[],[f2038,f4]) ).

fof(f2122,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF10),tptp2(tptp0(sF8,sF10)))),tptp5),
    inference(backward_demodulation,[],[f1666,f2095]) ).

fof(f2136,plain,
    tptp3 = tptp2(tptp0(tptp2(sF10),tptp2(tptp0(sF8,sF10)))),
    inference(forward_demodulation,[],[f2122,f140]) ).

fof(f2235,plain,
    ! [X0,X1] : tptp0(X1,tptp0(X0,tptp3)) = tptp0(X0,tptp0(X1,tptp0(X0,tptp3))),
    inference(superposition,[],[f279,f990]) ).

fof(f2237,plain,
    ! [X2,X3,X0,X1] : tptp0(X1,tptp0(X3,tptp0(X0,X2))) = tptp0(X3,tptp0(X0,tptp0(X1,X2))),
    inference(superposition,[],[f279,f279]) ).

fof(f2239,plain,
    ! [X0,X1] : tptp0(X1,tptp5) = tptp0(X0,tptp0(X1,X0)),
    inference(superposition,[],[f279,f1251]) ).

fof(f2260,plain,
    ! [X0,X1] : tptp0(tptp2(tptp0(sF0,sF2)),tptp0(X1,tptp0(X0,tptp3))) = tptp0(X1,tptp0(sF5,tptp0(X0,tptp3))),
    inference(superposition,[],[f279,f1830]) ).

fof(f2263,plain,
    ! [X0] : tptp0(X0,sF1) = tptp0(sF0,tptp0(X0,tptp3)),
    inference(superposition,[],[f279,f28]) ).

fof(f2271,plain,
    ! [X0] : tptp0(X0,sF10) = tptp0(sF1,tptp0(X0,sF7)),
    inference(superposition,[],[f279,f46]) ).

fof(f2272,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp0(sF1,tptp0(X0,sF9)),
    inference(superposition,[],[f279,f1246]) ).

fof(f2274,plain,
    ! [X0] : tptp0(X0,sF3) = tptp0(sF2,tptp0(X0,tptp3)),
    inference(superposition,[],[f279,f32]) ).

fof(f2277,plain,
    ! [X0] : tptp0(X0,sF6) = tptp0(sF5,tptp0(X0,tptp3)),
    inference(superposition,[],[f279,f38]) ).

fof(f2278,plain,
    ! [X0] : tptp0(X0,sF6) = tptp0(sF5,tptp0(X0,sF6)),
    inference(superposition,[],[f279,f1378]) ).

fof(f2281,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(sF7,tptp0(X0,sF1)),
    inference(superposition,[],[f279,f42]) ).

fof(f2285,plain,
    ! [X0] : tptp0(X0,sF9) = tptp0(sF8,tptp0(X0,sF1)),
    inference(superposition,[],[f279,f44]) ).

fof(f2289,plain,
    ! [X0] : tptp0(X0,sF11) = tptp0(sF10,tptp0(X0,sF7)),
    inference(superposition,[],[f279,f48]) ).

fof(f2354,plain,
    ! [X0,X1] : tptp5 = tptp0(X0,tptp0(tptp0(X0,X1),X1)),
    inference(superposition,[],[f1251,f279]) ).

fof(f2356,plain,
    ! [X2,X0,X1] : tptp1(tptp0(X0,X2),tptp0(tptp0(X0,X2),X1)) = tptp1(X1,tptp0(X0,tptp0(X1,X2))),
    inference(superposition,[],[f3,f279]) ).

fof(f2461,plain,
    ! [X0,X1] : tptp0(sF2,tptp0(X0,tptp0(X1,tptp3))) = tptp1(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF3),sF3),tptp0(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF3),sF3),tptp0(tptp0(sF3,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))))),
    inference(backward_demodulation,[],[f1880,f2356]) ).

fof(f2463,plain,
    ! [X0,X1] : tptp0(sF0,tptp0(X0,tptp0(X1,tptp3))) = tptp1(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF1),sF1),tptp0(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF1),sF1),tptp0(tptp0(sF1,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))))),
    inference(backward_demodulation,[],[f1985,f2356]) ).

fof(f2464,plain,
    tptp0(sF2,sF1) = tptp1(tptp0(tptp0(sF1,sF3),sF3),tptp0(tptp0(tptp0(sF1,sF3),sF3),tptp0(tptp0(sF3,sF1),sF1))),
    inference(backward_demodulation,[],[f1888,f2356]) ).

fof(f2491,plain,
    ! [X0] : tptp0(X0,sF6) = tptp0(tptp2(tptp0(sF0,sF2)),tptp0(X0,tptp3)),
    inference(backward_demodulation,[],[f1830,f2277]) ).

fof(f2500,plain,
    ! [X0] : tptp1(tptp0(tptp0(tptp0(X0,tptp3),sF6),sF6),tptp0(tptp0(tptp0(tptp0(X0,tptp3),sF6),sF6),tptp0(tptp0(sF6,tptp0(X0,tptp3)),tptp0(X0,tptp3)))) = tptp0(X0,sF6),
    inference(backward_demodulation,[],[f354,f2277]) ).

fof(f2505,plain,
    ! [X0] : tptp1(tptp0(tptp0(tptp0(X0,tptp3),sF3),sF3),tptp0(tptp0(tptp0(tptp0(X0,tptp3),sF3),sF3),tptp0(tptp0(sF3,tptp0(X0,tptp3)),tptp0(X0,tptp3)))) = tptp0(X0,sF3),
    inference(backward_demodulation,[],[f353,f2274]) ).

fof(f2508,plain,
    ! [X0] : tptp5 = tptp0(sF1,tptp0(X0,sF9)),
    inference(forward_demodulation,[],[f2272,f935]) ).

fof(f2518,plain,
    ! [X0] : tptp1(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp0(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(X0,tptp3)))) = tptp0(X0,sF1),
    inference(backward_demodulation,[],[f352,f2263]) ).

fof(f2520,plain,
    ! [X0,X1] : tptp0(tptp2(tptp0(sF0,sF2)),tptp0(X1,tptp0(X0,tptp3))) = tptp0(X1,tptp0(X0,sF6)),
    inference(forward_demodulation,[],[f2260,f2277]) ).

fof(f2528,plain,
    ! [X0,X1] : tptp5 = tptp0(X0,tptp0(X1,X0)),
    inference(forward_demodulation,[],[f2239,f935]) ).

fof(f2536,plain,
    ! [X0,X1] : tptp0(X0,tptp0(X1,tptp3)) = tptp1(tptp0(X1,tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp3)),tptp0(tptp0(tptp0(X1,tptp3),tptp0(X0,tptp3)),tptp0(X0,tptp0(tptp0(X1,tptp0(tptp0(tptp0(X0,tptp3),tptp0(X1,tptp3)),tptp3)),tptp3)))),
    inference(backward_demodulation,[],[f293,f2237]) ).

fof(f2564,plain,
    ! [X0] : tptp0(X0,sF1) = tptp1(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp0(X0,tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp3)))),
    inference(backward_demodulation,[],[f309,f2237]) ).

fof(f2576,plain,
    ! [X0,X1] : tptp0(X0,tptp0(X1,tptp3)) = tptp0(X0,tptp0(X0,tptp0(X1,tptp3))),
    inference(backward_demodulation,[],[f1413,f2235]) ).

fof(f2653,plain,
    ! [X0,X1] : tptp0(sF5,tptp0(X0,tptp0(X1,tptp3))) = tptp0(X0,tptp0(X1,sF6)),
    inference(backward_demodulation,[],[f1833,f2520]) ).

fof(f2655,plain,
    tptp0(sF10,sF8) = tptp1(sF8,tptp5),
    inference(backward_demodulation,[],[f1650,f2528]) ).

fof(f2657,plain,
    tptp0(sF8,sF10) = tptp1(sF10,tptp5),
    inference(backward_demodulation,[],[f1673,f2528]) ).

fof(f2676,plain,
    sF10 = tptp0(sF8,sF10),
    inference(forward_demodulation,[],[f2657,f140]) ).

fof(f2678,plain,
    sF8 = tptp0(sF10,sF8),
    inference(forward_demodulation,[],[f2655,f140]) ).

fof(f2685,plain,
    tptp3 = tptp2(tptp0(tptp2(sF10),tptp2(sF10))),
    inference(backward_demodulation,[],[f2136,f2676]) ).

fof(f2689,plain,
    tptp5 = tptp0(sF1,sF8),
    inference(backward_demodulation,[],[f1302,f2678]) ).

fof(f2694,plain,
    tptp3 = tptp2(tptp5),
    inference(forward_demodulation,[],[f2685,f1251]) ).

fof(f2698,plain,
    ! [X0] : tptp0(sF8,tptp0(sF9,X0)) = tptp0(sF1,tptp0(tptp5,X0)),
    inference(backward_demodulation,[],[f799,f2689]) ).

fof(f2700,plain,
    tptp1(sF8,sF9) = tptp1(sF1,tptp5),
    inference(backward_demodulation,[],[f77,f2689]) ).

fof(f2701,plain,
    ! [X0] : tptp0(X0,tptp3) = tptp0(tptp2(tptp0(X0,tptp3)),tptp3),
    inference(backward_demodulation,[],[f1064,f2694]) ).

fof(f2705,plain,
    ! [X0,X1] : tptp0(X0,tptp0(X1,tptp3)) = tptp0(tptp2(tptp0(X0,tptp3)),tptp0(X1,tptp3)),
    inference(backward_demodulation,[],[f2085,f2694]) ).

fof(f2708,plain,
    ! [X0,X1] : tptp0(X1,tptp0(X0,tptp3)) = tptp0(tptp2(tptp0(X0,tptp0(X1,tptp3))),tptp3),
    inference(backward_demodulation,[],[f2097,f2694]) ).

fof(f2713,plain,
    sF1 = tptp1(sF8,sF9),
    inference(forward_demodulation,[],[f2700,f140]) ).

fof(f2715,plain,
    ! [X0] : tptp0(sF1,X0) = tptp0(sF8,tptp0(sF9,X0)),
    inference(forward_demodulation,[],[f2698,f973]) ).

fof(f2738,plain,
    tptp5 = tptp2(tptp3),
    inference(superposition,[],[f16,f2694]) ).

fof(f2882,plain,
    tptp0(sF7,sF10) = tptp0(sF1,tptp0(sF10,sF10)),
    inference(superposition,[],[f520,f2676]) ).

fof(f2892,plain,
    tptp0(sF7,sF10) = tptp0(sF1,tptp5),
    inference(forward_demodulation,[],[f2882,f1251]) ).

fof(f2893,plain,
    tptp5 = tptp0(sF7,sF10),
    inference(forward_demodulation,[],[f2892,f935]) ).

fof(f2895,plain,
    ! [X0] : tptp0(sF10,tptp0(sF11,X0)) = tptp0(sF7,tptp0(tptp5,X0)),
    inference(backward_demodulation,[],[f800,f2893]) ).

fof(f2897,plain,
    tptp1(sF10,sF11) = tptp1(sF7,tptp5),
    inference(backward_demodulation,[],[f78,f2893]) ).

fof(f2898,plain,
    sF7 = tptp1(sF10,sF11),
    inference(forward_demodulation,[],[f2897,f140]) ).

fof(f2900,plain,
    ! [X0] : tptp0(sF7,X0) = tptp0(sF10,tptp0(sF11,X0)),
    inference(forward_demodulation,[],[f2895,f973]) ).

fof(f2920,plain,
    tptp0(sF1,sF11) = tptp0(sF8,sF12),
    inference(superposition,[],[f2715,f50]) ).

fof(f2921,plain,
    ! [X0] : tptp0(sF1,tptp0(sF12,X0)) = tptp0(sF8,tptp0(sF13,X0)),
    inference(superposition,[],[f2715,f61]) ).

fof(f2929,plain,
    ! [X0] : tptp0(sF1,tptp0(sF10,tptp0(sF9,X0))) = tptp0(sF7,tptp0(sF1,X0)),
    inference(superposition,[],[f520,f2715]) ).

fof(f2939,plain,
    tptp5 = tptp0(sF8,sF12),
    inference(forward_demodulation,[],[f2920,f1472]) ).

fof(f2957,plain,
    ! [X0] : tptp0(sF1,X0) = tptp0(sF9,tptp0(sF8,X0)),
    inference(superposition,[],[f139,f2713]) ).

fof(f2984,plain,
    tptp5 = tptp0(b,sF4),
    inference(superposition,[],[f2528,f34]) ).

fof(f3008,plain,
    tptp5 = tptp0(sF11,sF12),
    inference(superposition,[],[f2528,f50]) ).

fof(f3043,plain,
    tptp5 = tptp0(sF7,sF3),
    inference(superposition,[],[f62,f2528]) ).

fof(f3103,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF4),tptp2(b))),tptp0(tptp2(tptp5),tptp3)),
    inference(superposition,[],[f141,f2984]) ).

fof(f3109,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF4),tptp2(b))),tptp0(tptp3,tptp3)),
    inference(forward_demodulation,[],[f3103,f2694]) ).

fof(f3112,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF4),tptp2(b))),tptp5),
    inference(forward_demodulation,[],[f3109,f6]) ).

fof(f3114,plain,
    tptp3 = tptp2(tptp0(tptp2(sF4),tptp2(b))),
    inference(forward_demodulation,[],[f3112,f140]) ).

fof(f3115,plain,
    tptp3 = tptp2(tptp0(tptp2(sF4),sF0)),
    inference(forward_demodulation,[],[f3114,f26]) ).

fof(f3116,plain,
    tptp3 = tptp2(tptp0(sF5,sF0)),
    inference(forward_demodulation,[],[f3115,f36]) ).

fof(f3128,plain,
    tptp0(tptp2(tptp0(sF0,sF2)),sF1) = tptp0(sF0,sF6),
    inference(superposition,[],[f2491,f28]) ).

fof(f3164,plain,
    tptp0(sF5,sF1) = tptp0(sF0,sF6),
    inference(backward_demodulation,[],[f1841,f3128]) ).

fof(f3206,plain,
    tptp0(sF10,tptp5) = tptp0(sF7,sF12),
    inference(superposition,[],[f2900,f3008]) ).

fof(f3209,plain,
    tptp0(sF7,tptp0(sF11,tptp3)) = tptp0(sF10,tptp0(sF11,tptp3)),
    inference(superposition,[],[f2900,f990]) ).

fof(f3227,plain,
    tptp0(sF7,tptp3) = tptp0(sF7,tptp0(sF11,tptp3)),
    inference(forward_demodulation,[],[f3209,f2900]) ).

fof(f3228,plain,
    tptp5 = tptp0(sF7,sF12),
    inference(forward_demodulation,[],[f3206,f935]) ).

fof(f3246,plain,
    tptp2(tptp3) = tptp0(sF5,sF0),
    inference(superposition,[],[f16,f3116]) ).

fof(f3276,plain,
    tptp5 = tptp0(sF5,sF0),
    inference(forward_demodulation,[],[f3246,f2738]) ).

