TSTP Solution File: GRP312-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP312-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:59:16 EDT 2023

% Result   : Unsatisfiable 7.82s 1.66s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   31
% Syntax   : Number of clauses     :  214 (  43 unt;  89 nHn; 188 RR)
%            Number of literals    :  503 ( 447 equ; 220 neg)
%            Maximal clause size   :   17 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :  116 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    ( multiply(sk_c11,sk_c12) = sk_c10
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c11,sk_c12) = sk_c10
    | multiply(sk_c6,sk_c9) = sk_c12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c11,sk_c12) = sk_c10
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c4,sk_c12) = sk_c11
    | multiply(sk_c1,sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c1,sk_c12) = sk_c11
    | inverse(sk_c4) = sk_c12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c1,sk_c12) = sk_c11
    | inverse(sk_c5) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c4,sk_c12) = sk_c11
    | inverse(sk_c1) = sk_c12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( inverse(sk_c4) = sk_c12
    | inverse(sk_c1) = sk_c12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_81,negated_conjecture,
    ( multiply(sk_c5,sk_c11) = sk_c10
    | multiply(sk_c2,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

cnf(c_82,negated_conjecture,
    ( multiply(sk_c2,sk_c11) = sk_c10
    | inverse(sk_c5) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

cnf(c_89,negated_conjecture,
    ( multiply(sk_c4,sk_c12) = sk_c11
    | inverse(sk_c2) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

cnf(c_90,negated_conjecture,
    ( inverse(sk_c4) = sk_c12
    | inverse(sk_c2) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).

cnf(c_91,negated_conjecture,
    ( multiply(sk_c5,sk_c11) = sk_c10
    | inverse(sk_c2) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

cnf(c_92,negated_conjecture,
    ( inverse(sk_c5) = sk_c11
    | inverse(sk_c2) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

cnf(c_101,negated_conjecture,
    ( multiply(sk_c5,sk_c11) = sk_c10
    | multiply(sk_c3,sk_c11) = sk_c12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).

cnf(c_102,negated_conjecture,
    ( multiply(sk_c3,sk_c11) = sk_c12
    | inverse(sk_c5) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).

cnf(c_103,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = sk_c12
    | multiply(sk_c3,sk_c11) = sk_c12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).

cnf(c_109,negated_conjecture,
    ( multiply(sk_c4,sk_c12) = sk_c11
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).

cnf(c_110,negated_conjecture,
    ( inverse(sk_c4) = sk_c12
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_62) ).

cnf(c_111,negated_conjecture,
    ( multiply(sk_c5,sk_c11) = sk_c10
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_63) ).

cnf(c_112,negated_conjecture,
    ( inverse(sk_c5) = sk_c11
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_64) ).

cnf(c_113,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = sk_c12
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_65) ).

cnf(c_114,negated_conjecture,
    ( inverse(sk_c6) = sk_c9
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_66) ).

cnf(c_115,negated_conjecture,
    ( multiply(sk_c9,sk_c11) = sk_c12
    | inverse(sk_c3) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_67) ).

cnf(c_119,negated_conjecture,
    ( multiply(X0,X1) != sk_c12
    | multiply(X2,X1) != X3
    | multiply(X1,sk_c11) != sk_c12
    | multiply(X4,sk_c12) != sk_c11
    | multiply(X5,sk_c11) != sk_c10
    | multiply(X6,sk_c11) != sk_c12
    | multiply(X7,sk_c12) != sk_c11
    | multiply(X8,sk_c11) != sk_c10
    | multiply(sk_c11,sk_c12) != sk_c10
    | inverse(X0) != X1
    | inverse(X2) != X3
    | inverse(X3) != X1
    | inverse(X4) != sk_c12
    | inverse(X5) != sk_c11
    | inverse(X6) != sk_c11
    | inverse(X7) != sk_c12
    | inverse(X8) != sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_71) ).

cnf(c_120,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_121,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_122,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_123,negated_conjecture,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X1,inverse(X1)) != sk_c12
    | multiply(inverse(X1),sk_c11) != sk_c12
    | multiply(X2,sk_c12) != sk_c11
    | multiply(X3,sk_c11) != sk_c10
    | multiply(X4,sk_c11) != sk_c12
    | multiply(X5,sk_c12) != sk_c11
    | multiply(X6,sk_c11) != sk_c10
    | multiply(sk_c11,sk_c12) != sk_c10
    | inverse(X0) != multiply(X0,inverse(X1))
    | inverse(X2) != sk_c12
    | inverse(X3) != sk_c11
    | inverse(X4) != sk_c11
    | inverse(X5) != sk_c12
    | inverse(X6) != sk_c11 ),
    inference(unflattening,[status(thm)],[c_119]) ).

cnf(c_756,negated_conjecture,
    ( multiply(X0,sk_c11) != sk_c12
    | inverse(X0) != sk_c11
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_123]) ).

