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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : GRP538-1 : TPTP v9.2.1. Released v2.6.0.
% 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 : n011.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 04:26:21 PM UTC 2026

% Result   : Unsatisfiable 0.89s 1.62s
% Output   : CNFRefutation 0.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   21
% Syntax   : Number of clauses     :  135 ( 121 unt;   0 nHn;  34 RR)
%            Number of literals    :  151 ( 150 equ;  43 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  286 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    divide(divide(X1,X2),divide(divide(X1,X3),X2)) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).

cnf(multiply,axiom,
    multiply(X1,X2) = divide(X1,divide(divide(X3,X3),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

cnf(prove_these_axioms_2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

cnf(inverse,axiom,
    inverse(X1) = divide(divide(X2,X2),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

cnf(identity,axiom,
    identity = divide(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

cnf(i_0_5,axiom,
    divide(divide(X1,X2),divide(divide(X1,X3),X2)) = X3,
    single_axiom,
    [final] ).

cnf(i_0_6,axiom,
    multiply(X1,X2) = divide(X1,divide(divide(X3,X3),X2)),
    multiply,
    [final] ).

cnf(i_0_7,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    prove_these_axioms_2,
    [final] ).

cnf(i_0_8,axiom,
    inverse(X1) = divide(divide(X2,X2),X1),
    inverse,
    [final] ).

cnf(i_0_9,axiom,
    identity = divide(X1,X1),
    identity,
    [final] ).

cnf(i_0_10,axiom,
    X1 = X1 ).

cnf(i_0_11,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_12,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_13,axiom,
    ( X1 != X2
    | divide(X1,X3) = divide(X2,X3) ) ).

cnf(i_0_14,axiom,
    ( X1 != X2
    | divide(X3,X1) = divide(X3,X2) ) ).

cnf(i_0_15,axiom,
    ( X1 != X2
    | multiply(X1,X3) = multiply(X2,X3) ) ).

cnf(i_0_16,axiom,
    ( X1 != X2
    | multiply(X3,X1) = multiply(X3,X2) ) ).

cnf(i_0_17,axiom,
    ( X1 != X2
    | inverse(X1) = inverse(X2) ) ).

cnf(i_0_10_001,axiom,
    X1 = X1 ).

cnf(i_0_11_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_12_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_13_004,axiom,
    ( X1 != X2
    | divide(X1,X3) = divide(X2,X3) ) ).

cnf(i_0_14_005,axiom,
    ( X1 != X2
    | divide(X3,X1) = divide(X3,X2) ) ).

cnf(i_0_15_006,axiom,
    ( X1 != X2
    | multiply(X1,X3) = multiply(X2,X3) ) ).

cnf(i_0_16_007,axiom,
    ( X1 != X2
    | multiply(X3,X1) = multiply(X3,X2) ) ).

cnf(i_0_17_008,axiom,
    ( X1 != X2
    | inverse(X1) = inverse(X2) ) ).

cnf(i_0_18,plain,
    divide(X1,X1) = identity,
    inference(scs_inference,[],[i_0_9,i_0_11]) ).

cnf(i_0_19,plain,
    divide(divide(X1,X2),divide(divide(X1,identity),X2)) = divide(X3,X3),
    inference(scs_inference,[],[i_0_9,i_0_5,i_0_11,i_0_12]) ).

cnf(i_0_20,plain,
    divide(divide(X1,X2),divide(divide(X1,X3),X2)) = X3,
    inference(rename_variables,[],[i_0_5]) ).

cnf(i_0_21,plain,
    divide(X1,X1) = divide(divide(X2,X3),divide(divide(X2,identity),X3)),
    inference(scs_inference,[],[i_0_19,i_0_11]) ).

cnf(i_0_22,plain,
    inverse(divide(divide(X1,identity),X1)) = divide(X2,X2),
    inference(scs_inference,[],[i_0_19,i_0_8,i_0_11,i_0_12]) ).

cnf(i_0_23,plain,
    divide(divide(X1,X2),divide(divide(X1,identity),X2)) = divide(X3,X3),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_24,plain,
    inverse(X1) = divide(divide(X2,X2),X1),
    inference(rename_variables,[],[i_0_8]) ).

cnf(i_0_25,plain,
    divide(X1,X1) = inverse(divide(divide(X2,identity),X2)),
    inference(scs_inference,[],[i_0_22,i_0_11]) ).

cnf(i_0_26,plain,
    inverse(divide(divide(X1,identity),X1)) = identity,
    inference(scs_inference,[],[i_0_18,i_0_22,i_0_11,i_0_12]) ).

