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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP364-1 : 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 : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:33:24 PM UTC 2026

% Result   : Unsatisfiable 14.50s 2.70s
% Output   : CNFRefutation 14.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  311 ( 118 unt;  12 def)
%            Number of atoms       :  972 ( 563 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  449 ( 161   ~; 288   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   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  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   89 (   0 sgn  89   !;   0   ?;  62   :)

% 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_c9,sk_c8) = sk_c7
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,plain,
    ( sk_c7 = multiply(sk_c9,sk_c8)
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    inference(reorient_equations,[],[f5]) ).

fof(f7,negated_conjecture,
    ( multiply(sk_c4,sk_c9) = sk_c8
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f8,plain,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    inference(reorient_equations,[],[f7]) ).

fof(f9,negated_conjecture,
    ( inverse(sk_c4) = sk_c9
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f10,plain,
    ( sk_c9 = inverse(sk_c4)
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    inference(reorient_equations,[],[f9]) ).

fof(f11,negated_conjecture,
    ( multiply(sk_c9,sk_c6) = sk_c8
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f12,plain,
    ( sk_c8 = multiply(sk_c9,sk_c6)
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    inference(reorient_equations,[],[f11]) ).

fof(f15,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f16,plain,
    ( sk_c9 = inverse(sk_c5)
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    inference(reorient_equations,[],[f15]) ).

fof(f17,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | multiply(sk_c9,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f18,plain,
    ( sk_c7 = multiply(sk_c9,sk_c8)
    | sk_c8 = multiply(sk_c9,sk_c2) ),
    inference(reorient_equations,[],[f17]) ).

fof(f19,negated_conjecture,
    ( multiply(sk_c4,sk_c9) = sk_c8
    | multiply(sk_c9,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f20,plain,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c2) ),
    inference(reorient_equations,[],[f19]) ).

fof(f21,negated_conjecture,
    ( inverse(sk_c4) = sk_c9
    | multiply(sk_c9,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f22,plain,
    ( sk_c9 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c9,sk_c2) ),
    inference(reorient_equations,[],[f21]) ).

fof(f27,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | multiply(sk_c9,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f28,plain,
    ( sk_c9 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c9,sk_c2) ),
    inference(reorient_equations,[],[f27]) ).

fof(f31,negated_conjecture,
    ( multiply(sk_c4,sk_c9) = sk_c8
    | multiply(sk_c1,sk_c9) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f32,plain,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c2 = multiply(sk_c1,sk_c9) ),
    inference(reorient_equations,[],[f31]) ).

fof(f33,negated_conjecture,
    ( inverse(sk_c4) = sk_c9
    | multiply(sk_c1,sk_c9) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f34,plain,
    ( sk_c9 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c9) ),
    inference(reorient_equations,[],[f33]) ).

fof(f39,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | multiply(sk_c1,sk_c9) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f40,plain,
    ( sk_c9 = inverse(sk_c5)
    | sk_c2 = multiply(sk_c1,sk_c9) ),
    inference(reorient_equations,[],[f39]) ).

fof(f43,negated_conjecture,
    ( multiply(sk_c4,sk_c9) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f44,plain,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c9 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f43]) ).

fof(f45,negated_conjecture,
    ( inverse(sk_c4) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f46,plain,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f45]) ).

fof(f51,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f52,plain,
    ( sk_c9 = inverse(sk_c5)
    | sk_c9 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f51]) ).

fof(f53,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | multiply(sk_c3,sk_c7) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f54,plain,
    ( sk_c7 = multiply(sk_c9,sk_c8)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    inference(reorient_equations,[],[f53]) ).

fof(f55,negated_conjecture,
    ( multiply(sk_c4,sk_c9) = sk_c8
    | multiply(sk_c3,sk_c7) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f56,plain,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    inference(reorient_equations,[],[f55]) ).

fof(f57,negated_conjecture,
    ( inverse(sk_c4) = sk_c9
    | multiply(sk_c3,sk_c7) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f58,plain,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    inference(reorient_equations,[],[f57]) ).

fof(f59,negated_conjecture,
    ( multiply(sk_c9,sk_c6) = sk_c8
    | multiply(sk_c3,sk_c7) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f60,plain,
    ( sk_c8 = multiply(sk_c9,sk_c6)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    inference(reorient_equations,[],[f59]) ).

fof(f61,negated_conjecture,
    ( multiply(sk_c5,sk_c9) = sk_c6
    | multiply(sk_c3,sk_c7) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f62,plain,
    ( sk_c6 = multiply(sk_c5,sk_c9)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    inference(reorient_equations,[],[f61]) ).

fof(f63,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | multiply(sk_c3,sk_c7) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f64,plain,
    ( sk_c9 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    inference(reorient_equations,[],[f63]) ).

fof(f65,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f66,plain,
    ( sk_c7 = multiply(sk_c9,sk_c8)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f65]) ).

fof(f67,negated_conjecture,
    ( multiply(sk_c4,sk_c9) = sk_c8
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f68,plain,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f67]) ).

fof(f69,negated_conjecture,
    ( inverse(sk_c4) = sk_c9
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

fof(f70,plain,
    ( sk_c9 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f69]) ).

fof(f71,negated_conjecture,
    ( multiply(sk_c9,sk_c6) = sk_c8
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f72,plain,
    ( sk_c8 = multiply(sk_c9,sk_c6)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f71]) ).

fof(f73,negated_conjecture,
    ( multiply(sk_c5,sk_c9) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f74,plain,
    ( sk_c6 = multiply(sk_c5,sk_c9)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f73]) ).

fof(f75,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f76,plain,
    ( sk_c9 = inverse(sk_c5)
    | sk_c7 = inverse(sk_c3) ),
    inference(reorient_equations,[],[f75]) ).

