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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : PUZ030-2 : TPTP v9.2.1. Released v1.0.0.
% 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 : n016.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 05:02:42 PM UTC 2026

% Result   : Unsatisfiable 0.58s 1.61s
% Output   : CNFRefutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   59
%            Number of leaves      :   63
% Syntax   : Number of clauses     :  549 (  66 unt; 229 nHn; 549 RR)
%            Number of literals    : 1471 (   0 equ; 738 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   11 (  10 usr;  11 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_who_takes_what,negated_conjecture,
    ( salt_lang
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | mustard_mill
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill
    | ~ mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_who_takes_what) ).

cnf(c49,hypothesis,
    ( ~ mustard_mill
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c49) ).

cnf(c54,hypothesis,
    ( ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_lang
    | ~ salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c54) ).

cnf(c51,hypothesis,
    ( ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c51) ).

cnf(c52,hypothesis,
    ( salt_dix
    | mustard_dix
    | ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c52) ).

cnf(c55,hypothesis,
    ( salt_lang
    | mustard_lang
    | ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c55) ).

cnf(c53,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_lang
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c53) ).

cnf(c45,hypothesis,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c45) ).

cnf(c46,hypothesis,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c46) ).

cnf(c50,hypothesis,
    ( salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c50) ).

cnf(c47,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c47) ).

cnf(c48,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c48) ).

cnf(c11,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).

cnf(c9,hypothesis,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).

cnf(c7,hypothesis,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).

cnf(c5,hypothesis,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).

cnf(c12,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).

cnf(c10,hypothesis,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).

cnf(c8,hypothesis,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).

cnf(c6,hypothesis,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).

cnf(c35,hypothesis,
    ( salt_dix
    | ~ salt_cole
    | ~ mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c35) ).

cnf(c16,hypothesis,
    ( salt_cole
    | ~ salt_dix
    | ~ salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).

cnf(c14,hypothesis,
    ( salt_cole
    | ~ salt_dix
    | ~ mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14) ).

cnf(c23,hypothesis,
    ( mustard_mill
    | ~ mustard_barry
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c23) ).

cnf(c21,hypothesis,
    ( mustard_mill
    | ~ mustard_barry
    | ~ mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21) ).

cnf(c37,hypothesis,
    ( mustard_cole
    | ~ salt_dix
    | ~ mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c37) ).

cnf(c15,hypothesis,
    ( mustard_cole
    | ~ salt_dix
    | ~ salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15) ).

cnf(c36,hypothesis,
    ( mustard_cole
    | ~ salt_lang
    | ~ mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c36) ).

cnf(c13,hypothesis,
    ( mustard_cole
    | ~ salt_dix
    | ~ mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).

cnf(c40,hypothesis,
    ( mustard_barry
    | ~ salt_mill
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c40) ).

cnf(c29,hypothesis,
    ( salt_mill
    | ~ salt_lang
    | ~ mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c29) ).

cnf(c24,hypothesis,
    ( salt_mill
    | ~ mustard_barry
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c24) ).

cnf(c22,hypothesis,
    ( salt_mill
    | ~ mustard_barry
    | ~ mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22) ).

cnf(c30,hypothesis,
    ( salt_mill
    | ~ salt_barry
    | ~ mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c30) ).

cnf(c25,hypothesis,
    ( salt_dix
    | mustard_mill
    | ~ mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c25) ).

cnf(c26,hypothesis,
    ( mustard_dix
    | mustard_mill
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c26) ).

cnf(c27,hypothesis,
    ( salt_cole
    | mustard_mill
    | ~ mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c27) ).

cnf(c28,hypothesis,
    ( mustard_cole
    | mustard_mill
    | ~ salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c28) ).

cnf(c43,hypothesis,
    ( salt_cole
    | salt_barry
    | ~ mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43) ).

cnf(c38,hypothesis,
    ( salt_barry
    | salt_cole
    | ~ mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c38) ).

cnf(c44,hypothesis,
    ( mustard_cole
    | salt_barry
    | ~ salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c44) ).

cnf(c31,hypothesis,
    ( salt_dix
    | salt_lang
    | ~ mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c31) ).

cnf(c20,hypothesis,
    ( salt_dix
    | salt_lang
    | ~ mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c20) ).

cnf(c32,hypothesis,
    ( mustard_dix
    | salt_lang
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c32) ).

cnf(c18,hypothesis,
    ( mustard_dix
    | salt_lang
    | ~ mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).

cnf(c41,hypothesis,
    ( salt_lang
    | salt_barry
    | ~ mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c41) ).

cnf(c33,hypothesis,
    ( salt_barry
    | salt_lang
    | ~ mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c33) ).

cnf(c4,hypothesis,
    ( salt_barry
    | salt_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).

cnf(c19,hypothesis,
    ( salt_dix
    | mustard_lang
    | ~ mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).

cnf(c17,hypothesis,
    ( mustard_dix
    | mustard_lang
    | ~ mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).

cnf(c42,hypothesis,
    ( mustard_lang
    | salt_barry
    | ~ salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c42) ).

cnf(c3,hypothesis,
    ( salt_barry
    | mustard_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).

cnf(c39,hypothesis,
    ( mustard_barry
    | salt_cole
    | ~ salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c39) ).

cnf(c34,hypothesis,
    ( mustard_barry
    | salt_lang
    | ~ salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c34) ).

cnf(c2,hypothesis,
    ( mustard_barry
    | salt_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).

cnf(c1,hypothesis,
    ( mustard_barry
    | mustard_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

cnf(c57,hypothesis,
    ( salt_cole
    | mustard_cole
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c57) ).

cnf(c59,hypothesis,
    ( salt_lang
    | mustard_lang
    | mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c59) ).

cnf(c62,hypothesis,
    ( salt_dix
    | mustard_dix
    | mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c62) ).

cnf(c60,hypothesis,
    ( salt_barry
    | mustard_barry
    | salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c60) ).

cnf(c58,hypothesis,
    ( salt_mill
    | mustard_mill
    | mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c58) ).

cnf(c61,hypothesis,
    ( salt_mill
    | mustard_mill
    | salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c61) ).

cnf(c56,hypothesis,
    ( salt_mill
    | mustard_mill
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56) ).

cnf(i_0_63,negated_conjecture,
    ( salt_lang
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | mustard_mill
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill
    | ~ mustard_lang ),
    prove_who_takes_what,
    [final] ).

cnf(i_0_64,hypothesis,
    ( ~ mustard_mill
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_dix
    | ~ salt_dix ),
    c49,
    [final] ).

cnf(i_0_65,hypothesis,
    ( ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_lang
    | ~ salt_lang ),
    c54,
    [final] ).

cnf(i_0_66,hypothesis,
    ( ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_dix
    | ~ salt_dix ),
    c51,
    [final] ).

cnf(i_0_67,hypothesis,
    ( salt_dix
    | mustard_dix
    | ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry ),
    c52,
    [final] ).

cnf(i_0_68,hypothesis,
    ( salt_lang
    | mustard_lang
    | ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole ),
    c55,
    [final] ).

cnf(i_0_69,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_lang
    | ~ mustard_dix
    | ~ salt_dix ),
    c53,
    [final] ).

cnf(i_0_70,hypothesis,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_mill ),
    c45,
    [final] ).

cnf(i_0_71,hypothesis,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill ),
    c46,
    [final] ).

cnf(i_0_72,hypothesis,
    ( salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | ~ mustard_mill ),
    c50,
    [final] ).

cnf(i_0_73,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_cole
    | ~ mustard_mill ),
    c47,
    [final] ).

cnf(i_0_74,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_cole
    | ~ salt_mill ),
    c48,
    [final] ).

cnf(i_0_75,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_mill ),
    c11,
    [final] ).

cnf(i_0_76,hypothesis,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ mustard_mill ),
    c9,
    [final] ).

cnf(i_0_77,hypothesis,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ mustard_mill ),
    c7,
    [final] ).

cnf(i_0_78,hypothesis,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ mustard_mill ),
    c5,
    [final] ).

cnf(i_0_79,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ salt_mill ),
    c12,
    [final] ).

cnf(i_0_80,hypothesis,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ salt_mill ),
    c10,
    [final] ).

cnf(i_0_81,hypothesis,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ salt_mill ),
    c8,
    [final] ).

cnf(i_0_82,hypothesis,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ salt_mill ),
    c6,
    [final] ).

cnf(i_0_83,hypothesis,
    ( salt_dix
    | ~ salt_cole
    | ~ mustard_cole ),
    c35,
    [final] ).

cnf(i_0_84,hypothesis,
    ( salt_cole
    | ~ salt_dix
    | ~ salt_barry ),
    c16,
    [final] ).

cnf(i_0_85,hypothesis,
    ( salt_cole
    | ~ salt_dix
    | ~ mustard_barry ),
    c14,
    [final] ).

cnf(i_0_86,hypothesis,
    ( mustard_mill
    | ~ mustard_barry
    | ~ salt_dix ),
    c23,
    [final] ).

cnf(i_0_87,hypothesis,
    ( mustard_mill
    | ~ mustard_barry
    | ~ mustard_dix ),
    c21,
    [final] ).

