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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP329-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:32:51 PM UTC 2026

% Result   : Unsatisfiable 21.37s 4.89s
% Output   : CNFRefutation 29.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  316 (  82 unt;  13 def)
%            Number of atoms       : 1079 ( 604 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  482 ( 154   ~; 328   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   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  :   19 (  17 usr;  18 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   78 (   0 sgn  78   !;   0   ?;  55   :)

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

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

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

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

fof(f5,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

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

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

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

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

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

fof(f15,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = sk_c7
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f16,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | multiply(sk_c8,sk_c9) = sk_c7 ),
    inference(reorient_equations,[],[f15]) ).

fof(f19,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f20,plain,
    ( sk_c7 = inverse(sk_c8)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    inference(reorient_equations,[],[f19]) ).

fof(f21,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f22,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    inference(reorient_equations,[],[f21]) ).

fof(f23,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f24,plain,
    ( sk_c8 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    inference(reorient_equations,[],[f23]) ).

fof(f25,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c9
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f26,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    inference(reorient_equations,[],[f25]) ).

fof(f27,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f28,plain,
    ( sk_c8 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c1,sk_c8) ),
    inference(reorient_equations,[],[f27]) ).

fof(f33,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f34,plain,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f33]) ).

fof(f35,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f36,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f35]) ).

fof(f37,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f38,plain,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f37]) ).

fof(f39,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c9
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f40,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f39]) ).

fof(f41,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f42,plain,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    inference(reorient_equations,[],[f41]) ).

fof(f47,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c9,sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f48,plain,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    inference(reorient_equations,[],[f47]) ).

fof(f49,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c9,sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f50,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    inference(reorient_equations,[],[f49]) ).

fof(f51,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | multiply(sk_c9,sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f52,plain,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    inference(reorient_equations,[],[f51]) ).

fof(f55,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | multiply(sk_c9,sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f56,plain,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    inference(reorient_equations,[],[f55]) ).

fof(f61,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c2,sk_c9) = sk_c3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f62,plain,
    ( sk_c7 = inverse(sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    inference(reorient_equations,[],[f61]) ).

fof(f63,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c2,sk_c9) = sk_c3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f64,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    inference(reorient_equations,[],[f63]) ).

fof(f65,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | multiply(sk_c2,sk_c9) = sk_c3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f66,plain,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    inference(reorient_equations,[],[f65]) ).

fof(f69,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | multiply(sk_c2,sk_c9) = sk_c3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f70,plain,
    ( sk_c8 = inverse(sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    inference(reorient_equations,[],[f69]) ).

fof(f75,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f76,plain,
    ( sk_c7 = inverse(sk_c8)
    | sk_c9 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f75]) ).

fof(f77,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f78,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c9 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f77]) ).

fof(f79,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c2) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

fof(f80,plain,
    ( sk_c8 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f79]) ).

fof(f81,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c9
    | inverse(sk_c2) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).

fof(f82,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f81]) ).

fof(f83,negated_conjecture,
    ( inverse(sk_c5) = sk_c8
    | inverse(sk_c2) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

fof(f84,plain,
    ( sk_c8 = inverse(sk_c5)
    | sk_c9 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f83]) ).

fof(f85,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = sk_c7
    | inverse(sk_c2) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f86,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c9 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f85]) ).

fof(f87,negated_conjecture,
    ( inverse(sk_c6) = sk_c9
    | inverse(sk_c2) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f88,plain,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c2) ),
    inference(reorient_equations,[],[f87]) ).

fof(f89,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( inverse(X5) != sk_c9
      | multiply(X5,sk_c9) != sk_c7
      | inverse(X4) != sk_c8
      | multiply(X4,sk_c8) != sk_c9
      | inverse(X3) != sk_c8
      | multiply(X3,sk_c8) != sk_c7
      | inverse(sk_c8) != sk_c7
      | inverse(X2) != sk_c9
      | multiply(X2,sk_c9) != X1
      | multiply(sk_c9,X1) != sk_c8
      | inverse(X0) != sk_c8
      | multiply(X0,sk_c8) != sk_c9
      | multiply(sk_c8,sk_c9) != sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f90,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( sk_c9 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c9)
      | sk_c8 != inverse(X4)
      | sk_c9 != multiply(X4,sk_c8)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != inverse(sk_c8)
      | sk_c9 != inverse(X2)
      | multiply(X2,sk_c9) != X1
      | sk_c8 != multiply(sk_c9,X1)
      | inverse(X0) != sk_c8
      | sk_c9 != multiply(X0,sk_c8)
      | multiply(sk_c8,sk_c9) != sk_c7 ),
    inference(reorient_equations,[],[f89]) ).

fof(f91,plain,
    ! [X2,X3,X0,X4,X5] :
      ( sk_c9 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c9)
      | sk_c8 != inverse(X4)
      | sk_c9 != multiply(X4,sk_c8)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != inverse(sk_c8)
      | sk_c9 != inverse(X2)
      | sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
      | inverse(X0) != sk_c8
      | sk_c9 != multiply(X0,sk_c8)
      | multiply(sk_c8,sk_c9) != sk_c7 ),
    inference(equality_resolution,[],[f90]) ).