fof(f77,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( inverse(X5) != sk_c9
      | multiply(X5,sk_c9) != X4
      | multiply(sk_c9,X4) != sk_c8
      | inverse(X3) != sk_c9
      | multiply(X3,sk_c9) != sk_c8
      | multiply(sk_c9,sk_c8) != sk_c7
      | inverse(X2) != sk_c7
      | multiply(X2,sk_c7) != sk_c9
      | inverse(X1) != sk_c9
      | multiply(X1,sk_c9) != X0
      | multiply(sk_c9,X0) != sk_c8
      | multiply(sk_c7,sk_c9) != sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f78,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sk_c9 != inverse(X5)
      | multiply(X5,sk_c9) != X4
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9)
      | sk_c7 != multiply(sk_c9,sk_c8)
      | sk_c7 != inverse(X2)
      | sk_c9 != multiply(X2,sk_c7)
      | sk_c9 != inverse(X1)
      | multiply(X1,sk_c9) != X0
      | sk_c8 != multiply(sk_c9,X0)
      | multiply(sk_c7,sk_c9) != sk_c8 ),
    inference(reorient_equations,[],[f77]) ).

fof(f79,plain,
    ! [X2,X3,X1,X4,X5] :
      ( sk_c9 != inverse(X5)
      | multiply(X5,sk_c9) != X4
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9)
      | sk_c7 != multiply(sk_c9,sk_c8)
      | sk_c7 != inverse(X2)
      | sk_c9 != multiply(X2,sk_c7)
      | sk_c9 != inverse(X1)
      | sk_c8 != multiply(sk_c9,multiply(X1,sk_c9))
      | multiply(sk_c7,sk_c9) != sk_c8 ),
    inference(equality_resolution,[],[f78]) ).

fof(f80,plain,
    ! [X2,X3,X1,X5] :
      ( sk_c9 != inverse(X5)
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9)
      | sk_c7 != multiply(sk_c9,sk_c8)
      | sk_c7 != inverse(X2)
      | sk_c9 != multiply(X2,sk_c7)
      | sk_c9 != inverse(X1)
      | sk_c8 != multiply(sk_c9,multiply(X1,sk_c9))
      | multiply(sk_c7,sk_c9) != sk_c8 ),
    inference(equality_resolution,[],[f79]) ).

tcf(c_89,plain,
    ! [X0: $i] : multiply(identity,X0) = X0,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_90,plain,
    ! [X0: $i] : multiply(inverse(X0),X0) = identity,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_92,negated_conjecture,
    ( ( multiply(sk_c9,sk_c8) = sk_c7 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_93,negated_conjecture,
    ( ( multiply(sk_c4,sk_c9) = sk_c8 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_94,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_95,negated_conjecture,
    ( ( multiply(sk_c9,sk_c6) = sk_c8 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_97,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c9 )
    | ( multiply(sk_c7,sk_c9) = sk_c8 ) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_98,negated_conjecture,
    ( ( multiply(sk_c9,sk_c2) = sk_c8 )
    | ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_99,negated_conjecture,
    ( ( multiply(sk_c4,sk_c9) = sk_c8 )
    | ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_100,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_103,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c9 )
    | ( multiply(sk_c9,sk_c2) = sk_c8 ) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_105,negated_conjecture,
    ( ( multiply(sk_c1,sk_c9) = sk_c2 )
    | ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_106,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_109,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c9 )
    | ( multiply(sk_c1,sk_c9) = sk_c2 ) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_111,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_112,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( inverse(sk_c4) = sk_c9 ) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_115,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c9 )
    | ( inverse(sk_c5) = sk_c9 ) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_116,negated_conjecture,
    ( ( multiply(sk_c3,sk_c7) = sk_c9 )
    | ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_117,negated_conjecture,
    ( ( multiply(sk_c3,sk_c7) = sk_c9 )
    | ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_118,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c9 )
    | ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_119,negated_conjecture,
    ( ( multiply(sk_c3,sk_c7) = sk_c9 )
    | ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_120,negated_conjecture,
    ( ( multiply(sk_c3,sk_c7) = sk_c9 )
    | ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_121,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c9 )
    | ( multiply(sk_c3,sk_c7) = sk_c9 ) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_122,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c9,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_123,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_124,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( inverse(sk_c4) = sk_c9 ) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_125,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c9,sk_c6) = sk_c8 ) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_126,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( multiply(sk_c5,sk_c9) = sk_c6 ) ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_127,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c7 )
    | ( inverse(sk_c5) = sk_c9 ) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_128,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( inverse(X3) != sk_c9 )
      | ( inverse(X2) != sk_c9 )
      | ( inverse(X1) != sk_c9 )
      | ( inverse(X0) != sk_c7 )
      | ( multiply(sk_c9,sk_c8) != sk_c7 )
      | ( multiply(sk_c7,sk_c9) != sk_c8 )
      | ( multiply(X3,sk_c9) != sk_c8 )
      | ( multiply(X0,sk_c7) != sk_c9 )
      | ( multiply(sk_c9,multiply(X2,sk_c9)) != sk_c8 )
      | ( multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8 ) ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_469,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c9 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).

tcf(c_470,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != sk_c9 )
      | ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).

tcf(c_471,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ( inverse(X0) != sk_c9 )
      | ( multiply(X0,sk_c9) != sk_c8 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_128]) ).

tcf(c_472,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( multiply(sk_c9,sk_c8) != sk_c7 )
    | ( multiply(sk_c7,sk_c9) != sk_c8 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).

tcf(c_473,definition,
    iPr_def_13 = multiply(sk_c7,sk_c9),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_474,definition,
    iPr_def_14 = multiply(sk_c9,sk_c8),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_475,definition,
    iPr_def_15 = inverse(sk_c5),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_476,definition,
    iPr_def_16 = inverse(sk_c3),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_477,definition,
    iPr_def_17 = multiply(sk_c5,sk_c9),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_478,definition,
    iPr_def_18 = multiply(sk_c9,sk_c6),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_479,definition,
    iPr_def_19 = inverse(sk_c4),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_480,definition,
    iPr_def_20 = multiply(sk_c4,sk_c9),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_481,definition,
    iPr_def_21 = multiply(sk_c3,sk_c7),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_482,definition,
    iPr_def_22 = inverse(sk_c1),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_483,definition,
    iPr_def_23 = multiply(sk_c1,sk_c9),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_484,definition,
    iPr_def_24 = multiply(sk_c9,sk_c2),
    introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).

tcf(c_485,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_14 != sk_c7 )
    | ( iPr_def_13 != sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_472,c_474,c_473]) ).

tcf(c_487,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ( inverse(X0) != sk_c9 )
      | ( multiply(X0,sk_c9) != sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_471]) ).

tcf(c_488,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != sk_c9 )
      | ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_470]) ).