fof(f3326,plain,
    tptp1(sF0,tptp0(sF0,sF5)) = tptp1(sF5,tptp5),
    inference(superposition,[],[f3,f3276]) ).

fof(f3342,plain,
    sF5 = tptp1(sF0,tptp0(sF0,sF5)),
    inference(forward_demodulation,[],[f3326,f140]) ).

fof(f3350,plain,
    ! [X0] : tptp0(sF7,X0) = tptp0(sF11,tptp0(sF10,X0)),
    inference(superposition,[],[f139,f2898]) ).

fof(f3359,plain,
    ! [X0,X1] : tptp1(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF1),sF1),tptp0(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF1),sF1),tptp0(tptp0(sF1,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))))) = tptp0(tptp1(X0,X1),sF1),
    inference(superposition,[],[f2518,f4]) ).

fof(f3368,plain,
    tptp0(sF2,sF1) = tptp1(tptp0(tptp0(sF3,sF1),sF1),tptp0(tptp0(tptp0(sF3,sF1),sF1),tptp0(tptp0(sF1,sF3),sF3))),
    inference(superposition,[],[f2518,f32]) ).

fof(f3385,plain,
    ! [X0,X1] : tptp1(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF1),sF1),tptp0(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF1),sF1),tptp0(tptp0(sF1,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))))) = tptp0(X0,tptp0(X1,sF1)),
    inference(forward_demodulation,[],[f3359,f4]) ).

fof(f3392,plain,
    ! [X0,X1] : tptp0(sF0,tptp0(X0,tptp0(X1,tptp3))) = tptp0(X0,tptp0(X1,sF1)),
    inference(backward_demodulation,[],[f2463,f3385]) ).

fof(f3438,plain,
    ! [X0] : tptp0(X0,sF3) = tptp1(tptp0(sF2,tptp0(tptp0(tptp0(X0,tptp3),sF3),tptp3)),tptp0(tptp0(sF3,tptp0(X0,tptp3)),tptp0(X0,tptp0(tptp0(sF2,tptp0(tptp0(tptp0(X0,tptp3),sF3),tptp3)),tptp3)))),
    inference(superposition,[],[f2536,f32]) ).

fof(f3501,plain,
    ! [X0] : tptp0(X0,sF3) = tptp1(tptp0(tptp0(tptp0(X0,tptp3),sF3),sF3),tptp0(tptp0(sF3,tptp0(X0,tptp3)),tptp0(X0,tptp0(tptp0(tptp0(tptp0(X0,tptp3),sF3),sF3),tptp3)))),
    inference(forward_demodulation,[],[f3438,f2274]) ).

fof(f3602,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp0(sF7,tptp0(X0,sF3)),
    inference(superposition,[],[f279,f3043]) ).

fof(f3604,plain,
    ! [X0] : tptp5 = tptp0(sF7,tptp0(X0,sF3)),
    inference(forward_demodulation,[],[f3602,f935]) ).

fof(f3677,plain,
    ! [X0,X1] : tptp1(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF3),sF3),tptp0(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF3),sF3),tptp0(tptp0(sF3,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))))) = tptp0(tptp1(X0,X1),sF3),
    inference(superposition,[],[f2505,f4]) ).

fof(f3685,plain,
    tptp0(sF0,sF3) = tptp1(tptp0(tptp0(sF1,sF3),sF3),tptp0(tptp0(tptp0(sF1,sF3),sF3),tptp0(tptp0(sF3,sF1),sF1))),
    inference(superposition,[],[f2505,f28]) ).

fof(f3696,plain,
    tptp0(sF2,sF1) = tptp0(sF0,sF3),
    inference(backward_demodulation,[],[f2464,f3685]) ).

fof(f3704,plain,
    ! [X0,X1] : tptp1(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF3),sF3),tptp0(tptp0(tptp0(tptp0(X0,tptp0(X1,tptp3)),sF3),sF3),tptp0(tptp0(sF3,tptp0(X0,tptp0(X1,tptp3))),tptp0(X0,tptp0(X1,tptp3))))) = tptp0(X0,tptp0(X1,sF3)),
    inference(forward_demodulation,[],[f3677,f4]) ).

fof(f3709,plain,
    tptp0(sF0,sF3) = tptp1(tptp0(tptp0(sF3,sF1),sF1),tptp0(tptp0(tptp0(sF3,sF1),sF1),tptp0(tptp0(sF1,sF3),sF3))),
    inference(backward_demodulation,[],[f3368,f3696]) ).

fof(f3712,plain,
    ! [X0,X1] : tptp0(sF2,tptp0(X0,tptp0(X1,tptp3))) = tptp0(X0,tptp0(X1,sF3)),
    inference(backward_demodulation,[],[f2461,f3704]) ).

fof(f3748,plain,
    sF1 = tptp0(tptp2(sF1),tptp3),
    inference(superposition,[],[f2701,f28]) ).

fof(f3749,plain,
    sF3 = tptp0(tptp2(sF3),tptp3),
    inference(superposition,[],[f2701,f32]) ).

fof(f3769,plain,
    ! [X0] : tptp1(tptp0(tptp0(tptp0(X0,tptp3),sF3),sF3),tptp0(tptp0(tptp0(tptp0(X0,tptp3),sF3),sF3),tptp0(tptp0(sF3,tptp0(X0,tptp3)),tptp0(X0,tptp3)))) = tptp0(tptp2(tptp0(X0,tptp3)),sF3),
    inference(superposition,[],[f2505,f2701]) ).

fof(f3770,plain,
    ! [X0] : tptp1(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp0(tptp0(tptp0(tptp0(X0,tptp3),sF1),sF1),tptp0(tptp0(sF1,tptp0(X0,tptp3)),tptp0(X0,tptp3)))) = tptp0(tptp2(tptp0(X0,tptp3)),sF1),
    inference(superposition,[],[f2518,f2701]) ).

fof(f3792,plain,
    ! [X0] : tptp0(X0,sF1) = tptp0(tptp2(tptp0(X0,tptp3)),sF1),
    inference(forward_demodulation,[],[f3770,f2518]) ).

fof(f3793,plain,
    ! [X0] : tptp0(X0,sF3) = tptp0(tptp2(tptp0(X0,tptp3)),sF3),
    inference(forward_demodulation,[],[f3769,f2505]) ).

fof(f3840,plain,
    sF1 = tptp0(tptp2(sF1),sF1),
    inference(superposition,[],[f990,f3748]) ).

fof(f3843,plain,
    tptp1(tptp0(tptp0(sF1,sF3),sF3),tptp0(tptp0(tptp0(sF1,sF3),sF3),tptp0(tptp0(sF3,sF1),sF1))) = tptp0(tptp2(sF1),sF3),
    inference(superposition,[],[f2505,f3748]) ).

fof(f3853,plain,
    ! [X0] : tptp0(tptp3,tptp0(tptp0(tptp3,tptp2(sF1)),X0)) = tptp0(tptp2(sF1),tptp0(sF1,X0)),
    inference(superposition,[],[f81,f3748]) ).

fof(f3859,plain,
    ! [X0] : tptp5 = tptp0(tptp2(sF1),tptp0(sF1,X0)),
    inference(forward_demodulation,[],[f3853,f6]) ).

fof(f3868,plain,
    tptp0(sF0,sF3) = tptp0(tptp2(sF1),sF3),
    inference(forward_demodulation,[],[f3843,f3685]) ).

fof(f3899,plain,
    ! [X0] : tptp0(X0,sF1) = tptp0(tptp2(sF1),tptp0(X0,sF1)),
    inference(superposition,[],[f279,f3840]) ).

fof(f3916,plain,
    ! [X0] : tptp0(X0,tptp0(sF0,sF3)) = tptp0(tptp2(sF1),tptp0(X0,sF3)),
    inference(superposition,[],[f279,f3868]) ).

fof(f4019,plain,
    tptp1(tptp0(tptp0(sF3,sF1),sF1),tptp0(tptp0(tptp0(sF3,sF1),sF1),tptp0(tptp0(sF1,sF3),sF3))) = tptp0(tptp2(sF3),sF1),
    inference(superposition,[],[f2518,f3749]) ).

fof(f4042,plain,
    tptp0(sF0,sF3) = tptp0(tptp2(sF3),sF1),
    inference(forward_demodulation,[],[f4019,f3709]) ).

fof(f4336,plain,
    ! [X0] : tptp5 = tptp0(X0,tptp0(tptp0(X0,sF1),sF9)),
    inference(superposition,[],[f81,f2508]) ).

fof(f4377,plain,
    ! [X0] : tptp0(X0,tptp0(sF0,sF3)) = tptp0(tptp2(sF3),tptp0(X0,sF1)),
    inference(superposition,[],[f279,f4042]) ).

fof(f4391,plain,
    ! [X0,X1] : tptp0(tptp1(X0,X1),sF1) = tptp0(tptp2(tptp0(X0,tptp0(X1,tptp3))),sF1),
    inference(superposition,[],[f3792,f4]) ).

fof(f4405,plain,
    ! [X0] : tptp0(tptp2(tptp0(tptp2(sF1),tptp0(X0,tptp3))),tptp3) = tptp0(tptp2(tptp0(X0,sF1)),tptp3),
    inference(superposition,[],[f128,f3792]) ).

fof(f4417,plain,
    ! [X0] : tptp0(X0,tptp0(tptp2(sF1),tptp3)) = tptp0(tptp2(tptp0(X0,sF1)),tptp3),
    inference(forward_demodulation,[],[f4405,f2708]) ).

fof(f4427,plain,
    ! [X0,X1] : tptp0(X0,tptp0(X1,sF1)) = tptp0(tptp2(tptp0(X0,tptp0(X1,tptp3))),sF1),
    inference(forward_demodulation,[],[f4391,f4]) ).

fof(f4430,plain,
    ! [X0] : tptp0(X0,sF1) = tptp0(tptp2(tptp0(X0,sF1)),tptp3),
    inference(forward_demodulation,[],[f4417,f3748]) ).

fof(f4578,plain,
    ! [X0] : tptp0(tptp2(tptp0(tptp2(sF3),tptp0(X0,tptp3))),tptp3) = tptp0(tptp2(tptp0(X0,sF3)),tptp3),
    inference(superposition,[],[f128,f3793]) ).

fof(f4590,plain,
    ! [X0] : tptp0(X0,tptp0(tptp2(sF3),tptp3)) = tptp0(tptp2(tptp0(X0,sF3)),tptp3),
    inference(forward_demodulation,[],[f4578,f2708]) ).

fof(f4602,plain,
    ! [X0] : tptp0(X0,sF3) = tptp0(tptp2(tptp0(X0,sF3)),tptp3),
    inference(forward_demodulation,[],[f4590,f3749]) ).

fof(f4834,plain,
    ! [X0] : tptp0(sF5,tptp0(X0,sF6)) = tptp0(tptp2(tptp0(sF0,sF2)),tptp0(X0,sF6)),
    inference(superposition,[],[f2653,f2491]) ).

fof(f4864,plain,
    ! [X0] : tptp0(X0,sF6) = tptp0(tptp2(tptp0(sF0,sF2)),tptp0(X0,sF6)),
    inference(forward_demodulation,[],[f4834,f2278]) ).

fof(f6534,plain,
    ! [X0] : tptp0(sF9,tptp0(tptp0(sF9,sF1),X0)) = tptp0(tptp5,tptp0(sF1,X0)),
    inference(superposition,[],[f331,f1246]) ).

fof(f6554,plain,
    ! [X0] : tptp0(sF12,tptp0(tptp0(sF12,sF8),X0)) = tptp0(tptp5,tptp0(sF8,X0)),
    inference(superposition,[],[f331,f2939]) ).

fof(f6555,plain,
    ! [X0] : tptp0(sF12,tptp0(sF9,X0)) = tptp0(sF11,tptp0(tptp0(sF11,sF9),X0)),
    inference(superposition,[],[f331,f50]) ).

fof(f6623,plain,
    ! [X0] : tptp0(tptp0(sF0,X0),sF1) = tptp0(X0,tptp0(tptp0(X0,sF0),sF1)),
    inference(superposition,[],[f331,f1376]) ).

fof(f6630,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF1),sF7)) = tptp0(tptp0(sF1,X0),sF10),
    inference(superposition,[],[f331,f46]) ).

fof(f6635,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF2),tptp3)) = tptp0(tptp0(sF2,X0),sF3),
    inference(superposition,[],[f331,f32]) ).

fof(f6642,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF5),sF1)) = tptp0(tptp0(sF5,X0),tptp0(sF0,sF6)),
    inference(superposition,[],[f331,f3164]) ).

fof(f6659,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF8),sF12)) = tptp0(tptp0(sF8,X0),tptp5),
    inference(superposition,[],[f331,f2939]) ).

fof(f6763,plain,
    ! [X0] : tptp5 = tptp0(X0,tptp0(tptp0(X0,sF8),sF12)),
    inference(forward_demodulation,[],[f6659,f935]) ).

fof(f6794,plain,
    ! [X0] : tptp0(sF13,X0) = tptp0(sF11,tptp0(tptp0(sF11,sF9),X0)),
    inference(forward_demodulation,[],[f6555,f277]) ).

fof(f6795,plain,
    ! [X0] : tptp0(sF8,X0) = tptp0(sF12,tptp0(tptp0(sF12,sF8),X0)),
    inference(forward_demodulation,[],[f6554,f973]) ).

fof(f6811,plain,
    ! [X0] : tptp0(sF1,X0) = tptp0(sF9,tptp0(tptp0(sF9,sF1),X0)),
    inference(forward_demodulation,[],[f6534,f973]) ).

fof(f7431,plain,
    ! [X0] : tptp0(sF3,tptp5) = tptp0(sF7,tptp0(sF5,X0)),
    inference(superposition,[],[f62,f336]) ).

fof(f7455,plain,
    ! [X0] : tptp5 = tptp0(sF7,tptp0(sF5,X0)),
    inference(forward_demodulation,[],[f7431,f935]) ).

fof(f7569,plain,
    ! [X0] : tptp0(sF5,X0) = tptp0(tptp0(sF0,sF5),tptp0(sF0,X0)),
    inference(superposition,[],[f139,f3342]) ).

fof(f7876,plain,
    ! [X0] : tptp0(sF6,tptp5) = tptp0(sF7,tptp0(sF2,X0)),
    inference(superposition,[],[f276,f340]) ).

fof(f7880,plain,
    tptp0(sF7,tptp0(sF3,tptp3)) = tptp0(sF6,tptp0(sF3,tptp3)),
    inference(superposition,[],[f276,f990]) ).

fof(f7913,plain,
    tptp0(sF7,tptp3) = tptp0(sF7,tptp0(sF3,tptp3)),
    inference(forward_demodulation,[],[f7880,f276]) ).

fof(f7914,plain,
    ! [X0] : tptp5 = tptp0(sF7,tptp0(sF2,X0)),
    inference(forward_demodulation,[],[f7876,f935]) ).

