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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP270-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n015.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 01:32:40 PM UTC 2026

% Result   : Unsatisfiable 10.76s 2.87s
% Output   : CNFRefutation 10.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  316 (  97 unt;  10 def)
%            Number of atoms       : 1020 ( 561 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  457 ( 157   ~; 300   |;   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   :   79 (   0 sgn  79   !;   0   ?;  65   :)

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

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

fof(f5,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f7,plain,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(reorient_equations,[],[f6]) ).

fof(f8,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f9,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(reorient_equations,[],[f8]) ).

fof(f10,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f11,plain,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(reorient_equations,[],[f10]) ).

fof(f12,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f13,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(reorient_equations,[],[f12]) ).

fof(f14,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f15,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f14]) ).

fof(f16,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f17,plain,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f16]) ).

fof(f18,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f19,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f18]) ).

fof(f20,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f21,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f20]) ).

fof(f22,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f23,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f22]) ).

fof(f24,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c7,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f25,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    inference(reorient_equations,[],[f24]) ).

fof(f26,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c7,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f27,plain,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    inference(reorient_equations,[],[f26]) ).

fof(f28,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c7,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f29,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    inference(reorient_equations,[],[f28]) ).

fof(f30,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c7,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f31,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    inference(reorient_equations,[],[f30]) ).

fof(f32,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c7,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f33,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    inference(reorient_equations,[],[f32]) ).

fof(f34,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c2,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f35,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    inference(reorient_equations,[],[f34]) ).

fof(f36,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c2,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f37,plain,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    inference(reorient_equations,[],[f36]) ).

fof(f38,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c2,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f39,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    inference(reorient_equations,[],[f38]) ).

fof(f40,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c2,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f41,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    inference(reorient_equations,[],[f40]) ).

fof(f42,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c2,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f43,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    inference(reorient_equations,[],[f42]) ).

fof(f44,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f45,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f44]) ).

fof(f46,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f47,plain,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f46]) ).

fof(f48,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f49,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f48]) ).

fof(f50,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f51,plain,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f50]) ).

fof(f52,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f53,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f52]) ).

fof(f54,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( multiply(X3,sk_c5) != sk_c6
      | inverse(X3) != sk_c6
      | multiply(X2,sk_c6) != sk_c7
      | inverse(X2) != sk_c7
      | multiply(sk_c6,sk_c7) != sk_c5
      | inverse(X1) != sk_c7
      | multiply(X1,sk_c7) != sk_c5
      | multiply(sk_c7,sk_c5) != sk_c6
      | inverse(X0) != sk_c7
      | multiply(X0,sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f55,plain,
    ! [X2,X3,X0,X1] :
      ( sk_c6 != multiply(X3,sk_c5)
      | sk_c6 != inverse(X3)
      | sk_c7 != multiply(X2,sk_c6)
      | sk_c7 != inverse(X2)
      | multiply(sk_c6,sk_c7) != sk_c5
      | sk_c7 != inverse(X1)
      | sk_c5 != multiply(X1,sk_c7)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | inverse(X0) != sk_c7
      | sk_c6 != multiply(X0,sk_c7) ),
    inference(reorient_equations,[],[f54]) ).

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_c1,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_82,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_83,negated_conjecture,
    ( ( multiply(sk_c3,sk_c6) = sk_c7 )
    | ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_84,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c6 )
    | ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_85,negated_conjecture,
    ( ( multiply(sk_c4,sk_c5) = sk_c6 )
    | ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_86,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_87,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( inverse(sk_c1) = sk_c7 ) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_88,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_89,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c6 )
    | ( inverse(sk_c1) = sk_c7 ) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_90,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_91,negated_conjecture,
    ( ( multiply(sk_c6,sk_c7) = sk_c5 )
    | ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_92,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_93,negated_conjecture,
    ( ( multiply(sk_c3,sk_c6) = sk_c7 )
    | ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_94,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c6 )
    | ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_95,negated_conjecture,
    ( ( multiply(sk_c4,sk_c5) = sk_c6 )
    | ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_96,negated_conjecture,
    ( ( multiply(sk_c2,sk_c7) = sk_c5 )
    | ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_97,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_98,negated_conjecture,
    ( ( multiply(sk_c2,sk_c7) = sk_c5 )
    | ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_99,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c6 )
    | ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_100,negated_conjecture,
    ( ( multiply(sk_c2,sk_c7) = sk_c5 )
    | ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_101,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_102,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( inverse(sk_c3) = sk_c7 ) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_103,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_104,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( inverse(sk_c4) = sk_c6 ) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_105,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_106,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( inverse(X3) != sk_c6 )
      | ( inverse(X2) != sk_c7 )
      | ( inverse(X1) != sk_c7 )
      | ( inverse(X0) != sk_c7 )
      | ( multiply(sk_c6,sk_c7) != sk_c5 )
      | ( multiply(sk_c7,sk_c5) != sk_c6 )
      | ( multiply(X3,sk_c5) != sk_c6 )
      | ( multiply(X2,sk_c7) != sk_c5 )
      | ( multiply(X1,sk_c6) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c6 ) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_359,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c7) != 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_c7 )
      | ( 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_c6 )
      | ( multiply(X0,sk_c5) != sk_c6 ) ),
    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_c7,sk_c5) != sk_c6 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106]) ).

