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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN616-1 : 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 : n015.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 05:39:45 PM UTC 2026

% Result   : Unsatisfiable 49.32s 25.67s
% Output   : CNFRefutation 49.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   32
% Syntax   : Number of clauses     :  124 (  57 unt;   0 nHn;  97 RR)
%            Number of literals    :  264 (   0 equ; 154 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-3 aty)
%            Number of variables   :  226 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p14_30,negated_conjecture,
    ~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p14_30) ).

cnf(p14_29,negated_conjecture,
    p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_29) ).

cnf(p2_32,negated_conjecture,
    ( p2(f11(X1,X2,X3),f11(X4,X5,X6))
    | ~ p2(X3,X6)
    | ~ p9(X1,X4)
    | ~ p10(X2,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_32) ).

cnf(p14_31,negated_conjecture,
    ( p14(X1,X2,X3)
    | ~ p2(X4,X3)
    | ~ p2(X5,X2)
    | ~ p2(X6,X1)
    | ~ p14(X6,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_31) ).

cnf(p14_25,negated_conjecture,
    p14(f7(c22,f8(c21,f3(f5(c20)))),f3(f5(c20)),f6(c21)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_25) ).

cnf(p2_19,negated_conjecture,
    p2(f11(c23,c24,f3(f5(c20))),f8(c21,f3(f5(c20)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).

cnf(p15_20,negated_conjecture,
    ( p15(X1,c24)
    | ~ p17(X1)
    | ~ p16(X1,f8(c21,f3(f5(c20)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_20) ).

cnf(p2_27,negated_conjecture,
    ( p2(f12(X1,X2),f12(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_27) ).

cnf(p2_28,negated_conjecture,
    ( p2(f7(X1,X2),f7(X3,X4))
    | ~ p2(X2,X4)
    | ~ p2(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).

cnf(p2_26,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).

cnf(p16_23,negated_conjecture,
    ( p16(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X4,X2)
    | ~ p16(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).

cnf(p13_21,negated_conjecture,
    ( p13(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X4,X2)
    | ~ p13(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_21) ).

cnf(p15_24,negated_conjecture,
    ( p15(X1,X2)
    | ~ p15(X3,X4)
    | ~ p2(X3,X1)
    | ~ p10(X4,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_24) ).

cnf(p19_22,negated_conjecture,
    ( p19(X1,X2)
    | ~ p18(X3,X1)
    | ~ p19(X3,X4)
    | ~ p10(X4,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_22) ).

cnf(p18_18,negated_conjecture,
    ( p18(X1,X2)
    | ~ p18(X3,X1)
    | ~ p18(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_18) ).

cnf(p2_17,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).

cnf(p9_16,negated_conjecture,
    ( p9(X1,X2)
    | ~ p9(X3,X1)
    | ~ p9(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_16) ).

cnf(p10_15,negated_conjecture,
    ( p10(X1,X2)
    | ~ p10(X3,X1)
    | ~ p10(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_15) ).

cnf(p2_11,negated_conjecture,
    ( p2(f6(X1),f6(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).

cnf(p2_12,negated_conjecture,
    ( p2(f3(X1),f3(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

cnf(p2_13,negated_conjecture,
    ( p2(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).

cnf(p2_14,negated_conjecture,
    ( p2(f5(X1),f5(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).

cnf(p13_9,negated_conjecture,
    p13(f3(f4(f5(c20))),c21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_9) ).

cnf(p17_10,negated_conjecture,
    ( p17(X1)
    | ~ p17(X2)
    | ~ p2(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_10) ).

cnf(not_p15_8,negated_conjecture,
    ~ p15(c25,c27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_8) ).

cnf(p18_5,negated_conjecture,
    p18(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_5) ).

cnf(p2_4,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

cnf(p9_3,negated_conjecture,
    p9(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_3) ).

cnf(p10_2,negated_conjecture,
    p10(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_2) ).

cnf(p19_6,negated_conjecture,
    p19(c26,c27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_6) ).

cnf(p2_7,negated_conjecture,
    p2(c25,c28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

cnf(c28_is_p17_1,negated_conjecture,
    p17(c28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c28_is_p17_1) ).

cnf(i_0_32,negated_conjecture,
    ~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
    not_p14_30,
    [final] ).

cnf(i_0_33,negated_conjecture,
    p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
    p14_29,
    [final] ).

cnf(i_0_34,negated_conjecture,
    ( p2(f11(X1,X2,X3),f11(X4,X5,X6))
    | ~ p2(X3,X6)
    | ~ p9(X1,X4)
    | ~ p10(X2,X5) ),
    p2_32,
    [final] ).