tcf(c_489,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_469]) ).

tcf(c_490,negated_conjecture,
    ( ( iPr_def_16 = sk_c7 )
    | ( iPr_def_15 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_127,c_476,c_475]) ).

tcf(c_491,negated_conjecture,
    ( ( iPr_def_17 = sk_c6 )
    | ( iPr_def_16 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_126,c_477]) ).

tcf(c_492,negated_conjecture,
    ( ( iPr_def_18 = sk_c8 )
    | ( iPr_def_16 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_125,c_478]) ).

tcf(c_493,negated_conjecture,
    ( ( iPr_def_19 = sk_c9 )
    | ( iPr_def_16 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_124,c_479]) ).

tcf(c_494,negated_conjecture,
    ( ( iPr_def_20 = sk_c8 )
    | ( iPr_def_16 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_123,c_480]) ).

tcf(c_495,negated_conjecture,
    ( ( iPr_def_16 = sk_c7 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_122]) ).

tcf(c_496,negated_conjecture,
    ( ( iPr_def_21 = sk_c9 )
    | ( iPr_def_15 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_121,c_481]) ).

tcf(c_497,negated_conjecture,
    ( ( iPr_def_21 = sk_c9 )
    | ( iPr_def_17 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_120]) ).

tcf(c_498,negated_conjecture,
    ( ( iPr_def_21 = sk_c9 )
    | ( iPr_def_18 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_119]) ).

tcf(c_499,negated_conjecture,
    ( ( iPr_def_21 = sk_c9 )
    | ( iPr_def_19 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_118]) ).

tcf(c_500,negated_conjecture,
    ( ( iPr_def_21 = sk_c9 )
    | ( iPr_def_20 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_117]) ).

tcf(c_501,negated_conjecture,
    ( ( iPr_def_21 = sk_c9 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_116]) ).

tcf(c_502,negated_conjecture,
    ( ( iPr_def_22 = sk_c9 )
    | ( iPr_def_15 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_115,c_482]) ).

tcf(c_505,negated_conjecture,
    ( ( iPr_def_22 = sk_c9 )
    | ( iPr_def_19 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_112]) ).

tcf(c_506,negated_conjecture,
    ( ( iPr_def_22 = sk_c9 )
    | ( iPr_def_20 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_111]) ).

tcf(c_508,negated_conjecture,
    ( ( iPr_def_23 = sk_c2 )
    | ( iPr_def_15 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_109,c_483]) ).

tcf(c_511,negated_conjecture,
    ( ( iPr_def_23 = sk_c2 )
    | ( iPr_def_19 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_106]) ).

tcf(c_512,negated_conjecture,
    ( ( iPr_def_23 = sk_c2 )
    | ( iPr_def_20 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_105]) ).

tcf(c_514,negated_conjecture,
    ( ( iPr_def_24 = sk_c8 )
    | ( iPr_def_15 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_103,c_484]) ).

tcf(c_517,negated_conjecture,
    ( ( iPr_def_24 = sk_c8 )
    | ( iPr_def_19 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_100]) ).

tcf(c_518,negated_conjecture,
    ( ( iPr_def_24 = sk_c8 )
    | ( iPr_def_20 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_99]) ).

tcf(c_519,negated_conjecture,
    ( ( iPr_def_24 = sk_c8 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_98]) ).

tcf(c_520,negated_conjecture,
    ( ( iPr_def_15 = sk_c9 )
    | ( iPr_def_13 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_97]) ).

tcf(c_522,negated_conjecture,
    ( ( iPr_def_18 = sk_c8 )
    | ( iPr_def_13 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_95]) ).

tcf(c_523,negated_conjecture,
    ( ( iPr_def_19 = sk_c9 )
    | ( iPr_def_13 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_94]) ).

tcf(c_524,negated_conjecture,
    ( ( iPr_def_20 = sk_c8 )
    | ( iPr_def_13 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_93]) ).

tcf(c_525,negated_conjecture,
    ( ( iPr_def_14 = sk_c7 )
    | ( iPr_def_13 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_92]) ).

tcf(c_526,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_527,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_981,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = sk_c8 )
      | ( iPr_def_13 != X0 )
      | ( sk_c8 != X0 ) ),
    inference(instantiation,[status(thm)],[c_527]) ).

tcf(c_996,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk_c8 = X0 )
      | ( sk_c8 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_527]) ).

tcf(c_997,plain,
    ! [X0: $i] :
      ( ( sk_c8 = X0 )
      | ( sk_c8 != sk_c8 )
      | ( X0 != sk_c8 ) ),
    inference(instantiation,[status(thm)],[c_996]) ).

tcf(c_998,plain,
    sk_c8 = sk_c8,
    inference(instantiation,[status(thm)],[c_526]) ).

tcf(c_1002,plain,
    ( ( sk_c9 = iPr_def_15 )
    | ( multiply(iPr_def_22,sk_c2) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_502,c_484]) ).

tcf(c_1021,plain,
    ( ( sk_c8 = iPr_def_20 )
    | ( iPr_def_20 != sk_c8 )
    | ( sk_c8 != sk_c8 ) ),
    inference(instantiation,[status(thm)],[c_997]) ).

tcf(c_1023,plain,
    multiply(iPr_def_19,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_479,c_90]) ).

tcf(c_1024,plain,
    multiply(iPr_def_15,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_475,c_90]) ).

tcf(c_1025,plain,
    multiply(iPr_def_22,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_482,c_90]) ).

tcf(c_1026,plain,
    multiply(iPr_def_16,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_476,c_90]) ).

tcf(c_1078,plain,
    ( ( iPr_def_13 = sk_c8 )
    | ( iPr_def_13 != iPr_def_20 )
    | ( sk_c8 != iPr_def_20 ) ),
    inference(instantiation,[status(thm)],[c_981]) ).

tcf(c_1126,plain,
    ( ( sk_c8 = iPr_def_20 )
    | ( multiply(sk_c9,iPr_def_23) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_512,c_484]) ).

tcf(c_1256,plain,
    ( ( iPr_def_20 = iPr_def_24 )
    | ( sk_c8 = iPr_def_20 )
    | ( sk_c9 = iPr_def_22 ) ),
    inference(superposition,[status(thm)],[c_518,c_506]) ).