tcf(c_364,definition,
    iPr_def_14 = multiply(sk_c7,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 = multiply(sk_c4,sk_c5),
    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 = inverse(sk_c4),
    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_c7),
    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_c6 ) ),
    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_c6 )
      | ( multiply(X0,sk_c5) != sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_361]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != sk_c7 )
      | ( 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_c7 )
      | ( multiply(X0,sk_c7) != sk_c5 ) ),
    inference(demodulation,[status(thm)],[c_359]) ).

tcf(c_379,negated_conjecture,
    ( ( iPr_def_17 = sk_c7 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_105,c_367,c_366]) ).

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

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

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

tcf(c_383,negated_conjecture,
    ( ( iPr_def_17 = sk_c7 )
    | ( 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_c6 ) ),
    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_16 = sk_c6 )
    | ( iPr_def_14 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_95]) ).

tcf(c_390,negated_conjecture,
    ( ( iPr_def_18 = sk_c6 )
    | ( iPr_def_14 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_94]) ).

tcf(c_391,negated_conjecture,
    ( ( iPr_def_19 = sk_c7 )
    | ( iPr_def_14 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_93]) ).

tcf(c_392,negated_conjecture,
    ( ( iPr_def_20 = sk_c7 )
    | ( iPr_def_14 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_92]) ).

tcf(c_393,negated_conjecture,
    ( ( iPr_def_15 = sk_c5 )
    | ( iPr_def_14 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_91]) ).

tcf(c_394,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_90,c_372]) ).

tcf(c_395,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_18 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_89]) ).

tcf(c_396,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_19 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_88]) ).

tcf(c_397,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_20 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_87]) ).

tcf(c_398,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_15 = sk_c5 ) ),
    inference(demodulation,[status(thm)],[c_86]) ).

tcf(c_399,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_85,c_373]) ).

tcf(c_400,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_18 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_84]) ).

tcf(c_401,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_19 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_83]) ).

tcf(c_402,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_20 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_82]) ).

tcf(c_403,negated_conjecture,
    ( ( iPr_def_23 = sk_c6 )
    | ( iPr_def_15 = sk_c5 ) ),
    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_613,plain,
    ( ( iPr_def_19 = iPr_def_20 )
    | ( sk_c7 = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_381,c_382]) ).

tcf(c_651,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( multiply(sk_c7,iPr_def_21) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_385,c_364]) ).

tcf(c_678,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(sk_c4,iPr_def_21) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_386,c_366]) ).

tcf(c_679,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( multiply(sk_c4,iPr_def_21) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_385,c_366]) ).

tcf(c_680,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(sk_c4,iPr_def_21) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_384,c_366]) ).

tcf(c_681,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_383,c_366]) ).

tcf(c_690,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(sk_c3,iPr_def_18) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_380,c_369]) ).

tcf(c_691,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(sk_c3,iPr_def_16) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_379,c_369]) ).

tcf(c_701,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ( multiply(sk_c4,iPr_def_21) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_387,c_366]) ).

tcf(c_716,plain,
    ( ( sk_c5 = iPr_def_15 )
    | ( multiply(sk_c4,iPr_def_21) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_388,c_366]) ).

tcf(c_748,plain,
    ( ( sk_c6 = iPr_def_14 )
    | ( multiply(sk_c3,iPr_def_18) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_390,c_369]) ).

tcf(c_820,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk_c6 = X0 )
      | ( sk_c6 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_821,plain,
    ! [X0: $i] :
      ( ( sk_c6 = X0 )
      | ( sk_c6 != sk_c6 )
      | ( X0 != sk_c6 ) ),
    inference(instantiation,[status(thm)],[c_820]) ).

tcf(c_822,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_868,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( iPr_def_18 != sk_c6 )
    | ( sk_c6 != sk_c6 ) ),
    inference(instantiation,[status(thm)],[c_821]) ).

tcf(c_907,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(sk_c2,iPr_def_20) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_382,c_371]) ).

tcf(c_908,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(sk_c2,iPr_def_19) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_381,c_371]) ).