tcf(c_95,plain,
    ! [X0: $i] : multiply(identity,X0) = X0,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_96,plain,
    ! [X0: $i] : multiply(inverse(X0),X0) = identity,
    inference(cnf_transformation,[],[f3]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_98,negated_conjecture,
    ( ( inverse(sk_c8) = sk_c7 )
    | ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_99,negated_conjecture,
    ( ( multiply(sk_c4,sk_c8) = sk_c7 )
    | ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_100,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c8 )
    | ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_103,negated_conjecture,
    ( ( multiply(sk_c6,sk_c9) = sk_c7 )
    | ( multiply(sk_c8,sk_c9) = sk_c7 ) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_105,negated_conjecture,
    ( ( inverse(sk_c8) = sk_c7 )
    | ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_106,negated_conjecture,
    ( ( multiply(sk_c1,sk_c8) = sk_c9 )
    | ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_107,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c8 )
    | ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_108,negated_conjecture,
    ( ( multiply(sk_c1,sk_c8) = sk_c9 )
    | ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_109,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c1,sk_c8) = sk_c9 ) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_112,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c8 )
    | ( inverse(sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_113,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c8 )
    | ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_114,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c8 )
    | ( inverse(sk_c4) = sk_c8 ) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_115,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c8 )
    | ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_116,negated_conjecture,
    ( ( inverse(sk_c1) = sk_c8 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_119,negated_conjecture,
    ( ( inverse(sk_c8) = sk_c7 )
    | ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_120,negated_conjecture,
    ( ( multiply(sk_c4,sk_c8) = sk_c7 )
    | ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_121,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c8 )
    | ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_123,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c9,sk_c3) = sk_c8 ) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_126,negated_conjecture,
    ( ( inverse(sk_c8) = sk_c7 )
    | ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_127,negated_conjecture,
    ( ( multiply(sk_c2,sk_c9) = sk_c3 )
    | ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_128,negated_conjecture,
    ( ( inverse(sk_c4) = sk_c8 )
    | ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_130,negated_conjecture,
    ( ( inverse(sk_c5) = sk_c8 )
    | ( multiply(sk_c2,sk_c9) = sk_c3 ) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_133,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( inverse(sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_134,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_135,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( inverse(sk_c4) = sk_c8 ) ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_136,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( multiply(sk_c5,sk_c8) = sk_c9 ) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_137,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( inverse(sk_c5) = sk_c8 ) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_138,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( multiply(sk_c6,sk_c9) = sk_c7 ) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_139,negated_conjecture,
    ( ( inverse(sk_c2) = sk_c9 )
    | ( inverse(sk_c6) = sk_c9 ) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_140,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( inverse(sk_c8) != sk_c7 )
      | ( inverse(X4) != sk_c9 )
      | ( inverse(X3) != sk_c8 )
      | ( inverse(X2) != sk_c8 )
      | ( inverse(X1) != sk_c9 )
      | ( inverse(X0) != sk_c8 )
      | ( multiply(sk_c8,sk_c9) != sk_c7 )
      | ( multiply(X4,sk_c9) != sk_c7 )
      | ( multiply(X3,sk_c8) != sk_c7 )
      | ( multiply(X2,sk_c8) != sk_c9 )
      | ( multiply(X0,sk_c8) != sk_c9 )
      | ( multiply(sk_c9,multiply(X1,sk_c9)) != sk_c8 ) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_537,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ( inverse(X0) != sk_c8 )
      | ( multiply(X0,sk_c8) != sk_c9 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_140]) ).

tcf(c_538,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != sk_c8 )
      | ( multiply(X0,sk_c8) != sk_c7 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_140]) ).

tcf(c_539,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ( inverse(X0) != sk_c9 )
      | ( multiply(X0,sk_c9) != sk_c7 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_140]) ).

tcf(c_540,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ( inverse(X0) != sk_c9 )
      | ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_140]) ).

tcf(c_541,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( inverse(sk_c8) != sk_c7 )
    | ( multiply(sk_c8,sk_c9) != sk_c7 ) ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_140]) ).

tcf(c_542,definition,
    iPr_def_14 = multiply(sk_c8,sk_c9),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_543,definition,
    iPr_def_15 = inverse(sk_c8),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_544,definition,
    iPr_def_16 = inverse(sk_c6),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_545,definition,
    iPr_def_17 = inverse(sk_c2),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_546,definition,
    iPr_def_18 = multiply(sk_c6,sk_c9),
    introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).

tcf(c_547,definition,
    iPr_def_19 = inverse(sk_c5),
    introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).

tcf(c_548,definition,
    iPr_def_20 = multiply(sk_c5,sk_c8),
    introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).

tcf(c_549,definition,
    iPr_def_21 = inverse(sk_c4),
    introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).

tcf(c_550,definition,
    iPr_def_22 = multiply(sk_c4,sk_c8),
    introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).

tcf(c_551,definition,
    iPr_def_23 = multiply(sk_c2,sk_c9),
    introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).

tcf(c_552,definition,
    iPr_def_24 = multiply(sk_c9,sk_c3),
    introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).

tcf(c_553,definition,
    iPr_def_25 = inverse(sk_c1),
    introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).

tcf(c_554,definition,
    iPr_def_26 = multiply(sk_c1,sk_c8),
    introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).

tcf(c_555,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | iPr_def_10
    | ( iPr_def_15 != sk_c7 )
    | ( iPr_def_14 != sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_541,c_543,c_542]) ).

tcf(c_556,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ( inverse(X0) != sk_c9 )
      | ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_540]) ).

tcf(c_557,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ( inverse(X0) != sk_c9 )
      | ( multiply(X0,sk_c9) != sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_539]) ).

tcf(c_559,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != sk_c8 )
      | ( multiply(X0,sk_c8) != sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_538]) ).

tcf(c_560,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ( inverse(X0) != sk_c8 )
      | ( multiply(X0,sk_c8) != sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_537]) ).

tcf(c_561,negated_conjecture,
    ( ( iPr_def_17 = sk_c9 )
    | ( iPr_def_16 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_139,c_545,c_544]) ).

tcf(c_562,negated_conjecture,
    ( ( iPr_def_18 = sk_c7 )
    | ( iPr_def_17 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_138,c_546]) ).

tcf(c_563,negated_conjecture,
    ( ( iPr_def_19 = sk_c8 )
    | ( iPr_def_17 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_137,c_547]) ).

