TSTP Solution File: PUZ030-2 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n026.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  : 600s
% DateTime : Mon Jul 18 18:20:50 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   63
%            Number of leaves      :   39
% Syntax   : Number of clauses     :  143 (  10 unt; 104 nHn; 143 RR)
%            Number of literals    :  450 (   0 equ; 141 neg)
%            Maximal clause size   :   10 (   3 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(c1,hypothesis,
    ( ~ salt_mill
    | mustard_barry
    | mustard_lang ) ).

cnf(c5,hypothesis,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ mustard_mill ) ).

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

cnf(c8,hypothesis,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ salt_mill ) ).

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

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

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

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

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

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

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

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

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

cnf(c28,hypothesis,
    ( ~ salt_cole
    | mustard_cole
    | mustard_mill ) ).

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

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

cnf(c32,hypothesis,
    ( ~ salt_dix
    | mustard_dix
    | salt_lang ) ).

cnf(c33,hypothesis,
    ( salt_barry
    | ~ mustard_barry
    | salt_lang ) ).

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

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

cnf(c37,hypothesis,
    ( ~ salt_dix
    | ~ mustard_dix
    | mustard_cole ) ).

cnf(c38,hypothesis,
    ( salt_barry
    | ~ mustard_barry
    | salt_cole ) ).

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

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

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

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

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

cnf(c45,hypothesis,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_mill ) ).

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

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

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

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

cnf(c53,hypothesis,
    ( ~ salt_lang
    | salt_barry
    | mustard_barry
    | ~ mustard_dix
    | ~ salt_dix ) ).

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

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

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

cnf(c60,hypothesis,
    ( salt_barry
    | mustard_barry
    | salt_dix ) ).

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

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

cnf(refute_0_0,plain,
    ( mustard_cole
    | mustard_lang
    | mustard_mill ),
    inference(resolve,[$cnf( salt_cole )],[c57,c28]) ).

cnf(refute_0_1,plain,
    ( mustard_cole
    | mustard_lang
    | salt_barry ),
    inference(resolve,[$cnf( salt_cole )],[c57,c44]) ).

cnf(refute_0_2,plain,
    ( ~ mustard_barry
    | ~ mustard_mill
    | ~ salt_barry
    | mustard_cole
    | mustard_lang ),
    inference(resolve,[$cnf( salt_cole )],[c57,c45]) ).

cnf(refute_0_3,plain,
    ( ~ mustard_barry
    | ~ mustard_mill
    | mustard_cole
    | mustard_lang ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ mustard_barry
    | mustard_cole
    | mustard_lang ),
    inference(resolve,[$cnf( mustard_mill )],[refute_0_0,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ mustard_dix
    | mustard_barry
    | mustard_cole
    | salt_barry ),
    inference(resolve,[$cnf( salt_dix )],[c60,c37]) ).

cnf(refute_0_6,plain,
    ( ~ salt_barry
    | mustard_barry
    | mustard_cole
    | mustard_dix ),
    inference(resolve,[$cnf( salt_dix )],[c62,c15]) ).

cnf(refute_0_7,plain,
    ( mustard_barry
    | mustard_cole
    | mustard_dix
    | mustard_lang ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_1,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( mustard_barry
    | mustard_dix
    | salt_lang ),
    inference(resolve,[$cnf( salt_dix )],[c62,c32]) ).

cnf(refute_0_9,plain,
    ( ~ mustard_lang
    | mustard_barry
    | mustard_cole
    | mustard_dix ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_8,c36]) ).

cnf(refute_0_10,plain,
    ( mustard_barry
    | mustard_cole
    | mustard_dix ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_7,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( mustard_barry
    | mustard_cole
    | salt_barry ),
    inference(resolve,[$cnf( mustard_dix )],[refute_0_10,refute_0_5]) ).

cnf(refute_0_12,plain,
    ( mustard_barry
    | mustard_cole
    | salt_lang ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_11,c34]) ).