cnf(i_0_27,plain,
    divide(X1,X1) = identity,
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_28,plain,
    identity = inverse(divide(divide(X1,identity),X1)),
    inference(scs_inference,[],[i_0_26,i_0_11]) ).

cnf(i_0_29,plain,
    divide(X1,X1) = divide(X2,X2),
    inference(scs_inference,[],[i_0_21,i_0_26,i_0_19,i_0_11,i_0_12]) ).

cnf(i_0_30,plain,
    divide(divide(X1,X2),divide(divide(X1,identity),X2)) = divide(X3,X3),
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_31,plain,
    divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
    inference(scs_inference,[],[i_0_6,i_0_11]) ).

cnf(i_0_32,plain,
    divide(X1,X1) = divide(divide(X2,X2),divide(divide(X3,identity),X3)),
    inference(scs_inference,[],[i_0_25,i_0_6,i_0_8,i_0_11,i_0_12]) ).

cnf(i_0_33,plain,
    inverse(X1) = divide(divide(X2,X2),X1),
    inference(rename_variables,[],[i_0_8]) ).

cnf(i_0_34,plain,
    divide(divide(X1,X1),divide(divide(X2,identity),X2)) = divide(X3,X3),
    inference(scs_inference,[],[i_0_32,i_0_11]) ).

cnf(i_0_35,plain,
    divide(X1,X1) = multiply(divide(identity,X2),X2),
    inference(scs_inference,[],[i_0_31,i_0_21,i_0_32,i_0_11,i_0_12]) ).

cnf(i_0_36,plain,
    divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_37,plain,
    divide(X1,X1) = divide(divide(X2,X3),divide(divide(X2,identity),X3)),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_38,plain,
    multiply(divide(identity,X1),X1) = divide(X2,X2),
    inference(scs_inference,[],[i_0_35,i_0_11]) ).

cnf(i_0_39,plain,
    divide(divide(X1,X1),divide(divide(X2,identity),X2)) = identity,
    inference(scs_inference,[],[i_0_34,i_0_18,i_0_35,i_0_11,i_0_12]) ).

cnf(i_0_40,plain,
    divide(X1,X1) = identity,
    inference(rename_variables,[],[i_0_18]) ).

cnf(i_0_41,plain,
    identity = divide(divide(X1,X1),divide(divide(X2,identity),X2)),
    inference(scs_inference,[],[i_0_39,i_0_11]) ).

cnf(i_0_42,plain,
    divide(divide(identity,X1),divide(divide(X2,X2),X1)) = divide(X3,X3),
    inference(scs_inference,[],[i_0_38,i_0_31,i_0_39,i_0_11,i_0_12]) ).

cnf(i_0_43,plain,
    multiply(divide(identity,X1),X1) = divide(X2,X2),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_44,plain,
    divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_45,plain,
    divide(X1,X1) = divide(divide(identity,X2),divide(divide(X3,X3),X2)),
    inference(scs_inference,[],[i_0_42,i_0_11]) ).

cnf(i_0_46,plain,
    identity = multiply(divide(X1,X1),identity),
    inference(scs_inference,[],[i_0_41,i_0_31,i_0_42,i_0_11,i_0_12]) ).

cnf(i_0_47,plain,
    divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_48,plain,
    identity = divide(divide(X1,X1),divide(divide(X2,identity),X2)),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_49,plain,
    multiply(divide(X1,X1),identity) = identity,
    inference(scs_inference,[],[i_0_46,i_0_11]) ).

cnf(i_0_50,plain,
    divide(X1,X1) = multiply(divide(X2,X2),identity),
    inference(scs_inference,[],[i_0_18,i_0_46,i_0_11,i_0_12]) ).

cnf(i_0_51,plain,
    multiply(divide(X1,X1),identity) = divide(X2,X2),
    inference(scs_inference,[],[i_0_50,i_0_11]) ).

cnf(i_0_52,plain,
    multiply(divide(X1,X1),identity) = inverse(divide(divide(X2,identity),X2)),
    inference(scs_inference,[],[i_0_28,i_0_49,i_0_50,i_0_11,i_0_12]) ).

cnf(i_0_53,plain,
    inverse(divide(divide(X1,identity),X1)) = multiply(divide(X2,X2),identity),
    inference(scs_inference,[],[i_0_52,i_0_11]) ).

cnf(i_0_54,plain,
    multiply(divide(X1,X1),identity) = divide(divide(identity,X2),divide(divide(X3,X3),X2)),
    inference(scs_inference,[],[i_0_45,i_0_51,i_0_52,i_0_11,i_0_12]) ).

