TSTP Solution File: PUZ030-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:20:50 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 36
% Syntax : Number of clauses : 207 ( 15 unt; 131 nHn; 205 RR)
% Number of literals : 612 ( 0 equ; 158 neg)
% Maximal clause size : 9 ( 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 : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(both1,axiom,
( ~ both(X)
| salt(X) ) ).
cnf(both2,axiom,
( ~ both(X)
| mustard(X) ) ).
cnf(both3,axiom,
( ~ salt(X)
| ~ mustard(X)
| both(X) ) ).
cnf(oneof2,axiom,
( ~ oneof(X)
| ~ both(X) ) ).
cnf(oneof3,axiom,
( ~ oneof(X)
| ~ neither(X) ) ).
cnf(one_condition_holds1,axiom,
( both(X)
| neither(X)
| oneof(X) ) ).
cnf(oneof4,axiom,
( ~ oneof(X)
| ~ salt(X)
| ~ mustard(X) ) ).
cnf(neither2,axiom,
( ~ neither(X)
| ~ salt(X) ) ).
cnf(neither3,axiom,
( ~ neither(X)
| ~ mustard(X) ) ).
cnf(neither4,axiom,
( salt(X)
| mustard(X)
| neither(X) ) ).
cnf(rule1_1,hypothesis,
( ~ salt(barry)
| oneof(cole)
| oneof(lang) ) ).
cnf(rule1_2,hypothesis,
( ~ oneof(cole)
| salt(barry) ) ).
cnf(rule1_3,hypothesis,
( ~ oneof(lang)
| salt(barry) ) ).
cnf(rule2_2,hypothesis,
( ~ neither(dix)
| mustard(barry) ) ).
cnf(rule3_1,hypothesis,
( ~ salt(cole)
| oneof(barry)
| neither(mill) ) ).
cnf(rule3_2,hypothesis,
( ~ oneof(barry)
| salt(cole) ) ).
cnf(rule3_3,hypothesis,
( ~ neither(mill)
| salt(cole) ) ).
cnf(rule4_1,hypothesis,
( ~ mustard(cole)
| both(dix)
| both(lang) ) ).
cnf(rule4_3,hypothesis,
( ~ both(lang)
| mustard(cole) ) ).
cnf(rule5_1,hypothesis,
( ~ salt(dix)
| neither(barry)
| both(cole) ) ).
cnf(rule5_3,hypothesis,
( ~ both(cole)
| salt(dix) ) ).
cnf(rule6_1,hypothesis,
( ~ mustard(dix)
| neither(lang)
| neither(mill) ) ).
cnf(rule6_2,hypothesis,
( ~ neither(lang)
| mustard(dix) ) ).
cnf(rule7_1,hypothesis,
( ~ salt(lang)
| oneof(barry)
| oneof(dix) ) ).
cnf(rule7_2,hypothesis,
( ~ oneof(barry)
| salt(lang) ) ).
cnf(rule7_3,hypothesis,
( ~ oneof(dix)
| salt(lang) ) ).
cnf(rule8_1,hypothesis,
( ~ mustard(lang)
| neither(cole)
| neither(mill) ) ).
cnf(rule8_2,hypothesis,
( ~ neither(cole)
| mustard(lang) ) ).
cnf(rule8_3,hypothesis,
( ~ neither(mill)
| mustard(lang) ) ).
cnf(rule9_1,hypothesis,
( ~ salt(mill)
| both(barry)
| both(lang) ) ).
cnf(rule9_2,hypothesis,
( ~ both(barry)
| salt(mill) ) ).
cnf(rule9_3,hypothesis,
( ~ both(lang)
| mustard(mill) ) ).
cnf(rule10_1,hypothesis,
( ~ mustard(mill)
| oneof(cole)
| oneof(dix) ) ).
cnf(rule10_2,hypothesis,
( ~ oneof(cole)
| mustard(mill) ) ).
cnf(rule10_3,hypothesis,
( ~ oneof(dix)
| mustard(mill) ) ).
cnf(prove_who_takes_what,negated_conjecture,
( ~ neither(cole)
| ~ neither(dix)
| ~ both(barry)
| ~ oneof(lang)
| ~ salt(mill)
| ~ mustard(lang)
| ~ oneof(mill) ) ).
