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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GRP296-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n004.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 04:25:19 PM UTC 2026

% Result   : Unsatisfiable 1.39s 1.77s
% Output   : CNFRefutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   53
%            Number of leaves      :   29
% Syntax   : Number of clauses     :  197 (  23 unt; 163 nHn; 175 RR)
%            Number of literals    :  437 ( 436 equ;  76 neg)
%            Maximal clause size   :   12 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn)

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

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

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

cnf(prove_this_16,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(prove_this_34,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

cnf(prove_this_36,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

cnf(prove_this_18,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

cnf(prove_this_33,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

cnf(prove_this_15,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

cnf(prove_this_35,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c5,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

cnf(prove_this_17,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c5,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(prove_this_32,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

cnf(prove_this_14,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

cnf(prove_this_31,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

cnf(prove_this_13,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

cnf(prove_this_37,negated_conjecture,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | multiply(X1,sk_c8) != sk_c7
    | inverse(X1) != sk_c8
    | multiply(sk_c8,sk_c6) != sk_c7
    | multiply(X2,sk_c8) != sk_c6
    | inverse(X2) != sk_c8
    | multiply(sk_c6,sk_c8) != sk_c7
    | multiply(sk_c8,X3) != sk_c7
    | multiply(X4,sk_c8) != X3
    | inverse(X4) != sk_c8
    | multiply(X5,sk_c6) != sk_c8
    | inverse(X5) != sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

cnf(prove_this_28,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

cnf(prove_this_10,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(prove_this_30,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

cnf(prove_this_27,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

cnf(prove_this_25,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

cnf(prove_this_12,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(prove_this_9,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(prove_this_7,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(prove_this_5,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c5,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

cnf(prove_this_11,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c5,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

cnf(prove_this_26,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

cnf(prove_this_8,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(prove_this_19,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_0_29,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity ).

cnf(c_0_30,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_31,axiom,
    multiply(identity,X1) = X1,
    left_identity ).

cnf(c_0_32,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_33,plain,
    multiply(inverse(inverse(X1)),identity) = X1,
    inference(spm,[status(thm)],[c_0_32,c_0_30]) ).

cnf(c_0_34,plain,
    multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
    inference(spm,[status(thm)],[c_0_32,c_0_32]) ).

cnf(c_0_35,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_36,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_35]) ).

cnf(c_0_37,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    prove_this_16 ).

cnf(c_0_38,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    prove_this_34 ).

cnf(c_0_39,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c8) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | inverse(sk_c5) = sk_c6 ),
    prove_this_36 ).

cnf(c_0_41,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c5) = sk_c6 ),
    prove_this_18 ).

cnf(c_0_42,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c8) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    ( inverse(sk_c8) = sk_c1
    | inverse(sk_c8) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_36,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = identity
    | inverse(sk_c2) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_30,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = identity
    | inverse(sk_c1) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_30,c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    ( inverse(sk_c8) = sk_c2
    | inverse(sk_c8) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_36,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( inverse(sk_c8) = sk_c3
    | sk_c1 != sk_c3 ),
    inference(ef,[status(thm)],[c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    prove_this_33 ).

cnf(c_0_49,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    prove_this_15 ).

cnf(c_0_50,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = identity
    | inverse(sk_c8) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_44]) ).

cnf(c_0_51,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = identity
    | inverse(sk_c8) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    ( inverse(sk_c8) = sk_c3
    | sk_c2 = sk_c1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_43]),c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c4
    | inverse(sk_c8) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c4
    | inverse(sk_c8) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c5,sk_c6) = sk_c8 ),
    prove_this_35 ).

cnf(c_0_56,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c5,sk_c6) = sk_c8 ),
    prove_this_17 ).

cnf(c_0_57,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = identity
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = identity
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_30,c_0_52]) ).

cnf(c_0_59,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c4
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | inverse(sk_c8) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_55]) ).

cnf(c_0_61,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | inverse(sk_c8) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_56]) ).

cnf(c_0_62,negated_conjecture,
    ( inverse(sk_c6) = sk_c5
    | sk_c2 = sk_c1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_57]),c_0_35]) ).

cnf(c_0_63,negated_conjecture,
    ( sk_c2 = sk_c1
    | identity = sk_c4 ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = identity
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_30,c_0_62]) ).

cnf(c_0_66,plain,
    multiply(X1,inverse(X1)) = identity,
    inference(spm,[status(thm)],[c_0_30,c_0_36]) ).