tcf(c_925,plain,
    multiply(iPr_def_20,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_370,c_79]) ).

tcf(c_926,plain,
    multiply(iPr_def_18,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_368,c_79]) ).

tcf(c_927,plain,
    multiply(iPr_def_22,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_372,c_79]) ).

tcf(c_928,plain,
    multiply(iPr_def_17,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_367,c_79]) ).

tcf(c_950,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( multiply(sk_c3,iPr_def_18) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_395,c_369]) ).

tcf(c_976,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_396,c_373]) ).

tcf(c_1013,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_397,c_373]) ).

tcf(c_1173,plain,
    ( ( iPr_def_14 = iPr_def_23 )
    | ( sk_c6 = iPr_def_18 )
    | ( sk_c7 = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_400,c_392]) ).

tcf(c_1177,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( multiply(sk_c3,iPr_def_23) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_400,c_369]) ).

tcf(c_1224,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_14 = X0 )
      | ( iPr_def_14 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_1241,plain,
    ( ( iPr_def_14 = iPr_def_23 )
    | ( sk_c7 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_401,c_391]) ).

tcf(c_1244,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(sk_c3,iPr_def_23) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_401,c_369]) ).

tcf(c_1306,plain,
    ( ( iPr_def_14 = iPr_def_23 )
    | ( sk_c7 = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_402,c_392]) ).

tcf(c_1310,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ( multiply(sk_c3,iPr_def_23) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_402,c_369]) ).

tcf(c_1434,plain,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( sk_c7 = iPr_def_17 )
    | ( iPr_def_14 != iPr_def_18 )
    | ( sk_c5 != iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_380,c_374]) ).

tcf(c_1637,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_1638,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_1639,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_1641,plain,
    ! [X0: $i] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(iPr_def_14,X0),
    inference(superposition,[status(thm)],[c_364,c_80]) ).

tcf(c_1644,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_79,c_80]) ).

tcf(c_1646,plain,
    ! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_925,c_80]) ).

tcf(c_1647,plain,
    ! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_926,c_80]) ).

tcf(c_1648,plain,
    ! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_927,c_80]) ).

tcf(c_1649,plain,
    ! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_928,c_80]) ).

tcf(c_1651,plain,
    ! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1649,c_78]) ).

tcf(c_1652,plain,
    ! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1648,c_78]) ).

tcf(c_1653,plain,
    ! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1647,c_78]) ).

tcf(c_1654,plain,
    ! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1646,c_78]) ).

tcf(c_1693,plain,
    ( ( iPr_def_19 = iPr_def_20 )
    | ( multiply(sk_c2,iPr_def_17) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_613,c_371]) ).

tcf(c_1918,plain,
    ! [X0: $i] :
      ( ( iPr_def_14 = X0 )
      | ( iPr_def_14 != sk_c6 )
      | ( X0 != sk_c6 ) ),
    inference(instantiation,[status(thm)],[c_1224]) ).

tcf(c_1935,plain,
    ( ( iPr_def_19 = iPr_def_20 )
    | ( iPr_def_14 = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_1306,c_1241]) ).

tcf(c_1984,plain,
    multiply(iPr_def_17,iPr_def_21) = sk_c7,
    inference(superposition,[status(thm)],[c_371,c_1651]) ).

tcf(c_1996,plain,
    ! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_21,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_1984,c_80]) ).

tcf(c_2004,plain,
    ( ~ iPr_def_13
    | ( sk_c6 != iPr_def_23 )
    | ( inverse(sk_c1) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_373,c_375]) ).

tcf(c_2008,plain,
    ( ~ iPr_def_13
    | ( sk_c6 != identity )
    | ( inverse(inverse(sk_c7)) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_79,c_375]) ).

tcf(c_2029,plain,
    ( ~ iPr_def_13
    | ( sk_c6 != iPr_def_23 )
    | ( sk_c7 != iPr_def_22 ) ),
    inference(light_normalisation,[status(thm)],[c_2004,c_372]) ).

tcf(c_2127,plain,
    ( ~ iPr_def_12
    | ( sk_c6 != sk_c5 )
    | ( inverse(identity) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_78,c_376]) ).

tcf(c_2409,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != iPr_def_23 )
    | ( inverse(sk_c1) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_373,c_378]) ).

tcf(c_2410,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != iPr_def_15 )
    | ( inverse(sk_c6) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_365,c_378]) ).

tcf(c_2411,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != iPr_def_21 )
    | ( inverse(sk_c2) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_371,c_378]) ).

tcf(c_2413,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != identity )
    | ( inverse(inverse(sk_c7)) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_79,c_378]) ).

tcf(c_2427,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != iPr_def_21 )
    | ( sk_c7 != iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_2411,c_367]) ).

