TSTP Solution File: PUZ030-2 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n023.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 : Thu Aug 31 13:12:13 EDT 2023

% Result   : Unsatisfiable 0.49s 0.60s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  147 (   9 unt;  10 typ;   0 def)
%            Number of atoms       :  414 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  447 ( 170   ~; 277   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    salt_mill: $o ).

tff(decl_23,type,
    mustard_barry: $o ).

tff(decl_24,type,
    mustard_lang: $o ).

tff(decl_25,type,
    salt_lang: $o ).

tff(decl_26,type,
    salt_barry: $o ).

tff(decl_27,type,
    mustard_cole: $o ).

tff(decl_28,type,
    mustard_mill: $o ).

tff(decl_29,type,
    salt_cole: $o ).

tff(decl_30,type,
    mustard_dix: $o ).

tff(decl_31,type,
    salt_dix: $o ).

cnf(c41,hypothesis,
    ( salt_lang
    | salt_barry
    | ~ mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c41) ).

cnf(c57,hypothesis,
    ( salt_cole
    | mustard_cole
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c57) ).

cnf(c36,hypothesis,
    ( mustard_cole
    | ~ salt_lang
    | ~ mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c36) ).

cnf(c43,hypothesis,
    ( salt_cole
    | salt_barry
    | ~ mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c43) ).

cnf(c47,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c47) ).

cnf(c1,hypothesis,
    ( mustard_barry
    | mustard_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).

cnf(c56,hypothesis,
    ( salt_mill
    | mustard_mill
    | mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c56) ).

cnf(c48,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c48) ).

cnf(c29,hypothesis,
    ( salt_mill
    | ~ salt_lang
    | ~ mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c29) ).

cnf(c26,hypothesis,
    ( mustard_dix
    | mustard_mill
    | ~ salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c26) ).

cnf(c62,hypothesis,
    ( salt_dix
    | mustard_dix
    | mustard_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c62) ).

cnf(c17,hypothesis,
    ( mustard_dix
    | mustard_lang
    | ~ mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).

cnf(c15,hypothesis,
    ( mustard_cole
    | ~ salt_dix
    | ~ salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15) ).

cnf(c7,hypothesis,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).

cnf(c39,hypothesis,
    ( mustard_barry
    | salt_cole
    | ~ salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c39) ).

cnf(c11,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

cnf(c34,hypothesis,
    ( mustard_barry
    | salt_lang
    | ~ salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c34) ).

cnf(c6,hypothesis,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).

cnf(c44,hypothesis,
    ( mustard_cole
    | salt_barry
    | ~ salt_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c44) ).

cnf(c35,hypothesis,
    ( salt_dix
    | ~ salt_cole
    | ~ mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c35) ).

cnf(c59,hypothesis,
    ( salt_lang
    | mustard_lang
    | mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c59) ).

cnf(c3,hypothesis,
    ( salt_barry
    | mustard_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).

cnf(c24,hypothesis,
    ( salt_mill
    | ~ mustard_barry
    | ~ salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c24) ).

cnf(c42,hypothesis,
    ( mustard_lang
    | salt_barry
    | ~ salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c42) ).

cnf(c10,hypothesis,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

cnf(c22,hypothesis,
    ( salt_mill
    | ~ mustard_barry
    | ~ mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22) ).

cnf(c46,hypothesis,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c46) ).

cnf(c30,hypothesis,
    ( salt_mill
    | ~ salt_barry
    | ~ mustard_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c30) ).

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/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).

cnf(c50,hypothesis,
    ( salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c50) ).

cnf(c52,hypothesis,
    ( salt_dix
    | mustard_dix
    | ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c52) ).

cnf(c18,hypothesis,
    ( mustard_dix
    | salt_lang
    | ~ mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).

cnf(c14,hypothesis,
    ( salt_cole
    | ~ salt_dix
    | ~ mustard_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c14) ).

cnf(c12,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).

cnf(c20,hypothesis,
    ( salt_dix
    | salt_lang
    | ~ mustard_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c20) ).

cnf(c_0_35,hypothesis,
    ( salt_lang
    | salt_barry
    | ~ mustard_lang ),
    c41 ).

cnf(c_0_36,hypothesis,
    ( salt_cole
    | mustard_cole
    | mustard_lang ),
    c57 ).