cnf(c_757,negated_conjecture,
    ( multiply(X0,sk_c12) != sk_c11
    | inverse(X0) != sk_c12
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_123]) ).

cnf(c_758,negated_conjecture,
    ( multiply(X0,sk_c11) != sk_c10
    | inverse(X0) != sk_c11
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_123]) ).

cnf(c_759,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c12
    | multiply(inverse(X0),sk_c11) != sk_c12
    | inverse(X1) != multiply(X1,inverse(X0))
    | inverse(multiply(X1,inverse(X0))) != inverse(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_123]) ).

cnf(c_760,negated_conjecture,
    ( multiply(sk_c11,sk_c12) != sk_c10
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_123]) ).

cnf(c_761,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_762,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_763,plain,
    ( X0 != X1
    | X2 != X3
    | multiply(X0,X2) = multiply(X1,X3) ),
    theory(equality) ).

cnf(c_767,plain,
    sk_c11 = sk_c11,
    inference(instantiation,[status(thm)],[c_761]) ).

cnf(c_1561,plain,
    ( inverse(sk_c5) != sk_c11
    | sk_c12 != sk_c10
    | ~ sP0_iProver_split
    | multiply(sk_c3,sk_c11) = sk_c12 ),
    inference(superposition,[status(thm)],[c_101,c_756]) ).

cnf(c_1569,plain,
    ( inverse(sk_c9) != sk_c11
    | ~ sP0_iProver_split
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_115,c_756]) ).

cnf(c_1582,plain,
    ( inverse(sk_c3) != sk_c11
    | ~ sP0_iProver_split
    | inverse(sk_c5) = sk_c11 ),
    inference(superposition,[status(thm)],[c_102,c_756]) ).

cnf(c_1584,plain,
    ( inverse(identity) != sk_c11
    | sk_c11 != sk_c12
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_120,c_756]) ).

cnf(c_1585,plain,
    ( inverse(inverse(sk_c11)) != sk_c11
    | sk_c12 != identity
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_121,c_756]) ).

cnf(c_1698,plain,
    ( inverse(identity) != sk_c12
    | sk_c11 != sk_c12
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_120,c_757]) ).

cnf(c_1773,plain,
    ( inverse(sk_c5) != sk_c11
    | ~ sP2_iProver_split
    | multiply(sk_c3,sk_c11) = sk_c12 ),
    inference(superposition,[status(thm)],[c_101,c_758]) ).

cnf(c_1776,plain,
    ( inverse(sk_c5) != sk_c11
    | ~ sP2_iProver_split
    | multiply(sk_c11,sk_c12) = sk_c10 ),
    inference(superposition,[status(thm)],[c_51,c_758]) ).

cnf(c_1778,plain,
    ( inverse(sk_c5) != sk_c11
    | ~ sP2_iProver_split
    | inverse(sk_c2) = sk_c11 ),
    inference(superposition,[status(thm)],[c_91,c_758]) ).

cnf(c_1788,plain,
    ( inverse(sk_c2) != sk_c11
    | ~ sP2_iProver_split
    | inverse(sk_c5) = sk_c11 ),
    inference(superposition,[status(thm)],[c_82,c_758]) ).

cnf(c_1796,plain,
    ( inverse(identity) != sk_c11
    | sk_c11 != sk_c10
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_120,c_758]) ).

cnf(c_1797,plain,
    ( inverse(inverse(sk_c11)) != sk_c11
    | sk_c10 != identity
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_121,c_758]) ).

cnf(c_1885,plain,
    ( multiply(sk_c11,sk_c12) != X0
    | X1 != X0
    | multiply(sk_c11,sk_c12) = X1 ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_1887,plain,
    ( sk_c11 != X0
    | sk_c12 != X1
    | multiply(sk_c11,sk_c12) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_763]) ).

cnf(c_1890,plain,
    ( multiply(sk_c11,sk_c12) != X0
    | sk_c10 != X0
    | sk_c10 = multiply(sk_c11,sk_c12) ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_1902,plain,
    ( sk_c11 != X0
    | sk_c12 != sk_c12
    | multiply(sk_c11,sk_c12) = multiply(X0,sk_c12) ),
    inference(instantiation,[status(thm)],[c_1887]) ).

cnf(c_1903,plain,
    sk_c12 = sk_c12,
    inference(instantiation,[status(thm)],[c_761]) ).

cnf(c_1904,plain,
    ( X0 != X1
    | sk_c12 != X1
    | sk_c12 = X0 ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_1906,plain,
    ( multiply(sk_c11,sk_c12) != sk_c10
    | sk_c10 != sk_c10
    | sk_c10 = multiply(sk_c11,sk_c12) ),
    inference(instantiation,[status(thm)],[c_1890]) ).

cnf(c_1907,plain,
    sk_c10 = sk_c10,
    inference(instantiation,[status(thm)],[c_761]) ).