cnf(refute_0_13,plain,
    ( ~ mustard_lang
    | mustard_barry
    | mustard_cole ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_12,c36]) ).

cnf(refute_0_14,plain,
    ( mustard_barry
    | mustard_cole
    | salt_cole ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_11,c39]) ).

cnf(refute_0_15,plain,
    ( mustard_barry
    | mustard_cole
    | mustard_mill ),
    inference(resolve,[$cnf( salt_cole )],[refute_0_14,c28]) ).

cnf(refute_0_16,plain,
    ( mustard_barry
    | mustard_cole
    | mustard_lang
    | salt_lang ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_1,c34]) ).

cnf(refute_0_17,plain,
    ( ~ mustard_dix
    | ~ mustard_mill
    | mustard_barry
    | mustard_cole
    | mustard_lang ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_16,c11]) ).

cnf(refute_0_18,plain,
    ( ~ mustard_dix
    | mustard_barry
    | mustard_cole
    | mustard_lang ),
    inference(resolve,[$cnf( mustard_mill )],[refute_0_15,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( mustard_barry
    | mustard_cole
    | mustard_lang ),
    inference(resolve,[$cnf( mustard_dix )],[refute_0_10,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( mustard_barry
    | mustard_cole ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_19,refute_0_13]) ).

cnf(refute_0_21,plain,
    ( mustard_barry
    | mustard_dix
    | mustard_mill ),
    inference(resolve,[$cnf( salt_dix )],[c62,c26]) ).

cnf(refute_0_22,plain,
    ( ~ mustard_cole
    | ~ mustard_lang
    | mustard_barry
    | mustard_dix ),
    inference(resolve,[$cnf( mustard_mill )],[refute_0_21,c5]) ).

cnf(refute_0_23,plain,
    ( mustard_barry
    | mustard_dix
    | mustard_lang ),
    inference(resolve,[$cnf( mustard_cole )],[refute_0_20,c17]) ).

cnf(refute_0_24,plain,
    ( ~ mustard_cole
    | mustard_barry
    | mustard_dix ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_23,refute_0_22]) ).

cnf(refute_0_25,plain,
    ( mustard_barry
    | mustard_dix ),
    inference(resolve,[$cnf( mustard_cole )],[refute_0_20,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( mustard_barry
    | mustard_lang
    | mustard_mill ),
    inference(resolve,[$cnf( salt_mill )],[c56,c1]) ).

cnf(refute_0_27,plain,
    ( mustard_barry
    | salt_barry
    | salt_cole ),
    inference(resolve,[$cnf( mustard_cole )],[refute_0_20,c43]) ).

cnf(refute_0_28,plain,
    ( ~ mustard_mill
    | mustard_barry
    | salt_barry ),
    inference(resolve,[$cnf( salt_cole )],[refute_0_27,c47]) ).

cnf(refute_0_29,plain,
    ( mustard_barry
    | mustard_lang
    | salt_barry ),
    inference(resolve,[$cnf( mustard_mill )],[refute_0_26,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( mustard_barry
    | mustard_lang
    | salt_lang ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_29,c34]) ).

cnf(refute_0_31,plain,
    ( ~ mustard_dix
    | ~ mustard_mill
    | mustard_barry
    | mustard_lang ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_30,c11]) ).

cnf(refute_0_32,plain,
    ( ~ mustard_dix
    | mustard_barry
    | mustard_lang ),
    inference(resolve,[$cnf( mustard_mill )],[refute_0_26,refute_0_31]) ).

cnf(refute_0_33,plain,
    ( mustard_barry
    | mustard_lang ),
    inference(resolve,[$cnf( mustard_dix )],[refute_0_25,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( mustard_barry
    | salt_barry
    | salt_lang ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_33,c41]) ).

cnf(refute_0_35,plain,
    ( ~ mustard_dix
    | ~ salt_dix
    | mustard_barry
    | salt_barry ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_34,c53]) ).

