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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP352-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n001.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 : Fri Sep 25 01:33:19 PM UTC 2026

% Result   : Unsatisfiable 3.05s 1.74s
% Output   : CNFRefutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  316 ( 104 unt;  10 def)
%            Number of atoms       : 1052 ( 567 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  456 ( 149   ~; 307   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  14 usr;  15 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   82 (   0 sgn  82   !;   0   ?;  68   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

fof(f2,axiom,
    ! [X0] : multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

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

fof(f4,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

fof(f5,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    inference(reorient_equations,[],[f5]) ).

fof(f7,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f8,plain,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    inference(reorient_equations,[],[f7]) ).

fof(f9,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f10,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    inference(reorient_equations,[],[f9]) ).

fof(f11,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f12,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    inference(reorient_equations,[],[f11]) ).

fof(f13,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f14,plain,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    inference(reorient_equations,[],[f13]) ).

fof(f15,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f16,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f15]) ).

fof(f17,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f18,plain,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f17]) ).

fof(f19,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f20,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f19]) ).

fof(f21,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f22,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f21]) ).

fof(f23,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f24,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f23]) ).

fof(f25,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f26,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f25]) ).

fof(f27,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f28,plain,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f27]) ).

fof(f29,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f30,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f29]) ).

fof(f31,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f32,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f31]) ).

fof(f33,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f34,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f33]) ).

fof(f35,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c2,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f36,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f35]) ).

fof(f37,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c2,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f38,plain,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f37]) ).

fof(f39,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c2,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f40,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f39]) ).

fof(f41,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c7
    | multiply(sk_c2,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f42,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f41]) ).

fof(f43,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f44,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f43]) ).

fof(f45,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f46,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f45]) ).

fof(f47,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f48,plain,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f47]) ).

fof(f49,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f50,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f49]) ).

fof(f51,negated_conjecture,
    ( multiply(sk_c4,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f52,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | sk_c6 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f51]) ).

fof(f53,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f54,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f53]) ).

fof(f55,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( inverse(X3) != sk_c6
      | multiply(X3,sk_c6) != sk_c7
      | multiply(X2,sk_c6) != sk_c7
      | inverse(X2) != sk_c7
      | multiply(sk_c6,sk_c7) != sk_c5
      | inverse(X1) != sk_c6
      | multiply(X1,sk_c6) != sk_c5
      | inverse(X0) != sk_c7
      | multiply(X0,sk_c7) != sk_c6
      | multiply(sk_c6,sk_c5) != sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f56,plain,
    ! [X2,X3,X0,X1] :
      ( sk_c6 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != multiply(X2,sk_c6)
      | sk_c7 != inverse(X2)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c6 != inverse(X1)
      | sk_c5 != multiply(X1,sk_c6)
      | inverse(X0) != sk_c7
      | sk_c6 != multiply(X0,sk_c7)
      | multiply(sk_c6,sk_c5) != sk_c7 ),
    inference(reorient_equations,[],[f55]) ).

tcf(c_78,plain,
    ! [X0: $i] : multiply(identity,X0) = X0,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_79,plain,
    ! [X0: $i] : multiply(inverse(X0),X0) = identity,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_81,negated_conjecture,
    ( ( multiply(sk_c6,sk_c7) = sk_c5 )
    | ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_82,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_83,negated_conjecture,
    ( ( multiply(sk_c3,sk_c6) = sk_c7 )
    | ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_84,negated_conjecture,
    ( ( multiply(sk_c4,sk_c6) = sk_c7 )
    | ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_85,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c6 )
    | ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_86,negated_conjecture,
    ( ( multiply(sk_c1,sk_c7) = sk_c6 )
    | ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_87,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_88,negated_conjecture,
    ( ( multiply(sk_c1,sk_c7) = sk_c6 )
    | ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_89,negated_conjecture,
    ( ( multiply(sk_c1,sk_c7) = sk_c6 )
    | ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_90,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c6 )
    | ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_91,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_92,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( inverse(sk_c3) = sk_c7 ) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_93,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_94,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_95,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( inverse(sk_c4) = sk_c6 ) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_96,negated_conjecture,
    ( ( multiply(sk_c2,sk_c6) = sk_c5 )
    | ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_97,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_98,negated_conjecture,
    ( ( multiply(sk_c2,sk_c6) = sk_c5 )
    | ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_99,negated_conjecture,
    ( ( multiply(sk_c2,sk_c6) = sk_c5 )
    | ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_100,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c6 )
    | ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_101,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c6 )
    | ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_102,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c6 )
    | ( inverse(sk_c3) = sk_c7 ) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_103,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c6 )
    | ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_104,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c6 )
    | ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_105,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c6 )
    | ( inverse(sk_c4) = sk_c6 ) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_106,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( inverse(X3) != sk_c7 )
      | ( inverse(X2) != sk_c6 )
      | ( inverse(X1) != sk_c6 )
      | ( inverse(X0) != sk_c7 )
      | ( multiply(sk_c6,sk_c7) != sk_c5 )
      | ( multiply(sk_c6,sk_c5) != sk_c7 )
      | ( multiply(X3,sk_c6) != sk_c7 )
      | ( multiply(X2,sk_c6) != sk_c5 )
      | ( multiply(X1,sk_c6) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c6 ) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_359,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ( inverse(X0) != sk_c6 )
      | ( multiply(X0,sk_c6) != sk_c5 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_106]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != sk_c6 )
      | ( multiply(X0,sk_c6) != sk_c7 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_106]) ).

