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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP331-1 : 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 : n014.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 01:33:02 PM UTC 2026

% Result   : Unsatisfiable 10.76s 2.73s
% Output   : CNFRefutation 10.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  317 (  99 unt;  11 def)
%            Number of atoms       :  989 ( 552 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  454 ( 135   ~; 319   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   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  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   77 (   0 sgn  77   !;   0   ?;  61   :)

% 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_c3,sk_c8) = sk_c7
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f6,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    inference(reorient_equations,[],[f5]) ).

fof(f7,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f8,plain,
    ( sk_c8 = inverse(sk_c3)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    inference(reorient_equations,[],[f7]) ).

fof(f9,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f10,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    inference(reorient_equations,[],[f9]) ).

fof(f11,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f12,plain,
    ( sk_c7 = inverse(sk_c4)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    inference(reorient_equations,[],[f11]) ).

fof(f13,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f14,plain,
    ( sk_c6 = inverse(sk_c5)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    inference(reorient_equations,[],[f13]) ).

fof(f15,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f16,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    inference(reorient_equations,[],[f15]) ).

fof(f17,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f18,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f17]) ).

fof(f19,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c1,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f20,plain,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f19]) ).

fof(f21,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f22,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f21]) ).

fof(f23,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f24,plain,
    ( sk_c7 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f23]) ).

fof(f25,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f26,plain,
    ( sk_c6 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f25]) ).

fof(f27,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f28,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    inference(reorient_equations,[],[f27]) ).

fof(f29,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f30,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f29]) ).

fof(f31,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f32,plain,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f31]) ).

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

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

fof(f35,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f36,plain,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f35]) ).

fof(f37,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f38,plain,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f37]) ).

fof(f39,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f40,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f39]) ).

fof(f41,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f42,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f41]) ).

fof(f43,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f44,plain,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f43]) ).

fof(f45,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f46,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f45]) ).

fof(f47,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f48,plain,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f47]) ).

fof(f49,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f50,plain,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f49]) ).

fof(f51,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f52,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f51]) ).

fof(f53,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f54,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f53]) ).

fof(f55,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f56,plain,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f55]) ).

fof(f57,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f58,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f57]) ).

fof(f59,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f60,plain,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f59]) ).

fof(f61,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f62,plain,
    ( sk_c6 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f61]) ).

fof(f63,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f64,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    inference(reorient_equations,[],[f63]) ).

fof(f65,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( multiply(X4,sk_c8) != sk_c6
      | inverse(X4) != sk_c6
      | inverse(X3) != sk_c7
      | multiply(X3,sk_c7) != sk_c6
      | inverse(X2) != sk_c8
      | multiply(X2,sk_c8) != sk_c7
      | multiply(X1,sk_c6) != sk_c7
      | inverse(X1) != sk_c7
      | inverse(X0) != sk_c7
      | multiply(X0,sk_c7) != sk_c8
      | multiply(sk_c7,sk_c8) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f66,plain,
    ! [X2,X3,X0,X1,X4] :
      ( sk_c6 != multiply(X4,sk_c8)
      | sk_c6 != inverse(X4)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X2)
      | sk_c7 != multiply(X2,sk_c8)
      | sk_c7 != multiply(X1,sk_c6)
      | sk_c7 != inverse(X1)
      | inverse(X0) != sk_c7
      | sk_c8 != multiply(X0,sk_c7)
      | multiply(sk_c7,sk_c8) != sk_c6 ),
    inference(reorient_equations,[],[f65]) ).

tcf(c_83,plain,
    ! [X0: $i] : multiply(identity,X0) = X0,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_84,plain,
    ! [X0: $i] : multiply(inverse(X0),X0) = identity,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_86,negated_conjecture,
    ( ( multiply(sk_c3,sk_c8) = sk_c7 )
    | ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_87,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c8 )
    | ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_88,negated_conjecture,
    ( ( multiply(sk_c4,sk_c7) = sk_c6 )
    | ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_89,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c7 )
    | ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_90,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c6 )
    | ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_91,negated_conjecture,
    ( ( multiply(sk_c5,sk_c8) = sk_c6 )
    | ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_92,negated_conjecture,
    ( ( multiply(sk_c1,sk_c7) = sk_c8 )
    | ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_93,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c8 )
    | ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_94,negated_conjecture,
    ( ( multiply(sk_c1,sk_c7) = sk_c8 )
    | ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_95,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c7 )
    | ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_96,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c6 )
    | ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_97,negated_conjecture,
    ( ( multiply(sk_c1,sk_c7) = sk_c8 )
    | ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_98,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_99,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( inverse(sk_c3) = sk_c8 ) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_100,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_101,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( inverse(sk_c4) = sk_c7 ) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_102,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( inverse(sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_103,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c7 )
    | ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_104,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_105,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( inverse(sk_c3) = sk_c8 ) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_106,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_107,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( inverse(sk_c4) = sk_c7 ) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_108,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( inverse(sk_c5) = sk_c6 ) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_109,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c7 )
    | ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_110,negated_conjecture,
    ( ( multiply(sk_c2,sk_c6) = sk_c7 )
    | ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_111,negated_conjecture,
    ( ( inverse(sk_c3) = sk_c8 )
    | ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_112,negated_conjecture,
    ( ( multiply(sk_c2,sk_c6) = sk_c7 )
    | ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_113,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c7 )
    | ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_114,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c6 )
    | ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_115,negated_conjecture,
    ( ( multiply(sk_c2,sk_c6) = sk_c7 )
    | ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_116,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( inverse(X4) != sk_c6 )
      | ( inverse(X3) != sk_c7 )
      | ( inverse(X2) != sk_c8 )
      | ( inverse(X1) != sk_c7 )
      | ( inverse(X0) != sk_c7 )
      | ( multiply(sk_c7,sk_c8) != sk_c6 )
      | ( multiply(X4,sk_c8) != sk_c6 )
      | ( multiply(X3,sk_c7) != sk_c6 )
      | ( multiply(X2,sk_c8) != sk_c7 )
      | ( multiply(X1,sk_c6) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c8 ) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ( inverse(X0) != sk_c8 )
      | ( multiply(X0,sk_c8) != sk_c7 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c6 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c6) != sk_c7 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ( inverse(X0) != sk_c6 )
      | ( multiply(X0,sk_c8) != sk_c6 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c8 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_116]) ).