tcf(c_564,negated_conjecture,
    ( ( iPr_def_20 = sk_c9 )
    | ( iPr_def_17 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_136,c_548]) ).

tcf(c_565,negated_conjecture,
    ( ( iPr_def_21 = sk_c8 )
    | ( iPr_def_17 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_135,c_549]) ).

tcf(c_566,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_17 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_134,c_550]) ).

tcf(c_567,negated_conjecture,
    ( ( iPr_def_17 = sk_c9 )
    | ( iPr_def_15 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_133]) ).

tcf(c_570,negated_conjecture,
    ( ( iPr_def_23 = sk_c3 )
    | ( iPr_def_19 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_130]) ).

tcf(c_572,negated_conjecture,
    ( ( iPr_def_23 = sk_c3 )
    | ( iPr_def_21 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_128]) ).

tcf(c_573,negated_conjecture,
    ( ( iPr_def_23 = sk_c3 )
    | ( iPr_def_22 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_127]) ).

tcf(c_574,negated_conjecture,
    ( ( iPr_def_23 = sk_c3 )
    | ( iPr_def_15 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_126]) ).

tcf(c_577,negated_conjecture,
    ( ( iPr_def_24 = sk_c8 )
    | ( iPr_def_19 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_123]) ).

tcf(c_579,negated_conjecture,
    ( ( iPr_def_24 = sk_c8 )
    | ( iPr_def_21 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_121]) ).

tcf(c_580,negated_conjecture,
    ( ( iPr_def_24 = sk_c8 )
    | ( iPr_def_22 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_120]) ).

tcf(c_581,negated_conjecture,
    ( ( iPr_def_24 = sk_c8 )
    | ( iPr_def_15 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_119]) ).

tcf(c_584,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_19 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_116]) ).

tcf(c_585,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_20 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_115]) ).

tcf(c_586,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_21 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_114]) ).

tcf(c_587,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_22 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_113]) ).

tcf(c_588,negated_conjecture,
    ( ( iPr_def_25 = sk_c8 )
    | ( iPr_def_15 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_112]) ).

tcf(c_591,negated_conjecture,
    ( ( iPr_def_26 = sk_c9 )
    | ( iPr_def_19 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_109]) ).

tcf(c_592,negated_conjecture,
    ( ( iPr_def_26 = sk_c9 )
    | ( iPr_def_20 = sk_c9 ) ),
    inference(demodulation,[status(thm)],[c_108]) ).

tcf(c_593,negated_conjecture,
    ( ( iPr_def_26 = sk_c9 )
    | ( iPr_def_21 = sk_c8 ) ),
    inference(demodulation,[status(thm)],[c_107]) ).

tcf(c_594,negated_conjecture,
    ( ( iPr_def_26 = sk_c9 )
    | ( iPr_def_22 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_106]) ).

tcf(c_595,negated_conjecture,
    ( ( iPr_def_26 = sk_c9 )
    | ( iPr_def_15 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_105]) ).

tcf(c_597,negated_conjecture,
    ( ( iPr_def_18 = sk_c7 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_103]) ).

tcf(c_600,negated_conjecture,
    ( ( iPr_def_21 = sk_c8 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_100]) ).

tcf(c_601,negated_conjecture,
    ( ( iPr_def_22 = sk_c7 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_99]) ).

tcf(c_602,negated_conjecture,
    ( ( iPr_def_15 = sk_c7 )
    | ( iPr_def_14 = sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_98]) ).

tcf(c_603,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_604,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_915,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( sk_c9 = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_567,c_566]) ).

tcf(c_1027,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( multiply(iPr_def_17,sk_c3) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_565,c_552]) ).

tcf(c_1029,plain,
    ( ( sk_c8 = iPr_def_19 )
    | ( multiply(iPr_def_17,sk_c3) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_563,c_552]) ).

tcf(c_1062,plain,
    multiply(iPr_def_15,sk_c8) = identity,
    inference(superposition,[status(thm)],[c_543,c_96]) ).

tcf(c_1063,plain,
    multiply(iPr_def_21,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_549,c_96]) ).

tcf(c_1064,plain,
    multiply(iPr_def_19,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_547,c_96]) ).

tcf(c_1066,plain,
    multiply(iPr_def_25,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_553,c_96]) ).

tcf(c_1067,plain,
    multiply(iPr_def_17,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_545,c_96]) ).

tcf(c_1125,plain,
    ! [X0: $i] :
      ( ( iPr_def_14 = sk_c7 )
      | ( iPr_def_14 != X0 )
      | ( sk_c7 != X0 ) ),
    inference(instantiation,[status(thm)],[c_604]) ).

tcf(c_1128,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk_c7 = X0 )
      | ( sk_c7 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_604]) ).

tcf(c_1129,plain,
    ! [X0: $i] :
      ( ( sk_c7 = X0 )
      | ( sk_c7 != sk_c7 )
      | ( X0 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_1128]) ).

tcf(c_1130,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_603]) ).

tcf(c_1160,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = sk_c7 )
      | ( sk_c7 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_604]) ).

tcf(c_1163,plain,
    ( ( sk_c7 = iPr_def_18 )
    | ( iPr_def_18 != sk_c7 )
    | ( sk_c7 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_1129]) ).

tcf(c_1164,plain,
    ( ( sk_c7 = iPr_def_22 )
    | ( iPr_def_22 != sk_c7 )
    | ( sk_c7 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_1129]) ).

tcf(c_1186,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( sk_c8 = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_581,c_580]) ).

tcf(c_1236,plain,
    ( ( sk_c7 = iPr_def_14 )
    | ( iPr_def_14 != sk_c7 )
    | ( sk_c7 != sk_c7 ) ),
    inference(instantiation,[status(thm)],[c_1129]) ).