tcf(c_361,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c6) != sk_c7 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_106]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c6 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_106]) ).

tcf(c_363,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( multiply(sk_c6,sk_c7) != sk_c5 )
    | ( multiply(sk_c6,sk_c5) != sk_c7 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106]) ).

tcf(c_364,definition,
    iPr_def_14 = multiply(sk_c6,sk_c5),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_365,definition,
    iPr_def_15 = multiply(sk_c6,sk_c7),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_366,definition,
    iPr_def_16 = inverse(sk_c4),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_367,definition,
    iPr_def_17 = inverse(sk_c2),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_368,definition,
    iPr_def_18 = multiply(sk_c4,sk_c6),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_369,definition,
    iPr_def_19 = multiply(sk_c3,sk_c6),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_370,definition,
    iPr_def_20 = inverse(sk_c3),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_371,definition,
    iPr_def_21 = multiply(sk_c2,sk_c6),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_372,definition,
    iPr_def_22 = inverse(sk_c1),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_373,definition,
    iPr_def_23 = multiply(sk_c1,sk_c7),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_374,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_15 != sk_c5 )
    | ( iPr_def_14 != sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_363,c_365,c_364]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_362]) ).

tcf(c_376,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c6) != sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_361]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != sk_c6 )
      | ( multiply(X0,sk_c6) != sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_360]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ( inverse(X0) != sk_c6 )
      | ( multiply(X0,sk_c6) != sk_c5 ) ),
    inference(demodulation,[status(thm)],[c_359]) ).

tcf(c_379,negated_conjecture,
    ( ( iPr_def_17 = sk_c6 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_105,c_367,c_366]) ).

tcf(c_380,negated_conjecture,
    ( ( iPr_def_18 = sk_c7 )
    | ( iPr_def_17 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_104,c_368]) ).

tcf(c_381,negated_conjecture,
    ( ( iPr_def_19 = sk_c7 )
    | ( iPr_def_17 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_103,c_369]) ).

tcf(c_382,negated_conjecture,
    ( ( iPr_def_20 = sk_c7 )
    | ( iPr_def_17 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_102,c_370]) ).

tcf(c_383,negated_conjecture,
    ( ( iPr_def_17 = sk_c6 )
    | ( iPr_def_15 = sk_c5 ) ),
    inference(demodulation,[status(thm)],[c_101]) ).

tcf(c_384,negated_conjecture,
    ( ( iPr_def_21 = sk_c5 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_100,c_371]) ).

tcf(c_385,negated_conjecture,
    ( ( iPr_def_21 = sk_c5 )
    | ( iPr_def_18 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_99]) ).

tcf(c_386,negated_conjecture,
    ( ( iPr_def_21 = sk_c5 )
    | ( iPr_def_19 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_98]) ).

tcf(c_387,negated_conjecture,
    ( ( iPr_def_21 = sk_c5 )
    | ( iPr_def_20 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_97]) ).

tcf(c_388,negated_conjecture,
    ( ( iPr_def_21 = sk_c5 )
    | ( iPr_def_15 = sk_c5 ) ),
    inference(demodulation,[status(thm)],[c_96]) ).

tcf(c_389,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_95,c_372]) ).

tcf(c_390,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_18 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_94]) ).

tcf(c_391,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_19 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_93]) ).

tcf(c_392,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_20 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_92]) ).

tcf(c_393,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_15 = sk_c5 ) ),
    inference(demodulation,[status(thm)],[c_91]) ).

tcf(c_394,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_90,c_373]) ).

tcf(c_395,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_18 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_89]) ).

tcf(c_396,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_19 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_88]) ).

tcf(c_397,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_20 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_87]) ).

tcf(c_398,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_15 = sk_c5 ) ),
    inference(demodulation,[status(thm)],[c_86]) ).

tcf(c_399,negated_conjecture,
    ( ( iPr_def_16 = sk_c6 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_85]) ).

tcf(c_400,negated_conjecture,
    ( ( iPr_def_18 = sk_c7 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_84]) ).

tcf(c_401,negated_conjecture,
    ( ( iPr_def_19 = sk_c7 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_83]) ).

tcf(c_402,negated_conjecture,
    ( ( iPr_def_20 = sk_c7 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_82]) ).

tcf(c_403,negated_conjecture,
    ( ( iPr_def_15 = sk_c5 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_81]) ).

tcf(c_404,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_405,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_652,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_17,sk_c5) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_379,c_364]) ).