cnf(i_0_35,negated_conjecture,
    ( p14(X1,X2,X3)
    | ~ p2(X4,X3)
    | ~ p2(X5,X2)
    | ~ p2(X6,X1)
    | ~ p14(X6,X5,X4) ),
    p14_31,
    [final] ).

cnf(i_0_36,negated_conjecture,
    p14(f7(c22,f8(c21,f3(f5(c20)))),f3(f5(c20)),f6(c21)),
    p14_25,
    [final] ).

cnf(i_0_37,negated_conjecture,
    p2(f11(c23,c24,f3(f5(c20))),f8(c21,f3(f5(c20)))),
    p2_19,
    [final] ).

cnf(i_0_38,negated_conjecture,
    ( p15(X1,c24)
    | ~ p17(X1)
    | ~ p16(X1,f8(c21,f3(f5(c20)))) ),
    p15_20,
    [final] ).

cnf(i_0_39,negated_conjecture,
    ( p2(f12(X1,X2),f12(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    p2_27,
    [final] ).

cnf(i_0_40,negated_conjecture,
    ( p2(f7(X1,X2),f7(X3,X4))
    | ~ p2(X2,X4)
    | ~ p2(X1,X3) ),
    p2_28,
    [final] ).

cnf(i_0_41,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    p2_26,
    [final] ).

cnf(i_0_42,negated_conjecture,
    ( p16(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X4,X2)
    | ~ p16(X3,X4) ),
    p16_23,
    [final] ).

cnf(i_0_43,negated_conjecture,
    ( p13(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X4,X2)
    | ~ p13(X3,X4) ),
    p13_21,
    [final] ).

cnf(i_0_44,negated_conjecture,
    ( p15(X1,X2)
    | ~ p15(X3,X4)
    | ~ p2(X3,X1)
    | ~ p10(X4,X2) ),
    p15_24,
    [final] ).

cnf(i_0_45,negated_conjecture,
    ( p19(X1,X2)
    | ~ p18(X3,X1)
    | ~ p19(X3,X4)
    | ~ p10(X4,X2) ),
    p19_22,
    [final] ).

cnf(i_0_46,negated_conjecture,
    ( p18(X1,X2)
    | ~ p18(X3,X1)
    | ~ p18(X3,X2) ),
    p18_18,
    [final] ).

cnf(i_0_47,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    p2_17,
    [final] ).

cnf(i_0_48,negated_conjecture,
    ( p9(X1,X2)
    | ~ p9(X3,X1)
    | ~ p9(X3,X2) ),
    p9_16,
    [final] ).

cnf(i_0_49,negated_conjecture,
    ( p10(X1,X2)
    | ~ p10(X3,X1)
    | ~ p10(X3,X2) ),
    p10_15,
    [final] ).

cnf(i_0_50,negated_conjecture,
    ( p2(f6(X1),f6(X2))
    | ~ p2(X1,X2) ),
    p2_11,
    [final] ).

cnf(i_0_51,negated_conjecture,
    ( p2(f3(X1),f3(X2))
    | ~ p2(X1,X2) ),
    p2_12,
    [final] ).

cnf(i_0_52,negated_conjecture,
    ( p2(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    p2_13,
    [final] ).

cnf(i_0_53,negated_conjecture,
    ( p2(f5(X1),f5(X2))
    | ~ p2(X1,X2) ),
    p2_14,
    [final] ).

cnf(i_0_54,negated_conjecture,
    p13(f3(f4(f5(c20))),c21),
    p13_9,
    [final] ).

cnf(i_0_55,negated_conjecture,
    ( p17(X1)
    | ~ p17(X2)
    | ~ p2(X2,X1) ),
    p17_10,
    [final] ).

cnf(i_0_56,negated_conjecture,
    ~ p15(c25,c27),
    not_p15_8,
    [final] ).

cnf(i_0_57,negated_conjecture,
    p18(X1,X1),
    p18_5,
    [final] ).

cnf(i_0_58,negated_conjecture,
    p2(X1,X1),
    p2_4,
    [final] ).

cnf(i_0_59,negated_conjecture,
    p9(X1,X1),
    p9_3,
    [final] ).

cnf(i_0_60,negated_conjecture,
    p10(X1,X1),
    p10_2,
    [final] ).

cnf(i_0_61,negated_conjecture,
    p19(c26,c27),
    p19_6,
    [final] ).

cnf(i_0_62,negated_conjecture,
    p2(c25,c28),
    p2_7,
    [final] ).

cnf(i_0_63,negated_conjecture,
    p17(c28),
    c28_is_p17_1,
    [final] ).

