%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ030-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:02:42 PM UTC 2026
% Result : Unsatisfiable 1.28s 1.73s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 36
% Syntax : Number of clauses : 139 ( 9 unt; 50 nHn; 133 RR)
% Number of literals : 341 ( 0 equ; 165 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 : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule9_1,hypothesis,
( both(barry)
| both(lang)
| ~ salt(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_1) ).
cnf(neither4,axiom,
( salt(X1)
| mustard(X1)
| neither(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither4) ).
cnf(rule9_3,hypothesis,
( mustard(mill)
| ~ both(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_3) ).
cnf(oneof4,axiom,
( ~ oneof(X1)
| ~ salt(X1)
| ~ mustard(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof4) ).
cnf(rule7_2,hypothesis,
( salt(lang)
| ~ oneof(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_2) ).
cnf(both2,axiom,
( mustard(X1)
| ~ both(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both2) ).
cnf(one_condition_holds1,axiom,
( both(X1)
| neither(X1)
| oneof(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_condition_holds1) ).
cnf(neither2,axiom,
( ~ neither(X1)
| ~ salt(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither2) ).
cnf(rule1_3,hypothesis,
( salt(barry)
| ~ oneof(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_3) ).
cnf(rule8_3,hypothesis,
( mustard(lang)
| ~ neither(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_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/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).
cnf(rule9_2,hypothesis,
( salt(mill)
| ~ both(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_2) ).
cnf(rule8_2,hypothesis,
( mustard(lang)
| ~ neither(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_2) ).
cnf(both3,axiom,
( both(X1)
| ~ salt(X1)
| ~ mustard(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both3) ).
cnf(rule2_2,hypothesis,
( mustard(barry)
| ~ neither(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_2) ).
cnf(rule3_3,hypothesis,
( salt(cole)
| ~ neither(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_3) ).
cnf(rule5_3,hypothesis,
( salt(dix)
| ~ both(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_3) ).
cnf(neither3,axiom,
( ~ neither(X1)
| ~ mustard(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither3) ).
cnf(rule2_1,hypothesis,
( neither(dix)
| both(mill)
| ~ mustard(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_1) ).
cnf(rule10_2,hypothesis,
( mustard(mill)
| ~ oneof(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_2) ).
cnf(rule4_2,hypothesis,
( mustard(cole)
| ~ both(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_2) ).
cnf(rule10_3,hypothesis,
( mustard(mill)
| ~ oneof(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_3) ).
cnf(rule7_3,hypothesis,
( salt(lang)
| ~ oneof(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_3) ).
cnf(rule10_1,hypothesis,
( oneof(cole)
| oneof(dix)
| ~ mustard(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_1) ).
cnf(both1,axiom,
( salt(X1)
| ~ both(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both1) ).
cnf(oneof3,axiom,
( ~ oneof(X1)
| ~ neither(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof3) ).
cnf(rule4_3,hypothesis,
( mustard(cole)
| ~ both(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_3) ).
cnf(rule3_1,hypothesis,
( oneof(barry)
| neither(mill)
| ~ salt(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_1) ).
cnf(rule1_2,hypothesis,
( salt(barry)
| ~ oneof(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_2) ).
cnf(rule5_1,hypothesis,
( neither(barry)
| both(cole)
| ~ salt(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_1) ).
cnf(oneof2,axiom,
( ~ oneof(X1)
| ~ both(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof2) ).
cnf(rule6_2,hypothesis,
( mustard(dix)
| ~ neither(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_2) ).
cnf(rule6_1,hypothesis,
( neither(lang)
| neither(mill)
| ~ mustard(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_1) ).
cnf(rule4_1,hypothesis,
( both(dix)
| both(lang)
| ~ mustard(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_1) ).
cnf(neither1,axiom,
( ~ both(X1)
| ~ neither(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither1) ).
cnf(rule8_1,hypothesis,
( neither(cole)
| neither(mill)
| ~ mustard(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_1) ).
cnf(c_0_36,hypothesis,
( both(barry)
| both(lang)
| ~ salt(mill) ),
rule9_1 ).
cnf(c_0_37,axiom,
( salt(X1)
| mustard(X1)
| neither(X1) ),
neither4 ).
cnf(c_0_38,hypothesis,
( mustard(mill)
| ~ both(lang) ),
rule9_3 ).
cnf(c_0_39,axiom,
( ~ oneof(X1)
| ~ salt(X1)
| ~ mustard(X1) ),
oneof4 ).
cnf(c_0_40,hypothesis,
( salt(lang)
| ~ oneof(barry) ),
rule7_2 ).