tcf(c_418,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).

tcf(c_419,definition,
    iPr_def_15 = multiply(sk_c7,sk_c8),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_420,definition,
    iPr_def_16 = multiply(sk_c5,sk_c8),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_421,definition,
    iPr_def_17 = multiply(sk_c2,sk_c6),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_422,definition,
    iPr_def_18 = inverse(sk_c5),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_423,definition,
    iPr_def_19 = inverse(sk_c4),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_424,definition,
    iPr_def_20 = multiply(sk_c4,sk_c7),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_425,definition,
    iPr_def_21 = inverse(sk_c3),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_426,definition,
    iPr_def_22 = multiply(sk_c3,sk_c8),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_427,definition,
    iPr_def_23 = inverse(sk_c2),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_428,definition,
    iPr_def_24 = inverse(sk_c1),
    introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).

tcf(c_429,definition,
    iPr_def_25 = multiply(sk_c1,sk_c7),
    introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).

tcf(c_430,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_15 != sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_418,c_419]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_417]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ( inverse(X0) != sk_c6 )
      | ( multiply(X0,sk_c8) != sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_416]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c6) != sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_415]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != sk_c7 )
      | ( multiply(X0,sk_c7) != sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_414]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ( inverse(X0) != sk_c8 )
      | ( multiply(X0,sk_c8) != sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_413]) ).

tcf(c_436,negated_conjecture,
    ( ( iPr_def_17 = sk_c7 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_115,c_421,c_420]) ).

tcf(c_437,negated_conjecture,
    ( ( iPr_def_18 = sk_c6 )
    | ( iPr_def_17 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_114,c_422]) ).

tcf(c_438,negated_conjecture,
    ( ( iPr_def_19 = sk_c7 )
    | ( iPr_def_17 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_113,c_423]) ).

tcf(c_439,negated_conjecture,
    ( ( iPr_def_20 = sk_c6 )
    | ( iPr_def_17 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_112,c_424]) ).

tcf(c_440,negated_conjecture,
    ( ( iPr_def_21 = sk_c8 )
    | ( iPr_def_17 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_111,c_425]) ).

tcf(c_441,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_17 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_110,c_426]) ).

tcf(c_442,negated_conjecture,
    ( ( iPr_def_23 = sk_c7 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_109,c_427]) ).

tcf(c_443,negated_conjecture,
    ( ( iPr_def_23 = sk_c7 )
    | ( iPr_def_18 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_108]) ).

tcf(c_444,negated_conjecture,
    ( ( iPr_def_23 = sk_c7 )
    | ( iPr_def_19 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_107]) ).

tcf(c_445,negated_conjecture,
    ( ( iPr_def_23 = sk_c7 )
    | ( iPr_def_20 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_106]) ).

tcf(c_446,negated_conjecture,
    ( ( iPr_def_23 = sk_c7 )
    | ( iPr_def_21 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_105]) ).

tcf(c_447,negated_conjecture,
    ( ( iPr_def_23 = sk_c7 )
    | ( iPr_def_22 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_104]) ).

tcf(c_448,negated_conjecture,
    ( ( iPr_def_24 = sk_c7 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_103,c_428]) ).

tcf(c_449,negated_conjecture,
    ( ( iPr_def_24 = sk_c7 )
    | ( iPr_def_18 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_102]) ).

tcf(c_450,negated_conjecture,
    ( ( iPr_def_24 = sk_c7 )
    | ( iPr_def_19 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_101]) ).

tcf(c_451,negated_conjecture,
    ( ( iPr_def_24 = sk_c7 )
    | ( iPr_def_20 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_100]) ).

