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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN597-1 : 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 : n031.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 05:39:43 PM UTC 2026

% Result   : Unsatisfiable 59.45s 30.67s
% Output   : CNFRefutation 61.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   28
% Syntax   : Number of clauses     :  900 ( 333 unt;   0 nHn; 770 RR)
%            Number of literals    : 1875 (   0 equ; 982 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   : 1802 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_p18_22,negated_conjecture,
    ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_22) ).

cnf(p10_28,negated_conjecture,
    ( p10(f11(X1,X2,X3),f11(X4,X5,X6))
    | ~ p2(X1,X4)
    | ~ p9(X2,X5)
    | ~ p10(X3,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_28) ).

cnf(p18_21,negated_conjecture,
    p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_21) ).

cnf(p12_27,negated_conjecture,
    ( p12(f14(X1,X2),f14(X3,X4))
    | ~ p3(X1,X3)
    | ~ p3(X2,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_27) ).

cnf(p2_26,negated_conjecture,
    ( p2(f13(X1,X2),f13(X3,X4))
    | ~ p12(X2,X4)
    | ~ p3(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).

cnf(p18_24,negated_conjecture,
    ( p18(X1,X2)
    | ~ p18(X3,X4)
    | ~ p2(X3,X1)
    | ~ p10(X4,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).

cnf(p17_25,negated_conjecture,
    ( p17(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X4,X2)
    | ~ p17(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_25) ).

cnf(p16_23,negated_conjecture,
    ( p16(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X4,X2)
    | ~ p16(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).

cnf(p12_20,negated_conjecture,
    ( p12(X1,X2)
    | ~ p12(X3,X1)
    | ~ p12(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_20) ).

cnf(p2_19,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).

cnf(p3_18,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).

cnf(p9_17,negated_conjecture,
    ( p9(X1,X2)
    | ~ p9(X3,X1)
    | ~ p9(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_17) ).

cnf(p10_16,negated_conjecture,
    ( p10(X1,X2)
    | ~ p10(X3,X1)
    | ~ p10(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_16) ).

cnf(p3_11,negated_conjecture,
    ( p3(f15(X1),f15(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).

cnf(p3_12,negated_conjecture,
    ( p3(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).

cnf(p3_13,negated_conjecture,
    ( p3(f5(X1),f5(X2))
    | ~ p3(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).

cnf(p3_14,negated_conjecture,
    ( p3(f6(X1),f6(X2))
    | ~ p3(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).

cnf(p3_15,negated_conjecture,
    ( p3(f7(X1),f7(X2))
    | ~ p3(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).

cnf(p3_10,negated_conjecture,
    ( p3(f8(X1),f8(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_10) ).

cnf(p16_9,negated_conjecture,
    p16(f5(f6(f7(c19))),f4(c20)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_9) ).

cnf(p17_8,negated_conjecture,
    p17(c21,f8(c20)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_8) ).

cnf(p12_5,negated_conjecture,
    p12(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_5) ).

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

cnf(p3_3,negated_conjecture,
    p3(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).

cnf(p9_2,negated_conjecture,
    p9(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).

cnf(p10_1,negated_conjecture,
    p10(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).

cnf(p16_6,negated_conjecture,
    p16(c21,c22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_6) ).

cnf(p3_7,negated_conjecture,
    p3(c21,c22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).

cnf(i_0_28,negated_conjecture,
    ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
    not_p18_22,
    [final] ).

cnf(i_0_29,negated_conjecture,
    ( p10(f11(X1,X2,X3),f11(X4,X5,X6))
    | ~ p2(X1,X4)
    | ~ p9(X2,X5)
    | ~ p10(X3,X6) ),
    p10_28,
    [final] ).

cnf(i_0_30,negated_conjecture,
    p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
    p18_21,
    [final] ).

cnf(i_0_31,negated_conjecture,
    ( p12(f14(X1,X2),f14(X3,X4))
    | ~ p3(X1,X3)
    | ~ p3(X2,X4) ),
    p12_27,
    [final] ).

cnf(i_0_32,negated_conjecture,
    ( p2(f13(X1,X2),f13(X3,X4))
    | ~ p12(X2,X4)
    | ~ p3(X1,X3) ),
    p2_26,
    [final] ).

cnf(i_0_33,negated_conjecture,
    ( p18(X1,X2)
    | ~ p18(X3,X4)
    | ~ p2(X3,X1)
    | ~ p10(X4,X2) ),
    p18_24,
    [final] ).

cnf(i_0_34,negated_conjecture,
    ( p17(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X4,X2)
    | ~ p17(X3,X4) ),
    p17_25,
    [final] ).

cnf(i_0_35,negated_conjecture,
    ( p16(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X4,X2)
    | ~ p16(X3,X4) ),
    p16_23,
    [final] ).

cnf(i_0_36,negated_conjecture,
    ( p12(X1,X2)
    | ~ p12(X3,X1)
    | ~ p12(X3,X2) ),
    p12_20,
    [final] ).

cnf(i_0_37,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    p2_19,
    [final] ).

cnf(i_0_38,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    p3_18,
    [final] ).

cnf(i_0_39,negated_conjecture,
    ( p9(X1,X2)
    | ~ p9(X3,X1)
    | ~ p9(X3,X2) ),
    p9_17,
    [final] ).

cnf(i_0_40,negated_conjecture,
    ( p10(X1,X2)
    | ~ p10(X3,X1)
    | ~ p10(X3,X2) ),
    p10_16,
    [final] ).

cnf(i_0_41,negated_conjecture,
    ( p3(f15(X1),f15(X2))
    | ~ p2(X1,X2) ),
    p3_11,
    [final] ).

cnf(i_0_42,negated_conjecture,
    ( p3(f4(X1),f4(X2))
    | ~ p2(X1,X2) ),
    p3_12,
    [final] ).

cnf(i_0_43,negated_conjecture,
    ( p3(f5(X1),f5(X2))
    | ~ p3(X1,X2) ),
    p3_13,
    [final] ).

cnf(i_0_44,negated_conjecture,
    ( p3(f6(X1),f6(X2))
    | ~ p3(X1,X2) ),
    p3_14,
    [final] ).

cnf(i_0_45,negated_conjecture,
    ( p3(f7(X1),f7(X2))
    | ~ p3(X1,X2) ),
    p3_15,
    [final] ).

cnf(i_0_46,negated_conjecture,
    ( p3(f8(X1),f8(X2))
    | ~ p2(X1,X2) ),
    p3_10,
    [final] ).

cnf(i_0_47,negated_conjecture,
    p16(f5(f6(f7(c19))),f4(c20)),
    p16_9,
    [final] ).

cnf(i_0_48,negated_conjecture,
    p17(c21,f8(c20)),
    p17_8,
    [final] ).

cnf(i_0_49,negated_conjecture,
    p12(X1,X1),
    p12_5,
    [final] ).

cnf(i_0_50,negated_conjecture,
    p2(X1,X1),
    p2_4,
    [final] ).

cnf(i_0_51,negated_conjecture,
    p3(X1,X1),
    p3_3,
    [final] ).

cnf(i_0_52,negated_conjecture,
    p9(X1,X1),
    p9_2,
    [final] ).

cnf(i_0_53,negated_conjecture,
    p10(X1,X1),
    p10_1,
    [final] ).

cnf(i_0_54,negated_conjecture,
    p16(c21,c22),
    p16_6,
    [final] ).

cnf(i_0_55,negated_conjecture,
    p3(c21,c22),
    p3_7,
    [final] ).

cnf(i_0_56,plain,
    ( p17(c21,X1)
    | ~ p3(f8(c20),X1) ),
    inference(scs_inference,[],[i_0_51,i_0_48,i_0_34]) ).

cnf(i_0_57,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_58,plain,
    ( ~ p17(X1,X2)
    | p17(X3,X4)
    | ~ p3(X1,X3)
    | ~ p3(X2,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_59,plain,
    ( p16(c21,X1)
    | ~ p3(c22,X1) ),
    inference(scs_inference,[],[i_0_51,i_0_57,i_0_54,i_0_48,i_0_34,i_0_35]) ).

cnf(i_0_60,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_61,plain,
    ( ~ p16(X1,X2)
    | p16(X3,X4)
    | ~ p3(X1,X3)
    | ~ p3(X2,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_62,plain,
    p3(c22,c21),
    inference(scs_inference,[],[i_0_55,i_0_51,i_0_38]) ).

cnf(i_0_63,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_64,plain,
    ( ~ p3(X1,X2)
    | p3(X3,X2)
    | ~ p3(X1,X3) ),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_65,plain,
    p17(c22,f8(c20)),
    inference(scs_inference,[],[i_0_55,i_0_51,i_0_63,i_0_48,i_0_38,i_0_34]) ).

cnf(i_0_66,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_67,plain,
    ( ~ p17(X1,X2)
    | p17(X3,X4)
    | ~ p3(X1,X3)
    | ~ p3(X2,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_68,plain,
    p16(c22,c22),
    inference(scs_inference,[],[i_0_55,i_0_51,i_0_63,i_0_66,i_0_54,i_0_48,i_0_38,i_0_34,i_0_35]) ).

cnf(i_0_69,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_70,plain,
    ( ~ p16(X1,X2)
    | p16(X3,X4)
    | ~ p3(X1,X3)
    | ~ p3(X2,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_71,plain,
    p16(c21,c21),
    inference(scs_inference,[],[i_0_55,i_0_51,i_0_63,i_0_66,i_0_54,i_0_48,i_0_38,i_0_34,i_0_35,i_0_59]) ).

cnf(i_0_72,plain,
    ( ~ p3(c22,X1)
    | p16(c21,X1) ),
    inference(rename_variables,[],[i_0_59]) ).

cnf(i_0_73,plain,
    p16(c22,c21),
    inference(scs_inference,[],[i_0_62,i_0_55,i_0_54,i_0_35]) ).

cnf(i_0_74,plain,
    ( ~ p16(X1,X2)
    | p16(X3,X4)
    | ~ p3(X1,X3)
    | ~ p3(X2,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_75,plain,
    ( p16(f5(f6(f7(c19))),X1)
    | ~ p3(f4(c20),X1) ),
    inference(scs_inference,[],[i_0_47,i_0_51,i_0_35]) ).

cnf(i_0_76,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_77,plain,
    ( ~ p16(X1,X2)
    | p16(X3,X4)
    | ~ p3(X1,X3)
    | ~ p3(X2,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_78,plain,
    ( p17(c22,X1)
    | ~ p3(f8(c20),X1) ),
    inference(scs_inference,[],[i_0_51,i_0_65,i_0_34]) ).

cnf(i_0_79,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_80,plain,
    ( ~ p17(X1,X2)
    | p17(X3,X4)
    | ~ p3(X1,X3)
    | ~ p3(X2,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_81,plain,
    p3(f5(c22),f5(c21)),
    inference(scs_inference,[],[i_0_62,i_0_43]) ).

cnf(i_0_82,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_83,plain,
    p3(f6(c22),f6(c21)),
    inference(scs_inference,[],[i_0_62,i_0_43,i_0_44]) ).

cnf(i_0_84,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_85,plain,
    p3(f7(c22),f7(c21)),
    inference(scs_inference,[],[i_0_62,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_86,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_87,plain,
    p12(f14(c22,c22),f14(c21,c21)),
    inference(scs_inference,[],[i_0_62,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_88,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_89,plain,
    p2(f13(c22,X1),f13(c21,X1)),
    inference(scs_inference,[],[i_0_49,i_0_62,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_90,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_91,plain,
    p10(f11(f13(c22,X1),X2,X3),f11(f13(c21,X1),X2,X3)),
    inference(scs_inference,[],[i_0_49,i_0_52,i_0_53,i_0_62,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29]) ).

cnf(i_0_92,plain,
    ( ~ p2(X1,X2)
    | ~ p9(X3,X4)
    | ~ p10(X5,X6)
    | p10(f11(X1,X3,X5),f11(X2,X4,X6)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_93,plain,
    p3(f15(f13(c22,X1)),f15(f13(c21,X1))),
    inference(scs_inference,[],[i_0_49,i_0_52,i_0_53,i_0_62,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41]) ).

cnf(i_0_94,plain,
    ( ~ p2(X1,X2)
    | p3(f15(X1),f15(X2)) ),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_95,plain,
    p3(f4(f13(c22,X1)),f4(f13(c21,X1))),
    inference(scs_inference,[],[i_0_49,i_0_52,i_0_53,i_0_62,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42]) ).

cnf(i_0_96,plain,
    ( ~ p2(X1,X2)
    | p3(f4(X1),f4(X2)) ),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_97,plain,
    p3(f8(f13(c22,X1)),f8(f13(c21,X1))),
    inference(scs_inference,[],[i_0_49,i_0_52,i_0_53,i_0_62,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46]) ).

cnf(i_0_98,plain,
    ( ~ p2(X1,X2)
    | p3(f8(X1),f8(X2)) ),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_99,plain,
    ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
    inference(scs_inference,[],[i_0_28,i_0_30,i_0_49,i_0_50,i_0_52,i_0_53,i_0_62,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46,i_0_33]) ).

cnf(i_0_100,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_101,plain,
    ( p18(X1,X2)
    | ~ p18(X3,X4)
    | ~ p10(X4,X2)
    | ~ p2(X3,X1) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_102,plain,
    ( ~ p17(c22,c22)
    | p17(c21,c21) ),
    inference(scs_inference,[],[i_0_28,i_0_30,i_0_49,i_0_50,i_0_52,i_0_53,i_0_62,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46,i_0_33,i_0_34]) ).

cnf(i_0_103,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_104,plain,
    ( ~ p16(f5(c22),f5(c22))
    | p16(f5(c21),f5(c21)) ),
    inference(scs_inference,[],[i_0_28,i_0_30,i_0_49,i_0_50,i_0_52,i_0_53,i_0_62,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46,i_0_33,i_0_34,i_0_35]) ).

cnf(i_0_105,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_106,plain,
    p3(f5(f5(c22)),f5(f5(c21))),
    inference(scs_inference,[],[i_0_81,i_0_43]) ).

cnf(i_0_107,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_108,plain,
    p3(f6(f5(c22)),f6(f5(c21))),
    inference(scs_inference,[],[i_0_81,i_0_43,i_0_44]) ).

cnf(i_0_109,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_110,plain,
    p3(f7(f5(c22)),f7(f5(c21))),
    inference(scs_inference,[],[i_0_81,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_111,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_112,plain,
    p12(f14(f5(c22),f5(c22)),f14(f5(c21),f5(c21))),
    inference(scs_inference,[],[i_0_81,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_113,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_114,plain,
    p2(f13(f5(c22),f14(c22,c22)),f13(f5(c21),f14(c21,c21))),
    inference(scs_inference,[],[i_0_81,i_0_87,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_115,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_116,plain,
    p10(f11(f13(c22,X1),X2,f11(f13(c22,X3),X4,X5)),f11(f13(c21,X1),X2,f11(f13(c21,X3),X4,X5))),
    inference(scs_inference,[],[i_0_89,i_0_81,i_0_87,i_0_91,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29]) ).

cnf(i_0_117,plain,
    ( ~ p9(X1,X2)
    | ~ p10(X3,X4)
    | ~ p2(X5,X6)
    | p10(f11(X5,X1,X3),f11(X6,X2,X4)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_118,plain,
    p3(f15(f13(f5(c22),f14(c22,c22))),f15(f13(f5(c21),f14(c21,c21)))),
    inference(scs_inference,[],[i_0_89,i_0_81,i_0_87,i_0_91,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41]) ).

cnf(i_0_119,plain,
    ( ~ p2(X1,X2)
    | p3(f15(X1),f15(X2)) ),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_120,plain,
    p3(f4(f13(f5(c22),f14(c22,c22))),f4(f13(f5(c21),f14(c21,c21)))),
    inference(scs_inference,[],[i_0_89,i_0_81,i_0_87,i_0_91,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42]) ).

cnf(i_0_121,plain,
    ( ~ p2(X1,X2)
    | p3(f4(X1),f4(X2)) ),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_122,plain,
    p3(f8(f13(f5(c22),f14(c22,c22))),f8(f13(f5(c21),f14(c21,c21)))),
    inference(scs_inference,[],[i_0_89,i_0_81,i_0_87,i_0_91,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46]) ).

cnf(i_0_123,plain,
    ( ~ p2(X1,X2)
    | p3(f8(X1),f8(X2)) ),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_124,plain,
    ( p18(f13(c21,X1),f11(f13(c21,X2),X3,X4))
    | ~ p18(f13(c22,X1),f11(f13(c22,X2),X3,X4)) ),
    inference(scs_inference,[],[i_0_89,i_0_81,i_0_87,i_0_91,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46,i_0_33]) ).

cnf(i_0_125,plain,
    ( ~ p10(X1,X2)
    | ~ p18(X3,X1)
    | p18(X4,X2)
    | ~ p2(X3,X4) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_126,plain,
    ( ~ p17(f5(c22),f5(c22))
    | p17(f5(c21),f5(c21)) ),
    inference(scs_inference,[],[i_0_89,i_0_81,i_0_87,i_0_91,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46,i_0_33,i_0_34]) ).

