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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GRP266-1 : 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 : n008.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 04:25:06 PM UTC 2026

% Result   : Unsatisfiable 2.09s 1.95s
% Output   : CNFRefutation 2.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   90 (  20 unt;  62 nHn;  74 RR)
%            Number of literals    :  222 ( 221 equ;  73 neg)
%            Maximal clause size   :   14 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   59 (   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_17,negated_conjecture,
    ( multiply(sk_c2,sk_c9) = sk_c10
    | multiply(sk_c6,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(prove_this_3,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c6,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

cnf(prove_this_24,negated_conjecture,
    ( inverse(sk_c2) = sk_c9
    | multiply(sk_c6,sk_c9) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

cnf(prove_this_4,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

cnf(prove_this_11,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

cnf(prove_this_41,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c4
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

cnf(prove_this_48,negated_conjecture,
    ( inverse(sk_c3) = sk_c10
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).

cnf(prove_this_49,negated_conjecture,
    ( inverse(sk_c3) = sk_c10
    | inverse(sk_c7) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).

cnf(prove_this_40,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c4
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).

cnf(prove_this_34,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

cnf(prove_this_47,negated_conjecture,
    ( inverse(sk_c3) = sk_c10
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).

cnf(prove_this_35,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | inverse(sk_c7) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

cnf(prove_this_33,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

cnf(prove_this_42,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c4
    | inverse(sk_c7) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

cnf(prove_this_50,negated_conjecture,
    ( multiply(X1,sk_c11) != sk_c10
    | inverse(X1) != sk_c11
    | multiply(X2,sk_c9) != sk_c10
    | inverse(X2) != sk_c9
    | multiply(sk_c10,X3) != sk_c9
    | multiply(X4,sk_c10) != X3
    | inverse(X4) != sk_c10
    | multiply(X5,sk_c11) != sk_c10
    | inverse(X5) != sk_c11
    | multiply(X6,sk_c9) != sk_c10
    | inverse(X6) != sk_c9
    | multiply(sk_c9,X7) != sk_c10
    | multiply(X8,sk_c9) != X7
    | inverse(X8) != sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).

cnf(c_0_18,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity ).

cnf(c_0_19,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_20,axiom,
    multiply(identity,X1) = X1,
    left_identity ).

cnf(c_0_21,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_22,negated_conjecture,
    ( multiply(sk_c2,sk_c9) = sk_c10
    | multiply(sk_c6,sk_c9) = sk_c10 ),
    prove_this_17 ).

cnf(c_0_23,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c6,sk_c9) = sk_c10 ),
    prove_this_3 ).

cnf(c_0_24,negated_conjecture,
    ( multiply(inverse(sk_c2),sk_c10) = sk_c9
    | multiply(sk_c6,sk_c9) = sk_c10 ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    ( inverse(sk_c2) = sk_c9
    | multiply(sk_c6,sk_c9) = sk_c10 ),
    prove_this_24 ).

cnf(c_0_26,negated_conjecture,
    ( multiply(inverse(sk_c6),sk_c10) = sk_c9
    | multiply(sk_c1,sk_c11) = sk_c10 ),
    inference(spm,[status(thm)],[c_0_21,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | inverse(sk_c6) = sk_c9 ),
    prove_this_4 ).

cnf(c_0_28,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = sk_c10
    | multiply(sk_c9,sk_c10) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c10
    | multiply(sk_c9,sk_c10) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    ( multiply(inverse(sk_c6),sk_c10) = sk_c9
    | multiply(sk_c9,sk_c10) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_21,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( inverse(sk_c1) = sk_c11
    | inverse(sk_c6) = sk_c9 ),
    prove_this_11 ).

cnf(c_0_32,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c10) = sk_c11
    | multiply(sk_c9,sk_c10) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_21,c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    ( multiply(sk_c9,sk_c10) = sk_c9
    | inverse(sk_c1) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c4
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    prove_this_41 ).

cnf(c_0_35,negated_conjecture,
    ( multiply(sk_c9,sk_c10) = sk_c9
    | multiply(sk_c11,sk_c10) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    ( multiply(inverse(sk_c3),sk_c4) = sk_c10
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_21,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ( inverse(sk_c3) = sk_c10
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    prove_this_48 ).

cnf(c_0_38,negated_conjecture,
    ( multiply(sk_c9,sk_c10) = sk_c9
    | identity = sk_c10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_35]),c_0_19]) ).

cnf(c_0_39,negated_conjecture,
    ( inverse(sk_c3) = sk_c10
    | inverse(sk_c7) = sk_c9 ),
    prove_this_49 ).

cnf(c_0_40,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c4
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    prove_this_40 ).

cnf(c_0_41,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | multiply(sk_c7,sk_c9) = sk_c8 ),
    prove_this_34 ).

cnf(c_0_42,negated_conjecture,
    ( multiply(sk_c7,sk_c9) = sk_c8
    | multiply(sk_c10,sk_c4) = sk_c10 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    identity = sk_c10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_38]),c_0_19])]) ).