tcf(c_452,negated_conjecture,
    ( ( iPr_def_24 = sk_c7 )
    | ( iPr_def_21 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_99]) ).

tcf(c_453,negated_conjecture,
    ( ( iPr_def_24 = sk_c7 )
    | ( iPr_def_22 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_98]) ).

tcf(c_454,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_16 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_97,c_429]) ).

tcf(c_455,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_18 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_96]) ).

tcf(c_456,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_19 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_95]) ).

tcf(c_457,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_20 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_94]) ).

tcf(c_458,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_21 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_93]) ).

tcf(c_459,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_22 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_92]) ).

tcf(c_460,negated_conjecture,
    ( ( iPr_def_16 = sk_c6 )
    | ( iPr_def_15 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_91]) ).

tcf(c_461,negated_conjecture,
    ( ( iPr_def_18 = sk_c6 )
    | ( iPr_def_15 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_90]) ).

tcf(c_462,negated_conjecture,
    ( ( iPr_def_19 = sk_c7 )
    | ( iPr_def_15 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_89]) ).

tcf(c_463,negated_conjecture,
    ( ( iPr_def_20 = sk_c6 )
    | ( iPr_def_15 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_88]) ).

tcf(c_464,negated_conjecture,
    ( ( iPr_def_21 = sk_c8 )
    | ( iPr_def_15 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_87]) ).

tcf(c_465,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_15 = sk_c6 ) ),
    inference(demodulation,[status(thm)],[c_86]) ).

tcf(c_466,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_467,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_706,plain,
    ( ( iPr_def_18 = iPr_def_20 )
    | ( sk_c7 = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_439,c_437]) ).

tcf(c_707,plain,
    ( ( iPr_def_16 = iPr_def_20 )
    | ( sk_c7 = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_439,c_436]) ).

tcf(c_805,plain,
    ( ( sk_c7 = iPr_def_23 )
    | ( multiply(sk_c2,iPr_def_20) = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_445,c_421]) ).

tcf(c_806,plain,
    ( ( iPr_def_18 = iPr_def_20 )
    | ( sk_c7 = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_445,c_443]) ).

tcf(c_807,plain,
    ( ( iPr_def_16 = iPr_def_20 )
    | ( sk_c7 = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_445,c_442]) ).

tcf(c_821,plain,
    ( ( sk_c7 = iPr_def_23 )
    | ( multiply(sk_c7,iPr_def_21) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_446,c_419]) ).

tcf(c_832,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( multiply(iPr_def_23,sk_c8) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_447,c_419]) ).

tcf(c_905,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(iPr_def_24,sk_c8) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_450,c_419]) ).

tcf(c_931,plain,
    ( ( iPr_def_18 = iPr_def_20 )
    | ( sk_c7 = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_451,c_449]) ).

tcf(c_932,plain,
    ( ( iPr_def_16 = iPr_def_20 )
    | ( sk_c7 = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_451,c_448]) ).

tcf(c_944,plain,
    ! [X0: $i] :
      ( ( iPr_def_15 = sk_c6 )
      | ( iPr_def_15 != X0 )
      | ( sk_c6 != X0 ) ),
    inference(instantiation,[status(thm)],[c_467]) ).

tcf(c_947,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( multiply(sk_c4,iPr_def_23) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_447,c_424]) ).

tcf(c_948,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(sk_c4,iPr_def_23) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_444,c_424]) ).

tcf(c_950,plain,
    ( ( sk_c7 = iPr_def_17 )
    | ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_438,c_424]) ).

tcf(c_999,plain,
    multiply(iPr_def_21,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_425,c_84]) ).

tcf(c_1000,plain,
    multiply(iPr_def_19,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_423,c_84]) ).

tcf(c_1001,plain,
    multiply(iPr_def_18,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_422,c_84]) ).

tcf(c_1002,plain,
    multiply(iPr_def_24,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_428,c_84]) ).

tcf(c_1003,plain,
    multiply(iPr_def_23,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_427,c_84]) ).

tcf(c_1016,plain,
    ( ( sk_c7 = iPr_def_24 )
    | ( multiply(sk_c7,iPr_def_21) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_452,c_419]) ).

tcf(c_1034,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
    inference(superposition,[status(thm)],[c_453,c_429]) ).

tcf(c_1220,plain,
    ( ( iPr_def_18 = iPr_def_20 )
    | ( sk_c8 = iPr_def_25 ) ),
    inference(superposition,[status(thm)],[c_457,c_455]) ).

tcf(c_1221,plain,
    ( ( iPr_def_16 = iPr_def_20 )
    | ( sk_c8 = iPr_def_25 ) ),
    inference(superposition,[status(thm)],[c_457,c_454]) ).

tcf(c_1243,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( multiply(sk_c3,iPr_def_25) = iPr_def_22 ) ),
    inference(superposition,[status(thm)],[c_458,c_426]) ).

tcf(c_1246,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( multiply(sk_c7,iPr_def_25) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_458,c_419]) ).