cnf(refute_0_0,plain,
( ~ both(dix)
| salt(dix) ),
inference(subst,[],[both1:[bind(X,$fot(dix))]]) ).
cnf(refute_0_1,plain,
( ~ neither(cole)
| ~ oneof(cole) ),
inference(subst,[],[oneof3:[bind(X,$fot(cole))]]) ).
cnf(refute_0_2,plain,
( ~ both(lang)
| ~ oneof(lang) ),
inference(subst,[],[oneof2:[bind(X,$fot(lang))]]) ).
cnf(refute_0_3,plain,
( ~ both(barry)
| salt(barry) ),
inference(subst,[],[both1:[bind(X,$fot(barry))]]) ).
cnf(refute_0_4,plain,
( ~ neither(lang)
| ~ salt(lang) ),
inference(subst,[],[neither2:[bind(X,$fot(lang))]]) ).
cnf(refute_0_5,plain,
( ~ both(cole)
| salt(cole) ),
inference(subst,[],[both1:[bind(X,$fot(cole))]]) ).
cnf(refute_0_6,plain,
( both(cole)
| neither(cole)
| oneof(cole) ),
inference(subst,[],[one_condition_holds1:[bind(X,$fot(cole))]]) ).
cnf(refute_0_7,plain,
( both(cole)
| mustard(mill)
| neither(cole) ),
inference(resolve,[$cnf( oneof(cole) )],[refute_0_6,rule10_2]) ).
cnf(refute_0_8,plain,
( ~ neither(cole)
| ~ salt(cole) ),
inference(subst,[],[neither2:[bind(X,$fot(cole))]]) ).
cnf(refute_0_9,plain,
( mustard(mill)
| neither(mill)
| salt(mill) ),
inference(subst,[],[neither4:[bind(X,$fot(mill))]]) ).
cnf(refute_0_10,plain,
( both(barry)
| both(lang)
| mustard(mill)
| neither(mill) ),
inference(resolve,[$cnf( salt(mill) )],[refute_0_9,rule9_1]) ).
cnf(refute_0_11,plain,
( both(barry)
| both(lang)
| mustard(mill)
| salt(cole) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_10,rule3_3]) ).
cnf(refute_0_12,plain,
( ~ neither(cole)
| both(barry)
| both(lang)
| mustard(mill) ),
inference(resolve,[$cnf( salt(cole) )],[refute_0_11,refute_0_8]) ).
cnf(refute_0_13,plain,
( both(barry)
| both(cole)
| both(lang)
| mustard(mill) ),
inference(resolve,[$cnf( neither(cole) )],[refute_0_7,refute_0_12]) ).
cnf(refute_0_14,plain,
( both(barry)
| both(cole)
| both(lang)
| oneof(cole)
| oneof(dix) ),
inference(resolve,[$cnf( mustard(mill) )],[refute_0_13,rule10_1]) ).
cnf(refute_0_15,plain,
( both(barry)
| both(cole)
| both(lang)
| oneof(cole)
| salt(lang) ),
inference(resolve,[$cnf( oneof(dix) )],[refute_0_14,rule7_3]) ).
cnf(refute_0_16,plain,
( ~ neither(lang)
| both(barry)
| both(cole)
| both(lang)
| oneof(cole) ),
inference(resolve,[$cnf( salt(lang) )],[refute_0_15,refute_0_4]) ).
cnf(refute_0_17,plain,
( ~ mustard(barry)
| ~ salt(barry)
| both(barry) ),
inference(subst,[],[both3:[bind(X,$fot(barry))]]) ).
cnf(refute_0_18,plain,
( both(lang)
| neither(lang)
| oneof(lang) ),
inference(subst,[],[one_condition_holds1:[bind(X,$fot(lang))]]) ).
cnf(refute_0_19,plain,
( both(lang)
| neither(lang)
| salt(barry) ),
inference(resolve,[$cnf( oneof(lang) )],[refute_0_18,rule1_3]) ).
cnf(refute_0_20,plain,
( ~ mustard(barry)
| both(barry)
| both(lang)
| neither(lang) ),
inference(resolve,[$cnf( salt(barry) )],[refute_0_19,refute_0_17]) ).