cnf(c_0_37,hypothesis,
    ( mustard_cole
    | ~ salt_lang
    | ~ mustard_lang ),
    c36 ).

cnf(c_0_38,hypothesis,
    ( salt_cole
    | salt_barry
    | ~ mustard_cole ),
    c43 ).

cnf(c_0_39,hypothesis,
    ( salt_cole
    | mustard_cole
    | salt_barry
    | salt_lang ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,hypothesis,
    ( salt_cole
    | mustard_cole
    | ~ salt_lang ),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_41,hypothesis,
    ( salt_cole
    | salt_barry
    | salt_lang ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,hypothesis,
    ( salt_cole
    | mustard_cole
    | salt_barry ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_cole
    | ~ mustard_mill ),
    c47 ).

cnf(c_0_44,hypothesis,
    ( salt_cole
    | salt_barry ),
    inference(spm,[status(thm)],[c_0_38,c_0_42]) ).

cnf(c_0_45,hypothesis,
    ( mustard_barry
    | mustard_lang
    | ~ salt_mill ),
    c1 ).

cnf(c_0_46,hypothesis,
    ( salt_mill
    | mustard_mill
    | mustard_lang ),
    c56 ).

cnf(c_0_47,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_cole
    | ~ salt_mill ),
    c48 ).

cnf(c_0_48,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ mustard_mill ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,hypothesis,
    ( mustard_mill
    | mustard_lang
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_mill ),
    inference(spm,[status(thm)],[c_0_47,c_0_44]) ).

cnf(c_0_51,hypothesis,
    ( salt_mill
    | ~ salt_lang
    | ~ mustard_lang ),
    c29 ).

cnf(c_0_52,hypothesis,
    ( salt_barry
    | mustard_lang
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ salt_lang
    | ~ mustard_lang ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,hypothesis,
    ( salt_barry
    | salt_lang
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_35,c_0_52]) ).

cnf(c_0_55,hypothesis,
    ( mustard_dix
    | mustard_mill
    | ~ salt_dix ),
    c26 ).

cnf(c_0_56,hypothesis,
    ( salt_dix
    | mustard_dix
    | mustard_barry ),
    c62 ).

cnf(c_0_57,hypothesis,
    ( salt_barry
    | mustard_barry
    | ~ mustard_lang ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_58,hypothesis,
    ( mustard_dix
    | mustard_lang
    | ~ mustard_cole ),
    c17 ).

cnf(c_0_59,hypothesis,
    ( mustard_cole
    | ~ salt_dix
    | ~ salt_barry ),
    c15 ).

cnf(c_0_60,hypothesis,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ mustard_mill ),
    c7 ).

cnf(c_0_61,hypothesis,
    ( mustard_dix
    | mustard_mill
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_62,hypothesis,
    ( mustard_barry
    | salt_cole
    | ~ salt_barry ),
    c39 ).

cnf(c_0_63,hypothesis,
    ( salt_barry
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_57,c_0_52]) ).

cnf(c_0_64,hypothesis,
    ( mustard_dix
    | mustard_lang
    | ~ salt_dix
    | ~ salt_barry ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_65,hypothesis,
    ( mustard_dix
    | mustard_barry
    | ~ salt_cole
    | ~ mustard_lang ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,hypothesis,
    ( salt_cole
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_67,hypothesis,
    ( mustard_dix
    | mustard_lang
    | mustard_barry
    | ~ salt_barry ),
    inference(spm,[status(thm)],[c_0_64,c_0_56]) ).

cnf(c_0_68,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_mill ),
    c11 ).

cnf(c_0_69,hypothesis,
    ( mustard_dix
    | mustard_barry
    | ~ mustard_lang ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_70,hypothesis,
    ( mustard_dix
    | mustard_lang
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_67,c_0_63]) ).

cnf(c_0_71,hypothesis,
    ( mustard_lang
    | mustard_barry
    | ~ mustard_dix
    | ~ salt_lang ),
    inference(spm,[status(thm)],[c_0_68,c_0_49]) ).

cnf(c_0_72,hypothesis,
    ( mustard_dix
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,hypothesis,
    ( mustard_barry
    | salt_lang
    | ~ salt_barry ),
    c34 ).