tcf(c_1303,plain,
    ( ( iPr_def_14 = iPr_def_16 )
    | ( sk_c8 = iPr_def_24 )
    | ( sk_c8 = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_519,c_494]) ).

tcf(c_1350,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( sk_c8 = iPr_def_20 )
    | ( sk_c9 = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_520,c_518]) ).

tcf(c_1353,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( sk_c9 = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_520,c_514]) ).

tcf(c_1416,plain,
    ( ( iPr_def_18 = iPr_def_24 )
    | ( sk_c8 = iPr_def_20 )
    | ( sk_c8 = iPr_def_13 ) ),
    inference(superposition,[status(thm)],[c_522,c_518]) ).

tcf(c_1417,plain,
    ( ( iPr_def_18 = iPr_def_24 )
    | ( sk_c8 = iPr_def_13 )
    | ( sk_c9 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_522,c_517]) ).

tcf(c_1450,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = X0 )
      | ( iPr_def_13 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_527]) ).

tcf(c_1475,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( sk_c9 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_523,c_517]) ).

tcf(c_1513,plain,
    ( ( sk_c8 = iPr_def_24 )
    | ( iPr_def_24 != sk_c8 )
    | ( sk_c8 != sk_c8 ) ),
    inference(instantiation,[status(thm)],[c_997]) ).

tcf(c_1517,plain,
    ( ( sk_c8 = iPr_def_13 )
    | ( iPr_def_13 != sk_c8 )
    | ( sk_c8 != sk_c8 ) ),
    inference(instantiation,[status(thm)],[c_997]) ).

tcf(c_1531,plain,
    ( ( iPr_def_13 = iPr_def_20 )
    | ( sk_c8 = iPr_def_13 )
    | ( sk_c9 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_524,c_523]) ).

tcf(c_1745,plain,
    ( ~ iPr_def_12
    | ( sk_c8 != iPr_def_13 )
    | ( inverse(sk_c7) != sk_c9 ) ),
    inference(superposition,[status(thm)],[c_473,c_487]) ).

tcf(c_1746,plain,
    ( ~ iPr_def_12
    | ( sk_c8 != iPr_def_20 )
    | ( inverse(sk_c4) != sk_c9 ) ),
    inference(superposition,[status(thm)],[c_480,c_487]) ).

tcf(c_1766,plain,
    ( ~ iPr_def_12
    | ( sk_c8 != iPr_def_20 )
    | ( sk_c9 != iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_1746,c_479]) ).

tcf(c_1979,plain,
    ( ~ iPr_def_11
    | ( inverse(identity) != sk_c9 )
    | ( multiply(sk_c9,sk_c9) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_89,c_488]) ).

tcf(c_2170,plain,
    ! [X0: $i] : multiply(sk_c7,multiply(sk_c9,X0)) = multiply(iPr_def_13,X0),
    inference(superposition,[status(thm)],[c_473,c_91]) ).

tcf(c_2171,plain,
    ! [X0: $i] : multiply(sk_c9,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
    inference(superposition,[status(thm)],[c_474,c_91]) ).

tcf(c_2172,plain,
    ! [X0: $i] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(iPr_def_20,X0),
    inference(superposition,[status(thm)],[c_480,c_91]) ).

tcf(c_2173,plain,
    ! [X0: $i] : multiply(sk_c9,multiply(sk_c6,X0)) = multiply(iPr_def_18,X0),
    inference(superposition,[status(thm)],[c_478,c_91]) ).

tcf(c_2174,plain,
    ! [X0: $i] : multiply(sk_c5,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0),
    inference(superposition,[status(thm)],[c_477,c_91]) ).

tcf(c_2175,plain,
    ! [X0: $i] : multiply(sk_c9,multiply(sk_c2,X0)) = multiply(iPr_def_24,X0),
    inference(superposition,[status(thm)],[c_484,c_91]) ).

tcf(c_2177,plain,
    ! [X0: $i] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(iPr_def_21,X0),
    inference(superposition,[status(thm)],[c_481,c_91]) ).

tcf(c_2179,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_90,c_91]) ).

tcf(c_2182,plain,
    ! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1023,c_91]) ).

tcf(c_2183,plain,
    ! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1024,c_91]) ).

tcf(c_2184,plain,
    ! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1025,c_91]) ).

tcf(c_2185,plain,
    ! [X0: $i] : multiply(iPr_def_16,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1026,c_91]) ).

tcf(c_2190,plain,
    ! [X0: $i] : multiply(iPr_def_16,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2185,c_89]) ).

tcf(c_2191,plain,
    ! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2184,c_89]) ).

tcf(c_2192,plain,
    ! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2183,c_89]) ).

tcf(c_2193,plain,
    ! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2182,c_89]) ).

tcf(c_2612,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( multiply(sk_c5,iPr_def_15) = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_1353,c_477]) ).

tcf(c_2682,plain,
    ( ( iPr_def_15 = iPr_def_19 )
    | ( iPr_def_13 = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_1475,c_1353]) ).

tcf(c_2691,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_1475,c_480]) ).

tcf(c_2697,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( multiply(iPr_def_19,sk_c8) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_1475,c_474]) ).

tcf(c_2875,plain,
    multiply(iPr_def_16,iPr_def_21) = sk_c7,
    inference(superposition,[status(thm)],[c_481,c_2190]) ).

tcf(c_3224,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = X0 )
      | ( iPr_def_13 != sk_c8 )
      | ( X0 != sk_c8 ) ),
    inference(instantiation,[status(thm)],[c_1450]) ).

tcf(c_3327,plain,
    ! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_2875,c_91]) ).

tcf(c_3329,plain,
    multiply(iPr_def_22,iPr_def_23) = sk_c9,
    inference(superposition,[status(thm)],[c_483,c_2191]) ).

tcf(c_3359,plain,
    ! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c9,X0),
    inference(superposition,[status(thm)],[c_3329,c_91]) ).

tcf(c_3361,plain,
    multiply(iPr_def_15,iPr_def_17) = sk_c9,
    inference(superposition,[status(thm)],[c_477,c_2192]) ).

tcf(c_3367,plain,
    ! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0),
    inference(superposition,[status(thm)],[c_3361,c_91]) ).

