TSTP Solution File: PUZ030-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:12:43 EDT 2023

% Result   : Unsatisfiable 0.22s 0.51s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   42
% Syntax   : Number of clauses     :  166 (  12 unt;  49 nHn; 160 RR)
%            Number of literals    :  405 (   0 equ; 217 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule5_3,hypothesis,
    ( salt(dix)
    | ~ both(cole) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule5_3) ).

cnf(one_condition_holds1,axiom,
    ( both(X1)
    | neither(X1)
    | oneof(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',one_condition_holds1) ).

cnf(neither2,axiom,
    ( ~ neither(X1)
    | ~ salt(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',neither2) ).

cnf(rule7_3,hypothesis,
    ( salt(lang)
    | ~ oneof(dix) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule7_3) ).

cnf(rule4_2,hypothesis,
    ( mustard(cole)
    | ~ both(dix) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule4_2) ).

cnf(rule1_2,hypothesis,
    ( salt(barry)
    | ~ oneof(cole) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule1_2) ).

cnf(oneof4,axiom,
    ( ~ oneof(X1)
    | ~ salt(X1)
    | ~ mustard(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',oneof4) ).

cnf(rule3_2,hypothesis,
    ( salt(cole)
    | ~ oneof(barry) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule3_2) ).

cnf(oneof2,axiom,
    ( ~ oneof(X1)
    | ~ both(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',oneof2) ).

cnf(rule5_1,hypothesis,
    ( neither(barry)
    | both(cole)
    | ~ salt(dix) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule5_1) ).

cnf(both1,axiom,
    ( salt(X1)
    | ~ both(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',both1) ).

cnf(both2,axiom,
    ( mustard(X1)
    | ~ both(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',both2) ).

cnf(rule9_1,hypothesis,
    ( both(barry)
    | both(lang)
    | ~ salt(mill) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule9_1) ).

cnf(rule2_3,hypothesis,
    ( mustard(barry)
    | ~ both(mill) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule2_3) ).

cnf(both3,axiom,
    ( both(X1)
    | ~ salt(X1)
    | ~ mustard(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',both3) ).

cnf(rule10_2,hypothesis,
    ( mustard(mill)
    | ~ oneof(cole) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule10_2) ).

cnf(rule2_1,hypothesis,
    ( neither(dix)
    | both(mill)
    | ~ mustard(barry) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule2_1) ).

cnf(rule9_2,hypothesis,
    ( salt(mill)
    | ~ both(barry) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule9_2) ).

cnf(rule7_1,hypothesis,
    ( oneof(barry)
    | oneof(dix)
    | ~ salt(lang) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule7_1) ).

cnf(oneof1,axiom,
    ( salt(X1)
    | mustard(X1)
    | ~ oneof(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',oneof1) ).

cnf(rule2_2,hypothesis,
    ( mustard(barry)
    | ~ neither(dix) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule2_2) ).

cnf(neither3,axiom,
    ( ~ neither(X1)
    | ~ mustard(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',neither3) ).

cnf(rule6_2,hypothesis,
    ( mustard(dix)
    | ~ neither(lang) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule6_2) ).

cnf(neither1,axiom,
    ( ~ both(X1)
    | ~ neither(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',neither1) ).

cnf(rule4_1,hypothesis,
    ( both(dix)
    | both(lang)
    | ~ mustard(cole) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule4_1) ).

cnf(rule9_3,hypothesis,
    ( mustard(mill)
    | ~ both(lang) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule9_3) ).

cnf(rule7_2,hypothesis,
    ( salt(lang)
    | ~ oneof(barry) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule7_2) ).

cnf(rule1_3,hypothesis,
    ( salt(barry)
    | ~ oneof(lang) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule1_3) ).

cnf(oneof3,axiom,
    ( ~ oneof(X1)
    | ~ neither(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',oneof3) ).

cnf(rule4_3,hypothesis,
    ( mustard(cole)
    | ~ both(lang) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule4_3) ).