cnf(refute_0_21,plain,
( ~ neither(barry)
| ~ salt(barry) ),
inference(subst,[],[neither2:[bind(X,$fot(barry))]]) ).
cnf(refute_0_22,plain,
( both(cole)
| neither(cole)
| salt(barry) ),
inference(resolve,[$cnf( oneof(cole) )],[refute_0_6,rule1_2]) ).
cnf(refute_0_23,plain,
( ~ neither(barry)
| both(cole)
| neither(cole) ),
inference(resolve,[$cnf( salt(barry) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
( both(barry)
| neither(barry)
| oneof(barry) ),
inference(subst,[],[one_condition_holds1:[bind(X,$fot(barry))]]) ).
cnf(refute_0_25,plain,
( both(barry)
| neither(barry)
| salt(lang) ),
inference(resolve,[$cnf( oneof(barry) )],[refute_0_24,rule7_2]) ).
cnf(refute_0_26,plain,
( ~ neither(lang)
| both(barry)
| neither(barry) ),
inference(resolve,[$cnf( salt(lang) )],[refute_0_25,refute_0_4]) ).
cnf(refute_0_27,plain,
( ~ mustard(mill)
| ~ neither(mill) ),
inference(subst,[],[neither3:[bind(X,$fot(mill))]]) ).
cnf(refute_0_28,plain,
( ~ neither(barry)
| both(lang)
| neither(lang) ),
inference(resolve,[$cnf( salt(barry) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_29,plain,
( mustard(dix)
| neither(dix)
| salt(dix) ),
inference(subst,[],[neither4:[bind(X,$fot(dix))]]) ).
cnf(refute_0_30,plain,
( both(cole)
| mustard(dix)
| neither(barry)
| neither(dix) ),
inference(resolve,[$cnf( salt(dix) )],[refute_0_29,rule5_1]) ).
cnf(refute_0_31,plain,
( both(cole)
| mustard(barry)
| mustard(dix)
| neither(barry) ),
inference(resolve,[$cnf( neither(dix) )],[refute_0_30,rule2_2]) ).
cnf(refute_0_32,plain,
( both(cole)
| both(lang)
| mustard(barry)
| mustard(dix)
| neither(lang) ),
inference(resolve,[$cnf( neither(barry) )],[refute_0_31,refute_0_28]) ).
cnf(refute_0_33,plain,
( both(cole)
| both(lang)
| mustard(barry)
| mustard(dix) ),
inference(resolve,[$cnf( neither(lang) )],[refute_0_32,rule6_2]) ).
cnf(refute_0_34,plain,
( both(cole)
| both(lang)
| mustard(barry)
| neither(lang)
| neither(mill) ),
inference(resolve,[$cnf( mustard(dix) )],[refute_0_33,rule6_1]) ).
cnf(refute_0_35,plain,
( ~ mustard(mill)
| both(cole)
| both(lang)
| mustard(barry)
| neither(lang) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_34,refute_0_27]) ).
cnf(refute_0_36,plain,
( both(barry)
| both(cole)
| both(lang)
| mustard(barry)
| neither(lang) ),
inference(resolve,[$cnf( mustard(mill) )],[refute_0_13,refute_0_35]) ).
cnf(refute_0_37,plain,
( both(barry)
| both(cole)
| both(lang)
| mustard(barry)
| neither(barry) ),
inference(resolve,[$cnf( neither(lang) )],[refute_0_36,refute_0_26]) ).
cnf(refute_0_38,plain,
( both(barry)
| both(cole)
| both(lang)
| mustard(barry)
| neither(cole) ),
inference(resolve,[$cnf( neither(barry) )],[refute_0_37,refute_0_23]) ).
cnf(refute_0_39,plain,
( both(barry)
| both(cole)
| both(lang)
| mustard(barry)
| oneof(cole) ),
inference(resolve,[$cnf( neither(lang) )],[refute_0_36,refute_0_16]) ).
cnf(refute_0_40,plain,
( ~ neither(cole)
| both(barry)
| both(cole)
| both(lang)
| mustard(barry) ),
inference(resolve,[$cnf( oneof(cole) )],[refute_0_39,refute_0_1]) ).
cnf(refute_0_41,plain,
( both(barry)
| both(cole)
| both(lang)
| mustard(barry) ),
inference(resolve,[$cnf( neither(cole) )],[refute_0_38,refute_0_40]) ).
