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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GRP242-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n016.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 : Tue May  5 04:24:54 PM UTC 2026

% Result   : Unsatisfiable 183.65s 140.93s
% Output   : CNFRefutation 183.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :   70
% Syntax   : Number of clauses     :  327 (  62 unt; 248 nHn; 270 RR)
%            Number of literals    :  661 ( 660 equ;  79 neg)
%            Maximal clause size   :   16 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :  133 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this_61,negated_conjecture,
    ( multiply(X1,sk_c11) != sk_c10
    | inverse(X1) != sk_c11
    | multiply(X2,sk_c10) != sk_c9
    | inverse(X2) != sk_c10
    | multiply(X3,X4) != sk_c11
    | inverse(X3) != X4
    | multiply(X4,sk_c10) != sk_c11
    | inverse(X5) != X6
    | inverse(X6) != X4
    | multiply(X5,X4) != X6
    | multiply(sk_c10,sk_c9) != sk_c11
    | inverse(sk_c10) != sk_c9
    | multiply(X7,sk_c10) != sk_c11
    | inverse(X7) != sk_c10
    | multiply(X8,sk_c11) != sk_c9
    | inverse(X8) != sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).

cnf(associativity,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(prove_this_59,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).

cnf(prove_this_41,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).

cnf(prove_this_29,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(prove_this_17,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(prove_this_57,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).

cnf(prove_this_39,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

cnf(prove_this_27,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(prove_this_15,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(prove_this_55,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).

cnf(prove_this_37,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

cnf(prove_this_25,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(prove_this_13,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(prove_this_5,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(prove_this_3,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(prove_this_1,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(left_inverse,axiom,
    multiply(inverse(X1),X1) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(prove_this_53,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).

cnf(prove_this_51,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).

cnf(prove_this_49,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).

cnf(prove_this_47,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).

cnf(prove_this_45,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

cnf(prove_this_43,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

cnf(prove_this_35,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

cnf(prove_this_33,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

cnf(prove_this_31,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(prove_this_23,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

cnf(prove_this_21,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(prove_this_19,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(prove_this_60,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_60) ).

cnf(prove_this_42,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).

cnf(prove_this_30,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(prove_this_18,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(prove_this_6,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(prove_this_58,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).

cnf(prove_this_40,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).

cnf(prove_this_28,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(prove_this_16,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(prove_this_4,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(prove_this_56,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).

cnf(prove_this_38,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).

cnf(prove_this_26,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(prove_this_14,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(prove_this_2,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(prove_this_11,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(prove_this_9,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(prove_this_7,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(left_identity,axiom,
    multiply(identity,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(prove_this_54,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).

cnf(prove_this_48,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).

cnf(prove_this_36,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

cnf(prove_this_24,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(prove_this_52,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).

cnf(prove_this_46,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).

cnf(prove_this_34,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

cnf(prove_this_22,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(prove_this_50,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).

cnf(prove_this_44,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

cnf(prove_this_32,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

cnf(prove_this_20,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(prove_this_12,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c8) = sk_c11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(prove_this_10,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c7) = sk_c10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(prove_this_8,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(i_0_64,negated_conjecture,
    ( multiply(X1,sk_c11) != sk_c10
    | inverse(X1) != sk_c11
    | multiply(X2,sk_c10) != sk_c9
    | inverse(X2) != sk_c10
    | multiply(X3,X4) != sk_c11
    | inverse(X3) != X4
    | multiply(X4,sk_c10) != sk_c11
    | inverse(X5) != X6
    | inverse(X6) != X4
    | multiply(X5,X4) != X6
    | multiply(sk_c10,sk_c9) != sk_c11
    | inverse(sk_c10) != sk_c9
    | multiply(X7,sk_c10) != sk_c11
    | inverse(X7) != sk_c10
    | multiply(X8,sk_c11) != sk_c9
    | inverse(X8) != sk_c11 ),
    prove_this_61,
    [final] ).

cnf(i_0_65,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity,
    [final] ).

cnf(i_0_66,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_59,
    [final] ).

cnf(i_0_67,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_41,
    [final] ).

cnf(i_0_68,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_29,
    [final] ).

cnf(i_0_69,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_17,
    [final] ).

cnf(i_0_70,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_57,
    [final] ).

cnf(i_0_71,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_39,
    [final] ).

cnf(i_0_72,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_27,
    [final] ).

cnf(i_0_73,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_15,
    [final] ).

cnf(i_0_74,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_55,
    [final] ).

cnf(i_0_75,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_37,
    [final] ).

cnf(i_0_76,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_25,
    [final] ).

cnf(i_0_77,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_13,
    [final] ).

cnf(i_0_78,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_5,
    [final] ).

cnf(i_0_79,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_3,
    [final] ).

cnf(i_0_80,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_1,
    [final] ).

cnf(i_0_81,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse,
    [final] ).

