↑ Up

E-SAT---3.5.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : PUZ030-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:02:20 PM UTC 2026

% Result   : Unsatisfiable 0.22s 10.52s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   32
% Syntax   : Number of clauses     :  125 (   8 unt;  68 nHn; 125 RR)
%            Number of literals    :  371 (   0 equ; 168 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(c6,hypothesis,
    ( ~ salt_mill
    | ~ mustard_cole
    | ~ mustard_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).

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

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

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

cnf(c33,hypothesis,
    ( ~ mustard_barry
    | salt_lang
    | salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c33) ).

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

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

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

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

cnf(c4,hypothesis,
    ( ~ salt_mill
    | salt_lang
    | salt_barry ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).

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

cnf(c9,hypothesis,
    ( ~ mustard_mill
    | ~ mustard_lang
    | ~ mustard_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).

cnf(c61,hypothesis,
    ( salt_cole
    | mustard_mill
    | salt_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c61) ).

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

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

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

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

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

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

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

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

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

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

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

cnf(c19,hypothesis,
    ( ~ mustard_cole
    | mustard_lang
    | salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).

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

cnf(c25,hypothesis,
    ( ~ mustard_dix
    | mustard_mill
    | salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c25) ).

cnf(c31,hypothesis,
    ( ~ mustard_dix
    | salt_lang
    | salt_dix ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c31) ).

cnf(c23,hypothesis,
    ( ~ salt_dix
    | ~ mustard_barry
    | mustard_mill ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c23) ).

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

cnf(prove_who_takes_what,negated_conjecture,
    ( ~ mustard_lang
    | ~ salt_mill
    | ~ salt_barry
    | ~ mustard_barry
    | mustard_mill
    | mustard_dix
    | salt_dix
    | mustard_cole
    | salt_cole
    | salt_lang ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).

cnf(c16,hypothesis,
    ( ~ salt_barry
    | ~ salt_dix
    | salt_cole ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16) ).

cnf(c_0_32,hypothesis,
    ( ~ salt_mill
    | ~ mustard_cole
    | ~ mustard_lang ),
    inference(fof_simplification,[status(thm)],[c6]) ).

cnf(c_0_33,hypothesis,
    ( ~ mustard_lang
    | ~ salt_lang
    | salt_mill ),
    inference(fof_simplification,[status(thm)],[c29]) ).

cnf(c_0_34,hypothesis,
    ( ~ mustard_lang
    | ~ salt_lang
    | mustard_cole ),
    inference(fof_simplification,[status(thm)],[c36]) ).

cnf(c_0_35,hypothesis,
    ( ~ salt_mill
    | ~ mustard_cole
    | ~ mustard_lang ),
    c_0_32 ).

cnf(c_0_36,hypothesis,
    ( ~ mustard_lang
    | ~ salt_lang
    | salt_mill ),
    c_0_33 ).

cnf(c_0_37,hypothesis,
    ( ~ mustard_lang
    | ~ salt_lang
    | mustard_cole ),
    c_0_34 ).

cnf(c_0_38,hypothesis,
    ( ~ salt_lang
    | salt_barry
    | mustard_lang ),
    inference(fof_simplification,[status(thm)],[c42]) ).

cnf(c_0_39,hypothesis,
    ( ~ mustard_lang
    | ~ salt_lang ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_40,hypothesis,
    ( ~ salt_lang
    | salt_barry
    | mustard_lang ),
    c_0_38 ).

cnf(c_0_41,hypothesis,
    ( ~ mustard_barry
    | salt_lang
    | salt_barry ),
    inference(fof_simplification,[status(thm)],[c33]) ).

cnf(c_0_42,hypothesis,
    ( ~ mustard_mill
    | ~ salt_cole
    | mustard_barry
    | salt_barry ),
    inference(fof_simplification,[status(thm)],[c47]) ).

cnf(c_0_43,hypothesis,
    ( ~ salt_lang
    | salt_barry ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,hypothesis,
    ( ~ mustard_barry
    | salt_lang
    | salt_barry ),
    c_0_41 ).

cnf(c_0_45,hypothesis,
    ( ~ salt_mill
    | mustard_lang
    | salt_barry ),
    inference(fof_simplification,[status(thm)],[c3]) ).

cnf(c_0_46,hypothesis,
    ( ~ mustard_mill
    | ~ salt_cole
    | mustard_barry
    | salt_barry ),
    c_0_42 ).

cnf(c_0_47,hypothesis,
    ( ~ mustard_barry
    | salt_barry ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,hypothesis,
    ( ~ salt_mill
    | mustard_lang
    | salt_barry ),
    c_0_45 ).

cnf(c_0_49,hypothesis,
    ( mustard_lang
    | mustard_mill
    | salt_mill ),
    c56 ).

cnf(c_0_50,hypothesis,
    ( ~ mustard_lang
    | salt_barry
    | salt_lang ),
    inference(fof_simplification,[status(thm)],[c41]) ).

cnf(c_0_51,hypothesis,
    ( ~ mustard_mill
    | ~ salt_cole
    | salt_barry ),
    inference(csr,[status(thm)],[c_0_46,c_0_47]) ).