fof(f8116,plain,
    ! [X0] : tptp0(sF0,tptp0(X0,tptp3)) = tptp0(X0,tptp0(X0,sF1)),
    inference(superposition,[],[f3392,f990]) ).

fof(f8148,plain,
    tptp0(sF0,tptp5) = tptp0(sF7,tptp0(sF2,sF1)),
    inference(superposition,[],[f3392,f7914]) ).

fof(f8149,plain,
    tptp0(sF0,tptp0(sF7,tptp3)) = tptp0(sF7,tptp0(sF3,sF1)),
    inference(superposition,[],[f3392,f7913]) ).

fof(f8150,plain,
    tptp0(sF0,tptp5) = tptp0(sF7,tptp0(sF5,sF1)),
    inference(superposition,[],[f3392,f7455]) ).

fof(f8151,plain,
    tptp0(sF0,tptp0(sF7,tptp3)) = tptp0(sF7,tptp0(sF6,sF1)),
    inference(superposition,[],[f3392,f1407]) ).

fof(f8153,plain,
    tptp0(sF0,tptp0(sF7,tptp3)) = tptp0(sF7,tptp0(sF11,sF1)),
    inference(superposition,[],[f3392,f3227]) ).

fof(f8191,plain,
    tptp0(sF0,tptp0(sF7,tptp3)) = tptp0(sF11,sF8),
    inference(forward_demodulation,[],[f8153,f2281]) ).

fof(f8193,plain,
    tptp0(sF0,tptp0(sF7,tptp3)) = tptp0(sF6,sF8),
    inference(forward_demodulation,[],[f8151,f2281]) ).

fof(f8194,plain,
    tptp0(sF0,tptp5) = tptp0(sF5,sF8),
    inference(forward_demodulation,[],[f8150,f2281]) ).

fof(f8195,plain,
    tptp0(sF0,tptp0(sF7,tptp3)) = tptp0(sF3,sF8),
    inference(forward_demodulation,[],[f8149,f2281]) ).

fof(f8196,plain,
    tptp0(sF0,tptp5) = tptp0(sF2,sF8),
    inference(forward_demodulation,[],[f8148,f2281]) ).

fof(f8225,plain,
    ! [X0] : tptp0(X0,sF1) = tptp0(X0,tptp0(X0,sF1)),
    inference(forward_demodulation,[],[f8116,f2263]) ).

fof(f8251,plain,
    tptp0(sF7,sF1) = tptp0(sF11,sF8),
    inference(forward_demodulation,[],[f8191,f2263]) ).

fof(f8253,plain,
    tptp0(sF7,sF1) = tptp0(sF6,sF8),
    inference(forward_demodulation,[],[f8193,f2263]) ).

fof(f8254,plain,
    tptp5 = tptp0(sF5,sF8),
    inference(forward_demodulation,[],[f8194,f935]) ).

fof(f8255,plain,
    tptp0(sF7,sF1) = tptp0(sF3,sF8),
    inference(forward_demodulation,[],[f8195,f2263]) ).

fof(f8256,plain,
    tptp5 = tptp0(sF2,sF8),
    inference(forward_demodulation,[],[f8196,f935]) ).

fof(f8262,plain,
    sF8 = tptp0(sF11,sF8),
    inference(forward_demodulation,[],[f8251,f42]) ).

fof(f8263,plain,
    sF8 = tptp0(sF6,sF8),
    inference(forward_demodulation,[],[f8253,f42]) ).

fof(f8264,plain,
    sF8 = tptp0(sF3,sF8),
    inference(forward_demodulation,[],[f8255,f42]) ).

fof(f8276,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(sF3,tptp0(X0,sF8)),
    inference(superposition,[],[f279,f8264]) ).

fof(f8287,plain,
    tptp1(sF8,tptp0(sF8,sF11)) = tptp1(sF11,sF8),
    inference(superposition,[],[f3,f8262]) ).

fof(f8294,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(sF11,tptp0(X0,sF8)),
    inference(superposition,[],[f279,f8262]) ).

fof(f8296,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF11),sF8)) = tptp0(tptp0(sF11,X0),sF8),
    inference(superposition,[],[f331,f8262]) ).

fof(f8340,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp0(sF2,tptp0(X0,sF8)),
    inference(superposition,[],[f279,f8256]) ).

fof(f8352,plain,
    ! [X0] : tptp5 = tptp0(sF2,tptp0(X0,sF8)),
    inference(forward_demodulation,[],[f8340,f935]) ).

fof(f8369,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp0(sF5,tptp0(X0,sF8)),
    inference(superposition,[],[f279,f8254]) ).

fof(f8381,plain,
    ! [X0] : tptp5 = tptp0(sF5,tptp0(X0,sF8)),
    inference(forward_demodulation,[],[f8369,f935]) ).

fof(f8406,plain,
    sF9 = tptp0(sF8,sF9),
    inference(superposition,[],[f8225,f44]) ).

fof(f8446,plain,
    tptp0(sF9,tptp0(sF12,sF1)) = tptp0(sF13,tptp0(sF12,sF1)),
    inference(superposition,[],[f61,f8225]) ).

fof(f8447,plain,
    tptp0(sF13,sF1) = tptp0(sF13,tptp0(sF12,sF1)),
    inference(forward_demodulation,[],[f8446,f61]) ).

fof(f8489,plain,
    ! [X0] : tptp0(X0,sF9) = tptp0(sF8,tptp0(X0,sF9)),
    inference(superposition,[],[f279,f8406]) ).

fof(f8550,plain,
    tptp0(sF12,sF12) = tptp0(sF13,sF11),
    inference(superposition,[],[f277,f50]) ).

fof(f8555,plain,
    tptp0(sF13,tptp0(sF9,tptp3)) = tptp0(sF12,tptp0(sF9,tptp3)),
    inference(superposition,[],[f277,f990]) ).

fof(f8557,plain,
    tptp0(sF13,tptp0(sF9,sF1)) = tptp0(sF12,tptp0(sF9,sF1)),
    inference(superposition,[],[f277,f8225]) ).

fof(f8588,plain,
    tptp0(sF13,sF1) = tptp0(sF13,tptp0(sF9,sF1)),
    inference(forward_demodulation,[],[f8557,f277]) ).

fof(f8590,plain,
    tptp0(sF13,tptp3) = tptp0(sF13,tptp0(sF9,tptp3)),
    inference(forward_demodulation,[],[f8555,f277]) ).

fof(f8591,plain,
    tptp5 = tptp0(sF13,sF11),
    inference(forward_demodulation,[],[f8550,f1251]) ).

fof(f8594,plain,
    tptp1(sF13,tptp5) = tptp1(sF11,tptp0(sF11,sF13)),
    inference(superposition,[],[f3,f8591]) ).

fof(f8620,plain,
    sF13 = tptp1(sF11,tptp0(sF11,sF13)),
    inference(forward_demodulation,[],[f8594,f140]) ).

fof(f8874,plain,
    ! [X0] : tptp0(sF13,tptp0(X0,tptp0(sF9,sF1))) = tptp0(X0,tptp0(sF13,sF1)),
    inference(superposition,[],[f279,f8588]) ).

fof(f8875,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF13),tptp0(sF9,sF1))) = tptp0(tptp0(sF13,X0),tptp0(sF13,sF1)),
    inference(superposition,[],[f331,f8588]) ).

fof(f9196,plain,
    sF8 = tptp0(tptp2(sF8),tptp3),
    inference(superposition,[],[f4430,f42]) ).

fof(f9197,plain,
    sF9 = tptp0(tptp2(sF9),tptp3),
    inference(superposition,[],[f4430,f44]) ).

fof(f9327,plain,
    tptp0(tptp2(sF9),sF6) = tptp0(tptp2(tptp0(sF0,sF2)),sF9),
    inference(superposition,[],[f2491,f9197]) ).

fof(f9328,plain,
    tptp0(tptp2(sF9),sF6) = tptp1(tptp0(tptp0(sF9,sF6),sF6),tptp0(tptp0(tptp0(sF9,sF6),sF6),tptp0(tptp0(sF6,sF9),sF9))),
    inference(superposition,[],[f2500,f9197]) ).

fof(f9338,plain,
    ! [X0] : tptp0(X0,sF9) = tptp0(tptp2(tptp0(X0,tptp3)),sF9),
    inference(superposition,[],[f2705,f9197]) ).

fof(f9419,plain,
    tptp0(tptp2(sF8),sF6) = tptp0(tptp2(tptp0(sF0,sF2)),sF8),
    inference(superposition,[],[f2491,f9196]) ).

fof(f9420,plain,
    tptp0(tptp2(sF8),sF6) = tptp1(tptp0(tptp0(sF8,sF6),sF6),tptp0(tptp0(tptp0(sF8,sF6),sF6),tptp0(tptp0(sF6,sF8),sF8))),
    inference(superposition,[],[f2500,f9196]) ).

fof(f9422,plain,
    tptp0(tptp2(sF8),sF1) = tptp1(tptp0(tptp0(sF8,sF1),sF1),tptp0(tptp0(tptp0(sF8,sF1),sF1),tptp0(tptp0(sF1,sF8),sF8))),
    inference(superposition,[],[f2518,f9196]) ).

fof(f9428,plain,
    ! [X0] : tptp0(sF5,tptp0(X0,sF8)) = tptp0(X0,tptp0(tptp2(sF8),sF6)),
    inference(superposition,[],[f2653,f9196]) ).

fof(f9430,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(tptp2(tptp0(X0,tptp3)),sF8),
    inference(superposition,[],[f2705,f9196]) ).

fof(f9432,plain,
    tptp0(tptp2(sF8),sF3) = tptp1(tptp0(tptp0(sF8,sF3),sF3),tptp0(tptp0(sF3,sF8),tptp0(tptp2(sF8),tptp0(tptp0(tptp0(sF8,sF3),sF3),tptp3)))),
    inference(superposition,[],[f3501,f9196]) ).

fof(f9442,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(tptp2(sF8),tptp0(X0,tptp3)),
    inference(superposition,[],[f279,f9196]) ).

fof(f9444,plain,
    ! [X0] : tptp0(tptp3,tptp0(tptp0(tptp3,tptp2(sF8)),X0)) = tptp0(sF8,tptp0(tptp2(sF8),X0)),
    inference(superposition,[],[f331,f9196]) ).

fof(f9455,plain,
    ! [X0] : tptp5 = tptp0(sF8,tptp0(tptp2(sF8),X0)),
    inference(forward_demodulation,[],[f9444,f6]) ).

fof(f9465,plain,
    tptp0(tptp2(sF8),sF3) = tptp1(tptp0(tptp0(sF8,sF3),sF3),tptp0(tptp0(sF3,sF8),tptp0(tptp0(tptp0(sF8,sF3),sF3),sF8))),
    inference(forward_demodulation,[],[f9432,f9442]) ).

fof(f9466,plain,
    ! [X0] : tptp5 = tptp0(X0,tptp0(tptp2(sF8),sF6)),
    inference(forward_demodulation,[],[f9428,f8381]) ).

fof(f9472,plain,
    tptp0(tptp2(sF8),sF1) = tptp1(tptp0(tptp0(sF8,sF1),sF1),tptp0(tptp0(tptp0(sF8,sF1),sF1),tptp0(tptp5,sF8))),
    inference(forward_demodulation,[],[f9422,f2689]) ).

fof(f9474,plain,
    tptp0(tptp2(sF8),sF6) = tptp1(tptp0(tptp0(sF8,sF6),sF6),tptp0(tptp0(tptp0(sF8,sF6),sF6),tptp0(sF8,sF8))),
    inference(forward_demodulation,[],[f9420,f8263]) ).

fof(f9488,plain,
    tptp0(tptp2(sF8),sF3) = tptp1(tptp0(tptp0(sF8,sF3),sF3),tptp0(sF8,tptp0(tptp0(tptp0(sF8,sF3),sF3),sF8))),
    inference(forward_demodulation,[],[f9465,f8264]) ).

fof(f9491,plain,
    tptp0(tptp2(sF8),sF1) = tptp1(tptp0(tptp0(sF8,sF1),sF1),tptp0(tptp0(tptp0(sF8,sF1),sF1),sF8)),
    inference(forward_demodulation,[],[f9472,f973]) ).

fof(f9493,plain,
    tptp0(tptp2(sF8),sF6) = tptp1(tptp0(tptp0(sF8,sF6),sF6),tptp0(tptp0(tptp0(sF8,sF6),sF6),tptp5)),
    inference(forward_demodulation,[],[f9474,f1251]) ).

fof(f9501,plain,
    tptp0(tptp2(sF8),sF3) = tptp1(tptp0(tptp0(sF8,sF3),sF3),tptp5),
    inference(forward_demodulation,[],[f9488,f2528]) ).

fof(f9503,plain,
    tptp0(tptp2(sF8),sF1) = tptp1(tptp0(sF9,sF1),tptp0(tptp0(sF9,sF1),sF8)),
    inference(forward_demodulation,[],[f9491,f44]) ).

fof(f9505,plain,
    tptp0(tptp2(sF8),sF6) = tptp1(tptp0(tptp0(sF8,sF6),sF6),tptp5),
    inference(forward_demodulation,[],[f9493,f935]) ).

fof(f9510,plain,
    tptp0(tptp2(sF8),sF3) = tptp0(tptp0(sF8,sF3),sF3),
    inference(forward_demodulation,[],[f9501,f140]) ).

fof(f9513,plain,
    tptp0(tptp2(sF8),sF6) = tptp0(tptp0(sF8,sF6),sF6),
    inference(forward_demodulation,[],[f9505,f140]) ).

fof(f9613,plain,
    tptp5 = tptp0(tptp2(sF8),sF6),
    inference(superposition,[],[f4864,f9466]) ).

fof(f9640,plain,
    tptp5 = tptp0(tptp0(sF8,sF6),sF6),
    inference(backward_demodulation,[],[f9513,f9613]) ).

fof(f9642,plain,
    tptp5 = tptp0(tptp2(tptp0(sF0,sF2)),sF8),
    inference(backward_demodulation,[],[f9419,f9613]) ).

fof(f9788,plain,
    tptp1(sF6,tptp0(sF6,tptp0(sF8,sF6))) = tptp1(tptp0(sF8,sF6),tptp5),
    inference(superposition,[],[f3,f9640]) ).

fof(f9816,plain,
    tptp0(sF8,sF6) = tptp1(sF6,tptp0(sF6,tptp0(sF8,sF6))),
    inference(forward_demodulation,[],[f9788,f140]) ).

fof(f9833,plain,
    tptp1(sF6,tptp5) = tptp0(sF8,sF6),
    inference(forward_demodulation,[],[f9816,f2528]) ).

fof(f9843,plain,
    sF6 = tptp0(sF8,sF6),
    inference(forward_demodulation,[],[f9833,f140]) ).

fof(f10278,plain,
    ! [X0] : tptp0(sF2,tptp0(X0,sF8)) = tptp0(X0,tptp0(tptp2(sF8),sF3)),
    inference(superposition,[],[f3712,f9196]) ).