tcf(c_1263,plain,
    ( ( iPr_def_15 = sk_c6 )
    | ( iPr_def_15 != iPr_def_15 )
    | ( sk_c6 != iPr_def_15 ) ),
    inference(instantiation,[status(thm)],[c_944]) ).

tcf(c_1330,plain,
    ( ( sk_c6 = iPr_def_15 )
    | ( multiply(sk_c2,iPr_def_16) = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_460,c_421]) ).

tcf(c_1394,plain,
    ( ( sk_c6 = iPr_def_15 )
    | ( multiply(sk_c2,iPr_def_18) = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_461,c_421]) ).

tcf(c_1552,plain,
    ( ( iPr_def_18 = iPr_def_20 )
    | ( sk_c6 = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_463,c_461]) ).

tcf(c_1553,plain,
    ( ( iPr_def_16 = iPr_def_20 )
    | ( sk_c6 = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_463,c_460]) ).

tcf(c_1607,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_464,c_421]) ).

tcf(c_1722,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_465,c_421]) ).

tcf(c_2034,plain,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( sk_c7 = iPr_def_22 ) ),
    inference(superposition,[status(thm)],[c_465,c_430]) ).

tcf(c_2037,plain,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( sk_c7 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_462,c_430]) ).

tcf(c_2039,plain,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( sk_c6 = iPr_def_15 )
    | ( iPr_def_15 != iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_460,c_430]) ).

tcf(c_2235,plain,
    ( ~ iPr_def_14
    | ( sk_c8 != iPr_def_25 )
    | ( inverse(sk_c1) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_429,c_431]) ).

tcf(c_2236,plain,
    ( ~ iPr_def_14
    | ( sk_c7 != sk_c8 )
    | ( inverse(identity) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_83,c_431]) ).

tcf(c_2250,plain,
    ( ~ iPr_def_14
    | ( sk_c8 != iPr_def_25 )
    | ( sk_c7 != iPr_def_24 ) ),
    inference(light_normalisation,[status(thm)],[c_2235,c_428]) ).

tcf(c_2338,plain,
    ( ~ iPr_def_13
    | ( sk_c6 != iPr_def_15 )
    | ( inverse(sk_c7) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_419,c_432]) ).

tcf(c_2340,plain,
    ( ~ iPr_def_13
    | ( sk_c6 != iPr_def_16 )
    | ( inverse(sk_c5) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_420,c_432]) ).

tcf(c_2352,plain,
    ( ~ iPr_def_13
    | ( sk_c6 != iPr_def_18 )
    | ( sk_c6 != iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_2340,c_422]) ).

tcf(c_2430,plain,
    ( ~ iPr_def_12
    | ( sk_c7 != iPr_def_17 )
    | ( inverse(sk_c2) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_421,c_433]) ).

tcf(c_2454,plain,
    ( ~ iPr_def_12
    | ( sk_c7 != iPr_def_23 )
    | ( sk_c7 != iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_2430,c_427]) ).

tcf(c_2616,plain,
    ( ~ iPr_def_11
    | ( sk_c6 != iPr_def_25 )
    | ( inverse(sk_c1) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_429,c_434]) ).

tcf(c_2631,plain,
    ( ~ iPr_def_11
    | ( sk_c6 != iPr_def_25 )
    | ( sk_c7 != iPr_def_24 ) ),
    inference(light_normalisation,[status(thm)],[c_2616,c_428]) ).

tcf(c_2734,plain,
    ( ~ iPr_def_10
    | ( sk_c7 != iPr_def_15 )
    | ( inverse(sk_c7) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_419,c_435]) ).

tcf(c_2991,plain,
    ! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0),
    inference(superposition,[status(thm)],[c_419,c_85]) ).

tcf(c_2993,plain,
    ! [X0: $i] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(iPr_def_20,X0),
    inference(superposition,[status(thm)],[c_424,c_85]) ).

tcf(c_2998,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_84,c_85]) ).

tcf(c_3000,plain,
    ! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_999,c_85]) ).

tcf(c_3001,plain,
    ! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1000,c_85]) ).

tcf(c_3002,plain,
    ! [X0: $i] : multiply(iPr_def_18,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1001,c_85]) ).

tcf(c_3003,plain,
    ! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1002,c_85]) ).

tcf(c_3004,plain,
    ! [X0: $i] : multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1003,c_85]) ).

tcf(c_3011,plain,
    ! [X0: $i] : multiply(iPr_def_23,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3004,c_83]) ).

tcf(c_3012,plain,
    ! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3003,c_83]) ).

tcf(c_3013,plain,
    ! [X0: $i] : multiply(iPr_def_18,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3002,c_83]) ).

tcf(c_3014,plain,
    ! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3001,c_83]) ).

tcf(c_3015,plain,
    ! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3000,c_83]) ).

tcf(c_3073,plain,
    iPr_def_15 = iPr_def_15,
    inference(instantiation,[status(thm)],[c_466]) ).