tcf(c_2434,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != iPr_def_23 )
    | ( sk_c7 != iPr_def_22 ) ),
    inference(light_normalisation,[status(thm)],[c_2409,c_372]) ).

tcf(c_2500,plain,
    ( ( iPr_def_14 = iPr_def_23 )
    | ( iPr_def_23 != sk_c6 )
    | ( iPr_def_14 != sk_c6 ) ),
    inference(instantiation,[status(thm)],[c_1918]) ).

tcf(c_2746,plain,
    ! [X0: $i] :
      ( ( sk_c6 = iPr_def_18 )
      | ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_14,X0) ) ),
    inference(superposition,[status(thm)],[c_651,c_80]) ).

tcf(c_2849,plain,
    multiply(iPr_def_22,iPr_def_23) = sk_c7,
    inference(superposition,[status(thm)],[c_373,c_1652]) ).

tcf(c_2852,plain,
    ! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_2849,c_80]) ).

tcf(c_2854,plain,
    multiply(iPr_def_18,iPr_def_16) = sk_c5,
    inference(superposition,[status(thm)],[c_366,c_1653]) ).

tcf(c_2857,plain,
    ! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2854,c_80]) ).

tcf(c_2859,plain,
    multiply(iPr_def_20,iPr_def_19) = sk_c6,
    inference(superposition,[status(thm)],[c_369,c_1654]) ).

tcf(c_2876,plain,
    ! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_19,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_2859,c_80]) ).

tcf(c_3247,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(iPr_def_18,iPr_def_16) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_678,c_1653]) ).

tcf(c_3248,plain,
    ( ( sk_c5 = iPr_def_21 )
    | ( sk_c7 = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_3247,c_2854]) ).

tcf(c_3259,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( multiply(iPr_def_18,iPr_def_16) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_679,c_1653]) ).

tcf(c_3260,plain,
    ( ( sk_c5 = iPr_def_21 )
    | ( sk_c6 = iPr_def_18 ) ),
    inference(light_normalisation,[status(thm)],[c_3259,c_2854]) ).

tcf(c_3336,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( multiply(iPr_def_18,iPr_def_16) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_680,c_1653]) ).

tcf(c_3337,plain,
    ( ( sk_c5 = iPr_def_21 )
    | ( sk_c6 = iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_3336,c_2854]) ).

tcf(c_3355,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(iPr_def_18,iPr_def_16) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_681,c_1653]) ).

tcf(c_3356,plain,
    ( ( sk_c5 = iPr_def_15 )
    | ( sk_c7 = iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_3355,c_2854]) ).

tcf(c_3367,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(iPr_def_20,iPr_def_19) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_690,c_1654]) ).

tcf(c_3368,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( sk_c7 = iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_3367,c_2859]) ).

tcf(c_3379,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(iPr_def_20,iPr_def_19) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_691,c_1654]) ).

tcf(c_3380,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( sk_c7 = iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_3379,c_2859]) ).

tcf(c_3467,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ( multiply(iPr_def_18,iPr_def_16) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_701,c_1653]) ).

tcf(c_3468,plain,
    ( ( sk_c5 = iPr_def_21 )
    | ( sk_c7 = iPr_def_20 ) ),
    inference(light_normalisation,[status(thm)],[c_3467,c_2854]) ).

tcf(c_3506,plain,
    ( ( sk_c5 = iPr_def_15 )
    | ( multiply(iPr_def_18,iPr_def_16) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_716,c_1653]) ).

tcf(c_3507,plain,
    ( ( sk_c5 = iPr_def_21 )
    | ( sk_c5 = iPr_def_15 ) ),
    inference(light_normalisation,[status(thm)],[c_3506,c_2854]) ).

tcf(c_4117,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(iPr_def_17,iPr_def_21) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_907,c_1651]) ).

tcf(c_4118,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ( sk_c7 = iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_4117,c_1984]) ).

tcf(c_4135,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(iPr_def_17,iPr_def_21) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_908,c_1651]) ).

tcf(c_4136,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( sk_c7 = iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_4135,c_1984]) ).

tcf(c_4752,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( multiply(iPr_def_20,iPr_def_19) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_1177,c_1654]) ).

tcf(c_4753,plain,
    ( ( sk_c6 = iPr_def_23 )
    | ( sk_c6 = iPr_def_18 ) ),
    inference(light_normalisation,[status(thm)],[c_4752,c_2859]) ).

tcf(c_4999,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(iPr_def_20,iPr_def_19) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_1244,c_1654]) ).

tcf(c_5000,plain,
    ( ( sk_c6 = iPr_def_23 )
    | ( sk_c7 = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_4999,c_2859]) ).