cnf(i_0_64,plain,
    ( p17(f8(c21,f3(f5(c20))))
    | ~ p17(f11(c23,c24,f3(f5(c20)))) ),
    inference(scs_inference,[],[i_0_37,i_0_55]) ).

cnf(i_0_65,plain,
    ( ~ p2(X1,X2)
    | p17(X2)
    | ~ p17(X1) ),
    inference(rename_variables,[],[i_0_55]) ).

cnf(i_0_66,plain,
    ( p13(f3(f4(f5(c20))),X1)
    | ~ p2(c21,X1) ),
    inference(scs_inference,[],[i_0_58,i_0_37,i_0_54,i_0_55,i_0_43]) ).

cnf(i_0_67,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_68,plain,
    ( ~ p13(X1,X2)
    | p13(X3,X4)
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_69,plain,
    ( p15(c28,X1)
    | ~ p15(c25,X1) ),
    inference(scs_inference,[],[i_0_58,i_0_60,i_0_62,i_0_37,i_0_54,i_0_55,i_0_43,i_0_44]) ).

cnf(i_0_70,plain,
    ( ~ p2(X1,X2)
    | ~ p10(X3,X4)
    | p15(X2,X4)
    | ~ p15(X1,X3) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_71,plain,
    ( p15(f8(c21,f3(f5(c20))),X1)
    | ~ p15(f11(c23,c24,f3(f5(c20))),X1) ),
    inference(scs_inference,[],[i_0_60,i_0_37,i_0_44]) ).

cnf(i_0_72,plain,
    ( ~ p2(X1,X2)
    | ~ p10(X3,X4)
    | p15(X2,X4)
    | ~ p15(X1,X3) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_73,plain,
    p2(c28,c25),
    inference(scs_inference,[],[i_0_62,i_0_58,i_0_47]) ).

cnf(i_0_74,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_75,plain,
    ( ~ p2(X1,X2)
    | p2(X3,X2)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_47]) ).

cnf(i_0_76,plain,
    p17(c25),
    inference(scs_inference,[],[i_0_62,i_0_58,i_0_63,i_0_47,i_0_55]) ).

cnf(i_0_77,plain,
    ( ~ p2(X1,X2)
    | p17(X2)
    | ~ p17(X1) ),
    inference(rename_variables,[],[i_0_55]) ).

cnf(i_0_78,plain,
    ~ p15(c28,c27),
    inference(scs_inference,[],[i_0_62,i_0_58,i_0_60,i_0_56,i_0_63,i_0_47,i_0_55,i_0_44]) ).

cnf(i_0_79,plain,
    p10(X1,X1),
    inference(rename_variables,[],[i_0_60]) ).

cnf(i_0_80,plain,
    ( ~ p2(X1,X2)
    | ~ p10(X3,X4)
    | p15(X2,X4)
    | ~ p15(X1,X3) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_81,plain,
    p2(f8(c21,f3(f5(c20))),f11(c23,c24,f3(f5(c20)))),
    inference(scs_inference,[],[i_0_37,i_0_58,i_0_47]) ).

cnf(i_0_82,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_83,plain,
    ( ~ p2(X1,X2)
    | p2(X3,X2)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_47]) ).

cnf(i_0_84,plain,
    ( p17(f11(c23,c24,f3(f5(c20))))
    | ~ p17(f8(c21,f3(f5(c20)))) ),
    inference(scs_inference,[],[i_0_37,i_0_58,i_0_47,i_0_55]) ).

cnf(i_0_85,plain,
    ( ~ p2(X1,X2)
    | p17(X2)
    | ~ p17(X1) ),
    inference(rename_variables,[],[i_0_55]) ).

cnf(i_0_86,plain,
    ( p17(f8(c21,f3(f5(c20))))
    | ~ p17(f8(c21,f3(f5(c20)))) ),
    inference(scs_inference,[],[i_0_37,i_0_58,i_0_47,i_0_55,i_0_85]) ).

cnf(i_0_87,plain,
    ( ~ p2(X1,X2)
    | p17(X2)
    | ~ p17(X1) ),
    inference(rename_variables,[],[i_0_55]) ).

cnf(i_0_88,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_90,plain,
    ( p15(f11(c23,c24,f3(f5(c20))),X1)
    | ~ p15(f8(c21,f3(f5(c20))),X1) ),
    inference(scs_inference,[],[i_0_81,i_0_60,i_0_44]) ).