cnf(refute_0_42,plain,
( both(barry)
| both(cole)
| both(lang)
| neither(lang) ),
inference(resolve,[$cnf( mustard(barry) )],[refute_0_41,refute_0_20]) ).
cnf(refute_0_43,plain,
( both(barry)
| both(cole)
| both(lang)
| oneof(cole) ),
inference(resolve,[$cnf( neither(lang) )],[refute_0_42,refute_0_16]) ).
cnf(refute_0_44,plain,
( ~ neither(cole)
| both(barry)
| both(cole)
| both(lang) ),
inference(resolve,[$cnf( oneof(cole) )],[refute_0_43,refute_0_1]) ).
cnf(refute_0_45,plain,
( ~ mustard(barry)
| both(barry)
| both(cole)
| neither(cole) ),
inference(resolve,[$cnf( salt(barry) )],[refute_0_22,refute_0_17]) ).
cnf(refute_0_46,plain,
( both(barry)
| both(cole)
| both(lang)
| neither(cole) ),
inference(resolve,[$cnf( mustard(barry) )],[refute_0_41,refute_0_45]) ).
cnf(refute_0_47,plain,
( both(barry)
| both(cole)
| both(lang) ),
inference(resolve,[$cnf( neither(cole) )],[refute_0_46,refute_0_44]) ).
cnf(refute_0_48,plain,
( both(barry)
| both(cole)
| mustard(cole) ),
inference(resolve,[$cnf( both(lang) )],[refute_0_47,rule4_3]) ).
cnf(refute_0_49,plain,
( ~ mustard(cole)
| ~ neither(cole) ),
inference(subst,[],[neither3:[bind(X,$fot(cole))]]) ).
cnf(refute_0_50,plain,
( ~ mustard(cole)
| ~ salt(cole)
| both(cole) ),
inference(subst,[],[both3:[bind(X,$fot(cole))]]) ).
cnf(refute_0_51,plain,
( both(barry)
| neither(barry)
| salt(cole) ),
inference(resolve,[$cnf( oneof(barry) )],[refute_0_24,rule3_2]) ).
cnf(refute_0_52,plain,
( ~ mustard(cole)
| both(barry)
| both(cole)
| neither(barry) ),
inference(resolve,[$cnf( salt(cole) )],[refute_0_51,refute_0_50]) ).
cnf(refute_0_53,plain,
( both(barry)
| both(cole)
| neither(barry) ),
inference(resolve,[$cnf( mustard(cole) )],[refute_0_48,refute_0_52]) ).
cnf(refute_0_54,plain,
( both(barry)
| both(cole)
| neither(cole) ),
inference(resolve,[$cnf( neither(barry) )],[refute_0_53,refute_0_23]) ).
cnf(refute_0_55,plain,
( ~ mustard(cole)
| both(barry)
| both(cole) ),
inference(resolve,[$cnf( neither(cole) )],[refute_0_54,refute_0_49]) ).
cnf(refute_0_56,plain,
( both(barry)
| both(cole) ),
inference(resolve,[$cnf( mustard(cole) )],[refute_0_48,refute_0_55]) ).
cnf(refute_0_57,plain,
( both(barry)
| salt(cole) ),
inference(resolve,[$cnf( both(cole) )],[refute_0_56,refute_0_5]) ).
cnf(refute_0_58,plain,
( both(barry)
| neither(mill)
| oneof(barry) ),
inference(resolve,[$cnf( salt(cole) )],[refute_0_57,rule3_1]) ).
cnf(refute_0_59,plain,
( both(barry)
| neither(mill)
| salt(lang) ),
inference(resolve,[$cnf( oneof(barry) )],[refute_0_58,rule7_2]) ).
cnf(refute_0_60,plain,
( ~ neither(lang)
| both(barry)
| neither(mill) ),
inference(resolve,[$cnf( salt(lang) )],[refute_0_59,refute_0_4]) ).
cnf(refute_0_61,plain,
( ~ both(dix)
| mustard(dix) ),
inference(subst,[],[both2:[bind(X,$fot(dix))]]) ).
cnf(refute_0_62,plain,
( ~ neither(cole)
| both(barry) ),
inference(resolve,[$cnf( salt(cole) )],[refute_0_57,refute_0_8]) ).