cnf(i_0_82,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_53,
    [final] ).

cnf(i_0_83,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_51,
    [final] ).

cnf(i_0_84,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_49,
    [final] ).

cnf(i_0_85,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_47,
    [final] ).

cnf(i_0_86,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_45,
    [final] ).

cnf(i_0_87,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_43,
    [final] ).

cnf(i_0_88,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_35,
    [final] ).

cnf(i_0_89,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_33,
    [final] ).

cnf(i_0_90,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_31,
    [final] ).

cnf(i_0_91,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_23,
    [final] ).

cnf(i_0_92,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_21,
    [final] ).

cnf(i_0_93,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_19,
    [final] ).

cnf(i_0_94,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | inverse(sk_c8) = sk_c11 ),
    prove_this_60,
    [final] ).

cnf(i_0_95,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | inverse(sk_c8) = sk_c11 ),
    prove_this_42,
    [final] ).

cnf(i_0_96,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | inverse(sk_c8) = sk_c11 ),
    prove_this_30,
    [final] ).

cnf(i_0_97,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | inverse(sk_c8) = sk_c11 ),
    prove_this_18,
    [final] ).

cnf(i_0_98,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c8) = sk_c11 ),
    prove_this_6,
    [final] ).

cnf(i_0_99,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | inverse(sk_c7) = sk_c10 ),
    prove_this_58,
    [final] ).

cnf(i_0_100,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | inverse(sk_c7) = sk_c10 ),
    prove_this_40,
    [final] ).

cnf(i_0_101,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | inverse(sk_c7) = sk_c10 ),
    prove_this_28,
    [final] ).

cnf(i_0_102,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | inverse(sk_c7) = sk_c10 ),
    prove_this_16,
    [final] ).

cnf(i_0_103,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c7) = sk_c10 ),
    prove_this_4,
    [final] ).

cnf(i_0_104,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | inverse(sk_c10) = sk_c9 ),
    prove_this_56,
    [final] ).

cnf(i_0_105,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | inverse(sk_c10) = sk_c9 ),
    prove_this_38,
    [final] ).

cnf(i_0_106,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | inverse(sk_c10) = sk_c9 ),
    prove_this_26,
    [final] ).

cnf(i_0_107,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | inverse(sk_c10) = sk_c9 ),
    prove_this_14,
    [final] ).

cnf(i_0_108,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c10) = sk_c9 ),
    prove_this_2,
    [final] ).

cnf(i_0_109,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    prove_this_11,
    [final] ).

cnf(i_0_110,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    prove_this_9,
    [final] ).

cnf(i_0_111,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    prove_this_7,
    [final] ).

cnf(i_0_112,axiom,
    multiply(identity,X1) = X1,
    left_identity,
    [final] ).

cnf(i_0_113,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c8) = sk_c11 ),
    prove_this_54,
    [final] ).

cnf(i_0_114,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | inverse(sk_c8) = sk_c11 ),
    prove_this_48,
    [final] ).

cnf(i_0_115,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | inverse(sk_c8) = sk_c11 ),
    prove_this_36,
    [final] ).

cnf(i_0_116,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | inverse(sk_c8) = sk_c11 ),
    prove_this_24,
    [final] ).

cnf(i_0_117,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c7) = sk_c10 ),
    prove_this_52,
    [final] ).

cnf(i_0_118,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | inverse(sk_c7) = sk_c10 ),
    prove_this_46,
    [final] ).

cnf(i_0_119,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | inverse(sk_c7) = sk_c10 ),
    prove_this_34,
    [final] ).

cnf(i_0_120,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | inverse(sk_c7) = sk_c10 ),
    prove_this_22,
    [final] ).

cnf(i_0_121,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c10) = sk_c9 ),
    prove_this_50,
    [final] ).

cnf(i_0_122,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | inverse(sk_c10) = sk_c9 ),
    prove_this_44,
    [final] ).

cnf(i_0_123,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | inverse(sk_c10) = sk_c9 ),
    prove_this_32,
    [final] ).

cnf(i_0_124,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | inverse(sk_c10) = sk_c9 ),
    prove_this_20,
    [final] ).

cnf(i_0_125,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c8) = sk_c11 ),
    prove_this_12,
    [final] ).

cnf(i_0_126,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c7) = sk_c10 ),
    prove_this_10,
    [final] ).

cnf(i_0_127,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c10) = sk_c9 ),
    prove_this_8,
    [final] ).

cnf(i_0_128,axiom,
    X1 = X1 ).

cnf(i_0_129,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_130,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_131,axiom,
    ( X1 != X2
    | multiply(X1,X3) = multiply(X2,X3) ) ).

cnf(i_0_132,axiom,
    ( X1 != X2
    | multiply(X3,X1) = multiply(X3,X2) ) ).

cnf(i_0_133,axiom,
    ( X1 != X2
    | inverse(X1) = inverse(X2) ) ).