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

cnf(c_0_53,hypothesis,
    ( ~ salt_mill
    | salt_lang
    | salt_barry ),
    inference(fof_simplification,[status(thm)],[c4]) ).

cnf(c_0_54,hypothesis,
    ( ~ mustard_lang
    | salt_barry
    | salt_lang ),
    c_0_50 ).

cnf(c_0_55,hypothesis,
    ( ~ salt_cole
    | mustard_lang
    | salt_barry ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_56,hypothesis,
    ( mustard_dix
    | mustard_lang
    | salt_lang ),
    c59 ).

cnf(c_0_57,hypothesis,
    ( ~ mustard_mill
    | ~ mustard_lang
    | ~ mustard_dix ),
    inference(fof_simplification,[status(thm)],[c9]) ).

cnf(c_0_58,hypothesis,
    ( ~ salt_mill
    | salt_lang
    | salt_barry ),
    c_0_53 ).

cnf(c_0_59,hypothesis,
    ( salt_cole
    | mustard_mill
    | salt_mill ),
    c61 ).

cnf(c_0_60,hypothesis,
    ( ~ salt_cole
    | salt_barry ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_43]) ).

cnf(c_0_61,hypothesis,
    ( salt_lang
    | salt_barry
    | mustard_dix ),
    inference(spm,[status(thm)],[c_0_54,c_0_56]) ).

cnf(c_0_62,hypothesis,
    ( ~ mustard_cole
    | mustard_lang
    | mustard_dix ),
    inference(fof_simplification,[status(thm)],[c17]) ).

cnf(c_0_63,hypothesis,
    ( ~ mustard_cole
    | salt_lang
    | mustard_dix ),
    inference(fof_simplification,[status(thm)],[c18]) ).

cnf(c_0_64,hypothesis,
    ( ~ mustard_mill
    | ~ mustard_lang
    | ~ mustard_dix ),
    c_0_57 ).

cnf(c_0_65,hypothesis,
    ( salt_barry
    | mustard_mill ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_43]),c_0_60]) ).

cnf(c_0_66,hypothesis,
    ( salt_barry
    | mustard_dix ),
    inference(spm,[status(thm)],[c_0_43,c_0_61]) ).

cnf(c_0_67,hypothesis,
    ( ~ mustard_cole
    | salt_barry
    | salt_cole ),
    inference(fof_simplification,[status(thm)],[c43]) ).

cnf(c_0_68,hypothesis,
    ( ~ mustard_cole
    | mustard_lang
    | mustard_dix ),
    c_0_62 ).

cnf(c_0_69,hypothesis,
    ( ~ mustard_cole
    | salt_lang
    | mustard_dix ),
    c_0_63 ).

cnf(c_0_70,hypothesis,
    ( ~ salt_barry
    | ~ salt_dix
    | mustard_cole ),
    inference(fof_simplification,[status(thm)],[c15]) ).

cnf(c_0_71,hypothesis,
    ( ~ salt_mill
    | ~ salt_lang
    | ~ mustard_dix ),
    inference(fof_simplification,[status(thm)],[c12]) ).

cnf(c_0_72,hypothesis,
    ( ~ mustard_mill
    | ~ salt_lang
    | ~ mustard_dix ),
    inference(fof_simplification,[status(thm)],[c11]) ).

cnf(c_0_73,hypothesis,
    ( ~ salt_barry
    | salt_lang
    | mustard_barry ),
    inference(fof_simplification,[status(thm)],[c34]) ).

cnf(c_0_74,hypothesis,
    ( ~ mustard_lang
    | salt_barry ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_75,hypothesis,
    ( mustard_lang
    | mustard_cole
    | salt_cole ),
    c57 ).

cnf(c_0_76,hypothesis,
    ( ~ mustard_cole
    | salt_barry
    | salt_cole ),
    c_0_67 ).

cnf(c_0_77,hypothesis,
    ( ~ mustard_cole
    | mustard_dix ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_68]),c_0_69]) ).

cnf(c_0_78,hypothesis,
    ( ~ salt_barry
    | ~ salt_dix
    | mustard_cole ),
    c_0_70 ).

