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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR039-10 : TPTP v9.2.1. Released v7.3.0.
% 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 : n006.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 04:14:17 PM UTC 2026

% Result   : Unsatisfiable 8.95s 6.01s
% Output   : CNFRefutation 9.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   34
% Syntax   : Number of clauses     :  122 ( 122 unt;   0 nHn;  86 RR)
%            Number of literals    :  122 ( 121 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   35 (  35 usr;  31 con; 0-4 aty)
%            Number of variables   :   54 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ax1_1121,axiom,
    ifeq4(genls(X1,X2),true,ifeq4(disjointwith(X3,X2),true,disjointwith(X3,X1),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1121) ).

cnf(ax1_145,axiom,
    genls(c_tptpcol_2_2,c_tptpcol_1_1) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_145) ).

cnf(ifeq_axiom,axiom,
    ifeq4(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(ax1_1120,axiom,
    ifeq4(disjointwith(X1,X2),true,disjointwith(X2,X1),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1120) ).

cnf(ax1_152,axiom,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_152) ).

cnf(ax1_385,axiom,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_385) ).

cnf(ax1_285,axiom,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_285) ).

cnf(ax1_23,axiom,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_23) ).

cnf(ax1_351,axiom,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_351) ).

cnf(ax1_483,axiom,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_483) ).

cnf(ax1_353,axiom,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_353) ).

cnf(ax1_255,axiom,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_255) ).

cnf(ax1_43,axiom,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_43) ).

cnf(ax1_175,axiom,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_175) ).

cnf(ax1_109,axiom,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_109) ).

cnf(ax1_208,axiom,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_208) ).

cnf(ax1_1122,axiom,
    ifeq4(genls(X1,X2),true,ifeq4(disjointwith(X2,X3),true,disjointwith(X1,X3),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1122) ).

cnf(ax1_348,axiom,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_348) ).

cnf(ax1_41,axiom,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_41) ).

cnf(ax1_376,axiom,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_376) ).

cnf(ax1_476,axiom,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_476) ).

cnf(ax1_417,axiom,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_417) ).

cnf(ax1_14,axiom,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_14) ).

cnf(ax1_345,axiom,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_345) ).

cnf(ax1_370,axiom,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_370) ).

cnf(ax1_379,axiom,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_379) ).

cnf(ax1_372,axiom,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_372) ).

cnf(ax1_72,axiom,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_72) ).

cnf(ax1_78,axiom,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_78) ).

cnf(ax1_191,axiom,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_191) ).

cnf(ax1_182,axiom,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_182) ).

cnf(query89_1,negated_conjecture,
    ifeq3(disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),true,a,b) = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query89_1) ).

cnf(ifeq_axiom_001,axiom,
    ifeq3(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).

cnf(goal,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

cnf(c_0_34,axiom,
    ifeq4(genls(X1,X2),true,ifeq4(disjointwith(X3,X2),true,disjointwith(X3,X1),true),true) = true,
    ax1_1121 ).

cnf(c_0_35,axiom,
    genls(c_tptpcol_2_2,c_tptpcol_1_1) = true,
    ax1_145 ).

cnf(c_0_36,axiom,
    ifeq4(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_37,axiom,
    ifeq4(disjointwith(X1,X2),true,disjointwith(X2,X1),true) = true,
    ax1_1120 ).

cnf(c_0_38,axiom,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536) = true,
    ax1_152 ).

cnf(c_0_39,axiom,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2) = true,
    ax1_385 ).

cnf(c_0_40,plain,
    ifeq4(disjointwith(X1,c_tptpcol_1_1),true,disjointwith(X1,c_tptpcol_2_2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_41,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_36]) ).

cnf(c_0_42,axiom,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386) = true,
    ax1_285 ).

cnf(c_0_43,plain,
    ifeq4(disjointwith(X1,c_tptpcol_2_2),true,disjointwith(X1,c_tptpcol_3_16386),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39]),c_0_36]) ).

cnf(c_0_44,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_2_2) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_36]) ).

cnf(c_0_45,axiom,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387) = true,
    ax1_23 ).

cnf(c_0_46,plain,
    ifeq4(disjointwith(X1,c_tptpcol_3_16386),true,disjointwith(X1,c_tptpcol_4_16387),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_42]),c_0_36]) ).

cnf(c_0_47,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_3_16386) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36]) ).

cnf(c_0_48,axiom,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388) = true,
    ax1_351 ).

cnf(c_0_49,plain,
    ifeq4(disjointwith(X1,c_tptpcol_4_16387),true,disjointwith(X1,c_tptpcol_5_16388),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_36]) ).