cnf(i_0_88,hypothesis,
    ( mustard_cole
    | ~ salt_dix
    | ~ mustard_dix ),
    c37,
    [final] ).

cnf(i_0_89,hypothesis,
    ( mustard_cole
    | ~ salt_dix
    | ~ salt_barry ),
    c15,
    [final] ).

cnf(i_0_90,hypothesis,
    ( mustard_cole
    | ~ salt_lang
    | ~ mustard_lang ),
    c36,
    [final] ).

cnf(i_0_91,hypothesis,
    ( mustard_cole
    | ~ salt_dix
    | ~ mustard_barry ),
    c13,
    [final] ).

cnf(i_0_92,hypothesis,
    ( mustard_barry
    | ~ salt_mill
    | ~ mustard_mill ),
    c40,
    [final] ).

cnf(i_0_93,hypothesis,
    ( salt_mill
    | ~ salt_lang
    | ~ mustard_lang ),
    c29,
    [final] ).

cnf(i_0_94,hypothesis,
    ( salt_mill
    | ~ mustard_barry
    | ~ salt_dix ),
    c24,
    [final] ).

cnf(i_0_95,hypothesis,
    ( salt_mill
    | ~ mustard_barry
    | ~ mustard_dix ),
    c22,
    [final] ).

cnf(i_0_96,hypothesis,
    ( salt_mill
    | ~ salt_barry
    | ~ mustard_barry ),
    c30,
    [final] ).

cnf(i_0_97,hypothesis,
    ( salt_dix
    | mustard_mill
    | ~ mustard_dix ),
    c25,
    [final] ).

cnf(i_0_98,hypothesis,
    ( mustard_dix
    | mustard_mill
    | ~ salt_dix ),
    c26,
    [final] ).

cnf(i_0_99,hypothesis,
    ( salt_cole
    | mustard_mill
    | ~ mustard_cole ),
    c27,
    [final] ).

cnf(i_0_100,hypothesis,
    ( mustard_cole
    | mustard_mill
    | ~ salt_cole ),
    c28,
    [final] ).

cnf(i_0_101,hypothesis,
    ( salt_cole
    | salt_barry
    | ~ mustard_cole ),
    c43,
    [final] ).

cnf(i_0_102,hypothesis,
    ( salt_barry
    | salt_cole
    | ~ mustard_barry ),
    c38,
    [final] ).

cnf(i_0_103,hypothesis,
    ( mustard_cole
    | salt_barry
    | ~ salt_cole ),
    c44,
    [final] ).

cnf(i_0_104,hypothesis,
    ( salt_dix
    | salt_lang
    | ~ mustard_dix ),
    c31,
    [final] ).

cnf(i_0_105,hypothesis,
    ( salt_dix
    | salt_lang
    | ~ mustard_cole ),
    c20,
    [final] ).

cnf(i_0_106,hypothesis,
    ( mustard_dix
    | salt_lang
    | ~ salt_dix ),
    c32,
    [final] ).

cnf(i_0_107,hypothesis,
    ( mustard_dix
    | salt_lang
    | ~ mustard_cole ),
    c18,
    [final] ).

cnf(i_0_108,hypothesis,
    ( salt_lang
    | salt_barry
    | ~ mustard_lang ),
    c41,
    [final] ).

cnf(i_0_109,hypothesis,
    ( salt_barry
    | salt_lang
    | ~ mustard_barry ),
    c33,
    [final] ).

cnf(i_0_110,hypothesis,
    ( salt_barry
    | salt_lang
    | ~ salt_mill ),
    c4,
    [final] ).

cnf(i_0_111,hypothesis,
    ( salt_dix
    | mustard_lang
    | ~ mustard_cole ),
    c19,
    [final] ).

cnf(i_0_112,hypothesis,
    ( mustard_dix
    | mustard_lang
    | ~ mustard_cole ),
    c17,
    [final] ).

cnf(i_0_113,hypothesis,
    ( mustard_lang
    | salt_barry
    | ~ salt_lang ),
    c42,
    [final] ).

cnf(i_0_114,hypothesis,
    ( salt_barry
    | mustard_lang
    | ~ salt_mill ),
    c3,
    [final] ).

cnf(i_0_115,hypothesis,
    ( mustard_barry
    | salt_cole
    | ~ salt_barry ),
    c39,
    [final] ).

cnf(i_0_116,hypothesis,
    ( mustard_barry
    | salt_lang
    | ~ salt_barry ),
    c34,
    [final] ).

cnf(i_0_117,hypothesis,
    ( mustard_barry
    | salt_lang
    | ~ salt_mill ),
    c2,
    [final] ).

cnf(i_0_118,hypothesis,
    ( mustard_barry
    | mustard_lang
    | ~ salt_mill ),
    c1,
    [final] ).

cnf(i_0_119,hypothesis,
    ( salt_cole
    | mustard_cole
    | mustard_lang ),
    c57,
    [final] ).

cnf(i_0_120,hypothesis,
    ( salt_lang
    | mustard_lang
    | mustard_dix ),
    c59,
    [final] ).

cnf(i_0_121,hypothesis,
    ( salt_dix
    | mustard_dix
    | mustard_barry ),
    c62,
    [final] ).

cnf(i_0_122,hypothesis,
    ( salt_barry
    | mustard_barry
    | salt_dix ),
    c60,
    [final] ).

cnf(i_0_123,hypothesis,
    ( salt_mill
    | mustard_mill
    | mustard_dix ),
    c58,
    [final] ).

cnf(i_0_124,hypothesis,
    ( salt_mill
    | mustard_mill
    | salt_cole ),
    c61,
    [final] ).

cnf(i_0_125,hypothesis,
    ( salt_mill
    | mustard_mill
    | mustard_lang ),
    c56,
    [final] ).

cnf(i_0_126,plain,
    ( ~ mustard_mill
    | salt_dix
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_78,i_0_111]) ).

cnf(i_0_127,plain,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_79,i_0_93]) ).

cnf(i_0_128,plain,
    ( ~ mustard_dix
    | salt_barry
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_80,i_0_114]) ).

cnf(i_0_129,plain,
    ( ~ salt_cole
    | mustard_barry
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_81,i_0_118]) ).

cnf(i_0_130,plain,
    ( ~ salt_mill
    | salt_dix
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_82,i_0_111]) ).

cnf(i_0_131,plain,
    ( ~ salt_dix
    | salt_cole
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_84,i_0_101]) ).

cnf(i_0_132,plain,
    ( ~ mustard_barry
    | ~ mustard_dix
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_87,i_0_75]) ).

cnf(i_0_133,plain,
    ( ~ mustard_dix
    | ~ salt_dix
    | salt_cole ),
    inference(scs_inference,[],[i_0_88,i_0_131]) ).

cnf(i_0_134,plain,
    ( ~ salt_dix
    | mustard_cole
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_89,i_0_103]) ).

cnf(i_0_135,plain,
    ( ~ salt_lang
    | ~ mustard_lang
    | ~ mustard_mill ),
    inference(scs_inference,[],[i_0_90,i_0_78]) ).

cnf(i_0_136,plain,
    ( ~ mustard_barry
    | ~ mustard_dix
    | salt_barry ),
    inference(scs_inference,[],[i_0_95,i_0_128]) ).

cnf(i_0_137,plain,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry ),
    inference(scs_inference,[],[i_0_96,i_0_71]) ).

cnf(i_0_138,plain,
    ( ~ mustard_dix
    | mustard_dix
    | mustard_mill ),
    inference(scs_inference,[],[i_0_97,i_0_98]) ).

cnf(i_0_139,plain,
    ( mustard_mill
    | salt_dix
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_99,i_0_83]) ).

cnf(i_0_140,plain,
    ( ~ salt_cole
    | mustard_mill
    | salt_dix ),
    inference(scs_inference,[],[i_0_100,i_0_139]) ).

cnf(i_0_141,plain,
    ( ~ mustard_barry
    | mustard_barry
    | salt_cole ),
    inference(scs_inference,[],[i_0_102,i_0_115]) ).

cnf(i_0_142,plain,
    ( salt_lang
    | mustard_cole
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_104,i_0_88]) ).

cnf(i_0_143,plain,
    ( salt_lang
    | ~ mustard_cole
    | salt_cole ),
    inference(scs_inference,[],[i_0_105,i_0_131]) ).

cnf(i_0_144,plain,
    ( salt_lang
    | ~ salt_dix
    | salt_cole ),
    inference(scs_inference,[],[i_0_106,i_0_133]) ).

cnf(i_0_145,plain,
    ( ~ mustard_cole
    | salt_lang
    | mustard_cole ),
    inference(scs_inference,[],[i_0_107,i_0_142]) ).

cnf(i_0_146,plain,
    ( salt_barry
    | mustard_cole
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_108,i_0_90]) ).

cnf(i_0_147,plain,
    ( ~ mustard_barry
    | mustard_barry
    | salt_lang ),
    inference(scs_inference,[],[i_0_109,i_0_116]) ).

cnf(i_0_148,plain,
    ( salt_barry
    | ~ salt_lang
    | mustard_cole ),
    inference(scs_inference,[],[i_0_113,i_0_90]) ).

cnf(i_0_149,plain,
    ( mustard_barry
    | ~ mustard_dix
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_117,i_0_79]) ).