cnf(i_0_127,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_128,plain,
    p3(f5(f5(f5(c22))),f5(f5(f5(c21)))),
    inference(scs_inference,[],[i_0_106,i_0_43]) ).

cnf(i_0_129,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_130,plain,
    p3(f6(f5(f5(c22))),f6(f5(f5(c21)))),
    inference(scs_inference,[],[i_0_106,i_0_43,i_0_44]) ).

cnf(i_0_131,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_132,plain,
    p3(f7(f5(f5(c22))),f7(f5(f5(c21)))),
    inference(scs_inference,[],[i_0_106,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_133,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_134,plain,
    p12(f14(f5(f5(c22)),f5(f5(c22))),f14(f5(f5(c21)),f5(f5(c21)))),
    inference(scs_inference,[],[i_0_106,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_135,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_136,plain,
    p2(f13(f5(f5(c22)),f14(f5(c22),f5(c22))),f13(f5(f5(c21)),f14(f5(c21),f5(c21)))),
    inference(scs_inference,[],[i_0_106,i_0_112,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_137,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_138,plain,
    p10(f11(f13(f5(c22),f14(c22,c22)),X1,f11(f13(c22,X2),X3,f11(f13(c22,X4),X5,X6))),f11(f13(f5(c21),f14(c21,c21)),X1,f11(f13(c21,X2),X3,f11(f13(c21,X4),X5,X6)))),
    inference(scs_inference,[],[i_0_114,i_0_106,i_0_112,i_0_116,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29]) ).

cnf(i_0_139,plain,
    ( ~ p10(X1,X2)
    | ~ p9(X3,X4)
    | ~ p2(X5,X6)
    | p10(f11(X5,X3,X1),f11(X6,X4,X2)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_140,plain,
    p3(f15(f13(f5(f5(c22)),f14(f5(c22),f5(c22)))),f15(f13(f5(f5(c21)),f14(f5(c21),f5(c21))))),
    inference(scs_inference,[],[i_0_114,i_0_106,i_0_112,i_0_116,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41]) ).

cnf(i_0_141,plain,
    ( ~ p2(X1,X2)
    | p3(f15(X1),f15(X2)) ),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_142,plain,
    p3(f4(f13(f5(f5(c22)),f14(f5(c22),f5(c22)))),f4(f13(f5(f5(c21)),f14(f5(c21),f5(c21))))),
    inference(scs_inference,[],[i_0_114,i_0_106,i_0_112,i_0_116,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42]) ).

cnf(i_0_143,plain,
    ( ~ p2(X1,X2)
    | p3(f4(X1),f4(X2)) ),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_144,plain,
    p3(f8(f13(f5(f5(c22)),f14(f5(c22),f5(c22)))),f8(f13(f5(f5(c21)),f14(f5(c21),f5(c21))))),
    inference(scs_inference,[],[i_0_114,i_0_106,i_0_112,i_0_116,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46]) ).

cnf(i_0_145,plain,
    ( ~ p2(X1,X2)
    | p3(f8(X1),f8(X2)) ),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_146,plain,
    ( ~ p16(f5(f5(c22)),f5(f5(c22)))
    | p16(f5(f5(c21)),f5(f5(c21))) ),
    inference(scs_inference,[],[i_0_114,i_0_106,i_0_112,i_0_116,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46,i_0_35]) ).

cnf(i_0_147,plain,
    ( ~ p3(X1,X2)
    | p16(X2,X3)
    | ~ p3(X4,X3)
    | ~ p16(X1,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_148,plain,
    p3(f5(f6(f5(c22))),f5(f6(f5(c21)))),
    inference(scs_inference,[],[i_0_108,i_0_43]) ).

cnf(i_0_149,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_150,plain,
    p3(f6(f6(f5(c22))),f6(f6(f5(c21)))),
    inference(scs_inference,[],[i_0_108,i_0_43,i_0_44]) ).

cnf(i_0_151,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_152,plain,
    p3(f7(f6(f5(c22))),f7(f6(f5(c21)))),
    inference(scs_inference,[],[i_0_108,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_153,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_154,plain,
    p12(f14(f6(f5(c22)),f6(f5(c22))),f14(f6(f5(c21)),f6(f5(c21)))),
    inference(scs_inference,[],[i_0_108,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_155,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_156,plain,
    p2(f13(f6(f5(c22)),f14(f5(c22),f5(c22))),f13(f6(f5(c21)),f14(f5(c21),f5(c21)))),
    inference(scs_inference,[],[i_0_108,i_0_112,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_157,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_158,plain,
    p10(f11(f13(f5(f5(c22)),f14(f5(c22),f5(c22))),X1,X2),f11(f13(f5(f5(c21)),f14(f5(c21),f5(c21))),X1,X2)),
    inference(scs_inference,[],[i_0_108,i_0_136,i_0_112,i_0_53,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29]) ).

cnf(i_0_159,plain,
    ( ~ p10(X1,X2)
    | ~ p9(X3,X4)
    | ~ p2(X5,X6)
    | p10(f11(X5,X3,X1),f11(X6,X4,X2)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_160,plain,
    p3(f15(f13(f6(f5(c22)),f14(f5(c22),f5(c22)))),f15(f13(f6(f5(c21)),f14(f5(c21),f5(c21))))),
    inference(scs_inference,[],[i_0_108,i_0_136,i_0_112,i_0_53,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41]) ).

cnf(i_0_161,plain,
    ( ~ p2(X1,X2)
    | p3(f15(X1),f15(X2)) ),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_162,plain,
    p3(f4(f13(f6(f5(c22)),f14(f5(c22),f5(c22)))),f4(f13(f6(f5(c21)),f14(f5(c21),f5(c21))))),
    inference(scs_inference,[],[i_0_108,i_0_136,i_0_112,i_0_53,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42]) ).

cnf(i_0_163,plain,
    ( ~ p2(X1,X2)
    | p3(f4(X1),f4(X2)) ),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_164,plain,
    p3(f8(f13(f6(f5(c22)),f14(f5(c22),f5(c22)))),f8(f13(f6(f5(c21)),f14(f5(c21),f5(c21))))),
    inference(scs_inference,[],[i_0_108,i_0_136,i_0_112,i_0_53,i_0_52,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_29,i_0_41,i_0_42,i_0_46]) ).

cnf(i_0_165,plain,
    ( ~ p2(X1,X2)
    | p3(f8(X1),f8(X2)) ),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_166,plain,
    p3(f5(f7(f5(c22))),f5(f7(f5(c21)))),
    inference(scs_inference,[],[i_0_110,i_0_43]) ).

cnf(i_0_167,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_168,plain,
    p3(f6(f7(f5(c22))),f6(f7(f5(c21)))),
    inference(scs_inference,[],[i_0_110,i_0_43,i_0_44]) ).

cnf(i_0_169,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_170,plain,
    p3(f7(f7(f5(c22))),f7(f7(f5(c21)))),
    inference(scs_inference,[],[i_0_110,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_171,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_172,plain,
    p12(f14(f7(f5(c22)),f7(f5(c22))),f14(f7(f5(c21)),f7(f5(c21)))),
    inference(scs_inference,[],[i_0_110,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_173,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_174,plain,
    p2(f13(f7(f5(c22)),f14(c22,c22)),f13(f7(f5(c21)),f14(c21,c21))),
    inference(scs_inference,[],[i_0_110,i_0_87,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_175,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_176,plain,
    p3(f15(f13(f7(f5(c22)),f14(c22,c22))),f15(f13(f7(f5(c21)),f14(c21,c21)))),
    inference(scs_inference,[],[i_0_110,i_0_87,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_41]) ).

cnf(i_0_177,plain,
    ( ~ p2(X1,X2)
    | p3(f15(X1),f15(X2)) ),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_178,plain,
    p3(f4(f13(f7(f5(c22)),f14(c22,c22))),f4(f13(f7(f5(c21)),f14(c21,c21)))),
    inference(scs_inference,[],[i_0_110,i_0_87,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_41,i_0_42]) ).

cnf(i_0_179,plain,
    ( ~ p2(X1,X2)
    | p3(f4(X1),f4(X2)) ),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_180,plain,
    p3(f8(f13(f7(f5(c22)),f14(c22,c22))),f8(f13(f7(f5(c21)),f14(c21,c21)))),
    inference(scs_inference,[],[i_0_110,i_0_87,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_41,i_0_42,i_0_46]) ).

cnf(i_0_181,plain,
    ( ~ p2(X1,X2)
    | p3(f8(X1),f8(X2)) ),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_182,plain,
    p3(f5(f8(f13(f5(c22),f14(c22,c22)))),f5(f8(f13(f5(c21),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_122,i_0_43]) ).

cnf(i_0_183,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_184,plain,
    p3(f6(f8(f13(f5(c22),f14(c22,c22)))),f6(f8(f13(f5(c21),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_122,i_0_43,i_0_44]) ).

cnf(i_0_185,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_186,plain,
    p3(f7(f8(f13(f5(c22),f14(c22,c22)))),f7(f8(f13(f5(c21),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_122,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_187,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_188,plain,
    p12(f14(f6(c22),f6(c22)),f14(f6(c21),f6(c21))),
    inference(scs_inference,[],[i_0_122,i_0_83,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_189,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_190,plain,
    p2(f13(f6(c22),f14(f5(f5(c22)),f5(f5(c22)))),f13(f6(c21),f14(f5(f5(c21)),f5(f5(c21))))),
    inference(scs_inference,[],[i_0_122,i_0_134,i_0_83,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_191,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_192,plain,
    ( p18(f13(f7(f5(c21)),f14(c21,c21)),f11(f13(f5(f5(c21)),f14(f5(c21),f5(c21))),X1,X2))
    | ~ p18(f13(f7(f5(c22)),f14(c22,c22)),f11(f13(f5(f5(c22)),f14(f5(c22),f5(c22))),X1,X2)) ),
    inference(scs_inference,[],[i_0_174,i_0_122,i_0_134,i_0_158,i_0_83,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_33]) ).

cnf(i_0_193,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_194,plain,
    ( ~ p17(f8(f13(f5(c22),f14(c22,c22))),f8(f13(f5(c22),f14(c22,c22))))
    | p17(f8(f13(f5(c21),f14(c21,c21))),f8(f13(f5(c21),f14(c21,c21)))) ),
    inference(scs_inference,[],[i_0_174,i_0_122,i_0_134,i_0_158,i_0_83,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_33,i_0_34]) ).

cnf(i_0_195,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_196,plain,
    p3(f5(f4(f13(f5(c22),f14(c22,c22)))),f5(f4(f13(f5(c21),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_120,i_0_43]) ).

cnf(i_0_197,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_198,plain,
    p3(f6(f4(f13(f5(c22),f14(c22,c22)))),f6(f4(f13(f5(c21),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_120,i_0_43,i_0_44]) ).

cnf(i_0_199,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_200,plain,
    p3(f7(f4(f13(f5(c22),f14(c22,c22)))),f7(f4(f13(f5(c21),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_120,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_201,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_202,plain,
    p12(f14(f7(c22),f7(c22)),f14(f7(c21),f7(c21))),
    inference(scs_inference,[],[i_0_120,i_0_85,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_203,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_204,plain,
    p2(f13(f4(f13(f5(c22),f14(c22,c22))),f14(f6(c22),f6(c22))),f13(f4(f13(f5(c21),f14(c21,c21))),f14(f6(c21),f6(c21)))),
    inference(scs_inference,[],[i_0_188,i_0_120,i_0_85,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_205,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_206,plain,
    ( ~ p17(f4(f13(f5(c22),f14(c22,c22))),f4(f13(f5(c22),f14(c22,c22))))
    | p17(f4(f13(f5(c21),f14(c21,c21))),f4(f13(f5(c21),f14(c21,c21)))) ),
    inference(scs_inference,[],[i_0_188,i_0_120,i_0_85,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_34]) ).

cnf(i_0_207,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_208,plain,
    ( ~ p16(f4(f13(f5(c22),f14(c22,c22))),f4(f13(f5(c22),f14(c22,c22))))
    | p16(f4(f13(f5(c21),f14(c21,c21))),f4(f13(f5(c21),f14(c21,c21)))) ),
    inference(scs_inference,[],[i_0_188,i_0_120,i_0_85,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_34,i_0_35]) ).

cnf(i_0_209,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_210,plain,
    p3(f5(f15(f13(f5(c22),f14(c22,c22)))),f5(f15(f13(f5(c21),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_118,i_0_43]) ).

cnf(i_0_211,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_212,plain,
    p3(f6(f15(f13(f5(c22),f14(c22,c22)))),f6(f15(f13(f5(c21),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_118,i_0_43,i_0_44]) ).

cnf(i_0_213,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_214,plain,
    p3(f7(f15(f13(f5(c22),f14(c22,c22)))),f7(f15(f13(f5(c21),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_118,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_215,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_216,plain,
    p12(f14(f15(f13(c22,X1)),f15(f13(c22,X1))),f14(f15(f13(c21,X1)),f15(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_118,i_0_93,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_217,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_218,plain,
    p2(f13(f15(f13(f5(c22),f14(c22,c22))),f14(f7(c22),f7(c22))),f13(f15(f13(f5(c21),f14(c21,c21))),f14(f7(c21),f7(c21)))),
    inference(scs_inference,[],[i_0_202,i_0_118,i_0_93,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_219,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_220,plain,
    ( ~ p16(f15(f13(f5(c22),f14(c22,c22))),f15(f13(f5(c22),f14(c22,c22))))
    | p16(f15(f13(f5(c21),f14(c21,c21))),f15(f13(f5(c21),f14(c21,c21)))) ),
    inference(scs_inference,[],[i_0_202,i_0_118,i_0_93,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_35]) ).

cnf(i_0_221,plain,
    ( ~ p3(X1,X2)
    | p16(X2,X3)
    | ~ p3(X4,X3)
    | ~ p16(X1,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_222,plain,
    p3(f5(f5(f5(f5(c22)))),f5(f5(f5(f5(c21))))),
    inference(scs_inference,[],[i_0_128,i_0_43]) ).

cnf(i_0_223,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_224,plain,
    p3(f6(f5(f5(f5(c22)))),f6(f5(f5(f5(c21))))),
    inference(scs_inference,[],[i_0_128,i_0_43,i_0_44]) ).

cnf(i_0_225,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_226,plain,
    p3(f7(f5(f5(f5(c22)))),f7(f5(f5(f5(c21))))),
    inference(scs_inference,[],[i_0_128,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_227,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_228,plain,
    p12(f14(f4(f13(c22,X1)),f4(f13(c22,X1))),f14(f4(f13(c21,X1)),f4(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_128,i_0_95,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_229,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_230,plain,
    p2(f13(f5(f15(f13(f5(c22),f14(c22,c22)))),f14(c22,c22)),f13(f5(f15(f13(f5(c21),f14(c21,c21)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_210,i_0_128,i_0_95,i_0_87,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_231,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_232,plain,
    p3(f5(f6(f5(f5(c22)))),f5(f6(f5(f5(c21))))),
    inference(scs_inference,[],[i_0_130,i_0_43]) ).

cnf(i_0_233,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_234,plain,
    p3(f6(f6(f5(f5(c22)))),f6(f6(f5(f5(c21))))),
    inference(scs_inference,[],[i_0_130,i_0_43,i_0_44]) ).

cnf(i_0_235,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_236,plain,
    p3(f7(f6(f5(f5(c22)))),f7(f6(f5(f5(c21))))),
    inference(scs_inference,[],[i_0_130,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_237,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_238,plain,
    p12(f14(f8(f13(c22,X1)),f8(f13(c22,X1))),f14(f8(f13(c21,X1)),f8(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_130,i_0_97,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_239,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_240,plain,
    p2(f13(f7(c22),f14(f15(f13(c22,X1)),f15(f13(c22,X1)))),f13(f7(c21),f14(f15(f13(c21,X1)),f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_216,i_0_130,i_0_97,i_0_85,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_241,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_242,plain,
    p3(f5(f7(f5(f5(c22)))),f5(f7(f5(f5(c21))))),
    inference(scs_inference,[],[i_0_132,i_0_43]) ).

cnf(i_0_243,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_244,plain,
    p3(f6(f7(f5(f5(c22)))),f6(f7(f5(f5(c21))))),
    inference(scs_inference,[],[i_0_132,i_0_43,i_0_44]) ).

cnf(i_0_245,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_246,plain,
    p3(f7(f7(f5(f5(c22)))),f7(f7(f5(f5(c21))))),
    inference(scs_inference,[],[i_0_132,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_247,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_248,plain,
    p12(f14(c21,c21),f14(c22,c22)),
    inference(scs_inference,[],[i_0_132,i_0_55,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_249,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_250,plain,
    p2(f13(f6(c22),f14(f4(f13(c22,X1)),f4(f13(c22,X1)))),f13(f6(c21),f14(f4(f13(c21,X1)),f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_228,i_0_132,i_0_83,i_0_55,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32]) ).

cnf(i_0_251,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_252,plain,
    ( ~ p17(f6(f15(f13(f5(c22),f14(c22,c22)))),f6(f15(f13(f5(c22),f14(c22,c22)))))
    | p17(f6(f15(f13(f5(c21),f14(c21,c21)))),f6(f15(f13(f5(c21),f14(c21,c21))))) ),
    inference(scs_inference,[],[i_0_228,i_0_212,i_0_132,i_0_83,i_0_55,i_0_43,i_0_44,i_0_45,i_0_31,i_0_32,i_0_34]) ).