fof(f10283,plain,
    ! [X0] : tptp0(sF2,tptp0(X0,tptp3)) = tptp0(X0,tptp0(X0,sF3)),
    inference(superposition,[],[f3712,f990]) ).

fof(f10336,plain,
    tptp0(sF2,tptp0(sF13,tptp3)) = tptp0(sF13,tptp0(sF9,sF3)),
    inference(superposition,[],[f3712,f8590]) ).

fof(f10367,plain,
    tptp0(sF13,tptp0(sF9,sF3)) = tptp0(sF13,sF3),
    inference(forward_demodulation,[],[f10336,f2274]) ).

fof(f10418,plain,
    ! [X0] : tptp0(X0,sF3) = tptp0(X0,tptp0(X0,sF3)),
    inference(forward_demodulation,[],[f10283,f2274]) ).

fof(f10420,plain,
    ! [X0] : tptp5 = tptp0(X0,tptp0(tptp2(sF8),sF3)),
    inference(forward_demodulation,[],[f10278,f8352]) ).

fof(f10485,plain,
    ! [X0,X1] : tptp0(X1,tptp0(X0,sF3)) = tptp0(X0,tptp0(X1,tptp0(X0,sF3))),
    inference(superposition,[],[f279,f10418]) ).

fof(f10594,plain,
    tptp5 = tptp0(tptp2(sF8),sF3),
    inference(superposition,[],[f973,f10420]) ).

fof(f10645,plain,
    tptp5 = tptp0(tptp0(sF8,sF3),sF3),
    inference(backward_demodulation,[],[f9510,f10594]) ).

fof(f10719,plain,
    tptp1(sF3,tptp0(sF3,tptp0(sF8,sF3))) = tptp1(tptp0(sF8,sF3),tptp5),
    inference(superposition,[],[f3,f10645]) ).

fof(f10747,plain,
    tptp0(sF8,sF3) = tptp1(sF3,tptp0(sF3,tptp0(sF8,sF3))),
    inference(forward_demodulation,[],[f10719,f140]) ).

fof(f10763,plain,
    tptp1(sF3,tptp5) = tptp0(sF8,sF3),
    inference(forward_demodulation,[],[f10747,f2528]) ).

fof(f10773,plain,
    sF3 = tptp0(sF8,sF3),
    inference(forward_demodulation,[],[f10763,f140]) ).

fof(f10799,plain,
    ! [X0] : tptp0(X0,sF3) = tptp0(sF8,tptp0(X0,sF3)),
    inference(superposition,[],[f279,f10773]) ).

fof(f10926,plain,
    tptp0(sF1,sF3) = tptp0(sF9,sF3),
    inference(superposition,[],[f2957,f10773]) ).

fof(f10927,plain,
    tptp0(sF1,sF6) = tptp0(sF9,sF6),
    inference(superposition,[],[f2957,f9843]) ).

fof(f10929,plain,
    tptp0(sF1,sF10) = tptp0(sF9,sF10),
    inference(superposition,[],[f2957,f2676]) ).

fof(f10997,plain,
    tptp0(tptp2(sF9),sF6) = tptp1(tptp0(tptp0(sF1,sF6),sF6),tptp0(tptp0(tptp0(sF1,sF6),sF6),tptp0(tptp0(sF6,sF9),sF9))),
    inference(backward_demodulation,[],[f9328,f10927]) ).

fof(f11002,plain,
    tptp0(sF13,sF3) = tptp0(sF13,tptp0(sF1,sF3)),
    inference(backward_demodulation,[],[f10367,f10926]) ).

fof(f11031,plain,
    tptp0(sF13,sF10) = tptp0(sF12,tptp0(sF1,sF10)),
    inference(superposition,[],[f277,f10929]) ).

fof(f11072,plain,
    tptp0(sF13,sF3) = tptp0(sF12,tptp0(sF1,sF3)),
    inference(superposition,[],[f277,f10926]) ).

fof(f11077,plain,
    tptp1(sF3,tptp0(sF3,sF9)) = tptp1(sF9,tptp0(sF1,sF3)),
    inference(superposition,[],[f3,f10926]) ).

fof(f11084,plain,
    ! [X0] : tptp0(X0,tptp0(sF1,sF3)) = tptp0(sF9,tptp0(X0,sF3)),
    inference(superposition,[],[f279,f10926]) ).

fof(f11093,plain,
    tptp0(sF13,sF3) = tptp0(sF9,tptp0(sF13,sF3)),
    inference(backward_demodulation,[],[f11002,f11084]) ).

fof(f11120,plain,
    tptp0(sF1,tptp0(sF13,sF3)) = tptp0(sF8,tptp0(sF13,sF3)),
    inference(superposition,[],[f2715,f11093]) ).

fof(f11133,plain,
    tptp0(sF13,sF3) = tptp0(sF1,tptp0(sF13,sF3)),
    inference(forward_demodulation,[],[f11120,f10799]) ).

fof(f11270,plain,
    tptp0(sF0,sF8) = tptp0(tptp2(sF1),sF8),
    inference(superposition,[],[f9430,f28]) ).

fof(f11276,plain,
    ! [X0] : tptp0(tptp2(tptp0(tptp2(sF8),tptp0(X0,tptp3))),tptp3) = tptp0(tptp2(tptp0(X0,sF8)),tptp3),
    inference(superposition,[],[f128,f9430]) ).

fof(f11296,plain,
    ! [X0] : tptp0(X0,tptp0(tptp2(sF8),tptp3)) = tptp0(tptp2(tptp0(X0,sF8)),tptp3),
    inference(forward_demodulation,[],[f11276,f2708]) ).

fof(f11314,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(tptp2(tptp0(X0,sF8)),tptp3),
    inference(forward_demodulation,[],[f11296,f9196]) ).

fof(f11439,plain,
    ! [X0] : tptp0(tptp2(tptp0(tptp2(sF8),X0)),tptp3) = tptp0(tptp2(X0),sF8),
    inference(superposition,[],[f128,f11314]) ).

fof(f11480,plain,
    ! [X0,X1] : tptp0(tptp2(tptp0(X0,sF8)),tptp0(X1,tptp3)) = tptp0(X1,tptp0(X0,sF8)),
    inference(superposition,[],[f279,f11314]) ).

fof(f12074,plain,
    tptp0(sF5,sF9) = tptp0(tptp2(sF6),sF9),
    inference(superposition,[],[f9338,f38]) ).

fof(f12315,plain,
    ! [X0] : tptp0(X0,tptp0(sF13,sF1)) = tptp0(sF13,tptp0(X0,tptp0(sF12,sF1))),
    inference(superposition,[],[f279,f8447]) ).

fof(f12316,plain,
    ! [X0] : tptp0(tptp0(sF13,X0),tptp0(sF13,sF1)) = tptp0(X0,tptp0(tptp0(X0,sF13),tptp0(sF12,sF1))),
    inference(superposition,[],[f331,f8447]) ).

fof(f13347,plain,
    ! [X0] : tptp0(tptp0(sF8,sF11),tptp0(sF8,X0)) = tptp0(tptp1(sF11,sF8),X0),
    inference(superposition,[],[f139,f8287]) ).

fof(f13350,plain,
    ! [X0] : tptp0(sF11,tptp0(sF8,X0)) = tptp0(tptp0(sF8,sF11),tptp0(sF8,X0)),
    inference(forward_demodulation,[],[f13347,f4]) ).

fof(f15398,plain,
    tptp0(sF7,tptp0(sF1,sF3)) = tptp0(sF1,tptp0(sF10,tptp0(sF1,sF3))),
    inference(superposition,[],[f2929,f10926]) ).

fof(f15445,plain,
    tptp0(sF10,tptp0(sF1,sF3)) = tptp0(sF7,tptp0(sF1,sF3)),
    inference(forward_demodulation,[],[f15398,f10485]) ).

fof(f15460,plain,
    tptp5 = tptp0(sF10,tptp0(sF1,sF3)),
    inference(forward_demodulation,[],[f15445,f3604]) ).

fof(f15512,plain,
    tptp0(tptp2(tptp0(sF0,sF2)),sF9) = tptp0(tptp2(sF6),sF9),
    inference(superposition,[],[f9338,f1866]) ).

fof(f15546,plain,
    tptp0(sF5,sF9) = tptp0(tptp2(tptp0(sF0,sF2)),sF9),
    inference(forward_demodulation,[],[f15512,f12074]) ).

fof(f15583,plain,
    tptp0(sF5,sF9) = tptp0(tptp2(sF9),sF6),
    inference(backward_demodulation,[],[f9327,f15546]) ).

fof(f15608,plain,
    tptp0(sF5,sF9) = tptp1(tptp0(tptp0(sF1,sF6),sF6),tptp0(tptp0(tptp0(sF1,sF6),sF6),tptp0(tptp0(sF6,sF9),sF9))),
    inference(backward_demodulation,[],[f10997,f15583]) ).

fof(f16858,plain,
    tptp0(tptp0(sF0,sF5),sF1) = tptp0(sF5,tptp0(tptp5,sF1)),
    inference(superposition,[],[f6623,f3276]) ).

fof(f16940,plain,
    tptp0(sF5,sF1) = tptp0(tptp0(sF0,sF5),sF1),
    inference(forward_demodulation,[],[f16858,f973]) ).

fof(f16953,plain,
    tptp0(sF0,sF6) = tptp0(tptp0(sF0,sF5),sF1),
    inference(forward_demodulation,[],[f16940,f3164]) ).

fof(f16964,plain,
    tptp0(sF0,sF6) = tptp0(tptp0(sF0,sF5),tptp0(sF0,sF6)),
    inference(superposition,[],[f8225,f16953]) ).

fof(f16997,plain,
    tptp0(sF5,sF6) = tptp0(sF0,sF6),
    inference(forward_demodulation,[],[f16964,f7569]) ).

fof(f17010,plain,
    sF6 = tptp0(sF0,sF6),
    inference(forward_demodulation,[],[f16997,f1378]) ).

fof(f17018,plain,
    sF6 = tptp0(sF5,sF1),
    inference(backward_demodulation,[],[f3164,f17010]) ).

fof(f17052,plain,
    ! [X0] : tptp0(tptp0(sF5,X0),sF6) = tptp0(X0,tptp0(tptp0(X0,sF5),sF1)),
    inference(backward_demodulation,[],[f6642,f17010]) ).

fof(f17124,plain,
    tptp5 = tptp0(sF1,sF6),
    inference(superposition,[],[f2528,f17018]) ).

fof(f17162,plain,
    tptp0(sF5,sF9) = tptp1(tptp0(tptp5,sF6),tptp0(tptp0(tptp5,sF6),tptp0(tptp0(sF6,sF9),sF9))),
    inference(backward_demodulation,[],[f15608,f17124]) ).

fof(f17186,plain,
    tptp0(sF5,sF9) = tptp1(sF6,tptp0(sF6,tptp0(tptp0(sF6,sF9),sF9))),
    inference(forward_demodulation,[],[f17162,f973]) ).

fof(f17220,plain,
    tptp1(sF6,tptp5) = tptp0(sF5,sF9),
    inference(forward_demodulation,[],[f17186,f2354]) ).

fof(f17253,plain,
    sF6 = tptp0(sF5,sF9),
    inference(forward_demodulation,[],[f17220,f140]) ).

fof(f17973,plain,
    tptp0(sF13,tptp0(tptp0(sF9,sF5),sF1)) = tptp0(sF12,tptp0(tptp0(sF5,sF9),sF6)),
    inference(superposition,[],[f277,f17052]) ).

fof(f17982,plain,
    tptp0(sF13,tptp0(tptp0(sF9,sF5),sF1)) = tptp0(sF12,tptp0(sF6,sF6)),
    inference(forward_demodulation,[],[f17973,f17253]) ).

fof(f18010,plain,
    tptp0(sF12,tptp5) = tptp0(sF13,tptp0(tptp0(sF9,sF5),sF1)),
    inference(forward_demodulation,[],[f17982,f1251]) ).

fof(f18023,plain,
    tptp5 = tptp0(sF13,tptp0(tptp0(sF9,sF5),sF1)),
    inference(forward_demodulation,[],[f18010,f935]) ).

fof(f19719,plain,
    ! [X0] : tptp0(tptp2(tptp0(X0,sF1)),sF1) = tptp0(tptp2(tptp0(tptp2(sF1),tptp0(X0,tptp3))),sF1),
    inference(superposition,[],[f1563,f3792]) ).

fof(f19720,plain,
    ! [X0] : tptp0(tptp2(tptp0(X0,sF3)),sF1) = tptp0(tptp2(tptp0(tptp2(sF3),tptp0(X0,tptp3))),sF1),
    inference(superposition,[],[f1563,f3793]) ).

fof(f19926,plain,
    ! [X0] : tptp0(tptp2(sF3),tptp0(X0,sF1)) = tptp0(tptp2(tptp0(X0,sF3)),sF1),
    inference(forward_demodulation,[],[f19720,f4427]) ).

fof(f19927,plain,
    ! [X0] : tptp0(tptp2(sF1),tptp0(X0,sF1)) = tptp0(tptp2(tptp0(X0,sF1)),sF1),
    inference(forward_demodulation,[],[f19719,f4427]) ).

fof(f20045,plain,
    ! [X0] : tptp0(X0,tptp0(sF0,sF3)) = tptp0(tptp2(tptp0(X0,sF3)),sF1),
    inference(forward_demodulation,[],[f19926,f4377]) ).

fof(f20046,plain,
    ! [X0] : tptp0(X0,sF1) = tptp0(tptp2(tptp0(X0,sF1)),sF1),
    inference(forward_demodulation,[],[f19927,f3899]) ).

fof(f20353,plain,
    sF8 = tptp0(tptp2(sF8),sF1),
    inference(superposition,[],[f20046,f42]) ).

fof(f20408,plain,
    sF8 = tptp1(tptp0(sF9,sF1),tptp0(tptp0(sF9,sF1),sF8)),
    inference(backward_demodulation,[],[f9503,f20353]) ).

fof(f20422,plain,
    ! [X0] : tptp0(tptp2(sF8),tptp0(X0,tptp3)) = tptp0(tptp2(tptp0(tptp2(sF1),sF8)),tptp0(X0,tptp3)),
    inference(superposition,[],[f126,f20353]) ).

fof(f20470,plain,
    ! [X0] : tptp0(tptp2(sF8),tptp0(X0,tptp3)) = tptp0(X0,tptp0(tptp2(sF1),sF8)),
    inference(forward_demodulation,[],[f20422,f11480]) ).

fof(f20475,plain,
    ! [X0] : tptp0(tptp2(sF8),tptp0(X0,tptp3)) = tptp0(X0,tptp0(sF0,sF8)),
    inference(forward_demodulation,[],[f20470,f11270]) ).

fof(f20478,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(X0,tptp0(sF0,sF8)),
    inference(forward_demodulation,[],[f20475,f9442]) ).

fof(f20548,plain,
    tptp0(sF3,sF8) = tptp0(sF0,sF8),
    inference(superposition,[],[f8276,f20478]) ).