cnf(c_0_67,negated_conjecture,
    ( multiply(sk_c4,X1) = X1
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_31,c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    ( sk_c2 = sk_c1
    | identity = sk_c8 ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_69,negated_conjecture,
    ( inverse(sk_c4) = identity
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    ( sk_c4 = sk_c8
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_63,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    prove_this_32 ).

cnf(c_0_72,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    prove_this_14 ).

cnf(c_0_73,negated_conjecture,
    ( inverse(sk_c8) = identity
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_74,negated_conjecture,
    ( inverse(sk_c2) = sk_c8
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    prove_this_31 ).

cnf(c_0_75,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    prove_this_13 ).

cnf(c_0_76,negated_conjecture,
    ( multiply(sk_c8,sk_c4) = sk_c7
    | inverse(sk_c8) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    ( multiply(sk_c8,sk_c4) = sk_c7
    | inverse(sk_c8) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    ( sk_c2 = sk_c1
    | identity = sk_c3 ),
    inference(spm,[status(thm)],[c_0_52,c_0_73]) ).

cnf(c_0_79,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_36,c_0_74]) ).

cnf(c_0_80,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_36,c_0_75]) ).

cnf(c_0_81,negated_conjecture,
    ( multiply(sk_c8,sk_c4) = sk_c7
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_82,negated_conjecture,
    ( sk_c4 = sk_c3
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_63,c_0_78]) ).

cnf(c_0_83,plain,
    multiply(inverse(identity),X1) = X1,
    inference(spm,[status(thm)],[c_0_32,c_0_31]) ).

cnf(c_0_84,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_85,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = identity
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_66,c_0_52]) ).

cnf(c_0_86,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = sk_c7
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_87,plain,
    multiply(inverse(inverse(identity)),X1) = X1,
    inference(spm,[status(thm)],[c_0_32,c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    ( multiply(inverse(sk_c6),sk_c7) = sk_c8
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_32,c_0_84]) ).

cnf(c_0_89,negated_conjecture,
    ( sk_c2 = sk_c1
    | identity = sk_c7 ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,plain,
    inverse(identity) = identity,
    inference(spm,[status(thm)],[c_0_30,c_0_87]) ).

cnf(c_0_91,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c8
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_88,c_0_62]) ).

cnf(c_0_92,negated_conjecture,
    ( multiply(X1,sk_c7) = X1
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_35,c_0_89]) ).

cnf(c_0_93,negated_conjecture,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | multiply(X1,sk_c8) != sk_c7
    | inverse(X1) != sk_c8
    | multiply(sk_c8,sk_c6) != sk_c7
    | multiply(X2,sk_c8) != sk_c6
    | inverse(X2) != sk_c8
    | multiply(sk_c6,sk_c8) != sk_c7
    | multiply(sk_c8,X3) != sk_c7
    | multiply(X4,sk_c8) != X3
    | inverse(X4) != sk_c8
    | multiply(X5,sk_c6) != sk_c8
    | inverse(X5) != sk_c6 ),
    prove_this_37 ).

cnf(c_0_94,negated_conjecture,
    ( multiply(inverse(sk_c8),sk_c7) = sk_c4
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_32,c_0_81]) ).

cnf(c_0_95,negated_conjecture,
    ( inverse(sk_c8) = sk_c8
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_90,c_0_68]) ).

cnf(c_0_96,negated_conjecture,
    ( multiply(inverse(sk_c5),sk_c8) = sk_c6
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_32,c_0_64]) ).

cnf(c_0_97,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c5 = sk_c8 ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_98,negated_conjecture,
    ( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c8,sk_c6) != sk_c7
    | multiply(sk_c6,sk_c8) != sk_c7
    | multiply(X2,sk_c6) != sk_c8
    | multiply(X3,sk_c8) != sk_c6
    | multiply(X4,sk_c8) != sk_c7
    | inverse(X2) != sk_c6
    | inverse(X1) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c8 ),
    inference(er,[status(thm)],[c_0_93]) ).

cnf(c_0_99,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c4
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_100,negated_conjecture,
    ( sk_c2 = sk_c1
    | identity = sk_c6 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_30]) ).