tcf(c_5064,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ( multiply(iPr_def_20,iPr_def_19) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_1310,c_1654]) ).

tcf(c_5065,plain,
    ( ( sk_c6 = iPr_def_23 )
    | ( sk_c7 = iPr_def_20 ) ),
    inference(light_normalisation,[status(thm)],[c_5064,c_2859]) ).

tcf(c_5573,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_23,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_651,c_1637]) ).

tcf(c_5710,plain,
    multiply(sk_c6,iPr_def_14) = multiply(iPr_def_15,sk_c5),
    inference(superposition,[status(thm)],[c_364,c_1638]) ).

tcf(c_5714,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( multiply(sk_c6,iPr_def_14) = multiply(iPr_def_15,iPr_def_21) ) ),
    inference(superposition,[status(thm)],[c_651,c_1638]) ).

tcf(c_6133,plain,
    multiply(sk_c3,multiply(iPr_def_15,sk_c5)) = multiply(iPr_def_19,iPr_def_14),
    inference(superposition,[status(thm)],[c_5710,c_1639]) ).

tcf(c_7085,plain,
    ( ( iPr_def_14 = iPr_def_23 )
    | ( sk_c6 = iPr_def_18 ) ),
    inference(global_subsumption_just,[status(thm)],[c_1173,c_390,c_400,c_822,c_868,c_2500]) ).

tcf(c_7144,plain,
    ( ( iPr_def_14 = iPr_def_23 )
    | ( multiply(sk_c3,iPr_def_18) = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_7085,c_369]) ).

tcf(c_7333,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1644,c_78]) ).

tcf(c_7339,plain,
    multiply(inverse(sk_c6),iPr_def_15) = sk_c7,
    inference(superposition,[status(thm)],[c_365,c_7333]) ).

tcf(c_7340,plain,
    multiply(inverse(sk_c3),iPr_def_19) = sk_c6,
    inference(superposition,[status(thm)],[c_369,c_7333]) ).

tcf(c_7342,plain,
    multiply(inverse(sk_c7),iPr_def_14) = sk_c5,
    inference(superposition,[status(thm)],[c_364,c_7333]) ).

tcf(c_7344,plain,
    ! [X0: $i] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_78,c_7333]) ).

tcf(c_7345,plain,
    ! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_79,c_7333]) ).

tcf(c_7346,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_80,c_7333]) ).

tcf(c_7381,plain,
    ( ( iPr_def_14 = iPr_def_23 )
    | ( multiply(inverse(sk_c3),iPr_def_19) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_7144,c_7333]) ).

tcf(c_7382,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( multiply(inverse(sk_c3),iPr_def_19) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_950,c_7333]) ).

tcf(c_7383,plain,
    ( ( sk_c6 = iPr_def_14 )
    | ( multiply(inverse(sk_c3),iPr_def_19) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_748,c_7333]) ).

tcf(c_7442,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_1654,c_7333]) ).

tcf(c_7443,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_1653,c_7333]) ).

tcf(c_7444,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_1652,c_7333]) ).

tcf(c_7445,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_1651,c_7333]) ).

tcf(c_7470,plain,
    multiply(inverse(sk_c6),multiply(iPr_def_15,sk_c5)) = iPr_def_14,
    inference(superposition,[status(thm)],[c_5710,c_7333]) ).

tcf(c_7473,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_7333,c_7333]) ).

tcf(c_8040,plain,
    ! [X0: $i] : multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_7345,c_7473]) ).

tcf(c_8052,plain,
    multiply(sk_c7,identity) = multiply(iPr_def_22,iPr_def_23),
    inference(superposition,[status(thm)],[c_8040,c_2852]) ).

tcf(c_8054,plain,
    multiply(sk_c6,sk_c7) = multiply(iPr_def_15,identity),
    inference(superposition,[status(thm)],[c_8040,c_1638]) ).

tcf(c_8055,plain,
    multiply(sk_c1,sk_c7) = multiply(iPr_def_23,identity),
    inference(superposition,[status(thm)],[c_8040,c_1637]) ).

tcf(c_8056,plain,
    multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_19),
    inference(superposition,[status(thm)],[c_8040,c_2876]) ).

tcf(c_8058,plain,
    multiply(sk_c5,identity) = multiply(iPr_def_18,iPr_def_16),
    inference(superposition,[status(thm)],[c_8040,c_2857]) ).

tcf(c_8059,plain,
    multiply(sk_c7,sk_c5) = multiply(iPr_def_14,identity),
    inference(superposition,[status(thm)],[c_8040,c_1641]) ).