tcf(c_3369,plain,
    multiply(iPr_def_19,iPr_def_20) = sk_c9,
    inference(superposition,[status(thm)],[c_480,c_2193]) ).

tcf(c_3406,plain,
    ! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c9,X0),
    inference(superposition,[status(thm)],[c_3369,c_91]) ).

tcf(c_5998,plain,
    ( ( sk_c9 = iPr_def_15 )
    | ( multiply(iPr_def_22,iPr_def_23) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_508,c_1002]) ).

tcf(c_6000,plain,
    ( ( sk_c9 = iPr_def_24 )
    | ( sk_c9 = iPr_def_15 ) ),
    inference(light_normalisation,[status(thm)],[c_5998,c_3329]) ).

tcf(c_6431,plain,
    ( ( sk_c9 = iPr_def_15 )
    | ( multiply(sk_c5,iPr_def_24) = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_6000,c_477]) ).

tcf(c_6434,plain,
    ( ( iPr_def_21 = iPr_def_24 )
    | ( sk_c9 = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_6000,c_496]) ).

tcf(c_6897,plain,
    ( ( iPr_def_21 = iPr_def_24 )
    | ( multiply(iPr_def_15,sk_c8) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_6434,c_474]) ).

tcf(c_8221,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( iPr_def_24 != sk_c8 )
    | ( iPr_def_13 != sk_c8 ) ),
    inference(instantiation,[status(thm)],[c_3224]) ).

tcf(c_9503,plain,
    multiply(sk_c7,iPr_def_14) = multiply(iPr_def_13,sk_c8),
    inference(superposition,[status(thm)],[c_474,c_2170]) ).

tcf(c_9504,plain,
    multiply(sk_c7,iPr_def_18) = multiply(iPr_def_13,sk_c6),
    inference(superposition,[status(thm)],[c_478,c_2170]) ).

tcf(c_10063,plain,
    multiply(sk_c4,iPr_def_14) = multiply(iPr_def_20,sk_c8),
    inference(superposition,[status(thm)],[c_474,c_2172]) ).

tcf(c_10064,plain,
    multiply(sk_c4,iPr_def_18) = multiply(iPr_def_20,sk_c6),
    inference(superposition,[status(thm)],[c_478,c_2172]) ).

tcf(c_10065,plain,
    multiply(sk_c4,iPr_def_24) = multiply(iPr_def_20,sk_c2),
    inference(superposition,[status(thm)],[c_484,c_2172]) ).

tcf(c_10328,plain,
    multiply(iPr_def_19,multiply(iPr_def_20,sk_c8)) = iPr_def_14,
    inference(superposition,[status(thm)],[c_10063,c_2193]) ).

tcf(c_10490,plain,
    multiply(iPr_def_19,multiply(iPr_def_20,sk_c6)) = iPr_def_18,
    inference(superposition,[status(thm)],[c_10064,c_2193]) ).

tcf(c_10496,plain,
    multiply(iPr_def_19,multiply(iPr_def_20,sk_c2)) = iPr_def_24,
    inference(superposition,[status(thm)],[c_10065,c_2193]) ).

tcf(c_10660,plain,
    multiply(sk_c5,iPr_def_14) = multiply(iPr_def_17,sk_c8),
    inference(superposition,[status(thm)],[c_474,c_2174]) ).

tcf(c_10662,plain,
    multiply(sk_c5,iPr_def_24) = multiply(iPr_def_17,sk_c2),
    inference(superposition,[status(thm)],[c_484,c_2174]) ).

tcf(c_10675,plain,
    ( ( sk_c8 = iPr_def_20 )
    | ( multiply(sk_c5,iPr_def_24) = multiply(iPr_def_17,iPr_def_23) ) ),
    inference(superposition,[status(thm)],[c_1126,c_2174]) ).

tcf(c_10856,plain,
    multiply(iPr_def_15,multiply(iPr_def_17,sk_c8)) = iPr_def_14,
    inference(superposition,[status(thm)],[c_10660,c_2192]) ).

tcf(c_11043,plain,
    ( ( iPr_def_15 = iPr_def_19 )
    | ( multiply(sk_c5,iPr_def_13) = multiply(iPr_def_17,sk_c2) ) ),
    inference(superposition,[status(thm)],[c_2682,c_10662]) ).

tcf(c_11705,plain,
    ( ( sk_c8 = iPr_def_20 )
    | ( sk_c8 = iPr_def_24 ) ),
    inference(global_subsumption_just,[status(thm)],[c_1303,c_518,c_998,c_1021,c_1513]) ).

tcf(c_11706,plain,
    ( ( sk_c8 = iPr_def_24 )
    | ( sk_c8 = iPr_def_20 ) ),
    inference(renaming,[status(thm)],[c_11705]) ).

tcf(c_11857,plain,
    multiply(sk_c3,iPr_def_13) = multiply(iPr_def_21,sk_c9),
    inference(superposition,[status(thm)],[c_473,c_2177]) ).

tcf(c_11865,plain,
    multiply(sk_c3,multiply(iPr_def_13,sk_c8)) = multiply(iPr_def_21,iPr_def_14),
    inference(superposition,[status(thm)],[c_9503,c_2177]) ).

tcf(c_11947,plain,
    multiply(iPr_def_16,multiply(iPr_def_21,sk_c9)) = iPr_def_13,
    inference(superposition,[status(thm)],[c_11857,c_2190]) ).

tcf(c_12068,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( sk_c8 = iPr_def_20 ) ),
    inference(global_subsumption_just,[status(thm)],[c_1350,c_518,c_524,c_998,c_1021,c_8221]) ).

tcf(c_12616,plain,
    ( ( sk_c8 = iPr_def_13 )
    | ( sk_c8 = iPr_def_20 ) ),
    inference(global_subsumption_just,[status(thm)],[c_1416,c_524,c_998,c_1021,c_1517]) ).

tcf(c_12617,plain,
    ( ( sk_c8 = iPr_def_20 )
    | ( sk_c8 = iPr_def_13 ) ),
    inference(renaming,[status(thm)],[c_12616]) ).

tcf(c_12675,plain,
    ( ( sk_c9 = iPr_def_19 )
    | ( sk_c8 = iPr_def_13 ) ),
    inference(global_subsumption_just,[status(thm)],[c_1417,c_998,c_1078,c_1517,c_1531,c_12617]) ).