cnf(i_0_253,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_254,plain,
    p3(f5(f5(f6(f5(c22)))),f5(f5(f6(f5(c21))))),
    inference(scs_inference,[],[i_0_148,i_0_43]) ).

cnf(i_0_255,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_256,plain,
    p3(f6(f5(f6(f5(c22)))),f6(f5(f6(f5(c21))))),
    inference(scs_inference,[],[i_0_148,i_0_43,i_0_44]) ).

cnf(i_0_257,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_258,plain,
    p3(f7(f5(f6(f5(c22)))),f7(f5(f6(f5(c21))))),
    inference(scs_inference,[],[i_0_148,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_259,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_260,plain,
    p2(f13(f7(f15(f13(f5(c22),f14(c22,c22)))),f14(c21,c21)),f13(f7(f15(f13(f5(c21),f14(c21,c21)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_248,i_0_214,i_0_148,i_0_43,i_0_44,i_0_45,i_0_32]) ).

cnf(i_0_261,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_262,plain,
    ( ~ p17(f7(f15(f13(f5(c22),f14(c22,c22)))),f7(f15(f13(f5(c22),f14(c22,c22)))))
    | p17(f7(f15(f13(f5(c21),f14(c21,c21)))),f7(f15(f13(f5(c21),f14(c21,c21))))) ),
    inference(scs_inference,[],[i_0_248,i_0_214,i_0_148,i_0_43,i_0_44,i_0_45,i_0_32,i_0_34]) ).

cnf(i_0_263,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_264,plain,
    ( ~ p16(f7(f15(f13(f5(c22),f14(c22,c22)))),f7(f15(f13(f5(c22),f14(c22,c22)))))
    | p16(f7(f15(f13(f5(c21),f14(c21,c21)))),f7(f15(f13(f5(c21),f14(c21,c21))))) ),
    inference(scs_inference,[],[i_0_248,i_0_214,i_0_148,i_0_43,i_0_44,i_0_45,i_0_32,i_0_34,i_0_35]) ).

cnf(i_0_265,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_266,plain,
    p3(f5(f6(f6(f5(c22)))),f5(f6(f6(f5(c21))))),
    inference(scs_inference,[],[i_0_150,i_0_43]) ).

cnf(i_0_267,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_268,plain,
    p3(f6(f6(f6(f5(c22)))),f6(f6(f6(f5(c21))))),
    inference(scs_inference,[],[i_0_150,i_0_43,i_0_44]) ).

cnf(i_0_269,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_270,plain,
    p3(f7(f6(f6(f5(c22)))),f7(f6(f6(f5(c21))))),
    inference(scs_inference,[],[i_0_150,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_271,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_272,plain,
    p2(f13(f5(f5(f5(f5(c22)))),f14(c21,c21)),f13(f5(f5(f5(f5(c21)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_222,i_0_150,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32]) ).

cnf(i_0_273,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_274,plain,
    ( p18(f13(f15(f13(f5(c21),f14(c21,c21))),f14(f7(c21),f7(c21))),f11(f13(f5(c21),f14(c21,c21)),X1,f11(f13(c21,X2),X3,f11(f13(c21,X4),X5,X6))))
    | ~ p18(f13(f15(f13(f5(c22),f14(c22,c22))),f14(f7(c22),f7(c22))),f11(f13(f5(c22),f14(c22,c22)),X1,f11(f13(c22,X2),X3,f11(f13(c22,X4),X5,X6)))) ),
    inference(scs_inference,[],[i_0_218,i_0_222,i_0_150,i_0_138,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32,i_0_33]) ).

cnf(i_0_275,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_276,plain,
    ( ~ p16(f5(f5(f5(f5(c22)))),f5(f5(f5(f5(c22)))))
    | p16(f5(f5(f5(f5(c21)))),f5(f5(f5(f5(c21))))) ),
    inference(scs_inference,[],[i_0_218,i_0_222,i_0_150,i_0_138,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32,i_0_33,i_0_35]) ).

cnf(i_0_277,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_278,plain,
    p3(f5(f7(f6(f5(c22)))),f5(f7(f6(f5(c21))))),
    inference(scs_inference,[],[i_0_152,i_0_43]) ).

cnf(i_0_279,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_280,plain,
    p3(f6(f7(f6(f5(c22)))),f6(f7(f6(f5(c21))))),
    inference(scs_inference,[],[i_0_152,i_0_43,i_0_44]) ).

cnf(i_0_281,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_282,plain,
    p3(f7(f7(f6(f5(c22)))),f7(f7(f6(f5(c21))))),
    inference(scs_inference,[],[i_0_152,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_283,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_284,plain,
    p2(f13(f7(c22),f14(f8(f13(c22,X1)),f8(f13(c22,X1)))),f13(f7(c21),f14(f8(f13(c21,X1)),f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_238,i_0_152,i_0_85,i_0_43,i_0_44,i_0_45,i_0_32]) ).

cnf(i_0_285,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_286,plain,
    p10(f11(X1,X2,f11(f13(c22,X3),X4,f11(f13(c22,X5),X6,X7))),f11(X1,X2,f11(f13(c21,X3),X4,f11(f13(c21,X5),X6,X7)))),
    inference(scs_inference,[],[i_0_238,i_0_152,i_0_116,i_0_50,i_0_85,i_0_52,i_0_43,i_0_44,i_0_45,i_0_32,i_0_29]) ).

cnf(i_0_287,plain,
    ( ~ p2(X1,X2)
    | ~ p10(X3,X4)
    | ~ p9(X5,X6)
    | p10(f11(X1,X5,X3),f11(X2,X6,X4)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_288,plain,
    p3(f5(f5(f7(f5(c22)))),f5(f5(f7(f5(c21))))),
    inference(scs_inference,[],[i_0_166,i_0_43]) ).

cnf(i_0_289,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_290,plain,
    p3(f6(f5(f7(f5(c22)))),f6(f5(f7(f5(c21))))),
    inference(scs_inference,[],[i_0_166,i_0_43,i_0_44]) ).

cnf(i_0_291,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_292,plain,
    p3(f7(f5(f7(f5(c22)))),f7(f5(f7(f5(c21))))),
    inference(scs_inference,[],[i_0_166,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_293,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_294,plain,
    p2(f13(f6(c22),f14(f6(f5(c22)),f6(f5(c22)))),f13(f6(c21),f14(f6(f5(c21)),f6(f5(c21))))),
    inference(scs_inference,[],[i_0_166,i_0_154,i_0_83,i_0_43,i_0_44,i_0_45,i_0_32]) ).

cnf(i_0_295,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_296,plain,
    p3(f5(f6(f7(f5(c22)))),f5(f6(f7(f5(c21))))),
    inference(scs_inference,[],[i_0_168,i_0_43]) ).

cnf(i_0_297,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_298,plain,
    p3(f6(f6(f7(f5(c22)))),f6(f6(f7(f5(c21))))),
    inference(scs_inference,[],[i_0_168,i_0_43,i_0_44]) ).

cnf(i_0_299,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_300,plain,
    p3(f7(f6(f7(f5(c22)))),f7(f6(f7(f5(c21))))),
    inference(scs_inference,[],[i_0_168,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_301,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_302,plain,
    p2(f13(f6(f5(f5(f5(c22)))),f14(c21,c21)),f13(f6(f5(f5(f5(c21)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_224,i_0_168,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32]) ).

cnf(i_0_303,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_304,plain,
    ( ~ p17(f6(f5(f5(f5(c22)))),f6(f5(f5(f5(c22)))))
    | p17(f6(f5(f5(f5(c21)))),f6(f5(f5(f5(c21))))) ),
    inference(scs_inference,[],[i_0_224,i_0_168,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32,i_0_34]) ).

cnf(i_0_305,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_306,plain,
    p3(f5(f7(f7(f5(c22)))),f5(f7(f7(f5(c21))))),
    inference(scs_inference,[],[i_0_170,i_0_43]) ).

cnf(i_0_307,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_308,plain,
    p3(f6(f7(f7(f5(c22)))),f6(f7(f7(f5(c21))))),
    inference(scs_inference,[],[i_0_170,i_0_43,i_0_44]) ).

cnf(i_0_309,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_310,plain,
    p3(f7(f7(f7(f5(c22)))),f7(f7(f7(f5(c21))))),
    inference(scs_inference,[],[i_0_170,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_311,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_312,plain,
    p2(f13(f7(f5(f5(f5(c22)))),f14(c21,c21)),f13(f7(f5(f5(f5(c21)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_226,i_0_170,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32]) ).

cnf(i_0_313,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_314,plain,
    ( ~ p17(f7(f5(f5(f5(c22)))),f7(f5(f5(f5(c22)))))
    | p17(f7(f5(f5(f5(c21)))),f7(f5(f5(f5(c21))))) ),
    inference(scs_inference,[],[i_0_226,i_0_170,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32,i_0_34]) ).

cnf(i_0_315,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_316,plain,
    ( ~ p16(f7(f5(f5(f5(c22)))),f7(f5(f5(f5(c22)))))
    | p16(f7(f5(f5(f5(c21)))),f7(f5(f5(f5(c21))))) ),
    inference(scs_inference,[],[i_0_226,i_0_170,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32,i_0_34,i_0_35]) ).

cnf(i_0_317,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_318,plain,
    p3(f5(f8(f13(f7(f5(c22)),f14(c22,c22)))),f5(f8(f13(f7(f5(c21)),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_180,i_0_43]) ).

cnf(i_0_319,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_320,plain,
    p3(f6(f8(f13(f7(f5(c22)),f14(c22,c22)))),f6(f8(f13(f7(f5(c21)),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_180,i_0_43,i_0_44]) ).

cnf(i_0_321,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_322,plain,
    p3(f7(f8(f13(f7(f5(c22)),f14(c22,c22)))),f7(f8(f13(f7(f5(c21)),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_180,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_323,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_324,plain,
    p2(f13(f7(c22),f14(f7(f5(c22)),f7(f5(c22)))),f13(f7(c21),f14(f7(f5(c21)),f7(f5(c21))))),
    inference(scs_inference,[],[i_0_180,i_0_172,i_0_85,i_0_43,i_0_44,i_0_45,i_0_32]) ).

cnf(i_0_325,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_326,plain,
    ( ~ p16(f5(f6(f5(f5(c22)))),f5(f6(f5(f5(c22)))))
    | p16(f5(f6(f5(f5(c21)))),f5(f6(f5(f5(c21))))) ),
    inference(scs_inference,[],[i_0_232,i_0_180,i_0_172,i_0_85,i_0_43,i_0_44,i_0_45,i_0_32,i_0_35]) ).

cnf(i_0_327,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_328,plain,
    p2(f13(f6(c22),f14(f15(f13(c22,X1)),f15(f13(c22,X1)))),f13(f6(c21),f14(f15(f13(c21,X1)),f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_216,i_0_83,i_0_32]) ).

cnf(i_0_329,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_330,plain,
    p2(f13(f6(f6(f5(f5(c22)))),f14(c22,c22)),f13(f6(f6(f5(f5(c21)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_234,i_0_87,i_0_32]) ).

cnf(i_0_331,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_332,plain,
    ( p18(f13(f5(f5(f5(f5(c21)))),f14(c22,c22)),f11(X1,X2,f11(f13(c21,X3),X4,f11(f13(c21,X5),X6,X7))))
    | ~ p18(f13(f5(f5(f5(f5(c22)))),f14(c21,c21)),f11(X1,X2,f11(f13(c22,X3),X4,f11(f13(c22,X5),X6,X7)))) ),
    inference(scs_inference,[],[i_0_286,i_0_234,i_0_272,i_0_87,i_0_32,i_0_33]) ).

cnf(i_0_333,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_334,plain,
    p2(f13(f7(f6(f5(f5(c22)))),f14(c21,c21)),f13(f7(f6(f5(f5(c21)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_236,i_0_248,i_0_32]) ).

cnf(i_0_335,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_336,plain,
    p3(f5(f4(f13(f7(f5(c22)),f14(c22,c22)))),f5(f4(f13(f7(f5(c21)),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_236,i_0_178,i_0_248,i_0_32,i_0_43]) ).

cnf(i_0_337,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_338,plain,
    p3(f6(f4(f13(f7(f5(c22)),f14(c22,c22)))),f6(f4(f13(f7(f5(c21)),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_236,i_0_178,i_0_248,i_0_32,i_0_43,i_0_44]) ).

cnf(i_0_339,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_340,plain,
    p3(f7(f4(f13(f7(f5(c22)),f14(c22,c22)))),f7(f4(f13(f7(f5(c21)),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_236,i_0_178,i_0_248,i_0_32,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_341,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_342,plain,
    ( ~ p17(f7(f6(f5(f5(c22)))),f7(f6(f5(f5(c22)))))
    | p17(f7(f6(f5(f5(c21)))),f7(f6(f5(f5(c21))))) ),
    inference(scs_inference,[],[i_0_236,i_0_178,i_0_248,i_0_32,i_0_43,i_0_44,i_0_45,i_0_34]) ).

cnf(i_0_343,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_344,plain,
    p2(f13(f7(c22),f14(f4(f13(c22,X1)),f4(f13(c22,X1)))),f13(f7(c21),f14(f4(f13(c21,X1)),f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_228,i_0_85,i_0_32]) ).

cnf(i_0_345,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_346,plain,
    ( ~ p17(f5(f7(f5(f5(c22)))),f5(f7(f5(f5(c22)))))
    | p17(f5(f7(f5(f5(c21)))),f5(f7(f5(f5(c21))))) ),
    inference(scs_inference,[],[i_0_242,i_0_228,i_0_85,i_0_32,i_0_34]) ).

cnf(i_0_347,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_348,plain,
    ( ~ p16(f5(f7(f5(f5(c22)))),f5(f7(f5(f5(c22)))))
    | p16(f5(f7(f5(f5(c21)))),f5(f7(f5(f5(c21))))) ),
    inference(scs_inference,[],[i_0_242,i_0_228,i_0_85,i_0_32,i_0_34,i_0_35]) ).

cnf(i_0_349,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_350,plain,
    p2(f13(X1,f14(f8(f13(c22,X2)),f8(f13(c22,X2)))),f13(X1,f14(f8(f13(c21,X2)),f8(f13(c21,X2))))),
    inference(scs_inference,[],[i_0_238,i_0_51,i_0_32]) ).

cnf(i_0_351,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_352,plain,
    ( ~ p16(f6(f7(f5(f5(c22)))),f6(f7(f5(f5(c22)))))
    | p16(f6(f7(f5(f5(c21)))),f6(f7(f5(f5(c21))))) ),
    inference(scs_inference,[],[i_0_244,i_0_238,i_0_51,i_0_32,i_0_35]) ).

cnf(i_0_353,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_354,plain,
    p2(f13(f7(f7(f5(f5(c22)))),f14(c22,c22)),f13(f7(f7(f5(f5(c21)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_246,i_0_87,i_0_32]) ).

cnf(i_0_355,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_356,plain,
    p2(f13(f5(f5(f6(f5(c22)))),f14(c21,c21)),f13(f5(f5(f6(f5(c21)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_254,i_0_248,i_0_32]) ).

cnf(i_0_357,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_358,plain,
    p3(f5(f15(f13(f7(f5(c22)),f14(c22,c22)))),f5(f15(f13(f7(f5(c21)),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_254,i_0_176,i_0_248,i_0_32,i_0_43]) ).

cnf(i_0_359,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_360,plain,
    p3(f6(f15(f13(f7(f5(c22)),f14(c22,c22)))),f6(f15(f13(f7(f5(c21)),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_254,i_0_176,i_0_248,i_0_32,i_0_43,i_0_44]) ).

cnf(i_0_361,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_362,plain,
    p3(f7(f15(f13(f7(f5(c22)),f14(c22,c22)))),f7(f15(f13(f7(f5(c21)),f14(c21,c21))))),
    inference(scs_inference,[],[i_0_254,i_0_176,i_0_248,i_0_32,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_363,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_364,plain,
    p2(f13(f15(f13(c22,X1)),f14(f7(c22),f7(c22))),f13(f15(f13(c21,X1)),f14(f7(c21),f7(c21)))),
    inference(scs_inference,[],[i_0_202,i_0_93,i_0_32]) ).

cnf(i_0_365,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_366,plain,
    p3(f15(f13(f15(f13(c22,X1)),f14(f7(c22),f7(c22)))),f15(f13(f15(f13(c21,X1)),f14(f7(c21),f7(c21))))),
    inference(scs_inference,[],[i_0_202,i_0_93,i_0_32,i_0_41]) ).

cnf(i_0_367,plain,
    ( ~ p2(X1,X2)
    | p3(f15(X1),f15(X2)) ),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_368,plain,
    p3(f4(f13(f15(f13(c22,X1)),f14(f7(c22),f7(c22)))),f4(f13(f15(f13(c21,X1)),f14(f7(c21),f7(c21))))),
    inference(scs_inference,[],[i_0_202,i_0_93,i_0_32,i_0_41,i_0_42]) ).