tcf(c_653,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(sk_c6,iPr_def_21) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_386,c_364]) ).

tcf(c_654,plain,
    ( ( sk_c7 = iPr_def_18 )
    | ( multiply(sk_c6,iPr_def_21) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_385,c_364]) ).

tcf(c_655,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(sk_c6,iPr_def_21) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_384,c_364]) ).

tcf(c_667,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_17,sk_c7) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_379,c_365]) ).

tcf(c_690,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ( multiply(sk_c6,iPr_def_21) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_387,c_364]) ).

tcf(c_832,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk_c7 = X0 )
      | ( sk_c7 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_833,plain,
    ! [X0: $i] :
      ( ( sk_c7 = X0 )
      | ( sk_c7 != sk_c7 )
      | ( X0 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_832]) ).

tcf(c_834,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_842,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(sk_c3,iPr_def_23) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_394,c_369]) ).

tcf(c_844,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_23,sk_c7) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_394,c_365]) ).

tcf(c_845,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_23,sk_c5) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_394,c_364]) ).

tcf(c_864,plain,
    ( ( sk_c7 = iPr_def_18 )
    | ( iPr_def_18 != sk_c7 )
    | ( sk_c7 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_833]) ).

tcf(c_868,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(sk_c2,iPr_def_23) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_394,c_371]) ).

tcf(c_876,plain,
    ( ( sk_c7 = iPr_def_18 )
    | ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_390,c_373]) ).

tcf(c_877,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_389,c_373]) ).

tcf(c_904,plain,
    multiply(iPr_def_20,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_370,c_79]) ).

tcf(c_905,plain,
    multiply(iPr_def_16,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_366,c_79]) ).

tcf(c_906,plain,
    multiply(iPr_def_22,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_372,c_79]) ).

tcf(c_907,plain,
    multiply(iPr_def_17,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_367,c_79]) ).

tcf(c_923,plain,
    ( ( sk_c6 = iPr_def_23 )
    | ( multiply(sk_c1,iPr_def_18) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_395,c_373]) ).

tcf(c_974,plain,
    ( ( iPr_def_18 = iPr_def_19 )
    | ( sk_c6 = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_396,c_395]) ).

tcf(c_1030,plain,
    ( ( iPr_def_19 = iPr_def_20 )
    | ( sk_c6 = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_397,c_396]) ).

tcf(c_1122,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(sk_c1,iPr_def_14) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_399,c_373]) ).

tcf(c_1125,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( sk_c7 = iPr_def_18 )
    | ( sk_c6 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_399,c_390]) ).

tcf(c_1126,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( sk_c6 = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_399,c_389]) ).

tcf(c_1127,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(sk_c6,iPr_def_14) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_399,c_365]) ).

tcf(c_1262,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( iPr_def_22 != sk_c7 )
    | ( sk_c7 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_833]) ).

tcf(c_1277,plain,
    ( ( iPr_def_18 = iPr_def_19 )
    | ( sk_c7 = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_401,c_400]) ).

tcf(c_1340,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_14 = X0 )
      | ( iPr_def_14 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_1358,plain,
    ( ( iPr_def_19 = iPr_def_20 )
    | ( sk_c7 = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_402,c_401]) ).

tcf(c_1468,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_18 = X0 )
      | ( iPr_def_18 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_1598,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_19 = X0 )
      | ( iPr_def_19 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_1689,plain,
    ! [X0: $i] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(iPr_def_14,X0),
    inference(superposition,[status(thm)],[c_364,c_80]) ).

tcf(c_1690,plain,
    ! [X0: $i] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0),
    inference(superposition,[status(thm)],[c_365,c_80]) ).

tcf(c_1691,plain,
    ! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_19,X0),
    inference(superposition,[status(thm)],[c_369,c_80]) ).

tcf(c_1692,plain,
    ! [X0: $i] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(iPr_def_18,X0),
    inference(superposition,[status(thm)],[c_368,c_80]) ).

tcf(c_1693,plain,
    ! [X0: $i] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(iPr_def_23,X0),
    inference(superposition,[status(thm)],[c_373,c_80]) ).

tcf(c_1694,plain,
    ! [X0: $i] : multiply(sk_c2,multiply(sk_c6,X0)) = multiply(iPr_def_21,X0),
    inference(superposition,[status(thm)],[c_371,c_80]) ).

tcf(c_1696,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_79,c_80]) ).

tcf(c_1698,plain,
    ! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_904,c_80]) ).

tcf(c_1699,plain,
    ! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_905,c_80]) ).

tcf(c_1700,plain,
    ! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_906,c_80]) ).

tcf(c_1701,plain,
    ! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_907,c_80]) ).

tcf(c_1703,plain,
    ! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1701,c_78]) ).

tcf(c_1704,plain,
    ! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1700,c_78]) ).

tcf(c_1705,plain,
    ! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1699,c_78]) ).

tcf(c_1706,plain,
    ! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1698,c_78]) ).

tcf(c_2042,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( multiply(iPr_def_16,sk_c7) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_1126,c_365]) ).