tcf(c_12676,plain,
    ( ( sk_c8 = iPr_def_13 )
    | ( sk_c9 = iPr_def_19 ) ),
    inference(renaming,[status(thm)],[c_12675]) ).

tcf(c_13687,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( multiply(iPr_def_19,iPr_def_20) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_12068,c_2697]) ).

tcf(c_13718,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( sk_c9 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_13687,c_3369]) ).

tcf(c_13837,plain,
    ( ( iPr_def_14 = iPr_def_15 )
    | ( iPr_def_13 = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_13718,c_1353]) ).

tcf(c_14154,plain,
    ( ( iPr_def_14 = iPr_def_15 )
    | ( multiply(sk_c5,iPr_def_13) = multiply(iPr_def_17,sk_c2) ) ),
    inference(superposition,[status(thm)],[c_13837,c_10662]) ).

tcf(c_15736,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2179,c_89]) ).

tcf(c_15741,plain,
    multiply(inverse(sk_c7),iPr_def_13) = sk_c9,
    inference(superposition,[status(thm)],[c_473,c_15736]) ).

tcf(c_15742,plain,
    multiply(inverse(sk_c9),iPr_def_14) = sk_c8,
    inference(superposition,[status(thm)],[c_474,c_15736]) ).

tcf(c_15744,plain,
    multiply(inverse(sk_c9),iPr_def_18) = sk_c6,
    inference(superposition,[status(thm)],[c_478,c_15736]) ).

tcf(c_15746,plain,
    multiply(inverse(sk_c9),iPr_def_24) = sk_c2,
    inference(superposition,[status(thm)],[c_484,c_15736]) ).

tcf(c_15749,plain,
    ! [X0: $i] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_89,c_15736]) ).

tcf(c_15750,plain,
    ! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_90,c_15736]) ).

tcf(c_15852,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2193,c_15736]) ).

tcf(c_15853,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2192,c_15736]) ).

tcf(c_15854,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_2191,c_15736]) ).

tcf(c_15855,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_2190,c_15736]) ).

tcf(c_15937,plain,
    multiply(inverse(sk_c7),multiply(iPr_def_13,sk_c8)) = iPr_def_14,
    inference(superposition,[status(thm)],[c_9503,c_15736]) ).

tcf(c_15945,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_15736,c_15736]) ).

tcf(c_17224,plain,
    ! [X0: $i] : multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_15750,c_15945]) ).

tcf(c_17233,plain,
    multiply(sk_c5,sk_c9) = multiply(iPr_def_17,identity),
    inference(superposition,[status(thm)],[c_17224,c_2174]) ).

tcf(c_17235,plain,
    multiply(sk_c7,sk_c9) = multiply(iPr_def_13,identity),
    inference(superposition,[status(thm)],[c_17224,c_2170]) ).

tcf(c_17240,plain,
    multiply(sk_c9,sk_c8) = multiply(iPr_def_14,identity),
    inference(superposition,[status(thm)],[c_17224,c_2171]) ).

tcf(c_17241,plain,
    multiply(sk_c9,identity) = multiply(iPr_def_19,iPr_def_20),
    inference(superposition,[status(thm)],[c_17224,c_3406]) ).

tcf(c_17242,plain,
    multiply(sk_c9,sk_c6) = multiply(iPr_def_18,identity),
    inference(superposition,[status(thm)],[c_17224,c_2173]) ).

tcf(c_17243,plain,
    multiply(sk_c9,identity) = multiply(iPr_def_15,iPr_def_17),
    inference(superposition,[status(thm)],[c_17224,c_3367]) ).

tcf(c_17244,plain,
    multiply(sk_c9,sk_c2) = multiply(iPr_def_24,identity),
    inference(superposition,[status(thm)],[c_17224,c_2175]) ).

tcf(c_17245,plain,
    multiply(sk_c9,identity) = multiply(iPr_def_22,iPr_def_23),
    inference(superposition,[status(thm)],[c_17224,c_3359]) ).

tcf(c_17246,plain,
    multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_21),
    inference(superposition,[status(thm)],[c_17224,c_3327]) ).

tcf(c_17252,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_17224,c_15749]) ).

tcf(c_17254,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_17246,c_2875]) ).

tcf(c_17255,plain,
    multiply(sk_c9,identity) = sk_c9,
    inference(light_normalisation,[status(thm)],[c_17245,c_3329]) ).

tcf(c_17256,plain,
    multiply(iPr_def_24,identity) = iPr_def_24,
    inference(light_normalisation,[status(thm)],[c_17244,c_484]) ).

tcf(c_17258,plain,
    multiply(iPr_def_18,identity) = iPr_def_18,
    inference(light_normalisation,[status(thm)],[c_17242,c_478]) ).

tcf(c_17260,plain,
    multiply(iPr_def_14,identity) = iPr_def_14,
    inference(light_normalisation,[status(thm)],[c_17240,c_474]) ).

tcf(c_17261,plain,
    multiply(iPr_def_13,identity) = iPr_def_13,
    inference(light_normalisation,[status(thm)],[c_17235,c_473]) ).

tcf(c_17263,plain,
    multiply(iPr_def_17,identity) = iPr_def_17,
    inference(light_normalisation,[status(thm)],[c_17233,c_477]) ).

tcf(c_17373,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_17252,c_90]) ).

tcf(c_17899,plain,
    ( ~ iPr_def_12
    | ( inverse(inverse(iPr_def_19)) != sk_c9 )
    | ( multiply(sk_c4,sk_c9) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_15852,c_487]) ).

tcf(c_17900,plain,
    multiply(sk_c4,iPr_def_19) = identity,
    inference(superposition,[status(thm)],[c_15852,c_90]) ).

tcf(c_17904,plain,
    ! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
    inference(superposition,[status(thm)],[c_15852,c_15736]) ).

tcf(c_17905,plain,
    multiply(sk_c4,identity) = inverse(iPr_def_19),
    inference(superposition,[status(thm)],[c_15852,c_17224]) ).

tcf(c_17912,plain,
    ( ~ iPr_def_12
    | ( sk_c8 != iPr_def_20 )
    | ( inverse(inverse(iPr_def_19)) != sk_c9 ) ),
    inference(light_normalisation,[status(thm)],[c_17899,c_480]) ).