cnf(c_0_101,negated_conjecture,
    ( sk_c2 = sk_c1
    | multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
    | multiply(sk_c8,sk_c6) != sk_c7
    | multiply(X2,sk_c6) != sk_c8
    | multiply(X3,sk_c8) != sk_c6
    | multiply(X4,sk_c8) != sk_c7
    | inverse(X2) != sk_c6
    | inverse(X1) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c8
    | sk_c4 != sk_c6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_84]) ).

cnf(c_0_102,negated_conjecture,
    ( sk_c4 = sk_c6
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_63,c_0_100]) ).

cnf(c_0_103,negated_conjecture,
    ( multiply(X1,sk_c8) = X1
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_35,c_0_68]) ).

cnf(c_0_104,negated_conjecture,
    ( sk_c2 = sk_c1
    | multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
    | multiply(sk_c8,sk_c6) != sk_c7
    | multiply(X2,sk_c6) != sk_c8
    | multiply(X3,sk_c8) != sk_c6
    | multiply(X4,sk_c8) != sk_c7
    | inverse(X2) != sk_c6
    | inverse(X1) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c8 ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_105,negated_conjecture,
    ( multiply(sk_c8,X1) = X1
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_31,c_0_68]) ).

cnf(c_0_106,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_84,c_0_103]) ).

cnf(c_0_107,negated_conjecture,
    ( multiply(X1,sk_c4) = X1
    | sk_c2 = sk_c1 ),
    inference(spm,[status(thm)],[c_0_35,c_0_63]) ).

cnf(c_0_108,negated_conjecture,
    ( sk_c2 = sk_c1
    | multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7
    | multiply(X2,sk_c6) != sk_c8
    | multiply(X3,sk_c8) != sk_c6
    | multiply(X4,sk_c8) != sk_c7
    | inverse(X2) != sk_c6
    | inverse(X1) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]) ).

cnf(c_0_109,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c7 = sk_c8 ),
    inference(spm,[status(thm)],[c_0_81,c_0_107]) ).

cnf(c_0_110,negated_conjecture,
    ( sk_c2 = sk_c1
    | multiply(X1,sk_c6) != sk_c8
    | multiply(X2,sk_c8) != sk_c6
    | multiply(X3,sk_c8) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c8 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_30]),c_0_35]),c_0_36])]),c_0_109]) ).

cnf(c_0_111,negated_conjecture,
    ( sk_c2 = sk_c1
    | multiply(X1,sk_c8) != sk_c6
    | multiply(X2,sk_c8) != sk_c7
    | inverse(X1) != sk_c8
    | inverse(X2) != sk_c8 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_30]),c_0_36])]),c_0_68]) ).

cnf(c_0_112,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c8 ),
    prove_this_28 ).

cnf(c_0_113,negated_conjecture,
    ( sk_c2 = sk_c1
    | multiply(X1,sk_c8) != sk_c7
    | inverse(X1) != sk_c8 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_30]),c_0_36])]),c_0_100]) ).

cnf(c_0_114,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | inverse(sk_c3) = sk_c8 ),
    prove_this_10 ).

cnf(c_0_115,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | multiply(sk_c8,sk_c3) = identity ),
    inference(spm,[status(thm)],[c_0_30,c_0_112]) ).

cnf(c_0_116,negated_conjecture,
    sk_c2 = sk_c1,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_36])]),c_0_30]),c_0_89]) ).

cnf(c_0_117,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    prove_this_30 ).

cnf(c_0_118,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    prove_this_27 ).

cnf(c_0_119,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c8,sk_c3) = identity ),
    inference(spm,[status(thm)],[c_0_30,c_0_114]) ).

cnf(c_0_120,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = identity
    | multiply(sk_c1,sk_c8) = sk_c6 ),
    inference(rw,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_121,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    prove_this_25 ).

cnf(c_0_122,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | inverse(sk_c5) = sk_c6 ),
    prove_this_12 ).

cnf(c_0_123,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | multiply(sk_c6,sk_c5) = identity ),
    inference(spm,[status(thm)],[c_0_30,c_0_117]) ).

cnf(c_0_124,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    prove_this_9 ).

cnf(c_0_125,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c6
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    inference(rw,[status(thm)],[c_0_118,c_0_116]) ).

cnf(c_0_126,negated_conjecture,
    ( multiply(sk_c8,sk_c3) = identity
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_127,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    prove_this_7 ).

cnf(c_0_128,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c6
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    inference(rw,[status(thm)],[c_0_121,c_0_116]) ).