cnf(i_0_134,plain,
    multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
    inference(scs_inference,[],[i_0_65,i_0_129]) ).

cnf(i_0_135,plain,
    multiply(multiply(identity,X1),X2) = multiply(X1,X2),
    inference(scs_inference,[],[i_0_65,i_0_112,i_0_129,i_0_130]) ).

cnf(i_0_136,plain,
    multiply(identity,X1) = X1,
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_137,plain,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_141,plain,
    identity = multiply(inverse(X1),X1),
    inference(scs_inference,[],[i_0_81,i_0_129]) ).

cnf(i_0_142,plain,
    X1 = multiply(identity,X1),
    inference(scs_inference,[],[i_0_112,i_0_129]) ).

cnf(i_0_144,plain,
    multiply(identity,X1) = X1,
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_148,plain,
    multiply(identity,X1) = X1,
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_151,plain,
    multiply(identity,X1) = X1,
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_154,plain,
    multiply(identity,X1) = X1,
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_156,plain,
    multiply(identity,multiply(inverse(X1),X1)) = identity,
    inference(scs_inference,[],[i_0_112,i_0_81,i_0_130]) ).

cnf(i_0_157,plain,
    multiply(identity,X1) = X1,
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_158,plain,
    identity = multiply(identity,multiply(inverse(X1),X1)),
    inference(scs_inference,[],[i_0_112,i_0_81,i_0_130,i_0_129]) ).

cnf(i_0_176,plain,
    multiply(inverse(X1),X1) = identity,
    inference(rename_variables,[],[i_0_81]) ).

cnf(i_0_180,plain,
    multiply(identity,X1) = X1,
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_200,plain,
    multiply(identity,X1) = X1,
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_290,plain,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_308,plain,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    inference(rename_variables,[],[i_0_65]) ).

cnf(i_0_362,plain,
    multiply(X1,multiply(inverse(X2),X2)) = multiply(X1,identity),
    inference(scs_inference,[],[i_0_81,i_0_132]) ).

cnf(i_0_363,plain,
    inverse(multiply(inverse(X1),X1)) = inverse(identity),
    inference(scs_inference,[],[i_0_81,i_0_132,i_0_133]) ).

cnf(i_0_367,plain,
    multiply(X1,multiply(identity,X2)) = multiply(X1,X2),
    inference(scs_inference,[],[i_0_112,i_0_132]) ).

cnf(i_0_368,plain,
    inverse(multiply(identity,X1)) = inverse(X1),
    inference(scs_inference,[],[i_0_112,i_0_132,i_0_133]) ).

cnf(i_0_369,plain,
    multiply(multiply(X1,multiply(identity,X2)),X3) = multiply(multiply(X1,X2),X3),
    inference(scs_inference,[],[i_0_112,i_0_132,i_0_133,i_0_131]) ).

cnf(i_0_138,plain,
    multiply(X1,X2) = multiply(multiply(identity,X1),X2),
    inference(scs_inference,[],[i_0_135,i_0_129]) ).

cnf(i_0_139,plain,
    multiply(multiply(X1,X2),X3) = multiply(multiply(identity,X1),multiply(X2,X3)),
    inference(scs_inference,[],[i_0_65,i_0_135,i_0_129,i_0_130]) ).

cnf(i_0_143,plain,
    multiply(identity,identity) = multiply(inverse(X1),X1),
    inference(scs_inference,[],[i_0_141,i_0_112,i_0_129,i_0_130]) ).

cnf(i_0_150,plain,
    multiply(identity,multiply(multiply(identity,X1),X2)) = multiply(X1,X2),
    inference(scs_inference,[],[i_0_112,i_0_135,i_0_130]) ).

cnf(i_0_152,plain,
    multiply(X1,X2) = multiply(identity,multiply(multiply(identity,X1),X2)),
    inference(scs_inference,[],[i_0_112,i_0_135,i_0_130,i_0_129]) ).

cnf(i_0_160,plain,
    multiply(multiply(identity,X1),X2) = multiply(X1,X2),
    inference(rename_variables,[],[i_0_135]) ).

cnf(i_0_163,plain,
    multiply(multiply(identity,X1),X2) = multiply(X1,X2),
    inference(rename_variables,[],[i_0_135]) ).

cnf(i_0_166,plain,
    multiply(multiply(identity,X1),X2) = multiply(X1,X2),
    inference(rename_variables,[],[i_0_135]) ).

cnf(i_0_170,plain,
    multiply(multiply(identity,X1),X2) = multiply(X1,X2),
    inference(rename_variables,[],[i_0_135]) ).

cnf(i_0_173,plain,
    multiply(multiply(identity,X1),X2) = multiply(X1,X2),
    inference(rename_variables,[],[i_0_135]) ).