cnf(c_0_74,hypothesis,
    ( mustard_lang
    | mustard_barry
    | ~ salt_lang ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_75,hypothesis,
    ( salt_lang
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_73,c_0_63]) ).

cnf(c_0_76,hypothesis,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ salt_mill ),
    c6 ).

cnf(c_0_77,hypothesis,
    ( mustard_lang
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_78,hypothesis,
    ( mustard_cole
    | salt_barry
    | ~ salt_cole ),
    c44 ).

cnf(c_0_79,hypothesis,
    ( ~ mustard_cole
    | ~ salt_lang
    | ~ mustard_lang ),
    inference(spm,[status(thm)],[c_0_76,c_0_51]) ).

cnf(c_0_80,hypothesis,
    ( mustard_cole
    | mustard_barry
    | ~ salt_lang ),
    inference(spm,[status(thm)],[c_0_37,c_0_77]) ).

cnf(c_0_81,hypothesis,
    ( salt_dix
    | ~ salt_cole
    | ~ mustard_cole ),
    c35 ).

cnf(c_0_82,hypothesis,
    ( mustard_cole
    | salt_barry ),
    inference(spm,[status(thm)],[c_0_78,c_0_44]) ).

cnf(c_0_83,hypothesis,
    ( salt_lang
    | mustard_lang
    | mustard_dix ),
    c59 ).

cnf(c_0_84,hypothesis,
    ( mustard_barry
    | ~ mustard_cole
    | ~ salt_lang ),
    inference(spm,[status(thm)],[c_0_79,c_0_77]) ).

cnf(c_0_85,hypothesis,
    ( mustard_cole
    | mustard_barry ),
    inference(spm,[status(thm)],[c_0_80,c_0_75]) ).

cnf(c_0_86,hypothesis,
    ( salt_barry
    | mustard_lang
    | ~ salt_mill ),
    c3 ).

cnf(c_0_87,hypothesis,
    ( salt_mill
    | ~ mustard_barry
    | ~ salt_dix ),
    c24 ).

cnf(c_0_88,hypothesis,
    ( salt_dix
    | salt_barry
    | ~ salt_cole ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_89,hypothesis,
    ( mustard_lang
    | salt_barry
    | ~ salt_lang ),
    c42 ).

cnf(c_0_90,hypothesis,
    ( mustard_dix
    | salt_barry
    | salt_lang ),
    inference(spm,[status(thm)],[c_0_35,c_0_83]) ).

cnf(c_0_91,hypothesis,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ salt_mill ),
    c10 ).

cnf(c_0_92,hypothesis,
    ( salt_mill
    | ~ mustard_barry
    | ~ mustard_dix ),
    c22 ).

cnf(c_0_93,hypothesis,
    ( mustard_barry
    | ~ salt_lang ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_94,hypothesis,
    ( salt_barry
    | mustard_lang
    | ~ salt_dix
    | ~ mustard_barry ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_95,hypothesis,
    ( salt_dix
    | salt_barry ),
    inference(spm,[status(thm)],[c_0_88,c_0_44]) ).

cnf(c_0_96,hypothesis,
    ( mustard_dix
    | salt_barry
    | mustard_lang ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_97,hypothesis,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ mustard_barry ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_98,hypothesis,
    mustard_barry,
    inference(spm,[status(thm)],[c_0_93,c_0_75]) ).

cnf(c_0_99,hypothesis,
    ( salt_barry
    | mustard_lang
    | ~ mustard_barry ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_100,hypothesis,
    ( mustard_dix
    | salt_barry
    | ~ mustard_cole
    | ~ salt_lang ),
    inference(spm,[status(thm)],[c_0_79,c_0_96]) ).

cnf(c_0_101,hypothesis,
    ( ~ mustard_dix
    | ~ mustard_lang ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).

cnf(c_0_102,hypothesis,
    ( salt_barry
    | mustard_lang ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_98])]) ).

cnf(c_0_103,hypothesis,
    ( mustard_dix
    | salt_barry
    | ~ salt_lang ),
    inference(spm,[status(thm)],[c_0_100,c_0_82]) ).

cnf(c_0_104,hypothesis,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill ),
    c46 ).

cnf(c_0_105,hypothesis,
    ( salt_mill
    | ~ salt_barry
    | ~ mustard_barry ),
    c30 ).