tcf(c_8061,plain,
    multiply(sk_c7,identity) = multiply(iPr_def_17,iPr_def_21),
    inference(superposition,[status(thm)],[c_8040,c_1996]) ).

tcf(c_8066,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_8040,c_7344]) ).

tcf(c_8067,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_8061,c_1984]) ).

tcf(c_8069,plain,
    multiply(iPr_def_14,identity) = iPr_def_14,
    inference(light_normalisation,[status(thm)],[c_8059,c_364]) ).

tcf(c_8070,plain,
    multiply(sk_c5,identity) = sk_c5,
    inference(light_normalisation,[status(thm)],[c_8058,c_2854]) ).

tcf(c_8072,plain,
    multiply(sk_c6,identity) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_8056,c_2859]) ).

tcf(c_8073,plain,
    multiply(iPr_def_23,identity) = iPr_def_23,
    inference(light_normalisation,[status(thm)],[c_8055,c_373]) ).

tcf(c_8074,plain,
    multiply(iPr_def_15,identity) = iPr_def_15,
    inference(light_normalisation,[status(thm)],[c_8054,c_365]) ).

tcf(c_8083,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_8066,c_79]) ).

tcf(c_8563,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ~ iPr_def_13
    | ( sk_c6 != iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_397,c_2029]) ).

tcf(c_8564,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ~ iPr_def_13
    | ( sk_c6 != iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_396,c_2029]) ).

tcf(c_8611,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ~ iPr_def_13 ),
    inference(global_subsumption_just,[status(thm)],[c_8563,c_5065,c_8563]) ).

tcf(c_8621,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ~ iPr_def_13 ),
    inference(global_subsumption_just,[status(thm)],[c_8564,c_5000,c_8564]) ).

tcf(c_8703,plain,
    ( ~ iPr_def_10
    | ( inverse(inverse(iPr_def_20)) != sk_c7 )
    | ( multiply(sk_c3,sk_c7) != sk_c5 ) ),
    inference(superposition,[status(thm)],[c_7442,c_378]) ).

tcf(c_8705,plain,
    multiply(sk_c3,iPr_def_20) = identity,
    inference(superposition,[status(thm)],[c_7442,c_79]) ).

tcf(c_8709,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(iPr_def_20)) != sk_c7 )
    | ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_7442,c_377]) ).

tcf(c_8710,plain,
    ! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
    inference(superposition,[status(thm)],[c_7442,c_7333]) ).

tcf(c_8711,plain,
    multiply(sk_c3,identity) = inverse(iPr_def_20),
    inference(superposition,[status(thm)],[c_7442,c_8040]) ).

tcf(c_8786,plain,
    inverse(iPr_def_20) = sk_c3,
    inference(demodulation,[status(thm)],[c_8711,c_8040]) ).

tcf(c_9186,plain,
    multiply(sk_c3,sk_c6) = iPr_def_19,
    inference(superposition,[status(thm)],[c_2859,c_8710]) ).

tcf(c_9247,plain,
    ( ~ iPr_def_13
    | ( inverse(inverse(iPr_def_18)) != sk_c7 )
    | ( multiply(sk_c4,sk_c7) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_7443,c_375]) ).

tcf(c_9248,plain,
    multiply(sk_c4,iPr_def_18) = identity,
    inference(superposition,[status(thm)],[c_7443,c_79]) ).

tcf(c_9251,plain,
    ( ~ iPr_def_12
    | ( inverse(inverse(iPr_def_18)) != sk_c6 )
    | ( multiply(sk_c4,sk_c5) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_7443,c_376]) ).

tcf(c_9253,plain,
    ! [X0: $i] : multiply(sk_c4,multiply(iPr_def_18,X0)) = X0,
    inference(superposition,[status(thm)],[c_7443,c_7333]) ).

tcf(c_9254,plain,
    multiply(sk_c4,identity) = inverse(iPr_def_18),
    inference(superposition,[status(thm)],[c_7443,c_8040]) ).

tcf(c_9258,plain,
    ( ~ iPr_def_12
    | ( sk_c6 != iPr_def_16 )
    | ( inverse(inverse(iPr_def_18)) != sk_c6 ) ),
    inference(light_normalisation,[status(thm)],[c_9251,c_366]) ).

tcf(c_9429,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ~ iPr_def_10
    | ( sk_c5 != iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_397,c_2434]) ).

tcf(c_9430,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ~ iPr_def_10
    | ( sk_c5 != iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_396,c_2434]) ).

tcf(c_9511,plain,
    inverse(iPr_def_18) = sk_c4,
    inference(demodulation,[status(thm)],[c_9254,c_8040]) ).

tcf(c_9521,plain,
    multiply(sk_c4,sk_c5) = iPr_def_16,
    inference(superposition,[status(thm)],[c_2854,c_9253]) ).