cnf(refute_0_63,plain,
( both(dix)
| neither(dix)
| oneof(dix) ),
inference(subst,[],[one_condition_holds1:[bind(X,$fot(dix))]]) ).
cnf(refute_0_64,plain,
( both(dix)
| mustard(mill)
| neither(dix) ),
inference(resolve,[$cnf( oneof(dix) )],[refute_0_63,rule10_3]) ).
cnf(refute_0_65,plain,
( ~ neither(dix)
| ~ salt(dix) ),
inference(subst,[],[neither2:[bind(X,$fot(dix))]]) ).
cnf(refute_0_66,plain,
( both(barry)
| salt(dix) ),
inference(resolve,[$cnf( both(cole) )],[refute_0_56,rule5_3]) ).
cnf(refute_0_67,plain,
( ~ neither(dix)
| both(barry) ),
inference(resolve,[$cnf( salt(dix) )],[refute_0_66,refute_0_65]) ).
cnf(refute_0_68,plain,
( both(barry)
| both(dix)
| mustard(mill) ),
inference(resolve,[$cnf( neither(dix) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ both(lang)
| mustard(lang) ),
inference(subst,[],[both2:[bind(X,$fot(lang))]]) ).
cnf(refute_0_70,plain,
( ~ both(cole)
| mustard(cole) ),
inference(subst,[],[both2:[bind(X,$fot(cole))]]) ).
cnf(refute_0_71,plain,
( both(barry)
| mustard(cole) ),
inference(resolve,[$cnf( both(cole) )],[refute_0_56,refute_0_70]) ).
cnf(refute_0_72,plain,
( both(barry)
| both(dix)
| both(lang) ),
inference(resolve,[$cnf( mustard(cole) )],[refute_0_71,rule4_1]) ).
cnf(refute_0_73,plain,
( both(barry)
| both(dix)
| mustard(lang) ),
inference(resolve,[$cnf( both(lang) )],[refute_0_72,refute_0_69]) ).
cnf(refute_0_74,plain,
( both(barry)
| both(dix)
| neither(cole)
| neither(mill) ),
inference(resolve,[$cnf( mustard(lang) )],[refute_0_73,rule8_1]) ).
cnf(refute_0_75,plain,
( ~ mustard(mill)
| both(barry)
| both(dix)
| neither(cole) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_74,refute_0_27]) ).
cnf(refute_0_76,plain,
( both(barry)
| both(dix)
| neither(cole) ),
inference(resolve,[$cnf( mustard(mill) )],[refute_0_68,refute_0_75]) ).
cnf(refute_0_77,plain,
( both(barry)
| both(dix) ),
inference(resolve,[$cnf( neither(cole) )],[refute_0_76,refute_0_62]) ).
cnf(refute_0_78,plain,
( both(barry)
| mustard(dix) ),
inference(resolve,[$cnf( both(dix) )],[refute_0_77,refute_0_61]) ).
cnf(refute_0_79,plain,
( both(barry)
| neither(lang)
| neither(mill) ),
inference(resolve,[$cnf( mustard(dix) )],[refute_0_78,rule6_1]) ).
cnf(refute_0_80,plain,
( both(barry)
| mustard(lang)
| neither(lang) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_79,rule8_3]) ).
cnf(refute_0_81,plain,
( both(barry)
| mustard(lang)
| neither(mill) ),
inference(resolve,[$cnf( neither(lang) )],[refute_0_80,refute_0_60]) ).
cnf(refute_0_82,plain,
( both(barry)
| mustard(lang) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_81,rule8_3]) ).
cnf(refute_0_83,plain,
( ~ mustard(lang)
| ~ neither(lang) ),
inference(subst,[],[neither3:[bind(X,$fot(lang))]]) ).
cnf(refute_0_84,plain,
( ~ mustard(mill)
| both(barry)
| neither(lang) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_79,refute_0_27]) ).
cnf(refute_0_85,plain,
( ~ mustard(lang)
| ~ salt(lang)
| both(lang) ),
inference(subst,[],[both3:[bind(X,$fot(lang))]]) ).
cnf(refute_0_86,plain,
( ~ mustard(lang)
| both(barry)
| both(lang)
| neither(barry) ),
inference(resolve,[$cnf( salt(lang) )],[refute_0_25,refute_0_85]) ).