tcf(c_4135,plain,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_18 = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_1552,c_430]) ).

tcf(c_4315,plain,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_16 = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_1553,c_430]) ).

tcf(c_4515,plain,
    multiply(iPr_def_23,iPr_def_17) = sk_c6,
    inference(superposition,[status(thm)],[c_421,c_3011]) ).

tcf(c_4518,plain,
    ! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_4515,c_85]) ).

tcf(c_4520,plain,
    multiply(iPr_def_24,iPr_def_25) = sk_c7,
    inference(superposition,[status(thm)],[c_429,c_3012]) ).

tcf(c_4523,plain,
    ! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_25,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_4520,c_85]) ).

tcf(c_4539,plain,
    multiply(iPr_def_18,iPr_def_16) = sk_c8,
    inference(superposition,[status(thm)],[c_420,c_3013]) ).

tcf(c_4547,plain,
    ! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_4539,c_85]) ).

tcf(c_4557,plain,
    multiply(iPr_def_19,iPr_def_20) = sk_c7,
    inference(superposition,[status(thm)],[c_424,c_3014]) ).

tcf(c_4582,plain,
    ( iPr_def_11
    | iPr_def_10
    | ( iPr_def_18 = iPr_def_20 )
    | iPr_def_13 ),
    inference(global_subsumption_just,[status(thm)],[c_4135,c_430,c_706,c_806,c_931,c_1220,c_1263,c_1552,c_2250,c_2454,c_3073]) ).

tcf(c_4583,plain,
    ( iPr_def_13
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_18 = iPr_def_20 ) ),
    inference(renaming,[status(thm)],[c_4582]) ).

tcf(c_4592,plain,
    ( iPr_def_11
    | iPr_def_10
    | ( iPr_def_16 = iPr_def_20 )
    | iPr_def_13 ),
    inference(global_subsumption_just,[status(thm)],[c_4315,c_707,c_807,c_932,c_1221,c_2250,c_2454,c_4315]) ).

tcf(c_4593,plain,
    ( iPr_def_13
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_16 = iPr_def_20 ) ),
    inference(renaming,[status(thm)],[c_4592]) ).

tcf(c_4779,plain,
    ! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_4557,c_85]) ).

tcf(c_4781,plain,
    multiply(iPr_def_21,iPr_def_22) = sk_c8,
    inference(superposition,[status(thm)],[c_426,c_3015]) ).

tcf(c_4784,plain,
    ! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_4781,c_85]) ).

tcf(c_5180,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( multiply(iPr_def_23,iPr_def_25) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_459,c_832]) ).

tcf(c_5289,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(iPr_def_24,iPr_def_25) = iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_456,c_905]) ).

tcf(c_5296,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( sk_c7 = iPr_def_15 ) ),
    inference(light_normalisation,[status(thm)],[c_5289,c_4520]) ).

tcf(c_5516,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( multiply(iPr_def_19,iPr_def_20) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_947,c_3014]) ).

tcf(c_5517,plain,
    ( ( sk_c7 = iPr_def_23 )
    | ( sk_c7 = iPr_def_22 ) ),
    inference(light_normalisation,[status(thm)],[c_5516,c_4557]) ).

tcf(c_5540,plain,
    ( ( sk_c7 = iPr_def_19 )
    | ( multiply(iPr_def_19,iPr_def_20) = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_948,c_3014]) ).

tcf(c_5541,plain,
    ( ( sk_c7 = iPr_def_23 )
    | ( sk_c7 = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_5540,c_4557]) ).

tcf(c_5628,plain,
    ( ( sk_c7 = iPr_def_15 )
    | ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_5296,c_424]) ).

tcf(c_6658,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( multiply(iPr_def_21,iPr_def_22) = iPr_def_25 ) ),
    inference(superposition,[status(thm)],[c_1243,c_3015]) ).

tcf(c_6659,plain,
    ( ( sk_c8 = iPr_def_25 )
    | ( sk_c8 = iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_6658,c_4781]) ).

tcf(c_6868,plain,
    ( ( sk_c6 = iPr_def_15 )
    | ( multiply(iPr_def_23,iPr_def_17) = iPr_def_16 ) ),
    inference(superposition,[status(thm)],[c_1330,c_3011]) ).

tcf(c_6869,plain,
    ( ( sk_c6 = iPr_def_16 )
    | ( sk_c6 = iPr_def_15 ) ),
    inference(light_normalisation,[status(thm)],[c_6868,c_4515]) ).

tcf(c_6884,plain,
    ( ( sk_c6 = iPr_def_15 )
    | ( multiply(iPr_def_23,iPr_def_17) = iPr_def_18 ) ),
    inference(superposition,[status(thm)],[c_1394,c_3011]) ).

tcf(c_6885,plain,
    ( ( sk_c6 = iPr_def_18 )
    | ( sk_c6 = iPr_def_15 ) ),
    inference(light_normalisation,[status(thm)],[c_6884,c_4515]) ).