tcf(c_9593,plain,
    multiply(sk_c1,iPr_def_22) = identity,
    inference(superposition,[status(thm)],[c_7444,c_79]) ).

tcf(c_9597,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(iPr_def_22)) != sk_c7 )
    | ( multiply(sk_c1,sk_c6) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_7444,c_377]) ).

tcf(c_9598,plain,
    ! [X0: $i] : multiply(sk_c1,multiply(iPr_def_22,X0)) = X0,
    inference(superposition,[status(thm)],[c_7444,c_7333]) ).

tcf(c_9599,plain,
    multiply(sk_c1,identity) = inverse(iPr_def_22),
    inference(superposition,[status(thm)],[c_7444,c_8040]) ).

tcf(c_9621,plain,
    ( ( identity = iPr_def_23 )
    | ( sk_c7 = iPr_def_20 ) ),
    inference(demodulation,[status(thm)],[c_1013,c_9593]) ).

tcf(c_9622,plain,
    ( ( identity = iPr_def_23 )
    | ( sk_c7 = iPr_def_19 ) ),
    inference(demodulation,[status(thm)],[c_976,c_9593]) ).

tcf(c_9687,plain,
    ( ( sk_c7 = iPr_def_20 )
    | ~ iPr_def_10 ),
    inference(global_subsumption_just,[status(thm)],[c_9429,c_2427,c_3468,c_4118]) ).

tcf(c_9693,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ~ iPr_def_10 ),
    inference(global_subsumption_just,[status(thm)],[c_9430,c_2427,c_3248,c_4136]) ).

tcf(c_10196,plain,
    ( ( iPr_def_19 = iPr_def_20 )
    | ( identity = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_9622,c_9621]) ).

tcf(c_10464,plain,
    inverse(iPr_def_22) = sk_c1,
    inference(demodulation,[status(thm)],[c_9599,c_8040]) ).

tcf(c_10480,plain,
    multiply(sk_c1,sk_c7) = iPr_def_23,
    inference(superposition,[status(thm)],[c_2849,c_9598]) ).

tcf(c_11038,plain,
    ( ~ iPr_def_12
    | ( sk_c6 != identity )
    | ( sk_c6 != sk_c5 ) ),
    inference(light_normalisation,[status(thm)],[c_2127,c_8066]) ).

tcf(c_11066,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ~ iPr_def_12
    | ( identity != iPr_def_23 )
    | ( sk_c6 != sk_c5 ) ),
    inference(superposition,[status(thm)],[c_400,c_11038]) ).

tcf(c_11521,plain,
    ( ~ iPr_def_10
    | ( inverse(inverse(iPr_def_17)) != sk_c7 )
    | ( multiply(sk_c2,sk_c7) != sk_c5 ) ),
    inference(superposition,[status(thm)],[c_7445,c_378]) ).

tcf(c_11523,plain,
    multiply(sk_c2,iPr_def_17) = identity,
    inference(superposition,[status(thm)],[c_7445,c_79]) ).

tcf(c_11527,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(iPr_def_17)) != sk_c7 )
    | ( multiply(sk_c2,sk_c6) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_7445,c_377]) ).

tcf(c_11528,plain,
    ! [X0: $i] : multiply(sk_c2,multiply(iPr_def_17,X0)) = X0,
    inference(superposition,[status(thm)],[c_7445,c_7333]) ).

tcf(c_11529,plain,
    multiply(sk_c2,identity) = inverse(iPr_def_17),
    inference(superposition,[status(thm)],[c_7445,c_8040]) ).

tcf(c_11540,plain,
    ( ~ iPr_def_10
    | ( sk_c5 != iPr_def_21 )
    | ( inverse(inverse(iPr_def_17)) != sk_c7 ) ),
    inference(light_normalisation,[status(thm)],[c_11521,c_371]) ).

tcf(c_11544,plain,
    ( ( iPr_def_19 = iPr_def_20 )
    | ( identity = iPr_def_21 ) ),
    inference(demodulation,[status(thm)],[c_1693,c_11523]) ).

tcf(c_11571,plain,
    inverse(iPr_def_17) = sk_c2,
    inference(demodulation,[status(thm)],[c_11529,c_8040]) ).

tcf(c_11578,plain,
    multiply(sk_c2,sk_c7) = iPr_def_21,
    inference(superposition,[status(thm)],[c_1984,c_11528]) ).

tcf(c_11606,plain,
    ( ~ iPr_def_10
    | ( inverse(sk_c6) != sk_c7 ) ),
    inference(global_subsumption_just,[status(thm)],[c_2410,c_2427,c_2410,c_3356,c_3507]) ).