cnf(i_0_175,plain,
    multiply(multiply(identity,inverse(X1)),X1) = identity,
    inference(scs_inference,[],[i_0_135,i_0_81,i_0_130]) ).

cnf(i_0_177,plain,
    multiply(multiply(identity,X1),X2) = multiply(X1,X2),
    inference(rename_variables,[],[i_0_135]) ).

cnf(i_0_178,plain,
    identity = multiply(multiply(identity,inverse(X1)),X1),
    inference(scs_inference,[],[i_0_135,i_0_81,i_0_130,i_0_129]) ).

cnf(c_0_177,plain,
    multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
    i_0_134 ).

cnf(c_0_178,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c4
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    i_0_74 ).

cnf(c_0_179,plain,
    identity = multiply(inverse(X1),X1),
    i_0_141 ).

cnf(c_0_180,plain,
    X1 = multiply(identity,X1),
    i_0_142 ).

cnf(c_0_181,plain,
    ( multiply(sk_c5,multiply(sk_c6,X1)) = multiply(sk_c4,X1)
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_182,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    i_0_75 ).

cnf(c_0_183,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_179]),c_0_180]) ).

cnf(c_0_184,negated_conjecture,
    ( multiply(sk_c5,sk_c11) = multiply(sk_c4,sk_c10)
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_185,plain,
    ( multiply(inverse(sk_c5),multiply(sk_c4,sk_c10)) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_186,negated_conjecture,
    ( inverse(sk_c5) = sk_c4
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    i_0_87 ).

cnf(c_0_187,negated_conjecture,
    ( multiply(sk_c4,multiply(sk_c4,sk_c10)) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_188,plain,
    ( multiply(inverse(sk_c4),sk_c11) = multiply(sk_c4,sk_c10)
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_187]) ).

cnf(c_0_189,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    i_0_84 ).

cnf(c_0_190,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    i_0_76 ).

cnf(c_0_191,negated_conjecture,
    ( multiply(sk_c4,sk_c10) = multiply(sk_c6,sk_c11)
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_192,negated_conjecture,
    ( multiply(inverse(sk_c3),sk_c11) = sk_c6
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_190]) ).

cnf(c_0_193,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    i_0_90 ).

cnf(c_0_194,negated_conjecture,
    ( multiply(sk_c4,multiply(sk_c6,sk_c11)) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_187,c_0_191]) ).

cnf(c_0_195,negated_conjecture,
    ( multiply(sk_c10,sk_c9) = sk_c11
    | multiply(sk_c6,sk_c11) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_196,negated_conjecture,
    ( multiply(sk_c10,sk_c9) = sk_c11
    | multiply(sk_c4,sk_c6) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_197,negated_conjecture,
    ( multiply(inverse(sk_c5),sk_c4) = sk_c6
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_178]) ).

cnf(c_0_198,plain,
    ( multiply(inverse(sk_c4),sk_c11) = sk_c6
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_196]) ).

cnf(c_0_199,plain,
    multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
    inference(spm,[status(thm)],[c_0_183,c_0_183]) ).

cnf(c_0_200,negated_conjecture,
    ( multiply(sk_c10,sk_c9) = sk_c11
    | multiply(sk_c4,sk_c4) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_197,c_0_186]) ).

cnf(c_0_201,plain,
    ( multiply(sk_c10,sk_c9) = sk_c11
    | multiply(sk_c4,sk_c10) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_188,c_0_198]) ).

cnf(c_0_202,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_179]),c_0_199]) ).

cnf(c_0_203,plain,
    ( multiply(inverse(sk_c4),sk_c6) = sk_c4
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_200]) ).

cnf(c_0_204,plain,
    ( multiply(inverse(sk_c4),sk_c6) = sk_c10
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_201]) ).

cnf(c_0_205,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_202]),c_0_202]) ).

cnf(c_0_206,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | inverse(sk_c7) = sk_c10 ),
    i_0_100 ).

cnf(c_0_207,plain,
    ( multiply(sk_c10,sk_c9) = sk_c11
    | sk_c4 = sk_c10 ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_208,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | inverse(sk_c10) = sk_c9 ),
    i_0_105 ).

cnf(c_0_209,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | inverse(sk_c10) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_210,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | inverse(sk_c7) = sk_c10 ),
    i_0_119 ).

cnf(c_0_211,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c7) = sk_c10 ),
    i_0_117 ).

cnf(c_0_212,plain,
    ( multiply(inverse(sk_c10),sk_c11) = sk_c9
    | sk_c4 = sk_c10 ),
    inference(spm,[status(thm)],[c_0_183,c_0_207]) ).

cnf(c_0_213,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | inverse(sk_c10) = sk_c9 ),
    i_0_106 ).

cnf(c_0_214,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_215,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | inverse(sk_c10) = sk_c9 ),
    i_0_123 ).

cnf(c_0_216,negated_conjecture,
    ( inverse(sk_c7) = sk_c10
    | inverse(sk_c6) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_205,c_0_210]) ).