cnf(rule10_1,hypothesis,
    ( oneof(cole)
    | oneof(dix)
    | ~ mustard(mill) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule10_1) ).

cnf(neither4,axiom,
    ( salt(X1)
    | mustard(X1)
    | neither(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',neither4) ).

cnf(rule8_2,hypothesis,
    ( mustard(lang)
    | ~ neither(cole) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule8_2) ).

cnf(rule8_3,hypothesis,
    ( mustard(lang)
    | ~ neither(mill) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule8_3) ).

cnf(rule8_1,hypothesis,
    ( neither(cole)
    | neither(mill)
    | ~ mustard(lang) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule8_1) ).

cnf(rule5_2,hypothesis,
    ( salt(dix)
    | ~ neither(barry) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule5_2) ).

cnf(rule6_1,hypothesis,
    ( neither(lang)
    | neither(mill)
    | ~ mustard(dix) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule6_1) ).

cnf(rule6_3,hypothesis,
    ( mustard(dix)
    | ~ neither(mill) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule6_3) ).

cnf(prove_who_takes_what,negated_conjecture,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ both(barry)
    | ~ oneof(lang)
    | ~ salt(mill)
    | ~ mustard(lang)
    | ~ oneof(mill) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',prove_who_takes_what) ).

cnf(rule3_1,hypothesis,
    ( oneof(barry)
    | neither(mill)
    | ~ salt(cole) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule3_1) ).

cnf(rule3_3,hypothesis,
    ( salt(cole)
    | ~ neither(mill) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule3_3) ).

cnf(rule10_3,hypothesis,
    ( mustard(mill)
    | ~ oneof(dix) ),
    file('/export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p',rule10_3) ).

cnf(c_0_42,hypothesis,
    ( salt(dix)
    | ~ both(cole) ),
    rule5_3 ).

cnf(c_0_43,axiom,
    ( both(X1)
    | neither(X1)
    | oneof(X1) ),
    one_condition_holds1 ).

cnf(c_0_44,axiom,
    ( ~ neither(X1)
    | ~ salt(X1) ),
    neither2 ).

cnf(c_0_45,hypothesis,
    ( salt(lang)
    | ~ oneof(dix) ),
    rule7_3 ).

cnf(c_0_46,hypothesis,
    ( mustard(cole)
    | ~ both(dix) ),
    rule4_2 ).

cnf(c_0_47,hypothesis,
    ( salt(barry)
    | ~ oneof(cole) ),
    rule1_2 ).

cnf(c_0_48,hypothesis,
    ( neither(cole)
    | oneof(cole)
    | salt(dix) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_49,axiom,
    ( ~ oneof(X1)
    | ~ salt(X1)
    | ~ mustard(X1) ),
    oneof4 ).

cnf(c_0_50,hypothesis,
    ( salt(cole)
    | ~ oneof(barry) ),
    rule3_2 ).

cnf(c_0_51,hypothesis,
    ( ~ neither(lang)
    | ~ oneof(dix) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_52,hypothesis,
    ( neither(dix)
    | oneof(dix)
    | mustard(cole) ),
    inference(spm,[status(thm)],[c_0_46,c_0_43]) ).

cnf(c_0_53,axiom,
    ( ~ oneof(X1)
    | ~ both(X1) ),
    oneof2 ).

cnf(c_0_54,hypothesis,
    ( neither(barry)
    | both(cole)
    | ~ salt(dix) ),
    rule5_1 ).

cnf(c_0_55,hypothesis,
    ( ~ neither(barry)
    | ~ oneof(cole) ),
    inference(spm,[status(thm)],[c_0_44,c_0_47]) ).

cnf(c_0_56,axiom,
    ( salt(X1)
    | ~ both(X1) ),
    both1 ).

cnf(c_0_57,axiom,
    ( mustard(X1)
    | ~ both(X1) ),
    both2 ).

cnf(c_0_58,hypothesis,
    ( both(barry)
    | both(lang)
    | ~ salt(mill) ),
    rule9_1 ).

cnf(c_0_59,hypothesis,
    ( mustard(barry)
    | ~ both(mill) ),
    rule2_3 ).