tcf(c_17922,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( identity = iPr_def_20 ) ),
    inference(demodulation,[status(thm)],[c_2691,c_17900]) ).

tcf(c_18328,plain,
    inverse(iPr_def_19) = sk_c4,
    inference(demodulation,[status(thm)],[c_17905,c_17224]) ).

tcf(c_18347,plain,
    multiply(sk_c4,sk_c9) = iPr_def_20,
    inference(superposition,[status(thm)],[c_3369,c_17904]) ).

tcf(c_19388,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(iPr_def_15)) != sk_c9 )
    | ( multiply(sk_c9,multiply(sk_c5,sk_c9)) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_15853,c_488]) ).

tcf(c_19390,plain,
    multiply(sk_c5,iPr_def_15) = identity,
    inference(superposition,[status(thm)],[c_15853,c_90]) ).

tcf(c_19393,plain,
    ( ~ iPr_def_10
    | ( inverse(inverse(iPr_def_15)) != sk_c7 )
    | ( multiply(sk_c5,sk_c7) != sk_c9 ) ),
    inference(superposition,[status(thm)],[c_15853,c_489]) ).

tcf(c_19394,plain,
    ! [X0: $i] : multiply(sk_c5,multiply(iPr_def_15,X0)) = X0,
    inference(superposition,[status(thm)],[c_15853,c_15736]) ).

tcf(c_19395,plain,
    multiply(sk_c5,identity) = inverse(iPr_def_15),
    inference(superposition,[status(thm)],[c_15853,c_17224]) ).

tcf(c_19403,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(iPr_def_15)) != sk_c9 )
    | ( multiply(sk_c9,iPr_def_17) != sk_c8 ) ),
    inference(light_normalisation,[status(thm)],[c_19388,c_477]) ).

tcf(c_19408,plain,
    ( ( iPr_def_13 = iPr_def_24 )
    | ( identity = iPr_def_17 ) ),
    inference(demodulation,[status(thm)],[c_2612,c_19390]) ).

tcf(c_19426,plain,
    multiply(iPr_def_15,identity) = iPr_def_15,
    inference(superposition,[status(thm)],[c_19390,c_2192]) ).

tcf(c_19429,plain,
    inverse(iPr_def_15) = sk_c5,
    inference(demodulation,[status(thm)],[c_19395,c_17224]) ).

tcf(c_19588,plain,
    ( ( iPr_def_17 = iPr_def_20 )
    | ( iPr_def_13 = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_19408,c_17922]) ).

tcf(c_19678,plain,
    multiply(sk_c5,sk_c9) = iPr_def_17,
    inference(superposition,[status(thm)],[c_3361,c_19394]) ).

tcf(c_19853,plain,
    ( ( iPr_def_17 = iPr_def_20 )
    | ( multiply(sk_c5,iPr_def_13) = multiply(iPr_def_17,sk_c2) ) ),
    inference(superposition,[status(thm)],[c_19588,c_10662]) ).

tcf(c_20526,plain,
    ( ~ iPr_def_12
    | ( inverse(inverse(iPr_def_22)) != sk_c9 )
    | ( multiply(sk_c1,sk_c9) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_15854,c_487]) ).

tcf(c_20527,plain,
    multiply(sk_c1,iPr_def_22) = identity,
    inference(superposition,[status(thm)],[c_15854,c_90]) ).

tcf(c_20531,plain,
    ! [X0: $i] : multiply(sk_c1,multiply(iPr_def_22,X0)) = X0,
    inference(superposition,[status(thm)],[c_15854,c_15736]) ).

tcf(c_20532,plain,
    multiply(sk_c1,identity) = inverse(iPr_def_22),
    inference(superposition,[status(thm)],[c_15854,c_17224]) ).

tcf(c_20544,plain,
    ( ~ iPr_def_12
    | ( sk_c8 != iPr_def_23 )
    | ( inverse(inverse(iPr_def_22)) != sk_c9 ) ),
    inference(light_normalisation,[status(thm)],[c_20526,c_483]) ).

tcf(c_20618,plain,
    ( ~ iPr_def_12
    | ( inverse(sk_c7) != sk_c9 ) ),
    inference(global_subsumption_just,[status(thm)],[c_1745,c_1766,c_1745,c_12617,c_12676]) ).

tcf(c_20641,plain,
    ( ( sk_c7 = iPr_def_14 )
    | ~ iPr_def_12
    | ( inverse(iPr_def_16) != sk_c9 ) ),
    inference(superposition,[status(thm)],[c_495,c_20618]) ).

tcf(c_20642,plain,
    ( ( sk_c8 = iPr_def_20 )
    | ~ iPr_def_12
    | ( inverse(iPr_def_16) != sk_c9 ) ),
    inference(superposition,[status(thm)],[c_494,c_20618]) ).

tcf(c_20643,plain,
    ( ( sk_c9 = iPr_def_19 )
    | ~ iPr_def_12
    | ( inverse(iPr_def_16) != sk_c9 ) ),
    inference(superposition,[status(thm)],[c_493,c_20618]) ).

tcf(c_20728,plain,
    ( ( inverse(iPr_def_16) != sk_c9 )
    | ~ iPr_def_12 ),
    inference(global_subsumption_just,[status(thm)],[c_20641,c_1766,c_20642,c_20643]) ).

tcf(c_20729,plain,
    ( ~ iPr_def_12
    | ( inverse(iPr_def_16) != sk_c9 ) ),
    inference(renaming,[status(thm)],[c_20728]) ).

tcf(c_21713,plain,
    inverse(iPr_def_22) = sk_c1,
    inference(demodulation,[status(thm)],[c_20532,c_17224]) ).

tcf(c_21780,plain,
    multiply(sk_c1,sk_c9) = iPr_def_23,
    inference(superposition,[status(thm)],[c_3329,c_20531]) ).

tcf(c_22968,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(iPr_def_16)) != sk_c9 )
    | ( multiply(sk_c9,multiply(sk_c3,sk_c9)) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_15855,c_488]) ).

tcf(c_22970,plain,
    multiply(sk_c3,iPr_def_16) = identity,
    inference(superposition,[status(thm)],[c_15855,c_90]) ).