fof(f20576,plain,
    sF8 = tptp0(sF0,sF8),
    inference(forward_demodulation,[],[f20548,f8264]) ).

fof(f20975,plain,
    tptp5 = tptp0(tptp2(sF1),tptp0(sF13,sF3)),
    inference(superposition,[],[f3859,f11133]) ).

fof(f20977,plain,
    tptp5 = tptp0(tptp2(sF1),sF10),
    inference(superposition,[],[f3859,f46]) ).

fof(f21043,plain,
    tptp5 = tptp0(sF13,tptp0(sF0,sF3)),
    inference(forward_demodulation,[],[f20975,f3916]) ).

fof(f21062,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF10),tptp2(tptp2(sF1)))),tptp0(tptp2(tptp5),tptp3)),
    inference(superposition,[],[f141,f20977]) ).

fof(f21081,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF10),tptp2(tptp2(sF1)))),tptp0(tptp3,tptp3)),
    inference(forward_demodulation,[],[f21062,f2694]) ).

fof(f21090,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF10),tptp2(tptp2(sF1)))),tptp5),
    inference(forward_demodulation,[],[f21081,f6]) ).

fof(f21092,plain,
    tptp3 = tptp2(tptp0(tptp2(sF10),tptp2(tptp2(sF1)))),
    inference(forward_demodulation,[],[f21090,f140]) ).

fof(f21093,plain,
    tptp3 = tptp2(tptp0(tptp2(sF10),sF1)),
    inference(forward_demodulation,[],[f21092,f16]) ).

fof(f21108,plain,
    tptp2(tptp3) = tptp0(tptp2(sF10),sF1),
    inference(superposition,[],[f16,f21093]) ).

fof(f21194,plain,
    tptp5 = tptp0(tptp2(sF10),sF1),
    inference(forward_demodulation,[],[f21108,f2738]) ).

fof(f21592,plain,
    ! [X0] : tptp0(X0,tptp5) = tptp0(sF13,tptp0(X0,tptp0(sF0,sF3))),
    inference(superposition,[],[f279,f21043]) ).

fof(f21603,plain,
    ! [X0] : tptp5 = tptp0(sF13,tptp0(X0,tptp0(sF0,sF3))),
    inference(forward_demodulation,[],[f21592,f935]) ).

fof(f26589,plain,
    ! [X0,X1] : tptp1(tptp1(X1,X0),tptp0(X1,tptp5)) = tptp1(X0,tptp0(X0,tptp1(X1,X0))),
    inference(superposition,[],[f71,f1251]) ).

fof(f27217,plain,
    ! [X0,X1] : tptp1(tptp1(X1,X0),tptp5) = tptp1(X0,tptp0(X0,tptp1(X1,X0))),
    inference(forward_demodulation,[],[f26589,f935]) ).

fof(f27450,plain,
    ! [X0,X1] : tptp1(X1,X0) = tptp1(X0,tptp0(X0,tptp1(X1,X0))),
    inference(forward_demodulation,[],[f27217,f140]) ).

fof(f27568,plain,
    sF1 = tptp1(sF9,tptp0(sF9,sF1)),
    inference(superposition,[],[f27450,f2713]) ).

fof(f34738,plain,
    tptp0(sF0,tptp0(sF1,sF7)) = tptp0(tptp0(sF1,sF0),sF10),
    inference(superposition,[],[f6630,f1376]) ).

fof(f34740,plain,
    tptp0(tptp0(sF1,sF5),sF10) = tptp0(sF5,tptp0(sF6,sF7)),
    inference(superposition,[],[f6630,f17018]) ).

fof(f34800,plain,
    tptp0(sF7,tptp0(tptp0(sF3,sF1),sF7)) = tptp0(sF6,tptp0(tptp0(sF1,sF3),sF10)),
    inference(superposition,[],[f276,f6630]) ).

fof(f34818,plain,
    tptp0(tptp0(sF10,sF1),sF11) = tptp0(tptp0(sF1,sF10),sF10),
    inference(superposition,[],[f2289,f6630]) ).

fof(f34836,plain,
    tptp5 = tptp0(sF6,tptp0(tptp0(sF1,sF3),sF10)),
    inference(forward_demodulation,[],[f34800,f2528]) ).

fof(f34851,plain,
    tptp5 = tptp0(tptp0(sF1,sF5),sF10),
    inference(forward_demodulation,[],[f34740,f335]) ).

fof(f34853,plain,
    tptp5 = tptp0(tptp0(sF1,sF0),sF10),
    inference(forward_demodulation,[],[f34738,f243]) ).

fof(f34971,plain,
    tptp5 = tptp0(tptp0(tptp0(sF5,sF1),sF10),tptp0(tptp5,sF10)),
    inference(superposition,[],[f8,f34851]) ).

fof(f35022,plain,
    tptp5 = tptp0(tptp0(tptp0(sF5,sF1),sF10),sF10),
    inference(forward_demodulation,[],[f34971,f973]) ).

fof(f35034,plain,
    tptp5 = tptp0(tptp0(sF6,sF10),sF10),
    inference(forward_demodulation,[],[f35022,f17018]) ).

fof(f35048,plain,
    tptp1(sF10,tptp0(sF10,tptp0(sF6,sF10))) = tptp1(tptp0(sF6,sF10),tptp5),
    inference(superposition,[],[f3,f35034]) ).

fof(f35089,plain,
    tptp0(sF6,sF10) = tptp1(sF10,tptp0(sF10,tptp0(sF6,sF10))),
    inference(forward_demodulation,[],[f35048,f140]) ).

fof(f35108,plain,
    tptp1(sF10,tptp5) = tptp0(sF6,sF10),
    inference(forward_demodulation,[],[f35089,f2528]) ).

fof(f35121,plain,
    sF10 = tptp0(sF6,sF10),
    inference(forward_demodulation,[],[f35108,f140]) ).

fof(f35154,plain,
    ! [X0] : tptp0(X0,sF10) = tptp0(sF6,tptp0(X0,sF10)),
    inference(superposition,[],[f279,f35121]) ).

fof(f35177,plain,
    tptp5 = tptp0(tptp0(sF1,sF3),sF10),
    inference(backward_demodulation,[],[f34836,f35154]) ).

fof(f35238,plain,
    tptp5 = tptp0(tptp0(tptp0(sF0,sF1),sF10),tptp0(tptp5,sF10)),
    inference(superposition,[],[f8,f34853]) ).

fof(f35241,plain,
    tptp5 = tptp0(tptp5,tptp0(tptp0(tptp0(sF10,tptp0(sF0,sF1)),tptp0(tptp5,sF10)),sF10)),
    inference(superposition,[],[f307,f34853]) ).

fof(f35290,plain,
    tptp5 = tptp0(tptp0(tptp0(sF10,tptp0(sF0,sF1)),tptp0(tptp5,sF10)),sF10),
    inference(forward_demodulation,[],[f35241,f973]) ).

fof(f35293,plain,
    tptp5 = tptp0(tptp0(tptp0(sF0,sF1),sF10),sF10),
    inference(forward_demodulation,[],[f35238,f973]) ).

fof(f35304,plain,
    tptp5 = tptp0(tptp0(tptp0(sF10,tptp0(sF0,sF1)),sF10),sF10),
    inference(forward_demodulation,[],[f35290,f973]) ).

fof(f35305,plain,
    tptp5 = tptp0(tptp0(sF1,sF10),sF10),
    inference(forward_demodulation,[],[f35293,f1376]) ).

fof(f35309,plain,
    tptp5 = tptp0(tptp0(tptp0(sF10,sF1),sF10),sF10),
    inference(forward_demodulation,[],[f35304,f1376]) ).

fof(f35312,plain,
    tptp5 = tptp0(tptp0(sF10,sF1),sF11),
    inference(backward_demodulation,[],[f34818,f35305]) ).

fof(f35322,plain,
    tptp1(sF10,tptp0(sF10,tptp0(sF1,sF10))) = tptp1(tptp0(sF1,sF10),tptp5),
    inference(superposition,[],[f3,f35305]) ).

fof(f35363,plain,
    tptp0(sF1,sF10) = tptp1(sF10,tptp0(sF10,tptp0(sF1,sF10))),
    inference(forward_demodulation,[],[f35322,f140]) ).

fof(f35382,plain,
    tptp1(sF10,tptp5) = tptp0(sF1,sF10),
    inference(forward_demodulation,[],[f35363,f2528]) ).

fof(f35392,plain,
    sF10 = tptp0(sF1,sF10),
    inference(forward_demodulation,[],[f35382,f140]) ).

fof(f35420,plain,
    tptp0(sF12,sF10) = tptp0(sF13,sF10),
    inference(backward_demodulation,[],[f11031,f35392]) ).

fof(f35565,plain,
    tptp1(sF11,tptp0(sF11,tptp0(sF10,sF1))) = tptp1(tptp0(sF10,sF1),tptp5),
    inference(superposition,[],[f3,f35312]) ).

fof(f35577,plain,
    ! [X0] : tptp0(sF11,tptp0(tptp0(sF11,tptp0(sF10,sF1)),X0)) = tptp0(tptp5,tptp0(tptp0(sF10,sF1),X0)),
    inference(superposition,[],[f331,f35312]) ).

fof(f35594,plain,
    ! [X0] : tptp0(tptp0(sF10,sF1),X0) = tptp0(sF11,tptp0(tptp0(sF11,tptp0(sF10,sF1)),X0)),
    inference(forward_demodulation,[],[f35577,f973]) ).

fof(f35606,plain,
    tptp0(sF10,sF1) = tptp1(sF11,tptp0(sF11,tptp0(sF10,sF1))),
    inference(forward_demodulation,[],[f35565,f140]) ).

fof(f35619,plain,
    ! [X0] : tptp0(tptp0(sF10,sF1),X0) = tptp0(sF11,tptp0(tptp0(sF7,sF1),X0)),
    inference(forward_demodulation,[],[f35594,f3350]) ).

fof(f35628,plain,
    tptp0(sF10,sF1) = tptp1(sF11,tptp0(sF7,sF1)),
    inference(forward_demodulation,[],[f35606,f3350]) ).

fof(f35637,plain,
    ! [X0] : tptp0(sF11,tptp0(sF8,X0)) = tptp0(tptp0(sF10,sF1),X0),
    inference(forward_demodulation,[],[f35619,f42]) ).

fof(f35644,plain,
    tptp0(sF10,sF1) = tptp1(sF11,sF8),
    inference(forward_demodulation,[],[f35628,f42]) ).

fof(f35673,plain,
    tptp5 = tptp0(tptp0(sF11,tptp0(sF8,sF10)),sF10),
    inference(backward_demodulation,[],[f35309,f35637]) ).

fof(f35694,plain,
    tptp5 = tptp0(tptp0(sF11,sF10),sF10),
    inference(forward_demodulation,[],[f35673,f2676]) ).

fof(f35812,plain,
    tptp1(sF10,tptp0(sF10,tptp0(sF11,sF10))) = tptp1(tptp0(sF11,sF10),tptp5),
    inference(superposition,[],[f3,f35694]) ).

fof(f35853,plain,
    tptp0(sF11,sF10) = tptp1(sF10,tptp0(sF10,tptp0(sF11,sF10))),
    inference(forward_demodulation,[],[f35812,f140]) ).

fof(f35874,plain,
    tptp0(sF11,sF10) = tptp1(sF10,tptp0(sF7,sF10)),
    inference(forward_demodulation,[],[f35853,f2900]) ).

fof(f35887,plain,
    tptp1(sF10,tptp5) = tptp0(sF11,sF10),
    inference(forward_demodulation,[],[f35874,f2893]) ).

fof(f35895,plain,
    sF10 = tptp0(sF11,sF10),
    inference(forward_demodulation,[],[f35887,f140]) ).

fof(f36449,plain,
    tptp1(sF10,tptp0(sF10,tptp0(sF1,sF3))) = tptp1(tptp0(sF1,sF3),tptp5),
    inference(superposition,[],[f3,f35177]) ).

fof(f36490,plain,
    tptp0(sF1,sF3) = tptp1(sF10,tptp0(sF10,tptp0(sF1,sF3))),
    inference(forward_demodulation,[],[f36449,f140]) ).

fof(f36509,plain,
    tptp0(sF1,sF3) = tptp1(sF10,tptp5),
    inference(forward_demodulation,[],[f36490,f15460]) ).

fof(f36519,plain,
    sF10 = tptp0(sF1,sF3),
    inference(forward_demodulation,[],[f36509,f140]) ).

fof(f36562,plain,
    tptp0(sF12,sF10) = tptp0(sF13,sF3),
    inference(backward_demodulation,[],[f11072,f36519]) ).

fof(f36564,plain,
    tptp1(sF3,tptp0(sF3,sF9)) = tptp1(sF9,sF10),
    inference(backward_demodulation,[],[f11077,f36519]) ).

fof(f36658,plain,
    sF10 = tptp0(tptp2(sF10),tptp3),
    inference(superposition,[],[f4602,f36519]) ).

fof(f36807,plain,
    tptp1(sF13,tptp0(sF12,sF10)) = tptp1(sF3,tptp0(sF3,sF13)),
    inference(superposition,[],[f3,f36562]) ).

fof(f36882,plain,
    tptp0(tptp2(sF10),sF1) = tptp1(tptp0(tptp0(sF10,sF1),sF1),tptp0(tptp2(sF10),tptp0(tptp0(sF1,sF10),tptp0(tptp0(tptp0(sF10,sF1),sF1),tptp3)))),
    inference(superposition,[],[f2564,f36658]) ).

fof(f36901,plain,
    ! [X0] : tptp0(tptp2(sF10),tptp0(sF10,X0)) = tptp0(tptp3,tptp0(tptp0(tptp3,tptp2(sF10)),X0)),
    inference(superposition,[],[f81,f36658]) ).

fof(f36931,plain,
    ! [X0] : tptp5 = tptp0(tptp2(sF10),tptp0(sF10,X0)),
    inference(forward_demodulation,[],[f36901,f6]) ).

fof(f36948,plain,
    tptp0(tptp2(sF10),sF1) = tptp1(tptp0(tptp1(sF11,sF8),sF1),tptp0(tptp2(sF10),tptp0(tptp0(sF1,sF10),tptp0(tptp0(tptp1(sF11,sF8),sF1),tptp3)))),
    inference(forward_demodulation,[],[f36882,f35644]) ).

fof(f36992,plain,
    tptp0(tptp2(sF10),sF1) = tptp1(tptp0(sF11,tptp0(sF8,sF1)),tptp0(tptp2(sF10),tptp0(tptp0(sF1,sF10),tptp0(tptp0(sF11,tptp0(sF8,sF1)),tptp3)))),
    inference(forward_demodulation,[],[f36948,f4]) ).

fof(f37010,plain,
    tptp0(tptp2(sF10),sF1) = tptp1(tptp0(sF11,sF9),tptp0(tptp2(sF10),tptp0(tptp0(sF1,sF10),tptp0(tptp0(sF11,sF9),tptp3)))),
    inference(forward_demodulation,[],[f36992,f44]) ).