cnf(c_0_79,hypothesis,
    ( ~ salt_mill
    | ~ salt_barry
    | ~ mustard_barry
    | ~ salt_cole ),
    inference(fof_simplification,[status(thm)],[c46]) ).

cnf(c_0_80,hypothesis,
    ( ~ mustard_barry
    | ~ salt_barry
    | salt_mill ),
    inference(fof_simplification,[status(thm)],[c30]) ).

cnf(c_0_81,hypothesis,
    ( ~ salt_mill
    | ~ salt_lang
    | ~ mustard_dix ),
    c_0_71 ).

cnf(c_0_82,hypothesis,
    ( ~ mustard_mill
    | ~ salt_lang
    | ~ mustard_dix ),
    c_0_72 ).

cnf(c_0_83,hypothesis,
    ( ~ salt_barry
    | salt_lang
    | mustard_barry ),
    c_0_73 ).

cnf(c_0_84,hypothesis,
    salt_barry,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_60]) ).

cnf(c_0_85,hypothesis,
    ( ~ salt_dix
    | mustard_dix ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_66]) ).

cnf(c_0_86,hypothesis,
    ( mustard_barry
    | mustard_dix
    | salt_dix ),
    c62 ).

cnf(c_0_87,hypothesis,
    ( ~ salt_mill
    | ~ salt_barry
    | ~ mustard_barry
    | ~ salt_cole ),
    c_0_79 ).

cnf(c_0_88,hypothesis,
    ( ~ mustard_barry
    | ~ salt_barry
    | salt_mill ),
    c_0_80 ).

cnf(c_0_89,hypothesis,
    ( ~ salt_lang
    | ~ mustard_dix ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_49]),c_0_39]),c_0_82]) ).

cnf(c_0_90,hypothesis,
    ( mustard_barry
    | salt_lang ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).

cnf(c_0_91,hypothesis,
    ( mustard_barry
    | mustard_dix ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_92,hypothesis,
    ( ~ mustard_barry
    | ~ salt_cole ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_87,c_0_88]),c_0_47]) ).

cnf(c_0_93,hypothesis,
    mustard_barry,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).

cnf(c_0_94,hypothesis,
    ~ salt_cole,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).

cnf(c_0_95,hypothesis,
    ( mustard_lang
    | mustard_cole ),
    inference(sr,[status(thm)],[c_0_75,c_0_94]) ).

cnf(c_0_96,hypothesis,
    ( ~ mustard_cole
    | mustard_lang
    | salt_dix ),
    inference(fof_simplification,[status(thm)],[c19]) ).

cnf(c_0_97,hypothesis,
    ( ~ mustard_cole
    | salt_lang
    | salt_dix ),
    inference(fof_simplification,[status(thm)],[c20]) ).

cnf(c_0_98,hypothesis,
    ( ~ mustard_dix
    | mustard_mill
    | salt_dix ),
    inference(fof_simplification,[status(thm)],[c25]) ).

cnf(c_0_99,hypothesis,
    ( ~ mustard_dix
    | salt_lang
    | salt_dix ),
    inference(fof_simplification,[status(thm)],[c31]) ).

cnf(c_0_100,hypothesis,
    ( ~ salt_lang
    | mustard_cole ),
    inference(spm,[status(thm)],[c_0_39,c_0_95]) ).

cnf(c_0_101,hypothesis,
    ( ~ salt_dix
    | ~ mustard_barry
    | mustard_mill ),
    inference(fof_simplification,[status(thm)],[c23]) ).

cnf(c_0_102,hypothesis,
    ( ~ mustard_mill
    | mustard_dix
    | salt_dix
    | mustard_cole
    | salt_cole ),
    inference(fof_simplification,[status(thm)],[c50]) ).

cnf(c_0_103,hypothesis,
    ( ~ mustard_cole
    | mustard_lang
    | salt_dix ),
    c_0_96 ).

cnf(c_0_104,hypothesis,
    ( ~ mustard_cole
    | salt_lang
    | salt_dix ),
    c_0_97 ).

cnf(c_0_105,hypothesis,
    ( ~ mustard_dix
    | mustard_mill
    | salt_dix ),
    c_0_98 ).

cnf(c_0_106,hypothesis,
    ( ~ mustard_dix
    | salt_lang
    | salt_dix ),
    c_0_99 ).

cnf(c_0_107,negated_conjecture,
    ( ~ mustard_lang
    | ~ salt_mill
    | ~ salt_barry
    | ~ mustard_barry
    | mustard_mill
    | mustard_dix
    | salt_dix
    | mustard_cole
    | salt_cole
    | salt_lang ),
    inference(fof_simplification,[status(thm)],[prove_who_takes_what]) ).