cnf(i_0_150,plain,
    ( mustard_lang
    | mustard_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_119,i_0_100]) ).

cnf(i_0_151,plain,
    ( mustard_dix
    | mustard_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_120,i_0_113]) ).

cnf(i_0_152,plain,
    ( mustard_barry
    | mustard_dix
    | mustard_mill ),
    inference(scs_inference,[],[i_0_121,i_0_98]) ).

cnf(i_0_153,plain,
    ( salt_dix
    | mustard_barry
    | salt_cole ),
    inference(scs_inference,[],[i_0_122,i_0_115]) ).

cnf(i_0_154,plain,
    ( salt_mill
    | mustard_mill
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_123,i_0_87]) ).

cnf(i_0_155,plain,
    ( salt_mill
    | mustard_mill
    | salt_dix ),
    inference(scs_inference,[],[i_0_124,i_0_140]) ).

cnf(i_0_156,plain,
    ( mustard_mill
    | mustard_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_125,i_0_114]) ).

cnf(i_0_157,plain,
    ( ~ mustard_cole
    | salt_dix
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_126,i_0_97]) ).

cnf(i_0_158,plain,
    ( ~ mustard_dix
    | ~ salt_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_127,i_0_113]) ).

cnf(i_0_159,plain,
    ( ~ salt_mill
    | salt_dix
    | mustard_barry ),
    inference(scs_inference,[],[i_0_129,i_0_153]) ).

cnf(i_0_160,plain,
    ( ~ salt_dix
    | ~ salt_cole
    | salt_dix ),
    inference(scs_inference,[],[i_0_134,i_0_83]) ).

cnf(i_0_161,plain,
    ( ~ mustard_mill
    | salt_barry
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_135,i_0_108]) ).

cnf(i_0_162,plain,
    ( ~ mustard_dix
    | salt_barry
    | salt_dix ),
    inference(scs_inference,[],[i_0_136,i_0_122]) ).

cnf(i_0_163,plain,
    ( ~ salt_barry
    | salt_barry
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_137,i_0_102]) ).

cnf(i_0_164,plain,
    ( salt_lang
    | ~ salt_dix
    | mustard_cole ),
    inference(scs_inference,[],[i_0_144,i_0_134]) ).

cnf(i_0_165,plain,
    ( ~ mustard_lang
    | mustard_cole
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_146,i_0_89]) ).

cnf(i_0_166,plain,
    ( ~ salt_lang
    | mustard_cole
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_148,i_0_89]) ).

cnf(i_0_167,plain,
    ( ~ salt_mill
    | ~ mustard_dix
    | mustard_mill ),
    inference(scs_inference,[],[i_0_149,i_0_87]) ).

cnf(i_0_168,plain,
    ( mustard_mill
    | ~ salt_lang
    | mustard_cole ),
    inference(scs_inference,[],[i_0_150,i_0_90]) ).

cnf(i_0_169,plain,
    ( mustard_lang
    | ~ mustard_barry
    | salt_barry ),
    inference(scs_inference,[],[i_0_151,i_0_136]) ).

cnf(i_0_170,plain,
    ( mustard_barry
    | mustard_mill
    | salt_dix ),
    inference(scs_inference,[],[i_0_152,i_0_97]) ).

cnf(i_0_171,plain,
    ( salt_mill
    | salt_dix
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_155,i_0_126]) ).

cnf(i_0_172,plain,
    ( mustard_lang
    | salt_barry
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_156,i_0_161]) ).

cnf(i_0_173,plain,
    ( ~ mustard_cole
    | mustard_cole
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_157,i_0_88]) ).

cnf(i_0_174,plain,
    ( mustard_barry
    | salt_dix
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_159,i_0_171]) ).

cnf(i_0_175,plain,
    ( salt_dix
    | mustard_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_162,i_0_151]) ).

cnf(i_0_176,plain,
    ( ~ salt_dix
    | salt_barry
    | mustard_cole ),
    inference(scs_inference,[],[i_0_164,i_0_148]) ).

cnf(i_0_177,plain,
    ( ~ salt_dix
    | salt_cole
    | mustard_cole ),
    inference(scs_inference,[],[i_0_165,i_0_119]) ).

cnf(i_0_178,plain,
    ( mustard_cole
    | mustard_dix
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_166,i_0_106]) ).

cnf(i_0_179,plain,
    ( ~ mustard_dix
    | mustard_mill
    | salt_cole ),
    inference(scs_inference,[],[i_0_167,i_0_124]) ).

cnf(i_0_180,plain,
    ( ~ salt_lang
    | salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_168,i_0_99]) ).

cnf(i_0_181,plain,
    ( ~ mustard_barry
    | salt_barry
    | mustard_cole ),
    inference(scs_inference,[],[i_0_169,i_0_146]) ).

cnf(i_0_182,plain,
    ( salt_dix
    | mustard_mill
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_170,i_0_86]) ).

cnf(i_0_183,plain,
    ( mustard_barry
    | ~ mustard_cole
    | salt_cole ),
    inference(scs_inference,[],[i_0_174,i_0_131]) ).

cnf(i_0_184,plain,
    ( mustard_lang
    | salt_barry
    | mustard_cole ),
    inference(scs_inference,[],[i_0_175,i_0_176]) ).

cnf(i_0_185,plain,
    ( mustard_cole
    | salt_cole
    | mustard_barry ),
    inference(scs_inference,[],[i_0_177,i_0_153]) ).

cnf(i_0_186,plain,
    ( ~ salt_dix
    | mustard_dix
    | mustard_lang ),
    inference(scs_inference,[],[i_0_178,i_0_112]) ).

cnf(i_0_187,plain,
    ( salt_cole
    | mustard_barry
    | mustard_mill ),
    inference(scs_inference,[],[i_0_179,i_0_152]) ).

cnf(i_0_188,plain,
    ( mustard_mill
    | ~ salt_dix
    | salt_cole ),
    inference(scs_inference,[],[i_0_180,i_0_144]) ).

cnf(i_0_189,plain,
    ( mustard_cole
    | salt_barry
    | salt_dix ),
    inference(scs_inference,[],[i_0_181,i_0_122]) ).

cnf(i_0_190,plain,
    ( salt_cole
    | mustard_barry ),
    inference(scs_inference,[],[i_0_183,i_0_185]) ).

cnf(i_0_191,plain,
    ( mustard_barry
    | ~ mustard_lang
    | ~ mustard_mill ),
    inference(scs_inference,[],[i_0_190,i_0_77]) ).

cnf(i_0_192,plain,
    ( mustard_cole
    | salt_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_184,i_0_108]) ).

cnf(i_0_193,plain,
    ( mustard_lang
    | ~ salt_dix
    | mustard_cole ),
    inference(scs_inference,[],[i_0_186,i_0_88]) ).

cnf(i_0_194,plain,
    ( ~ salt_dix
    | mustard_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_188,i_0_100]) ).

cnf(i_0_195,plain,
    ( salt_barry
    | ~ salt_cole
    | salt_dix ),
    inference(scs_inference,[],[i_0_189,i_0_83]) ).

cnf(i_0_196,plain,
    ( salt_lang
    | salt_barry
    | salt_cole ),
    inference(scs_inference,[],[i_0_192,i_0_101]) ).

cnf(i_0_197,plain,
    ( mustard_cole
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_193,i_0_165]) ).

cnf(i_0_198,plain,
    ( ~ salt_dix
    | ~ mustard_lang
    | ~ mustard_mill ),
    inference(scs_inference,[],[i_0_197,i_0_78]) ).

cnf(i_0_199,plain,
    ( salt_dix
    | ~ salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_195,i_0_137]) ).

cnf(i_0_200,plain,
    ( salt_cole
    | mustard_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_196,i_0_113]) ).

cnf(i_0_201,plain,
    ( ~ mustard_mill
    | ~ salt_dix
    | mustard_dix ),
    inference(scs_inference,[],[i_0_198,i_0_186]) ).

cnf(i_0_202,plain,
    ( ~ salt_cole
    | salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_199,i_0_85]) ).

cnf(i_0_203,plain,
    ( salt_cole
    | salt_barry
    | mustard_cole ),
    inference(scs_inference,[],[i_0_200,i_0_146]) ).

cnf(i_0_204,plain,
    ( ~ salt_dix
    | mustard_dix ),
    inference(scs_inference,[],[i_0_201,i_0_98]) ).

cnf(i_0_205,plain,
    ( mustard_dix
    | ~ mustard_dix
    | salt_barry ),
    inference(scs_inference,[],[i_0_204,i_0_162]) ).

cnf(i_0_206,plain,
    ( salt_barry
    | mustard_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_203,i_0_100]) ).

cnf(i_0_207,plain,
    ( salt_barry
    | salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_206,i_0_99]) ).

cnf(i_0_208,plain,
    ( salt_barry
    | mustard_mill
    | salt_dix ),
    inference(scs_inference,[],[i_0_207,i_0_140]) ).

cnf(i_0_209,plain,
    ( salt_barry
    | salt_dix
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_208,i_0_126]) ).

cnf(i_0_210,plain,
    ( salt_barry
    | ~ mustard_cole
    | mustard_cole ),
    inference(scs_inference,[],[i_0_209,i_0_197]) ).