cnf(refute_0_36,plain,
    ( ~ mustard_dix
    | mustard_barry
    | salt_barry ),
    inference(resolve,[$cnf( salt_dix )],[c60,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( mustard_barry
    | salt_barry ),
    inference(resolve,[$cnf( mustard_dix )],[refute_0_25,refute_0_36]) ).

cnf(refute_0_38,plain,
    ( mustard_barry
    | salt_lang ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_37,c34]) ).

cnf(refute_0_39,plain,
    ( ~ mustard_lang
    | mustard_barry
    | salt_mill ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_38,c29]) ).

cnf(refute_0_40,plain,
    ( mustard_barry
    | salt_mill ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_33,refute_0_39]) ).

cnf(refute_0_41,plain,
    ( ~ mustard_dix
    | ~ salt_lang
    | mustard_barry ),
    inference(resolve,[$cnf( salt_mill )],[refute_0_40,c12]) ).

cnf(refute_0_42,plain,
    ( ~ mustard_dix
    | mustard_barry ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_38,refute_0_41]) ).

cnf(refute_0_43,plain,
    mustard_barry,
    inference(resolve,[$cnf( mustard_dix )],[refute_0_25,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( mustard_cole
    | mustard_lang ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_4]) ).

cnf(refute_0_45,plain,
    ( salt_barry
    | salt_cole ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,c38]) ).

cnf(refute_0_46,plain,
    ( mustard_cole
    | salt_barry ),
    inference(resolve,[$cnf( salt_cole )],[refute_0_45,c44]) ).

cnf(refute_0_47,plain,
    ( ~ mustard_barry
    | mustard_cole
    | salt_mill ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_46,c30]) ).

cnf(refute_0_48,plain,
    ( mustard_cole
    | salt_mill ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_47]) ).

cnf(refute_0_49,plain,
    ( ~ mustard_dix
    | ~ mustard_lang
    | mustard_cole ),
    inference(resolve,[$cnf( salt_mill )],[refute_0_48,c10]) ).

cnf(refute_0_50,plain,
    ( ~ mustard_dix
    | mustard_cole ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_44,refute_0_49]) ).

cnf(refute_0_51,plain,
    ( salt_barry
    | salt_lang ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,c33]) ).

cnf(refute_0_52,plain,
    ( mustard_lang
    | salt_barry ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_51,c42]) ).

cnf(refute_0_53,plain,
    ( mustard_dix
    | mustard_lang
    | salt_barry ),
    inference(resolve,[$cnf( salt_lang )],[c59,c42]) ).

cnf(refute_0_54,plain,
    ( ~ mustard_barry
    | ~ salt_barry
    | mustard_dix
    | mustard_lang
    | salt_dix ),
    inference(resolve,[$cnf( salt_lang )],[c59,c52]) ).

cnf(refute_0_55,plain,
    ( ~ mustard_barry
    | mustard_dix
    | mustard_lang
    | salt_dix ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_53,refute_0_54]) ).

cnf(refute_0_56,plain,
    ( mustard_dix
    | mustard_lang
    | salt_dix ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_55]) ).

cnf(refute_0_57,plain,
    ( ~ mustard_barry
    | mustard_dix
    | mustard_lang
    | salt_cole ),
    inference(resolve,[$cnf( salt_dix )],[refute_0_56,c14]) ).

cnf(refute_0_58,plain,
    ( mustard_dix
    | mustard_lang
    | salt_cole ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_57]) ).

cnf(refute_0_59,plain,
    ( ~ mustard_barry
    | mustard_lang
    | salt_mill ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_52,c30]) ).

cnf(refute_0_60,plain,
    ( mustard_lang
    | salt_mill ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_59]) ).

cnf(refute_0_61,plain,
    ( ~ mustard_barry
    | ~ salt_barry
    | ~ salt_cole
    | mustard_lang ),
    inference(resolve,[$cnf( salt_mill )],[refute_0_60,c46]) ).