cnf(c_1908,plain,
    ( X0 != X1
    | sk_c10 != X1
    | sk_c10 = X0 ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_1912,plain,
    ( multiply(sk_c11,sk_c12) != X0
    | X1 != X0
    | X1 = multiply(sk_c11,sk_c12) ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_1913,plain,
    ( multiply(sk_c11,sk_c12) != sk_c11
    | sk_c11 != sk_c11
    | sk_c11 = multiply(sk_c11,sk_c12) ),
    inference(instantiation,[status(thm)],[c_1912]) ).

cnf(c_2063,plain,
    ( multiply(sk_c11,sk_c12) != multiply(X0,sk_c12)
    | X1 != multiply(X0,sk_c12)
    | multiply(sk_c11,sk_c12) = X1 ),
    inference(instantiation,[status(thm)],[c_1885]) ).

cnf(c_2069,plain,
    ( X0 != sk_c12
    | sk_c12 != sk_c12
    | sk_c12 = X0 ),
    inference(instantiation,[status(thm)],[c_1904]) ).

cnf(c_2077,plain,
    ( multiply(X0,sk_c12) != X1
    | X2 != X1
    | X2 = multiply(X0,sk_c12) ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_2165,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_121,c_122]) ).

cnf(c_2423,plain,
    ( multiply(identity,sk_c12) != sk_c12
    | sk_c12 != sk_c12
    | sk_c12 = multiply(identity,sk_c12) ),
    inference(instantiation,[status(thm)],[c_2069]) ).

cnf(c_2424,plain,
    multiply(identity,sk_c12) = sk_c12,
    inference(instantiation,[status(thm)],[c_120]) ).

cnf(c_2426,plain,
    ( X0 != X1
    | sk_c12 != X1
    | X0 = sk_c12 ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_2439,plain,
    ( multiply(sk_c11,sk_c12) != multiply(X0,sk_c12)
    | X1 != multiply(X0,sk_c12)
    | X1 = multiply(sk_c11,sk_c12) ),
    inference(instantiation,[status(thm)],[c_1912]) ).

cnf(c_2537,plain,
    ( multiply(inverse(sk_c12),sk_c12) != identity
    | X0 != identity
    | X0 = multiply(inverse(sk_c12),sk_c12) ),
    inference(instantiation,[status(thm)],[c_2077]) ).

cnf(c_2538,plain,
    multiply(inverse(sk_c12),sk_c12) = identity,
    inference(instantiation,[status(thm)],[c_121]) ).

cnf(c_2539,plain,
    ( multiply(inverse(sk_c12),sk_c12) != identity
    | sk_c11 != identity
    | sk_c11 = multiply(inverse(sk_c12),sk_c12) ),
    inference(instantiation,[status(thm)],[c_2537]) ).

cnf(c_2545,plain,
    ( multiply(X0,sk_c12) != X1
    | X2 != X1
    | multiply(X0,sk_c12) = X2 ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_2602,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2165,c_120]) ).

cnf(c_2628,plain,
    ( multiply(inverse(sk_c4),sk_c11) = sk_c12
    | inverse(sk_c1) = sk_c12 ),
    inference(superposition,[status(thm)],[c_69,c_2602]) ).

cnf(c_2673,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_120,c_2602]) ).

cnf(c_2674,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_121,c_2602]) ).

cnf(c_2675,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_122,c_2602]) ).

cnf(c_2691,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_2602,c_2602]) ).

cnf(c_2843,plain,
    ( multiply(sk_c11,sk_c12) != multiply(identity,sk_c12)
    | sk_c12 != multiply(identity,sk_c12)
    | sk_c12 = multiply(sk_c11,sk_c12) ),
    inference(instantiation,[status(thm)],[c_2439]) ).

cnf(c_2844,plain,
    ( multiply(sk_c11,sk_c12) != multiply(identity,sk_c12)
    | sk_c12 != multiply(identity,sk_c12)
    | multiply(sk_c11,sk_c12) = sk_c12 ),
    inference(instantiation,[status(thm)],[c_2063]) ).

cnf(c_2853,plain,
    ( X0 != X1
    | sk_c10 != X1
    | X0 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_2854,plain,
    ( sk_c11 != sk_c11
    | sk_c10 != sk_c11
    | sk_c11 = sk_c10 ),
    inference(instantiation,[status(thm)],[c_2853]) ).

cnf(c_2874,plain,
    ( multiply(sk_c3,sk_c11) != sk_c12
    | sk_c12 != sk_c12
    | sk_c12 = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_2069]) ).

cnf(c_2878,plain,
    ( multiply(sk_c3,sk_c11) != sk_c12
    | inverse(sk_c3) != sk_c11
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_756]) ).

cnf(c_2889,plain,
    ( X0 != multiply(sk_c11,sk_c12)
    | sk_c10 != multiply(sk_c11,sk_c12)
    | sk_c10 = X0 ),
    inference(instantiation,[status(thm)],[c_1908]) ).

cnf(c_2890,plain,
    ( sk_c11 != multiply(sk_c11,sk_c12)
    | sk_c10 != multiply(sk_c11,sk_c12)
    | sk_c10 = sk_c11 ),
    inference(instantiation,[status(thm)],[c_2889]) ).