cnf(i_0_211,plain,
    ( ~ salt_dix
    | salt_cole ),
    inference(scs_inference,[],[i_0_190,i_0_85]) ).

cnf(i_0_212,plain,
    ( salt_cole
    | ~ mustard_dix
    | salt_barry ),
    inference(scs_inference,[],[i_0_211,i_0_162]) ).

cnf(i_0_213,plain,
    ( ~ mustard_dix
    | salt_barry
    | mustard_cole ),
    inference(scs_inference,[],[i_0_212,i_0_103]) ).

cnf(i_0_214,plain,
    ( salt_cole
    | salt_mill
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_190,i_0_95]) ).

cnf(i_0_215,plain,
    ( mustard_barry
    | ~ mustard_lang
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_190,i_0_81]) ).

cnf(i_0_216,plain,
    ( mustard_barry
    | ~ salt_mill
    | salt_barry ),
    inference(scs_inference,[],[i_0_215,i_0_114]) ).

cnf(i_0_217,plain,
    ( ~ salt_mill
    | salt_cole
    | salt_barry ),
    inference(scs_inference,[],[i_0_216,i_0_102]) ).

cnf(i_0_218,plain,
    ( ~ salt_mill
    | salt_barry
    | mustard_cole ),
    inference(scs_inference,[],[i_0_217,i_0_103]) ).

cnf(i_0_219,plain,
    ( salt_barry
    | ~ mustard_lang
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_218,i_0_82]) ).

cnf(i_0_220,plain,
    ( ~ salt_mill
    | ~ salt_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_219,i_0_113]) ).

cnf(i_0_221,plain,
    ( salt_barry
    | ~ salt_lang
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_220,i_0_93]) ).

cnf(i_0_222,plain,
    ( ~ mustard_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_221,i_0_108]) ).

cnf(i_0_223,plain,
    ( salt_barry
    | ~ mustard_cole
    | mustard_dix ),
    inference(scs_inference,[],[i_0_222,i_0_112]) ).

cnf(i_0_224,plain,
    ( ~ mustard_cole
    | ~ salt_mill
    | salt_barry ),
    inference(scs_inference,[],[i_0_223,i_0_128]) ).

cnf(i_0_225,plain,
    ( ~ salt_mill
    | ~ mustard_barry
    | salt_barry ),
    inference(scs_inference,[],[i_0_224,i_0_181]) ).

cnf(i_0_226,plain,
    ( salt_barry
    | mustard_mill
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_225,i_0_154]) ).

cnf(i_0_227,plain,
    ( mustard_mill
    | ~ salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_226,i_0_137]) ).

cnf(i_0_228,plain,
    ( ~ mustard_barry
    | ~ salt_cole
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_227,i_0_77]) ).

cnf(i_0_229,plain,
    ( ~ mustard_barry
    | ~ mustard_lang
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_228,i_0_211]) ).

cnf(i_0_230,plain,
    ( ~ salt_dix
    | ~ mustard_lang
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_229,i_0_215]) ).

cnf(i_0_231,plain,
    ( ~ salt_dix
    | mustard_barry
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_230,i_0_118]) ).

cnf(i_0_232,plain,
    ( ~ salt_mill
    | mustard_dix
    | mustard_barry ),
    inference(scs_inference,[],[i_0_231,i_0_121]) ).

cnf(i_0_233,plain,
    ( mustard_barry
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_232,i_0_149]) ).

cnf(i_0_234,plain,
    ( ~ salt_mill
    | mustard_mill
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_233,i_0_86]) ).

cnf(i_0_235,plain,
    ( mustard_barry
    | mustard_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_190,i_0_100]) ).

cnf(i_0_236,plain,
    ( mustard_cole
    | salt_mill
    | mustard_mill ),
    inference(scs_inference,[],[i_0_235,i_0_154]) ).

cnf(i_0_237,plain,
    ( salt_cole
    | salt_mill
    | ~ salt_barry ),
    inference(scs_inference,[],[i_0_190,i_0_96]) ).

cnf(i_0_238,plain,
    ( salt_cole
    | salt_mill
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_237,i_0_222]) ).

cnf(i_0_239,plain,
    ( salt_mill
    | ~ mustard_barry
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_238,i_0_228]) ).

cnf(i_0_240,plain,
    ( ~ mustard_barry
    | ~ mustard_dix
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_239,i_0_80]) ).

cnf(i_0_241,plain,
    ( salt_cole
    | salt_barry ),
    inference(scs_inference,[],[i_0_190,i_0_102]) ).

cnf(i_0_242,plain,
    ( salt_barry
    | mustard_cole ),
    inference(scs_inference,[],[i_0_241,i_0_103]) ).

cnf(i_0_243,plain,
    ( mustard_cole
    | ~ mustard_barry
    | salt_mill ),
    inference(scs_inference,[],[i_0_242,i_0_96]) ).

cnf(i_0_244,plain,
    ( ~ mustard_barry
    | salt_mill
    | salt_dix ),
    inference(scs_inference,[],[i_0_243,i_0_171]) ).

cnf(i_0_245,plain,
    ( salt_mill
    | salt_dix
    | mustard_dix ),
    inference(scs_inference,[],[i_0_244,i_0_121]) ).

cnf(i_0_246,plain,
    ( mustard_dix
    | salt_dix
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_245,i_0_130]) ).

cnf(i_0_247,plain,
    ( ~ mustard_cole
    | salt_dix ),
    inference(scs_inference,[],[i_0_246,i_0_157]) ).

cnf(i_0_248,plain,
    ( salt_dix
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_247,i_0_197]) ).

cnf(i_0_249,plain,
    ( mustard_barry
    | ~ salt_barry
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_190,i_0_137]) ).

cnf(i_0_250,plain,
    ( mustard_barry
    | salt_dix
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_190,i_0_199]) ).

cnf(i_0_251,plain,
    ( salt_cole
    | ~ mustard_dix
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_190,i_0_132]) ).

cnf(i_0_252,plain,
    ( salt_cole
    | ~ salt_barry
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_190,i_0_137]) ).

cnf(i_0_253,plain,
    ( mustard_barry
    | mustard_mill
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_190,i_0_227]) ).

cnf(i_0_254,plain,
    ( mustard_barry
    | ~ mustard_barry
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_190,i_0_228]) ).

cnf(i_0_255,plain,
    ( salt_cole
    | ~ salt_cole
    | salt_dix ),
    inference(scs_inference,[],[i_0_190,i_0_199]) ).

cnf(i_0_256,plain,
    ( salt_cole
    | ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_190,i_0_227]) ).

cnf(i_0_257,plain,
    ( salt_barry
    | mustard_barry
    | ~ mustard_mill ),
    inference(scs_inference,[],[i_0_190,i_0_73]) ).

cnf(i_0_258,plain,
    ( ~ mustard_mill
    | mustard_barry
    | salt_lang ),
    inference(scs_inference,[],[i_0_257,i_0_116]) ).

cnf(i_0_259,plain,
    ( salt_lang
    | mustard_dix
    | mustard_barry ),
    inference(scs_inference,[],[i_0_258,i_0_152]) ).

cnf(i_0_260,plain,
    ( mustard_barry
    | salt_dix
    | salt_lang ),
    inference(scs_inference,[],[i_0_259,i_0_104]) ).

cnf(i_0_261,plain,
    ( salt_dix
    | salt_barry
    | salt_lang ),
    inference(scs_inference,[],[i_0_260,i_0_109]) ).

cnf(i_0_262,plain,
    ( salt_barry
    | salt_lang
    | mustard_dix ),
    inference(scs_inference,[],[i_0_261,i_0_204]) ).

cnf(i_0_263,plain,
    ( mustard_dix
    | ~ salt_mill
    | salt_barry ),
    inference(scs_inference,[],[i_0_262,i_0_220]) ).

cnf(i_0_264,plain,
    ( ~ salt_mill
    | salt_barry ),
    inference(scs_inference,[],[i_0_263,i_0_128]) ).

cnf(i_0_265,plain,
    ( salt_barry
    | ~ mustard_barry
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_264,i_0_94]) ).

cnf(i_0_266,plain,
    ( ~ salt_dix
    | ~ salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_265,i_0_137]) ).

cnf(i_0_267,plain,
    ( ~ mustard_barry
    | salt_barry
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_266,i_0_195]) ).

cnf(i_0_268,plain,
    ( ~ salt_cole
    | salt_barry
    | ~ mustard_mill ),
    inference(scs_inference,[],[i_0_267,i_0_257]) ).

cnf(i_0_269,plain,
    ( salt_barry
    | ~ mustard_mill
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_268,i_0_211]) ).

cnf(i_0_270,plain,
    ( mustard_barry
    | ~ salt_dix
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_190,i_0_266]) ).

cnf(i_0_271,plain,
    ( mustard_barry
    | ~ mustard_barry
    | salt_barry ),
    inference(scs_inference,[],[i_0_190,i_0_267]) ).

cnf(i_0_272,plain,
    ( mustard_cole
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_197,i_0_247]) ).

cnf(i_0_273,plain,
    ( mustard_cole
    | mustard_mill
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_197,i_0_97]) ).

cnf(i_0_274,plain,
    ( mustard_cole
    | mustard_barry
    | mustard_dix ),
    inference(scs_inference,[],[i_0_197,i_0_121]) ).