cnf(i_0_55,plain,
    divide(X1,X1) = divide(divide(identity,X2),divide(divide(X3,X3),X2)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_56,plain,
    divide(divide(identity,X1),divide(divide(X2,X2),X1)) = multiply(divide(X3,X3),identity),
    inference(scs_inference,[],[i_0_54,i_0_11]) ).

cnf(i_0_57,plain,
    multiply(divide(X1,X1),identity) = divide(divide(X2,X2),divide(divide(X3,identity),X3)),
    inference(scs_inference,[],[i_0_41,i_0_49,i_0_54,i_0_11,i_0_12]) ).

cnf(i_0_58,plain,
    divide(divide(X1,X1),divide(divide(X2,identity),X2)) = multiply(divide(X3,X3),identity),
    inference(scs_inference,[],[i_0_57,i_0_11]) ).

cnf(i_0_59,plain,
    divide(divide(X1,X1),divide(divide(X2,identity),X2)) = multiply(divide(identity,X3),X3),
    inference(scs_inference,[],[i_0_34,i_0_57,i_0_35,i_0_11,i_0_12]) ).

cnf(i_0_60,plain,
    divide(X1,X1) = multiply(divide(identity,X2),X2),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_61,plain,
    multiply(divide(identity,X1),X1) = divide(divide(X2,X2),divide(divide(X3,identity),X3)),
    inference(scs_inference,[],[i_0_59,i_0_11]) ).

cnf(i_0_62,plain,
    multiply(divide(identity,X1),X1) = inverse(divide(divide(X2,identity),X2)),
    inference(scs_inference,[],[i_0_25,i_0_38,i_0_59,i_0_11,i_0_12]) ).

cnf(i_0_63,plain,
    divide(X1,X1) = inverse(divide(divide(X2,identity),X2)),
    inference(rename_variables,[],[i_0_25]) ).

cnf(i_0_64,plain,
    inverse(divide(divide(X1,identity),X1)) = multiply(divide(identity,X2),X2),
    inference(scs_inference,[],[i_0_62,i_0_11]) ).

cnf(i_0_65,plain,
    multiply(divide(identity,X1),X1) = multiply(divide(X2,X2),identity),
    inference(scs_inference,[],[i_0_61,i_0_58,i_0_62,i_0_11,i_0_12]) ).

cnf(i_0_66,plain,
    divide(divide(X1,X1),divide(divide(X2,identity),X2)) = multiply(divide(X3,X3),identity),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_67,plain,
    multiply(divide(X1,X1),identity) = multiply(divide(identity,X2),X2),
    inference(scs_inference,[],[i_0_65,i_0_11]) ).

cnf(i_0_68,plain,
    identity = multiply(divide(identity,X1),X1),
    inference(scs_inference,[],[i_0_64,i_0_28,i_0_65,i_0_11,i_0_12]) ).

cnf(i_0_69,plain,
    inverse(divide(divide(X1,identity),X1)) = multiply(divide(identity,X2),X2),
    inference(rename_variables,[],[i_0_64]) ).

cnf(i_0_70,plain,
    multiply(divide(identity,X1),X1) = identity,
    inference(scs_inference,[],[i_0_68,i_0_11]) ).

cnf(i_0_71,plain,
    multiply(divide(X1,X1),identity) = divide(divide(X2,X3),divide(divide(X2,identity),X3)),
    inference(scs_inference,[],[i_0_51,i_0_21,i_0_68,i_0_11,i_0_12]) ).

cnf(i_0_72,plain,
    divide(X1,X1) = divide(divide(X2,X3),divide(divide(X2,identity),X3)),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_73,plain,
    divide(divide(X1,X2),divide(divide(X1,identity),X2)) = multiply(divide(X3,X3),identity),
    inference(scs_inference,[],[i_0_71,i_0_11]) ).

cnf(i_0_74,plain,
    multiply(divide(identity,X1),X1) = multiply(divide(identity,X2),X2),
    inference(scs_inference,[],[i_0_70,i_0_71,i_0_68,i_0_11,i_0_12]) ).

cnf(i_0_75,plain,
    X1 = divide(divide(X2,X3),divide(divide(X2,X1),X3)),
    inference(scs_inference,[],[i_0_5,i_0_11]) ).

cnf(i_0_76,plain,
    divide(divide(X1,X1),X2) = inverse(X2),
    inference(scs_inference,[],[i_0_8,i_0_11]) ).

cnf(i_0_77,plain,
    X1 = multiply(divide(X1,X2),X2),
    inference(scs_inference,[],[i_0_75,i_0_31,i_0_8,i_0_11,i_0_12]) ).