cnf(c_0_106,hypothesis,
    ( salt_barry
    | ~ mustard_dix ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_107,hypothesis,
    ( mustard_dix
    | salt_barry ),
    inference(spm,[status(thm)],[c_0_103,c_0_90]) ).

cnf(c_0_108,hypothesis,
    ( ~ salt_cole
    | ~ salt_barry
    | ~ mustard_barry ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_109,hypothesis,
    ( salt_mill
    | ~ salt_barry ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_98])]) ).

cnf(c_0_110,hypothesis,
    salt_barry,
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_111,hypothesis,
    ( ~ salt_cole
    | ~ salt_barry ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_98])]) ).

cnf(c_0_112,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 ).

cnf(c_0_113,hypothesis,
    salt_mill,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).

cnf(c_0_114,hypothesis,
    ~ salt_cole,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_110])]) ).

cnf(c_0_115,negated_conjecture,
    ( salt_dix
    | mustard_dix
    | mustard_mill
    | mustard_cole
    | salt_lang
    | ~ mustard_lang ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_98])]),c_0_110]),c_0_113])]),c_0_114]) ).

cnf(c_0_116,hypothesis,
    ( salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | ~ mustard_mill ),
    c50 ).

cnf(c_0_117,hypothesis,
    ( salt_dix
    | mustard_dix
    | mustard_mill
    | mustard_cole
    | salt_lang ),
    inference(spm,[status(thm)],[c_0_115,c_0_83]) ).

cnf(c_0_118,hypothesis,
    ( salt_dix
    | mustard_dix
    | ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry ),
    c52 ).

cnf(c_0_119,hypothesis,
    ( mustard_dix
    | salt_lang
    | ~ mustard_cole ),
    c18 ).

cnf(c_0_120,hypothesis,
    ( salt_dix
    | mustard_dix
    | mustard_cole
    | salt_lang ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_114]) ).

cnf(c_0_121,hypothesis,
    ( salt_cole
    | ~ salt_dix
    | ~ mustard_barry ),
    c14 ).

cnf(c_0_122,hypothesis,
    ( salt_dix
    | mustard_dix
    | ~ salt_lang ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_98])]),c_0_110])]) ).

cnf(c_0_123,hypothesis,
    ( salt_dix
    | mustard_dix
    | salt_lang ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_124,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ salt_mill ),
    c12 ).

cnf(c_0_125,hypothesis,
    ( mustard_cole
    | mustard_lang ),
    inference(sr,[status(thm)],[c_0_36,c_0_114]) ).

cnf(c_0_126,hypothesis,
    ( salt_cole
    | ~ salt_dix ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_98])]) ).

cnf(c_0_127,hypothesis,
    ( salt_dix
    | mustard_dix ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_128,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_barry ),
    inference(spm,[status(thm)],[c_0_124,c_0_92]) ).

cnf(c_0_129,hypothesis,
    ( mustard_cole
    | ~ mustard_dix ),
    inference(spm,[status(thm)],[c_0_101,c_0_125]) ).

cnf(c_0_130,hypothesis,
    mustard_dix,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_114]) ).

cnf(c_0_131,hypothesis,
    ( ~ mustard_dix
    | ~ salt_lang ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_98])]) ).

cnf(c_0_132,hypothesis,
    ( salt_dix
    | salt_lang
    | ~ mustard_cole ),
    c20 ).

cnf(c_0_133,hypothesis,
    mustard_cole,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130])]) ).

cnf(c_0_134,hypothesis,
    ~ salt_lang,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_130])]) ).

cnf(c_0_135,hypothesis,
    salt_dix,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_133])]),c_0_134]) ).

cnf(c_0_136,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_135])]),c_0_114]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat Aug 26 22:52:56 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.49/0.58  start to proof: theBenchmark
% 0.49/0.60  % Version  : CSE_E---1.5
% 0.49/0.60  % Problem  : theBenchmark.p
% 0.49/0.60  % Proof found
% 0.49/0.60  % SZS status Theorem for theBenchmark.p
% 0.49/0.60  % SZS output start Proof
% See solution above
% 0.49/0.60  % Total time : 0.013000 s
% 0.49/0.60  % SZS output end Proof
% 0.49/0.60  % Total time : 0.016000 s
%------------------------------------------------------------------------------