tcf(c_1252,plain,
    ! [X0: $i] :
      ( ( X0 = sk_c7 )
      | ( sk_c7 != iPr_def_14 )
      | ( X0 != iPr_def_14 ) ),
    inference(instantiation,[status(thm)],[c_1160]) ).

tcf(c_1255,plain,
    ( ( sk_c8 = sk_c7 )
    | ( sk_c7 != iPr_def_14 )
    | ( sk_c8 != iPr_def_14 ) ),
    inference(instantiation,[status(thm)],[c_1252]) ).

tcf(c_1287,plain,
    ( ( sk_c8 = iPr_def_19 )
    | ( multiply(iPr_def_25,sk_c9) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_584,c_542]) ).

tcf(c_1330,plain,
    ( ( sk_c8 = iPr_def_25 )
    | ( multiply(sk_c8,iPr_def_20) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_585,c_542]) ).

tcf(c_1371,plain,
    ( ( iPr_def_14 = sk_c7 )
    | ( iPr_def_14 != iPr_def_18 )
    | ( sk_c7 != iPr_def_18 ) ),
    inference(instantiation,[status(thm)],[c_1125]) ).

tcf(c_1389,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( multiply(iPr_def_25,sk_c9) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_586,c_542]) ).

tcf(c_1446,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( sk_c8 = iPr_def_25 ) ),
    inference(superposition,[status(thm)],[c_588,c_587]) ).

tcf(c_1588,plain,
    ( ( iPr_def_17 = iPr_def_26 )
    | ( sk_c8 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_591,c_563]) ).

tcf(c_1652,plain,
    ( ( sk_c9 = iPr_def_20 )
    | ( multiply(sk_c8,iPr_def_26) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_592,c_542]) ).

tcf(c_1820,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( sk_c9 = iPr_def_26 ) ),
    inference(superposition,[status(thm)],[c_595,c_594]) ).

tcf(c_2263,plain,
    ( ( iPr_def_14 = iPr_def_18 )
    | ( sk_c7 = iPr_def_14 )
    | ( sk_c8 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_600,c_597]) ).

tcf(c_2495,plain,
    ! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0),
    inference(superposition,[status(thm)],[c_548,c_97]) ).

tcf(c_2501,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_96,c_97]) ).

tcf(c_2503,plain,
    ! [X0: $i] : multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1062,c_97]) ).

tcf(c_2504,plain,
    ! [X0: $i] : multiply(iPr_def_21,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1063,c_97]) ).

tcf(c_2505,plain,
    ! [X0: $i] : multiply(iPr_def_19,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1064,c_97]) ).

tcf(c_2507,plain,
    ! [X0: $i] : multiply(iPr_def_25,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1066,c_97]) ).

tcf(c_2508,plain,
    ! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_1067,c_97]) ).

tcf(c_2510,plain,
    ! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2508,c_95]) ).

tcf(c_2511,plain,
    ! [X0: $i] : multiply(iPr_def_25,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2507,c_95]) ).

tcf(c_2513,plain,
    ! [X0: $i] : multiply(iPr_def_19,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2505,c_95]) ).

tcf(c_2514,plain,
    ! [X0: $i] : multiply(iPr_def_21,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2504,c_95]) ).

tcf(c_2515,plain,
    ! [X0: $i] : multiply(iPr_def_15,multiply(sk_c8,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2503,c_95]) ).

tcf(c_3103,plain,
    ( ~ iPr_def_12
    | ( sk_c7 != iPr_def_18 )
    | ( inverse(sk_c6) != sk_c9 ) ),
    inference(superposition,[status(thm)],[c_546,c_557]) ).

tcf(c_3104,plain,
    ( ~ iPr_def_12
    | ( sk_c7 != iPr_def_23 )
    | ( inverse(sk_c2) != sk_c9 ) ),
    inference(superposition,[status(thm)],[c_551,c_557]) ).

tcf(c_3126,plain,
    ( ~ iPr_def_12
    | ( sk_c7 != iPr_def_23 )
    | ( sk_c9 != iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_3104,c_545]) ).

tcf(c_3130,plain,
    ( ~ iPr_def_12
    | ( sk_c7 != iPr_def_18 )
    | ( sk_c9 != iPr_def_16 ) ),
    inference(light_normalisation,[status(thm)],[c_3103,c_544]) ).

tcf(c_3290,plain,
    ( ~ iPr_def_11
    | ( sk_c7 != iPr_def_22 )
    | ( inverse(sk_c4) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_550,c_559]) ).

tcf(c_3296,plain,
    ( ~ iPr_def_11
    | ( sk_c7 != identity )
    | ( inverse(iPr_def_15) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_1062,c_559]) ).

tcf(c_3316,plain,
    ( ~ iPr_def_11
    | ( sk_c7 != iPr_def_22 )
    | ( sk_c8 != iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_3290,c_549]) ).

tcf(c_3370,plain,
    ( ~ iPr_def_10
    | ( sk_c9 != identity )
    | ( inverse(iPr_def_15) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_1062,c_560]) ).

tcf(c_3491,plain,
    ( ~ iPr_def_13
    | ( inverse(sk_c6) != sk_c9 )
    | ( multiply(sk_c9,iPr_def_18) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_546,c_556]) ).

tcf(c_3492,plain,
    ( ~ iPr_def_13
    | ( inverse(sk_c2) != sk_c9 )
    | ( multiply(sk_c9,iPr_def_23) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_551,c_556]) ).

tcf(c_3518,plain,
    ( ~ iPr_def_13
    | ( sk_c9 != iPr_def_16 )
    | ( multiply(sk_c9,iPr_def_18) != sk_c8 ) ),
    inference(light_normalisation,[status(thm)],[c_3491,c_544]) ).

tcf(c_4362,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( multiply(iPr_def_25,sk_c9) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_1446,c_542]) ).