cnf(i_0_78,plain,
    divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_79,plain,
    X1 = divide(divide(X2,X3),divide(divide(X2,X1),X3)),
    inference(rename_variables,[],[i_0_75]) ).

cnf(i_0_80,plain,
    multiply(divide(X1,X2),X2) = X1,
    inference(scs_inference,[],[i_0_77,i_0_11]) ).

cnf(i_0_81,plain,
    X1 = inverse(divide(divide(X2,X1),X2)),
    inference(scs_inference,[],[i_0_76,i_0_75,i_0_77,i_0_11,i_0_12]) ).

cnf(i_0_82,plain,
    divide(divide(X1,X1),X2) = inverse(X2),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_83,plain,
    X1 = divide(divide(X2,X3),divide(divide(X2,X1),X3)),
    inference(rename_variables,[],[i_0_75]) ).

cnf(i_0_84,plain,
    inverse(divide(divide(X1,X2),X1)) = X2,
    inference(scs_inference,[],[i_0_81,i_0_11]) ).

cnf(i_0_85,plain,
    multiply(multiply(inverse(b2),b2),a2) != multiply(divide(a2,X1),X1),
    inference(scs_inference,[],[i_0_7,i_0_80,i_0_81,i_0_11,i_0_12]) ).

cnf(i_0_86,plain,
    multiply(divide(X1,X2),X2) = X1,
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_87,plain,
    multiply(inverse(b2),b2) != divide(a2,a2),
    inference(scs_inference,[],[i_0_7,i_0_80,i_0_81,i_0_11,i_0_12,i_0_15]) ).

cnf(i_0_88,plain,
    multiply(inverse(b2),b2) != divide(divide(X1,X1),divide(divide(X2,identity),X2)),
    inference(scs_inference,[],[i_0_34,i_0_87,i_0_12]) ).

cnf(i_0_89,plain,
    divide(divide(X1,X1),divide(divide(X2,identity),X2)) = divide(X3,X3),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_90,plain,
    multiply(inverse(b2),b2) != divide(X1,X1),
    inference(scs_inference,[],[i_0_45,i_0_88,i_0_12]) ).

cnf(i_0_91,plain,
    divide(X1,X1) = divide(divide(identity,X2),divide(divide(X3,X3),X2)),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_92,plain,
    multiply(inverse(b2),b2) != divide(divide(X1,X1),divide(divide(X2,identity),X2)),
    inference(rename_variables,[],[i_0_88]) ).

cnf(i_0_93,plain,
    multiply(inverse(b2),b2) != multiply(divide(identity,X1),X1),
    inference(scs_inference,[],[i_0_61,i_0_88,i_0_12]) ).

cnf(i_0_94,plain,
    multiply(divide(identity,X1),X1) = divide(divide(X2,X2),divide(divide(X3,identity),X3)),
    inference(rename_variables,[],[i_0_61]) ).

cnf(i_0_95,plain,
    inverse(b2) != divide(identity,b2),
    inference(scs_inference,[],[i_0_61,i_0_88,i_0_12,i_0_15]) ).

cnf(i_0_96,plain,
    multiply(inverse(b2),b2) != divide(divide(X1,X2),divide(divide(X1,identity),X2)),
    inference(scs_inference,[],[i_0_73,i_0_93,i_0_12]) ).

cnf(i_0_97,plain,
    divide(divide(X1,X2),divide(divide(X1,identity),X2)) = multiply(divide(X3,X3),identity),
    inference(rename_variables,[],[i_0_73]) ).

cnf(i_0_98,plain,
    multiply(inverse(b2),b2) != multiply(divide(identity,X1),X1),
    inference(rename_variables,[],[i_0_93]) ).

cnf(i_0_99,plain,
    multiply(inverse(b2),b2) != inverse(divide(divide(X1,identity),X1)),
    inference(scs_inference,[],[i_0_53,i_0_93,i_0_12]) ).

cnf(i_0_100,plain,
    inverse(divide(divide(X1,identity),X1)) = multiply(divide(X2,X2),identity),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_101,plain,
    multiply(inverse(b2),b2) != multiply(divide(identity,X1),X1),
    inference(rename_variables,[],[i_0_93]) ).

cnf(i_0_102,plain,
    multiply(inverse(b2),b2) != divide(divide(identity,X1),divide(divide(X2,X2),X1)),
    inference(scs_inference,[],[i_0_56,i_0_93,i_0_12]) ).

cnf(i_0_103,plain,
    divide(divide(identity,X1),divide(divide(X2,X2),X1)) = multiply(divide(X3,X3),identity),
    inference(rename_variables,[],[i_0_56]) ).