cnf(refute_0_87,plain,
( both(barry)
| both(lang)
| neither(barry) ),
inference(resolve,[$cnf( mustard(lang) )],[refute_0_82,refute_0_86]) ).
cnf(refute_0_88,plain,
( both(barry)
| both(lang)
| neither(lang) ),
inference(resolve,[$cnf( neither(barry) )],[refute_0_87,refute_0_28]) ).
cnf(refute_0_89,plain,
( ~ mustard(lang)
| both(barry)
| both(lang) ),
inference(resolve,[$cnf( neither(lang) )],[refute_0_88,refute_0_83]) ).
cnf(refute_0_90,plain,
( both(barry)
| both(lang) ),
inference(resolve,[$cnf( mustard(lang) )],[refute_0_82,refute_0_89]) ).
cnf(refute_0_91,plain,
( both(barry)
| mustard(mill) ),
inference(resolve,[$cnf( both(lang) )],[refute_0_90,rule9_3]) ).
cnf(refute_0_92,plain,
( both(barry)
| neither(lang) ),
inference(resolve,[$cnf( mustard(mill) )],[refute_0_91,refute_0_84]) ).
cnf(refute_0_93,plain,
( ~ mustard(lang)
| both(barry) ),
inference(resolve,[$cnf( neither(lang) )],[refute_0_92,refute_0_83]) ).
cnf(refute_0_94,plain,
both(barry),
inference(resolve,[$cnf( mustard(lang) )],[refute_0_82,refute_0_93]) ).
cnf(refute_0_95,plain,
salt(barry),
inference(resolve,[$cnf( both(barry) )],[refute_0_94,refute_0_3]) ).
cnf(refute_0_96,plain,
( oneof(cole)
| oneof(lang) ),
inference(resolve,[$cnf( salt(barry) )],[refute_0_95,rule1_1]) ).
cnf(refute_0_97,plain,
( ~ both(lang)
| oneof(cole) ),
inference(resolve,[$cnf( oneof(lang) )],[refute_0_96,refute_0_2]) ).
cnf(refute_0_98,plain,
( mustard(cole)
| neither(cole)
| salt(cole) ),
inference(subst,[],[neither4:[bind(X,$fot(cole))]]) ).
cnf(refute_0_99,plain,
( mustard(cole)
| neither(cole)
| neither(mill)
| oneof(barry) ),
inference(resolve,[$cnf( salt(cole) )],[refute_0_98,rule3_1]) ).
cnf(refute_0_100,plain,
( ~ mustard(barry)
| ~ oneof(barry)
| ~ salt(barry) ),
inference(subst,[],[oneof4:[bind(X,$fot(barry))]]) ).
cnf(refute_0_101,plain,
( ~ mustard(barry)
| ~ oneof(barry) ),
inference(resolve,[$cnf( salt(barry) )],[refute_0_95,refute_0_100]) ).
cnf(refute_0_102,plain,
( ~ both(barry)
| mustard(barry) ),
inference(subst,[],[both2:[bind(X,$fot(barry))]]) ).
cnf(refute_0_103,plain,
mustard(barry),
inference(resolve,[$cnf( both(barry) )],[refute_0_94,refute_0_102]) ).
cnf(refute_0_104,plain,
~ oneof(barry),
inference(resolve,[$cnf( mustard(barry) )],[refute_0_103,refute_0_101]) ).
cnf(refute_0_105,plain,
( mustard(cole)
| neither(cole)
| neither(mill) ),
inference(resolve,[$cnf( oneof(barry) )],[refute_0_99,refute_0_104]) ).
cnf(refute_0_106,plain,
( ~ neither(mill)
| ~ salt(mill) ),
inference(subst,[],[neither2:[bind(X,$fot(mill))]]) ).
cnf(refute_0_107,plain,
salt(mill),
inference(resolve,[$cnf( both(barry) )],[refute_0_94,rule9_2]) ).
cnf(refute_0_108,plain,
~ neither(mill),
inference(resolve,[$cnf( salt(mill) )],[refute_0_107,refute_0_106]) ).
cnf(refute_0_109,plain,
( mustard(cole)
| neither(cole) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
( mustard(cole)
| mustard(lang) ),
inference(resolve,[$cnf( neither(cole) )],[refute_0_109,rule8_2]) ).