cnf(c_0_217,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c10) = sk_c9 ),
    i_0_121 ).

cnf(c_0_218,negated_conjecture,
    ( inverse(sk_c7) = sk_c10
    | inverse(sk_c6) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_205,c_0_211]) ).

cnf(c_0_219,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | multiply(sk_c9,sk_c11) = sk_c9
    | sk_c4 = sk_c10 ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_220,plain,
    ( multiply(inverse(sk_c6),sk_c11) = sk_c10
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_183,c_0_214]) ).

cnf(c_0_221,negated_conjecture,
    ( inverse(sk_c10) = sk_c9
    | inverse(sk_c6) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_205,c_0_215]) ).

cnf(c_0_222,plain,
    ( inverse(sk_c6) = sk_c3
    | inverse(sk_c10) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_205,c_0_216]) ).

cnf(c_0_223,negated_conjecture,
    ( inverse(sk_c10) = sk_c9
    | inverse(sk_c6) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_205,c_0_217]) ).

cnf(c_0_224,plain,
    ( inverse(sk_c6) = sk_c4
    | inverse(sk_c10) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_205,c_0_218]) ).

cnf(c_0_225,plain,
    ( multiply(inverse(sk_c3),sk_c11) = sk_c6
    | multiply(sk_c9,sk_c11) = sk_c9
    | sk_c4 = sk_c10 ),
    inference(spm,[status(thm)],[c_0_183,c_0_219]) ).

cnf(c_0_226,negated_conjecture,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | inverse(sk_c10) = sk_c9
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_227,plain,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | inverse(sk_c10) = sk_c7
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_220,c_0_222]) ).

cnf(c_0_228,negated_conjecture,
    ( inverse(sk_c10) = sk_c9
    | sk_c3 = sk_c4 ),
    inference(spm,[status(thm)],[c_0_221,c_0_223]) ).

cnf(c_0_229,plain,
    ( inverse(sk_c10) = sk_c7
    | sk_c3 = sk_c4 ),
    inference(spm,[status(thm)],[c_0_222,c_0_224]) ).

cnf(c_0_230,negated_conjecture,
    ( multiply(sk_c9,sk_c11) = sk_c9
    | multiply(sk_c6,sk_c11) = sk_c6
    | inverse(sk_c10) = sk_c9
    | sk_c4 = sk_c10 ),
    inference(spm,[status(thm)],[c_0_225,c_0_215]) ).

cnf(c_0_231,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    i_0_72 ).

cnf(c_0_232,negated_conjecture,
    ( multiply(sk_c3,sk_c11) = sk_c10
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_233,negated_conjecture,
    ( sk_c3 = sk_c4
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_234,plain,
    ( multiply(sk_c6,sk_c11) = sk_c6
    | multiply(sk_c9,sk_c11) = sk_c9
    | sk_c4 = sk_c10 ),
    inference(spm,[status(thm)],[c_0_212,c_0_230]) ).

cnf(c_0_235,negated_conjecture,
    ( multiply(inverse(sk_c3),sk_c11) = sk_c6
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_231]) ).

cnf(c_0_236,negated_conjecture,
    ( multiply(sk_c4,sk_c11) = sk_c10
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_237,plain,
    ( multiply(sk_c9,sk_c11) = sk_c9
    | sk_c4 = sk_c10
    | identity = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_234]),c_0_179]) ).

cnf(c_0_238,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | inverse(sk_c10) = sk_c9 ),
    i_0_124 ).

cnf(c_0_239,plain,
    ( multiply(inverse(inverse(sk_c3)),sk_c6) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_235]) ).

cnf(c_0_240,negated_conjecture,
    ( inverse(sk_c3) = sk_c6
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    i_0_89 ).

cnf(c_0_241,plain,
    ( multiply(inverse(sk_c4),sk_c10) = sk_c11
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_183,c_0_236]) ).

cnf(c_0_242,plain,
    ( sk_c4 = sk_c10
    | identity = sk_c11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_237]),c_0_179])]) ).

cnf(c_0_243,negated_conjecture,
    ( multiply(sk_c10,sk_c2) = identity
    | inverse(sk_c10) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_179,c_0_238]) ).

cnf(c_0_244,negated_conjecture,
    ( multiply(sk_c7,sk_c10) = sk_c11
    | identity = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_179]) ).

cnf(c_0_245,plain,
    ( sk_c7 = sk_c9
    | identity = sk_c11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_179])]) ).

cnf(c_0_246,negated_conjecture,
    ( inverse(sk_c10) = sk_c9
    | inverse(sk_c10) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_205,c_0_238]) ).

cnf(c_0_247,plain,
    ( multiply(sk_c10,sk_c2) = identity
    | multiply(sk_c9,sk_c10) = identity ),
    inference(spm,[status(thm)],[c_0_179,c_0_243]) ).