cnf(c_0_129,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c6,sk_c5) = identity ),
    inference(spm,[status(thm)],[c_0_30,c_0_122]) ).

cnf(c_0_130,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = identity
    | multiply(sk_c1,sk_c8) = sk_c6 ),
    inference(rw,[status(thm)],[c_0_123,c_0_116]) ).

cnf(c_0_131,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c4
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_132,negated_conjecture,
    ( inverse(sk_c8) = sk_c3
    | sk_c7 = sk_c6 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_126]),c_0_35]) ).

cnf(c_0_133,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_134,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = identity
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_135,negated_conjecture,
    ( multiply(inverse(sk_c3),sk_c4) = sk_c8
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_32,c_0_131]) ).

cnf(c_0_136,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_36,c_0_132]) ).

cnf(c_0_137,negated_conjecture,
    ( multiply(inverse(sk_c6),sk_c7) = sk_c8
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_32,c_0_133]) ).

cnf(c_0_138,negated_conjecture,
    ( inverse(sk_c6) = sk_c5
    | sk_c7 = sk_c6 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_134]),c_0_35]) ).

cnf(c_0_139,negated_conjecture,
    ( multiply(sk_c8,sk_c4) = sk_c8
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_140,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c5,sk_c6) = sk_c8 ),
    prove_this_5 ).

cnf(c_0_141,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c8
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_142,negated_conjecture,
    ( sk_c7 = sk_c6
    | identity = sk_c4 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_139]),c_0_30]) ).

cnf(c_0_143,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = identity
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_30,c_0_138]) ).

cnf(c_0_144,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | sk_c7 = sk_c6
    | sk_c1 = sk_c3 ),
    inference(spm,[status(thm)],[c_0_61,c_0_132]) ).

cnf(c_0_145,negated_conjecture,
    ( multiply(inverse(sk_c5),sk_c8) = sk_c6
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_32,c_0_140]) ).

cnf(c_0_146,negated_conjecture,
    ( multiply(inverse(sk_c5),sk_c8) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_32,c_0_141]) ).

cnf(c_0_147,negated_conjecture,
    ( multiply(sk_c4,X1) = X1
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_31,c_0_142]) ).

cnf(c_0_148,negated_conjecture,
    ( sk_c1 = sk_c3
    | sk_c7 = sk_c6
    | identity = sk_c8 ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_149,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c5,sk_c6) = sk_c8 ),
    prove_this_11 ).

cnf(c_0_150,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_151,negated_conjecture,
    ( inverse(sk_c4) = identity
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_66,c_0_147]) ).

cnf(c_0_152,negated_conjecture,
    ( sk_c1 = sk_c3
    | sk_c4 = sk_c8
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_142,c_0_148]) ).

cnf(c_0_153,negated_conjecture,
    ( multiply(inverse(sk_c5),sk_c8) = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_32,c_0_149]) ).

cnf(c_0_154,negated_conjecture,
    ( multiply(inverse(sk_c8),sk_c6) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_32,c_0_150]) ).

cnf(c_0_155,negated_conjecture,
    ( inverse(sk_c8) = identity
    | sk_c1 = sk_c3
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_156,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c6
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    prove_this_26 ).

cnf(c_0_157,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_146,c_0_153]) ).

cnf(c_0_158,negated_conjecture,
    ( sk_c1 = sk_c3
    | sk_c7 = sk_c6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_31])]) ).

cnf(c_0_159,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    prove_this_8 ).

cnf(c_0_160,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c6
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    inference(rw,[status(thm)],[c_0_156,c_0_116]) ).

cnf(c_0_161,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_162,negated_conjecture,
    ( multiply(sk_c8,sk_c4) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_163,negated_conjecture,
    ( sk_c7 = sk_c6
    | sk_c4 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_131,c_0_161]) ).

cnf(c_0_164,negated_conjecture,
    ( multiply(inverse(sk_c2),sk_c6) = sk_c8
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_32,c_0_121]) ).

cnf(c_0_165,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_166,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | multiply(sk_c8,sk_c6) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_164,c_0_74]) ).

cnf(c_0_167,negated_conjecture,
    sk_c7 = sk_c6,
    inference(spm,[status(thm)],[c_0_150,c_0_165]) ).

cnf(c_0_168,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c8
    | multiply(sk_c6,sk_c8) = sk_c6 ),
    inference(rw,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_169,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    prove_this_19 ).