fof(f37022,plain,
    tptp0(tptp2(sF10),sF1) = tptp1(tptp0(sF11,sF9),tptp0(tptp2(sF10),tptp0(sF10,tptp0(tptp0(sF11,sF9),tptp3)))),
    inference(forward_demodulation,[],[f37010,f35392]) ).

fof(f37028,plain,
    tptp0(tptp2(sF10),sF1) = tptp1(tptp0(sF11,sF9),tptp5),
    inference(forward_demodulation,[],[f37022,f36931]) ).

fof(f37033,plain,
    tptp0(sF11,sF9) = tptp0(tptp2(sF10),sF1),
    inference(forward_demodulation,[],[f37028,f140]) ).

fof(f37038,plain,
    tptp5 = tptp0(sF11,sF9),
    inference(forward_demodulation,[],[f37033,f21194]) ).

fof(f37045,plain,
    ! [X0] : tptp0(sF13,X0) = tptp0(sF11,tptp0(tptp5,X0)),
    inference(backward_demodulation,[],[f6794,f37038]) ).

fof(f37066,plain,
    ! [X0] : tptp0(sF13,X0) = tptp0(sF11,X0),
    inference(forward_demodulation,[],[f37045,f973]) ).

fof(f37074,plain,
    ! [X0] : tptp0(sF9,tptp0(sF12,X0)) = tptp0(sF11,X0),
    inference(backward_demodulation,[],[f61,f37066]) ).

fof(f37075,plain,
    ! [X0] : tptp0(sF11,X0) = tptp0(sF12,tptp0(sF9,X0)),
    inference(backward_demodulation,[],[f277,f37066]) ).

fof(f37082,plain,
    ! [X0] : tptp0(sF1,tptp0(sF12,X0)) = tptp0(sF8,tptp0(sF11,X0)),
    inference(backward_demodulation,[],[f2921,f37066]) ).

fof(f37102,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF13),tptp0(sF9,sF1))) = tptp0(tptp0(sF11,X0),tptp0(sF13,sF1)),
    inference(backward_demodulation,[],[f8875,f37066]) ).

fof(f37103,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF13),tptp0(sF12,sF1))) = tptp0(tptp0(sF11,X0),tptp0(sF13,sF1)),
    inference(backward_demodulation,[],[f12316,f37066]) ).

fof(f37139,plain,
    ! [X0] : tptp0(X0,tptp0(sF13,sF1)) = tptp0(sF11,tptp0(X0,tptp0(sF9,sF1))),
    inference(backward_demodulation,[],[f8874,f37066]) ).

fof(f37140,plain,
    ! [X0] : tptp0(X0,tptp0(sF13,sF1)) = tptp0(sF11,tptp0(X0,tptp0(sF12,sF1))),
    inference(backward_demodulation,[],[f12315,f37066]) ).

fof(f37141,plain,
    ! [X0] : tptp5 = tptp0(sF11,tptp0(X0,tptp0(sF0,sF3))),
    inference(backward_demodulation,[],[f21603,f37066]) ).

fof(f37168,plain,
    tptp5 = tptp0(sF11,tptp0(tptp0(sF9,sF5),sF1)),
    inference(backward_demodulation,[],[f18023,f37066]) ).

fof(f37179,plain,
    tptp0(sF13,sF1) = tptp0(sF11,tptp0(sF9,sF1)),
    inference(backward_demodulation,[],[f8588,f37066]) ).

fof(f37243,plain,
    tptp0(sF12,sF10) = tptp0(sF11,sF3),
    inference(backward_demodulation,[],[f36562,f37066]) ).

fof(f37249,plain,
    tptp0(sF11,sF10) = tptp0(sF12,sF10),
    inference(backward_demodulation,[],[f35420,f37066]) ).

fof(f37255,plain,
    sF10 = tptp0(sF12,sF10),
    inference(forward_demodulation,[],[f37249,f35895]) ).

fof(f37327,plain,
    tptp1(sF3,tptp0(sF3,sF13)) = tptp1(sF13,tptp0(sF11,sF3)),
    inference(backward_demodulation,[],[f36807,f37243]) ).

fof(f37345,plain,
    tptp0(sF11,sF1) = tptp0(sF11,tptp0(sF9,sF1)),
    inference(forward_demodulation,[],[f37179,f37066]) ).

fof(f37357,plain,
    ! [X0] : tptp0(X0,tptp0(sF11,sF1)) = tptp0(sF11,tptp0(X0,tptp0(sF12,sF1))),
    inference(forward_demodulation,[],[f37140,f37066]) ).

fof(f37358,plain,
    ! [X0] : tptp0(X0,tptp0(sF11,sF1)) = tptp0(sF11,tptp0(X0,tptp0(sF9,sF1))),
    inference(forward_demodulation,[],[f37139,f37066]) ).

fof(f37365,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF13),tptp0(sF12,sF1))) = tptp0(tptp0(sF11,X0),tptp0(sF11,sF1)),
    inference(forward_demodulation,[],[f37103,f37066]) ).

fof(f37366,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF13),tptp0(sF9,sF1))) = tptp0(tptp0(sF11,X0),tptp0(sF11,sF1)),
    inference(forward_demodulation,[],[f37102,f37066]) ).

fof(f37414,plain,
    sF10 = tptp0(sF11,sF3),
    inference(backward_demodulation,[],[f37243,f37255]) ).

fof(f37499,plain,
    tptp1(sF3,tptp0(sF3,sF13)) = tptp1(sF13,sF10),
    inference(backward_demodulation,[],[f37327,f37414]) ).

fof(f37586,plain,
    tptp5 = tptp0(sF11,sF13),
    inference(superposition,[],[f1251,f37066]) ).

fof(f37864,plain,
    sF13 = tptp1(sF11,tptp5),
    inference(backward_demodulation,[],[f8620,f37586]) ).

fof(f37928,plain,
    sF11 = sF13,
    inference(forward_demodulation,[],[f37864,f140]) ).

fof(f37950,plain,
    sF1 != sF11,
    inference(backward_demodulation,[],[f53,f37928]) ).

fof(f38068,plain,
    ! [X0] : tptp0(tptp0(sF11,X0),tptp0(sF11,sF1)) = tptp0(X0,tptp0(tptp0(X0,sF11),tptp0(sF12,sF1))),
    inference(backward_demodulation,[],[f37365,f37928]) ).

fof(f38069,plain,
    ! [X0] : tptp0(tptp0(sF11,X0),tptp0(sF11,sF1)) = tptp0(X0,tptp0(tptp0(X0,sF11),tptp0(sF9,sF1))),
    inference(backward_demodulation,[],[f37366,f37928]) ).

fof(f38099,plain,
    tptp1(sF11,sF10) = tptp1(sF3,tptp0(sF3,sF11)),
    inference(backward_demodulation,[],[f37499,f37928]) ).

fof(f38898,plain,
    tptp0(sF10,tptp0(sF11,sF1)) = tptp0(sF7,tptp0(sF9,sF1)),
    inference(superposition,[],[f2900,f37345]) ).

fof(f38925,plain,
    tptp0(sF9,sF8) = tptp0(sF10,tptp0(sF11,sF1)),
    inference(forward_demodulation,[],[f38898,f2281]) ).

fof(f38927,plain,
    tptp0(sF7,sF1) = tptp0(sF9,sF8),
    inference(forward_demodulation,[],[f38925,f2900]) ).

fof(f38928,plain,
    sF8 = tptp0(sF9,sF8),
    inference(forward_demodulation,[],[f38927,f42]) ).

fof(f38941,plain,
    tptp0(sF12,sF8) = tptp0(sF11,sF8),
    inference(superposition,[],[f37075,f38928]) ).

fof(f38962,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(sF9,tptp0(X0,sF8)),
    inference(superposition,[],[f279,f38928]) ).

fof(f38993,plain,
    sF8 = tptp0(sF12,sF8),
    inference(forward_demodulation,[],[f38941,f8262]) ).

fof(f38996,plain,
    ! [X0] : tptp0(sF8,X0) = tptp0(sF12,tptp0(sF8,X0)),
    inference(backward_demodulation,[],[f6795,f38993]) ).

fof(f39019,plain,
    ! [X0] : tptp0(sF8,tptp0(tptp0(sF8,sF12),X0)) = tptp0(sF8,tptp0(sF12,X0)),
    inference(superposition,[],[f331,f38993]) ).

fof(f39036,plain,
    ! [X0] : tptp0(sF8,tptp0(tptp5,X0)) = tptp0(sF8,tptp0(sF12,X0)),
    inference(forward_demodulation,[],[f39019,f2939]) ).

fof(f39051,plain,
    ! [X0] : tptp0(sF8,X0) = tptp0(sF8,tptp0(sF12,X0)),
    inference(forward_demodulation,[],[f39036,f973]) ).

fof(f39090,plain,
    ! [X0] : tptp0(sF1,X0) = tptp0(sF12,tptp0(sF1,X0)),
    inference(superposition,[],[f38996,f2715]) ).

fof(f39095,plain,
    sF3 = tptp0(sF12,sF3),
    inference(superposition,[],[f38996,f10773]) ).

fof(f39128,plain,
    ! [X0] : tptp0(sF9,tptp0(sF8,X0)) = tptp0(sF11,tptp0(sF8,X0)),
    inference(superposition,[],[f37074,f38996]) ).

fof(f39164,plain,
    ! [X0] : tptp0(sF1,X0) = tptp0(sF11,tptp0(sF8,X0)),
    inference(forward_demodulation,[],[f39128,f2957]) ).

fof(f39184,plain,
    ! [X0] : tptp0(sF1,X0) = tptp0(tptp0(sF8,sF11),tptp0(sF8,X0)),
    inference(backward_demodulation,[],[f13350,f39164]) ).

fof(f39304,plain,
    ! [X0] : tptp0(sF3,tptp0(tptp0(sF3,sF12),X0)) = tptp0(sF3,tptp0(sF12,X0)),
    inference(superposition,[],[f331,f39095]) ).

fof(f39377,plain,
    ! [X0] : tptp0(sF1,X0) = tptp0(sF1,tptp0(sF12,X0)),
    inference(superposition,[],[f279,f39090]) ).

fof(f39405,plain,
    ! [X0] : tptp0(sF1,X0) = tptp0(sF8,tptp0(sF11,X0)),
    inference(backward_demodulation,[],[f37082,f39377]) ).

fof(f39447,plain,
    tptp0(sF8,tptp5) = tptp0(sF1,tptp0(tptp0(sF8,sF7),sF7)),
    inference(superposition,[],[f39405,f230]) ).

fof(f39549,plain,
    tptp0(sF8,tptp5) = tptp0(tptp0(sF8,sF7),sF10),
    inference(forward_demodulation,[],[f39447,f2271]) ).

fof(f39561,plain,
    tptp5 = tptp0(tptp0(sF8,sF7),sF10),
    inference(forward_demodulation,[],[f39549,f935]) ).

fof(f39575,plain,
    tptp1(sF10,tptp0(sF10,tptp0(sF8,sF7))) = tptp1(tptp0(sF8,sF7),tptp5),
    inference(superposition,[],[f3,f39561]) ).

fof(f39616,plain,
    tptp0(sF8,sF7) = tptp1(sF10,tptp0(sF10,tptp0(sF8,sF7))),
    inference(forward_demodulation,[],[f39575,f140]) ).

fof(f39637,plain,
    tptp0(sF8,sF7) = tptp1(sF10,tptp0(sF8,sF11)),
    inference(forward_demodulation,[],[f39616,f2289]) ).

fof(f39839,plain,
    tptp0(sF8,tptp5) = tptp0(sF8,tptp0(tptp0(sF12,sF1),sF9)),
    inference(superposition,[],[f39051,f4336]) ).

fof(f39889,plain,
    tptp0(sF8,tptp5) = tptp0(tptp0(sF12,sF1),sF9),
    inference(forward_demodulation,[],[f39839,f8489]) ).

fof(f39900,plain,
    tptp5 = tptp0(tptp0(sF12,sF1),sF9),
    inference(forward_demodulation,[],[f39889,f935]) ).

fof(f39924,plain,
    tptp1(sF9,tptp0(sF9,tptp0(sF12,sF1))) = tptp1(tptp0(sF12,sF1),tptp5),
    inference(superposition,[],[f3,f39900]) ).

fof(f39965,plain,
    tptp0(sF12,sF1) = tptp1(sF9,tptp0(sF9,tptp0(sF12,sF1))),
    inference(forward_demodulation,[],[f39924,f140]) ).

fof(f39990,plain,
    tptp0(sF12,sF1) = tptp1(sF9,tptp0(sF11,sF1)),
    inference(forward_demodulation,[],[f39965,f37074]) ).

fof(f40343,plain,
    tptp0(sF8,sF7) = tptp1(tptp0(sF8,sF11),tptp0(tptp0(sF8,sF11),tptp0(sF8,sF7))),
    inference(superposition,[],[f27450,f39637]) ).

fof(f40344,plain,
    tptp0(sF8,sF7) = tptp1(tptp0(sF8,sF11),tptp0(sF1,sF7)),
    inference(forward_demodulation,[],[f40343,f39184]) ).

fof(f40348,plain,
    tptp0(sF8,sF7) = tptp1(tptp0(sF8,sF11),sF10),
    inference(forward_demodulation,[],[f40344,f46]) ).

fof(f41702,plain,
    tptp0(sF1,sF8) = tptp0(tptp0(sF9,sF1),sF8),
    inference(superposition,[],[f6811,f38962]) ).

fof(f41741,plain,
    tptp5 = tptp0(tptp0(sF9,sF1),sF8),
    inference(forward_demodulation,[],[f41702,f2689]) ).

fof(f41746,plain,
    sF8 = tptp1(tptp0(sF9,sF1),tptp5),
    inference(backward_demodulation,[],[f20408,f41741]) ).

fof(f41747,plain,
    sF8 = tptp0(sF9,sF1),
    inference(forward_demodulation,[],[f41746,f140]) ).

fof(f41780,plain,
    sF1 = tptp1(sF9,sF8),
    inference(backward_demodulation,[],[f27568,f41747]) ).

fof(f41790,plain,
    tptp0(sF11,sF1) = tptp0(sF11,sF8),
    inference(backward_demodulation,[],[f37345,f41747]) ).

fof(f41791,plain,
    ! [X0] : tptp0(sF11,tptp0(X0,sF8)) = tptp0(X0,tptp0(sF11,sF1)),
    inference(backward_demodulation,[],[f37358,f41747]) ).

fof(f41803,plain,
    ! [X0] : tptp0(X0,tptp0(tptp0(X0,sF11),sF8)) = tptp0(tptp0(sF11,X0),tptp0(sF11,sF1)),
    inference(backward_demodulation,[],[f38069,f41747]) ).

fof(f41808,plain,
    ! [X0] : tptp0(tptp0(sF11,X0),sF8) = tptp0(tptp0(sF11,X0),tptp0(sF11,sF1)),
    inference(forward_demodulation,[],[f41803,f8296]) ).