tcf(c_2125,plain,
    ( ~ iPr_def_13
    | ( sk_c6 != iPr_def_23 )
    | ( inverse(sk_c1) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_373,c_375]) ).

tcf(c_2146,plain,
    ( ~ iPr_def_13
    | ( sk_c7 != iPr_def_22 )
    | ( sk_c6 != iPr_def_23 ) ),
    inference(light_normalisation,[status(thm)],[c_2125,c_372]) ).

tcf(c_2283,plain,
    ( ~ iPr_def_12
    | ( sk_c6 != sk_c7 )
    | ( inverse(identity) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_78,c_376]) ).

tcf(c_2373,plain,
    ! [X0: $i] :
      ( ( iPr_def_14 = X0 )
      | ( iPr_def_14 != sk_c7 )
      | ( X0 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_1340]) ).

tcf(c_2429,plain,
    ( ~ iPr_def_11
    | ( sk_c7 != iPr_def_18 )
    | ( inverse(sk_c4) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_368,c_377]) ).

tcf(c_2432,plain,
    ( ~ iPr_def_11
    | ( sk_c7 != identity )
    | ( inverse(inverse(sk_c6)) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_79,c_377]) ).

tcf(c_2451,plain,
    ( ~ iPr_def_11
    | ( sk_c7 != iPr_def_18 )
    | ( sk_c6 != iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_2429,c_366]) ).

tcf(c_2575,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != iPr_def_18 )
    | ( inverse(sk_c4) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_368,c_378]) ).

tcf(c_2578,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != identity )
    | ( inverse(inverse(sk_c6)) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_79,c_378]) ).

tcf(c_2597,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != iPr_def_18 )
    | ( sk_c6 != iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_2575,c_366]) ).

tcf(c_2673,plain,
    ! [X0: $i] :
      ( ( iPr_def_18 = X0 )
      | ( iPr_def_18 != sk_c7 )
      | ( X0 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_1468]) ).

tcf(c_2713,plain,
    ! [X0: $i] :
      ( ( iPr_def_19 = X0 )
      | ( iPr_def_19 != sk_c7 )
      | ( X0 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_1598]) ).

tcf(c_2735,plain,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_18 = iPr_def_19 )
    | ( sk_c5 != iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_1277,c_374]) ).

tcf(c_2901,plain,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_19 = iPr_def_20 )
    | ( sk_c5 != iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_1358,c_374]) ).

tcf(c_3131,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_17,iPr_def_21) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_384,c_652]) ).

tcf(c_3204,plain,
    multiply(iPr_def_17,iPr_def_21) = sk_c6,
    inference(superposition,[status(thm)],[c_371,c_1703]) ).

tcf(c_3207,plain,
    ! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_21,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_3204,c_80]) ).

tcf(c_3230,plain,
    multiply(iPr_def_22,iPr_def_23) = sk_c7,
    inference(superposition,[status(thm)],[c_373,c_1704]) ).

tcf(c_3233,plain,
    ! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_3230,c_80]) ).

tcf(c_3235,plain,
    multiply(iPr_def_16,iPr_def_18) = sk_c6,
    inference(superposition,[status(thm)],[c_368,c_1705]) ).

tcf(c_3238,plain,
    ! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_3235,c_80]) ).

tcf(c_3240,plain,
    multiply(iPr_def_20,iPr_def_19) = sk_c6,
    inference(superposition,[status(thm)],[c_369,c_1706]) ).

tcf(c_3243,plain,
    ! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_19,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_3240,c_80]) ).

tcf(c_3431,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_23,iPr_def_21) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_394,c_655]) ).

tcf(c_3491,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_17,iPr_def_14) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_399,c_667]) ).

tcf(c_3720,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( iPr_def_22 != sk_c7 )
    | ( iPr_def_14 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_2373]) ).

tcf(c_4527,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_20,iPr_def_19) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_842,c_1706]) ).

tcf(c_4528,plain,
    ( ( sk_c6 = iPr_def_23 )
    | ( sk_c6 = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_4527,c_3240]) ).

tcf(c_4561,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_23,iPr_def_14) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_399,c_844]) ).

tcf(c_4921,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
    inference(superposition,[status(thm)],[c_877,c_1704]) ).

tcf(c_4922,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( sk_c6 = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_4921,c_3230]) ).

tcf(c_4969,plain,
    ( ( sk_c6 = iPr_def_23 )
    | ( multiply(iPr_def_22,iPr_def_23) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_923,c_1704]) ).

tcf(c_4970,plain,
    ( ( sk_c7 = iPr_def_18 )
    | ( sk_c6 = iPr_def_23 ) ),
    inference(light_normalisation,[status(thm)],[c_4969,c_3230]) ).

tcf(c_5277,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_1122,c_1704]) ).

tcf(c_5278,plain,
    ( ( sk_c7 = iPr_def_14 )
    | ( sk_c6 = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_5277,c_3230]) ).