cnf(i_0_91,plain,
    ( ~ p2(X1,X2)
    | ~ p10(X3,X4)
    | p15(X2,X4)
    | ~ p15(X1,X3) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_92,plain,
    ( p15(f8(c21,f3(f5(c20))),X1)
    | ~ p15(f8(c21,f3(f5(c20))),X1) ),
    inference(scs_inference,[],[i_0_37,i_0_81,i_0_60,i_0_44,i_0_91]) ).

cnf(i_0_93,plain,
    ( ~ p2(X1,X2)
    | ~ p10(X3,X4)
    | p15(X2,X4)
    | ~ p15(X1,X3) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_94,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_96,plain,
    ( ~ p2(f3(f5(c20)),f3(f5(c20)))
    | ~ p2(f7(c22,f8(c21,f3(f5(c20)))),f7(c22,f12(f8(c21,f3(f5(c20))),c28))) ),
    inference(scs_inference,[],[i_0_32,i_0_58,i_0_36,i_0_35]) ).

cnf(i_0_97,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_98,plain,
    ( ~ p14(X1,X2,X3)
    | p14(X4,X5,X6)
    | ~ p2(X3,X6)
    | ~ p2(X2,X5)
    | ~ p2(X1,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_99,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_100,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_101,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_103,plain,
    ~ p2(f7(c22,f8(c21,f3(f5(c20)))),f7(c22,f12(f8(c21,f3(f5(c20))),c28))),
    inference(scs_inference,[],[i_0_58,i_0_96]) ).

cnf(i_0_104,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_105,plain,
    ~ p2(f8(c21,f3(f5(c20))),f12(f8(c21,f3(f5(c20))),c28)),
    inference(scs_inference,[],[i_0_58,i_0_104,i_0_96,i_0_40]) ).

cnf(i_0_106,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_107,plain,
    ( p2(f7(X1,X2),f7(X3,X4))
    | ~ p2(X2,X4)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_108,plain,
    ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f7(c22,f8(c21,f3(f5(c20))))),
    inference(scs_inference,[],[i_0_58,i_0_104,i_0_106,i_0_96,i_0_40,i_0_47]) ).

cnf(i_0_109,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_110,plain,
    ( ~ p2(X1,X2)
    | p2(X3,X2)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_47]) ).

cnf(i_0_111,plain,
    ( ~ p2(f3(f5(c20)),f3(f5(c20)))
    | ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28))) ),
    inference(scs_inference,[],[i_0_32,i_0_58,i_0_104,i_0_106,i_0_109,i_0_33,i_0_96,i_0_40,i_0_47,i_0_35]) ).

cnf(i_0_112,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_113,plain,
    ( ~ p14(X1,X2,X3)
    | p14(X4,X5,X6)
    | ~ p2(X3,X6)
    | ~ p2(X2,X5)
    | ~ p2(X1,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_114,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_115,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_117,plain,
    ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f7(c22,f12(f8(c21,f3(f5(c20))),c28))),
    inference(scs_inference,[],[i_0_58,i_0_111]) ).

cnf(i_0_118,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_119,plain,
    ~ p2(f12(f8(c21,f3(f5(c20))),c28),f8(c21,f3(f5(c20)))),
    inference(scs_inference,[],[i_0_58,i_0_118,i_0_108,i_0_111,i_0_40]) ).

cnf(i_0_120,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_121,plain,
    ( p2(f7(X1,X2),f7(X3,X4))
    | ~ p2(X2,X4)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_122,plain,
    ~ p2(f11(c23,c24,f3(f5(c20))),f12(f8(c21,f3(f5(c20))),c28)),
    inference(scs_inference,[],[i_0_37,i_0_58,i_0_118,i_0_108,i_0_111,i_0_40,i_0_47]) ).

cnf(i_0_123,plain,
    ( ~ p2(X1,X2)
    | p2(X3,X2)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_47]) ).

cnf(i_0_124,plain,
    ~ p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28)),
    inference(scs_inference,[],[i_0_117,i_0_58,i_0_40]) ).

cnf(i_0_125,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_58]) ).

cnf(i_0_126,plain,
    ( p2(f7(X1,X2),f7(X3,X4))
    | ~ p2(X2,X4)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_127,plain,
    $false,
    inference(scs_inference,[],[i_0_117,i_0_62,i_0_58,i_0_125,i_0_40,i_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN616-1 : 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
% 0.15/0.33  % Computer : n015.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 08:41:47 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 49.32/25.67  % Version  : CSE_E---1.7
% 49.32/25.67  % Problem  : theBenchmark.p
% 49.32/25.67  % SZS status Unsatisfiable for theBenchmark.p
% 49.32/25.67  % SZS output start CNFRefutation
% See solution above
% 49.45/25.76  % Total time : 25.321s
%------------------------------------------------------------------------------