cnf(c_0_108,hypothesis,
    ( ~ mustard_barry
    | salt_mill ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_84])]) ).

cnf(c_0_109,hypothesis,
    ~ salt_lang,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_100]),c_0_89]) ).

cnf(c_0_110,hypothesis,
    ( ~ salt_dix
    | ~ mustard_barry
    | mustard_mill ),
    c_0_101 ).

cnf(c_0_111,hypothesis,
    ( ~ salt_barry
    | ~ salt_dix
    | salt_cole ),
    inference(fof_simplification,[status(thm)],[c16]) ).

cnf(c_0_112,hypothesis,
    ( ~ mustard_mill
    | mustard_dix
    | salt_dix
    | mustard_cole
    | salt_cole ),
    c_0_102 ).

cnf(c_0_113,hypothesis,
    ( ~ mustard_cole
    | salt_dix ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_103]),c_0_104]) ).

cnf(c_0_114,hypothesis,
    ( ~ mustard_dix
    | salt_dix ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_105]),c_0_106]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ mustard_lang
    | ~ salt_mill
    | ~ salt_barry
    | ~ mustard_barry
    | mustard_mill
    | mustard_dix
    | salt_dix
    | mustard_cole
    | salt_cole
    | salt_lang ),
    c_0_107 ).

cnf(c_0_116,hypothesis,
    salt_mill,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_93])]) ).

cnf(c_0_117,hypothesis,
    ( mustard_lang
    | mustard_dix ),
    inference(sr,[status(thm)],[c_0_56,c_0_109]) ).

cnf(c_0_118,hypothesis,
    ( ~ salt_dix
    | mustard_mill ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_93])]) ).

cnf(c_0_119,hypothesis,
    ( ~ salt_barry
    | ~ salt_dix
    | salt_cole ),
    c_0_111 ).

cnf(c_0_120,hypothesis,
    ( ~ mustard_mill
    | salt_cole
    | salt_dix ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).

cnf(c_0_121,negated_conjecture,
    mustard_mill,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116]),c_0_93]),c_0_84])]),c_0_109]),c_0_94]),c_0_117]),c_0_113]),c_0_114]),c_0_118]) ).

cnf(c_0_122,hypothesis,
    ( ~ salt_dix
    | salt_cole ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_84])]) ).

cnf(c_0_123,hypothesis,
    salt_dix,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),c_0_94]) ).