cnf(refute_0_62,plain,
    ( ~ salt_barry
    | ~ salt_cole
    | mustard_lang ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( ~ salt_barry
    | mustard_dix
    | mustard_lang ),
    inference(resolve,[$cnf( salt_cole )],[refute_0_58,refute_0_62]) ).

cnf(refute_0_64,plain,
    ( mustard_dix
    | mustard_lang ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_52,refute_0_63]) ).

cnf(refute_0_65,plain,
    ( ~ mustard_lang
    | salt_barry
    | salt_mill ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_51,c29]) ).

cnf(refute_0_66,plain,
    ( mustard_dix
    | salt_barry
    | salt_mill ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_64,refute_0_65]) ).

cnf(refute_0_67,plain,
    ( ~ mustard_lang
    | ~ salt_cole
    | mustard_dix
    | salt_barry ),
    inference(resolve,[$cnf( salt_mill )],[refute_0_66,c8]) ).

cnf(refute_0_68,plain,
    ( ~ mustard_lang
    | mustard_dix
    | salt_barry ),
    inference(resolve,[$cnf( salt_cole )],[refute_0_45,refute_0_67]) ).

cnf(refute_0_69,plain,
    ( mustard_dix
    | salt_barry ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_64,refute_0_68]) ).

cnf(refute_0_70,plain,
    ( ~ mustard_barry
    | mustard_dix
    | salt_mill ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_69,c30]) ).

cnf(refute_0_71,plain,
    ( mustard_dix
    | salt_mill ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_70]) ).

cnf(refute_0_72,plain,
    ( ~ mustard_lang
    | ~ salt_cole
    | mustard_dix ),
    inference(resolve,[$cnf( salt_mill )],[refute_0_71,c8]) ).

cnf(refute_0_73,plain,
    ( ~ mustard_lang
    | ~ salt_barry
    | ~ salt_mill
    | mustard_cole
    | mustard_dix
    | mustard_mill
    | salt_cole
    | salt_dix
    | salt_lang ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,prove_who_takes_what]) ).

cnf(refute_0_74,plain,
    ( ~ mustard_lang
    | ~ salt_barry
    | mustard_cole
    | mustard_dix
    | mustard_mill
    | salt_cole
    | salt_dix
    | salt_lang ),
    inference(resolve,[$cnf( salt_mill )],[refute_0_71,refute_0_73]) ).

cnf(refute_0_75,plain,
    ( ~ mustard_lang
    | mustard_cole
    | mustard_dix
    | mustard_mill
    | salt_cole
    | salt_dix
    | salt_lang ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_69,refute_0_74]) ).

cnf(refute_0_76,plain,
    ( mustard_cole
    | mustard_dix
    | mustard_mill
    | salt_cole
    | salt_dix
    | salt_lang ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_64,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( ~ mustard_barry
    | ~ salt_barry
    | mustard_cole
    | mustard_dix
    | mustard_mill
    | salt_cole
    | salt_dix ),
    inference(resolve,[$cnf( salt_lang )],[refute_0_76,c52]) ).

cnf(refute_0_78,plain,
    ( ~ salt_barry
    | mustard_cole
    | mustard_dix
    | mustard_mill
    | salt_cole
    | salt_dix ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_77]) ).

cnf(refute_0_79,plain,
    ( mustard_cole
    | mustard_dix
    | mustard_mill
    | salt_cole
    | salt_dix ),
    inference(resolve,[$cnf( salt_barry )],[refute_0_69,refute_0_78]) ).

cnf(refute_0_80,plain,
    ( mustard_cole
    | mustard_dix
    | mustard_mill
    | salt_cole ),
    inference(resolve,[$cnf( salt_dix )],[refute_0_79,c26]) ).

cnf(refute_0_81,plain,
    ( mustard_cole
    | mustard_dix
    | mustard_mill ),
    inference(resolve,[$cnf( salt_cole )],[refute_0_80,c28]) ).