fof(f41809,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(X0,tptp0(sF11,sF1)),
    inference(forward_demodulation,[],[f41791,f8294]) ).

fof(f41810,plain,
    sF8 = tptp0(sF11,sF1),
    inference(forward_demodulation,[],[f41790,f8262]) ).

fof(f41816,plain,
    ! [X0] : tptp0(tptp0(sF11,X0),sF8) = tptp0(X0,tptp0(tptp0(X0,sF11),tptp0(sF12,sF1))),
    inference(backward_demodulation,[],[f38068,f41808]) ).

fof(f41820,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(sF11,tptp0(X0,tptp0(sF12,sF1))),
    inference(backward_demodulation,[],[f37357,f41809]) ).

fof(f41849,plain,
    tptp1(sF9,sF8) = tptp0(sF12,sF1),
    inference(backward_demodulation,[],[f39990,f41810]) ).

fof(f41868,plain,
    sF1 = tptp0(sF12,sF1),
    inference(forward_demodulation,[],[f41849,f41780]) ).

fof(f41891,plain,
    ! [X0] : tptp0(tptp0(sF11,X0),sF8) = tptp0(X0,tptp0(tptp0(X0,sF11),sF1)),
    inference(backward_demodulation,[],[f41816,f41868]) ).

fof(f41893,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(sF11,tptp0(X0,sF1)),
    inference(backward_demodulation,[],[f41820,f41868]) ).

fof(f41919,plain,
    tptp5 = tptp0(tptp0(sF9,sF5),sF8),
    inference(backward_demodulation,[],[f37168,f41893]) ).

fof(f42730,plain,
    tptp0(sF8,tptp0(tptp0(sF12,sF11),sF1)) = tptp0(sF8,tptp0(tptp0(sF11,sF12),sF8)),
    inference(superposition,[],[f39051,f41891]) ).

fof(f42733,plain,
    tptp5 = tptp0(sF8,tptp0(tptp0(sF12,sF11),sF1)),
    inference(forward_demodulation,[],[f42730,f2528]) ).

fof(f42779,plain,
    tptp5 = tptp0(tptp0(sF12,sF11),sF9),
    inference(forward_demodulation,[],[f42733,f2285]) ).

fof(f43112,plain,
    tptp1(sF9,tptp0(sF9,tptp0(sF12,sF11))) = tptp1(tptp0(sF12,sF11),tptp5),
    inference(superposition,[],[f3,f42779]) ).

fof(f43153,plain,
    tptp0(sF12,sF11) = tptp1(sF9,tptp0(sF9,tptp0(sF12,sF11))),
    inference(forward_demodulation,[],[f43112,f140]) ).

fof(f43178,plain,
    tptp0(sF12,sF11) = tptp1(sF9,tptp0(sF11,sF11)),
    inference(forward_demodulation,[],[f43153,f37074]) ).

fof(f43194,plain,
    tptp0(sF12,sF11) = tptp1(sF9,tptp5),
    inference(forward_demodulation,[],[f43178,f1251]) ).

fof(f43205,plain,
    sF9 = tptp0(sF12,sF11),
    inference(forward_demodulation,[],[f43194,f140]) ).

fof(f43271,plain,
    tptp0(sF8,sF11) = tptp0(sF8,sF9),
    inference(superposition,[],[f39051,f43205]) ).

fof(f43319,plain,
    sF9 = tptp0(sF8,sF11),
    inference(forward_demodulation,[],[f43271,f8406]) ).

fof(f43349,plain,
    tptp0(sF8,sF7) = tptp1(sF9,sF10),
    inference(backward_demodulation,[],[f40348,f43319]) ).

fof(f43424,plain,
    tptp0(sF8,sF11) = tptp0(sF10,tptp1(sF9,sF10)),
    inference(superposition,[],[f2289,f43349]) ).

fof(f43500,plain,
    sF9 = tptp0(sF10,tptp1(sF9,sF10)),
    inference(forward_demodulation,[],[f43424,f43319]) ).

fof(f44201,plain,
    ! [X0] : tptp0(tptp2(tptp0(X0,sF3)),sF8) = tptp0(sF11,tptp0(X0,tptp0(sF0,sF3))),
    inference(superposition,[],[f41893,f20045]) ).

fof(f44302,plain,
    ! [X0] : tptp5 = tptp0(tptp2(tptp0(X0,sF3)),sF8),
    inference(forward_demodulation,[],[f44201,f37141]) ).

fof(f57296,plain,
    tptp5 = tptp0(tptp0(sF9,sF5),tptp0(tptp5,sF12)),
    inference(superposition,[],[f6763,f41919]) ).

fof(f57489,plain,
    tptp5 = tptp0(tptp0(sF9,sF5),sF12),
    inference(forward_demodulation,[],[f57296,f973]) ).

fof(f57825,plain,
    tptp5 = tptp0(tptp0(tptp0(sF5,sF9),sF12),tptp0(tptp5,sF12)),
    inference(superposition,[],[f8,f57489]) ).

fof(f57884,plain,
    tptp5 = tptp0(tptp0(tptp0(sF5,sF9),sF12),sF12),
    inference(forward_demodulation,[],[f57825,f973]) ).

fof(f57903,plain,
    tptp5 = tptp0(tptp0(sF6,sF12),sF12),
    inference(forward_demodulation,[],[f57884,f17253]) ).

fof(f57923,plain,
    tptp1(sF12,tptp0(sF12,tptp0(sF6,sF12))) = tptp1(tptp0(sF6,sF12),tptp5),
    inference(superposition,[],[f3,f57903]) ).

fof(f57964,plain,
    tptp0(sF6,sF12) = tptp1(sF12,tptp0(sF12,tptp0(sF6,sF12))),
    inference(forward_demodulation,[],[f57923,f140]) ).

fof(f57984,plain,
    tptp1(sF12,tptp5) = tptp0(sF6,sF12),
    inference(forward_demodulation,[],[f57964,f2528]) ).

fof(f57998,plain,
    sF12 = tptp0(sF6,sF12),
    inference(forward_demodulation,[],[f57984,f140]) ).

fof(f58043,plain,
    tptp0(sF7,sF12) = tptp0(sF3,sF12),
    inference(superposition,[],[f62,f57998]) ).

fof(f58075,plain,
    tptp5 = tptp0(sF3,sF12),
    inference(forward_demodulation,[],[f58043,f3228]) ).

fof(f58084,plain,
    ! [X0] : tptp0(sF3,tptp0(tptp5,X0)) = tptp0(sF3,tptp0(sF12,X0)),
    inference(backward_demodulation,[],[f39304,f58075]) ).

fof(f58110,plain,
    ! [X0] : tptp0(sF3,X0) = tptp0(sF3,tptp0(sF12,X0)),
    inference(forward_demodulation,[],[f58084,f973]) ).

fof(f58509,plain,
    tptp0(sF3,sF9) = tptp0(sF3,sF11),
    inference(superposition,[],[f58110,f43205]) ).

fof(f58603,plain,
    tptp1(sF11,sF10) = tptp1(sF3,tptp0(sF3,sF9)),
    inference(backward_demodulation,[],[f38099,f58509]) ).

fof(f58636,plain,
    tptp1(sF11,sF10) = tptp1(sF9,sF10),
    inference(forward_demodulation,[],[f58603,f36564]) ).

fof(f58703,plain,
    tptp1(sF10,sF11) = tptp1(sF9,sF10),
    inference(superposition,[],[f1,f58636]) ).

fof(f58714,plain,
    sF7 = tptp1(sF9,sF10),
    inference(forward_demodulation,[],[f58703,f2898]) ).

fof(f58758,plain,
    sF9 = tptp0(sF10,sF7),
    inference(backward_demodulation,[],[f43500,f58714]) ).

fof(f58861,plain,
    sF9 = sF11,
    inference(backward_demodulation,[],[f48,f58758]) ).

fof(f59365,plain,
    sF1 != sF9,
    inference(backward_demodulation,[],[f37950,f58861]) ).

fof(f103221,plain,
    ! [X0] : tptp0(tptp0(sF2,X0),sF3) = tptp0(X0,tptp0(tptp0(sF2,X0),sF3)),
    inference(superposition,[],[f2576,f6635]) ).

fof(f103296,plain,
    tptp0(tptp2(tptp0(tptp0(tptp2(sF8),sF2),tptp3)),sF8) = tptp0(tptp2(tptp0(tptp0(sF2,tptp2(sF8)),sF3)),tptp3),
    inference(superposition,[],[f11439,f6635]) ).

fof(f103437,plain,
    tptp0(tptp0(sF2,tptp2(sF8)),sF3) = tptp0(tptp2(tptp0(tptp0(tptp2(sF8),sF2),tptp3)),sF8),
    inference(forward_demodulation,[],[f103296,f4602]) ).

fof(f103518,plain,
    tptp0(tptp0(sF2,tptp2(sF8)),sF3) = tptp0(tptp0(tptp2(sF8),sF2),sF8),
    inference(forward_demodulation,[],[f103437,f9430]) ).

fof(f103678,plain,
    tptp0(tptp2(tptp0(tptp0(sF2,tptp2(sF8)),sF3)),tptp3) = tptp0(tptp2(tptp0(tptp0(sF2,tptp2(sF8)),sF3)),sF8),
    inference(superposition,[],[f11439,f103221]) ).

fof(f103777,plain,
    tptp5 = tptp0(tptp2(tptp0(tptp0(sF2,tptp2(sF8)),sF3)),tptp3),
    inference(forward_demodulation,[],[f103678,f44302]) ).

fof(f103845,plain,
    tptp5 = tptp0(tptp0(sF2,tptp2(sF8)),sF3),
    inference(forward_demodulation,[],[f103777,f4602]) ).

fof(f103926,plain,
    tptp5 = tptp0(tptp0(tptp2(sF8),sF2),sF8),
    inference(backward_demodulation,[],[f103518,f103845]) ).

fof(f110966,plain,
    tptp1(sF8,tptp0(sF8,tptp0(tptp2(sF8),sF2))) = tptp1(tptp0(tptp2(sF8),sF2),tptp5),
    inference(superposition,[],[f3,f103926]) ).

fof(f111009,plain,
    tptp0(tptp2(sF8),sF2) = tptp1(sF8,tptp0(sF8,tptp0(tptp2(sF8),sF2))),
    inference(forward_demodulation,[],[f110966,f140]) ).

fof(f111041,plain,
    tptp1(sF8,tptp5) = tptp0(tptp2(sF8),sF2),
    inference(forward_demodulation,[],[f111009,f9455]) ).

fof(f111054,plain,
    sF8 = tptp0(tptp2(sF8),sF2),
    inference(forward_demodulation,[],[f111041,f140]) ).

fof(f111093,plain,
    ! [X0] : tptp0(X0,sF8) = tptp0(tptp2(sF8),tptp0(X0,sF2)),
    inference(superposition,[],[f279,f111054]) ).

fof(f120385,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF8),tptp2(tptp2(tptp0(sF0,sF2))))),tptp0(tptp2(tptp5),tptp3)),
    inference(superposition,[],[f141,f9642]) ).

fof(f120415,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF8),tptp2(tptp2(tptp0(sF0,sF2))))),tptp0(tptp3,tptp3)),
    inference(forward_demodulation,[],[f120385,f2694]) ).

fof(f120447,plain,
    tptp3 = tptp1(tptp2(tptp0(tptp2(sF8),tptp2(tptp2(tptp0(sF0,sF2))))),tptp5),
    inference(forward_demodulation,[],[f120415,f6]) ).

fof(f120463,plain,
    tptp3 = tptp2(tptp0(tptp2(sF8),tptp2(tptp2(tptp0(sF0,sF2))))),
    inference(forward_demodulation,[],[f120447,f140]) ).

fof(f120470,plain,
    tptp3 = tptp2(tptp0(tptp2(sF8),tptp0(sF0,sF2))),
    inference(forward_demodulation,[],[f120463,f16]) ).

fof(f120473,plain,
    tptp3 = tptp2(tptp0(sF0,sF8)),
    inference(forward_demodulation,[],[f120470,f111093]) ).

fof(f120474,plain,
    tptp3 = tptp2(sF8),
    inference(forward_demodulation,[],[f120473,f20576]) ).

fof(f120726,plain,
    sF8 = tptp0(tptp3,sF2),
    inference(backward_demodulation,[],[f111054,f120474]) ).

fof(f120764,plain,
    tptp5 = sF8,
    inference(forward_demodulation,[],[f120726,f6]) ).

fof(f122040,plain,
    sF1 = tptp1(sF9,tptp5),
    inference(backward_demodulation,[],[f41780,f120764]) ).

fof(f124063,plain,
    sF1 = sF9,
    inference(forward_demodulation,[],[f122040,f140]) ).