tcf(c_11630,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ~ iPr_def_10
    | ( inverse(iPr_def_23) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_400,c_11606]) ).

tcf(c_11631,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ~ iPr_def_10
    | ( inverse(iPr_def_23) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_399,c_11606]) ).

tcf(c_11737,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ~ iPr_def_10 ),
    inference(global_subsumption_just,[status(thm)],[c_11630,c_2427,c_3260,c_3368]) ).

tcf(c_11743,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ~ iPr_def_10 ),
    inference(global_subsumption_just,[status(thm)],[c_11631,c_2427,c_3337,c_3380]) ).

tcf(c_11885,plain,
    ( ( iPr_def_21 = iPr_def_23 )
    | ( iPr_def_19 = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_11544,c_10196]) ).

tcf(c_12100,plain,
    ( ( iPr_def_19 = iPr_def_20 )
    | ( iPr_def_14 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_11885,c_1935]) ).

tcf(c_16926,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( multiply(sk_c7,iPr_def_21) = multiply(iPr_def_14,identity) ) ),
    inference(superposition,[status(thm)],[c_8040,c_2746]) ).

tcf(c_17422,plain,
    ! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,sk_c5)) = iPr_def_16,
    inference(superposition,[status(thm)],[c_2854,c_7346]) ).

tcf(c_20527,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_17422,c_16926,c_12100,c_11743,c_11737,c_11578,c_11571,c_11540,c_11527,c_11523,c_11066,c_10480,c_10464,c_9693,c_9687,c_9597,c_9593,c_9521,c_9511,c_9258,c_9251,c_9247,c_9248,c_9186,c_8786,c_8709,c_8703,c_8705,c_8621,c_8611,c_8074,c_8073,c_8072,c_8070,c_8069,c_8067,c_8061,c_8059,c_8058,c_8056,c_8054,c_8052,c_7470,c_7383,c_7382,c_7381,c_7342,c_7340,c_7339,c_6133,c_5714,c_5710,c_5573,c_4753,c_3507,c_2413,c_2029,c_2008,c_1434,c_8083,c_403,c_402,c_399,c_398,c_397,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_374,c_372,c_370,c_368,c_367]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP270-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n015.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Wed Sep 23 14:22:40 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.44  
% 0.13/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.44  
% 0.13/0.44  % Detected problem language: tptp
% 0.13/0.45  % Proving...
% 10.76/2.87  % SZS status Started for theBenchmark.p
% 10.76/2.87  % SZS status Unsatisfiable for theBenchmark.p
% 10.76/2.87  
% 10.76/2.87  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.76/2.87  
% 10.76/2.87  % ------  iProver source info
% 10.76/2.87  
% 10.76/2.87  % git: date: 2026-07-19 20:42:38 +0200
% 10.76/2.87  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.76/2.87  % git: non_committed_changes: false
% 10.76/2.87  
% 10.76/2.87  % ------ Parsing...% successful
% 10.76/2.87  
% 10.76/2.87  
% 10.76/2.87  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.76/2.87  
% 10.76/2.87  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 10.76/2.87  
% 10.76/2.87  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.76/2.87  
% 10.76/2.87  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 10.76/2.87  % ------ Proving...
% 10.76/2.87  % ------ Problem Properties 
% 10.76/2.87  
% 10.76/2.87  % 
% 10.76/2.87  % clauses                               43
% 10.76/2.87  % conjectures                           30
% 10.76/2.87  % EPR                                   26
% 10.76/2.87  % Horn                                  17
% 10.76/2.87  % unary                                 13
% 10.76/2.87  % binary                                25
% 10.76/2.87  % lits                                  81
% 10.76/2.87  % lits eq                               73
% 10.76/2.87  % fd_pure                               0
% 10.76/2.87  % fd_pseudo                             0
% 10.76/2.87  % fd_cond                               0
% 10.76/2.87  % fd_pseudo_cond                        0
% 10.76/2.87  % AC symbols                            0
% 10.76/2.87  
% 10.76/2.87  % ------ Schedule dynamic 5 is on 
% 10.76/2.87  
% 10.76/2.87  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.76/2.87  
% 10.76/2.87  
% 10.76/2.87  % ------ 
% 10.76/2.87  % Current options:
% 10.76/2.87  % ------ 
% 10.76/2.87  
% 10.76/2.87  
% 10.76/2.87  % 
% 10.76/2.87  
% 10.76/2.87  % ------ Proving...
% 10.76/2.87  % 
% 10.76/2.87  
% 10.76/2.87  % SZS status Unsatisfiable for theBenchmark.p
% 10.76/2.87  
% 10.76/2.87  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.76/2.89  
%------------------------------------------------------------------------------