cnf(i_0_369,plain,
    ( ~ p2(X1,X2)
    | p3(f4(X1),f4(X2)) ),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_370,plain,
    p3(f8(f13(f15(f13(c22,X1)),f14(f7(c22),f7(c22)))),f8(f13(f15(f13(c21,X1)),f14(f7(c21),f7(c21))))),
    inference(scs_inference,[],[i_0_202,i_0_93,i_0_32,i_0_41,i_0_42,i_0_46]) ).

cnf(i_0_371,plain,
    ( ~ p2(X1,X2)
    | p3(f8(X1),f8(X2)) ),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_372,plain,
    ( ~ p17(f6(f5(f6(f5(c22)))),f6(f5(f6(f5(c22)))))
    | p17(f6(f5(f6(f5(c21)))),f6(f5(f6(f5(c21))))) ),
    inference(scs_inference,[],[i_0_256,i_0_202,i_0_93,i_0_32,i_0_41,i_0_42,i_0_46,i_0_34]) ).

cnf(i_0_373,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_374,plain,
    p2(f13(f4(f13(c22,X1)),f14(f6(c22),f6(c22))),f13(f4(f13(c21,X1)),f14(f6(c21),f6(c21)))),
    inference(scs_inference,[],[i_0_188,i_0_95,i_0_32]) ).

cnf(i_0_375,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_376,plain,
    p3(f15(f13(f4(f13(c22,X1)),f14(f6(c22),f6(c22)))),f15(f13(f4(f13(c21,X1)),f14(f6(c21),f6(c21))))),
    inference(scs_inference,[],[i_0_188,i_0_95,i_0_32,i_0_41]) ).

cnf(i_0_377,plain,
    ( ~ p2(X1,X2)
    | p3(f15(X1),f15(X2)) ),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_378,plain,
    p3(f4(f13(f4(f13(c22,X1)),f14(f6(c22),f6(c22)))),f4(f13(f4(f13(c21,X1)),f14(f6(c21),f6(c21))))),
    inference(scs_inference,[],[i_0_188,i_0_95,i_0_32,i_0_41,i_0_42]) ).

cnf(i_0_379,plain,
    ( ~ p2(X1,X2)
    | p3(f4(X1),f4(X2)) ),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_380,plain,
    p3(f8(f13(f4(f13(c22,X1)),f14(f6(c22),f6(c22)))),f8(f13(f4(f13(c21,X1)),f14(f6(c21),f6(c21))))),
    inference(scs_inference,[],[i_0_188,i_0_95,i_0_32,i_0_41,i_0_42,i_0_46]) ).

cnf(i_0_381,plain,
    ( ~ p2(X1,X2)
    | p3(f8(X1),f8(X2)) ),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_382,plain,
    p10(f11(f13(f15(f13(c22,X1)),f14(f7(c22),f7(c22))),X2,f11(f13(c22,X3),X4,X5)),f11(f13(f15(f13(c21,X1)),f14(f7(c21),f7(c21))),X2,f11(f13(c21,X3),X4,X5))),
    inference(scs_inference,[],[i_0_364,i_0_188,i_0_95,i_0_91,i_0_52,i_0_32,i_0_41,i_0_42,i_0_46,i_0_29]) ).

cnf(i_0_383,plain,
    ( ~ p10(X1,X2)
    | ~ p2(X3,X4)
    | ~ p9(X5,X6)
    | p10(f11(X3,X5,X1),f11(X4,X6,X2)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_384,plain,
    ( p18(f13(f15(f13(c21,X1)),f14(f7(c21),f7(c21))),f11(X2,X3,f11(f13(c21,X4),X5,f11(f13(c21,X6),X7,X8))))
    | ~ p18(f13(f15(f13(c22,X1)),f14(f7(c22),f7(c22))),f11(X2,X3,f11(f13(c22,X4),X5,f11(f13(c22,X6),X7,X8)))) ),
    inference(scs_inference,[],[i_0_364,i_0_286,i_0_188,i_0_95,i_0_91,i_0_52,i_0_32,i_0_41,i_0_42,i_0_46,i_0_29,i_0_33]) ).

cnf(i_0_385,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_386,plain,
    ( ~ p17(f7(f5(f6(f5(c22)))),f7(f5(f6(f5(c22)))))
    | p17(f7(f5(f6(f5(c21)))),f7(f5(f6(f5(c21))))) ),
    inference(scs_inference,[],[i_0_364,i_0_258,i_0_286,i_0_188,i_0_95,i_0_91,i_0_52,i_0_32,i_0_41,i_0_42,i_0_46,i_0_29,i_0_33,i_0_34]) ).

cnf(i_0_387,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_388,plain,
    p2(f13(f5(f6(f6(f5(c22)))),f14(c22,c22)),f13(f5(f6(f6(f5(c21)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_266,i_0_87,i_0_32]) ).

cnf(i_0_389,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_390,plain,
    ( ~ p16(f5(f6(f6(f5(c22)))),f5(f6(f6(f5(c22)))))
    | p16(f5(f6(f6(f5(c21)))),f5(f6(f6(f5(c21))))) ),
    inference(scs_inference,[],[i_0_266,i_0_87,i_0_32,i_0_35]) ).

cnf(i_0_391,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_392,plain,
    p2(f13(f6(f6(f6(f5(c22)))),f14(c21,c21)),f13(f6(f6(f6(f5(c21)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_268,i_0_248,i_0_32]) ).

cnf(i_0_393,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_394,plain,
    p3(f5(f8(f13(c22,X1))),f5(f8(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_268,i_0_97,i_0_248,i_0_32,i_0_43]) ).

cnf(i_0_395,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_396,plain,
    p3(f6(f8(f13(c22,X1))),f6(f8(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_268,i_0_97,i_0_248,i_0_32,i_0_43,i_0_44]) ).

cnf(i_0_397,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_398,plain,
    p3(f7(f8(f13(c22,X1))),f7(f8(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_268,i_0_97,i_0_248,i_0_32,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_399,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_400,plain,
    ( ~ p16(f6(f6(f6(f5(c22)))),f6(f6(f6(f5(c22)))))
    | p16(f6(f6(f6(f5(c21)))),f6(f6(f6(f5(c21))))) ),
    inference(scs_inference,[],[i_0_268,i_0_97,i_0_248,i_0_32,i_0_43,i_0_44,i_0_45,i_0_35]) ).

cnf(i_0_401,plain,
    ( ~ p3(X1,X2)
    | p16(X2,X3)
    | ~ p3(X4,X3)
    | ~ p16(X1,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_402,plain,
    p12(f14(X1,f5(f8(f13(c22,X2)))),f14(X1,f5(f8(f13(c21,X2))))),
    inference(scs_inference,[],[i_0_394,i_0_51,i_0_31]) ).

cnf(i_0_403,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_404,plain,
    p2(f13(f7(c22),f14(f5(f5(c22)),f5(f5(c22)))),f13(f7(c21),f14(f5(f5(c21)),f5(f5(c21))))),
    inference(scs_inference,[],[i_0_394,i_0_134,i_0_85,i_0_51,i_0_31,i_0_32]) ).

cnf(i_0_405,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_406,plain,
    p12(f14(f6(f8(f13(c22,X1))),X2),f14(f6(f8(f13(c21,X1))),X2)),
    inference(scs_inference,[],[i_0_396,i_0_51,i_0_31]) ).

cnf(i_0_407,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_408,plain,
    p2(f13(f6(f8(f13(c22,X1))),X2),f13(f6(f8(f13(c21,X1))),X2)),
    inference(scs_inference,[],[i_0_396,i_0_49,i_0_51,i_0_31,i_0_32]) ).

cnf(i_0_409,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_410,plain,
    ( ~ p17(f6(f8(f13(c22,X1))),f6(f8(f13(c22,X1))))
    | p17(f6(f8(f13(c21,X1))),f6(f8(f13(c21,X1)))) ),
    inference(scs_inference,[],[i_0_396,i_0_49,i_0_51,i_0_31,i_0_32,i_0_34]) ).

cnf(i_0_411,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_412,plain,
    p12(f14(f7(f8(f13(c22,X1))),X2),f14(f7(f8(f13(c21,X1))),X2)),
    inference(scs_inference,[],[i_0_398,i_0_51,i_0_31]) ).

cnf(i_0_413,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_414,plain,
    ( ~ p17(f7(f8(f13(c22,X1))),f7(f8(f13(c22,X1))))
    | p17(f7(f8(f13(c21,X1))),f7(f8(f13(c21,X1)))) ),
    inference(scs_inference,[],[i_0_398,i_0_51,i_0_31,i_0_34]) ).

cnf(i_0_415,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_416,plain,
    p3(f5(f5(f8(f13(c22,X1)))),f5(f5(f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_394,i_0_43]) ).

cnf(i_0_417,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_418,plain,
    p3(f6(f5(f8(f13(c22,X1)))),f6(f5(f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_394,i_0_43,i_0_44]) ).

cnf(i_0_419,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_420,plain,
    p3(f7(f5(f8(f13(c22,X1)))),f7(f5(f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_394,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_421,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_422,plain,
    ( ~ p16(f7(f6(f6(f5(c22)))),f7(f6(f6(f5(c22)))))
    | p16(f7(f6(f6(f5(c21)))),f7(f6(f6(f5(c21))))) ),
    inference(scs_inference,[],[i_0_270,i_0_394,i_0_43,i_0_44,i_0_45,i_0_35]) ).

cnf(i_0_423,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_424,plain,
    ( p18(f13(f6(f8(f13(c21,X1))),X2),f11(f13(f15(f13(c21,X3)),f14(f7(c21),f7(c21))),X4,f11(f13(c21,X5),X6,X7)))
    | ~ p18(f13(f6(f8(f13(c22,X1))),X2),f11(f13(f15(f13(c22,X3)),f14(f7(c22),f7(c22))),X4,f11(f13(c22,X5),X6,X7))) ),
    inference(scs_inference,[],[i_0_408,i_0_382,i_0_33]) ).

cnf(i_0_425,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_426,plain,
    ( ~ p16(f5(f5(f8(f13(c22,X1)))),f5(f5(f8(f13(c22,X1)))))
    | p16(f5(f5(f8(f13(c21,X1)))),f5(f5(f8(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_408,i_0_416,i_0_382,i_0_33,i_0_35]) ).

cnf(i_0_427,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_428,plain,
    p2(f13(f6(f5(f8(f13(c22,X1)))),f14(c22,c22)),f13(f6(f5(f8(f13(c21,X1)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_418,i_0_87,i_0_32]) ).

cnf(i_0_429,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_430,plain,
    ( ~ p17(f7(f5(f8(f13(c22,X1)))),f7(f5(f8(f13(c22,X1)))))
    | p17(f7(f5(f8(f13(c21,X1)))),f7(f5(f8(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_420,i_0_34]) ).

cnf(i_0_431,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_432,plain,
    p3(f5(f7(f8(f13(c22,X1)))),f5(f7(f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_398,i_0_43]) ).

cnf(i_0_433,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_434,plain,
    p3(f6(f7(f8(f13(c22,X1)))),f6(f7(f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_398,i_0_43,i_0_44]) ).

cnf(i_0_435,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_436,plain,
    p3(f7(f7(f8(f13(c22,X1)))),f7(f7(f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_398,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_437,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_438,plain,
    ( ~ p17(f5(f7(f6(f5(c22)))),f5(f7(f6(f5(c22)))))
    | p17(f5(f7(f6(f5(c21)))),f5(f7(f6(f5(c21))))) ),
    inference(scs_inference,[],[i_0_278,i_0_398,i_0_43,i_0_44,i_0_45,i_0_34]) ).

cnf(i_0_439,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_440,plain,
    ( ~ p16(f5(f7(f8(f13(c22,X1)))),f5(f7(f8(f13(c22,X1)))))
    | p16(f5(f7(f8(f13(c21,X1)))),f5(f7(f8(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_432,i_0_35]) ).

cnf(i_0_441,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_442,plain,
    p2(f13(f6(f7(f8(f13(c22,X1)))),f14(c21,c21)),f13(f6(f7(f8(f13(c21,X1)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_434,i_0_248,i_0_32]) ).

cnf(i_0_443,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_444,plain,
    ( ~ p16(f6(f7(f8(f13(c22,X1)))),f6(f7(f8(f13(c22,X1)))))
    | p16(f6(f7(f8(f13(c21,X1)))),f6(f7(f8(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_434,i_0_248,i_0_32,i_0_35]) ).

cnf(i_0_445,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_446,plain,
    p3(f5(f15(f13(c22,X1))),f5(f15(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_93,i_0_43]) ).

cnf(i_0_447,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_448,plain,
    p3(f6(f15(f13(c22,X1))),f6(f15(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_93,i_0_43,i_0_44]) ).

cnf(i_0_449,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_450,plain,
    p3(f7(f15(f13(c22,X1))),f7(f15(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_93,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_451,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_452,plain,
    ( p18(f13(f5(f6(f6(f5(c21)))),f14(c21,c21)),f11(f13(f15(f13(c21,X1)),f14(f7(c21),f7(c21))),X2,f11(f13(c21,X3),X4,X5)))
    | ~ p18(f13(f5(f6(f6(f5(c22)))),f14(c22,c22)),f11(f13(f15(f13(c22,X1)),f14(f7(c22),f7(c22))),X2,f11(f13(c22,X3),X4,X5))) ),
    inference(scs_inference,[],[i_0_388,i_0_382,i_0_93,i_0_43,i_0_44,i_0_45,i_0_33]) ).

cnf(i_0_453,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_454,plain,
    ( ~ p17(f7(f7(f8(f13(c22,X1)))),f7(f7(f8(f13(c22,X1)))))
    | p17(f7(f7(f8(f13(c21,X1)))),f7(f7(f8(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_436,i_0_388,i_0_382,i_0_93,i_0_43,i_0_44,i_0_45,i_0_33,i_0_34]) ).

cnf(i_0_455,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_456,plain,
    p12(f14(f5(f15(f13(c22,X1))),X2),f14(f5(f15(f13(c21,X1))),X2)),
    inference(scs_inference,[],[i_0_446,i_0_51,i_0_31]) ).

cnf(i_0_457,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_458,plain,
    ( ~ p17(f5(f15(f13(c22,X1))),f5(f15(f13(c22,X1))))
    | p17(f5(f15(f13(c21,X1))),f5(f15(f13(c21,X1)))) ),
    inference(scs_inference,[],[i_0_446,i_0_51,i_0_31,i_0_34]) ).

cnf(i_0_459,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_460,plain,
    p12(f14(X1,f6(f15(f13(c22,X2)))),f14(X1,f6(f15(f13(c21,X2))))),
    inference(scs_inference,[],[i_0_448,i_0_51,i_0_31]) ).

cnf(i_0_461,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_462,plain,
    ( ~ p16(f6(f15(f13(c22,X1))),f6(f15(f13(c22,X1))))
    | p16(f6(f15(f13(c21,X1))),f6(f15(f13(c21,X1)))) ),
    inference(scs_inference,[],[i_0_448,i_0_51,i_0_31,i_0_35]) ).

cnf(i_0_463,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_464,plain,
    p12(f14(f7(f15(f13(c22,X1))),X2),f14(f7(f15(f13(c21,X1))),X2)),
    inference(scs_inference,[],[i_0_450,i_0_51,i_0_31]) ).

cnf(i_0_465,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_466,plain,
    ( ~ p16(f7(f15(f13(c22,X1))),f7(f15(f13(c22,X1))))
    | p16(f7(f15(f13(c21,X1))),f7(f15(f13(c21,X1)))) ),
    inference(scs_inference,[],[i_0_450,i_0_51,i_0_31,i_0_35]) ).

cnf(i_0_467,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_468,plain,
    p3(f5(f5(f15(f13(c22,X1)))),f5(f5(f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_446,i_0_43]) ).

cnf(i_0_469,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_470,plain,
    p3(f6(f5(f15(f13(c22,X1)))),f6(f5(f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_446,i_0_43,i_0_44]) ).

cnf(i_0_471,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_472,plain,
    p3(f7(f5(f15(f13(c22,X1)))),f7(f5(f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_446,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_473,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_474,plain,
    p2(f13(f5(f5(f15(f13(c22,X1)))),f14(c22,c22)),f13(f5(f5(f15(f13(c21,X1)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_468,i_0_87,i_0_32]) ).

cnf(i_0_475,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_476,plain,
    ( ~ p17(f5(f5(f15(f13(c22,X1)))),f5(f5(f15(f13(c22,X1)))))
    | p17(f5(f5(f15(f13(c21,X1)))),f5(f5(f15(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_468,i_0_87,i_0_32,i_0_34]) ).

cnf(i_0_477,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_478,plain,
    ( ~ p17(f6(f5(f15(f13(c22,X1)))),f6(f5(f15(f13(c22,X1)))))
    | p17(f6(f5(f15(f13(c21,X1)))),f6(f5(f15(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_470,i_0_34]) ).