cnf(c_0_60,axiom,
    ( both(X1)
    | ~ salt(X1)
    | ~ mustard(X1) ),
    both3 ).

cnf(c_0_61,hypothesis,
    ( mustard(mill)
    | ~ oneof(cole) ),
    rule10_2 ).

cnf(c_0_62,hypothesis,
    ( neither(cole)
    | oneof(cole)
    | ~ neither(dix) ),
    inference(spm,[status(thm)],[c_0_44,c_0_48]) ).

cnf(c_0_63,hypothesis,
    ( neither(dix)
    | both(mill)
    | ~ mustard(barry) ),
    rule2_1 ).

cnf(c_0_64,hypothesis,
    ( salt(mill)
    | ~ both(barry) ),
    rule9_2 ).

cnf(c_0_65,hypothesis,
    ( oneof(barry)
    | oneof(dix)
    | ~ salt(lang) ),
    rule7_1 ).

cnf(c_0_66,axiom,
    ( salt(X1)
    | mustard(X1)
    | ~ oneof(X1) ),
    oneof1 ).

cnf(c_0_67,hypothesis,
    ( ~ oneof(barry)
    | ~ oneof(cole)
    | ~ mustard(barry) ),
    inference(spm,[status(thm)],[c_0_49,c_0_47]) ).

cnf(c_0_68,hypothesis,
    ( mustard(barry)
    | ~ neither(dix) ),
    rule2_2 ).

cnf(c_0_69,hypothesis,
    ( ~ neither(cole)
    | ~ oneof(barry) ),
    inference(spm,[status(thm)],[c_0_44,c_0_50]) ).

cnf(c_0_70,axiom,
    ( ~ neither(X1)
    | ~ mustard(X1) ),
    neither3 ).

cnf(c_0_71,hypothesis,
    ( neither(dix)
    | mustard(cole)
    | ~ neither(lang) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_72,hypothesis,
    ( mustard(dix)
    | ~ neither(lang) ),
    rule6_2 ).

cnf(c_0_73,axiom,
    ( ~ both(X1)
    | ~ neither(X1) ),
    neither1 ).

cnf(c_0_74,hypothesis,
    ( both(dix)
    | both(lang)
    | ~ mustard(cole) ),
    rule4_1 ).

cnf(c_0_75,hypothesis,
    ( ~ oneof(cole)
    | ~ salt(dix) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).

cnf(c_0_76,plain,
    ( neither(X1)
    | oneof(X1)
    | salt(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_43]) ).

cnf(c_0_77,hypothesis,
    ( mustard(mill)
    | ~ both(lang) ),
    rule9_3 ).

cnf(c_0_78,hypothesis,
    ( mustard(barry)
    | both(lang)
    | ~ salt(mill) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_79,hypothesis,
    ( mustard(barry)
    | ~ mustard(mill)
    | ~ salt(mill) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_80,hypothesis,
    ( neither(cole)
    | mustard(mill)
    | ~ neither(dix) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_81,hypothesis,
    ( neither(dix)
    | mustard(mill)
    | ~ mustard(barry) ),
    inference(spm,[status(thm)],[c_0_57,c_0_63]) ).

cnf(c_0_82,hypothesis,
    ( salt(lang)
    | ~ oneof(barry) ),
    rule7_2 ).

cnf(c_0_83,hypothesis,
    ( neither(barry)
    | oneof(barry)
    | salt(mill) ),
    inference(spm,[status(thm)],[c_0_64,c_0_43]) ).

cnf(c_0_84,hypothesis,
    ( salt(barry)
    | ~ oneof(lang) ),
    rule1_3 ).

cnf(c_0_85,axiom,
    ( ~ oneof(X1)
    | ~ neither(X1) ),
    oneof3 ).

cnf(c_0_86,hypothesis,
    ( oneof(dix)
    | oneof(barry)
    | mustard(lang)
    | ~ oneof(lang) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_87,hypothesis,
    ( ~ neither(dix)
    | ~ oneof(barry) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_62]),c_0_68]),c_0_69]) ).