tcf(c_4667,plain,
    ( ( iPr_def_17 = iPr_def_26 )
    | ( multiply(iPr_def_19,sk_c9) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_1588,c_542]) ).

tcf(c_5603,plain,
    multiply(iPr_def_17,iPr_def_23) = sk_c9,
    inference(superposition,[status(thm)],[c_551,c_2510]) ).

tcf(c_5612,plain,
    multiply(iPr_def_25,iPr_def_26) = sk_c8,
    inference(superposition,[status(thm)],[c_554,c_2511]) ).

tcf(c_5689,plain,
    multiply(iPr_def_19,iPr_def_20) = sk_c8,
    inference(superposition,[status(thm)],[c_548,c_2513]) ).

tcf(c_5934,plain,
    multiply(iPr_def_21,iPr_def_22) = sk_c8,
    inference(superposition,[status(thm)],[c_550,c_2514]) ).

tcf(c_5939,plain,
    multiply(iPr_def_15,iPr_def_14) = sk_c9,
    inference(superposition,[status(thm)],[c_542,c_2515]) ).

tcf(c_6537,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( multiply(iPr_def_17,iPr_def_23) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_572,c_1027]) ).

tcf(c_6543,plain,
    ( ( sk_c9 = iPr_def_24 )
    | ( sk_c8 = iPr_def_21 ) ),
    inference(light_normalisation,[status(thm)],[c_6537,c_5603]) ).

tcf(c_6593,plain,
    ( ( sk_c8 = iPr_def_19 )
    | ( multiply(iPr_def_17,iPr_def_23) = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_570,c_1029]) ).

tcf(c_6597,plain,
    ( ( sk_c9 = iPr_def_24 )
    | ( sk_c8 = iPr_def_19 ) ),
    inference(light_normalisation,[status(thm)],[c_6593,c_5603]) ).

tcf(c_6840,plain,
    ( ( iPr_def_17 = iPr_def_24 )
    | ( sk_c8 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_6543,c_565]) ).

tcf(c_6992,plain,
    ( ( iPr_def_24 = iPr_def_26 )
    | ( sk_c8 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_6597,c_591]) ).

tcf(c_7004,plain,
    ( ( iPr_def_17 = iPr_def_24 )
    | ( sk_c8 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_6597,c_563]) ).

tcf(c_7805,plain,
    ( ( iPr_def_24 = iPr_def_26 )
    | ( multiply(iPr_def_19,sk_c9) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_6992,c_542]) ).

tcf(c_7989,plain,
    ( ( iPr_def_19 = iPr_def_21 )
    | ( iPr_def_17 = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_7004,c_6840]) ).

tcf(c_10354,plain,
    ( ( sk_c8 = iPr_def_19 )
    | ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_591,c_1287]) ).

tcf(c_10367,plain,
    ( ( sk_c8 = iPr_def_19 )
    | ( sk_c8 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_10354,c_5612]) ).

tcf(c_10540,plain,
    ( ( sk_c8 = iPr_def_14 )
    | ( multiply(iPr_def_19,sk_c9) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_10367,c_542]) ).

tcf(c_10653,plain,
    ( ( sk_c8 = iPr_def_25 )
    | ( sk_c8 = iPr_def_14 )
    | ( multiply(iPr_def_19,iPr_def_20) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_10367,c_1330]) ).

tcf(c_10712,plain,
    ( ( sk_c8 = iPr_def_25 )
    | ( sk_c8 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_10653,c_5689]) ).

tcf(c_11257,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_593,c_1389]) ).

tcf(c_11272,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( sk_c8 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_11257,c_5612]) ).

tcf(c_11373,plain,
    ( ( iPr_def_19 = iPr_def_21 )
    | ( sk_c8 = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_11272,c_10367]) ).

tcf(c_12720,plain,
    ( ( sk_c9 = iPr_def_20 )
    | ( sk_c8 = iPr_def_14 )
    | ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_10712,c_1652]) ).

tcf(c_12833,plain,
    ( ( sk_c9 = iPr_def_20 )
    | ( sk_c8 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_12720,c_5612]) ).

tcf(c_13331,plain,
    ( ( iPr_def_19 = iPr_def_21 )
    | ( iPr_def_14 = iPr_def_24 )
    | ( sk_c8 = iPr_def_21 ) ),
    inference(superposition,[status(thm)],[c_11373,c_579]) ).

tcf(c_13332,plain,
    ( ( iPr_def_19 = iPr_def_21 )
    | ( iPr_def_14 = iPr_def_24 )
    | ( sk_c8 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_11373,c_577]) ).

tcf(c_24930,plain,
    ( ( sk_c8 = iPr_def_21 )
    | ( sk_c7 = iPr_def_14 ) ),
    inference(global_subsumption_just,[status(thm)],[c_2263,c_597,c_1130,c_1163,c_1236,c_1371,c_2263]) ).

tcf(c_24931,plain,
    ( ( sk_c7 = iPr_def_14 )
    | ( sk_c8 = iPr_def_21 ) ),
    inference(renaming,[status(thm)],[c_24930]) ).

tcf(c_26702,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2501,c_95]) ).

tcf(c_26750,plain,
    ! [X0: $i] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_95,c_26702]) ).

tcf(c_26751,plain,
    ! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_96,c_26702]) ).

tcf(c_26888,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_2515,c_26702]) ).

tcf(c_26889,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2514,c_26702]) ).

tcf(c_26890,plain,
    ! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2513,c_26702]) ).

tcf(c_26926,plain,
    ! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_26702,c_26702]) ).

tcf(c_27869,plain,
    ( ~ iPr_def_11
    | ( sk_c8 != sk_c7 )
    | ( inverse(inverse(identity)) != sk_c8 ) ),
    inference(superposition,[status(thm)],[c_26750,c_559]) ).