cnf(c_0_50,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_4_16387) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_36]) ).

cnf(c_0_51,axiom,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436) = true,
    ax1_483 ).

cnf(c_0_52,plain,
    ifeq4(disjointwith(X1,c_tptpcol_5_16388),true,disjointwith(X1,c_tptpcol_6_18436),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_48]),c_0_36]) ).

cnf(c_0_53,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_5_16388) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_36]) ).

cnf(c_0_54,axiom,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437) = true,
    ax1_353 ).

cnf(c_0_55,plain,
    ifeq4(disjointwith(X1,c_tptpcol_6_18436),true,disjointwith(X1,c_tptpcol_7_18437),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_51]),c_0_36]) ).

cnf(c_0_56,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_6_18436) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_36]) ).

cnf(c_0_57,axiom,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438) = true,
    ax1_255 ).

cnf(c_0_58,plain,
    ifeq4(disjointwith(X1,c_tptpcol_7_18437),true,disjointwith(X1,c_tptpcol_8_18438),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_54]),c_0_36]) ).

cnf(c_0_59,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_7_18437) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_36]) ).

cnf(c_0_60,axiom,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439) = true,
    ax1_43 ).

cnf(c_0_61,plain,
    ifeq4(disjointwith(X1,c_tptpcol_8_18438),true,disjointwith(X1,c_tptpcol_9_18439),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_57]),c_0_36]) ).

cnf(c_0_62,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_8_18438) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_36]) ).

cnf(c_0_63,axiom,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567) = true,
    ax1_175 ).

cnf(c_0_64,plain,
    ifeq4(disjointwith(X1,c_tptpcol_9_18439),true,disjointwith(X1,c_tptpcol_10_18567),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_60]),c_0_36]) ).

cnf(c_0_65,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_9_18439) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_36]) ).

cnf(c_0_66,axiom,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631) = true,
    ax1_109 ).

cnf(c_0_67,plain,
    ifeq4(disjointwith(X1,c_tptpcol_10_18567),true,disjointwith(X1,c_tptpcol_11_18631),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_63]),c_0_36]) ).

cnf(c_0_68,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_10_18567) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_36]) ).

cnf(c_0_69,axiom,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663) = true,
    ax1_208 ).

cnf(c_0_70,plain,
    ifeq4(disjointwith(X1,c_tptpcol_11_18631),true,disjointwith(X1,c_tptpcol_12_18663),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_66]),c_0_36]) ).

cnf(c_0_71,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_11_18631) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_36]) ).

cnf(c_0_72,axiom,
    ifeq4(genls(X1,X2),true,ifeq4(disjointwith(X2,X3),true,disjointwith(X1,X3),true),true) = true,
    ax1_1122 ).

cnf(c_0_73,axiom,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536) = true,
    ax1_348 ).

cnf(c_0_74,plain,
    ifeq4(disjointwith(X1,c_tptpcol_12_18663),true,disjointwith(X1,c_tptpcol_13_18664),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_69]),c_0_36]) ).

cnf(c_0_75,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_12_18663) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_36]) ).

cnf(c_0_76,axiom,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537) = true,
    ax1_41 ).

cnf(c_0_77,plain,
    ifeq4(disjointwith(c_tptpcol_1_65536,X1),true,disjointwith(c_tptpcol_2_65537,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_36]) ).

cnf(c_0_78,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_36]) ).

cnf(c_0_79,axiom,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921) = true,
    ax1_376 ).

cnf(c_0_80,plain,
    ifeq4(disjointwith(c_tptpcol_2_65537,X1),true,disjointwith(c_tptpcol_3_81921,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_76]),c_0_36]) ).

cnf(c_0_81,plain,
    disjointwith(c_tptpcol_2_65537,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_36]) ).

cnf(c_0_82,axiom,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113) = true,
    ax1_476 ).

cnf(c_0_83,plain,
    ifeq4(disjointwith(c_tptpcol_3_81921,X1),true,disjointwith(c_tptpcol_4_90113,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_79]),c_0_36]) ).

cnf(c_0_84,plain,
    disjointwith(c_tptpcol_3_81921,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_36]) ).

cnf(c_0_85,axiom,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114) = true,
    ax1_417 ).

cnf(c_0_86,plain,
    ifeq4(disjointwith(c_tptpcol_4_90113,X1),true,disjointwith(c_tptpcol_5_90114,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_82]),c_0_36]) ).

cnf(c_0_87,plain,
    disjointwith(c_tptpcol_4_90113,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_36]) ).

cnf(c_0_88,axiom,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162) = true,
    ax1_14 ).