cnf(c_0_124,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]),c_0_94]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : PUZ030-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/10.45  % Computer : n016.cluster.edu
% 0.18/10.45  % Model    : x86_64 x86_64
% 0.18/10.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.45  % Memory   : 8046.5625MB
% 0.18/10.45  % OS       : Linux 6.8.0-71-generic
% 0.18/10.45  % CPULimit : 300
% 0.18/10.45  % WCLimit  : 300
% 0.18/10.45  % DateTime : Mon Sep 21 03:51:18 UTC 2026
% 0.18/10.46  % CPUTime  : 
% 0.18/10.46  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/10.50  Running first-order theorem proving
% 0.22/10.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/10.52  % Version: 3.5.1
% 0.22/10.52  % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.22/10.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.52  % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.22/10.52  % Starting new_bool_3 with 300s (1) cores
% 0.22/10.52  % Starting new_bool_1 with 300s (1) cores
% 0.22/10.52  % Starting sh5l with 300s (1) cores
% 0.22/10.52  % new_bool_1 with pid 1485075 completed with status 0
% 0.22/10.52  % Result found by new_bool_1
% 0.22/10.52  % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.22/10.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.52  % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.22/10.52  % Starting new_bool_3 with 300s (1) cores
% 0.22/10.52  % Starting new_bool_1 with 300s (1) cores
% 0.22/10.52  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/10.52  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/10.52  % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.22/10.52  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/10.52  % Starting SubtermCWHack with 28s (1) cores
% 0.22/10.52  % SubtermCWHack with pid 1485082 completed with status 0
% 0.22/10.52  % Result found by SubtermCWHack
% 0.22/10.52  % Preprocessing class: FSLSSLSSSSSNFFN.
% 0.22/10.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/10.52  % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 1500s (5) cores
% 0.22/10.52  % Starting new_bool_3 with 300s (1) cores
% 0.22/10.52  % Starting new_bool_1 with 300s (1) cores
% 0.22/10.52  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.22/10.52  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/10.52  % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.22/10.52  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/10.52  % Starting SubtermCWHack with 28s (1) cores
% 0.22/10.52  % Preprocessing time       : 0.001 s
% 0.22/10.52  
% 0.22/10.52  % Proof found!
% 0.22/10.52  % SZS status Unsatisfiable
% 0.22/10.52  % SZS output start CNFRefutation
% See solution above
% 0.22/10.52  % Parsed axioms                        : 63
% 0.22/10.52  % Removed by relevancy pruning/SinE    : 0
% 0.22/10.52  % Initial clauses                      : 63
% 0.22/10.52  % Removed in clause preprocessing      : 0
% 0.22/10.52  % Initial clauses in saturation        : 63
% 0.22/10.52  % Processed clauses                    : 163
% 0.22/10.52  % ...of these trivial                  : 0
% 0.22/10.52  % ...subsumed                          : 46
% 0.22/10.52  % ...remaining for further processing  : 117
% 0.22/10.52  % Other redundant clauses eliminated   : 0
% 0.22/10.52  % Clauses deleted for lack of memory   : 0
% 0.22/10.52  % Backward-subsumed                    : 65
% 0.22/10.52  % Backward-rewritten                   : 36
% 0.22/10.52  % Generated clauses                    : 287
% 0.22/10.52  % ...of the previous two non-redundant : 190
% 0.22/10.52  % ...aggressively subsumed             : 0
% 0.22/10.52  % Contextual simplify-reflections      : 30
% 0.22/10.52  % Paramodulations                      : 285
% 0.22/10.52  % Factorizations                       : 0
% 0.22/10.52  % NegExts                              : 0
% 0.22/10.52  % Equation resolutions                 : 0
% 0.22/10.52  % Disequality decompositions           : 0
% 0.22/10.52  % Total rewrite steps                  : 40
% 0.22/10.52  % ...of those cached                   : 35
% 0.22/10.52  % Propositional unsat checks           : 0
% 0.22/10.52  %    Propositional check models        : 0
% 0.22/10.52  %    Propositional check unsatisfiable : 0
% 0.22/10.52  %    Propositional clauses             : 0
% 0.22/10.52  %    Propositional clauses after purity: 0
% 0.22/10.52  %    Propositional unsat core size     : 0
% 0.22/10.52  %    Propositional preprocessing time  : 0.000
% 0.22/10.52  %    Propositional encoding time       : 0.000
% 0.22/10.52  %    Propositional solver time         : 0.000
% 0.22/10.52  %    Success case prop preproc time    : 0.000
% 0.22/10.52  %    Success case prop encoding time   : 0.000
% 0.22/10.52  %    Success case prop solver time     : 0.000
% 0.22/10.52  % Current number of processed clauses  : 14
% 0.22/10.52  %    Positive orientable unit clauses  : 5
% 0.22/10.52  %    Positive unorientable unit clauses: 0
% 0.22/10.52  %    Negative unit clauses             : 2
% 0.22/10.52  %    Non-unit-clauses                  : 7
% 0.22/10.52  % Current number of unprocessed clauses: 0
% 0.22/10.52  % ...number of literals in the above   : 0
% 0.22/10.52  % Current number of archived formulas  : 0
% 0.22/10.52  % Current number of archived clauses   : 103
% 0.22/10.52  % Clause-clause subsumption calls (NU) : 880
% 0.22/10.52  % Rec. Clause-clause subsumption calls : 593
% 0.22/10.52  % Non-unit clause-clause subsumptions  : 120
% 0.22/10.52  % Unit Clause-clause subsumption calls : 59
% 0.22/10.52  % Rewrite failures with RHS unbound    : 0
% 0.22/10.52  % BW rewrite match attempts            : 5
% 0.22/10.52  % BW rewrite match successes           : 5
% 0.22/10.52  % Condensation attempts                : 0
% 0.22/10.52  % Condensation successes               : 0
% 0.22/10.52  % Termbank termtop insertions          : 3686
% 0.22/10.52  % Search garbage collected termcells   : 100
% 0.22/10.52  
% 0.22/10.52  % -------------------------------------------------
% 0.22/10.52  % User time                : 0.006 s
% 0.22/10.52  % System time              : 0.002 s
% 0.22/10.52  % Total time               : 0.007 s
% 0.22/10.52  % Maximum resident set size: 3656 pages
% 0.22/10.52  
% 0.22/10.52  % -------------------------------------------------
% 0.22/10.52  % User time                : 0.006 s
% 0.22/10.52  % System time              : 0.005 s
% 0.22/10.52  % Total time               : 0.011 s
% 0.22/10.52  % Maximum resident set size: 4608 pages
% 0.22/10.52  % E exiting
%------------------------------------------------------------------------------