cnf(c_2944,plain,
    ( X0 != multiply(sk_c3,sk_c11)
    | sk_c12 != multiply(sk_c3,sk_c11)
    | sk_c12 = X0 ),
    inference(instantiation,[status(thm)],[c_1904]) ).

cnf(c_3075,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_2674,c_2691]) ).

cnf(c_3083,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_3075,c_2673]) ).

cnf(c_3595,plain,
    ( multiply(sk_c12,sk_c11) = sk_c12
    | inverse(sk_c1) = sk_c12 ),
    inference(superposition,[status(thm)],[c_70,c_2628]) ).

cnf(c_3636,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_2691,c_121]) ).

cnf(c_3641,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_2691,c_3075]) ).

cnf(c_3642,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_3641,c_3075]) ).

cnf(c_3688,plain,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X0,inverse(X1)) != inverse(X0)
    | multiply(inverse(X1),sk_c11) != sk_c12
    | sk_c12 != identity
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_759,c_3636]) ).

cnf(c_3695,plain,
    inverse(inverse(sk_c11)) = sk_c11,
    inference(instantiation,[status(thm)],[c_3642]) ).

cnf(c_3729,plain,
    ( multiply(sk_c6,sk_c9) != X0
    | X1 != X0
    | X1 = multiply(sk_c6,sk_c9) ),
    inference(instantiation,[status(thm)],[c_762]) ).

cnf(c_4120,plain,
    ( multiply(sk_c4,sk_c12) = identity
    | inverse(sk_c2) = sk_c11 ),
    inference(superposition,[status(thm)],[c_90,c_3636]) ).

cnf(c_4121,plain,
    ( multiply(sk_c4,sk_c12) = identity
    | inverse(sk_c1) = sk_c12 ),
    inference(superposition,[status(thm)],[c_70,c_3636]) ).

cnf(c_4122,plain,
    ( multiply(sk_c5,sk_c11) = identity
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_112,c_3636]) ).

cnf(c_4123,plain,
    ( multiply(sk_c5,sk_c11) = identity
    | inverse(sk_c2) = sk_c11 ),
    inference(superposition,[status(thm)],[c_92,c_3636]) ).

cnf(c_4125,plain,
    ( multiply(sk_c6,sk_c9) = identity
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_114,c_3636]) ).

cnf(c_4249,plain,
    ( sk_c11 != identity
    | sk_c12 != sk_c12
    | multiply(sk_c11,sk_c12) = multiply(identity,sk_c12) ),
    inference(instantiation,[status(thm)],[c_1902]) ).

cnf(c_4921,plain,
    ( multiply(inverse(sk_c12),sk_c12) != identity
    | X0 != identity
    | multiply(inverse(sk_c12),sk_c12) = X0 ),
    inference(instantiation,[status(thm)],[c_2545]) ).

cnf(c_4976,plain,
    ( inverse(sk_c12) != sk_c11
    | ~ sP0_iProver_split
    | inverse(sk_c1) = sk_c12 ),
    inference(superposition,[status(thm)],[c_3595,c_756]) ).

cnf(c_5116,plain,
    ( inverse(sk_c2) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_4120,c_89]) ).

cnf(c_5136,plain,
    ( multiply(sk_c2,sk_c11) = identity
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_5116,c_3636]) ).

cnf(c_5137,plain,
    ( inverse(sk_c11) = sk_c2
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_5116,c_3642]) ).

cnf(c_5168,plain,
    ( inverse(sk_c1) = sk_c12
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_4121,c_69]) ).

cnf(c_5187,plain,
    ( multiply(sk_c1,sk_c12) = identity
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_5168,c_3636]) ).

cnf(c_5188,plain,
    ( inverse(sk_c12) = sk_c1
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_5168,c_3642]) ).

cnf(c_5235,plain,
    ( inverse(sk_c3) = sk_c11
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_4122,c_111]) ).

cnf(c_5331,plain,
    ( multiply(sk_c3,sk_c11) = identity
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_5235,c_3636]) ).

cnf(c_5679,plain,
    ( inverse(sk_c2) = sk_c11
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_4123,c_91]) ).

cnf(c_5704,plain,
    ( inverse(sk_c11) = sk_c2
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_5679,c_3642]) ).

cnf(c_5863,plain,
    ( inverse(sk_c3) = sk_c11
    | sk_c12 = identity ),
    inference(superposition,[status(thm)],[c_4125,c_113]) ).

cnf(c_7937,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_121,c_122]) ).

cnf(c_9103,plain,
    ( multiply(sk_c6,sk_c9) != sk_c12
    | X0 != sk_c12
    | X0 = multiply(sk_c6,sk_c9) ),
    inference(instantiation,[status(thm)],[c_3729]) ).

cnf(c_9770,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_7937,c_120]) ).