cnf(c_0_89,plain,
    ifeq4(disjointwith(c_tptpcol_5_90114,X1),true,disjointwith(c_tptpcol_6_92162,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_85]),c_0_36]) ).

cnf(c_0_90,plain,
    disjointwith(c_tptpcol_5_90114,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_36]) ).

cnf(c_0_91,axiom,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186) = true,
    ax1_345 ).

cnf(c_0_92,plain,
    ifeq4(disjointwith(c_tptpcol_6_92162,X1),true,disjointwith(c_tptpcol_7_93186,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_88]),c_0_36]) ).

cnf(c_0_93,plain,
    disjointwith(c_tptpcol_6_92162,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_36]) ).

cnf(c_0_94,axiom,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698) = true,
    ax1_370 ).

cnf(c_0_95,plain,
    ifeq4(disjointwith(c_tptpcol_7_93186,X1),true,disjointwith(c_tptpcol_8_93698,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_91]),c_0_36]) ).

cnf(c_0_96,plain,
    disjointwith(c_tptpcol_7_93186,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_36]) ).

cnf(c_0_97,axiom,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699) = true,
    ax1_379 ).

cnf(c_0_98,plain,
    ifeq4(disjointwith(c_tptpcol_8_93698,X1),true,disjointwith(c_tptpcol_9_93699,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_94]),c_0_36]) ).

cnf(c_0_99,plain,
    disjointwith(c_tptpcol_8_93698,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_36]) ).

cnf(c_0_100,axiom,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700) = true,
    ax1_372 ).

cnf(c_0_101,plain,
    ifeq4(disjointwith(c_tptpcol_9_93699,X1),true,disjointwith(c_tptpcol_10_93700,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_97]),c_0_36]) ).

cnf(c_0_102,plain,
    disjointwith(c_tptpcol_9_93699,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_36]) ).

cnf(c_0_103,axiom,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764) = true,
    ax1_72 ).

cnf(c_0_104,plain,
    ifeq4(disjointwith(c_tptpcol_10_93700,X1),true,disjointwith(c_tptpcol_11_93764,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_100]),c_0_36]) ).

cnf(c_0_105,plain,
    disjointwith(c_tptpcol_10_93700,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_36]) ).

cnf(c_0_106,axiom,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765) = true,
    ax1_78 ).

cnf(c_0_107,plain,
    ifeq4(disjointwith(c_tptpcol_11_93764,X1),true,disjointwith(c_tptpcol_12_93765,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_103]),c_0_36]) ).

cnf(c_0_108,plain,
    disjointwith(c_tptpcol_11_93764,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_36]) ).

cnf(c_0_109,axiom,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766) = true,
    ax1_191 ).

cnf(c_0_110,plain,
    ifeq4(disjointwith(c_tptpcol_12_93765,X1),true,disjointwith(c_tptpcol_13_93766,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_106]),c_0_36]) ).

cnf(c_0_111,plain,
    disjointwith(c_tptpcol_12_93765,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_36]) ).

cnf(c_0_112,axiom,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774) = true,
    ax1_182 ).

cnf(c_0_113,plain,
    ifeq4(disjointwith(c_tptpcol_13_93766,X1),true,disjointwith(c_tptpcol_14_93774,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_109]),c_0_36]) ).

cnf(c_0_114,plain,
    disjointwith(c_tptpcol_13_93766,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_36]) ).

cnf(c_0_115,plain,
    ifeq4(disjointwith(c_tptpcol_14_93774,X1),true,disjointwith(c_tptpcol_15_93775,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_112]),c_0_36]) ).

cnf(c_0_116,plain,
    disjointwith(c_tptpcol_14_93774,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_36]) ).

cnf(c_0_117,negated_conjecture,
    ifeq3(disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),true,a,b) = b,
    query89_1 ).

cnf(c_0_118,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_36]) ).

cnf(c_0_119,axiom,
    ifeq3(X1,X1,X2,X3) = X2,
    ifeq_axiom_001 ).

cnf(c_0_120,negated_conjecture,
    a != b,
    goal ).

cnf(c_0_121,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_120]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR039-10 : TPTP v9.2.1. Released v7.3.0.
% 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 : n006.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 16:30:01 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 8.95/6.01  % Version  : CSE_E---1.7
% 8.95/6.01  % Problem  : theBenchmark.p
% 8.95/6.01  % SZS status Unsatisfiable for theBenchmark.p
% 8.95/6.01  % SZS output start CNFRefutation
% See solution above
% 9.07/6.05  % Total time : 4.427s
%------------------------------------------------------------------------------