cnf(refute_0_82,plain,
    ( mustard_cole
    | mustard_dix
    | salt_cole
    | salt_dix ),
    inference(resolve,[$cnf( mustard_mill )],[refute_0_81,c50]) ).

cnf(refute_0_83,plain,
    ( ~ mustard_barry
    | mustard_cole
    | mustard_dix
    | salt_cole ),
    inference(resolve,[$cnf( salt_dix )],[refute_0_82,c14]) ).

cnf(refute_0_84,plain,
    ( mustard_cole
    | mustard_dix
    | salt_cole ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_83]) ).

cnf(refute_0_85,plain,
    ( ~ mustard_lang
    | mustard_cole
    | mustard_dix ),
    inference(resolve,[$cnf( salt_cole )],[refute_0_84,refute_0_72]) ).

cnf(refute_0_86,plain,
    ( mustard_cole
    | mustard_dix ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_64,refute_0_85]) ).

cnf(refute_0_87,plain,
    mustard_cole,
    inference(resolve,[$cnf( mustard_dix )],[refute_0_86,refute_0_50]) ).

cnf(refute_0_88,plain,
    ( salt_dix
    | salt_lang ),
    inference(resolve,[$cnf( mustard_cole )],[refute_0_87,c20]) ).

cnf(refute_0_89,plain,
    ( ~ mustard_cole
    | ~ mustard_lang
    | mustard_dix ),
    inference(resolve,[$cnf( salt_mill )],[refute_0_71,c6]) ).

cnf(refute_0_90,plain,
    ( ~ mustard_cole
    | mustard_dix ),
    inference(resolve,[$cnf( mustard_lang )],[refute_0_64,refute_0_89]) ).

cnf(refute_0_91,plain,
    mustard_dix,
    inference(resolve,[$cnf( mustard_cole )],[refute_0_87,refute_0_90]) ).

cnf(refute_0_92,plain,
    ( ~ mustard_barry
    | salt_mill ),
    inference(resolve,[$cnf( mustard_dix )],[refute_0_91,c22]) ).

cnf(refute_0_93,plain,
    salt_mill,
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_92]) ).

cnf(refute_0_94,plain,
    ( ~ mustard_dix
    | ~ salt_lang ),
    inference(resolve,[$cnf( salt_mill )],[refute_0_93,c12]) ).

cnf(refute_0_95,plain,
    ~ salt_lang,
    inference(resolve,[$cnf( mustard_dix )],[refute_0_91,refute_0_94]) ).

cnf(refute_0_96,plain,
    salt_dix,
    inference(resolve,[$cnf( salt_lang )],[refute_0_88,refute_0_95]) ).

cnf(refute_0_97,plain,
    ( ~ mustard_barry
    | salt_cole ),
    inference(resolve,[$cnf( salt_dix )],[refute_0_96,c14]) ).

cnf(refute_0_98,plain,
    salt_cole,
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_97]) ).

cnf(refute_0_99,plain,
    ( ~ mustard_barry
    | ~ salt_barry
    | ~ salt_cole ),
    inference(resolve,[$cnf( salt_mill )],[refute_0_93,c46]) ).

cnf(refute_0_100,plain,
    ( ~ salt_barry
    | ~ salt_cole ),
    inference(resolve,[$cnf( mustard_barry )],[refute_0_43,refute_0_99]) ).

cnf(refute_0_101,plain,
    salt_barry,
    inference(resolve,[$cnf( salt_lang )],[refute_0_51,refute_0_95]) ).

cnf(refute_0_102,plain,
    ~ salt_cole,
    inference(resolve,[$cnf( salt_barry )],[refute_0_101,refute_0_100]) ).

cnf(refute_0_103,plain,
    $false,
    inference(resolve,[$cnf( salt_cole )],[refute_0_98,refute_0_102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun May 29 01:23:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.42  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42  
% 0.20/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.42  
%------------------------------------------------------------------------------