cnf(c_0_88,hypothesis,
    ( mustard(cole)
    | ~ both(lang) ),
    rule4_3 ).

cnf(c_0_89,hypothesis,
    ( mustard(cole)
    | ~ neither(lang) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

cnf(c_0_90,hypothesis,
    ( both(lang)
    | ~ neither(dix)
    | ~ mustard(cole) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_91,hypothesis,
    ( neither(dix)
    | oneof(dix)
    | ~ oneof(cole) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_92,hypothesis,
    ( oneof(cole)
    | oneof(dix)
    | ~ mustard(mill) ),
    rule10_1 ).

cnf(c_0_93,hypothesis,
    ( mustard(barry)
    | ~ salt(mill) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).

cnf(c_0_94,axiom,
    ( salt(X1)
    | mustard(X1)
    | neither(X1) ),
    neither4 ).

cnf(c_0_95,hypothesis,
    ( mustard(lang)
    | ~ neither(cole) ),
    rule8_2 ).

cnf(c_0_96,hypothesis,
    ( neither(cole)
    | mustard(mill)
    | ~ mustard(barry) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_97,hypothesis,
    ( ~ oneof(lang)
    | ~ oneof(barry)
    | ~ mustard(lang) ),
    inference(spm,[status(thm)],[c_0_49,c_0_82]) ).

cnf(c_0_98,hypothesis,
    ( neither(barry)
    | oneof(barry)
    | ~ neither(mill) ),
    inference(spm,[status(thm)],[c_0_44,c_0_83]) ).

cnf(c_0_99,hypothesis,
    ( mustard(lang)
    | ~ neither(mill) ),
    rule8_3 ).

cnf(c_0_100,hypothesis,
    ( ~ neither(barry)
    | ~ oneof(lang) ),
    inference(spm,[status(thm)],[c_0_44,c_0_84]) ).

cnf(c_0_101,hypothesis,
    ( mustard(lang)
    | ~ neither(dix)
    | ~ oneof(lang) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

cnf(c_0_102,hypothesis,
    ( oneof(lang)
    | mustard(cole) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_43]),c_0_89]) ).

cnf(c_0_103,hypothesis,
    ( mustard(lang)
    | ~ neither(dix)
    | ~ mustard(cole) ),
    inference(spm,[status(thm)],[c_0_57,c_0_90]) ).

cnf(c_0_104,hypothesis,
    ( neither(dix)
    | ~ neither(lang)
    | ~ oneof(cole) ),
    inference(spm,[status(thm)],[c_0_51,c_0_91]) ).

cnf(c_0_105,hypothesis,
    ( oneof(cole)
    | ~ neither(lang)
    | ~ mustard(mill) ),
    inference(spm,[status(thm)],[c_0_51,c_0_92]) ).

cnf(c_0_106,hypothesis,
    ( neither(mill)
    | mustard(mill)
    | mustard(barry) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_107,hypothesis,
    ( mustard(mill)
    | mustard(lang)
    | ~ mustard(barry) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_108,hypothesis,
    ( ~ neither(mill)
    | ~ oneof(lang) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100]) ).

cnf(c_0_109,hypothesis,
    ( neither(lang)
    | oneof(lang)
    | mustard(mill) ),
    inference(spm,[status(thm)],[c_0_77,c_0_43]) ).

cnf(c_0_110,hypothesis,
    ( neither(cole)
    | neither(mill)
    | ~ mustard(lang) ),
    rule8_1 ).

cnf(c_0_111,hypothesis,
    ( salt(dix)
    | ~ neither(barry) ),
    rule5_2 ).

cnf(c_0_112,hypothesis,
    ( mustard(cole)
    | ~ mustard(lang)
    | ~ salt(lang) ),
    inference(spm,[status(thm)],[c_0_88,c_0_60]) ).

cnf(c_0_113,hypothesis,
    ( salt(mill)
    | ~ mustard(barry)
    | ~ salt(barry) ),
    inference(spm,[status(thm)],[c_0_64,c_0_60]) ).