cnf(c_0_170,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c8
    | identity = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_168]),c_0_30]) ).

cnf(c_0_171,negated_conjecture,
    ( multiply(inverse(sk_c6),sk_c7) = sk_c8
    | multiply(sk_c8,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_32,c_0_169]) ).

cnf(c_0_172,negated_conjecture,
    ( identity = sk_c8
    | identity = sk_c6 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_170]),c_0_30]) ).

cnf(c_0_173,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c6
    | identity = sk_c8 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_167]),c_0_30]),c_0_167]) ).

cnf(c_0_174,negated_conjecture,
    ( identity = sk_c8
    | sk_c6 != sk_c8 ),
    inference(ef,[status(thm)],[c_0_172]) ).

cnf(c_0_175,negated_conjecture,
    identity = sk_c8,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_170]),c_0_174]) ).

cnf(c_0_176,negated_conjecture,
    ( multiply(inverse(sk_c2),sk_c6) = sk_c8
    | multiply(sk_c8,sk_c4) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_32,c_0_156]) ).

cnf(c_0_177,negated_conjecture,
    ( inverse(sk_c8) = sk_c3
    | inverse(sk_c1) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_36,c_0_43]) ).

cnf(c_0_178,plain,
    inverse(sk_c8) = sk_c8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_175]),c_0_175]) ).

cnf(c_0_179,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c8 ),
    inference(rw,[status(thm)],[c_0_112,c_0_116]) ).

cnf(c_0_180,plain,
    multiply(X1,sk_c8) = X1,
    inference(rw,[status(thm)],[c_0_35,c_0_175]) ).

cnf(c_0_181,negated_conjecture,
    ( multiply(sk_c8,sk_c4) = sk_c7
    | multiply(sk_c8,sk_c6) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_176,c_0_71]) ).

cnf(c_0_182,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c7) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_32,c_0_124]) ).

cnf(c_0_183,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | sk_c3 = sk_c8 ),
    inference(rw,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_184,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | sk_c1 = sk_c6 ),
    inference(rw,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_185,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c8
    | multiply(sk_c8,sk_c4) = sk_c6 ),
    inference(rw,[status(thm)],[c_0_181,c_0_167]) ).

cnf(c_0_186,plain,
    multiply(sk_c8,X1) = X1,
    inference(rw,[status(thm)],[c_0_31,c_0_175]) ).

cnf(c_0_187,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c6) = sk_c8
    | sk_c4 = sk_c3 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_167]),c_0_180]) ).

cnf(c_0_188,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | sk_c4 = sk_c3 ),
    inference(rw,[status(thm)],[c_0_49,c_0_180]) ).

cnf(c_0_189,negated_conjecture,
    ( sk_c3 = sk_c8
    | sk_c1 = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_183]),c_0_178]) ).

cnf(c_0_190,negated_conjecture,
    ( sk_c1 = sk_c6
    | sk_c3 = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_184]),c_0_178]) ).

cnf(c_0_191,negated_conjecture,
    ( sk_c4 = sk_c6
    | sk_c6 = sk_c8 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186]),c_0_186]) ).

cnf(c_0_192,negated_conjecture,
    ( sk_c4 = sk_c3
    | sk_c6 = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_186]) ).

cnf(c_0_193,negated_conjecture,
    ( sk_c6 = sk_c8
    | sk_c3 = sk_c8 ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_194,negated_conjecture,
    ( sk_c6 = sk_c8
    | sk_c3 = sk_c6 ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_195,negated_conjecture,
    sk_c6 = sk_c8,
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_196,negated_conjecture,
    $false,
    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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_167]),c_0_167]),c_0_167]),c_0_167]),c_0_167])]),c_0_180]),c_0_186]),c_0_195]),c_0_186]),c_0_195]),c_0_195]),c_0_180]),c_0_195]),c_0_195]),c_0_195]),c_0_180]),c_0_180]),c_0_195]),c_0_180]),c_0_195]),c_0_195])])])])])]),c_0_178])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP296-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n004.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 18:31:47 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.39/1.77  % Version  : CSE_E---1.7
% 1.39/1.77  % Problem  : theBenchmark.p
% 1.39/1.77  % SZS status Unsatisfiable for theBenchmark.p
% 1.39/1.77  % SZS output start CNFRefutation
% See solution above
% 1.39/1.77  % Total time : 1.370s
%------------------------------------------------------------------------------