TSTP Solution File: PUZ030-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:12:13 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 52
% Syntax : Number of formulae : 176 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 405 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 456 ( 217 ~; 239 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 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; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
both: $i > $o ).
tff(decl_23,type,
salt: $i > $o ).
tff(decl_24,type,
mustard: $i > $o ).
tff(decl_25,type,
oneof: $i > $o ).
tff(decl_26,type,
neither: $i > $o ).
tff(decl_27,type,
barry: $i ).
tff(decl_28,type,
cole: $i ).
tff(decl_29,type,
lang: $i ).
tff(decl_30,type,
dix: $i ).
tff(decl_31,type,
mill: $i ).
cnf(rule5_3,hypothesis,
( salt(dix)
| ~ both(cole) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5_3) ).
cnf(one_condition_holds1,axiom,
( both(X1)
| neither(X1)
| oneof(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_condition_holds1) ).
cnf(neither2,axiom,
( ~ neither(X1)
| ~ salt(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neither2) ).
cnf(rule7_3,hypothesis,
( salt(lang)
| ~ oneof(dix) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7_3) ).
cnf(rule4_2,hypothesis,
( mustard(cole)
| ~ both(dix) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4_2) ).
cnf(rule1_2,hypothesis,
( salt(barry)
| ~ oneof(cole) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1_2) ).
cnf(oneof4,axiom,
( ~ oneof(X1)
| ~ salt(X1)
| ~ mustard(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneof4) ).
cnf(rule3_2,hypothesis,
( salt(cole)
| ~ oneof(barry) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3_2) ).
cnf(oneof2,axiom,
( ~ oneof(X1)
| ~ both(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneof2) ).
cnf(rule5_1,hypothesis,
( neither(barry)
| both(cole)
| ~ salt(dix) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5_1) ).
cnf(both1,axiom,
( salt(X1)
| ~ both(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both1) ).
cnf(both2,axiom,
( mustard(X1)
| ~ both(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both2) ).
cnf(rule9_1,hypothesis,
( both(barry)
| both(lang)
| ~ salt(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9_1) ).
cnf(rule2_3,hypothesis,
( mustard(barry)
| ~ both(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2_3) ).
cnf(both3,axiom,
( both(X1)
| ~ salt(X1)
| ~ mustard(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',both3) ).
cnf(rule10_2,hypothesis,
( mustard(mill)
| ~ oneof(cole) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule10_2) ).
cnf(rule2_1,hypothesis,
( neither(dix)
| both(mill)
| ~ mustard(barry) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2_1) ).
cnf(rule9_2,hypothesis,
( salt(mill)
| ~ both(barry) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9_2) ).
cnf(rule7_1,hypothesis,
( oneof(barry)
| oneof(dix)
| ~ salt(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7_1) ).
cnf(oneof1,axiom,
( salt(X1)
| mustard(X1)
| ~ oneof(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneof1) ).
cnf(rule2_2,hypothesis,
( mustard(barry)
| ~ neither(dix) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule2_2) ).
cnf(neither3,axiom,
( ~ neither(X1)
| ~ mustard(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neither3) ).
cnf(rule6_2,hypothesis,
( mustard(dix)
| ~ neither(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule6_2) ).
cnf(neither1,axiom,
( ~ both(X1)
| ~ neither(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neither1) ).
cnf(rule4_1,hypothesis,
( both(dix)
| both(lang)
| ~ mustard(cole) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4_1) ).
cnf(rule9_3,hypothesis,
( mustard(mill)
| ~ both(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule9_3) ).
cnf(rule7_2,hypothesis,
( salt(lang)
| ~ oneof(barry) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule7_2) ).
cnf(rule1_3,hypothesis,
( salt(barry)
| ~ oneof(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule1_3) ).
cnf(oneof3,axiom,
( ~ oneof(X1)
| ~ neither(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneof3) ).
cnf(rule4_3,hypothesis,
( mustard(cole)
| ~ both(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule4_3) ).
cnf(rule10_1,hypothesis,
( oneof(cole)
| oneof(dix)
| ~ mustard(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule10_1) ).
cnf(neither4,axiom,
( salt(X1)
| mustard(X1)
| neither(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',neither4) ).
cnf(rule8_2,hypothesis,
( mustard(lang)
| ~ neither(cole) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8_2) ).
cnf(rule8_3,hypothesis,
( mustard(lang)
| ~ neither(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8_3) ).
cnf(rule8_1,hypothesis,
( neither(cole)
| neither(mill)
| ~ mustard(lang) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule8_1) ).
cnf(rule5_2,hypothesis,
( salt(dix)
| ~ neither(barry) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule5_2) ).
cnf(rule6_1,hypothesis,
( neither(lang)
| neither(mill)
| ~ mustard(dix) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule6_1) ).
cnf(rule6_3,hypothesis,
( mustard(dix)
| ~ neither(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.p',prove_who_takes_what) ).
cnf(rule3_1,hypothesis,
( oneof(barry)
| neither(mill)
| ~ salt(cole) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3_1) ).
cnf(rule3_3,hypothesis,
( salt(cole)
| ~ neither(mill) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule3_3) ).
cnf(rule10_3,hypothesis,
( mustard(mill)
| ~ oneof(dix) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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
% 0.08/0.12 % Problem : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.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 : 300
% 0.13/0.34 % DateTime : Sat Aug 26 21:44:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.63 % Total time : 0.027000 s
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time : 0.030000 s
%------------------------------------------------------------------------------