cnf(i_0_275,plain,
    ( mustard_barry
    | salt_barry
    | mustard_dix ),
    inference(scs_inference,[],[i_0_274,i_0_223]) ).

cnf(i_0_276,plain,
    ( mustard_dix
    | salt_barry
    | mustard_mill ),
    inference(scs_inference,[],[i_0_275,i_0_226]) ).

cnf(i_0_277,plain,
    ( mustard_mill
    | ~ salt_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_276,i_0_158]) ).

cnf(i_0_278,plain,
    ( ~ salt_lang
    | mustard_barry
    | salt_barry ),
    inference(scs_inference,[],[i_0_277,i_0_257]) ).

cnf(i_0_279,plain,
    ( mustard_cole
    | ~ salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_197,i_0_199]) ).

cnf(i_0_280,plain,
    ( mustard_cole
    | ~ mustard_barry
    | mustard_barry ),
    inference(scs_inference,[],[i_0_279,i_0_190]) ).

cnf(i_0_281,plain,
    ( mustard_cole
    | salt_mill
    | mustard_dix ),
    inference(scs_inference,[],[i_0_197,i_0_245]) ).

cnf(i_0_282,plain,
    ( salt_mill
    | mustard_dix
    | salt_lang ),
    inference(scs_inference,[],[i_0_281,i_0_107]) ).

cnf(i_0_283,plain,
    ( salt_lang
    | ~ mustard_barry
    | salt_mill ),
    inference(scs_inference,[],[i_0_282,i_0_95]) ).

cnf(i_0_284,plain,
    ( salt_lang
    | salt_mill
    | salt_cole ),
    inference(scs_inference,[],[i_0_283,i_0_190]) ).

cnf(i_0_285,plain,
    ( mustard_cole
    | mustard_barry
    | salt_lang ),
    inference(scs_inference,[],[i_0_197,i_0_260]) ).

cnf(i_0_286,plain,
    ( mustard_barry
    | ~ mustard_lang
    | mustard_cole ),
    inference(scs_inference,[],[i_0_285,i_0_90]) ).

cnf(i_0_287,plain,
    ( mustard_cole
    | ~ salt_cole
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_286,i_0_228]) ).

cnf(i_0_288,plain,
    ( ~ mustard_lang
    | ~ salt_cole
    | salt_dix ),
    inference(scs_inference,[],[i_0_287,i_0_247]) ).

cnf(i_0_289,plain,
    ( ~ mustard_lang
    | salt_dix
    | mustard_barry ),
    inference(scs_inference,[],[i_0_288,i_0_190]) ).

cnf(i_0_290,plain,
    ( ~ salt_dix
    | ~ mustard_mill
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_204,i_0_75]) ).

cnf(i_0_291,plain,
    ( ~ salt_lang
    | ~ mustard_mill
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_290,i_0_247]) ).

cnf(i_0_292,plain,
    ( ~ mustard_mill
    | ~ mustard_cole
    | mustard_dix ),
    inference(scs_inference,[],[i_0_291,i_0_107]) ).

cnf(i_0_293,plain,
    ( mustard_dix
    | ~ mustard_cole
    | salt_cole ),
    inference(scs_inference,[],[i_0_292,i_0_99]) ).

cnf(i_0_294,plain,
    ( ~ mustard_cole
    | salt_cole
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_293,i_0_251]) ).

cnf(i_0_295,plain,
    ( ~ salt_lang
    | mustard_lang
    | salt_cole ),
    inference(scs_inference,[],[i_0_294,i_0_119]) ).

cnf(i_0_296,plain,
    ( salt_cole
    | mustard_lang
    | mustard_dix ),
    inference(scs_inference,[],[i_0_295,i_0_120]) ).

cnf(i_0_297,plain,
    ( mustard_dix
    | salt_cole
    | salt_mill ),
    inference(scs_inference,[],[i_0_296,i_0_238]) ).

cnf(i_0_298,plain,
    ( salt_cole
    | ~ mustard_barry
    | salt_mill ),
    inference(scs_inference,[],[i_0_297,i_0_95]) ).

cnf(i_0_299,plain,
    ( salt_mill
    | salt_cole ),
    inference(scs_inference,[],[i_0_298,i_0_190]) ).

cnf(i_0_300,plain,
    ( salt_cole
    | ~ mustard_dix
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_299,i_0_80]) ).

cnf(i_0_301,plain,
    ( ~ mustard_dix
    | mustard_cole
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_300,i_0_287]) ).

cnf(i_0_302,plain,
    ( ~ mustard_lang
    | mustard_cole
    | salt_mill ),
    inference(scs_inference,[],[i_0_301,i_0_281]) ).

cnf(i_0_303,plain,
    ( ~ salt_dix
    | ~ salt_lang
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_204,i_0_79]) ).

cnf(i_0_304,plain,
    ( ~ salt_lang
    | ~ salt_mill
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_303,i_0_247]) ).

cnf(i_0_305,plain,
    ( ~ salt_mill
    | ~ mustard_cole
    | mustard_dix ),
    inference(scs_inference,[],[i_0_304,i_0_107]) ).

cnf(i_0_306,plain,
    ( ~ mustard_cole
    | mustard_mill
    | mustard_dix ),
    inference(scs_inference,[],[i_0_305,i_0_123]) ).

cnf(i_0_307,plain,
    ( mustard_dix
    | ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_306,i_0_100]) ).

cnf(i_0_308,plain,
    ( ~ salt_cole
    | ~ salt_mill
    | mustard_mill ),
    inference(scs_inference,[],[i_0_307,i_0_167]) ).

cnf(i_0_309,plain,
    ( ~ salt_mill
    | ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_308,i_0_180]) ).

cnf(i_0_310,plain,
    ( ~ salt_lang
    | mustard_mill
    | mustard_lang ),
    inference(scs_inference,[],[i_0_309,i_0_125]) ).

cnf(i_0_311,plain,
    ( mustard_mill
    | mustard_lang
    | mustard_dix ),
    inference(scs_inference,[],[i_0_310,i_0_120]) ).

cnf(i_0_312,plain,
    ( mustard_lang
    | ~ mustard_barry
    | mustard_mill ),
    inference(scs_inference,[],[i_0_311,i_0_87]) ).

cnf(i_0_313,plain,
    ( mustard_dix
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_204,i_0_247]) ).

cnf(i_0_314,plain,
    ( ~ mustard_cole
    | ~ mustard_barry
    | mustard_mill ),
    inference(scs_inference,[],[i_0_313,i_0_87]) ).

cnf(i_0_315,plain,
    ( mustard_dix
    | ~ mustard_dix
    | salt_lang ),
    inference(scs_inference,[],[i_0_204,i_0_104]) ).

cnf(i_0_316,plain,
    ( ~ salt_dix
    | ~ salt_lang
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_204,i_0_127]) ).

cnf(i_0_317,plain,
    ( ~ salt_lang
    | ~ mustard_lang
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_316,i_0_288]) ).

cnf(i_0_318,plain,
    ( ~ salt_cole
    | ~ salt_lang
    | salt_cole ),
    inference(scs_inference,[],[i_0_317,i_0_295]) ).

cnf(i_0_319,plain,
    ( ~ salt_dix
    | ~ mustard_barry
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_204,i_0_132]) ).

cnf(i_0_320,plain,
    ( ~ salt_lang
    | ~ salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_319,i_0_199]) ).

cnf(i_0_321,plain,
    ( ~ salt_cole
    | ~ mustard_barry
    | salt_mill ),
    inference(scs_inference,[],[i_0_320,i_0_283]) ).

cnf(i_0_322,plain,
    ( salt_mill
    | ~ mustard_barry
    | mustard_barry ),
    inference(scs_inference,[],[i_0_321,i_0_190]) ).

cnf(i_0_323,plain,
    ( ~ mustard_barry
    | mustard_barry ),
    inference(scs_inference,[],[i_0_322,i_0_233]) ).

cnf(i_0_324,plain,
    ( mustard_barry
    | mustard_dix ),
    inference(scs_inference,[],[i_0_204,i_0_121]) ).

cnf(i_0_325,plain,
    ( mustard_dix
    | ~ mustard_dix
    | salt_mill ),
    inference(scs_inference,[],[i_0_324,i_0_95]) ).

cnf(i_0_326,plain,
    ( mustard_dix
    | salt_barry
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_204,i_0_195]) ).

cnf(i_0_327,plain,
    ( ~ salt_cole
    | ~ salt_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_326,i_0_158]) ).

cnf(i_0_328,plain,
    ( salt_barry
    | ~ mustard_cole
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_327,i_0_294]) ).

cnf(i_0_329,plain,
    ( ~ salt_lang
    | salt_barry ),
    inference(scs_inference,[],[i_0_328,i_0_242]) ).

cnf(i_0_330,plain,
    ( ~ mustard_barry
    | salt_barry ),
    inference(scs_inference,[],[i_0_329,i_0_109]) ).

cnf(i_0_331,plain,
    ( salt_barry
    | mustard_dix ),
    inference(scs_inference,[],[i_0_330,i_0_324]) ).

cnf(i_0_332,plain,
    ( mustard_dix
    | ~ mustard_barry
    | salt_mill ),
    inference(scs_inference,[],[i_0_331,i_0_96]) ).