tcf(c_5711,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( sk_c6 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_3131,c_3204]) ).

tcf(c_6582,plain,
    multiply(sk_c3,iPr_def_14) = multiply(iPr_def_19,sk_c5),
    inference(superposition,[status(thm)],[c_364,c_1691]) ).

tcf(c_6826,plain,
    multiply(iPr_def_20,multiply(iPr_def_19,sk_c5)) = iPr_def_14,
    inference(superposition,[status(thm)],[c_6582,c_1706]) ).

tcf(c_6839,plain,
    multiply(sk_c4,iPr_def_14) = multiply(iPr_def_18,sk_c5),
    inference(superposition,[status(thm)],[c_364,c_1692]) ).

tcf(c_6840,plain,
    multiply(sk_c4,iPr_def_15) = multiply(iPr_def_18,sk_c7),
    inference(superposition,[status(thm)],[c_365,c_1692]) ).

tcf(c_6842,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ( multiply(sk_c4,iPr_def_14) = multiply(iPr_def_18,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_690,c_1692]) ).

tcf(c_6844,plain,
    ( ( sk_c7 = iPr_def_18 )
    | ( multiply(sk_c4,iPr_def_14) = multiply(iPr_def_18,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_654,c_1692]) ).

tcf(c_6845,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(sk_c4,iPr_def_14) = multiply(iPr_def_18,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_653,c_1692]) ).

tcf(c_7135,plain,
    multiply(iPr_def_16,multiply(iPr_def_18,sk_c7)) = iPr_def_15,
    inference(superposition,[status(thm)],[c_6840,c_1705]) ).

tcf(c_7210,plain,
    multiply(sk_c2,iPr_def_14) = multiply(iPr_def_21,sk_c5),
    inference(superposition,[status(thm)],[c_364,c_1694]) ).

tcf(c_7211,plain,
    multiply(sk_c2,iPr_def_15) = multiply(iPr_def_21,sk_c7),
    inference(superposition,[status(thm)],[c_365,c_1694]) ).

tcf(c_7213,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_21,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_690,c_1694]) ).

tcf(c_7215,plain,
    ( ( sk_c7 = iPr_def_18 )
    | ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_21,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_654,c_1694]) ).

tcf(c_7216,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_21,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_653,c_1694]) ).

tcf(c_7234,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_21,iPr_def_14) ) ),
    inference(superposition,[status(thm)],[c_1127,c_1694]) ).

tcf(c_7389,plain,
    multiply(iPr_def_17,multiply(iPr_def_21,sk_c5)) = iPr_def_14,
    inference(superposition,[status(thm)],[c_7210,c_1703]) ).

tcf(c_7411,plain,
    ( ( iPr_def_18 = iPr_def_19 )
    | ( iPr_def_19 != sk_c7 )
    | ( iPr_def_18 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_2673]) ).

tcf(c_7730,plain,
    ( ( iPr_def_19 = iPr_def_20 )
    | ( iPr_def_20 != sk_c7 )
    | ( iPr_def_19 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_2713]) ).

tcf(c_8207,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( sk_c7 = iPr_def_18 ) ),
    inference(global_subsumption_just,[status(thm)],[c_1125,c_390,c_400,c_834,c_864,c_3720]) ).

tcf(c_8902,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( multiply(iPr_def_16,iPr_def_18) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_8207,c_2042]) ).

tcf(c_8942,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( sk_c6 = iPr_def_15 ) ),
    inference(light_normalisation,[status(thm)],[c_8902,c_3235]) ).

tcf(c_9026,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_8942,c_371]) ).

tcf(c_9045,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( multiply(iPr_def_21,sk_c7) = iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_9026,c_7211]) ).

tcf(c_9363,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1696,c_78]) ).

tcf(c_9368,plain,
    multiply(inverse(sk_c6),iPr_def_14) = sk_c5,
    inference(superposition,[status(thm)],[c_364,c_9363]) ).

tcf(c_9369,plain,
    multiply(inverse(sk_c6),iPr_def_15) = sk_c7,
    inference(superposition,[status(thm)],[c_365,c_9363]) ).

tcf(c_9373,plain,
    multiply(inverse(sk_c2),iPr_def_21) = sk_c6,
    inference(superposition,[status(thm)],[c_371,c_9363]) ).

tcf(c_9374,plain,
    ! [X0: $i] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_78,c_9363]) ).

tcf(c_9375,plain,
    ! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_79,c_9363]) ).

tcf(c_9383,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(inverse(sk_c6),iPr_def_14) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_655,c_9363]) ).

tcf(c_9430,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(inverse(iPr_def_23),iPr_def_14) = sk_c5 ) ),
    inference(superposition,[status(thm)],[c_845,c_9363]) ).

tcf(c_9434,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_868,c_9363]) ).

tcf(c_9465,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_1706,c_9363]) ).

tcf(c_9466,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_1705,c_9363]) ).

tcf(c_9467,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_1704,c_9363]) ).

tcf(c_9468,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_1703,c_9363]) ).