cnf(c_0_248,negated_conjecture,
    ( multiply(sk_c9,sk_c10) = sk_c11
    | identity = sk_c11 ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_249,negated_conjecture,
    ( inverse(sk_c10) = sk_c9
    | sk_c2 != sk_c9 ),
    inference(ef,[status(thm)],[c_0_246]) ).

cnf(c_0_250,plain,
    ( multiply(sk_c10,sk_c2) = identity
    | identity = sk_c11 ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_251,plain,
    ( inverse(sk_c9) = sk_c10
    | sk_c2 != sk_c9 ),
    inference(spm,[status(thm)],[c_0_205,c_0_249]) ).

cnf(c_0_252,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    i_0_71 ).

cnf(c_0_253,plain,
    ( inverse(sk_c10) = sk_c2
    | identity = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_250]),c_0_202]) ).

cnf(c_0_254,negated_conjecture,
    ( inverse(sk_c10) = sk_c6
    | inverse(sk_c10) = sk_c9
    | identity = sk_c11 ),
    inference(spm,[status(thm)],[c_0_217,c_0_242]) ).

cnf(c_0_255,plain,
    ( multiply(sk_c10,sk_c9) = sk_c11
    | identity = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_195]),c_0_179]) ).

cnf(c_0_256,plain,
    ( multiply(sk_c10,sk_c9) = identity
    | sk_c2 != sk_c9 ),
    inference(spm,[status(thm)],[c_0_179,c_0_251]) ).

cnf(c_0_257,negated_conjecture,
    ( multiply(inverse(sk_c7),sk_c11) = sk_c10
    | multiply(sk_c6,sk_c10) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_252]) ).

cnf(c_0_258,plain,
    ( inverse(sk_c10) = sk_c9
    | identity = sk_c11
    | sk_c2 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_259,plain,
    ( identity = sk_c11
    | sk_c2 != sk_c9 ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_260,negated_conjecture,
    ( multiply(sk_c6,sk_c10) = sk_c11
    | multiply(sk_c10,sk_c11) = sk_c10 ),
    inference(spm,[status(thm)],[c_0_257,c_0_206]) ).

cnf(c_0_261,plain,
    ( inverse(sk_c2) = sk_c10
    | identity = sk_c11 ),
    inference(spm,[status(thm)],[c_0_205,c_0_253]) ).

cnf(c_0_262,plain,
    ( sk_c2 = sk_c6
    | identity = sk_c11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_258]),c_0_259]) ).

cnf(c_0_263,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c8) = sk_c11 ),
    i_0_125 ).

cnf(c_0_264,plain,
    ( multiply(inverse(sk_c6),sk_c11) = sk_c10
    | multiply(sk_c10,sk_c11) = sk_c10 ),
    inference(spm,[status(thm)],[c_0_183,c_0_260]) ).

cnf(c_0_265,plain,
    ( inverse(sk_c6) = sk_c10
    | identity = sk_c11 ),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

cnf(c_0_266,negated_conjecture,
    ( inverse(sk_c8) = sk_c11
    | inverse(sk_c11) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_205,c_0_263]) ).

cnf(c_0_267,plain,
    multiply(inverse(identity),X1) = X1,
    inference(spm,[status(thm)],[c_0_183,c_0_180]) ).

cnf(c_0_268,plain,
    ( multiply(sk_c10,sk_c11) = sk_c10
    | identity = sk_c11 ),
    inference(spm,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_269,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c7) = sk_c10 ),
    i_0_103 ).

cnf(c_0_270,plain,
    ( inverse(sk_c11) = sk_c1
    | inverse(sk_c11) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_205,c_0_266]) ).

cnf(c_0_271,plain,
    inverse(identity) = identity,
    inference(spm,[status(thm)],[c_0_267,c_0_202]) ).

cnf(c_0_272,plain,
    identity = sk_c11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_268]),c_0_179])]) ).

cnf(c_0_273,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c7) = sk_c10 ),
    i_0_126 ).

cnf(c_0_274,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c10) = sk_c9 ),
    i_0_108 ).

cnf(c_0_275,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c10) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_205,c_0_269]) ).

cnf(c_0_276,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c8) = sk_c11 ),
    i_0_98 ).

cnf(c_0_277,plain,
    ( inverse(sk_c11) = sk_c8
    | inverse(sk_c1) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_205,c_0_270]) ).

cnf(c_0_278,plain,
    inverse(sk_c11) = sk_c11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_272]),c_0_272]) ).

cnf(c_0_279,negated_conjecture,
    ( inverse(sk_c7) = sk_c10
    | inverse(sk_c11) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_205,c_0_273]) ).

cnf(c_0_280,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | inverse(sk_c7) = sk_c10 ),
    i_0_120 ).

cnf(c_0_281,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_282,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    i_0_78 ).