cnf(i_0_479,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_480,plain,
    ( p18(f13(f6(f5(f8(f13(c21,X1)))),f14(c21,c21)),f11(f13(f5(f5(c21)),f14(f5(c21),f5(c21))),X2,X3))
    | ~ p18(f13(f6(f5(f8(f13(c22,X1)))),f14(c22,c22)),f11(f13(f5(f5(c22)),f14(f5(c22),f5(c22))),X2,X3)) ),
    inference(scs_inference,[],[i_0_428,i_0_158,i_0_33]) ).

cnf(i_0_481,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_482,plain,
    ( ~ p16(f7(f5(f15(f13(c22,X1)))),f7(f5(f15(f13(c22,X1)))))
    | p16(f7(f5(f15(f13(c21,X1)))),f7(f5(f15(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_472,i_0_428,i_0_158,i_0_33,i_0_35]) ).

cnf(i_0_483,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_484,plain,
    p3(f5(f6(f15(f13(c22,X1)))),f5(f6(f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_448,i_0_43]) ).

cnf(i_0_485,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_486,plain,
    p3(f6(f6(f15(f13(c22,X1)))),f6(f6(f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_448,i_0_43,i_0_44]) ).

cnf(i_0_487,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_488,plain,
    p3(f7(f6(f15(f13(c22,X1)))),f7(f6(f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_448,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_489,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_490,plain,
    ( ~ p16(f6(f7(f6(f5(c22)))),f6(f7(f6(f5(c22)))))
    | p16(f6(f7(f6(f5(c21)))),f6(f7(f6(f5(c21))))) ),
    inference(scs_inference,[],[i_0_280,i_0_448,i_0_43,i_0_44,i_0_45,i_0_35]) ).

cnf(i_0_491,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_492,plain,
    ( ~ p17(f5(f6(f15(f13(c22,X1)))),f5(f6(f15(f13(c22,X1)))))
    | p17(f5(f6(f15(f13(c21,X1)))),f5(f6(f15(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_484,i_0_34]) ).

cnf(i_0_493,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_494,plain,
    ( ~ p17(f6(f6(f15(f13(c22,X1)))),f6(f6(f15(f13(c22,X1)))))
    | p17(f6(f6(f15(f13(c21,X1)))),f6(f6(f15(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_486,i_0_34]) ).

cnf(i_0_495,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_496,plain,
    p3(f5(f7(f15(f13(c22,X1)))),f5(f7(f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_450,i_0_43]) ).

cnf(i_0_497,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_498,plain,
    p3(f6(f7(f15(f13(c22,X1)))),f6(f7(f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_450,i_0_43,i_0_44]) ).

cnf(i_0_499,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_500,plain,
    p3(f7(f7(f15(f13(c22,X1)))),f7(f7(f15(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_450,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_501,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_502,plain,
    p2(f13(f7(f6(f15(f13(c22,X1)))),f14(c21,c21)),f13(f7(f6(f15(f13(c21,X1)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_488,i_0_450,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32]) ).

cnf(i_0_503,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_504,plain,
    ( ~ p16(f7(f6(f15(f13(c22,X1)))),f7(f6(f15(f13(c22,X1)))))
    | p16(f7(f6(f15(f13(c21,X1)))),f7(f6(f15(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_488,i_0_450,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32,i_0_35]) ).

cnf(i_0_505,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_506,plain,
    ( ~ p16(f5(f7(f15(f13(c22,X1)))),f5(f7(f15(f13(c22,X1)))))
    | p16(f5(f7(f15(f13(c21,X1)))),f5(f7(f15(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_496,i_0_35]) ).

cnf(i_0_507,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_508,plain,
    ( p18(f13(f6(f7(f8(f13(c21,X1)))),f14(c22,c22)),f11(f13(f5(c21),f14(c21,c21)),X2,f11(f13(c21,X3),X4,f11(f13(c21,X5),X6,X7))))
    | ~ p18(f13(f6(f7(f8(f13(c22,X1)))),f14(c21,c21)),f11(f13(f5(c22),f14(c22,c22)),X2,f11(f13(c22,X3),X4,f11(f13(c22,X5),X6,X7)))) ),
    inference(scs_inference,[],[i_0_442,i_0_138,i_0_33]) ).

cnf(i_0_509,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_510,plain,
    ( ~ p17(f6(f7(f15(f13(c22,X1)))),f6(f7(f15(f13(c22,X1)))))
    | p17(f6(f7(f15(f13(c21,X1)))),f6(f7(f15(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_498,i_0_34]) ).

cnf(i_0_511,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_512,plain,
    p3(f5(f4(f13(c22,X1))),f5(f4(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_95,i_0_43]) ).

cnf(i_0_513,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_514,plain,
    p3(f6(f4(f13(c22,X1))),f6(f4(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_95,i_0_43,i_0_44]) ).

cnf(i_0_515,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_516,plain,
    p3(f7(f4(f13(c22,X1))),f7(f4(f13(c21,X1)))),
    inference(scs_inference,[],[i_0_95,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_517,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_518,plain,
    ( ~ p17(f7(f7(f15(f13(c22,X1)))),f7(f7(f15(f13(c22,X1)))))
    | p17(f7(f7(f15(f13(c21,X1)))),f7(f7(f15(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_500,i_0_95,i_0_43,i_0_44,i_0_45,i_0_34]) ).

cnf(i_0_519,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_520,plain,
    p12(f14(f5(f4(f13(c22,X1))),X2),f14(f5(f4(f13(c21,X1))),X2)),
    inference(scs_inference,[],[i_0_512,i_0_51,i_0_31]) ).

cnf(i_0_521,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_522,plain,
    ( ~ p16(f5(f4(f13(c22,X1))),f5(f4(f13(c22,X1))))
    | p16(f5(f4(f13(c21,X1))),f5(f4(f13(c21,X1)))) ),
    inference(scs_inference,[],[i_0_512,i_0_51,i_0_31,i_0_35]) ).

cnf(i_0_523,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_524,plain,
    p12(f14(X1,f6(f4(f13(c22,X2)))),f14(X1,f6(f4(f13(c21,X2))))),
    inference(scs_inference,[],[i_0_514,i_0_51,i_0_31]) ).

cnf(i_0_525,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_526,plain,
    ( ~ p16(f6(f4(f13(c22,X1))),f6(f4(f13(c22,X1))))
    | p16(f6(f4(f13(c21,X1))),f6(f4(f13(c21,X1)))) ),
    inference(scs_inference,[],[i_0_514,i_0_51,i_0_31,i_0_35]) ).

cnf(i_0_527,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_528,plain,
    p12(f14(X1,f7(f4(f13(c22,X2)))),f14(X1,f7(f4(f13(c21,X2))))),
    inference(scs_inference,[],[i_0_516,i_0_51,i_0_31]) ).

cnf(i_0_529,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_530,plain,
    p2(f13(f7(f4(f13(c22,X1))),f14(f7(c22),f7(c22))),f13(f7(f4(f13(c21,X1))),f14(f7(c21),f7(c21)))),
    inference(scs_inference,[],[i_0_516,i_0_202,i_0_51,i_0_31,i_0_32]) ).

cnf(i_0_531,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_532,plain,
    p3(f5(f5(f4(f13(c22,X1)))),f5(f5(f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_512,i_0_43]) ).

cnf(i_0_533,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_534,plain,
    p3(f6(f5(f4(f13(c22,X1)))),f6(f5(f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_512,i_0_43,i_0_44]) ).

cnf(i_0_535,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_536,plain,
    p3(f7(f5(f4(f13(c22,X1)))),f7(f5(f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_512,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_537,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_538,plain,
    ( ~ p17(f7(f7(f6(f5(c22)))),f7(f7(f6(f5(c22)))))
    | p17(f7(f7(f6(f5(c21)))),f7(f7(f6(f5(c21))))) ),
    inference(scs_inference,[],[i_0_282,i_0_512,i_0_43,i_0_44,i_0_45,i_0_34]) ).

cnf(i_0_539,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_540,plain,
    ( p18(f13(f7(f4(f13(c21,X1))),f14(f7(c21),f7(c21))),f11(X2,X3,f11(f13(c21,X4),X5,f11(f13(c21,X6),X7,X8))))
    | ~ p18(f13(f7(f4(f13(c22,X1))),f14(f7(c22),f7(c22))),f11(X2,X3,f11(f13(c22,X4),X5,f11(f13(c22,X6),X7,X8)))) ),
    inference(scs_inference,[],[i_0_530,i_0_286,i_0_33]) ).

cnf(i_0_541,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_542,plain,
    ( ~ p17(f5(f5(f4(f13(c22,X1)))),f5(f5(f4(f13(c22,X1)))))
    | p17(f5(f5(f4(f13(c21,X1)))),f5(f5(f4(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_530,i_0_532,i_0_286,i_0_33,i_0_34]) ).

cnf(i_0_543,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_544,plain,
    ( ~ p16(f6(f5(f4(f13(c22,X1)))),f6(f5(f4(f13(c22,X1)))))
    | p16(f6(f5(f4(f13(c21,X1)))),f6(f5(f4(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_534,i_0_35]) ).

cnf(i_0_545,plain,
    ( ~ p3(X1,X2)
    | p16(X2,X3)
    | ~ p3(X4,X3)
    | ~ p16(X1,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_546,plain,
    ( ~ p16(f7(f5(f4(f13(c22,X1)))),f7(f5(f4(f13(c22,X1)))))
    | p16(f7(f5(f4(f13(c21,X1)))),f7(f5(f4(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_536,i_0_35]) ).

cnf(i_0_547,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_548,plain,
    p3(f5(f6(f4(f13(c22,X1)))),f5(f6(f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_514,i_0_43]) ).

cnf(i_0_549,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_550,plain,
    p3(f6(f6(f4(f13(c22,X1)))),f6(f6(f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_514,i_0_43,i_0_44]) ).

cnf(i_0_551,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_552,plain,
    p3(f7(f6(f4(f13(c22,X1)))),f7(f6(f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_514,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_553,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_554,plain,
    ( ~ p17(f5(f6(f4(f13(c22,X1)))),f5(f6(f4(f13(c22,X1)))))
    | p17(f5(f6(f4(f13(c21,X1)))),f5(f6(f4(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_548,i_0_34]) ).

cnf(i_0_555,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_556,plain,
    p2(f13(f6(f6(f4(f13(c22,X1)))),f14(c22,c22)),f13(f6(f6(f4(f13(c21,X1)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_550,i_0_87,i_0_32]) ).

cnf(i_0_557,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_558,plain,
    ( ~ p17(f6(f6(f4(f13(c22,X1)))),f6(f6(f4(f13(c22,X1)))))
    | p17(f6(f6(f4(f13(c21,X1)))),f6(f6(f4(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_550,i_0_87,i_0_32,i_0_34]) ).

cnf(i_0_559,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_560,plain,
    ( ~ p16(f7(f6(f4(f13(c22,X1)))),f7(f6(f4(f13(c22,X1)))))
    | p16(f7(f6(f4(f13(c21,X1)))),f7(f6(f4(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_552,i_0_35]) ).

cnf(i_0_561,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_562,plain,
    p3(f5(f7(f4(f13(c22,X1)))),f5(f7(f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_516,i_0_43]) ).

cnf(i_0_563,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_564,plain,
    p3(f6(f7(f4(f13(c22,X1)))),f6(f7(f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_516,i_0_43,i_0_44]) ).

cnf(i_0_565,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_566,plain,
    p3(f7(f7(f4(f13(c22,X1)))),f7(f7(f4(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_516,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_567,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_568,plain,
    ( p18(f13(f6(f6(f4(f13(c21,X1)))),f14(c21,c21)),f11(f13(f15(f13(c21,X2)),f14(f7(c21),f7(c21))),X3,f11(f13(c21,X4),X5,X6)))
    | ~ p18(f13(f6(f6(f4(f13(c22,X1)))),f14(c22,c22)),f11(f13(f15(f13(c22,X2)),f14(f7(c22),f7(c22))),X3,f11(f13(c22,X4),X5,X6))) ),
    inference(scs_inference,[],[i_0_556,i_0_516,i_0_382,i_0_43,i_0_44,i_0_45,i_0_33]) ).

cnf(i_0_569,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_570,plain,
    ( ~ p16(f5(f5(f7(f5(c22)))),f5(f5(f7(f5(c22)))))
    | p16(f5(f5(f7(f5(c21)))),f5(f5(f7(f5(c21))))) ),
    inference(scs_inference,[],[i_0_556,i_0_288,i_0_516,i_0_382,i_0_43,i_0_44,i_0_45,i_0_33,i_0_35]) ).

cnf(i_0_571,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_572,plain,
    p10(f11(f13(c22,X1),X2,f11(f13(c22,X3),X4,f11(f13(c22,X5),X6,X7))),f11(f13(c21,X1),X2,f11(f13(c21,X3),X4,f11(f13(c21,X5),X6,X7)))),
    inference(scs_inference,[],[i_0_116,i_0_89,i_0_52,i_0_29]) ).

cnf(i_0_573,plain,
    ( ~ p2(X1,X2)
    | ~ p10(X3,X4)
    | ~ p9(X5,X6)
    | p10(f11(X1,X5,X3),f11(X2,X6,X4)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_574,plain,
    ( ~ p17(f5(f7(f4(f13(c22,X1)))),f5(f7(f4(f13(c22,X1)))))
    | p17(f5(f7(f4(f13(c21,X1)))),f5(f7(f4(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_562,i_0_34]) ).

cnf(i_0_575,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_576,plain,
    ( ~ p17(f6(f7(f4(f13(c22,X1)))),f6(f7(f4(f13(c22,X1)))))
    | p17(f6(f7(f4(f13(c21,X1)))),f6(f7(f4(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_564,i_0_34]) ).

cnf(i_0_577,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_578,plain,
    p3(f5(f6(f8(f13(c22,X1)))),f5(f6(f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_396,i_0_43]) ).

cnf(i_0_579,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_580,plain,
    p3(f6(f6(f8(f13(c22,X1)))),f6(f6(f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_396,i_0_43,i_0_44]) ).

cnf(i_0_581,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_582,plain,
    p3(f7(f6(f8(f13(c22,X1)))),f7(f6(f8(f13(c21,X1))))),
    inference(scs_inference,[],[i_0_396,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_583,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_584,plain,
    ( ~ p16(f7(f7(f4(f13(c22,X1)))),f7(f7(f4(f13(c22,X1)))))
    | p16(f7(f7(f4(f13(c21,X1)))),f7(f7(f4(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_566,i_0_396,i_0_43,i_0_44,i_0_45,i_0_35]) ).

cnf(i_0_585,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_586,plain,
    p2(f13(f5(f6(f8(f13(c22,X1)))),f14(c21,c21)),f13(f5(f6(f8(f13(c21,X1)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_578,i_0_248,i_0_32]) ).

cnf(i_0_587,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_588,plain,
    ( ~ p16(f5(f6(f8(f13(c22,X1)))),f5(f6(f8(f13(c22,X1)))))
    | p16(f5(f6(f8(f13(c21,X1)))),f5(f6(f8(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_578,i_0_248,i_0_32,i_0_35]) ).

cnf(i_0_589,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_590,plain,
    ( p18(f13(f5(f6(f8(f13(c21,X1)))),f14(c22,c22)),f11(f13(c21,X2),X3,f11(f13(c21,X4),X5,f11(f13(c21,X6),X7,X8))))
    | ~ p18(f13(f5(f6(f8(f13(c22,X1)))),f14(c21,c21)),f11(f13(c22,X2),X3,f11(f13(c22,X4),X5,f11(f13(c22,X6),X7,X8)))) ),
    inference(scs_inference,[],[i_0_572,i_0_586,i_0_33]) ).

cnf(i_0_591,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_592,plain,
    ( ~ p17(f6(f6(f8(f13(c22,X1)))),f6(f6(f8(f13(c22,X1)))))
    | p17(f6(f6(f8(f13(c21,X1)))),f6(f6(f8(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_580,i_0_572,i_0_586,i_0_33,i_0_34]) ).

cnf(i_0_593,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_594,plain,
    p3(f5(f6(c22)),f5(f6(c21))),
    inference(scs_inference,[],[i_0_83,i_0_43]) ).

cnf(i_0_595,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_596,plain,
    p3(f6(f6(c22)),f6(f6(c21))),
    inference(scs_inference,[],[i_0_83,i_0_43,i_0_44]) ).

cnf(i_0_597,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_598,plain,
    p3(f7(f6(c22)),f7(f6(c21))),
    inference(scs_inference,[],[i_0_83,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_599,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_600,plain,
    p12(f14(f5(f6(c22)),f5(f6(c22))),f14(f5(f6(c21)),f5(f6(c21)))),
    inference(scs_inference,[],[i_0_83,i_0_43,i_0_44,i_0_45,i_0_31]) ).

cnf(i_0_601,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X3,X1),f14(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_602,plain,
    ( ~ p17(f7(f6(f8(f13(c22,X1)))),f7(f6(f8(f13(c22,X1)))))
    | p17(f7(f6(f8(f13(c21,X1)))),f7(f6(f8(f13(c21,X1))))) ),
    inference(scs_inference,[],[i_0_582,i_0_83,i_0_43,i_0_44,i_0_45,i_0_31,i_0_34]) ).