cnf(i_0_333,plain,
    ( salt_mill
    | ~ mustard_barry
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_332,i_0_132]) ).

cnf(i_0_334,plain,
    ( ~ mustard_barry
    | ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_333,i_0_309]) ).

cnf(i_0_335,plain,
    ( ~ salt_lang
    | mustard_mill
    | salt_dix ),
    inference(scs_inference,[],[i_0_334,i_0_170]) ).

cnf(i_0_336,plain,
    ( salt_dix
    | ~ salt_lang
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_335,i_0_135]) ).

cnf(i_0_337,plain,
    ( ~ mustard_lang
    | ~ salt_lang
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_336,i_0_303]) ).

cnf(i_0_338,plain,
    ( ~ salt_mill
    | ~ salt_lang
    | salt_cole ),
    inference(scs_inference,[],[i_0_337,i_0_295]) ).

cnf(i_0_339,plain,
    ( salt_cole
    | ~ mustard_barry
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_338,i_0_333]) ).

cnf(i_0_340,plain,
    ( ~ salt_lang
    | ~ salt_barry
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_339,i_0_137]) ).

cnf(i_0_341,plain,
    ( ~ salt_lang
    | ~ mustard_barry
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_340,i_0_222]) ).

cnf(i_0_342,plain,
    ( mustard_dix
    | ~ salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_204,i_0_199]) ).

cnf(i_0_343,plain,
    ( ~ mustard_barry
    | mustard_lang
    | mustard_dix ),
    inference(scs_inference,[],[i_0_342,i_0_296]) ).

cnf(i_0_344,plain,
    ( mustard_lang
    | mustard_dix
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_343,i_0_233]) ).

cnf(i_0_345,plain,
    ( mustard_dix
    | ~ salt_mill
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_344,i_0_80]) ).

cnf(i_0_346,plain,
    ( mustard_dix
    | ~ mustard_lang
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_204,i_0_288]) ).

cnf(i_0_347,plain,
    ( ~ salt_cole
    | salt_cole
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_346,i_0_300]) ).

cnf(i_0_348,plain,
    ( mustard_dix
    | ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_204,i_0_335]) ).

cnf(i_0_349,plain,
    ( mustard_mill
    | ~ salt_lang
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_348,i_0_127]) ).

cnf(i_0_350,plain,
    ( ~ mustard_lang
    | ~ salt_lang
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_349,i_0_291]) ).

cnf(i_0_351,plain,
    ( ~ mustard_cole
    | ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_350,i_0_310]) ).

cnf(i_0_352,plain,
    ( ~ salt_lang
    | mustard_mill
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_351,i_0_273]) ).

cnf(i_0_353,plain,
    ( ~ mustard_dix
    | ~ salt_dix
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_352,i_0_290]) ).

cnf(i_0_354,plain,
    ( ~ salt_dix
    | ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_353,i_0_348]) ).

cnf(i_0_355,plain,
    ( ~ salt_lang
    | ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_354,i_0_140]) ).

cnf(i_0_356,plain,
    ( ~ salt_cole
    | ~ salt_dix
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_355,i_0_290]) ).

cnf(i_0_357,plain,
    ( ~ salt_dix
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_204,i_0_353]) ).

cnf(i_0_358,plain,
    ( ~ salt_lang
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_357,i_0_247]) ).

cnf(i_0_359,plain,
    ( ~ mustard_cole
    | ~ salt_barry
    | mustard_barry ),
    inference(scs_inference,[],[i_0_358,i_0_116]) ).

cnf(i_0_360,plain,
    ( ~ salt_barry
    | mustard_barry
    | mustard_mill ),
    inference(scs_inference,[],[i_0_359,i_0_235]) ).

cnf(i_0_361,plain,
    ( mustard_mill
    | mustard_barry
    | ~ mustard_mill ),
    inference(scs_inference,[],[i_0_360,i_0_257]) ).

cnf(i_0_362,plain,
    ( mustard_dix
    | ~ salt_lang
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_204,i_0_336]) ).

cnf(i_0_363,plain,
    ( ~ salt_lang
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_362,i_0_127]) ).

cnf(i_0_364,plain,
    ( ~ mustard_lang
    | ~ mustard_dix
    | salt_dix ),
    inference(scs_inference,[],[i_0_363,i_0_104]) ).

cnf(i_0_365,plain,
    ( mustard_dix
    | ~ mustard_lang
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_204,i_0_364]) ).

cnf(i_0_366,plain,
    ( salt_cole
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_211,i_0_247]) ).

cnf(i_0_367,plain,
    ( ~ mustard_cole
    | ~ mustard_barry
    | salt_mill ),
    inference(scs_inference,[],[i_0_366,i_0_321]) ).

cnf(i_0_368,plain,
    ( salt_mill
    | ~ mustard_cole
    | ~ salt_barry ),
    inference(scs_inference,[],[i_0_367,i_0_359]) ).

cnf(i_0_369,plain,
    ( ~ salt_barry
    | ~ mustard_cole
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_368,i_0_82]) ).

cnf(i_0_370,plain,
    ( ~ mustard_cole
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_369,i_0_222]) ).

cnf(i_0_371,plain,
    ( ~ mustard_lang
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_370,i_0_197]) ).

cnf(i_0_372,plain,
    ( ~ salt_dix
    | salt_mill
    | mustard_mill ),
    inference(scs_inference,[],[i_0_371,i_0_125]) ).

cnf(i_0_373,plain,
    ( salt_mill
    | ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_372,i_0_140]) ).

cnf(i_0_374,plain,
    ( mustard_mill
    | ~ salt_cole
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_373,i_0_81]) ).

cnf(i_0_375,plain,
    ( ~ salt_cole
    | ~ mustard_dix
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_374,i_0_76]) ).

cnf(i_0_376,plain,
    ( ~ mustard_lang
    | ~ mustard_dix
    | mustard_mill ),
    inference(scs_inference,[],[i_0_375,i_0_179]) ).

cnf(i_0_377,plain,
    ( ~ mustard_dix
    | salt_mill
    | mustard_mill ),
    inference(scs_inference,[],[i_0_376,i_0_125]) ).

cnf(i_0_378,plain,
    ( salt_mill
    | mustard_mill ),
    inference(scs_inference,[],[i_0_377,i_0_123]) ).

cnf(i_0_379,plain,
    ( mustard_mill
    | mustard_barry ),
    inference(scs_inference,[],[i_0_378,i_0_233]) ).

cnf(i_0_380,plain,
    ( mustard_barry
    | ~ mustard_dix
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_379,i_0_75]) ).

cnf(i_0_381,plain,
    ( ~ salt_lang
    | ~ mustard_dix
    | salt_mill ),
    inference(scs_inference,[],[i_0_380,i_0_95]) ).

cnf(i_0_382,plain,
    ( salt_mill
    | ~ mustard_dix
    | mustard_cole ),
    inference(scs_inference,[],[i_0_381,i_0_142]) ).

cnf(i_0_383,plain,
    ( ~ mustard_dix
    | mustard_cole
    | mustard_barry ),
    inference(scs_inference,[],[i_0_382,i_0_233]) ).

cnf(i_0_384,plain,
    ( mustard_barry
    | mustard_cole
    | salt_mill ),
    inference(scs_inference,[],[i_0_383,i_0_281]) ).

cnf(i_0_385,plain,
    ( mustard_cole
    | salt_mill ),
    inference(scs_inference,[],[i_0_384,i_0_243]) ).

cnf(i_0_386,plain,
    ( salt_mill
    | mustard_dix ),
    inference(scs_inference,[],[i_0_385,i_0_313]) ).

cnf(i_0_387,plain,
    ( mustard_dix
    | ~ salt_lang
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_386,i_0_79]) ).

cnf(i_0_388,plain,
    ( salt_cole
    | ~ mustard_dix
    | salt_lang ),
    inference(scs_inference,[],[i_0_211,i_0_104]) ).

cnf(i_0_389,plain,
    ( salt_lang
    | ~ mustard_dix
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_388,i_0_375]) ).

cnf(i_0_390,plain,
    ( ~ mustard_lang
    | mustard_barry
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_389,i_0_380]) ).

cnf(i_0_391,plain,
    ( ~ mustard_dix
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_390,i_0_240]) ).

cnf(i_0_392,plain,
    ( ~ mustard_lang
    | mustard_barry ),
    inference(scs_inference,[],[i_0_391,i_0_324]) ).

cnf(i_0_393,plain,
    ( ~ mustard_lang
    | ~ salt_barry
    | salt_mill ),
    inference(scs_inference,[],[i_0_392,i_0_96]) ).

cnf(i_0_394,plain,
    ( salt_mill
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_393,i_0_222]) ).

cnf(i_0_395,plain,
    ( ~ salt_cole
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_394,i_0_81]) ).

cnf(i_0_396,plain,
    ( ~ salt_cole
    | mustard_cole
    | salt_cole ),
    inference(scs_inference,[],[i_0_395,i_0_119]) ).

cnf(i_0_397,plain,
    ( mustard_mill
    | salt_barry ),
    inference(scs_inference,[],[i_0_222,i_0_156]) ).

cnf(i_0_398,plain,
    ( mustard_barry
    | salt_barry ),
    inference(scs_inference,[],[i_0_397,i_0_257]) ).