cnf(c_0_41,axiom,
( mustard(X1)
| ~ both(X1) ),
both2 ).
cnf(c_0_42,axiom,
( both(X1)
| neither(X1)
| oneof(X1) ),
one_condition_holds1 ).
cnf(c_0_43,axiom,
( ~ neither(X1)
| ~ salt(X1) ),
neither2 ).
cnf(c_0_44,hypothesis,
( salt(barry)
| ~ oneof(lang) ),
rule1_3 ).
cnf(c_0_45,hypothesis,
( neither(mill)
| mustard(mill)
| both(barry) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_46,hypothesis,
( ~ oneof(lang)
| ~ oneof(barry)
| ~ mustard(lang) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( neither(X1)
| oneof(X1)
| mustard(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,hypothesis,
( ~ neither(barry)
| ~ oneof(lang) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,hypothesis,
( mustard(lang)
| ~ neither(mill) ),
rule8_3 ).
cnf(c_0_50,hypothesis,
( neither(mill)
| mustard(mill)
| mustard(barry) ),
inference(spm,[status(thm)],[c_0_41,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( ~ neither(cole)
| ~ neither(dix)
| ~ both(barry)
| ~ oneof(lang)
| ~ salt(mill)
| ~ mustard(lang)
| ~ oneof(mill) ),
prove_who_takes_what ).
cnf(c_0_52,hypothesis,
( salt(mill)
| ~ both(barry) ),
rule9_2 ).
cnf(c_0_53,hypothesis,
( mustard(lang)
| ~ neither(cole) ),
rule8_2 ).
cnf(c_0_54,hypothesis,
( mustard(barry)
| ~ oneof(lang)
| ~ mustard(lang) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_55,hypothesis,
( neither(lang)
| oneof(lang)
| mustard(mill) ),
inference(spm,[status(thm)],[c_0_38,c_0_42]) ).
cnf(c_0_56,hypothesis,
( mustard(barry)
| mustard(mill)
| mustard(lang) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
( ~ neither(cole)
| ~ neither(dix)
| ~ oneof(lang)
| ~ oneof(mill)
| ~ both(barry) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_58,axiom,
( both(X1)
| ~ salt(X1)
| ~ mustard(X1) ),
both3 ).
cnf(c_0_59,hypothesis,
( mustard(barry)
| ~ neither(dix) ),
rule2_2 ).
cnf(c_0_60,hypothesis,
( salt(cole)
| ~ neither(mill) ),
rule3_3 ).
cnf(c_0_61,hypothesis,
( salt(dix)
| ~ both(cole) ),
rule5_3 ).
cnf(c_0_62,axiom,
( ~ neither(X1)
| ~ mustard(X1) ),
neither3 ).
cnf(c_0_63,hypothesis,
( neither(lang)
| mustard(mill)
| mustard(barry) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( ~ neither(cole)
| ~ neither(dix)
| ~ oneof(lang)
| ~ oneof(mill) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_44]),c_0_59]) ).
cnf(c_0_65,hypothesis,
( ~ neither(cole)
| ~ neither(mill) ),
inference(spm,[status(thm)],[c_0_43,c_0_60]) ).
cnf(c_0_66,hypothesis,
( neither(cole)
| oneof(cole)
| salt(dix) ),
inference(spm,[status(thm)],[c_0_61,c_0_42]) ).
cnf(c_0_67,hypothesis,
( neither(dix)
| both(mill)
| ~ mustard(barry) ),
rule2_1 ).
cnf(c_0_68,hypothesis,
( mustard(barry)
| mustard(mill) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_56]) ).
cnf(c_0_69,negated_conjecture,
( mustard(mill)
| ~ neither(cole)
| ~ neither(dix)
| ~ oneof(lang) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_47]),c_0_65]) ).
cnf(c_0_70,hypothesis,
( neither(cole)
| oneof(cole)
| ~ neither(dix) ),
inference(spm,[status(thm)],[c_0_43,c_0_66]) ).
cnf(c_0_71,hypothesis,
( neither(dix)
| mustard(mill) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_41]) ).
cnf(c_0_72,hypothesis,
( mustard(mill)
| ~ oneof(cole) ),
rule10_2 ).
cnf(c_0_73,hypothesis,
( mustard(cole)
| ~ both(dix) ),
rule4_2 ).
cnf(c_0_74,hypothesis,
( neither(lang)
| mustard(mill)
| ~ neither(cole)
| ~ neither(dix) ),
inference(spm,[status(thm)],[c_0_69,c_0_55]) ).