cnf(c_0_283,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c11) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_205,c_0_276]) ).

cnf(c_0_284,plain,
    ( inverse(sk_c1) = sk_c11
    | sk_c8 = sk_c11 ),
    inference(rw,[status(thm)],[c_0_277,c_0_278]) ).

cnf(c_0_285,plain,
    ( inverse(sk_c11) = sk_c1
    | inverse(sk_c10) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_205,c_0_279]) ).

cnf(c_0_286,negated_conjecture,
    ( inverse(sk_c7) = sk_c10
    | inverse(sk_c10) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_205,c_0_280]) ).

cnf(c_0_287,plain,
    ( multiply(inverse(sk_c1),sk_c10) = sk_c11
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_183,c_0_281]) ).

cnf(c_0_288,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c10) = sk_c9 ),
    i_0_127 ).

cnf(c_0_289,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c10) = sk_c11
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_183,c_0_282]) ).

cnf(c_0_290,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | sk_c8 = sk_c11 ),
    inference(spm,[status(thm)],[c_0_283,c_0_278]) ).

cnf(c_0_291,plain,
    ( sk_c8 = sk_c11
    | sk_c1 = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_284]),c_0_278]) ).

cnf(c_0_292,negated_conjecture,
    ( multiply(sk_c2,sk_c10) = sk_c9
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    i_0_77 ).

cnf(c_0_293,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    i_0_79 ).

cnf(c_0_294,plain,
    ( inverse(sk_c10) = sk_c7
    | inverse(sk_c1) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_205,c_0_285]) ).

cnf(c_0_295,plain,
    ( inverse(sk_c10) = sk_c2
    | inverse(sk_c10) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_205,c_0_286]) ).

cnf(c_0_296,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c11
    | inverse(sk_c10) = sk_c9
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_297,plain,
    ( multiply(inverse(inverse(sk_c1)),sk_c11) = sk_c10
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_183,c_0_289]) ).

cnf(c_0_298,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c8,sk_c11) = sk_c9 ),
    i_0_109 ).

cnf(c_0_299,plain,
    ( multiply(sk_c11,sk_c11) = sk_c10
    | sk_c8 = sk_c11 ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_300,negated_conjecture,
    ( multiply(inverse(sk_c2),sk_c9) = sk_c10
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_292]) ).

cnf(c_0_301,negated_conjecture,
    ( inverse(sk_c2) = sk_c10
    | multiply(sk_c10,sk_c9) = sk_c11 ),
    i_0_93 ).

cnf(c_0_302,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c10) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_293]) ).

cnf(c_0_303,plain,
    ( multiply(sk_c11,sk_c10) = sk_c11
    | inverse(sk_c10) = sk_c7
    | sk_c7 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_287,c_0_294]) ).

cnf(c_0_304,plain,
    ( multiply(sk_c11,sk_c10) = sk_c11
    | sk_c7 = sk_c9
    | sk_c2 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_295,c_0_296]) ).

cnf(c_0_305,negated_conjecture,
    ( multiply(sk_c8,sk_c11) = sk_c9
    | identity = sk_c10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_179]) ).

cnf(c_0_306,plain,
    ( multiply(sk_c11,sk_c10) = sk_c11
    | sk_c8 = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_299]),c_0_278]) ).

cnf(c_0_307,negated_conjecture,
    ( multiply(sk_c10,sk_c9) = sk_c11
    | multiply(sk_c10,sk_c9) = sk_c10 ),
    inference(spm,[status(thm)],[c_0_300,c_0_301]) ).

cnf(c_0_308,plain,
    ( multiply(inverse(inverse(sk_c1)),sk_c11) = sk_c10
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_183,c_0_302]) ).

cnf(c_0_309,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | multiply(sk_c7,sk_c10) = sk_c11 ),
    i_0_110 ).

cnf(c_0_310,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c11
    | sk_c7 = sk_c9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_303]),c_0_304]) ).

cnf(c_0_311,negated_conjecture,
    ( multiply(sk_c8,sk_c11) = sk_c9
    | sk_c11 = sk_c10 ),
    inference(rw,[status(thm)],[c_0_305,c_0_272]) ).

cnf(c_0_312,plain,
    ( sk_c8 = sk_c11
    | sk_c11 = sk_c10 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_306]),c_0_179]),c_0_272]) ).

cnf(c_0_313,negated_conjecture,
    ( multiply(sk_c10,sk_c9) = sk_c10
    | sk_c11 != sk_c10 ),
    inference(ef,[status(thm)],[c_0_307]) ).

cnf(c_0_314,negated_conjecture,
    ( multiply(sk_c7,sk_c10) = sk_c11
    | identity = sk_c10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_179]) ).

cnf(c_0_315,plain,
    ( sk_c7 = sk_c9
    | identity = sk_c10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_310]),c_0_179]) ).