tcf(c_9483,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(inverse(iPr_def_23),iPr_def_14) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_3431,c_9363]) ).

tcf(c_9494,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_9363,c_9363]) ).

tcf(c_9919,plain,
    ! [X0: $i] : multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_9375,c_9494]) ).

tcf(c_9927,plain,
    multiply(sk_c6,sk_c5) = multiply(iPr_def_14,identity),
    inference(superposition,[status(thm)],[c_9919,c_1689]) ).

tcf(c_9928,plain,
    multiply(sk_c1,sk_c7) = multiply(iPr_def_23,identity),
    inference(superposition,[status(thm)],[c_9919,c_1693]) ).

tcf(c_9929,plain,
    multiply(sk_c6,sk_c7) = multiply(iPr_def_15,identity),
    inference(superposition,[status(thm)],[c_9919,c_1690]) ).

tcf(c_9931,plain,
    multiply(sk_c4,sk_c6) = multiply(iPr_def_18,identity),
    inference(superposition,[status(thm)],[c_9919,c_1692]) ).

tcf(c_9932,plain,
    multiply(sk_c3,sk_c6) = multiply(iPr_def_19,identity),
    inference(superposition,[status(thm)],[c_9919,c_1691]) ).

tcf(c_9937,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_9919,c_9374]) ).

tcf(c_9938,plain,
    multiply(iPr_def_19,identity) = iPr_def_19,
    inference(light_normalisation,[status(thm)],[c_9932,c_369]) ).

tcf(c_9939,plain,
    multiply(iPr_def_18,identity) = iPr_def_18,
    inference(light_normalisation,[status(thm)],[c_9931,c_368]) ).

tcf(c_9941,plain,
    multiply(iPr_def_15,identity) = iPr_def_15,
    inference(light_normalisation,[status(thm)],[c_9929,c_365]) ).

tcf(c_9942,plain,
    multiply(iPr_def_23,identity) = iPr_def_23,
    inference(light_normalisation,[status(thm)],[c_9928,c_373]) ).

tcf(c_9943,plain,
    multiply(iPr_def_14,identity) = iPr_def_14,
    inference(light_normalisation,[status(thm)],[c_9927,c_364]) ).

tcf(c_9948,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_9937,c_79]) ).

tcf(c_10149,plain,
    multiply(sk_c6,identity) = multiply(iPr_def_17,iPr_def_21),
    inference(superposition,[status(thm)],[c_9919,c_3207]) ).

tcf(c_10152,plain,
    multiply(sk_c6,identity) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_10149,c_3204]) ).

tcf(c_10170,plain,
    multiply(sk_c7,identity) = multiply(iPr_def_22,iPr_def_23),
    inference(superposition,[status(thm)],[c_9919,c_3233]) ).

tcf(c_10176,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_10170,c_3230]) ).

tcf(c_10289,plain,
    multiply(sk_c6,identity) = multiply(iPr_def_16,iPr_def_18),
    inference(superposition,[status(thm)],[c_9919,c_3238]) ).

tcf(c_10295,plain,
    multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_19),
    inference(superposition,[status(thm)],[c_9919,c_3243]) ).

tcf(c_10322,plain,
    ( ~ iPr_def_13
    | ( inverse(inverse(iPr_def_20)) != sk_c7 )
    | ( multiply(sk_c3,sk_c7) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_9465,c_375]) ).

tcf(c_10323,plain,
    multiply(sk_c3,iPr_def_20) = identity,
    inference(superposition,[status(thm)],[c_9465,c_79]) ).

tcf(c_10328,plain,
    ( ~ iPr_def_12
    | ( inverse(inverse(iPr_def_20)) != sk_c7 )
    | ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_9465,c_376]) ).

tcf(c_10329,plain,
    ! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
    inference(superposition,[status(thm)],[c_9465,c_9363]) ).

tcf(c_10330,plain,
    multiply(sk_c3,identity) = inverse(iPr_def_20),
    inference(superposition,[status(thm)],[c_9465,c_9919]) ).

tcf(c_10351,plain,
    multiply(iPr_def_20,identity) = iPr_def_20,
    inference(superposition,[status(thm)],[c_10323,c_1706]) ).

tcf(c_10361,plain,
    inverse(iPr_def_20) = sk_c3,
    inference(demodulation,[status(thm)],[c_10330,c_9919]) ).

tcf(c_10366,plain,
    multiply(sk_c3,sk_c6) = iPr_def_19,
    inference(superposition,[status(thm)],[c_3240,c_10329]) ).

tcf(c_10498,plain,
    multiply(sk_c4,iPr_def_16) = identity,
    inference(superposition,[status(thm)],[c_9466,c_79]) ).

tcf(c_10502,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(iPr_def_16)) != sk_c6 )
    | ( multiply(sk_c4,sk_c6) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_9466,c_377]) ).

tcf(c_10503,plain,
    ( ~ iPr_def_12
    | ( inverse(inverse(iPr_def_16)) != sk_c7 )
    | ( multiply(sk_c4,sk_c6) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_9466,c_376]) ).