tcf(c_27929,plain,
    ! [X0: $i] : multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_26751,c_26926]) ).

tcf(c_27952,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_27929,c_26750]) ).

tcf(c_28013,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_1820,c_4362]) ).

tcf(c_28035,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( sk_c8 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_28013,c_5612]) ).

tcf(c_28132,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_27952,c_96]) ).

tcf(c_28595,plain,
    ( ( iPr_def_17 = iPr_def_26 )
    | ( sk_c8 = iPr_def_14 )
    | ( multiply(iPr_def_19,iPr_def_20) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_12833,c_4667]) ).

tcf(c_28646,plain,
    ( ( iPr_def_17 = iPr_def_26 )
    | ( sk_c8 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_28595,c_5689]) ).

tcf(c_28754,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( iPr_def_14 = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_28035,c_1186]) ).

tcf(c_28763,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
    inference(superposition,[status(thm)],[c_28035,c_1062]) ).

tcf(c_28786,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( sk_c9 = identity ) ),
    inference(light_normalisation,[status(thm)],[c_28763,c_5939]) ).

tcf(c_29964,plain,
    ( ( iPr_def_17 = iPr_def_26 )
    | ( iPr_def_14 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_28646,c_1588]) ).

tcf(c_31026,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( identity = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_28786,c_915]) ).

tcf(c_32991,plain,
    ! [X0: $i] :
      ( ( iPr_def_15 = iPr_def_22 )
      | ( multiply(iPr_def_17,X0) = X0 ) ),
    inference(superposition,[status(thm)],[c_31026,c_95]) ).

tcf(c_33294,plain,
    multiply(sk_c8,iPr_def_15) = identity,
    inference(superposition,[status(thm)],[c_26888,c_96]) ).

tcf(c_33300,plain,
    multiply(sk_c8,identity) = inverse(iPr_def_15),
    inference(superposition,[status(thm)],[c_26888,c_27929]) ).

tcf(c_33441,plain,
    multiply(sk_c5,identity) = multiply(iPr_def_20,iPr_def_15),
    inference(superposition,[status(thm)],[c_33294,c_2495]) ).

tcf(c_33443,plain,
    multiply(iPr_def_15,identity) = iPr_def_15,
    inference(superposition,[status(thm)],[c_33294,c_2515]) ).

tcf(c_37804,plain,
    inverse(iPr_def_15) = sk_c8,
    inference(demodulation,[status(thm)],[c_33300,c_27929]) ).

tcf(c_39019,plain,
    multiply(iPr_def_20,iPr_def_15) = sk_c5,
    inference(demodulation,[status(thm)],[c_33441,c_27929]) ).

tcf(c_39903,plain,
    multiply(sk_c4,iPr_def_21) = identity,
    inference(superposition,[status(thm)],[c_26889,c_96]) ).

tcf(c_39908,plain,
    ! [X0: $i] : multiply(sk_c4,multiply(iPr_def_21,X0)) = X0,
    inference(superposition,[status(thm)],[c_26889,c_26702]) ).

tcf(c_39909,plain,
    multiply(sk_c4,identity) = inverse(iPr_def_21),
    inference(superposition,[status(thm)],[c_26889,c_27929]) ).

tcf(c_40370,plain,
    inverse(iPr_def_21) = sk_c4,
    inference(demodulation,[status(thm)],[c_39909,c_27929]) ).

tcf(c_40395,plain,
    multiply(sk_c4,sk_c8) = iPr_def_22,
    inference(superposition,[status(thm)],[c_5934,c_39908]) ).

tcf(c_42501,plain,
    multiply(sk_c5,identity) = inverse(iPr_def_19),
    inference(superposition,[status(thm)],[c_26890,c_27929]) ).

tcf(c_42596,plain,
    inverse(iPr_def_19) = sk_c5,
    inference(demodulation,[status(thm)],[c_42501,c_27929]) ).

tcf(c_55409,plain,
    ( ( iPr_def_19 = iPr_def_21 )
    | ( iPr_def_14 = iPr_def_24 ) ),
    inference(superposition,[status(thm)],[c_13332,c_13331]) ).

tcf(c_56048,plain,
    ( ( iPr_def_24 = iPr_def_26 )
    | ( sk_c8 = iPr_def_14 )
    | ( multiply(iPr_def_19,iPr_def_20) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_12833,c_7805]) ).

tcf(c_56110,plain,
    ( ( iPr_def_24 = iPr_def_26 )
    | ( sk_c8 = iPr_def_14 ) ),
    inference(light_normalisation,[status(thm)],[c_56048,c_5689]) ).

tcf(c_56835,plain,
    ( ( iPr_def_19 = iPr_def_21 )
    | ( iPr_def_14 = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_55409,c_7989]) ).

tcf(c_56943,plain,
    ( ( iPr_def_24 = iPr_def_26 )
    | ( iPr_def_14 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_56110,c_6992]) ).

tcf(c_58947,plain,
    ( ( iPr_def_14 = iPr_def_17 )
    | ( inverse(iPr_def_19) = sk_c4 ) ),
    inference(superposition,[status(thm)],[c_56835,c_40370]) ).

tcf(c_58961,plain,
    ( ( iPr_def_14 = iPr_def_17 )
    | ( sk_c4 = sk_c5 ) ),
    inference(light_normalisation,[status(thm)],[c_58947,c_42596]) ).

tcf(c_59330,plain,
    ( ( iPr_def_17 = iPr_def_24 )
    | ( iPr_def_14 = iPr_def_19 ) ),
    inference(superposition,[status(thm)],[c_56943,c_29964]) ).

tcf(c_64731,plain,
    ( ( iPr_def_14 = iPr_def_17 )
    | ( multiply(sk_c4,sk_c8) = iPr_def_20 ) ),
    inference(superposition,[status(thm)],[c_58961,c_548]) ).