cnf(c_0_114,hypothesis,
    ( mustard(lang)
    | ~ neither(dix) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).

cnf(c_0_115,hypothesis,
    ( neither(dix)
    | ~ neither(lang)
    | ~ mustard(mill) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_116,hypothesis,
    ( mustard(mill)
    | mustard(lang) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_106]),c_0_107]) ).

cnf(c_0_117,hypothesis,
    ( neither(lang)
    | ~ neither(mill) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_70]) ).

cnf(c_0_118,hypothesis,
    ( neither(lang)
    | neither(mill)
    | ~ mustard(dix) ),
    rule6_1 ).

cnf(c_0_119,hypothesis,
    ( mustard(dix)
    | ~ neither(mill) ),
    rule6_3 ).

cnf(c_0_120,hypothesis,
    ( neither(mill)
    | ~ mustard(cole)
    | ~ mustard(lang) ),
    inference(spm,[status(thm)],[c_0_70,c_0_110]) ).

cnf(c_0_121,hypothesis,
    ( ~ neither(dix)
    | ~ neither(barry) ),
    inference(spm,[status(thm)],[c_0_44,c_0_111]) ).

cnf(c_0_122,hypothesis,
    ( mustard(cole)
    | ~ oneof(dix)
    | ~ mustard(lang) ),
    inference(spm,[status(thm)],[c_0_112,c_0_45]) ).

cnf(c_0_123,hypothesis,
    ( salt(mill)
    | ~ oneof(cole)
    | ~ mustard(barry) ),
    inference(spm,[status(thm)],[c_0_113,c_0_47]) ).

cnf(c_0_124,hypothesis,
    ~ neither(lang),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_70]) ).

cnf(c_0_125,hypothesis,
    ( neither(lang)
    | ~ mustard(dix) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_126,hypothesis,
    ( mustard(dix)
    | both(lang)
    | ~ mustard(cole) ),
    inference(spm,[status(thm)],[c_0_57,c_0_74]) ).

cnf(c_0_127,hypothesis,
    ( mustard(dix)
    | ~ mustard(cole)
    | ~ mustard(lang) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_128,hypothesis,
    ( ~ neither(dix)
    | ~ neither(mill) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_98]),c_0_121]) ).

cnf(c_0_129,hypothesis,
    ( neither(dix)
    | mustard(cole)
    | ~ mustard(lang) ),
    inference(spm,[status(thm)],[c_0_122,c_0_52]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ both(barry)
    | ~ oneof(lang)
    | ~ salt(mill)
    | ~ mustard(lang)
    | ~ oneof(mill) ),
    prove_who_takes_what ).

cnf(c_0_131,hypothesis,
    ( ~ oneof(mill)
    | ~ oneof(cole)
    | ~ mustard(barry) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_123]),c_0_61]) ).

cnf(c_0_132,hypothesis,
    ~ mustard(dix),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_133,hypothesis,
    ( mustard(dix)
    | ~ mustard(cole) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_126]),c_0_127]) ).

cnf(c_0_134,hypothesis,
    ( oneof(barry)
    | neither(mill)
    | ~ salt(cole) ),
    rule3_1 ).

cnf(c_0_135,hypothesis,
    ( mustard(cole)
    | ~ neither(mill) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_99]) ).

cnf(c_0_136,hypothesis,
    ( ~ mustard(lang)
    | ~ mustard(dix) ),
    inference(spm,[status(thm)],[c_0_70,c_0_125]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ neither(cole)
    | ~ neither(dix)
    | ~ oneof(lang)
    | ~ oneof(mill)
    | ~ both(barry) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_130,c_0_64]),c_0_95]) ).

cnf(c_0_138,hypothesis,
    ( neither(cole)
    | ~ neither(dix)
    | ~ oneof(mill) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_62]),c_0_68]) ).

cnf(c_0_139,hypothesis,
    ~ mustard(cole),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_140,hypothesis,
    ( salt(cole)
    | ~ neither(mill) ),
    rule3_3 ).