cnf(c_0_75,hypothesis,
( neither(cole)
| mustard(mill) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_76,hypothesis,
( mustard(mill)
| ~ oneof(dix) ),
rule10_3 ).
cnf(c_0_77,hypothesis,
( neither(dix)
| oneof(dix)
| mustard(cole) ),
inference(spm,[status(thm)],[c_0_73,c_0_42]) ).
cnf(c_0_78,hypothesis,
( neither(lang)
| mustard(mill) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_71]) ).
cnf(c_0_79,hypothesis,
( mustard(mill)
| mustard(lang) ),
inference(spm,[status(thm)],[c_0_53,c_0_75]) ).
cnf(c_0_80,hypothesis,
( salt(dix)
| ~ mustard(cole)
| ~ salt(cole) ),
inference(spm,[status(thm)],[c_0_61,c_0_58]) ).
cnf(c_0_81,hypothesis,
( neither(dix)
| mustard(cole)
| mustard(mill) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,hypothesis,
( salt(lang)
| ~ oneof(dix) ),
rule7_3 ).
cnf(c_0_83,hypothesis,
( oneof(cole)
| oneof(dix)
| ~ mustard(mill) ),
rule10_1 ).
cnf(c_0_84,hypothesis,
mustard(mill),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_78]),c_0_79]) ).
cnf(c_0_85,hypothesis,
( ~ neither(dix)
| ~ mustard(cole)
| ~ salt(cole) ),
inference(spm,[status(thm)],[c_0_43,c_0_80]) ).
cnf(c_0_86,hypothesis,
( neither(cole)
| mustard(mill)
| mustard(cole) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_81]),c_0_72]) ).
cnf(c_0_87,hypothesis,
( ~ oneof(lang)
| ~ oneof(dix)
| ~ mustard(lang) ),
inference(spm,[status(thm)],[c_0_39,c_0_82]) ).
cnf(c_0_88,hypothesis,
( oneof(dix)
| oneof(cole) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_89,hypothesis,
( ~ neither(lang)
| ~ oneof(dix) ),
inference(spm,[status(thm)],[c_0_43,c_0_82]) ).
cnf(c_0_90,axiom,
( salt(X1)
| ~ both(X1) ),
both1 ).
cnf(c_0_91,hypothesis,
( ~ neither(dix)
| ~ neither(mill)
| ~ mustard(cole) ),
inference(spm,[status(thm)],[c_0_85,c_0_60]) ).
cnf(c_0_92,hypothesis,
( mustard(cole)
| ~ neither(mill) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_86]),c_0_62]) ).
cnf(c_0_93,axiom,
( ~ oneof(X1)
| ~ neither(X1) ),
oneof3 ).
cnf(c_0_94,hypothesis,
( oneof(cole)
| ~ oneof(lang)
| ~ mustard(lang) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,hypothesis,
( mustard(cole)
| ~ both(lang) ),
rule4_3 ).
cnf(c_0_96,hypothesis,
( oneof(cole)
| ~ neither(lang) ),
inference(spm,[status(thm)],[c_0_89,c_0_88]) ).
cnf(c_0_97,hypothesis,
( oneof(barry)
| neither(mill)
| ~ salt(cole) ),
rule3_1 ).
cnf(c_0_98,plain,
( neither(X1)
| oneof(X1)
| salt(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_42]) ).
cnf(c_0_99,hypothesis,
~ neither(mill),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_71]),c_0_92]),c_0_62]) ).
cnf(c_0_100,hypothesis,
( ~ neither(cole)
| ~ oneof(lang) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_53]) ).
cnf(c_0_101,hypothesis,
( neither(lang)
| oneof(lang)
| mustard(cole) ),
inference(spm,[status(thm)],[c_0_95,c_0_42]) ).
cnf(c_0_102,hypothesis,
( ~ neither(cole)
| ~ neither(lang) ),
inference(spm,[status(thm)],[c_0_93,c_0_96]) ).
cnf(c_0_103,hypothesis,
( salt(barry)
| ~ oneof(cole) ),
rule1_2 ).
cnf(c_0_104,hypothesis,
( neither(cole)
| oneof(cole)
| oneof(barry) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_105,hypothesis,
~ neither(cole),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_62]),c_0_102]) ).
cnf(c_0_106,hypothesis,
( neither(barry)
| both(cole)
| ~ salt(dix) ),
rule5_1 ).
cnf(c_0_107,hypothesis,
( ~ neither(barry)
| ~ oneof(cole) ),
inference(spm,[status(thm)],[c_0_43,c_0_103]) ).