cnf(i_0_104,plain,
    multiply(inverse(b2),b2) != multiply(divide(identity,X1),X1),
    inference(rename_variables,[],[i_0_93]) ).

cnf(i_0_105,plain,
    multiply(inverse(b2),b2) != multiply(divide(X1,X1),identity),
    inference(scs_inference,[],[i_0_67,i_0_93,i_0_12]) ).

cnf(i_0_106,plain,
    multiply(divide(X1,X1),identity) = multiply(divide(identity,X2),X2),
    inference(rename_variables,[],[i_0_67]) ).

cnf(i_0_107,plain,
    multiply(inverse(b2),b2) != identity,
    inference(scs_inference,[],[i_0_75,i_0_96,i_0_12]) ).

cnf(i_0_108,plain,
    X1 = divide(divide(X2,X3),divide(divide(X2,X1),X3)),
    inference(rename_variables,[],[i_0_75]) ).

cnf(i_0_109,plain,
    multiply(inverse(b2),b2) != inverse(divide(X1,X1)),
    inference(scs_inference,[],[i_0_90,i_0_8,i_0_12]) ).

cnf(i_0_110,plain,
    inverse(X1) = divide(divide(X2,X2),X1),
    inference(rename_variables,[],[i_0_8]) ).

cnf(i_0_111,plain,
    multiply(inverse(b2),b2) != divide(X1,X1),
    inference(rename_variables,[],[i_0_90]) ).

cnf(i_0_112,plain,
    multiply(inverse(b2),b2) != divide(divide(X1,X1),divide(X2,X2)),
    inference(scs_inference,[],[i_0_76,i_0_109,i_0_12]) ).

cnf(i_0_113,plain,
    divide(divide(X1,X1),X2) = inverse(X2),
    inference(rename_variables,[],[i_0_76]) ).

cnf(i_0_114,plain,
    multiply(inverse(b2),b2) != multiply(divide(X1,X1),divide(X2,X2)),
    inference(scs_inference,[],[i_0_112,i_0_6,i_0_12]) ).

cnf(i_0_115,plain,
    multiply(X1,X2) = divide(X1,divide(divide(X3,X3),X2)),
    inference(rename_variables,[],[i_0_6]) ).

cnf(i_0_116,plain,
    multiply(inverse(b2),b2) != divide(divide(X1,X1),divide(X2,X2)),
    inference(rename_variables,[],[i_0_112]) ).

cnf(i_0_117,plain,
    multiply(inverse(b2),b2) != divide(divide(X1,X1),divide(divide(X2,X2),divide(X3,X3))),
    inference(scs_inference,[],[i_0_31,i_0_114,i_0_12]) ).

cnf(i_0_118,plain,
    divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_119,plain,
    multiply(inverse(b2),b2) != inverse(divide(divide(X1,X1),divide(X2,X2))),
    inference(scs_inference,[],[i_0_117,i_0_8,i_0_12]) ).

cnf(i_0_120,plain,
    inverse(X1) = divide(divide(X2,X2),X1),
    inference(rename_variables,[],[i_0_8]) ).

cnf(i_0_121,plain,
    multiply(inverse(b2),b2) != inverse(divide(divide(X1,X1),identity)),
    inference(scs_inference,[],[i_0_102,i_0_8,i_0_12]) ).

cnf(i_0_122,plain,
    inverse(X1) = divide(divide(X2,X2),X1),
    inference(rename_variables,[],[i_0_8]) ).

cnf(i_0_123,plain,
    multiply(inverse(b2),b2) != divide(divide(identity,X1),divide(divide(X2,X2),X1)),
    inference(rename_variables,[],[i_0_102]) ).

cnf(i_0_124,plain,
    multiply(inverse(b2),b2) != multiply(divide(divide(X1,X1),X2),X2),
    inference(scs_inference,[],[i_0_90,i_0_80,i_0_12]) ).

cnf(i_0_125,plain,
    multiply(divide(X1,X2),X2) = X1,
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_126,plain,
    $false,
    inference(scs_inference,[],[i_0_90,i_0_80,i_0_8,i_0_12,i_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP538-1 : TPTP v9.2.1. Released v2.6.0.
% 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
% 0.14/0.33  % Computer : n011.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon May  4 18:41:32 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 0.89/1.62  % Version  : CSE_E---1.7
% 0.89/1.62  % Problem  : theBenchmark.p
% 0.89/1.62  % SZS status Unsatisfiable for theBenchmark.p
% 0.89/1.62  % SZS output start CNFRefutation
% See solution above
% 0.99/1.76  % Total time : 1.273s
%------------------------------------------------------------------------------