cnf(c_9841,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_120,c_9770]) ).

cnf(c_9842,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_121,c_9770]) ).

cnf(c_9859,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_9770,c_9770]) ).

cnf(c_11057,plain,
    ( multiply(sk_c11,sk_c12) != sk_c12
    | X0 != sk_c12
    | X0 = multiply(sk_c11,sk_c12) ),
    inference(instantiation,[status(thm)],[c_1912]) ).

cnf(c_11061,plain,
    ( multiply(sk_c11,sk_c12) != sk_c12
    | sk_c11 != sk_c12
    | sk_c11 = multiply(sk_c11,sk_c12) ),
    inference(instantiation,[status(thm)],[c_11057]) ).

cnf(c_11123,plain,
    ( X0 != multiply(sk_c11,sk_c12)
    | sk_c12 != multiply(sk_c11,sk_c12)
    | X0 = sk_c12 ),
    inference(instantiation,[status(thm)],[c_2426]) ).

cnf(c_11128,plain,
    ( sk_c11 != multiply(sk_c11,sk_c12)
    | sk_c12 != multiply(sk_c11,sk_c12)
    | sk_c11 = sk_c12 ),
    inference(instantiation,[status(thm)],[c_11123]) ).

cnf(c_11317,plain,
    ( multiply(sk_c6,sk_c9) != identity
    | X0 != identity
    | X0 = multiply(sk_c6,sk_c9) ),
    inference(instantiation,[status(thm)],[c_3729]) ).

cnf(c_11319,plain,
    ( multiply(sk_c6,sk_c9) != identity
    | sk_c11 != identity
    | sk_c11 = multiply(sk_c6,sk_c9) ),
    inference(instantiation,[status(thm)],[c_11317]) ).

cnf(c_11539,plain,
    ( X0 != multiply(inverse(sk_c12),sk_c12)
    | sk_c12 != multiply(inverse(sk_c12),sk_c12)
    | X0 = sk_c12 ),
    inference(instantiation,[status(thm)],[c_2426]) ).

cnf(c_11544,plain,
    ( sk_c11 != multiply(inverse(sk_c12),sk_c12)
    | sk_c12 != multiply(inverse(sk_c12),sk_c12)
    | sk_c11 = sk_c12 ),
    inference(instantiation,[status(thm)],[c_11539]) ).

cnf(c_11976,plain,
    ( ~ sP0_iProver_split
    | inverse(sk_c3) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_1569,c_1585,c_3695,c_5863]) ).

cnf(c_12311,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_9842,c_9859]) ).

cnf(c_12319,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_12311,c_9841]) ).

cnf(c_12375,plain,
    ( ~ sP0_iProver_split
    | inverse(sk_c5) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_1582,c_1582,c_11976]) ).

cnf(c_12397,plain,
    ( sk_c11 != sk_c12
    | sk_c11 != identity
    | ~ sP0_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_1584,c_3083]) ).

cnf(c_13046,plain,
    ( sk_c11 != sk_c12
    | sk_c12 != identity
    | ~ sP1_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_1698,c_3083]) ).

cnf(c_13059,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c2) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_1778,c_1797,c_3695,c_5679]) ).

cnf(c_13613,plain,
    ( multiply(inverse(sk_c12),sk_c12) != identity
    | multiply(sk_c3,sk_c11) != identity
    | multiply(inverse(sk_c12),sk_c12) = multiply(sk_c3,sk_c11) ),
    inference(instantiation,[status(thm)],[c_4921]) ).

cnf(c_13614,plain,
    ( multiply(inverse(sk_c12),sk_c12) != multiply(sk_c3,sk_c11)
    | sk_c12 != multiply(sk_c3,sk_c11)
    | sk_c12 = multiply(inverse(sk_c12),sk_c12) ),
    inference(instantiation,[status(thm)],[c_2944]) ).

cnf(c_13803,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c5) = sk_c11 ),
    inference(global_subsumption_just,[status(thm)],[c_1788,c_1788,c_13059]) ).

cnf(c_13815,plain,
    ( sk_c11 != sk_c10
    | sk_c11 != identity
    | ~ sP2_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_1796,c_3083]) ).

cnf(c_14112,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_9859,c_121]) ).

cnf(c_14117,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_9859,c_12311]) ).

cnf(c_14118,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_14117,c_12311]) ).

cnf(c_14784,plain,
    ( inverse(sk_c11) = sk_c5
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_112,c_14118]) ).

cnf(c_15268,plain,
    ( multiply(sk_c4,sk_c12) = identity
    | inverse(sk_c3) = sk_c11 ),
    inference(superposition,[status(thm)],[c_110,c_14112]) ).

cnf(c_15405,plain,
    ( inverse(sk_c5) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_5187,c_62]) ).

cnf(c_15406,plain,
    ( inverse(sk_c4) = sk_c12
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_5187,c_60]) ).

cnf(c_15498,plain,
    ( inverse(sk_c11) = sk_c5
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_15405,c_3642]) ).