tcf(c_8694,plain,
    multiply(sk_c4,iPr_def_15) = multiply(iPr_def_20,sk_c8),
    inference(superposition,[status(thm)],[c_419,c_2993]) ).

tcf(c_11918,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2998,c_83]) ).

tcf(c_11924,plain,
    multiply(inverse(sk_c7),iPr_def_15) = sk_c8,
    inference(superposition,[status(thm)],[c_419,c_11918]) ).

tcf(c_11929,plain,
    multiply(inverse(sk_c2),iPr_def_17) = sk_c6,
    inference(superposition,[status(thm)],[c_421,c_11918]) ).

tcf(c_11930,plain,
    ! [X0: $i] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_83,c_11918]) ).

tcf(c_11931,plain,
    ! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_84,c_11918]) ).

tcf(c_11937,plain,
    ( ( sk_c7 = iPr_def_24 )
    | ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_1016,c_11918]) ).

tcf(c_11938,plain,
    ( ( sk_c7 = iPr_def_23 )
    | ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_821,c_11918]) ).

tcf(c_11956,plain,
    ( ( sk_c7 = iPr_def_23 )
    | ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_805,c_11918]) ).

tcf(c_12047,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_3015,c_11918]) ).

tcf(c_12048,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_3014,c_11918]) ).

tcf(c_12049,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_3013,c_11918]) ).

tcf(c_12050,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_3012,c_11918]) ).

tcf(c_12051,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_3011,c_11918]) ).

tcf(c_12068,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_11918,c_11918]) ).

tcf(c_12504,plain,
    ! [X0: $i] : multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_11931,c_12068]) ).

tcf(c_12514,plain,
    multiply(sk_c7,sk_c8) = multiply(iPr_def_15,identity),
    inference(superposition,[status(thm)],[c_12504,c_2991]) ).

tcf(c_12517,plain,
    multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_16),
    inference(superposition,[status(thm)],[c_12504,c_4547]) ).

tcf(c_12518,plain,
    multiply(sk_c7,identity) = multiply(iPr_def_24,iPr_def_25),
    inference(superposition,[status(thm)],[c_12504,c_4523]) ).

tcf(c_12519,plain,
    multiply(sk_c6,identity) = multiply(iPr_def_23,iPr_def_17),
    inference(superposition,[status(thm)],[c_12504,c_4518]) ).

tcf(c_12526,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_12504,c_11930]) ).

tcf(c_12528,plain,
    multiply(sk_c6,identity) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_12519,c_4515]) ).

tcf(c_12529,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_12518,c_4520]) ).

tcf(c_12530,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(light_normalisation,[status(thm)],[c_12517,c_4539]) ).

tcf(c_12533,plain,
    multiply(iPr_def_15,identity) = iPr_def_15,
    inference(light_normalisation,[status(thm)],[c_12514,c_419]) ).

tcf(c_12539,plain,
    multiply(sk_c7,identity) = multiply(iPr_def_19,iPr_def_20),
    inference(superposition,[status(thm)],[c_12504,c_4779]) ).

tcf(c_12554,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_12526,c_84]) ).

tcf(c_12575,plain,
    multiply(sk_c8,identity) = multiply(iPr_def_21,iPr_def_22),
    inference(superposition,[status(thm)],[c_12504,c_4784]) ).

tcf(c_13297,plain,
    multiply(sk_c3,iPr_def_21) = identity,
    inference(superposition,[status(thm)],[c_12047,c_84]) ).

tcf(c_13300,plain,
    ( ~ iPr_def_10
    | ( inverse(inverse(iPr_def_21)) != sk_c8 )
    | ( multiply(sk_c3,sk_c8) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_12047,c_435]) ).

tcf(c_13303,plain,
    ! [X0: $i] : multiply(sk_c3,multiply(iPr_def_21,X0)) = X0,
    inference(superposition,[status(thm)],[c_12047,c_11918]) ).

tcf(c_13304,plain,
    multiply(sk_c3,identity) = inverse(iPr_def_21),
    inference(superposition,[status(thm)],[c_12047,c_12504]) ).

tcf(c_13312,plain,
    ( ~ iPr_def_10
    | ( sk_c7 != iPr_def_22 )
    | ( inverse(inverse(iPr_def_21)) != sk_c8 ) ),
    inference(light_normalisation,[status(thm)],[c_13300,c_426]) ).

tcf(c_13981,plain,
    inverse(iPr_def_21) = sk_c3,
    inference(demodulation,[status(thm)],[c_13304,c_12504]) ).

tcf(c_13986,plain,
    multiply(sk_c3,sk_c8) = iPr_def_22,
    inference(superposition,[status(thm)],[c_4781,c_13303]) ).

tcf(c_14373,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(iPr_def_19)) != sk_c7 )
    | ( multiply(sk_c4,sk_c7) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_12048,c_434]) ).

tcf(c_14375,plain,
    multiply(sk_c4,iPr_def_19) = identity,
    inference(superposition,[status(thm)],[c_12048,c_84]) ).