cnf(c_0_316,negated_conjecture,
    ( multiply(sk_c11,sk_c11) = sk_c9
    | sk_c11 = sk_c10 ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_317,plain,
    ( sk_c9 = identity
    | sk_c11 != sk_c10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_313]),c_0_179]) ).

cnf(c_0_318,negated_conjecture,
    ( multiply(sk_c9,sk_c10) = sk_c11
    | identity = sk_c10 ),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_319,plain,
    ( multiply(sk_c11,sk_c9) = sk_c11
    | sk_c11 = sk_c10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_316]),c_0_278]) ).

cnf(c_0_320,plain,
    ( sk_c9 = sk_c11
    | sk_c11 != sk_c10 ),
    inference(rw,[status(thm)],[c_0_317,c_0_272]) ).

cnf(c_0_321,negated_conjecture,
    ( multiply(sk_c9,sk_c10) = sk_c11
    | sk_c11 = sk_c10 ),
    inference(rw,[status(thm)],[c_0_318,c_0_272]) ).

cnf(c_0_322,plain,
    sk_c9 = sk_c11,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_319]),c_0_179]),c_0_272]),c_0_320]) ).

cnf(c_0_323,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c11
    | sk_c11 = sk_c10 ),
    inference(rw,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_324,plain,
    sk_c11 = sk_c10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_323]),c_0_179]),c_0_272])]) ).

cnf(c_0_325,negated_conjecture,
    ( multiply(X1,sk_c11) != sk_c10
    | inverse(X1) != sk_c11
    | multiply(X2,sk_c10) != sk_c9
    | inverse(X2) != sk_c10
    | multiply(X3,X4) != sk_c11
    | inverse(X3) != X4
    | multiply(X4,sk_c10) != sk_c11
    | inverse(X5) != X6
    | inverse(X6) != X4
    | multiply(X5,X4) != X6
    | multiply(sk_c10,sk_c9) != sk_c11
    | inverse(sk_c10) != sk_c9
    | multiply(X7,sk_c10) != sk_c11
    | inverse(X7) != sk_c10
    | multiply(X8,sk_c11) != sk_c9
    | inverse(X8) != sk_c11 ),
    i_0_64 ).

cnf(c_0_326,plain,
    multiply(inverse(X1),X1) = sk_c10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_272]),c_0_324]) ).

cnf(c_0_327,negated_conjecture,
    ( inverse(multiply(X1,inverse(X2))) != inverse(X2)
    | multiply(inverse(X2),sk_c10) != sk_c11
    | multiply(X1,inverse(X2)) != inverse(X1)
    | multiply(sk_c10,sk_c9) != sk_c11
    | multiply(X2,inverse(X2)) != sk_c11
    | multiply(X3,sk_c11) != sk_c9
    | multiply(X4,sk_c10) != sk_c11
    | multiply(X5,sk_c10) != sk_c9
    | multiply(X6,sk_c11) != sk_c10
    | inverse(sk_c10) != sk_c9
    | inverse(X3) != sk_c11
    | inverse(X4) != sk_c10
    | inverse(X5) != sk_c10
    | inverse(X6) != sk_c11 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_325])]) ).

cnf(c_0_328,plain,
    multiply(X1,sk_c10) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_272]),c_0_324]) ).

cnf(c_0_329,plain,
    multiply(X1,inverse(X1)) = sk_c10,
    inference(spm,[status(thm)],[c_0_326,c_0_205]) ).

cnf(c_0_330,plain,
    inverse(sk_c10) = sk_c10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_324]),c_0_324]) ).

cnf(c_0_331,negated_conjecture,
    ( inverse(multiply(X1,inverse(X2))) != inverse(X2)
    | multiply(X1,inverse(X2)) != inverse(X1)
    | inverse(X2) != sk_c10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_327,c_0_322]),c_0_322]),c_0_322]),c_0_322]),c_0_328]),c_0_324]),c_0_324]),c_0_328]),c_0_324]),c_0_329]),c_0_324]),c_0_324]),c_0_328]),c_0_324]),c_0_328]),c_0_324]),c_0_328]),c_0_324]),c_0_324]),c_0_328]),c_0_330]),c_0_324]),c_0_324]),c_0_324])])])])])]),c_0_330])]) ).

cnf(c_0_332,plain,
    inverse(X1) != sk_c10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_326]),c_0_330]),c_0_205])]) ).

cnf(c_0_333,plain,
    $false,
    inference(sr,[status(thm)],[c_0_330,c_0_332]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP242-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n016.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Mon May  4 18:30:36 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 183.65/140.93  % Version  : CSE_E---1.7
% 183.65/140.93  % Problem  : theBenchmark.p
% 183.65/140.93  % SZS status Unsatisfiable for theBenchmark.p
% 183.65/140.93  % SZS output start CNFRefutation
% See solution above
% 183.88/141.14  % Total time : 139.580s
%------------------------------------------------------------------------------