cnf(c_0_141,hypothesis,
    ( mustard(cole)
    | ~ oneof(barry)
    | ~ mustard(lang) ),
    inference(spm,[status(thm)],[c_0_112,c_0_82]) ).

cnf(c_0_142,hypothesis,
    ( neither(cole)
    | oneof(barry)
    | mustard(cole) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_94]),c_0_135]) ).

cnf(c_0_143,hypothesis,
    ( ~ mustard(lang)
    | ~ mustard(cole) ),
    inference(spm,[status(thm)],[c_0_136,c_0_133]) ).

cnf(c_0_144,hypothesis,
    ( mustard(mill)
    | ~ oneof(dix) ),
    rule10_3 ).

cnf(c_0_145,plain,
    ( neither(X1)
    | oneof(X1)
    | mustard(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_43]) ).

cnf(c_0_146,hypothesis,
    ( ~ mustard(mill)
    | ~ mustard(cole)
    | ~ mustard(lang) ),
    inference(spm,[status(thm)],[c_0_70,c_0_120]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ neither(dix)
    | ~ oneof(lang)
    | ~ oneof(mill) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_60]),c_0_84]),c_0_68]),c_0_138]) ).

cnf(c_0_148,hypothesis,
    oneof(lang),
    inference(sr,[status(thm)],[c_0_102,c_0_139]) ).

cnf(c_0_149,hypothesis,
    ( ~ neither(cole)
    | ~ neither(mill) ),
    inference(spm,[status(thm)],[c_0_44,c_0_140]) ).

cnf(c_0_150,hypothesis,
    ( neither(cole)
    | ~ mustard(lang) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).

cnf(c_0_151,hypothesis,
    ( neither(dix)
    | mustard(dix)
    | mustard(mill) ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_152,hypothesis,
    ( oneof(cole)
    | ~ mustard(lang)
    | ~ mustard(mill) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_92]),c_0_146]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ neither(dix)
    | ~ oneof(mill) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]) ).

cnf(c_0_154,hypothesis,
    ~ neither(mill),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_99]) ).

cnf(c_0_155,hypothesis,
    ( neither(dix)
    | mustard(mill) ),
    inference(sr,[status(thm)],[c_0_151,c_0_132]) ).

cnf(c_0_156,hypothesis,
    ( ~ neither(cole)
    | ~ mustard(mill) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_152]),c_0_95]) ).

cnf(c_0_157,negated_conjecture,
    mustard(mill),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_145]),c_0_154]),c_0_155]) ).

cnf(c_0_158,hypothesis,
    ~ neither(cole),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157])]) ).

cnf(c_0_159,hypothesis,
    oneof(barry),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_142,c_0_139]),c_0_158]) ).

cnf(c_0_160,hypothesis,
    ( neither(dix)
    | oneof(dix) ),
    inference(sr,[status(thm)],[c_0_52,c_0_139]) ).

cnf(c_0_161,hypothesis,
    ~ neither(dix),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_159])]) ).

cnf(c_0_162,hypothesis,
    ( mustard(dix)
    | ~ oneof(cole)
    | ~ oneof(dix) ),
    inference(spm,[status(thm)],[c_0_75,c_0_66]) ).

cnf(c_0_163,hypothesis,
    oneof(dix),
    inference(sr,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_164,hypothesis,
    ~ oneof(cole),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163])]),c_0_132]) ).