cnf(i_0_603,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_604,plain,
    p2(f13(c21,f14(f5(f6(c22)),f5(f6(c22)))),f13(c22,f14(f5(f6(c21)),f5(f6(c21))))),
    inference(scs_inference,[],[i_0_600,i_0_55,i_0_32]) ).

cnf(i_0_605,plain,
    ( ~ p3(X1,X2)
    | p2(f13(X1,X3),f13(X2,X4))
    | ~ p12(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_606,plain,
    p12(f14(f6(f6(c22)),f6(f6(c22))),f14(f6(f6(c21)),f6(f6(c21)))),
    inference(scs_inference,[],[i_0_596,i_0_600,i_0_55,i_0_32,i_0_31]) ).

cnf(i_0_607,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X1,X3),f14(X2,X4))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_608,plain,
    ( ~ p16(f5(f6(c22)),f5(f6(c22)))
    | p16(f5(f6(c21)),f5(f6(c21))) ),
    inference(scs_inference,[],[i_0_594,i_0_596,i_0_600,i_0_55,i_0_32,i_0_31,i_0_35]) ).

cnf(i_0_609,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_610,plain,
    ( ~ p16(f7(f6(c22)),f7(f6(c22)))
    | p16(f7(f6(c21)),f7(f6(c21))) ),
    inference(scs_inference,[],[i_0_598,i_0_35]) ).

cnf(i_0_611,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_612,plain,
    p2(f13(f6(f5(f7(f5(c22)))),f14(c22,c22)),f13(f6(f5(f7(f5(c21)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_290,i_0_87,i_0_32]) ).

cnf(i_0_613,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_614,plain,
    p3(f5(f5(f6(c22))),f5(f5(f6(c21)))),
    inference(scs_inference,[],[i_0_594,i_0_43]) ).

cnf(i_0_615,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_616,plain,
    p3(f6(f5(f6(c22))),f6(f5(f6(c21)))),
    inference(scs_inference,[],[i_0_594,i_0_43,i_0_44]) ).

cnf(i_0_617,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_618,plain,
    p3(f7(f5(f6(c22))),f7(f5(f6(c21)))),
    inference(scs_inference,[],[i_0_594,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_619,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_620,plain,
    ( ~ p17(f7(f5(f7(f5(c22)))),f7(f5(f7(f5(c22)))))
    | p17(f7(f5(f7(f5(c21)))),f7(f5(f7(f5(c21))))) ),
    inference(scs_inference,[],[i_0_292,i_0_594,i_0_43,i_0_44,i_0_45,i_0_34]) ).

cnf(i_0_621,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_622,plain,
    p12(f14(f7(f6(c22)),f7(f6(c22))),f14(f7(f6(c21)),f7(f6(c21)))),
    inference(scs_inference,[],[i_0_598,i_0_31]) ).

cnf(i_0_623,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X3,X1),f14(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_624,plain,
    p2(f13(f5(c22),f14(f6(f6(c22)),f6(f6(c22)))),f13(f5(c21),f14(f6(f6(c21)),f6(f6(c21))))),
    inference(scs_inference,[],[i_0_606,i_0_598,i_0_81,i_0_31,i_0_32]) ).

cnf(i_0_625,plain,
    ( ~ p3(X1,X2)
    | p2(f13(X1,X3),f13(X2,X4))
    | ~ p12(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_626,plain,
    ( ~ p17(f5(f5(f6(c22))),f5(f5(f6(c22))))
    | p17(f5(f5(f6(c21))),f5(f5(f6(c21)))) ),
    inference(scs_inference,[],[i_0_614,i_0_606,i_0_598,i_0_81,i_0_31,i_0_32,i_0_34]) ).

cnf(i_0_627,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p3(X4,X3)
    | ~ p17(X4,X1) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_628,plain,
    p12(f14(X1,f6(f5(f6(c22)))),f14(X1,f6(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_616,i_0_51,i_0_31]) ).

cnf(i_0_629,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X1,X3),f14(X2,X4))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_630,plain,
    ( p18(f13(f6(f5(f7(f5(c21)))),f14(c21,c21)),f11(f13(c21,X1),X2,f11(f13(c21,X3),X4,f11(f13(c21,X5),X6,X7))))
    | ~ p18(f13(f6(f5(f7(f5(c22)))),f14(c22,c22)),f11(f13(c22,X1),X2,f11(f13(c22,X3),X4,f11(f13(c22,X5),X6,X7)))) ),
    inference(scs_inference,[],[i_0_616,i_0_612,i_0_572,i_0_51,i_0_31,i_0_33]) ).

cnf(i_0_631,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_632,plain,
    ( ~ p16(f6(f5(f6(c22))),f6(f5(f6(c22))))
    | p16(f6(f5(f6(c21))),f6(f5(f6(c21)))) ),
    inference(scs_inference,[],[i_0_616,i_0_612,i_0_572,i_0_51,i_0_31,i_0_33,i_0_35]) ).

cnf(i_0_633,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_634,plain,
    p2(f13(f7(f5(f6(c22))),f14(f5(c22),f5(c22))),f13(f7(f5(f6(c21))),f14(f5(c21),f5(c21)))),
    inference(scs_inference,[],[i_0_618,i_0_112,i_0_32]) ).

cnf(i_0_635,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_636,plain,
    ( ~ p16(f7(f5(f6(c22))),f7(f5(f6(c22))))
    | p16(f7(f5(f6(c21))),f7(f5(f6(c21)))) ),
    inference(scs_inference,[],[i_0_618,i_0_112,i_0_32,i_0_35]) ).

cnf(i_0_637,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_638,plain,
    p3(f5(f6(f6(c22))),f5(f6(f6(c21)))),
    inference(scs_inference,[],[i_0_596,i_0_43]) ).

cnf(i_0_639,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_640,plain,
    p3(f6(f6(f6(c22))),f6(f6(f6(c21)))),
    inference(scs_inference,[],[i_0_596,i_0_43,i_0_44]) ).

cnf(i_0_641,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_642,plain,
    p3(f7(f6(f6(c22))),f7(f6(f6(c21)))),
    inference(scs_inference,[],[i_0_596,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_643,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_644,plain,
    p2(f13(f7(c22),f14(f7(f6(c22)),f7(f6(c22)))),f13(f7(c21),f14(f7(f6(c21)),f7(f6(c21))))),
    inference(scs_inference,[],[i_0_622,i_0_85,i_0_32]) ).

cnf(i_0_645,plain,
    ( ~ p3(X1,X2)
    | p2(f13(X1,X3),f13(X2,X4))
    | ~ p12(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_646,plain,
    ( ~ p17(f7(f6(f6(c22))),f7(f6(f6(c22))))
    | p17(f7(f6(f6(c21))),f7(f6(f6(c21)))) ),
    inference(scs_inference,[],[i_0_642,i_0_622,i_0_85,i_0_32,i_0_34]) ).

cnf(i_0_647,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p17(X2,X4)
    | ~ p17(X1,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_648,plain,
    p12(f14(f5(f6(f6(c22))),X1),f14(f5(f6(f6(c21))),X1)),
    inference(scs_inference,[],[i_0_638,i_0_51,i_0_31]) ).

cnf(i_0_649,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X3,X1),f14(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_650,plain,
    ( ~ p17(f5(f6(f6(c22))),f5(f6(f6(c22))))
    | p17(f5(f6(f6(c21))),f5(f6(f6(c21)))) ),
    inference(scs_inference,[],[i_0_638,i_0_51,i_0_31,i_0_34]) ).

cnf(i_0_651,plain,
    ( ~ p3(X1,X2)
    | p17(X3,X2)
    | ~ p17(X4,X1)
    | ~ p3(X4,X3) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_652,plain,
    p12(f14(X1,f6(f6(f6(c22)))),f14(X1,f6(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_640,i_0_51,i_0_31]) ).

cnf(i_0_653,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X1,X3),f14(X2,X4))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_654,plain,
    p2(f13(f6(f6(f6(c22))),f14(f6(c22),f6(c22))),f13(f6(f6(f6(c21))),f14(f6(c21),f6(c21)))),
    inference(scs_inference,[],[i_0_640,i_0_188,i_0_51,i_0_31,i_0_32]) ).

cnf(i_0_655,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_656,plain,
    ( ~ p16(f6(f6(f6(c22))),f6(f6(f6(c22))))
    | p16(f6(f6(f6(c21))),f6(f6(f6(c21)))) ),
    inference(scs_inference,[],[i_0_640,i_0_188,i_0_51,i_0_31,i_0_32,i_0_35]) ).

cnf(i_0_657,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_658,plain,
    p3(f5(f7(f6(f6(c22)))),f5(f7(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_642,i_0_43]) ).

cnf(i_0_659,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_660,plain,
    p3(f6(f7(f6(f6(c22)))),f6(f7(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_642,i_0_43,i_0_44]) ).

cnf(i_0_661,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_662,plain,
    p3(f7(f7(f6(f6(c22)))),f7(f7(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_642,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_663,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_664,plain,
    ( ~ p16(f5(f6(f7(f5(c22)))),f5(f6(f7(f5(c22)))))
    | p16(f5(f6(f7(f5(c21)))),f5(f6(f7(f5(c21))))) ),
    inference(scs_inference,[],[i_0_296,i_0_642,i_0_43,i_0_44,i_0_45,i_0_35]) ).

cnf(i_0_665,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_666,plain,
    ( p18(f13(f7(f5(f6(c21))),f14(f5(c21),f5(c21))),f11(f13(c21,X1),X2,f11(f13(c21,X3),X4,f11(f13(c21,X5),X6,X7))))
    | ~ p18(f13(f7(f5(f6(c22))),f14(f5(c22),f5(c22))),f11(f13(c22,X1),X2,f11(f13(c22,X3),X4,f11(f13(c22,X5),X6,X7)))) ),
    inference(scs_inference,[],[i_0_634,i_0_572,i_0_33]) ).

cnf(i_0_667,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_668,plain,
    p2(f13(f5(f5(f6(c22))),X1),f13(f5(f5(f6(c21))),X1)),
    inference(scs_inference,[],[i_0_49,i_0_614,i_0_32]) ).

cnf(i_0_669,plain,
    ( ~ p3(X1,X2)
    | p2(f13(X1,X3),f13(X2,X4))
    | ~ p12(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_670,plain,
    ( ~ p17(f5(f7(f6(f6(c22)))),f5(f7(f6(f6(c22)))))
    | p17(f5(f7(f6(f6(c21)))),f5(f7(f6(f6(c21))))) ),
    inference(scs_inference,[],[i_0_49,i_0_658,i_0_614,i_0_32,i_0_34]) ).

cnf(i_0_671,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X1,X3)
    | p17(X2,X4)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_672,plain,
    ( ~ p17(f6(f7(f6(f6(c22)))),f6(f7(f6(f6(c22)))))
    | p17(f6(f7(f6(f6(c21)))),f6(f7(f6(f6(c21))))) ),
    inference(scs_inference,[],[i_0_660,i_0_34]) ).

cnf(i_0_673,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X3,X1)
    | p17(X4,X2)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_674,plain,
    p3(f5(f7(f6(c22))),f5(f7(f6(c21)))),
    inference(scs_inference,[],[i_0_598,i_0_43]) ).

cnf(i_0_675,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_676,plain,
    p3(f6(f7(f6(c22))),f6(f7(f6(c21)))),
    inference(scs_inference,[],[i_0_598,i_0_43,i_0_44]) ).

cnf(i_0_677,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_678,plain,
    p3(f7(f7(f6(c22))),f7(f7(f6(c21)))),
    inference(scs_inference,[],[i_0_598,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_679,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_680,plain,
    p2(f13(f7(f7(f6(f6(c22)))),f14(c21,c21)),f13(f7(f7(f6(f6(c21)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_662,i_0_598,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32]) ).

cnf(i_0_681,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_682,plain,
    ( ~ p16(f7(f7(f6(f6(c22)))),f7(f7(f6(f6(c22)))))
    | p16(f7(f7(f6(f6(c21)))),f7(f7(f6(f6(c21))))) ),
    inference(scs_inference,[],[i_0_662,i_0_598,i_0_248,i_0_43,i_0_44,i_0_45,i_0_32,i_0_35]) ).

cnf(i_0_683,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p16(X2,X4)
    | ~ p16(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_684,plain,
    p12(f14(f5(f7(f6(c22))),X1),f14(f5(f7(f6(c21))),X1)),
    inference(scs_inference,[],[i_0_674,i_0_51,i_0_31]) ).

cnf(i_0_685,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X3,X1),f14(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_686,plain,
    ( ~ p16(f5(f7(f6(c22))),f5(f7(f6(c22))))
    | p16(f5(f7(f6(c21))),f5(f7(f6(c21)))) ),
    inference(scs_inference,[],[i_0_674,i_0_51,i_0_31,i_0_35]) ).

cnf(i_0_687,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p16(X4,X1)
    | ~ p3(X4,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_688,plain,
    p12(f14(X1,f6(f7(f6(c22)))),f14(X1,f6(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_676,i_0_51,i_0_31]) ).

cnf(i_0_689,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X1,X3),f14(X2,X4))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_690,plain,
    p2(f13(f7(f7(f6(c22))),X1),f13(f7(f7(f6(c21))),X1)),
    inference(scs_inference,[],[i_0_49,i_0_678,i_0_32]) ).

cnf(i_0_691,plain,
    ( ~ p3(X1,X2)
    | p2(f13(X1,X3),f13(X2,X4))
    | ~ p12(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_692,plain,
    p3(f5(f7(f7(f6(c22)))),f5(f7(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_678,i_0_43]) ).

cnf(i_0_693,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_694,plain,
    p3(f6(f7(f7(f6(c22)))),f6(f7(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_678,i_0_43,i_0_44]) ).

cnf(i_0_695,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_696,plain,
    p3(f7(f7(f7(f6(c22)))),f7(f7(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_678,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_697,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_698,plain,
    ( p18(f13(f6(f6(f6(c21))),f14(f6(c21),f6(c21))),f11(f13(f5(f5(c21)),f14(f5(c21),f5(c21))),X1,X2))
    | ~ p18(f13(f6(f6(f6(c22))),f14(f6(c22),f6(c22))),f11(f13(f5(f5(c22)),f14(f5(c22),f5(c22))),X1,X2)) ),
    inference(scs_inference,[],[i_0_654,i_0_678,i_0_158,i_0_43,i_0_44,i_0_45,i_0_33]) ).

cnf(i_0_699,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_700,plain,
    p2(f13(f5(f7(f7(f6(c22)))),f14(c22,c22)),f13(f5(f7(f7(f6(c21)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_692,i_0_87,i_0_32]) ).

cnf(i_0_701,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_702,plain,
    ( ~ p16(f6(f7(f7(f6(c22)))),f6(f7(f7(f6(c22)))))
    | p16(f6(f7(f7(f6(c21)))),f6(f7(f7(f6(c21))))) ),
    inference(scs_inference,[],[i_0_694,i_0_35]) ).

cnf(i_0_703,plain,
    ( ~ p3(X1,X2)
    | ~ p16(X1,X3)
    | p16(X2,X4)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_704,plain,
    ( ~ p17(f7(f7(f7(f6(c22)))),f7(f7(f7(f6(c22)))))
    | p17(f7(f7(f7(f6(c21)))),f7(f7(f7(f6(c21))))) ),
    inference(scs_inference,[],[i_0_696,i_0_34]) ).

cnf(i_0_705,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X3,X1)
    | p17(X4,X2)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_706,plain,
    ( ~ p16(f7(f7(f7(f6(c22)))),f7(f7(f7(f6(c22)))))
    | p16(f7(f7(f7(f6(c21)))),f7(f7(f7(f6(c21))))) ),
    inference(scs_inference,[],[i_0_696,i_0_34,i_0_35]) ).

cnf(i_0_707,plain,
    ( ~ p3(X1,X2)
    | ~ p16(X3,X1)
    | p16(X4,X2)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_708,plain,
    p2(f13(f6(f7(f6(c22))),X1),f13(f6(f7(f6(c21))),X1)),
    inference(scs_inference,[],[i_0_49,i_0_676,i_0_32]) ).

cnf(i_0_709,plain,
    ( ~ p3(X1,X2)
    | p2(f13(X1,X3),f13(X2,X4))
    | ~ p12(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_710,plain,
    p3(f5(f6(f7(f6(c22)))),f5(f6(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_49,i_0_676,i_0_32,i_0_43]) ).

cnf(i_0_711,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_712,plain,
    p3(f6(f6(f7(f6(c22)))),f6(f6(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_49,i_0_676,i_0_32,i_0_43,i_0_44]) ).

cnf(i_0_713,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_714,plain,
    p3(f7(f6(f7(f6(c22)))),f7(f6(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_49,i_0_676,i_0_32,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_715,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_716,plain,
    ( ~ p17(f6(f6(f7(f5(c22)))),f6(f6(f7(f5(c22)))))
    | p17(f6(f6(f7(f5(c21)))),f6(f6(f7(f5(c21))))) ),
    inference(scs_inference,[],[i_0_49,i_0_298,i_0_676,i_0_32,i_0_43,i_0_44,i_0_45,i_0_34]) ).