cnf(c_15591,plain,
    ( inverse(sk_c12) = sk_c4
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_15406,c_3642]) ).

cnf(c_17357,plain,
    ( sk_c11 = identity
    | sk_c5 = sk_c2 ),
    inference(superposition,[status(thm)],[c_15498,c_5137]) ).

cnf(c_17434,plain,
    ( multiply(sk_c2,sk_c11) = sk_c10
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_17357,c_81]) ).

cnf(c_17582,plain,
    ( multiply(sk_c11,sk_c12) != sk_c12
    | multiply(sk_c6,sk_c9) != sk_c12
    | multiply(sk_c11,sk_c12) = multiply(sk_c6,sk_c9) ),
    inference(instantiation,[status(thm)],[c_9103]) ).

cnf(c_17640,plain,
    ( sk_c11 = identity
    | sk_c4 = sk_c1 ),
    inference(superposition,[status(thm)],[c_15591,c_5188]) ).

cnf(c_17670,plain,
    ( sk_c11 = identity
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_17434,c_5136]) ).

cnf(c_17676,plain,
    ( inverse(sk_c2) != sk_c11
    | ~ sP2_iProver_split
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_17434,c_758]) ).

cnf(c_17693,plain,
    ( ~ sP2_iProver_split
    | sk_c11 = identity ),
    inference(global_subsumption_just,[status(thm)],[c_17676,c_1797,c_3695,c_17670]) ).

cnf(c_17699,plain,
    ( sk_c11 != sk_c10
    | ~ sP2_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_13815,c_17693]) ).

cnf(c_18595,plain,
    ~ sP2_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_17699,c_767,c_1797,c_1776,c_1773,c_1903,c_1906,c_1907,c_2423,c_2424,c_2539,c_2538,c_2844,c_2854,c_2874,c_2890,c_3695,c_4249,c_5331,c_11061,c_11544,c_13613,c_13614,c_13803,c_17693,c_17699]) ).

cnf(c_18597,plain,
    ( multiply(sk_c11,sk_c12) != sk_c10
    | sP0_iProver_split
    | sP1_iProver_split
    | sP3_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_760,c_18595]) ).

cnf(c_18634,plain,
    ( multiply(sk_c1,sk_c12) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_17640,c_59]) ).

cnf(c_18791,plain,
    sk_c11 = identity,
    inference(superposition,[status(thm)],[c_18634,c_5187]) ).

cnf(c_18799,plain,
    ( sk_c11 != sk_c12
    | ~ sP0_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_12397,c_18791]) ).

cnf(c_18800,plain,
    ( multiply(identity,sk_c12) != sk_c10
    | sP0_iProver_split
    | sP1_iProver_split
    | sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_18597,c_18791]) ).

cnf(c_18853,plain,
    ( sk_c12 != identity
    | ~ sP1_iProver_split ),
    inference(demodulation,[status(thm)],[c_13046,c_18791]) ).

cnf(c_18942,plain,
    ( inverse(identity) = sk_c2
    | sk_c10 = identity ),
    inference(demodulation,[status(thm)],[c_5704,c_18791]) ).

cnf(c_19003,plain,
    ( multiply(sk_c5,identity) = sk_c10
    | multiply(sk_c2,identity) = sk_c10 ),
    inference(demodulation,[status(thm)],[c_81,c_18791]) ).

cnf(c_19013,plain,
    ( multiply(sk_c6,sk_c9) = sk_c12
    | multiply(identity,sk_c12) = sk_c10 ),
    inference(demodulation,[status(thm)],[c_53,c_18791]) ).

cnf(c_19033,plain,
    ( multiply(sk_c2,identity) = sk_c10
    | inverse(sk_c5) = identity ),
    inference(demodulation,[status(thm)],[c_82,c_18791]) ).

cnf(c_19046,plain,
    ( multiply(identity,sk_c12) = sk_c10
    | inverse(sk_c6) = sk_c9 ),
    inference(demodulation,[status(thm)],[c_54,c_18791]) ).

cnf(c_19297,plain,
    ( sk_c10 = identity
    | sk_c2 = identity ),
    inference(light_normalisation,[status(thm)],[c_18942,c_3083]) ).

cnf(c_20308,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
    inference(superposition,[status(thm)],[c_3636,c_2675]) ).

cnf(c_20352,plain,
    multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
    inference(light_normalisation,[status(thm)],[c_20308,c_3075]) ).

cnf(c_20687,plain,
    ( multiply(sk_c11,sk_c12) != multiply(sk_c6,sk_c9)
    | X0 != multiply(sk_c6,sk_c9)
    | multiply(sk_c11,sk_c12) = X0 ),
    inference(instantiation,[status(thm)],[c_1885]) ).

cnf(c_20689,plain,
    ( multiply(sk_c11,sk_c12) != multiply(sk_c6,sk_c9)
    | sk_c11 != multiply(sk_c6,sk_c9)
    | multiply(sk_c11,sk_c12) = sk_c11 ),
    inference(instantiation,[status(thm)],[c_20687]) ).