cnf(c_0_165,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_145]),c_0_158]),c_0_139]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 19:01:39 EDT 2023
% 0.22/0.35  % CPUTime    : 
% 0.22/0.48  Running first-order model finding
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.t5ZGSwTf8r/E---3.1_18706.p
% 0.22/0.51  # Version: 3.1pre001
% 0.22/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # Starting sh5l with 300s (1) cores
% 0.22/0.51  # new_bool_1 with pid 18788 completed with status 0
% 0.22/0.51  # Result found by new_bool_1
% 0.22/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGHNF-FFMF00-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51  # SAT001_MinMin_p005000_rr_RG with pid 18794 completed with status 0
% 0.22/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGHNF-FFMF00-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51  # Preprocessing time       : 0.001 s
% 0.22/0.51  # Presaturation interreduction done
% 0.22/0.51  
% 0.22/0.51  # Proof found!
% 0.22/0.51  # SZS status Unsatisfiable
% 0.22/0.51  # SZS output start CNFRefutation
% See solution above
% 0.22/0.51  # Parsed axioms                        : 43
% 0.22/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.51  # Initial clauses                      : 43
% 0.22/0.51  # Removed in clause preprocessing      : 0
% 0.22/0.51  # Initial clauses in saturation        : 43
% 0.22/0.51  # Processed clauses                    : 519
% 0.22/0.51  # ...of these trivial                  : 6
% 0.22/0.51  # ...subsumed                          : 199
% 0.22/0.51  # ...remaining for further processing  : 314
% 0.22/0.51  # Other redundant clauses eliminated   : 0
% 0.22/0.51  # Clauses deleted for lack of memory   : 0
% 0.22/0.51  # Backward-subsumed                    : 175
% 0.22/0.51  # Backward-rewritten                   : 40
% 0.22/0.51  # Generated clauses                    : 885
% 0.22/0.51  # ...of the previous two non-redundant : 679
% 0.22/0.51  # ...aggressively subsumed             : 0
% 0.22/0.51  # Contextual simplify-reflections      : 41
% 0.22/0.51  # Paramodulations                      : 869
% 0.22/0.51  # Factorizations                       : 0
% 0.22/0.51  # NegExts                              : 0
% 0.22/0.51  # Equation resolutions                 : 0
% 0.22/0.51  # Total rewrite steps                  : 50
% 0.22/0.51  # Propositional unsat checks           : 0
% 0.22/0.51  #    Propositional check models        : 0
% 0.22/0.51  #    Propositional check unsatisfiable : 0
% 0.22/0.51  #    Propositional clauses             : 0
% 0.22/0.51  #    Propositional clauses after purity: 0
% 0.22/0.51  #    Propositional unsat core size     : 0
% 0.22/0.51  #    Propositional preprocessing time  : 0.000
% 0.22/0.51  #    Propositional encoding time       : 0.000
% 0.22/0.51  #    Propositional solver time         : 0.000
% 0.22/0.51  #    Success case prop preproc time    : 0.000
% 0.22/0.51  #    Success case prop encoding time   : 0.000
% 0.22/0.51  #    Success case prop solver time     : 0.000
% 0.22/0.51  # Current number of processed clauses  : 40
% 0.22/0.51  #    Positive orientable unit clauses  : 8
% 0.22/0.51  #    Positive unorientable unit clauses: 0
% 0.22/0.51  #    Negative unit clauses             : 11
% 0.22/0.51  #    Non-unit-clauses                  : 21
% 0.22/0.51  # Current number of unprocessed clauses: 208
% 0.22/0.51  # ...number of literals in the above   : 808
% 0.22/0.51  # Current number of archived formulas  : 0
% 0.22/0.51  # Current number of archived clauses   : 274
% 0.22/0.51  # Clause-clause subsumption calls (NU) : 3753
% 0.22/0.51  # Rec. Clause-clause subsumption calls : 2435
% 0.22/0.51  # Non-unit clause-clause subsumptions  : 298
% 0.22/0.51  # Unit Clause-clause subsumption calls : 324
% 0.22/0.51  # Rewrite failures with RHS unbound    : 0
% 0.22/0.51  # BW rewrite match attempts            : 7
% 0.22/0.51  # BW rewrite match successes           : 7
% 0.22/0.51  # Condensation attempts                : 0
% 0.22/0.51  # Condensation successes               : 0
% 0.22/0.51  # Termbank termtop insertions          : 7255
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.022 s
% 0.22/0.51  # System time              : 0.003 s
% 0.22/0.51  # Total time               : 0.025 s
% 0.22/0.51  # Maximum resident set size: 1788 pages
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.023 s
% 0.22/0.51  # System time              : 0.005 s
% 0.22/0.51  # Total time               : 0.028 s
% 0.22/0.51  # Maximum resident set size: 1704 pages
% 0.22/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------