cnf(i_0_717,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X1,X3)
    | p17(X2,X4)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_718,plain,
    p10(f11(X1,X2,f11(f13(c22,X3),X4,X5)),f11(X1,X2,f11(f13(c21,X3),X4,X5))),
    inference(scs_inference,[],[i_0_50,i_0_91,i_0_52,i_0_29]) ).

cnf(i_0_719,plain,
    ( ~ p10(X1,X2)
    | ~ p9(X3,X4)
    | ~ p2(X5,X6)
    | p10(f11(X5,X3,X1),f11(X6,X4,X2)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_720,plain,
    p10(f11(X1,X2,f11(X3,X4,f11(f13(c22,X5),X6,X7))),f11(X1,X2,f11(X3,X4,f11(f13(c21,X5),X6,X7)))),
    inference(scs_inference,[],[i_0_50,i_0_718,i_0_52,i_0_29]) ).

cnf(i_0_721,plain,
    ( ~ p9(X1,X2)
    | ~ p2(X3,X4)
    | ~ p10(X5,X6)
    | p10(f11(X3,X1,X5),f11(X4,X2,X6)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_722,plain,
    p2(f13(f5(f6(f7(f6(c22)))),f14(c21,c21)),f13(f5(f6(f7(f6(c21)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_50,i_0_718,i_0_710,i_0_52,i_0_248,i_0_29,i_0_32]) ).

cnf(i_0_723,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_724,plain,
    ( p18(X1,f11(X2,X3,f11(X4,X5,f11(f13(c21,X6),X7,X8))))
    | ~ p18(X1,f11(X2,X3,f11(X4,X5,f11(f13(c22,X6),X7,X8)))) ),
    inference(scs_inference,[],[i_0_50,i_0_720,i_0_33]) ).

cnf(i_0_725,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_726,plain,
    p10(f11(f13(f5(c22),f14(c22,c22)),X1,f11(X2,X3,f11(f13(c22,X4),X5,X6))),f11(f13(f5(c21),f14(c21,c21)),X1,f11(X2,X3,f11(f13(c21,X4),X5,X6)))),
    inference(scs_inference,[],[i_0_718,i_0_114,i_0_52,i_0_29]) ).

cnf(i_0_727,plain,
    ( ~ p2(X1,X2)
    | ~ p9(X3,X4)
    | ~ p10(X5,X6)
    | p10(f11(X1,X3,X5),f11(X2,X4,X6)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_728,plain,
    p3(f5(f5(f5(f6(c22)))),f5(f5(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_718,i_0_114,i_0_614,i_0_52,i_0_29,i_0_43]) ).

cnf(i_0_729,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_730,plain,
    p3(f6(f5(f5(f6(c22)))),f6(f5(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_718,i_0_114,i_0_614,i_0_52,i_0_29,i_0_43,i_0_44]) ).

cnf(i_0_731,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_732,plain,
    p3(f7(f5(f5(f6(c22)))),f7(f5(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_718,i_0_114,i_0_614,i_0_52,i_0_29,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_733,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_734,plain,
    ( ~ p16(f6(f6(f7(f6(c22)))),f6(f6(f7(f6(c22)))))
    | p16(f6(f6(f7(f6(c21)))),f6(f6(f7(f6(c21))))) ),
    inference(scs_inference,[],[i_0_712,i_0_35]) ).

cnf(i_0_735,plain,
    ( ~ p3(X1,X2)
    | ~ p16(X3,X1)
    | p16(X4,X2)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_736,plain,
    p2(f13(f7(f5(f5(f6(c22)))),f14(c22,c22)),f13(f7(f5(f5(f6(c21)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_732,i_0_87,i_0_32]) ).

cnf(i_0_737,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_738,plain,
    p3(f5(f7(f5(f6(c22)))),f5(f7(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_732,i_0_618,i_0_87,i_0_32,i_0_43]) ).

cnf(i_0_739,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_740,plain,
    p3(f6(f7(f5(f6(c22)))),f6(f7(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_732,i_0_618,i_0_87,i_0_32,i_0_43,i_0_44]) ).

cnf(i_0_741,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_742,plain,
    p3(f7(f7(f5(f6(c22)))),f7(f7(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_732,i_0_618,i_0_87,i_0_32,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_743,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_744,plain,
    ( ~ p17(f7(f5(f5(f6(c22)))),f7(f5(f5(f6(c22)))))
    | p17(f7(f5(f5(f6(c21)))),f7(f5(f5(f6(c21))))) ),
    inference(scs_inference,[],[i_0_732,i_0_618,i_0_87,i_0_32,i_0_43,i_0_44,i_0_45,i_0_34]) ).

cnf(i_0_745,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X3,X1)
    | p17(X4,X2)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_746,plain,
    ( ~ p16(f7(f5(f5(f6(c22)))),f7(f5(f5(f6(c22)))))
    | p16(f7(f5(f5(f6(c21)))),f7(f5(f5(f6(c21))))) ),
    inference(scs_inference,[],[i_0_732,i_0_618,i_0_87,i_0_32,i_0_43,i_0_44,i_0_45,i_0_34,i_0_35]) ).

cnf(i_0_747,plain,
    ( ~ p3(X1,X2)
    | ~ p16(X1,X3)
    | p16(X2,X4)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_748,plain,
    ( ~ p17(f5(f7(f5(f6(c22)))),f5(f7(f5(f6(c22)))))
    | p17(f5(f7(f5(f6(c21)))),f5(f7(f5(f6(c21))))) ),
    inference(scs_inference,[],[i_0_738,i_0_34]) ).

cnf(i_0_749,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X1,X3)
    | p17(X2,X4)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_750,plain,
    ( p16(X1,f4(c20))
    | ~ p3(f5(f6(f7(c19))),X1) ),
    inference(scs_inference,[],[i_0_738,i_0_47,i_0_51,i_0_34,i_0_35]) ).

cnf(i_0_751,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_752,plain,
    ( ~ p16(X1,X2)
    | p16(X3,X4)
    | ~ p3(X2,X4)
    | ~ p3(X1,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_753,plain,
    ( p18(X1,f11(f13(f5(c21),f14(c21,c21)),X2,f11(X3,X4,f11(f13(c21,X5),X6,X7))))
    | ~ p18(X1,f11(f13(f5(c22),f14(c22,c22)),X2,f11(X3,X4,f11(f13(c22,X5),X6,X7)))) ),
    inference(scs_inference,[],[i_0_50,i_0_726,i_0_33]) ).

cnf(i_0_754,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_755,plain,
    p3(f5(f5(f7(f6(c22)))),f5(f5(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_674,i_0_43]) ).

cnf(i_0_756,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_757,plain,
    p3(f6(f5(f7(f6(c22)))),f6(f5(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_674,i_0_43,i_0_44]) ).

cnf(i_0_758,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_759,plain,
    p3(f7(f5(f7(f6(c22)))),f7(f5(f7(f6(c21))))),
    inference(scs_inference,[],[i_0_674,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_760,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_761,plain,
    ( ~ p16(f6(f7(f5(f6(c22)))),f6(f7(f5(f6(c22)))))
    | p16(f6(f7(f5(f6(c21)))),f6(f7(f5(f6(c21))))) ),
    inference(scs_inference,[],[i_0_740,i_0_674,i_0_43,i_0_44,i_0_45,i_0_35]) ).

cnf(i_0_762,plain,
    ( ~ p3(X1,X2)
    | p16(X3,X2)
    | ~ p3(X4,X3)
    | ~ p16(X4,X1) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_763,plain,
    ( ~ p16(f7(f7(f5(f6(c22)))),f7(f7(f5(f6(c22)))))
    | p16(f7(f7(f5(f6(c21)))),f7(f7(f5(f6(c21))))) ),
    inference(scs_inference,[],[i_0_742,i_0_35]) ).

cnf(i_0_764,plain,
    ( ~ p3(X1,X2)
    | p16(X2,X3)
    | ~ p16(X1,X4)
    | ~ p3(X4,X3) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_765,plain,
    p12(f14(X1,f6(f5(f6(c21)))),f14(X1,f6(f5(f6(c22))))),
    inference(scs_inference,[],[i_0_628,i_0_49,i_0_36]) ).

cnf(i_0_766,plain,
    p12(X1,X1),
    inference(rename_variables,[],[i_0_49]) ).

cnf(i_0_767,plain,
    ( ~ p12(X1,X2)
    | p12(X3,X2)
    | ~ p12(X1,X3) ),
    inference(rename_variables,[],[i_0_36]) ).

cnf(i_0_768,plain,
    p2(f13(f7(f5(f5(f6(c21)))),f14(c21,c21)),f13(f7(f5(f5(f6(c22)))),f14(c22,c22))),
    inference(scs_inference,[],[i_0_736,i_0_628,i_0_49,i_0_50,i_0_36,i_0_37]) ).

cnf(i_0_769,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_770,plain,
    ( ~ p2(X1,X2)
    | p2(X3,X2)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_37]) ).

cnf(i_0_771,plain,
    ~ p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
    inference(scs_inference,[],[i_0_99,i_0_736,i_0_628,i_0_53,i_0_49,i_0_50,i_0_36,i_0_37,i_0_40]) ).

cnf(i_0_772,plain,
    p10(X1,X1),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_773,plain,
    ( ~ p10(X1,X2)
    | p10(X3,X2)
    | ~ p10(X1,X3) ),
    inference(rename_variables,[],[i_0_40]) ).

cnf(i_0_774,plain,
    p2(f13(X1,f14(f6(f6(c22)),f6(f6(c22)))),f13(X1,f14(f6(f6(c21)),f6(f6(c21))))),
    inference(scs_inference,[],[i_0_51,i_0_99,i_0_736,i_0_628,i_0_606,i_0_53,i_0_49,i_0_50,i_0_36,i_0_37,i_0_40,i_0_32]) ).

cnf(i_0_775,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_776,plain,
    p3(f5(f6(f5(f6(c22)))),f5(f6(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_616,i_0_43]) ).

cnf(i_0_777,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_778,plain,
    p3(f6(f6(f5(f6(c22)))),f6(f6(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_616,i_0_43,i_0_44]) ).

cnf(i_0_779,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_780,plain,
    p3(f7(f6(f5(f6(c22)))),f7(f6(f5(f6(c21))))),
    inference(scs_inference,[],[i_0_616,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_781,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_782,plain,
    ( ~ p17(f7(f6(f5(f6(c22)))),f7(f6(f5(f6(c22)))))
    | p17(f7(f6(f5(f6(c21)))),f7(f6(f5(f6(c21))))) ),
    inference(scs_inference,[],[i_0_780,i_0_34]) ).

cnf(i_0_783,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X3,X1)
    | p17(X4,X2)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_784,plain,
    ( p18(f13(f7(f5(f5(f6(c22)))),f14(c22,c22)),f11(X1,X2,f11(X3,X4,f11(f13(c21,X5),X6,X7))))
    | ~ p18(f13(f7(f5(f5(f6(c21)))),f14(c21,c21)),f11(X1,X2,f11(X3,X4,f11(f13(c22,X5),X6,X7)))) ),
    inference(scs_inference,[],[i_0_780,i_0_768,i_0_720,i_0_34,i_0_33]) ).

cnf(i_0_785,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_786,plain,
    ( ~ p17(f5(f6(f5(f6(c22)))),f5(f6(f5(f6(c22)))))
    | p17(f5(f6(f5(f6(c21)))),f5(f6(f5(f6(c21))))) ),
    inference(scs_inference,[],[i_0_776,i_0_34]) ).

cnf(i_0_787,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X1,X3)
    | p17(X2,X4)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_788,plain,
    ( p18(f13(X1,f14(f6(f6(c21)),f6(f6(c21)))),f11(f13(f5(c21),f14(c21,c21)),X2,f11(X3,X4,f11(f13(c21,X5),X6,X7))))
    | ~ p18(f13(X1,f14(f6(f6(c22)),f6(f6(c22)))),f11(f13(f5(c22),f14(c22,c22)),X2,f11(X3,X4,f11(f13(c22,X5),X6,X7)))) ),
    inference(scs_inference,[],[i_0_774,i_0_726,i_0_33]) ).

cnf(i_0_789,plain,
    ( ~ p2(X1,X2)
    | p18(X2,X3)
    | ~ p18(X1,X4)
    | ~ p10(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_790,plain,
    ( ~ p16(f6(f6(f5(f6(c22)))),f6(f6(f5(f6(c22)))))
    | p16(f6(f6(f5(f6(c21)))),f6(f6(f5(f6(c21))))) ),
    inference(scs_inference,[],[i_0_778,i_0_774,i_0_726,i_0_33,i_0_35]) ).

cnf(i_0_791,plain,
    ( ~ p3(X1,X2)
    | ~ p16(X3,X1)
    | p16(X4,X2)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_792,plain,
    p3(f5(f5(f6(f6(c22)))),f5(f5(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_638,i_0_43]) ).

cnf(i_0_793,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_794,plain,
    p3(f6(f5(f6(f6(c22)))),f6(f5(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_638,i_0_43,i_0_44]) ).

cnf(i_0_795,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_796,plain,
    p3(f7(f5(f6(f6(c22)))),f7(f5(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_638,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_797,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_798,plain,
    p10(f11(f13(c22,X1),X2,f11(X3,X4,f11(f13(c22,X5),X6,X7))),f11(f13(c21,X1),X2,f11(X3,X4,f11(f13(c21,X5),X6,X7)))),
    inference(scs_inference,[],[i_0_718,i_0_638,i_0_89,i_0_52,i_0_43,i_0_44,i_0_45,i_0_29]) ).

cnf(i_0_799,plain,
    ( ~ p2(X1,X2)
    | ~ p10(X3,X4)
    | ~ p9(X5,X6)
    | p10(f11(X1,X5,X3),f11(X2,X6,X4)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_800,plain,
    ( ~ p16(f5(f5(f7(f6(c22)))),f5(f5(f7(f6(c22)))))
    | p16(f5(f5(f7(f6(c21)))),f5(f5(f7(f6(c21))))) ),
    inference(scs_inference,[],[i_0_755,i_0_718,i_0_638,i_0_89,i_0_52,i_0_43,i_0_44,i_0_45,i_0_29,i_0_35]) ).

cnf(i_0_801,plain,
    ( ~ p3(X1,X2)
    | ~ p16(X1,X3)
    | p16(X2,X4)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_802,plain,
    p2(f13(f6(f7(f6(c21))),X1),f13(f6(f7(f6(c22))),X1)),
    inference(scs_inference,[],[i_0_708,i_0_50,i_0_37]) ).

cnf(i_0_803,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_804,plain,
    ( ~ p2(X1,X2)
    | p2(X3,X2)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_37]) ).

cnf(i_0_805,plain,
    p2(f13(X1,f14(f7(f6(c22)),f7(f6(c22)))),f13(X1,f14(f7(f6(c21)),f7(f6(c21))))),
    inference(scs_inference,[],[i_0_51,i_0_708,i_0_622,i_0_50,i_0_37,i_0_32]) ).

cnf(i_0_806,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_807,plain,
    p3(f5(f5(f6(f6(c21)))),f5(f5(f6(f6(c22))))),
    inference(scs_inference,[],[i_0_792,i_0_51,i_0_38]) ).

cnf(i_0_808,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_809,plain,
    ( ~ p3(X1,X2)
    | p3(X3,X2)
    | ~ p3(X1,X3) ),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_810,plain,
    p3(f5(f6(f6(f6(c22)))),f5(f6(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_640,i_0_43]) ).

cnf(i_0_811,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_812,plain,
    p3(f6(f6(f6(f6(c22)))),f6(f6(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_640,i_0_43,i_0_44]) ).

cnf(i_0_813,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_814,plain,
    p3(f7(f6(f6(f6(c22)))),f7(f6(f6(f6(c21))))),
    inference(scs_inference,[],[i_0_640,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_815,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_816,plain,
    ( p18(f13(f6(f7(f6(c22))),X1),f11(f13(c21,X2),X3,f11(X4,X5,f11(f13(c21,X6),X7,X8))))
    | ~ p18(f13(f6(f7(f6(c21))),X1),f11(f13(c22,X2),X3,f11(X4,X5,f11(f13(c22,X6),X7,X8)))) ),
    inference(scs_inference,[],[i_0_802,i_0_798,i_0_33]) ).

cnf(i_0_817,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_818,plain,
    ( ~ p17(f5(f5(f6(f6(c21)))),f5(f5(f6(f6(c21)))))
    | p17(f5(f5(f6(f6(c22)))),f5(f5(f6(f6(c22))))) ),
    inference(scs_inference,[],[i_0_807,i_0_34]) ).

cnf(i_0_819,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X3,X1)
    | p17(X4,X2)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_820,plain,
    ( p18(f13(X1,f14(f7(f6(c21)),f7(f6(c21)))),f11(f13(c21,X2),X3,f11(X4,X5,f11(f13(c21,X6),X7,X8))))
    | ~ p18(f13(X1,f14(f7(f6(c22)),f7(f6(c22)))),f11(f13(c22,X2),X3,f11(X4,X5,f11(f13(c22,X6),X7,X8)))) ),
    inference(scs_inference,[],[i_0_805,i_0_798,i_0_33]) ).