tcf(c_14380,plain,
    ( ~ iPr_def_12
    | ( inverse(inverse(iPr_def_19)) != sk_c7 )
    | ( multiply(sk_c4,sk_c6) != sk_c7 ) ),
    inference(superposition,[status(thm)],[c_12048,c_433]) ).

tcf(c_14381,plain,
    ! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
    inference(superposition,[status(thm)],[c_12048,c_11918]) ).

tcf(c_14382,plain,
    multiply(sk_c4,identity) = inverse(iPr_def_19),
    inference(superposition,[status(thm)],[c_12048,c_12504]) ).

tcf(c_14396,plain,
    ( ~ iPr_def_11
    | ( sk_c6 != iPr_def_20 )
    | ( inverse(inverse(iPr_def_19)) != sk_c7 ) ),
    inference(light_normalisation,[status(thm)],[c_14373,c_424]) ).

tcf(c_14400,plain,
    ( ( identity = iPr_def_20 )
    | ( sk_c7 = iPr_def_15 ) ),
    inference(demodulation,[status(thm)],[c_5628,c_14375]) ).

tcf(c_14402,plain,
    ( ( identity = iPr_def_20 )
    | ( sk_c7 = iPr_def_17 ) ),
    inference(demodulation,[status(thm)],[c_950,c_14375]) ).

tcf(c_14770,plain,
    ( ( iPr_def_15 = iPr_def_17 )
    | ( identity = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_14402,c_14400]) ).

tcf(c_14991,plain,
    inverse(iPr_def_19) = sk_c4,
    inference(demodulation,[status(thm)],[c_14382,c_12504]) ).

tcf(c_15000,plain,
    multiply(sk_c4,sk_c7) = iPr_def_20,
    inference(superposition,[status(thm)],[c_4557,c_14381]) ).

tcf(c_15838,plain,
    ( ( iPr_def_15 = iPr_def_17 )
    | ( inverse(iPr_def_20) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_14770,c_12526]) ).

tcf(c_16019,plain,
    ( ~ iPr_def_14
    | ( inverse(inverse(iPr_def_18)) != sk_c7 )
    | ( multiply(sk_c5,sk_c7) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_12049,c_431]) ).

tcf(c_16020,plain,
    multiply(sk_c5,iPr_def_18) = identity,
    inference(superposition,[status(thm)],[c_12049,c_84]) ).

tcf(c_16024,plain,
    ( ~ iPr_def_13
    | ( inverse(inverse(iPr_def_18)) != sk_c6 )
    | ( multiply(sk_c5,sk_c8) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_12049,c_432]) ).

tcf(c_16026,plain,
    ! [X0: $i] : multiply(sk_c5,multiply(iPr_def_18,X0)) = X0,
    inference(superposition,[status(thm)],[c_12049,c_11918]) ).

tcf(c_16027,plain,
    multiply(sk_c5,identity) = inverse(iPr_def_18),
    inference(superposition,[status(thm)],[c_12049,c_12504]) ).

tcf(c_16241,plain,
    inverse(iPr_def_18) = sk_c5,
    inference(demodulation,[status(thm)],[c_16027,c_12504]) ).

tcf(c_16248,plain,
    multiply(sk_c5,identity) = sk_c5,
    inference(superposition,[status(thm)],[c_1001,c_16026]) ).

tcf(c_16249,plain,
    multiply(sk_c5,sk_c8) = iPr_def_16,
    inference(superposition,[status(thm)],[c_4539,c_16026]) ).

tcf(c_16298,plain,
    multiply(sk_c1,iPr_def_24) = identity,
    inference(superposition,[status(thm)],[c_12050,c_84]) ).

tcf(c_16304,plain,
    ! [X0: $i] : multiply(sk_c1,multiply(iPr_def_24,X0)) = X0,
    inference(superposition,[status(thm)],[c_12050,c_11918]) ).

tcf(c_16358,plain,
    ( ( identity = iPr_def_25 )
    | ( sk_c7 = iPr_def_22 ) ),
    inference(demodulation,[status(thm)],[c_1034,c_16298]) ).

tcf(c_17029,plain,
    multiply(sk_c1,sk_c7) = iPr_def_25,
    inference(superposition,[status(thm)],[c_4520,c_16304]) ).

tcf(c_19066,plain,
    ( ~ iPr_def_14
    | ( sk_c7 != identity )
    | ( sk_c7 != sk_c8 ) ),
    inference(light_normalisation,[status(thm)],[c_2236,c_12526]) ).

tcf(c_19293,plain,
    ( ~ iPr_def_13
    | ( inverse(sk_c7) != sk_c6 ) ),
    inference(global_subsumption_just,[status(thm)],[c_2338,c_2352,c_2338,c_6869,c_6885]) ).

tcf(c_20103,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(iPr_def_23)) != sk_c7 )
    | ( multiply(sk_c2,sk_c7) != sk_c6 ) ),
    inference(superposition,[status(thm)],[c_12051,c_434]) ).