cnf(i_0_399,plain,
    salt_barry,
    inference(scs_inference,[],[i_0_398,i_0_330]) ).

cnf(i_0_400,plain,
    ( salt_lang
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | mustard_mill
    | ~ mustard_barry
    | ~ salt_mill
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_399,i_0_63]) ).

cnf(i_0_401,plain,
    ( salt_lang
    | mustard_lang
    | ~ mustard_cole
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_399,i_0_68]) ).

cnf(i_0_402,plain,
    ( ~ mustard_barry
    | salt_mill ),
    inference(scs_inference,[],[i_0_399,i_0_96]) ).

cnf(i_0_403,plain,
    ( salt_lang
    | mustard_barry ),
    inference(scs_inference,[],[i_0_399,i_0_116]) ).

cnf(i_0_404,plain,
    ( ~ salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_399,i_0_137]) ).

cnf(i_0_405,plain,
    ( salt_cole
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_399,i_0_252]) ).

cnf(i_0_406,plain,
    ( ~ salt_lang
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_399,i_0_340]) ).

cnf(i_0_407,plain,
    ( mustard_barry
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_399,i_0_359]) ).

cnf(i_0_408,plain,
    ( salt_mill
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_399,i_0_368]) ).

cnf(i_0_409,plain,
    ( salt_mill
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_402,i_0_233]) ).

cnf(i_0_410,plain,
    ( mustard_barry
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_403,i_0_357]) ).

cnf(i_0_411,plain,
    ( ~ mustard_barry
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_404,i_0_211]) ).

cnf(i_0_412,plain,
    ( ~ mustard_barry
    | salt_dix
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_406,i_0_104]) ).

cnf(i_0_413,plain,
    ( ~ mustard_cole
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_407,i_0_404]) ).

cnf(i_0_414,plain,
    ( ~ mustard_cole
    | ~ mustard_dix
    | mustard_mill ),
    inference(scs_inference,[],[i_0_408,i_0_167]) ).

cnf(i_0_415,plain,
    ( ~ salt_dix
    | salt_mill ),
    inference(scs_inference,[],[i_0_410,i_0_402]) ).

cnf(i_0_416,plain,
    ( ~ salt_dix
    | ~ salt_mill ),
    inference(scs_inference,[],[i_0_411,i_0_233]) ).

cnf(i_0_417,plain,
    ( ~ salt_cole
    | ~ salt_dix ),
    inference(scs_inference,[],[i_0_413,i_0_197]) ).

cnf(i_0_418,plain,
    ( salt_mill
    | salt_lang
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_415,i_0_104]) ).

cnf(i_0_419,plain,
    ( ~ salt_mill
    | ~ mustard_cole ),
    inference(scs_inference,[],[i_0_416,i_0_247]) ).

cnf(i_0_420,plain,
    ~ salt_dix,
    inference(scs_inference,[],[i_0_417,i_0_211]) ).

cnf(i_0_421,plain,
    ( salt_cole
    | mustard_cole
    | mustard_dix
    | ~ mustard_mill ),
    inference(scs_inference,[],[i_0_420,i_0_72]) ).

cnf(i_0_422,plain,
    ( mustard_mill
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_420,i_0_97]) ).

cnf(i_0_423,plain,
    ( salt_lang
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_420,i_0_104]) ).

cnf(i_0_424,plain,
    ( ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_420,i_0_140]) ).

cnf(i_0_425,plain,
    ( ~ salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_420,i_0_199]) ).

cnf(i_0_426,plain,
    ( ~ mustard_barry
    | salt_mill ),
    inference(scs_inference,[],[i_0_420,i_0_244]) ).

cnf(i_0_427,plain,
    ~ mustard_cole,
    inference(scs_inference,[],[i_0_420,i_0_247]) ).

cnf(i_0_428,plain,
    ( salt_cole
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_420,i_0_255]) ).

cnf(i_0_429,plain,
    ( mustard_barry
    | salt_lang ),
    inference(scs_inference,[],[i_0_420,i_0_260]) ).

cnf(i_0_430,plain,
    ( ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_420,i_0_335]) ).

cnf(i_0_431,plain,
    ( salt_lang
    | salt_cole
    | mustard_cole
    | mustard_dix
    | mustard_mill
    | ~ mustard_barry
    | ~ salt_mill
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_420,i_0_400]) ).

cnf(i_0_432,plain,
    ( ~ mustard_barry
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_420,i_0_412]) ).

cnf(i_0_433,plain,
    ( ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_427,i_0_100]) ).

cnf(i_0_434,plain,
    ( mustard_lang
    | salt_cole ),
    inference(scs_inference,[],[i_0_427,i_0_119]) ).

cnf(i_0_435,plain,
    ( ~ mustard_dix
    | salt_lang ),
    inference(scs_inference,[],[i_0_427,i_0_142]) ).

cnf(i_0_436,plain,
    ( mustard_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_427,i_0_150]) ).

cnf(i_0_437,plain,
    ( mustard_mill
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_427,i_0_168]) ).

cnf(i_0_438,plain,
    ~ mustard_cole,
    inference(scs_inference,[],[i_0_427,i_0_272]) ).

cnf(i_0_439,plain,
    ( mustard_mill
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_427,i_0_273]) ).

cnf(i_0_440,plain,
    ( ~ salt_cole
    | ~ mustard_barry ),
    inference(scs_inference,[],[i_0_427,i_0_279]) ).

cnf(i_0_441,plain,
    ( mustard_barry
    | salt_lang ),
    inference(scs_inference,[],[i_0_427,i_0_285]) ).

cnf(i_0_442,plain,
    ( ~ mustard_dix
    | mustard_barry ),
    inference(scs_inference,[],[i_0_427,i_0_383]) ).

cnf(i_0_443,plain,
    salt_mill,
    inference(scs_inference,[],[i_0_427,i_0_385]) ).

cnf(i_0_444,plain,
    ( ~ salt_cole
    | salt_cole ),
    inference(scs_inference,[],[i_0_427,i_0_396]) ).

cnf(i_0_445,plain,
    ( ~ salt_lang
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_443,i_0_79]) ).

cnf(i_0_446,plain,
    ( ~ mustard_dix
    | mustard_mill ),
    inference(scs_inference,[],[i_0_443,i_0_167]) ).

cnf(i_0_447,plain,
    mustard_barry,
    inference(scs_inference,[],[i_0_443,i_0_233]) ).

cnf(i_0_448,plain,
    ( ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_443,i_0_308]) ).

cnf(i_0_449,plain,
    ( ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_443,i_0_309]) ).

cnf(i_0_450,plain,
    ( ~ salt_lang
    | salt_cole ),
    inference(scs_inference,[],[i_0_443,i_0_338]) ).

cnf(i_0_451,plain,
    ( mustard_lang
    | mustard_dix ),
    inference(scs_inference,[],[i_0_443,i_0_344]) ).

cnf(i_0_452,plain,
    ( mustard_dix
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_443,i_0_345]) ).

cnf(i_0_453,plain,
    salt_mill,
    inference(scs_inference,[],[i_0_443,i_0_409]) ).

cnf(i_0_454,plain,
    ~ mustard_cole,
    inference(scs_inference,[],[i_0_443,i_0_419]) ).

cnf(i_0_455,plain,
    ( salt_cole
    | mustard_dix
    | ~ mustard_mill ),
    inference(scs_inference,[],[i_0_427,i_0_421]) ).

cnf(i_0_456,plain,
    ( salt_lang
    | salt_cole
    | mustard_dix
    | mustard_mill
    | ~ mustard_barry
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_427,i_0_443,i_0_431]) ).

cnf(i_0_457,plain,
    ( ~ mustard_dix
    | mustard_mill ),
    inference(scs_inference,[],[i_0_447,i_0_87]) ).

cnf(i_0_458,plain,
    ( ~ mustard_dix
    | salt_mill ),
    inference(scs_inference,[],[i_0_447,i_0_95]) ).

cnf(i_0_459,plain,
    ( ~ mustard_dix
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_447,i_0_132]) ).

cnf(i_0_460,plain,
    ( ~ salt_cole
    | salt_cole ),
    inference(scs_inference,[],[i_0_447,i_0_202]) ).

cnf(i_0_461,plain,
    ( ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_447,i_0_227]) ).

cnf(i_0_462,plain,
    ( salt_lang
    | salt_mill ),
    inference(scs_inference,[],[i_0_447,i_0_283]) ).

cnf(i_0_463,plain,
    ( mustard_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_447,i_0_312]) ).

cnf(i_0_464,plain,
    ( ~ mustard_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_447,i_0_314]) ).

cnf(i_0_465,plain,
    ( ~ salt_lang
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_447,i_0_320]) ).

cnf(i_0_466,plain,
    ( ~ salt_cole
    | salt_mill ),
    inference(scs_inference,[],[i_0_447,i_0_321]) ).

cnf(i_0_467,plain,
    mustard_barry,
    inference(scs_inference,[],[i_0_447,i_0_323]) ).

cnf(i_0_468,plain,
    ( salt_mill
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_447,i_0_333]) ).

cnf(i_0_469,plain,
    ( ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_447,i_0_334]) ).

cnf(i_0_470,plain,
    ( salt_cole
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_447,i_0_339]) ).