cnf(i_0_821,plain,
    ( ~ p2(X1,X2)
    | p18(X2,X3)
    | ~ p18(X1,X4)
    | ~ p10(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_822,plain,
    ( ~ p17(f7(f6(f6(f6(c22)))),f7(f6(f6(f6(c22)))))
    | p17(f7(f6(f6(f6(c21)))),f7(f6(f6(f6(c21))))) ),
    inference(scs_inference,[],[i_0_814,i_0_805,i_0_798,i_0_33,i_0_34]) ).

cnf(i_0_823,plain,
    ( ~ p3(X1,X2)
    | ~ p17(X1,X3)
    | p17(X2,X4)
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_824,plain,
    p3(f5(c21),f5(c22)),
    inference(scs_inference,[],[i_0_55,i_0_43]) ).

cnf(i_0_825,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_826,plain,
    p3(f6(c21),f6(c22)),
    inference(scs_inference,[],[i_0_55,i_0_43,i_0_44]) ).

cnf(i_0_827,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_828,plain,
    p3(f7(c21),f7(c22)),
    inference(scs_inference,[],[i_0_55,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_829,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_830,plain,
    ( ~ p16(f6(f5(f6(f6(c22)))),f6(f5(f6(f6(c22)))))
    | p16(f6(f5(f6(f6(c21)))),f6(f5(f6(f6(c21))))) ),
    inference(scs_inference,[],[i_0_794,i_0_55,i_0_43,i_0_44,i_0_45,i_0_35]) ).

cnf(i_0_831,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | ~ p16(X1,X3)
    | p16(X2,X4) ),
    inference(rename_variables,[],[i_0_35]) ).

cnf(i_0_832,plain,
    p12(f14(f5(c21),f5(c21)),f14(f5(c22),f5(c22))),
    inference(scs_inference,[],[i_0_794,i_0_55,i_0_43,i_0_44,i_0_45,i_0_35,i_0_31]) ).

cnf(i_0_833,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X3,X1),f14(X4,X2)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_834,plain,
    p12(f14(f6(c21),f6(c21)),f14(f6(c22),f6(c22))),
    inference(scs_inference,[],[i_0_826,i_0_31]) ).

cnf(i_0_835,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X1,X3),f14(X2,X4))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_836,plain,
    p2(f13(f5(c21),f14(f5(c21),f5(c21))),f13(f5(c22),f14(f5(c22),f5(c22)))),
    inference(scs_inference,[],[i_0_824,i_0_826,i_0_832,i_0_31,i_0_32]) ).

cnf(i_0_837,plain,
    ( ~ p3(X1,X2)
    | ~ p12(X3,X4)
    | p2(f13(X1,X3),f13(X2,X4)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_838,plain,
    p2(f13(f5(f6(f7(f6(c21)))),f14(c22,c22)),f13(f5(f6(f7(f6(c22)))),f14(c21,c21))),
    inference(scs_inference,[],[i_0_824,i_0_826,i_0_832,i_0_722,i_0_50,i_0_31,i_0_32,i_0_37]) ).

cnf(i_0_839,plain,
    p2(X1,X1),
    inference(rename_variables,[],[i_0_50]) ).

cnf(i_0_840,plain,
    ( ~ p2(X1,X2)
    | p2(X3,X2)
    | ~ p2(X1,X3) ),
    inference(rename_variables,[],[i_0_37]) ).

cnf(i_0_841,plain,
    p3(f15(f13(f5(c21),f14(f5(c21),f5(c21)))),f15(f13(f5(c22),f14(f5(c22),f5(c22))))),
    inference(scs_inference,[],[i_0_836,i_0_41]) ).

cnf(i_0_842,plain,
    ( ~ p2(X1,X2)
    | p3(f15(X1),f15(X2)) ),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_843,plain,
    p3(f4(f13(f5(c21),f14(f5(c21),f5(c21)))),f4(f13(f5(c22),f14(f5(c22),f5(c22))))),
    inference(scs_inference,[],[i_0_836,i_0_41,i_0_42]) ).

cnf(i_0_844,plain,
    ( ~ p2(X1,X2)
    | p3(f4(X1),f4(X2)) ),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_845,plain,
    p3(f8(f13(f5(c21),f14(f5(c21),f5(c21)))),f8(f13(f5(c22),f14(f5(c22),f5(c22))))),
    inference(scs_inference,[],[i_0_836,i_0_41,i_0_42,i_0_46]) ).

cnf(i_0_846,plain,
    ( ~ p2(X1,X2)
    | p3(f8(X1),f8(X2)) ),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_847,plain,
    p2(f13(f7(c21),f14(f6(c21),f6(c21))),f13(f7(c22),f14(f6(c22),f6(c22)))),
    inference(scs_inference,[],[i_0_828,i_0_834,i_0_836,i_0_41,i_0_42,i_0_46,i_0_32]) ).

cnf(i_0_848,plain,
    ( ~ p12(X1,X2)
    | p2(f13(X3,X1),f13(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_849,plain,
    p10(f11(f13(f5(c21),f14(f5(c21),f5(c21))),X1,X2),f11(f13(f5(c22),f14(f5(c22),f5(c22))),X1,X2)),
    inference(scs_inference,[],[i_0_52,i_0_828,i_0_834,i_0_836,i_0_53,i_0_41,i_0_42,i_0_46,i_0_32,i_0_29]) ).

cnf(i_0_850,plain,
    ( ~ p10(X1,X2)
    | ~ p9(X3,X4)
    | ~ p2(X5,X6)
    | p10(f11(X5,X3,X1),f11(X6,X4,X2)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_851,plain,
    p3(f15(f13(f5(c22),f14(f5(c22),f5(c22)))),f15(f13(f5(c21),f14(f5(c21),f5(c21))))),
    inference(scs_inference,[],[i_0_841,i_0_51,i_0_38]) ).

cnf(i_0_852,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_853,plain,
    ( ~ p3(X1,X2)
    | p3(X3,X2)
    | ~ p3(X1,X3) ),
    inference(rename_variables,[],[i_0_38]) ).

cnf(i_0_854,plain,
    p3(f5(f5(c21)),f5(f5(c22))),
    inference(scs_inference,[],[i_0_824,i_0_43]) ).

cnf(i_0_855,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_856,plain,
    p3(f6(f5(c21)),f6(f5(c22))),
    inference(scs_inference,[],[i_0_824,i_0_43,i_0_44]) ).

cnf(i_0_857,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_858,plain,
    p3(f7(f5(c21)),f7(f5(c22))),
    inference(scs_inference,[],[i_0_824,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_859,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_860,plain,
    p12(f14(f7(f5(c21)),f7(f5(c21))),f14(f7(f5(c22)),f7(f5(c22)))),
    inference(scs_inference,[],[i_0_858,i_0_31]) ).

cnf(i_0_861,plain,
    ( ~ p3(X1,X2)
    | ~ p3(X3,X4)
    | p12(f14(X1,X3),f14(X2,X4)) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_862,plain,
    ( p18(f13(f7(c22),f14(f6(c22),f6(c22))),f11(f13(f5(c22),f14(f5(c22),f5(c22))),X1,X2))
    | ~ p18(f13(f7(c21),f14(f6(c21),f6(c21))),f11(f13(f5(c21),f14(f5(c21),f5(c21))),X1,X2)) ),
    inference(scs_inference,[],[i_0_858,i_0_847,i_0_849,i_0_31,i_0_33]) ).

cnf(i_0_863,plain,
    ( ~ p10(X1,X2)
    | p18(X3,X2)
    | ~ p18(X4,X1)
    | ~ p2(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_864,plain,
    p12(f14(f5(f5(c21)),f5(f5(c21))),f14(f5(f5(c22)),f5(f5(c22)))),
    inference(scs_inference,[],[i_0_854,i_0_31]) ).

cnf(i_0_865,plain,
    ( ~ p3(X1,X2)
    | p12(f14(X3,X1),f14(X4,X2))
    | ~ p3(X3,X4) ),
    inference(rename_variables,[],[i_0_31]) ).

cnf(i_0_866,plain,
    p3(f15(f13(f7(c21),f14(f6(c21),f6(c21)))),f15(f13(f7(c22),f14(f6(c22),f6(c22))))),
    inference(scs_inference,[],[i_0_854,i_0_847,i_0_31,i_0_41]) ).

cnf(i_0_867,plain,
    ( ~ p2(X1,X2)
    | p3(f15(X1),f15(X2)) ),
    inference(rename_variables,[],[i_0_41]) ).

cnf(i_0_868,plain,
    p3(f4(f13(f7(c21),f14(f6(c21),f6(c21)))),f4(f13(f7(c22),f14(f6(c22),f6(c22))))),
    inference(scs_inference,[],[i_0_854,i_0_847,i_0_31,i_0_41,i_0_42]) ).

cnf(i_0_869,plain,
    ( ~ p2(X1,X2)
    | p3(f4(X1),f4(X2)) ),
    inference(rename_variables,[],[i_0_42]) ).

cnf(i_0_870,plain,
    p3(f8(f13(f7(c21),f14(f6(c21),f6(c21)))),f8(f13(f7(c22),f14(f6(c22),f6(c22))))),
    inference(scs_inference,[],[i_0_854,i_0_847,i_0_31,i_0_41,i_0_42,i_0_46]) ).

cnf(i_0_871,plain,
    ( ~ p2(X1,X2)
    | p3(f8(X1),f8(X2)) ),
    inference(rename_variables,[],[i_0_46]) ).

cnf(i_0_872,plain,
    p2(f13(f5(f5(c21)),f14(f5(c21),f5(c21))),f13(f5(f5(c22)),f14(f5(c22),f5(c22)))),
    inference(scs_inference,[],[i_0_854,i_0_832,i_0_847,i_0_31,i_0_41,i_0_42,i_0_46,i_0_32]) ).

cnf(i_0_873,plain,
    ( ~ p12(X1,X2)
    | ~ p3(X3,X4)
    | p2(f13(X3,X1),f13(X4,X2)) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_874,plain,
    p10(f11(f13(f4(f13(c22,X1)),f14(f6(c22),f6(c22))),X2,X3),f11(f13(f4(f13(c21,X1)),f14(f6(c21),f6(c21))),X2,X3)),
    inference(scs_inference,[],[i_0_53,i_0_854,i_0_374,i_0_832,i_0_847,i_0_52,i_0_31,i_0_41,i_0_42,i_0_46,i_0_32,i_0_29]) ).

cnf(i_0_875,plain,
    ( ~ p2(X1,X2)
    | ~ p9(X3,X4)
    | ~ p10(X5,X6)
    | p10(f11(X1,X3,X5),f11(X2,X4,X6)) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_876,plain,
    p2(f13(f7(c21),f14(f7(f5(c21)),f7(f5(c21)))),f13(f7(c22),f14(f7(f5(c22)),f7(f5(c22))))),
    inference(scs_inference,[],[i_0_860,i_0_828,i_0_32]) ).

cnf(i_0_877,plain,
    ( ~ p3(X1,X2)
    | p2(f13(X1,X3),f13(X2,X4))
    | ~ p12(X3,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_878,plain,
    ~ p2(f13(f15(c20),f14(f4(c20),c22)),f13(f15(c20),f14(f4(c20),c21))),
    inference(scs_inference,[],[i_0_53,i_0_860,i_0_771,i_0_828,i_0_52,i_0_32,i_0_29]) ).

cnf(i_0_879,plain,
    p9(X1,X1),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_880,plain,
    p10(X1,X1),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_881,plain,
    ( ~ p9(X1,X2)
    | ~ p10(X3,X4)
    | p10(f11(X5,X1,X3),f11(X6,X2,X4))
    | ~ p2(X5,X6) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_882,plain,
    ( p18(f13(f5(f5(c22)),f14(f5(c22),f5(c22))),X1)
    | ~ p18(f13(f5(f5(c21)),f14(f5(c21),f5(c21))),X1) ),
    inference(scs_inference,[],[i_0_53,i_0_880,i_0_860,i_0_872,i_0_771,i_0_828,i_0_52,i_0_32,i_0_29,i_0_33]) ).

cnf(i_0_883,plain,
    ( ~ p2(X1,X2)
    | p18(X2,X3)
    | ~ p18(X1,X4)
    | ~ p10(X4,X3) ),
    inference(rename_variables,[],[i_0_33]) ).

cnf(i_0_884,plain,
    ( ~ p18(f13(f5(f5(c21)),f14(f5(c21),f5(c21))),f11(f13(f5(c22),f14(c22,c22)),X1,f11(X2,X3,f11(f13(c22,X4),X5,X6))))
    | p18(f13(f5(f5(c22)),f14(f5(c22),f5(c22))),f11(f13(f5(c21),f14(c21,c21)),X1,f11(X2,X3,f11(f13(c21,X4),X5,X6)))) ),
    inference(scs_inference,[],[i_0_53,i_0_880,i_0_860,i_0_872,i_0_771,i_0_828,i_0_52,i_0_32,i_0_29,i_0_33,i_0_753]) ).

cnf(i_0_885,plain,
    ( ~ p18(X1,f11(f13(f5(c22),f14(c22,c22)),X2,f11(X3,X4,f11(f13(c22,X5),X6,X7))))
    | p18(X1,f11(f13(f5(c21),f14(c21,c21)),X2,f11(X3,X4,f11(f13(c21,X5),X6,X7)))) ),
    inference(rename_variables,[],[i_0_753]) ).

cnf(i_0_886,plain,
    ~ p12(f14(f4(c20),c22),f14(f4(c20),c21)),
    inference(scs_inference,[],[i_0_878,i_0_51,i_0_32]) ).

cnf(i_0_887,plain,
    p3(X1,X1),
    inference(rename_variables,[],[i_0_51]) ).

cnf(i_0_888,plain,
    ( p2(f13(X1,X2),f13(X3,X4))
    | ~ p3(X1,X3)
    | ~ p12(X2,X4) ),
    inference(rename_variables,[],[i_0_32]) ).

cnf(i_0_889,plain,
    ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))),
    inference(scs_inference,[],[i_0_53,i_0_878,i_0_99,i_0_52,i_0_51,i_0_32,i_0_29]) ).

cnf(i_0_890,plain,
    p10(X1,X1),
    inference(rename_variables,[],[i_0_53]) ).

cnf(i_0_891,plain,
    p9(X1,X1),
    inference(rename_variables,[],[i_0_52]) ).

cnf(i_0_892,plain,
    ( ~ p10(X1,X2)
    | p10(f11(X3,X4,X1),f11(X5,X6,X2))
    | ~ p2(X3,X5)
    | ~ p9(X4,X6) ),
    inference(rename_variables,[],[i_0_29]) ).

cnf(i_0_893,plain,
    p3(f5(f6(f5(c21))),f5(f6(f5(c22)))),
    inference(scs_inference,[],[i_0_53,i_0_878,i_0_856,i_0_99,i_0_52,i_0_51,i_0_32,i_0_29,i_0_43]) ).

cnf(i_0_894,plain,
    ( ~ p3(X1,X2)
    | p3(f5(X1),f5(X2)) ),
    inference(rename_variables,[],[i_0_43]) ).

cnf(i_0_895,plain,
    p3(f6(f6(f5(c21))),f6(f6(f5(c22)))),
    inference(scs_inference,[],[i_0_53,i_0_878,i_0_856,i_0_99,i_0_52,i_0_51,i_0_32,i_0_29,i_0_43,i_0_44]) ).

cnf(i_0_896,plain,
    ( ~ p3(X1,X2)
    | p3(f6(X1),f6(X2)) ),
    inference(rename_variables,[],[i_0_44]) ).

cnf(i_0_897,plain,
    p3(f7(f6(f5(c21))),f7(f6(f5(c22)))),
    inference(scs_inference,[],[i_0_53,i_0_878,i_0_856,i_0_99,i_0_52,i_0_51,i_0_32,i_0_29,i_0_43,i_0_44,i_0_45]) ).

cnf(i_0_898,plain,
    ( ~ p3(X1,X2)
    | p3(f7(X1),f7(X2)) ),
    inference(rename_variables,[],[i_0_45]) ).

cnf(i_0_899,plain,
    $false,
    inference(scs_inference,[],[i_0_53,i_0_878,i_0_856,i_0_99,i_0_62,i_0_52,i_0_51,i_0_887,i_0_32,i_0_29,i_0_43,i_0_44,i_0_45,i_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN597-1 : 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
% 0.17/0.32  % Computer : n031.cluster.edu
% 0.17/0.32  % Model    : x86_64 x86_64
% 0.17/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.32  % Memory   : 8042.1875MB
% 0.17/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.32  % CPULimit   : 300
% 0.17/0.32  % WCLimit    : 300
% 0.17/0.32  % DateTime   : Tue May  5 08:42:38 EDT 2026
% 0.17/0.32  % CPUTime    : 
% 0.17/0.33  % start to proof: theBenchmark
% 59.45/30.67  % Version  : CSE_E---1.7
% 59.45/30.67  % Problem  : theBenchmark.p
% 59.45/30.67  % SZS status Unsatisfiable for theBenchmark.p
% 59.45/30.67  % SZS output start CNFRefutation
% See solution above
% 61.00/31.41  % Total time : 30.329s
%------------------------------------------------------------------------------