tcf(c_10504,plain,
    ! [X0: $i] : multiply(sk_c4,multiply(iPr_def_16,X0)) = X0,
    inference(superposition,[status(thm)],[c_9466,c_9363]) ).

tcf(c_10505,plain,
    multiply(sk_c4,identity) = inverse(iPr_def_16),
    inference(superposition,[status(thm)],[c_9466,c_9919]) ).

tcf(c_10506,plain,
    ( ~ iPr_def_12
    | ( sk_c7 != iPr_def_18 )
    | ( inverse(inverse(iPr_def_16)) != sk_c7 ) ),
    inference(light_normalisation,[status(thm)],[c_10503,c_368]) ).

tcf(c_10510,plain,
    ( ~ iPr_def_11
    | ( sk_c7 != iPr_def_18 )
    | ( inverse(inverse(iPr_def_16)) != sk_c6 ) ),
    inference(light_normalisation,[status(thm)],[c_10502,c_368]) ).

tcf(c_10600,plain,
    inverse(iPr_def_16) = sk_c4,
    inference(demodulation,[status(thm)],[c_10505,c_9919]) ).

tcf(c_11140,plain,
    multiply(sk_c4,sk_c6) = iPr_def_18,
    inference(superposition,[status(thm)],[c_3235,c_10504]) ).

tcf(c_11298,plain,
    multiply(sk_c1,iPr_def_22) = identity,
    inference(superposition,[status(thm)],[c_9467,c_79]) ).

tcf(c_11304,plain,
    ! [X0: $i] : multiply(sk_c1,multiply(iPr_def_22,X0)) = X0,
    inference(superposition,[status(thm)],[c_9467,c_9363]) ).

tcf(c_11327,plain,
    ( ( identity = iPr_def_23 )
    | ( sk_c6 = iPr_def_16 ) ),
    inference(demodulation,[status(thm)],[c_877,c_11298]) ).

tcf(c_11328,plain,
    ( ( identity = iPr_def_23 )
    | ( sk_c7 = iPr_def_18 ) ),
    inference(demodulation,[status(thm)],[c_876,c_11298]) ).

tcf(c_11490,plain,
    ( ( identity = iPr_def_23 )
    | ( multiply(iPr_def_16,sk_c7) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_11327,c_365]) ).

tcf(c_12213,plain,
    multiply(sk_c1,sk_c7) = iPr_def_23,
    inference(superposition,[status(thm)],[c_3230,c_11304]) ).

tcf(c_12724,plain,
    multiply(sk_c2,iPr_def_17) = identity,
    inference(superposition,[status(thm)],[c_9468,c_79]) ).

tcf(c_12727,plain,
    ( ~ iPr_def_10
    | ( inverse(inverse(iPr_def_17)) != sk_c6 )
    | ( multiply(sk_c2,sk_c6) != sk_c5 ) ),
    inference(superposition,[status(thm)],[c_9468,c_378]) ).

tcf(c_12730,plain,
    ! [X0: $i] : multiply(sk_c2,multiply(iPr_def_17,X0)) = X0,
    inference(superposition,[status(thm)],[c_9468,c_9363]) ).

tcf(c_12731,plain,
    multiply(sk_c2,identity) = inverse(iPr_def_17),
    inference(superposition,[status(thm)],[c_9468,c_9919]) ).

tcf(c_12740,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != iPr_def_21 )
    | ( inverse(inverse(iPr_def_17)) != sk_c6 ) ),
    inference(light_normalisation,[status(thm)],[c_12727,c_371]) ).

tcf(c_13092,plain,
    inverse(iPr_def_17) = sk_c2,
    inference(demodulation,[status(thm)],[c_12731,c_9919]) ).

tcf(c_13105,plain,
    multiply(sk_c2,sk_c6) = iPr_def_21,
    inference(superposition,[status(thm)],[c_3204,c_12730]) ).

tcf(c_13107,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(sk_c2,iPr_def_15) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_3491,c_12730]) ).

tcf(c_13116,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_21,sk_c7) = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_13107,c_7211]) ).

tcf(c_13694,plain,
    ( ~ iPr_def_12
    | ( sk_c7 != identity )
    | ( sk_c6 != sk_c7 ) ),
    inference(light_normalisation,[status(thm)],[c_2283,c_9937]) ).

tcf(c_13730,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ~ iPr_def_12
    | ( sk_c7 != identity )
    | ( sk_c6 != iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_399,c_13694]) ).

tcf(c_14269,plain,
    ( ( sk_c5 != iPr_def_15 )
    | ( iPr_def_18 = iPr_def_19 )
    | iPr_def_10
    | iPr_def_11
    | iPr_def_12 ),
    inference(global_subsumption_just,[status(thm)],[c_2735,c_390,c_391,c_834,c_974,c_1262,c_2146,c_2735,c_7411]) ).