cnf(i_0_471,plain,
    ( mustard_dix
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_447,i_0_342]) ).

cnf(i_0_472,plain,
    ( mustard_lang
    | mustard_dix ),
    inference(scs_inference,[],[i_0_447,i_0_343]) ).

cnf(i_0_473,plain,
    ( ~ mustard_cole
    | salt_mill ),
    inference(scs_inference,[],[i_0_447,i_0_367]) ).

cnf(i_0_474,plain,
    salt_mill,
    inference(scs_inference,[],[i_0_447,i_0_402]) ).

cnf(i_0_475,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_447,i_0_404]) ).

cnf(i_0_476,plain,
    ~ salt_lang,
    inference(scs_inference,[],[i_0_447,i_0_406]) ).

cnf(i_0_477,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_447,i_0_425]) ).

cnf(i_0_478,plain,
    salt_mill,
    inference(scs_inference,[],[i_0_447,i_0_426]) ).

cnf(i_0_479,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_447,i_0_432]) ).

cnf(i_0_480,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_447,i_0_440]) ).

cnf(i_0_481,plain,
    mustard_lang,
    inference(scs_inference,[],[i_0_476,i_0_479,i_0_120]) ).

cnf(i_0_482,plain,
    ( ~ mustard_dix
    | mustard_mill ),
    inference(scs_inference,[],[i_0_479,i_0_138]) ).

cnf(i_0_483,plain,
    ( ~ mustard_dix
    | mustard_mill ),
    inference(scs_inference,[],[i_0_475,i_0_179]) ).

cnf(i_0_484,plain,
    ( ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_475,i_0_180]) ).

cnf(i_0_485,plain,
    mustard_barry,
    inference(scs_inference,[],[i_0_475,i_0_190]) ).

cnf(i_0_486,plain,
    ( ~ mustard_dix
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_475,i_0_251]) ).

cnf(i_0_487,plain,
    ( ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_475,i_0_256]) ).

cnf(i_0_488,plain,
    ( ~ mustard_mill
    | mustard_barry ),
    inference(scs_inference,[],[i_0_476,i_0_258]) ).

cnf(i_0_489,plain,
    ( mustard_lang
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_475,i_0_295]) ).

cnf(i_0_490,plain,
    mustard_lang,
    inference(scs_inference,[],[i_0_475,i_0_479,i_0_296]) ).

cnf(i_0_491,plain,
    salt_mill,
    inference(scs_inference,[],[i_0_475,i_0_299]) ).

cnf(i_0_492,plain,
    ( ~ salt_cole
    | mustard_mill ),
    inference(scs_inference,[],[i_0_479,i_0_307]) ).

cnf(i_0_493,plain,
    ( mustard_mill
    | mustard_lang ),
    inference(scs_inference,[],[i_0_479,i_0_311]) ).

cnf(i_0_494,plain,
    ~ mustard_cole,
    inference(scs_inference,[],[i_0_479,i_0_313]) ).

cnf(i_0_495,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_479,i_0_476,i_0_315]) ).

cnf(i_0_496,plain,
    ( ~ salt_cole
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_475,i_0_318]) ).

cnf(i_0_497,plain,
    mustard_barry,
    inference(scs_inference,[],[i_0_479,i_0_324]) ).

cnf(i_0_498,plain,
    ( ~ salt_lang
    | mustard_mill ),
    inference(scs_inference,[],[i_0_479,i_0_348]) ).

cnf(i_0_499,plain,
    ~ mustard_cole,
    inference(scs_inference,[],[i_0_475,i_0_366]) ).

cnf(i_0_500,plain,
    salt_mill,
    inference(scs_inference,[],[i_0_479,i_0_386]) ).

cnf(i_0_501,plain,
    ( ~ salt_lang
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_479,i_0_387]) ).

cnf(i_0_502,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_475,i_0_476,i_0_388]) ).

cnf(i_0_503,plain,
    mustard_barry,
    inference(scs_inference,[],[i_0_476,i_0_403]) ).

cnf(i_0_504,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_475,i_0_405]) ).

cnf(i_0_505,plain,
    ( salt_mill
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_476,i_0_418]) ).

cnf(i_0_506,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_476,i_0_423]) ).

cnf(i_0_507,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_475,i_0_428]) ).

cnf(i_0_508,plain,
    mustard_barry,
    inference(scs_inference,[],[i_0_476,i_0_429]) ).

cnf(i_0_509,plain,
    mustard_lang,
    inference(scs_inference,[],[i_0_475,i_0_434]) ).

cnf(i_0_510,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_476,i_0_435]) ).

cnf(i_0_511,plain,
    mustard_barry,
    inference(scs_inference,[],[i_0_476,i_0_441]) ).

cnf(i_0_512,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_475,i_0_444]) ).

cnf(i_0_513,plain,
    ~ salt_lang,
    inference(scs_inference,[],[i_0_475,i_0_450]) ).

cnf(i_0_514,plain,
    mustard_lang,
    inference(scs_inference,[],[i_0_479,i_0_451]) ).

cnf(i_0_515,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_479,i_0_452]) ).

cnf(i_0_516,plain,
    ~ mustard_mill,
    inference(scs_inference,[],[i_0_475,i_0_479,i_0_455]) ).

cnf(i_0_517,plain,
    ( mustard_mill
    | ~ mustard_lang ),
    inference(scs_inference,[],[i_0_476,i_0_475,i_0_479,i_0_447,i_0_456]) ).

cnf(i_0_518,plain,
    ( mustard_lang
    | ~ salt_lang ),
    inference(scs_inference,[],[i_0_516,i_0_310]) ).

cnf(i_0_519,plain,
    ( ~ salt_lang
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_516,i_0_352]) ).

cnf(i_0_520,plain,
    ( ~ salt_lang
    | ~ salt_cole ),
    inference(scs_inference,[],[i_0_516,i_0_355]) ).

cnf(i_0_521,plain,
    ~ salt_lang,
    inference(scs_inference,[],[i_0_490,i_0_363]) ).

cnf(i_0_522,plain,
    ~ mustard_cole,
    inference(scs_inference,[],[i_0_490,i_0_370]) ).

cnf(i_0_523,plain,
    salt_mill,
    inference(scs_inference,[],[i_0_516,i_0_378]) ).

cnf(i_0_524,plain,
    mustard_barry,
    inference(scs_inference,[],[i_0_516,i_0_379]) ).

cnf(i_0_525,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_490,i_0_391]) ).

cnf(i_0_526,plain,
    mustard_barry,
    inference(scs_inference,[],[i_0_490,i_0_392]) ).

cnf(i_0_527,plain,
    salt_mill,
    inference(scs_inference,[],[i_0_490,i_0_394]) ).

cnf(i_0_528,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_490,i_0_395]) ).

cnf(i_0_529,plain,
    ( ~ mustard_cole
    | ~ mustard_dix ),
    inference(scs_inference,[],[i_0_516,i_0_414]) ).

cnf(i_0_530,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_516,i_0_422]) ).

cnf(i_0_531,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_516,i_0_424]) ).

cnf(i_0_532,plain,
    ~ salt_lang,
    inference(scs_inference,[],[i_0_516,i_0_430]) ).

cnf(i_0_533,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_516,i_0_433]) ).

cnf(i_0_534,plain,
    mustard_lang,
    inference(scs_inference,[],[i_0_516,i_0_436]) ).

cnf(i_0_535,plain,
    ~ salt_lang,
    inference(scs_inference,[],[i_0_516,i_0_437]) ).

cnf(i_0_536,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_516,i_0_439]) ).

cnf(i_0_537,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_516,i_0_446]) ).

cnf(i_0_538,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_516,i_0_448]) ).

cnf(i_0_539,plain,
    ~ salt_lang,
    inference(scs_inference,[],[i_0_516,i_0_449]) ).

cnf(i_0_540,plain,
    ~ mustard_dix,
    inference(scs_inference,[],[i_0_516,i_0_457]) ).

cnf(i_0_541,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_477,i_0_460]) ).

cnf(i_0_542,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_516,i_0_461]) ).

cnf(i_0_543,plain,
    mustard_lang,
    inference(scs_inference,[],[i_0_516,i_0_463]) ).

cnf(i_0_544,plain,
    ~ salt_lang,
    inference(scs_inference,[],[i_0_516,i_0_469]) ).

cnf(i_0_545,plain,
    ~ salt_lang,
    inference(scs_inference,[],[i_0_477,i_0_470]) ).

cnf(i_0_546,plain,
    ~ salt_cole,
    inference(scs_inference,[],[i_0_495,i_0_471]) ).

cnf(i_0_547,plain,
    mustard_lang,
    inference(scs_inference,[],[i_0_495,i_0_472]) ).

cnf(i_0_548,plain,
    $false,
    inference(scs_inference,[],[i_0_490,i_0_516,i_0_517]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ030-2 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n016.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Tue May  5 01:33:36 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 0.58/1.61  % Version  : CSE_E---1.7
% 0.58/1.61  % Problem  : theBenchmark.p
% 0.58/1.61  % SZS status Unsatisfiable for theBenchmark.p
% 0.58/1.61  % SZS output start CNFRefutation
% See solution above
% 0.90/1.96  % Total time : 1.271s
%------------------------------------------------------------------------------