cnf(refute_0_111,plain,
( ~ mustard(lang)
| ~ oneof(lang)
| ~ salt(lang) ),
inference(subst,[],[oneof4:[bind(X,$fot(lang))]]) ).
cnf(refute_0_112,plain,
( both(dix)
| neither(dix)
| salt(lang) ),
inference(resolve,[$cnf( oneof(dix) )],[refute_0_63,rule7_3]) ).
cnf(refute_0_113,plain,
( ~ mustard(lang)
| ~ oneof(lang)
| both(dix)
| neither(dix) ),
inference(resolve,[$cnf( salt(lang) )],[refute_0_112,refute_0_111]) ).
cnf(refute_0_114,plain,
( ~ mustard(lang)
| both(dix)
| neither(dix)
| oneof(cole) ),
inference(resolve,[$cnf( oneof(lang) )],[refute_0_96,refute_0_113]) ).
cnf(refute_0_115,plain,
( both(dix)
| mustard(cole)
| neither(dix)
| oneof(cole) ),
inference(resolve,[$cnf( mustard(lang) )],[refute_0_110,refute_0_114]) ).
cnf(refute_0_116,plain,
( ~ neither(cole)
| both(dix)
| mustard(cole)
| neither(dix) ),
inference(resolve,[$cnf( oneof(cole) )],[refute_0_115,refute_0_1]) ).
cnf(refute_0_117,plain,
( both(dix)
| mustard(cole)
| neither(dix) ),
inference(resolve,[$cnf( neither(cole) )],[refute_0_109,refute_0_116]) ).
cnf(refute_0_118,plain,
( ~ neither(dix)
| ~ oneof(dix) ),
inference(subst,[],[oneof3:[bind(X,$fot(dix))]]) ).
cnf(refute_0_119,plain,
( ~ both(mill)
| mustard(mill) ),
inference(subst,[],[both2:[bind(X,$fot(mill))]]) ).
cnf(refute_0_120,plain,
( ~ mustard(mill)
| ~ salt(mill)
| both(mill) ),
inference(subst,[],[both3:[bind(X,$fot(mill))]]) ).
cnf(refute_0_121,plain,
( ~ mustard(mill)
| both(mill) ),
inference(resolve,[$cnf( salt(mill) )],[refute_0_107,refute_0_120]) ).
cnf(refute_0_122,plain,
( ~ neither(lang)
| ~ oneof(lang) ),
inference(subst,[],[oneof3:[bind(X,$fot(lang))]]) ).
cnf(refute_0_123,plain,
( ~ neither(lang)
| oneof(cole) ),
inference(resolve,[$cnf( oneof(lang) )],[refute_0_96,refute_0_122]) ).
cnf(refute_0_124,plain,
( ~ both(barry)
| ~ oneof(barry) ),
inference(subst,[],[oneof2:[bind(X,$fot(barry))]]) ).
cnf(refute_0_125,plain,
( mustard(lang)
| neither(lang)
| salt(lang) ),
inference(subst,[],[neither4:[bind(X,$fot(lang))]]) ).
cnf(refute_0_126,plain,
( mustard(lang)
| neither(lang)
| oneof(barry)
| oneof(dix) ),
inference(resolve,[$cnf( salt(lang) )],[refute_0_125,rule7_1]) ).
cnf(refute_0_127,plain,
( mustard(lang)
| mustard(mill)
| neither(lang)
| oneof(barry) ),
inference(resolve,[$cnf( oneof(dix) )],[refute_0_126,rule10_3]) ).
cnf(refute_0_128,plain,
( ~ both(barry)
| mustard(lang)
| mustard(mill)
| neither(lang) ),
inference(resolve,[$cnf( oneof(barry) )],[refute_0_127,refute_0_124]) ).
cnf(refute_0_129,plain,
( mustard(lang)
| mustard(mill)
| neither(lang) ),
inference(resolve,[$cnf( both(barry) )],[refute_0_94,refute_0_128]) ).
cnf(refute_0_130,plain,
( mustard(lang)
| mustard(mill)
| oneof(cole) ),
inference(resolve,[$cnf( neither(lang) )],[refute_0_129,refute_0_123]) ).