cnf(c_0_44,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = identity
    | inverse(sk_c7) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_19,c_0_39]) ).

cnf(c_0_45,negated_conjecture,
    ( multiply(inverse(sk_c3),sk_c4) = sk_c10
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    inference(spm,[status(thm)],[c_0_21,c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    ( inverse(sk_c3) = sk_c10
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    prove_this_47 ).

cnf(c_0_47,negated_conjecture,
    ( multiply(inverse(sk_c7),sk_c8) = sk_c9
    | multiply(sk_c10,sk_c4) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_21,c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | inverse(sk_c7) = sk_c9 ),
    prove_this_35 ).

cnf(c_0_49,negated_conjecture,
    ( multiply(inverse(sk_c7),sk_c8) = sk_c9
    | multiply(sk_c10,sk_c4) = sk_c10 ),
    inference(spm,[status(thm)],[c_0_21,c_0_42]) ).

cnf(c_0_50,plain,
    multiply(sk_c10,X1) = X1,
    inference(rw,[status(thm)],[c_0_20,c_0_43]) ).

cnf(c_0_51,negated_conjecture,
    ( multiply(sk_c10,sk_c3) = sk_c10
    | inverse(sk_c7) = sk_c9 ),
    inference(rw,[status(thm)],[c_0_44,c_0_43]) ).

cnf(c_0_52,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | multiply(sk_c9,sk_c8) = sk_c10 ),
    prove_this_33 ).

cnf(c_0_53,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c10
    | multiply(sk_c10,sk_c4) = sk_c10 ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_54,negated_conjecture,
    ( multiply(sk_c10,sk_c4) = sk_c9
    | multiply(sk_c9,sk_c8) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    ( multiply(inverse(sk_c7),sk_c8) = sk_c9
    | sk_c4 = sk_c10 ),
    inference(rw,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ( inverse(sk_c7) = sk_c9
    | sk_c3 = sk_c10 ),
    inference(rw,[status(thm)],[c_0_51,c_0_50]) ).

cnf(c_0_57,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c4
    | inverse(sk_c7) = sk_c9 ),
    prove_this_42 ).

cnf(c_0_58,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c10
    | sk_c10 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c9
    | sk_c4 = sk_c9 ),
    inference(rw,[status(thm)],[c_0_54,c_0_50]) ).

cnf(c_0_60,negated_conjecture,
    ( multiply(sk_c9,sk_c8) = sk_c9
    | sk_c3 = sk_c10
    | sk_c4 = sk_c10 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( multiply(sk_c3,sk_c10) = sk_c4
    | multiply(sk_c9,sk_c7) = identity ),
    inference(spm,[status(thm)],[c_0_19,c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    ( sk_c4 = sk_c9
    | sk_c10 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_63,negated_conjecture,
    ( sk_c4 = sk_c10
    | sk_c3 = sk_c10
    | sk_c10 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_58,c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c10
    | multiply(sk_c3,sk_c10) = sk_c4 ),
    inference(rw,[status(thm)],[c_0_61,c_0_43]) ).

cnf(c_0_65,negated_conjecture,
    ( sk_c3 = sk_c10
    | sk_c10 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c10
    | sk_c10 = sk_c9
    | sk_c4 = sk_c10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_50]) ).

cnf(c_0_67,negated_conjecture,
    ( multiply(inverse(sk_c9),sk_c10) = sk_c8
    | sk_c10 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_21,c_0_58]) ).

cnf(c_0_68,negated_conjecture,
    ( multiply(inverse(sk_c9),sk_c10) = sk_c7
    | sk_c4 = sk_c10
    | sk_c10 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_21,c_0_66]) ).

cnf(c_0_69,negated_conjecture,
    ( sk_c4 = sk_c10
    | sk_c10 = sk_c9
    | sk_c8 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_70,negated_conjecture,
    ( sk_c8 = sk_c7
    | sk_c10 = sk_c9 ),
    inference(spm,[status(thm)],[c_0_62,c_0_69]) ).

cnf(c_0_71,plain,
    multiply(inverse(X1),X1) = sk_c10,
    inference(rw,[status(thm)],[c_0_19,c_0_43]) ).

cnf(c_0_72,negated_conjecture,
    ( sk_c4 = sk_c10
    | sk_c10 = sk_c9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_70]),c_0_71])]) ).

cnf(c_0_73,negated_conjecture,
    ( multiply(X1,sk_c11) != sk_c10
    | inverse(X1) != sk_c11
    | multiply(X2,sk_c9) != sk_c10
    | inverse(X2) != sk_c9
    | multiply(sk_c10,X3) != sk_c9
    | multiply(X4,sk_c10) != X3
    | inverse(X4) != sk_c10
    | multiply(X5,sk_c11) != sk_c10
    | inverse(X5) != sk_c11
    | multiply(X6,sk_c9) != sk_c10
    | inverse(X6) != sk_c9
    | multiply(sk_c9,X7) != sk_c10
    | multiply(X8,sk_c9) != X7
    | inverse(X8) != sk_c9 ),
    prove_this_50 ).