cnf(c_0_108,hypothesis,
( oneof(barry)
| oneof(cole) ),
inference(sr,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,hypothesis,
( neither(dix)
| neither(barry)
| oneof(dix)
| both(cole) ),
inference(spm,[status(thm)],[c_0_106,c_0_98]) ).
cnf(c_0_110,hypothesis,
~ neither(barry),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_93]) ).
cnf(c_0_111,hypothesis,
( ~ oneof(barry)
| ~ oneof(cole)
| ~ mustard(barry) ),
inference(spm,[status(thm)],[c_0_39,c_0_103]) ).
cnf(c_0_112,hypothesis,
( oneof(cole)
| ~ neither(dix) ),
inference(spm,[status(thm)],[c_0_93,c_0_88]) ).
cnf(c_0_113,axiom,
( ~ oneof(X1)
| ~ both(X1) ),
oneof2 ).
cnf(c_0_114,hypothesis,
( neither(dix)
| oneof(dix)
| both(cole) ),
inference(sr,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,hypothesis,
( neither(dix)
| neither(barry)
| mustard(dix)
| both(cole) ),
inference(spm,[status(thm)],[c_0_106,c_0_37]) ).
cnf(c_0_116,hypothesis,
( ~ neither(dix)
| ~ oneof(barry) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_59]) ).
cnf(c_0_117,hypothesis,
( neither(cole)
| oneof(barry)
| mustard(cole) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_37]),c_0_92]) ).
cnf(c_0_118,hypothesis,
( ~ neither(cole)
| ~ neither(dix) ),
inference(spm,[status(thm)],[c_0_93,c_0_112]) ).
cnf(c_0_119,hypothesis,
( neither(dix)
| oneof(dix) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_88]) ).
cnf(c_0_120,hypothesis,
( neither(dix)
| mustard(dix)
| ~ oneof(cole) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_115]),c_0_107]) ).
cnf(c_0_121,hypothesis,
( mustard(cole)
| ~ neither(dix) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).
cnf(c_0_122,hypothesis,
( neither(dix)
| ~ neither(lang) ),
inference(spm,[status(thm)],[c_0_89,c_0_119]) ).
cnf(c_0_123,hypothesis,
( mustard(dix)
| ~ neither(lang) ),
rule6_2 ).
cnf(c_0_124,hypothesis,
( neither(lang)
| neither(mill)
| ~ mustard(dix) ),
rule6_1 ).
cnf(c_0_125,hypothesis,
( mustard(cole)
| mustard(dix) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_47]),c_0_105]),c_0_121]) ).
cnf(c_0_126,hypothesis,
~ neither(lang),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_122]),c_0_123]) ).
cnf(c_0_127,hypothesis,
( both(dix)
| both(lang)
| ~ mustard(cole) ),
rule4_1 ).
cnf(c_0_128,hypothesis,
mustard(cole),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_99]) ).
cnf(c_0_129,hypothesis,
( both(dix)
| both(lang) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).
cnf(c_0_130,axiom,
( ~ both(X1)
| ~ neither(X1) ),
neither1 ).
cnf(c_0_131,hypothesis,
( both(lang)
| ~ oneof(dix) ),
inference(spm,[status(thm)],[c_0_113,c_0_129]) ).
cnf(c_0_132,hypothesis,
( both(lang)
| ~ neither(dix) ),
inference(spm,[status(thm)],[c_0_130,c_0_129]) ).
cnf(c_0_133,hypothesis,
( ~ oneof(lang)
| ~ oneof(dix) ),
inference(spm,[status(thm)],[c_0_113,c_0_131]) ).
cnf(c_0_134,hypothesis,
( ~ neither(dix)
| ~ oneof(lang) ),
inference(spm,[status(thm)],[c_0_113,c_0_132]) ).
cnf(c_0_135,hypothesis,
~ oneof(lang),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_119]),c_0_134]) ).
cnf(c_0_136,hypothesis,
( neither(cole)
| neither(mill)
| ~ mustard(lang) ),
rule8_1 ).
cnf(c_0_137,hypothesis,
mustard(lang),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_47]),c_0_126]) ).
cnf(c_0_138,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]),c_0_105]),c_0_99]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ030-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n005.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:33:00 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.28/1.73 % Version : CSE_E---1.7
% 1.28/1.73 % Problem : theBenchmark.p
% 1.28/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.73 % SZS output start CNFRefutation
% See solution above
% 1.28/1.73 % Total time : 1.368s
%------------------------------------------------------------------------------