tcf(c_64734,plain,
    ( ( iPr_def_20 = iPr_def_22 )
    | ( iPr_def_14 = iPr_def_17 ) ),
    inference(light_normalisation,[status(thm)],[c_64731,c_40395]) ).

tcf(c_76102,plain,
    ( ( sk_c8 = iPr_def_14 )
    | ( multiply(iPr_def_19,iPr_def_20) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_12833,c_10540]) ).

tcf(c_76153,plain,
    sk_c8 = iPr_def_14,
    inference(light_normalisation,[status(thm)],[c_76102,c_5689]) ).

tcf(c_76218,plain,
    inverse(iPr_def_15) = iPr_def_14,
    inference(demodulation,[status(thm)],[c_37804,c_76153]) ).

tcf(c_76219,plain,
    multiply(iPr_def_14,iPr_def_15) = identity,
    inference(demodulation,[status(thm)],[c_33294,c_76153]) ).

tcf(c_76314,plain,
    multiply(iPr_def_21,iPr_def_22) = iPr_def_14,
    inference(demodulation,[status(thm)],[c_5934,c_76153]) ).

tcf(c_76323,plain,
    multiply(iPr_def_19,iPr_def_20) = iPr_def_14,
    inference(demodulation,[status(thm)],[c_5689,c_76153]) ).

tcf(c_76339,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ( inverse(X0) != iPr_def_14 )
      | ( multiply(X0,iPr_def_14) != sk_c7 ) ),
    inference(demodulation,[status(thm)],[c_559,c_76153]) ).

tcf(c_76352,plain,
    ( ( iPr_def_14 = iPr_def_24 )
    | ( sk_c7 = iPr_def_15 ) ),
    inference(demodulation,[status(thm)],[c_581,c_76153]) ).

tcf(c_76356,plain,
    ( ( iPr_def_14 = iPr_def_24 )
    | ( iPr_def_14 = iPr_def_19 ) ),
    inference(demodulation,[status(thm)],[c_577,c_76153]) ).

tcf(c_76357,plain,
    multiply(iPr_def_15,iPr_def_14) = identity,
    inference(demodulation,[status(thm)],[c_1062,c_76153]) ).

tcf(c_76359,plain,
    multiply(sk_c4,iPr_def_14) = iPr_def_22,
    inference(demodulation,[status(thm)],[c_550,c_76153]) ).

tcf(c_76365,plain,
    inverse(iPr_def_14) = iPr_def_15,
    inference(demodulation,[status(thm)],[c_543,c_76153]) ).

tcf(c_76384,plain,
    sk_c9 = identity,
    inference(demodulation,[status(thm)],[c_5939,c_76357]) ).

tcf(c_76458,plain,
    multiply(iPr_def_17,iPr_def_23) = identity,
    inference(demodulation,[status(thm)],[c_5603,c_76384]) ).

tcf(c_76474,plain,
    multiply(identity,sk_c3) = iPr_def_24,
    inference(demodulation,[status(thm)],[c_552,c_76384]) ).

tcf(c_77443,plain,
    ( ( iPr_def_14 = iPr_def_19 )
    | ( iPr_def_14 = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_76356,c_59330]) ).

tcf(c_78322,plain,
    multiply(inverse(iPr_def_17),identity) = iPr_def_23,
    inference(superposition,[status(thm)],[c_76458,c_26702]) ).

tcf(c_78324,plain,
    sk_c3 = iPr_def_24,
    inference(demodulation,[status(thm)],[c_76474,c_95]) ).

tcf(c_78338,plain,
    ( ( iPr_def_23 = iPr_def_24 )
    | ( sk_c7 = iPr_def_15 ) ),
    inference(demodulation,[status(thm)],[c_574,c_78324]) ).

tcf(c_78339,plain,
    ( ( iPr_def_23 = iPr_def_24 )
    | ( sk_c7 = iPr_def_22 ) ),
    inference(demodulation,[status(thm)],[c_573,c_78324]) ).

tcf(c_78593,plain,
    ( ( iPr_def_23 = iPr_def_24 )
    | ( iPr_def_15 = iPr_def_22 ) ),
    inference(superposition,[status(thm)],[c_78339,c_78338]) ).

tcf(c_79412,plain,
    ( ( iPr_def_14 = iPr_def_17 )
    | ( inverse(iPr_def_14) = sk_c5 ) ),
    inference(superposition,[status(thm)],[c_77443,c_42596]) ).

tcf(c_79422,plain,
    ( ( iPr_def_14 = iPr_def_17 )
    | ( sk_c5 = iPr_def_15 ) ),
    inference(light_normalisation,[status(thm)],[c_79412,c_76365]) ).

tcf(c_80036,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( iPr_def_14 = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_78593,c_28754]) ).

tcf(c_80531,plain,
    ( ( iPr_def_14 = iPr_def_17 )
    | ( multiply(iPr_def_19,iPr_def_15) = identity ) ),
    inference(superposition,[status(thm)],[c_79422,c_1064]) ).

tcf(c_84034,plain,
    ( ~ iPr_def_11
    | ( sk_c7 != identity ) ),
    inference(ground_joinability,[status(thm)],[c_3296,c_76153,c_76218]) ).

tcf(c_84063,plain,
    ( ( sk_c7 = iPr_def_14 )
    | ~ iPr_def_11
    | ( identity != iPr_def_15 ) ),
    inference(superposition,[status(thm)],[c_602,c_84034]) ).

tcf(c_84120,plain,
    ( ( sk_c7 = iPr_def_14 )
    | ~ iPr_def_11 ),
    inference(global_subsumption_just,[status(thm)],[c_84063,c_601,c_1130,c_1164,c_1236,c_3316,c_24931]) ).