tcf(c_22973,plain,
    ( ~ iPr_def_10
    | ( inverse(inverse(iPr_def_16)) != sk_c7 )
    | ( multiply(sk_c3,sk_c7) != sk_c9 ) ),
    inference(superposition,[status(thm)],[c_15855,c_489]) ).

tcf(c_22974,plain,
    ! [X0: $i] : multiply(sk_c3,multiply(iPr_def_16,X0)) = X0,
    inference(superposition,[status(thm)],[c_15855,c_15736]) ).

tcf(c_22975,plain,
    multiply(sk_c3,identity) = inverse(iPr_def_16),
    inference(superposition,[status(thm)],[c_15855,c_17224]) ).

tcf(c_22976,plain,
    ( ~ iPr_def_10
    | ( sk_c9 != iPr_def_21 )
    | ( inverse(inverse(iPr_def_16)) != sk_c7 ) ),
    inference(light_normalisation,[status(thm)],[c_22973,c_481]) ).

tcf(c_23037,plain,
    multiply(iPr_def_16,identity) = iPr_def_16,
    inference(superposition,[status(thm)],[c_22970,c_2190]) ).

tcf(c_23040,plain,
    inverse(iPr_def_16) = sk_c3,
    inference(demodulation,[status(thm)],[c_22975,c_17224]) ).

tcf(c_23042,plain,
    ( ~ iPr_def_12
    | ( sk_c9 != sk_c3 ) ),
    inference(demodulation,[status(thm)],[c_20729,c_23040]) ).

tcf(c_24424,plain,
    multiply(sk_c3,sk_c7) = iPr_def_21,
    inference(superposition,[status(thm)],[c_2875,c_22974]) ).

tcf(c_24974,plain,
    ( ( sk_c9 = iPr_def_15 )
    | ( multiply(iPr_def_17,sk_c2) = iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_6431,c_10662]) ).

tcf(c_30967,plain,
    ( ( iPr_def_21 = iPr_def_24 )
    | ( iPr_def_20 = iPr_def_24 )
    | ( sk_c9 = iPr_def_22 )
    | ( multiply(iPr_def_15,iPr_def_20) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_1256,c_6897]) ).

tcf(c_35175,plain,
    ( ~ iPr_def_11
    | ( sk_c9 != identity )
    | ( multiply(sk_c9,sk_c9) != sk_c8 ) ),
    inference(light_normalisation,[status(thm)],[c_1979,c_17252]) ).

tcf(c_37969,plain,
    ( ~ iPr_def_10
    | ( sk_c7 != iPr_def_15 )
    | ( multiply(sk_c5,sk_c7) != sk_c9 ) ),
    inference(light_normalisation,[status(thm)],[c_19393,c_475,c_19429]) ).

tcf(c_42417,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_37969,c_35175,c_30967,c_24974,c_24424,c_23042,c_23040,c_23037,c_22976,c_22968,c_22970,c_21780,c_21713,c_20544,c_20527,c_19853,c_19678,c_19429,c_19426,c_19403,c_19390,c_18347,c_18328,c_17912,c_17905,c_17900,c_17263,c_17261,c_17260,c_17258,c_17256,c_17255,c_17254,c_17246,c_17245,c_17244,c_17243,c_17242,c_17241,c_17240,c_17235,c_17252,c_15937,c_15746,c_15744,c_15742,c_15741,c_14154,c_11947,c_11865,c_11857,c_11706,c_11043,c_10856,c_10675,c_10662,c_10660,c_10496,c_10490,c_10328,c_10065,c_10064,c_10063,c_9504,c_9503,c_17373,c_525,c_523,c_517,c_511,c_505,c_501,c_500,c_499,c_498,c_497,c_496,c_495,c_494,c_493,c_492,c_491,c_490,c_485,c_482,c_479,c_476,c_475]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP364-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n005.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Wed Sep 23 14:34:17 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 0.10/0.41  
% 0.10/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41  
% 0.10/0.41  % Detected problem language: tptp
% 0.10/0.42  % Proving...
% 14.50/2.70  % SZS status Started for theBenchmark.p
% 14.50/2.70  % SZS status Unsatisfiable for theBenchmark.p
% 14.50/2.70  
% 14.50/2.70  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.50/2.70  
% 14.50/2.70  % ------  iProver source info
% 14.50/2.70  
% 14.50/2.70  % git: date: 2026-07-19 20:42:38 +0200
% 14.50/2.70  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.50/2.70  % git: non_committed_changes: false
% 14.50/2.70  
% 14.50/2.70  % ------ Parsing...% successful
% 14.50/2.70  
% 14.50/2.70  
% 14.50/2.70  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 14.50/2.70  
% 14.50/2.70  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 14.50/2.70  
% 14.50/2.70  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 14.50/2.70  
% 14.50/2.70  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 14.50/2.70  % ------ Proving...
% 14.50/2.70  % ------ Problem Properties 
% 14.50/2.70  
% 14.50/2.70  % 
% 14.50/2.70  % clauses                               55
% 14.50/2.70  % conjectures                           40
% 14.50/2.70  % EPR                                   37
% 14.50/2.70  % Horn                                  18
% 14.50/2.70  % unary                                 15
% 14.50/2.70  % binary                                36
% 14.50/2.70  % lits                                  101
% 14.50/2.70  % lits eq                               95
% 14.50/2.70  % fd_pure                               0
% 14.50/2.70  % fd_pseudo                             0
% 14.50/2.70  % fd_cond                               0
% 14.50/2.70  % fd_pseudo_cond                        0
% 14.50/2.70  % AC symbols                            0
% 14.50/2.70  
% 14.50/2.70  % ------ Schedule dynamic 5 is on 
% 14.50/2.70  
% 14.50/2.70  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.50/2.70  
% 14.50/2.70  
% 14.50/2.70  % ------ 
% 14.50/2.70  % Current options:
% 14.50/2.70  % ------ 
% 14.50/2.70  
% 14.50/2.70  
% 14.50/2.70  % 
% 14.50/2.70  
% 14.50/2.70  % ------ Proving...
% 14.50/2.70  % 
% 14.50/2.70  
% 14.50/2.70  % SZS status Unsatisfiable for theBenchmark.p
% 14.50/2.70  
% 14.50/2.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.50/2.70  
% 14.50/2.70  
%------------------------------------------------------------------------------