tcf(c_20105,plain,
    multiply(sk_c2,iPr_def_23) = identity,
    inference(superposition,[status(thm)],[c_12051,c_84]) ).

tcf(c_20111,plain,
    ! [X0: $i] : multiply(sk_c2,multiply(iPr_def_23,X0)) = X0,
    inference(superposition,[status(thm)],[c_12051,c_11918]) ).

tcf(c_20112,plain,
    multiply(sk_c2,identity) = inverse(iPr_def_23),
    inference(superposition,[status(thm)],[c_12051,c_12504]) ).

tcf(c_20279,plain,
    multiply(iPr_def_23,identity) = iPr_def_23,
    inference(superposition,[status(thm)],[c_20105,c_3011]) ).

tcf(c_21024,plain,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_15 != iPr_def_16 ) ),
    inference(global_subsumption_just,[status(thm)],[c_2039,c_430,c_1263,c_2039,c_3073]) ).

tcf(c_21313,plain,
    inverse(iPr_def_23) = sk_c2,
    inference(demodulation,[status(thm)],[c_20112,c_12504]) ).

tcf(c_21409,plain,
    multiply(sk_c2,identity) = sk_c2,
    inference(superposition,[status(thm)],[c_1003,c_20111]) ).

tcf(c_21412,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( multiply(sk_c2,iPr_def_15) = iPr_def_25 ) ),
    inference(superposition,[status(thm)],[c_5180,c_20111]) ).

tcf(c_23703,plain,
    ( ( iPr_def_15 = iPr_def_17 )
    | ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
    inference(superposition,[status(thm)],[c_15838,c_84]) ).

tcf(c_28481,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_23703,c_21412,c_21409,c_21313,c_21024,c_20279,c_20103,c_20105,c_19293,c_19066,c_17029,c_16358,c_16298,c_16249,c_16248,c_16241,c_16024,c_16019,c_16020,c_15000,c_14991,c_14396,c_14380,c_14375,c_13986,c_13981,c_13312,c_13297,c_12575,c_12539,c_12533,c_12530,c_12529,c_12528,c_12519,c_12518,c_12517,c_12514,c_11956,c_11938,c_11937,c_11929,c_11924,c_8694,c_6659,c_5541,c_5517,c_4593,c_4583,c_2734,c_2631,c_2454,c_2250,c_2037,c_2034,c_1722,c_1607,c_12554,c_1246,c_464,c_458,c_441,c_440,c_439,c_438,c_437,c_436,c_430,c_427,c_425,c_423,c_422]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP331-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n014.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Wed Sep 23 14:29:19 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.43  % Proving...
% 10.76/2.73  % SZS status Started for theBenchmark.p
% 10.76/2.73  % SZS status Unsatisfiable for theBenchmark.p
% 10.76/2.73  
% 10.76/2.73  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.76/2.73  
% 10.76/2.73  % ------  iProver source info
% 10.76/2.73  
% 10.76/2.73  % git: date: 2026-07-19 20:42:38 +0200
% 10.76/2.73  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.76/2.73  % git: non_committed_changes: false
% 10.76/2.73  
% 10.76/2.73  % ------ Parsing...% successful
% 10.76/2.73  
% 10.76/2.73  
% 10.76/2.73  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.76/2.73  
% 10.76/2.73  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 10.76/2.73  
% 10.76/2.73  % ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.76/2.73  
% 10.76/2.73  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 10.76/2.73  % ------ Proving...
% 10.76/2.73  % ------ Problem Properties 
% 10.76/2.73  
% 10.76/2.73  % 
% 10.76/2.73  % clauses                               50
% 10.76/2.73  % conjectures                           36
% 10.76/2.73  % EPR                                   31
% 10.76/2.73  % Horn                                  19
% 10.76/2.73  % unary                                 14
% 10.76/2.73  % binary                                30
% 10.76/2.73  % lits                                  95
% 10.76/2.73  % lits eq                               85
% 10.76/2.73  % fd_pure                               0
% 10.76/2.73  % fd_pseudo                             0
% 10.76/2.73  % fd_cond                               0
% 10.76/2.73  % fd_pseudo_cond                        0
% 10.76/2.73  % AC symbols                            0
% 10.76/2.73  
% 10.76/2.73  % ------ Schedule dynamic 5 is on 
% 10.76/2.73  
% 10.76/2.73  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.76/2.73  
% 10.76/2.73  
% 10.76/2.73  % ------ 
% 10.76/2.73  % Current options:
% 10.76/2.73  % ------ 
% 10.76/2.73  
% 10.76/2.73  
% 10.76/2.73  % 
% 10.76/2.73  
% 10.76/2.73  % ------ Proving...
% 10.76/2.73  % 
% 10.76/2.73  
% 10.76/2.73  % SZS status Unsatisfiable for theBenchmark.p
% 10.76/2.73  
% 10.76/2.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.76/2.73  
% 10.76/2.73  
%------------------------------------------------------------------------------