cnf(c_0_74,negated_conjecture,
    sk_c10 = sk_c9,
    inference(spm,[status(thm)],[c_0_62,c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    ( multiply(sk_c10,multiply(X1,sk_c10)) != sk_c9
    | multiply(sk_c9,multiply(X2,sk_c9)) != sk_c10
    | multiply(X3,sk_c9) != sk_c10
    | multiply(X4,sk_c11) != sk_c10
    | multiply(X5,sk_c9) != sk_c10
    | multiply(X6,sk_c11) != sk_c10
    | inverse(X2) != sk_c9
    | inverse(X3) != sk_c9
    | inverse(X4) != sk_c11
    | inverse(X1) != sk_c10
    | inverse(X5) != sk_c9
    | inverse(X6) != sk_c11 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_73])]) ).

cnf(c_0_76,plain,
    multiply(inverse(sk_c10),X1) = X1,
    inference(spm,[status(thm)],[c_0_21,c_0_50]) ).

cnf(c_0_77,plain,
    multiply(inverse(X1),X1) = sk_c9,
    inference(rw,[status(thm)],[c_0_71,c_0_74]) ).

cnf(c_0_78,plain,
    multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
    inference(spm,[status(thm)],[c_0_21,c_0_21]) ).

cnf(c_0_79,negated_conjecture,
    ( multiply(sk_c9,multiply(X1,sk_c9)) != sk_c10
    | multiply(X2,sk_c10) != sk_c9
    | multiply(X3,sk_c9) != sk_c10
    | multiply(X4,sk_c11) != sk_c10
    | multiply(X5,sk_c9) != sk_c10
    | multiply(X6,sk_c11) != sk_c10
    | inverse(X1) != sk_c9
    | inverse(X3) != sk_c9
    | inverse(X4) != sk_c11
    | inverse(X2) != sk_c10
    | inverse(X5) != sk_c9
    | inverse(X6) != sk_c11 ),
    inference(rw,[status(thm)],[c_0_75,c_0_50]) ).

cnf(c_0_80,plain,
    multiply(inverse(sk_c9),X1) = X1,
    inference(rw,[status(thm)],[c_0_76,c_0_74]) ).

cnf(c_0_81,plain,
    multiply(X1,sk_c9) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_77]),c_0_78]) ).

cnf(c_0_82,negated_conjecture,
    ( multiply(sk_c9,sk_c9) != sk_c10
    | inverse(inverse(sk_c10)) != sk_c9
    | multiply(X1,sk_c10) != sk_c9
    | multiply(X2,sk_c9) != sk_c10
    | multiply(X3,sk_c11) != sk_c10
    | multiply(X4,sk_c9) != sk_c10
    | multiply(X5,sk_c11) != sk_c10
    | inverse(X2) != sk_c9
    | inverse(X3) != sk_c11
    | inverse(X1) != sk_c10
    | inverse(X4) != sk_c9
    | inverse(X5) != sk_c11 ),
    inference(spm,[status(thm)],[c_0_79,c_0_76]) ).

cnf(c_0_83,plain,
    multiply(sk_c9,X1) = X1,
    inference(rw,[status(thm)],[c_0_50,c_0_74]) ).

cnf(c_0_84,plain,
    inverse(sk_c9) = sk_c9,
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    ( multiply(X1,sk_c11) != sk_c9
    | multiply(X2,sk_c11) != sk_c9
    | inverse(X1) != sk_c11
    | inverse(X2) != sk_c11 ),
    inference(cn,[status(thm)],[inference(rw,[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)],[c_0_82,c_0_74]),c_0_74]),c_0_74]),c_0_74]),c_0_74]),c_0_74]),c_0_74]),c_0_74]),c_0_83]),c_0_84]),c_0_84]),c_0_81]),c_0_81]),c_0_81])])])])]),c_0_84])]) ).

cnf(c_0_86,negated_conjecture,
    ( inverse(inverse(sk_c11)) != sk_c11
    | multiply(X1,sk_c11) != sk_c9
    | inverse(X1) != sk_c11 ),
    inference(spm,[status(thm)],[c_0_85,c_0_77]) ).

cnf(c_0_87,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_81]),c_0_81]) ).

cnf(c_0_88,negated_conjecture,
    ( multiply(X1,sk_c11) != sk_c9
    | inverse(X1) != sk_c11 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).

cnf(c_0_89,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_87])]),c_0_19]),c_0_43]),c_0_74])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP266-1 : 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
% 0.14/0.32  % Computer : n008.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Mon May  4 18:31:13 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 2.09/1.95  % Version  : CSE_E---1.7
% 2.09/1.95  % Problem  : theBenchmark.p
% 2.09/1.95  % SZS status Unsatisfiable for theBenchmark.p
% 2.09/1.95  % SZS output start CNFRefutation
% See solution above
% 2.09/1.95  % Total time : 1.370s
%------------------------------------------------------------------------------