cnf(c_21456,plain,
    ( inverse(sk_c3) = sk_c11
    | sk_c11 = identity ),
    inference(superposition,[status(thm)],[c_15268,c_109]) ).

cnf(c_21528,plain,
    sk_c11 = identity,
    inference(global_subsumption_just,[status(thm)],[c_21456,c_18791]) ).

cnf(c_21541,plain,
    ( inverse(sk_c3) = identity
    | inverse(identity) = sk_c5 ),
    inference(demodulation,[status(thm)],[c_14784,c_21528]) ).

cnf(c_21588,plain,
    ( multiply(identity,sk_c12) != sk_c10
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_760,c_21528]) ).

cnf(c_21592,plain,
    ( multiply(sk_c5,identity) = sk_c10
    | inverse(sk_c3) = identity ),
    inference(demodulation,[status(thm)],[c_111,c_21528]) ).

cnf(c_21663,plain,
    ( inverse(sk_c3) = identity
    | sk_c5 = identity ),
    inference(light_normalisation,[status(thm)],[c_21541,c_12319]) ).

cnf(c_22348,plain,
    ( inverse(sk_c5) = identity
    | sk_c10 = sk_c2 ),
    inference(demodulation,[status(thm)],[c_19033,c_3075]) ).

cnf(c_22357,plain,
    ( inverse(identity) = sk_c5
    | sk_c10 = sk_c2 ),
    inference(superposition,[status(thm)],[c_22348,c_3642]) ).

cnf(c_22360,plain,
    ( sk_c10 = sk_c2
    | sk_c5 = identity ),
    inference(light_normalisation,[status(thm)],[c_22357,c_3083]) ).

cnf(c_22825,plain,
    ( inverse(identity) = sk_c3
    | sk_c5 = identity ),
    inference(superposition,[status(thm)],[c_21663,c_14118]) ).

cnf(c_22828,plain,
    ( sk_c5 = identity
    | sk_c3 = identity ),
    inference(light_normalisation,[status(thm)],[c_22825,c_12319]) ).

cnf(c_23177,plain,
    ( inverse(sk_c6) = sk_c9
    | sk_c12 = sk_c10 ),
    inference(demodulation,[status(thm)],[c_19046,c_120]) ).

cnf(c_23187,plain,
    ( multiply(sk_c6,sk_c9) = identity
    | sk_c12 = sk_c10 ),
    inference(superposition,[status(thm)],[c_23177,c_3636]) ).

cnf(c_23188,plain,
    ( inverse(sk_c9) = sk_c6
    | sk_c12 = sk_c10 ),
    inference(superposition,[status(thm)],[c_23177,c_3642]) ).

cnf(c_24012,plain,
    ( sk_c10 = sk_c5
    | sk_c10 = sk_c2 ),
    inference(demodulation,[status(thm)],[c_19003,c_3075]) ).

cnf(c_24023,plain,
    ( sk_c10 = sk_c2
    | sk_c10 = identity ),
    inference(superposition,[status(thm)],[c_24012,c_22360]) ).

cnf(c_24285,plain,
    sk_c10 = identity,
    inference(superposition,[status(thm)],[c_24023,c_19297]) ).

cnf(c_24384,plain,
    ( multiply(sk_c6,sk_c9) = sk_c12
    | multiply(identity,sk_c12) = identity ),
    inference(light_normalisation,[status(thm)],[c_19013,c_24285]) ).

cnf(c_24385,plain,
    ( multiply(sk_c6,sk_c9) = sk_c12
    | sk_c12 = identity ),
    inference(demodulation,[status(thm)],[c_24384,c_120]) ).

cnf(c_24648,plain,
    ~ sP0_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_4976,c_103,c_767,c_1561,c_1903,c_1913,c_2423,c_2424,c_2844,c_2843,c_2878,c_4249,c_11128,c_11319,c_11976,c_12375,c_17582,c_18791,c_18799,c_20689,c_23187]) ).

cnf(c_27578,plain,
    ( sP1_iProver_split
    | multiply(identity,sk_c12) != sk_c10
    | sP3_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_21588,c_18800,c_24648]) ).

cnf(c_27579,plain,
    ( multiply(identity,sk_c12) != sk_c10
    | sP1_iProver_split
    | sP3_iProver_split ),
    inference(renaming,[status(thm)],[c_27578]) ).

cnf(c_27580,plain,
    ( sk_c12 != sk_c10
    | sP1_iProver_split
    | sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_27579,c_120]) ).

cnf(c_29407,plain,
    ( inverse(sk_c9) = sk_c6
    | sk_c12 = identity ),
    inference(light_normalisation,[status(thm)],[c_23188,c_24285]) ).

cnf(c_29422,plain,
    ( multiply(sk_c6,sk_c9) = identity
    | sk_c12 = identity ),
    inference(superposition,[status(thm)],[c_29407,c_121]) ).