tcf(c_84305,plain,
    ( ~ iPr_def_10
    | ( inverse(iPr_def_15) != sk_c8 ) ),
    inference(global_subsumption_just,[status(thm)],[c_3370,c_3370,c_76384]) ).

tcf(c_84307,plain,
    ~ iPr_def_10,
    inference(ground_joinability,[status(thm)],[c_84305,c_76153,c_76218]) ).

tcf(c_84308,plain,
    ( iPr_def_13
    | iPr_def_12
    | iPr_def_11
    | ( sk_c7 != iPr_def_15 )
    | ( sk_c7 != iPr_def_14 ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_555,c_84307]) ).

tcf(c_85718,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( identity = iPr_def_23 ) ),
    inference(superposition,[status(thm)],[c_32991,c_76458]) ).

tcf(c_85904,plain,
    ( ( iPr_def_17 = iPr_def_23 )
    | ( iPr_def_15 = iPr_def_22 ) ),
    inference(superposition,[status(thm)],[c_85718,c_31026]) ).

tcf(c_86231,plain,
    ( ( iPr_def_15 = iPr_def_22 )
    | ( iPr_def_14 = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_85904,c_80036]) ).

tcf(c_86588,plain,
    ( ( iPr_def_15 = iPr_def_20 )
    | ( iPr_def_14 = iPr_def_17 ) ),
    inference(superposition,[status(thm)],[c_86231,c_64734]) ).

tcf(c_86765,plain,
    ( ~ iPr_def_11
    | ( inverse(inverse(identity)) != sk_c8 ) ),
    inference(global_subsumption_just,[status(thm)],[c_27869,c_1255,c_27869,c_76153,c_84120]) ).

tcf(c_87115,plain,
    ( ( iPr_def_14 = iPr_def_17 )
    | ( multiply(iPr_def_19,iPr_def_15) = iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_86588,c_76323]) ).

tcf(c_88717,plain,
    ( ~ iPr_def_11
    | ( sk_c7 != iPr_def_22 )
    | ( inverse(sk_c4) != iPr_def_14 ) ),
    inference(superposition,[status(thm)],[c_76359,c_76339]) ).

tcf(c_89173,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_88717,c_87115,c_86765,c_84308,c_84307,c_80531,c_78338,c_78322,c_76458,c_76384,c_76365,c_76357,c_76352,c_76314,c_76219,c_76359,c_76153,c_42596,c_39903,c_39019,c_33443,c_27952,c_3518,c_3492,c_3130,c_3126,c_28132,c_602,c_601,c_600,c_567,c_566,c_565,c_564,c_563,c_562,c_561,c_555,c_549,c_545]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : GRP329-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/0.44  % Computer : n008.cluster.edu
% 0.19/0.44  % Model    : x86_64 x86_64
% 0.19/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44  % Memory   : 8046.5625MB
% 0.19/0.44  % OS       : Linux 6.8.0-71-generic
% 0.19/0.44  % CPULimit : 300
% 0.19/0.44  % WCLimit  : 300
% 0.19/0.44  % DateTime : Wed Sep 23 14:29:40 UTC 2026
% 0.19/0.44  % CPUTime  : 
% 0.19/0.44  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/0.50  Running first-order theorem proving
% 0.19/0.50  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.51  
% 0.27/0.52  % ======== iProver multi-core TPTP/SMT =========
% 0.27/0.52  
% 0.27/0.52  % Detected problem language: tptp
% 0.27/0.53  % Proving...
% 21.37/4.89  % SZS status Started for theBenchmark.p
% 21.37/4.89  % SZS status Unsatisfiable for theBenchmark.p
% 21.37/4.89  
% 21.37/4.89  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.37/4.89  
% 21.37/4.89  % ------  iProver source info
% 21.37/4.89  
% 21.37/4.89  % git: date: 2026-07-19 20:42:38 +0200
% 21.37/4.89  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.37/4.89  % git: non_committed_changes: false
% 21.37/4.89  
% 21.37/4.89  % ------ Parsing...% successful
% 21.37/4.89  
% 21.37/4.89  
% 21.37/4.89  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 21.37/4.89  
% 21.37/4.89  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 21.37/4.89  
% 21.37/4.89  % ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 21.37/4.89  
% 21.37/4.89  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 21.37/4.89  % ------ Proving...
% 21.37/4.89  % ------ Problem Properties 
% 21.37/4.89  
% 21.37/4.89  % 
% 21.37/4.89  % clauses                               63
% 21.37/4.89  % conjectures                           47
% 21.37/4.89  % EPR                                   43
% 21.37/4.89  % Horn                                  20
% 21.37/4.89  % unary                                 16
% 21.37/4.89  % binary                                42
% 21.37/4.89  % lits                                  118
% 21.37/4.89  % lits eq                               110
% 21.37/4.90  % fd_pure                               0
% 21.37/4.90  % fd_pseudo                             0
% 21.37/4.90  % fd_cond                               0
% 21.37/4.90  % fd_pseudo_cond                        0
% 21.37/4.90  % AC symbols                            0
% 21.37/4.90  
% 21.37/4.90  % ------ Schedule dynamic 5 is on 
% 21.37/4.90  
% 21.37/4.90  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.37/4.90  
% 21.37/4.90  
% 21.37/4.90  % ------ 
% 21.37/4.90  % Current options:
% 21.37/4.90  % ------ 
% 21.37/4.90  
% 21.37/4.90  
% 21.37/4.90  % 
% 21.37/4.90  
% 21.37/4.90  % ------ Proving...
% 21.37/4.90  % 
% 21.37/4.90  
% 21.37/4.90  % SZS status Unsatisfiable for theBenchmark.p
% 21.37/4.90  
% 21.37/4.90  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.50/4.90  
% 29.50/4.90  
%------------------------------------------------------------------------------