fof(f125577,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f124063,f59365]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG246-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n009.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 19:58:45 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 134.24/19.59  % (3399960)Detected a unit-equality problem, will run specialized UEQ schedule.
% 134.24/19.59  % (3400032)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3727774258:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 134.24/19.59  % (3400026)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=992078152:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 134.24/19.59  % (3400025)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3089639453:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 134.24/19.59  % (3400028)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3561985672:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 134.24/19.59  % (3400031)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1304142897:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 134.24/19.59  % (3400030)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2475945549:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 134.24/19.59  % (3400027)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=606335126:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 134.24/19.59  % (3400028)Instruction limit reached! 
% 134.24/19.59  % (3400028)------------------------------
% 134.24/19.59  % (3400028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 134.24/19.59  % (3400028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.24/19.59  % (3400028)CaDiCaL version: 2.1.3
% 134.24/19.59  % (3400028)Termination reason: Instruction limit
% 134.24/19.59  % (3400028)Termination phase: Saturation
% 134.24/19.59  % (3400028)Time elapsed: 0.086 s
% 134.24/19.59  % (3400028)Peak memory usage: 89 MB
% 134.24/19.59  % (3400028)Instructions burned: 137 (million)
% 134.24/19.59  % (3400030)Instruction limit reached! 
% 134.24/19.59  % (3400030)------------------------------
% 134.24/19.59  % (3400030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 134.24/19.59  % (3400030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.24/19.59  % (3400030)CaDiCaL version: 2.1.3
% 134.24/19.59  % (3400030)Termination reason: Instruction limit
% 134.24/19.59  % (3400030)Termination phase: Saturation
% 134.24/19.59  % (3400030)Time elapsed: 0.106 s
% 134.24/19.59  % (3400030)Peak memory usage: 90 MB
% 134.24/19.59  % (3400030)Instructions burned: 182 (million)
% 134.24/19.59  % (3400031)Instruction limit reached! 
% 134.24/19.59  % (3400031)------------------------------
% 134.24/19.59  % (3400031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 134.24/19.59  % (3400031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.24/19.59  % (3400031)CaDiCaL version: 2.1.3
% 134.24/19.59  % (3400031)Termination reason: Instruction limit
% 134.24/19.59  % (3400031)Termination phase: Saturation
% 134.24/19.59  % (3400031)Time elapsed: 0.159 s
% 134.24/19.59  % (3400031)Peak memory usage: 90 MB
% 134.24/19.59  % (3400031)Instructions burned: 258 (million)
% 134.24/19.59  % (3400088)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=504583498:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 134.24/19.59  % (3400100)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3011798649:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 134.24/19.59  % (3400032)Instruction limit reached! 
% 134.24/19.59  % (3400032)------------------------------
% 134.24/19.59  % (3400032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 134.24/19.59  % (3400032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.24/19.59  % (3400032)CaDiCaL version: 2.1.3
% 134.24/19.59  % (3400032)Termination reason: Instruction limit
% 134.24/19.59  % (3400032)Termination phase: Saturation
% 134.24/19.59  % (3400032)Time elapsed: 0.423 s
% 134.24/19.59  % (3400032)Peak memory usage: 101 MB
% 134.24/19.59  % (3400032)Instructions burned: 1188 (million)
% 134.24/19.59  % (3400109)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2534866370:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 204.70/29.41  % (3400135)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=418807547:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 204.70/29.41  % (3400109)Instruction limit reached! 
% 204.70/29.41  % (3400109)------------------------------
% 204.70/29.41  % (3400109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.70/29.41  % (3400109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.70/29.41  % (3400109)CaDiCaL version: 2.1.3
% 204.70/29.41  % (3400109)Termination reason: Instruction limit
% 204.70/29.41  % (3400109)Termination phase: Saturation
% 204.70/29.41  % (3400109)Time elapsed: 0.179 s
% 204.70/29.41  % (3400109)Peak memory usage: 90 MB
% 204.70/29.41  % (3400109)Instructions burned: 215 (million)
% 204.70/29.41  % (3400144)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=371590748:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 204.70/29.41  % (3400135)Instruction limit reached! 
% 204.70/29.41  % (3400135)------------------------------
% 204.70/29.41  % (3400135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.70/29.41  % (3400135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.70/29.41  % (3400135)CaDiCaL version: 2.1.3
% 204.70/29.41  % (3400135)Termination reason: Instruction limit
% 204.70/29.41  % (3400135)Termination phase: Saturation
% 204.70/29.41  % (3400135)Time elapsed: 0.266 s
% 204.70/29.41  % (3400135)Peak memory usage: 93 MB
% 204.70/29.41  % (3400135)Instructions burned: 318 (million)
% 204.70/29.41  % (3400147)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1748385563:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2989 on theBenchmark for (2989ds/2836Mi)
% 204.70/29.41  % (3400088)Instruction limit reached! 
% 204.70/29.41  % (3400088)------------------------------
% 204.70/29.41  % (3400088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.70/29.41  % (3400088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.70/29.41  % (3400088)CaDiCaL version: 2.1.3
% 204.70/29.41  % (3400088)Termination reason: Instruction limit
% 204.70/29.41  % (3400088)Termination phase: Saturation
% 204.70/29.41  % (3400088)Time elapsed: 1.593 s
% 204.70/29.41  % (3400088)Peak memory usage: 141 MB
% 204.70/29.41  % (3400088)Instructions burned: 2052 (million)
% 204.70/29.41  % (3400163)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3622835131:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2979 on theBenchmark for (2979ds/14534Mi)
% 204.70/29.41  % (3400147)Instruction limit reached! 
% 204.70/29.41  % (3400147)------------------------------
% 204.70/29.41  % (3400147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.70/29.41  % (3400147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.70/29.41  % (3400147)CaDiCaL version: 2.1.3
% 204.70/29.41  % (3400147)Termination reason: Instruction limit
% 204.70/29.41  % (3400147)Termination phase: Saturation
% 204.70/29.41  % (3400147)Time elapsed: 2.888 s
% 204.70/29.41  % (3400147)Peak memory usage: 140 MB
% 204.70/29.41  % (3400147)Instructions burned: 2836 (million)
% 204.70/29.41  % (3400171)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2899655214:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2957 on theBenchmark for (2957ds/11832Mi)
% 204.70/29.41  % (3400100)Instruction limit reached! 
% 204.70/29.41  % (3400100)------------------------------
% 204.70/29.41  % (3400100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.70/29.41  % (3400100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.70/29.41  % (3400100)CaDiCaL version: 2.1.3
% 204.70/29.41  % (3400100)Termination reason: Instruction limit
% 204.70/29.41  % (3400100)Termination phase: Saturation
% 204.70/29.41  % (3400100)Time elapsed: 4.870 s
% 204.70/29.41  % (3400100)Peak memory usage: 166 MB
% 204.70/29.41  % (3400100)Instructions burned: 4949 (million)
% 204.70/29.41  % (3400173)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2951676755:i=2279:fgj=on:bd=all_2945 on theBenchmark for (2945ds/2279Mi)
% 204.70/29.41  % (3400173)Instruction limit reached! 
% 204.70/29.41  % (3400173)------------------------------
% 127.78/34.62  % (3400173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400173)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400173)Termination reason: Instruction limit
% 127.78/34.62  % (3400173)Termination phase: Saturation
% 127.78/34.62  % (3400173)Time elapsed: 2.265 s
% 127.78/34.62  % (3400173)Peak memory usage: 140 MB
% 127.78/34.62  % (3400173)Instructions burned: 2280 (million)
% 127.78/34.62  % (3400181)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1406106388:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2920 on theBenchmark for (2920ds/6225Mi)
% 127.78/34.62  % (3400163)Instruction limit reached! 
% 127.78/34.62  % (3400163)------------------------------
% 127.78/34.62  % (3400163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400163)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400163)Termination reason: Instruction limit
% 127.78/34.62  % (3400163)Termination phase: Saturation
% 127.78/34.62  % (3400163)Time elapsed: 8.177 s
% 127.78/34.62  % (3400163)Peak memory usage: 226 MB
% 127.78/34.62  % (3400163)Instructions burned: 14535 (million)
% 127.78/34.62  % (3400185)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=49968245:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2894 on theBenchmark for (2894ds/21755Mi)
% 127.78/34.62  % (3400144)Instruction limit reached! 
% 127.78/34.62  % (3400144)------------------------------
% 127.78/34.62  % (3400144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400144)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400144)Termination reason: Instruction limit
% 127.78/34.62  % (3400144)Termination phase: Saturation
% 127.78/34.62  % (3400144)Time elapsed: 12.684 s
% 127.78/34.62  % (3400144)Peak memory usage: 240 MB
% 127.78/34.62  % (3400144)Instructions burned: 12125 (million)
% 127.78/34.62  % (3400193)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=1155023419:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2862 on theBenchmark for (2862ds/16427Mi)
% 127.78/34.62  % (3400181)Instruction limit reached! 
% 127.78/34.62  % (3400181)------------------------------
% 127.78/34.62  % (3400181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400181)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400181)Termination reason: Instruction limit
% 127.78/34.62  % (3400181)Termination phase: Saturation
% 127.78/34.62  % (3400181)Time elapsed: 5.954 s
% 127.78/34.62  % (3400181)Peak memory usage: 166 MB
% 127.78/34.62  % (3400181)Instructions burned: 6225 (million)
% 127.78/34.62  % (3400195)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=1911429497:i=9356:fgj=on:bd=preordered:av=off_2857 on theBenchmark for (2857ds/9356Mi)
% 127.78/34.62  % (3400171)Instruction limit reached! 
% 127.78/34.62  % (3400171)------------------------------
% 127.78/34.62  % (3400171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400171)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400171)Termination reason: Instruction limit
% 127.78/34.62  % (3400171)Termination phase: Saturation
% 127.78/34.62  % (3400171)Time elapsed: 12.101 s
% 127.78/34.62  % (3400171)Peak memory usage: 222 MB
% 127.78/34.62  % (3400171)Instructions burned: 11832 (million)
% 127.78/34.62  % (3400202)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=3614058762:i=2070:kws=inv_precedence:slsql=off:bd=all_2833 on theBenchmark for (2833ds/2070Mi)
% 127.78/34.62  % (3400202)Instruction limit reached! 
% 127.78/34.62  % (3400202)------------------------------
% 127.78/34.62  % (3400202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400202)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400202)Termination reason: Instruction limit
% 127.78/34.62  % (3400202)Termination phase: Saturation
% 127.78/34.62  % (3400202)Time elapsed: 1.962 s
% 127.78/34.62  % (3400202)Peak memory usage: 127 MB
% 127.78/34.62  % (3400202)Instructions burned: 2070 (million)
% 127.78/34.62  % (3400204)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=3651234022:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2810 on theBenchmark for (2810ds/6461Mi)
% 127.78/34.62  % (3400185)Instruction limit reached! 
% 127.78/34.62  % (3400185)------------------------------
% 127.78/34.62  % (3400185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400185)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400185)Termination reason: Instruction limit
% 127.78/34.62  % (3400185)Termination phase: Saturation
% 127.78/34.62  % (3400185)Time elapsed: 11.295 s
% 127.78/34.62  % (3400185)Peak memory usage: 249 MB
% 127.78/34.62  % (3400185)Instructions burned: 21755 (million)
% 127.78/34.62  % (3400195)Instruction limit reached! 
% 127.78/34.62  % (3400195)------------------------------
% 127.78/34.62  % (3400195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400195)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400195)Termination reason: Instruction limit
% 127.78/34.62  % (3400195)Termination phase: Saturation
% 127.78/34.62  % (3400195)Time elapsed: 7.707 s
% 127.78/34.62  % (3400195)Peak memory usage: 190 MB
% 127.78/34.62  % (3400195)Instructions burned: 9357 (million)
% 127.78/34.62  % (3400208)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=2574614492:i=2310:bd=all:ss=included_2779 on theBenchmark for (2779ds/2310Mi)
% 127.78/34.62  % (3400209)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=3746345669:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2777 on theBenchmark for (2777ds/2616Mi)
% 127.78/34.62  % (3400208)Instruction limit reached! 
% 127.78/34.62  % (3400208)------------------------------
% 127.78/34.62  % (3400208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400208)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400208)Termination reason: Instruction limit
% 127.78/34.62  % (3400208)Termination phase: Saturation
% 127.78/34.62  % (3400208)Time elapsed: 1.215 s
% 127.78/34.62  % (3400208)Peak memory usage: 112 MB
% 127.78/34.62  % (3400208)Instructions burned: 2312 (million)
% 127.78/34.62  % (3400212)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=1492584726:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2764 on theBenchmark for (2764ds/30521Mi)
% 127.78/34.62  % (3400209)Instruction limit reached! 
% 127.78/34.62  % (3400209)------------------------------
% 127.78/34.62  % (3400209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400209)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400209)Termination reason: Instruction limit
% 127.78/34.62  % (3400209)Termination phase: Saturation
% 127.78/34.62  % (3400209)Time elapsed: 2.402 s
% 127.78/34.62  % (3400209)Peak memory usage: 125 MB
% 127.78/34.62  % (3400209)Instructions burned: 2617 (million)
% 127.78/34.62  % (3400216)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=1487829496:i=3258:fgj=on:bd=all:ins=1_2750 on theBenchmark for (2750ds/3258Mi)
% 127.78/34.62  % (3400204)Instruction limit reached! 
% 127.78/34.62  % (3400204)------------------------------
% 127.78/34.62  % (3400204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400204)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400204)Termination reason: Instruction limit
% 127.78/34.62  % (3400204)Termination phase: Saturation
% 127.78/34.62  % (3400204)Time elapsed: 6.303 s
% 127.78/34.62  % (3400204)Peak memory usage: 176 MB
% 127.78/34.62  % (3400204)Instructions burned: 6462 (million)
% 127.78/34.62  % (3400218)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=3979124734:i=5037:kws=precedence_2744 on theBenchmark for (2744ds/5037Mi)
% 127.78/34.62  % (3400216)Instruction limit reached! 
% 127.78/34.62  % (3400216)------------------------------
% 127.78/34.62  % (3400216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400216)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400216)Termination reason: Instruction limit
% 127.78/34.62  % (3400216)Termination phase: Saturation
% 127.78/34.62  % (3400216)Time elapsed: 3.444 s
% 127.78/34.62  % (3400216)Peak memory usage: 153 MB
% 127.78/34.62  % (3400216)Instructions burned: 3258 (million)
% 127.78/34.62  % (3400222)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=3427040087:i=65240_2712 on theBenchmark for (2712ds/65240Mi)
% 127.78/34.62  % (3400218)Instruction limit reached! 
% 127.78/34.62  % (3400218)------------------------------
% 127.78/34.62  % (3400218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400218)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400218)Termination reason: Instruction limit
% 127.78/34.62  % (3400218)Termination phase: Saturation
% 127.78/34.62  % (3400218)Time elapsed: 4.662 s
% 127.78/34.62  % (3400218)Peak memory usage: 159 MB
% 127.78/34.62  % (3400218)Instructions burned: 5038 (million)
% 127.78/34.62  % (3400224)lrs-1011_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:urr=ec_only:random_seed=1458091885:i=16502:kws=inv_precedence:fgj=on:bd=preordered:ins=3:av=off_2695 on theBenchmark for (2695ds/16502Mi)
% 127.78/34.62  % (3400193)Instruction limit reached! 
% 127.78/34.62  % (3400193)------------------------------
% 127.78/34.62  % (3400193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.78/34.62  % (3400193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.78/34.62  % (3400193)CaDiCaL version: 2.1.3
% 127.78/34.62  % (3400193)Termination reason: Instruction limit
% 127.78/34.62  % (3400193)Termination phase: Saturation
% 127.78/34.62  % (3400193)Time elapsed: 17.980 s
% 127.78/34.62  % (3400193)Peak memory usage: 228 MB
% 127.78/34.62  % (3400193)Instructions burned: 16427 (million)
% 127.78/34.62  % (3400226)lrs-1011_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=32000:npcc=on:drc=off:sp=const_max:spb=goal_then_units:urr=ec_only:fd=preordered:random_seed=988764327:i=7623:bd=preordered:er=filter_2679 on theBenchmark for (2679ds/7623Mi)
% 127.78/34.62  % (3400212)First to succeed.
% 127.78/34.62  % (3400212)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3399960"
% 127.78/34.62  % (3400212)Refutation found. Thanks to Tanya!
% 127.78/34.62  % SZS status Unsatisfiable for theBenchmark
% 127.78/34.62  % SZS output start Proof for theBenchmark
% See solution above
% 241.57/34.96  % (3400212)------------------------------
% 241.57/34.96  % (3400212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 241.57/34.96  % (3400212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 241.57/34.96  % (3400212)CaDiCaL version: 2.1.3
% 241.57/34.96  % (3400212)Termination reason: Refutation
% 241.57/34.96  % (3400212)Time elapsed: 9.793 s
% 241.57/34.96  % (3400212)Peak memory usage: 257 MB
% 241.57/34.96  % (3400212)Instructions burned: 17219 (million)
% 241.57/34.96  % (3400212)------------------------------
% 241.57/34.96  % (3400212)------------------------------
% 241.57/34.96  % (3399960)Success in time 33.945 s
% 241.57/34.96  % Vampire exiting
%------------------------------------------------------------------------------