tcf(c_14270,plain,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_18 = iPr_def_19 )
    | ( sk_c5 != iPr_def_15 ) ),
    inference(renaming,[status(thm)],[c_14269]) ).

tcf(c_15451,plain,
    ( ( sk_c5 != iPr_def_15 )
    | ( iPr_def_19 = iPr_def_20 )
    | iPr_def_10
    | iPr_def_11
    | iPr_def_12 ),
    inference(global_subsumption_just,[status(thm)],[c_2901,c_391,c_392,c_834,c_1030,c_1262,c_2146,c_2901,c_7730]) ).

tcf(c_15452,plain,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_19 = iPr_def_20 )
    | ( sk_c5 != iPr_def_15 ) ),
    inference(renaming,[status(thm)],[c_15451]) ).

tcf(c_16532,plain,
    ( ( iPr_def_14 = iPr_def_22 )
    | ( multiply(inverse(iPr_def_21),iPr_def_21) = sk_c7 ) ),
    inference(superposition,[status(thm)],[c_9045,c_9363]) ).

tcf(c_18058,plain,
    ( ( identity = iPr_def_23 )
    | ( multiply(iPr_def_16,iPr_def_18) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_11328,c_11490]) ).

tcf(c_18100,plain,
    ( ( identity = iPr_def_23 )
    | ( sk_c6 = iPr_def_15 ) ),
    inference(light_normalisation,[status(thm)],[c_18058,c_3235]) ).

tcf(c_18188,plain,
    ( ( identity = iPr_def_23 )
    | ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_18100,c_371]) ).

tcf(c_19649,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_18188,c_16532,c_15452,c_14270,c_13730,c_13116,c_13105,c_13092,c_12740,c_12727,c_12724,c_12213,c_11328,c_11327,c_11298,c_11140,c_10600,c_10510,c_10506,c_10503,c_10498,c_10366,c_10361,c_10351,c_10328,c_10322,c_10323,c_10295,c_10289,c_10176,c_10170,c_10152,c_10149,c_9943,c_9942,c_9941,c_9939,c_9938,c_9929,c_9927,c_9937,c_9483,c_9434,c_9430,c_9383,c_9373,c_9369,c_9368,c_7389,c_7234,c_7216,c_7215,c_7213,c_7211,c_7210,c_7135,c_6845,c_6844,c_6842,c_6840,c_6839,c_6826,c_6582,c_5711,c_5278,c_4970,c_4922,c_4561,c_4528,c_3431,c_2597,c_2578,c_2451,c_2432,c_2146,c_9948,c_654,c_403,c_402,c_401,c_400,c_398,c_393,c_388,c_383,c_382,c_381,c_380,c_379,c_374,c_370,c_367,c_366]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP352-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36  % Computer : n001.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Wed Sep 23 14:38:35 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.43  % Proving...
% 3.05/1.74  % SZS status Started for theBenchmark.p
% 3.05/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 3.05/1.74  
% 3.05/1.74  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.05/1.74  
% 3.05/1.74  % ------  iProver source info
% 3.05/1.74  
% 3.05/1.74  % git: date: 2026-07-19 20:42:38 +0200
% 3.05/1.74  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.05/1.74  % git: non_committed_changes: false
% 3.05/1.74  
% 3.05/1.74  % ------ Parsing...% successful
% 3.05/1.74  
% 3.05/1.74  
% 3.05/1.74  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.05/1.74  
% 3.05/1.74  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.05/1.74  
% 3.05/1.74  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.05/1.74  
% 3.05/1.74  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.05/1.74  % ------ Proving...
% 3.05/1.74  % ------ Problem Properties 
% 3.05/1.74  
% 3.05/1.74  % 
% 3.05/1.74  % clauses                               43
% 3.05/1.74  % conjectures                           30
% 3.05/1.74  % EPR                                   26
% 3.05/1.74  % Horn                                  17
% 3.05/1.74  % unary                                 13
% 3.05/1.74  % binary                                25
% 3.05/1.74  % lits                                  81
% 3.05/1.74  % lits eq                               73
% 3.05/1.74  % fd_pure                               0
% 3.05/1.74  % fd_pseudo                             0
% 3.05/1.74  % fd_cond                               0
% 3.05/1.74  % fd_pseudo_cond                        0
% 3.05/1.74  % AC symbols                            0
% 3.05/1.74  
% 3.05/1.74  % ------ Schedule dynamic 5 is on 
% 3.05/1.74  
% 3.05/1.74  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.05/1.74  
% 3.05/1.74  
% 3.05/1.74  % ------ 
% 3.05/1.74  % Current options:
% 3.05/1.74  % ------ 
% 3.05/1.74  
% 3.05/1.74  
% 3.05/1.74  % 
% 3.05/1.74  
% 3.05/1.74  % ------ Proving...
% 3.05/1.74  % 
% 3.05/1.74  
% 3.05/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 3.05/1.74  
% 3.05/1.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.05/1.75  
% 3.05/1.75  
%------------------------------------------------------------------------------