cnf(c_29852,plain,
    ( inverse(sk_c3) = identity
    | sk_c10 = sk_c5 ),
    inference(demodulation,[status(thm)],[c_21592,c_12311]) ).

cnf(c_29860,plain,
    ( inverse(identity) = sk_c3
    | sk_c10 = sk_c5 ),
    inference(superposition,[status(thm)],[c_29852,c_14118]) ).

cnf(c_29863,plain,
    ( sk_c10 = sk_c5
    | sk_c3 = identity ),
    inference(light_normalisation,[status(thm)],[c_29860,c_12319]) ).

cnf(c_30018,plain,
    sk_c12 = identity,
    inference(superposition,[status(thm)],[c_29422,c_24385]) ).

cnf(c_33523,plain,
    ( sk_c10 = identity
    | sk_c3 = identity ),
    inference(superposition,[status(thm)],[c_29863,c_22828]) ).

cnf(c_34021,plain,
    sk_c10 = identity,
    inference(global_subsumption_just,[status(thm)],[c_33523,c_24285]) ).

cnf(c_34026,plain,
    ( sk_c12 != identity
    | sP1_iProver_split
    | sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_27580,c_34021]) ).

cnf(c_36086,plain,
    multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_2602,c_20352]) ).

cnf(c_37491,plain,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X0,inverse(X1)) != inverse(X0)
    | multiply(inverse(X1),sk_c11) != sk_c12 ),
    inference(global_subsumption_just,[status(thm)],[c_3688,c_3688,c_18853,c_30018,c_34026]) ).

cnf(c_37494,plain,
    ( inverse(multiply(X0,inverse(X1))) != inverse(X1)
    | multiply(X0,inverse(X1)) != inverse(X0)
    | multiply(inverse(X1),identity) != identity ),
    inference(light_normalisation,[status(thm)],[c_37491,c_18791,c_30018]) ).

cnf(c_37495,plain,
    ( multiply(X0,inverse(X1)) != inverse(X0)
    | multiply(X1,inverse(X0)) != inverse(X1)
    | inverse(X1) != identity ),
    inference(demodulation,[status(thm)],[c_37494,c_3075,c_3642,c_36086]) ).

cnf(c_37505,plain,
    ( multiply(X0,inverse(X0)) != inverse(X0)
    | inverse(X0) != identity ),
    inference(superposition,[status(thm)],[c_3636,c_37495]) ).

cnf(c_37605,plain,
    inverse(X0) != identity,
    inference(light_normalisation,[status(thm)],[c_37505,c_3636]) ).

cnf(c_37606,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_3083,c_37605]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP312-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 20:09:05 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.82/1.66  % SZS status Started for theBenchmark.p
% 7.82/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.82/1.66  
% 7.82/1.66  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.82/1.66  
% 7.82/1.66  ------  iProver source info
% 7.82/1.66  
% 7.82/1.66  git: date: 2023-05-31 18:12:56 +0000
% 7.82/1.66  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.82/1.66  git: non_committed_changes: false
% 7.82/1.66  git: last_make_outside_of_git: false
% 7.82/1.66  
% 7.82/1.66  ------ Parsing...successful
% 7.82/1.66  
% 7.82/1.66  
% 7.82/1.66  
% 7.82/1.66  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.82/1.66  
% 7.82/1.66  ------ Preprocessing... gs_s  sp: 6 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.82/1.66  
% 7.82/1.66  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.82/1.66  ------ Proving...
% 7.82/1.66  ------ Problem Properties 
% 7.82/1.66  
% 7.82/1.66  
% 7.82/1.66  clauses                                 78
% 7.82/1.66  conjectures                             75
% 7.82/1.66  EPR                                     0
% 7.82/1.66  Horn                                    7
% 7.82/1.66  unary                                   3
% 7.82/1.66  binary                                  70
% 7.82/1.66  lits                                    162
% 7.82/1.66  lits eq                                 154
% 7.82/1.66  fd_pure                                 0
% 7.82/1.66  fd_pseudo                               0
% 7.82/1.66  fd_cond                                 0
% 7.82/1.66  fd_pseudo_cond                          0
% 7.82/1.66  AC symbols                              0
% 7.82/1.66  
% 7.82/1.66  ------ Schedule dynamic 5 is on 
% 7.82/1.66  
% 7.82/1.66  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.82/1.66  
% 7.82/1.66  
% 7.82/1.66  ------ 
% 7.82/1.66  Current options:
% 7.82/1.66  ------ 
% 7.82/1.66  
% 7.82/1.66  
% 7.82/1.66  
% 7.82/1.66  
% 7.82/1.66  ------ Proving...
% 7.82/1.66  
% 7.82/1.66  
% 7.82/1.66  % SZS status Unsatisfiable for theBenchmark.p
% 7.82/1.66  
% 7.82/1.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.82/1.66  
% 7.82/1.66  
%------------------------------------------------------------------------------