cnf(refute_0_131,plain,
( mustard(lang)
| mustard(mill) ),
inference(resolve,[$cnf( oneof(cole) )],[refute_0_130,rule10_2]) ).
cnf(refute_0_132,plain,
( both(mill)
| mustard(lang) ),
inference(resolve,[$cnf( mustard(mill) )],[refute_0_131,refute_0_121]) ).
cnf(refute_0_133,plain,
( both(mill)
| neither(cole)
| neither(mill) ),
inference(resolve,[$cnf( mustard(lang) )],[refute_0_132,rule8_1]) ).
cnf(refute_0_134,plain,
( both(mill)
| neither(cole) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_133,refute_0_108]) ).
cnf(refute_0_135,plain,
( both(mill)
| neither(mill)
| oneof(mill) ),
inference(subst,[],[one_condition_holds1:[bind(X,$fot(mill))]]) ).
cnf(refute_0_136,plain,
( ~ both(barry)
| ~ mustard(lang)
| ~ neither(cole)
| ~ neither(dix)
| ~ oneof(lang)
| ~ oneof(mill)
| mustard(mill)
| neither(mill) ),
inference(resolve,[$cnf( salt(mill) )],[refute_0_9,prove_who_takes_what]) ).
cnf(refute_0_137,plain,
( ~ both(barry)
| ~ mustard(lang)
| ~ neither(cole)
| ~ neither(dix)
| ~ oneof(lang)
| both(mill)
| mustard(mill)
| neither(mill) ),
inference(resolve,[$cnf( oneof(mill) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( ~ both(barry)
| ~ mustard(lang)
| ~ neither(cole)
| ~ neither(dix)
| both(lang)
| both(mill)
| mustard(mill)
| neither(lang)
| neither(mill) ),
inference(resolve,[$cnf( oneof(lang) )],[refute_0_18,refute_0_137]) ).
cnf(refute_0_139,plain,
( ~ both(barry)
| ~ mustard(lang)
| ~ neither(cole)
| both(dix)
| both(lang)
| both(mill)
| mustard(mill)
| neither(lang)
| neither(mill) ),
inference(resolve,[$cnf( neither(dix) )],[refute_0_64,refute_0_138]) ).
cnf(refute_0_140,plain,
( ~ mustard(lang)
| ~ neither(cole)
| both(dix)
| both(lang)
| both(mill)
| mustard(mill)
| neither(lang)
| neither(mill) ),
inference(resolve,[$cnf( both(barry) )],[refute_0_94,refute_0_139]) ).
cnf(refute_0_141,plain,
( ~ mustard(lang)
| ~ neither(cole)
| both(dix)
| both(lang)
| both(mill)
| mustard(mill)
| neither(lang) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_140,refute_0_108]) ).
cnf(refute_0_142,plain,
( ~ mustard(lang)
| both(dix)
| both(lang)
| both(mill)
| mustard(mill)
| neither(lang) ),
inference(resolve,[$cnf( neither(cole) )],[refute_0_134,refute_0_141]) ).
cnf(refute_0_143,plain,
( both(dix)
| both(lang)
| both(mill)
| mustard(mill)
| neither(lang) ),
inference(resolve,[$cnf( mustard(lang) )],[refute_0_132,refute_0_142]) ).
cnf(refute_0_144,plain,
( ~ mustard(lang)
| both(dix)
| both(lang)
| both(mill)
| mustard(mill) ),
inference(resolve,[$cnf( neither(lang) )],[refute_0_143,refute_0_83]) ).
cnf(refute_0_145,plain,
( both(dix)
| both(lang)
| both(mill)
| mustard(mill) ),
inference(resolve,[$cnf( mustard(lang) )],[refute_0_132,refute_0_144]) ).
cnf(refute_0_146,plain,
( both(dix)
| both(lang)
| both(mill) ),
inference(resolve,[$cnf( mustard(mill) )],[refute_0_145,refute_0_121]) ).
cnf(refute_0_147,plain,
( both(dix)
| both(lang)
| mustard(mill) ),
inference(resolve,[$cnf( both(mill) )],[refute_0_146,refute_0_119]) ).
cnf(refute_0_148,plain,
( both(dix)
| both(lang)
| oneof(cole)
| oneof(dix) ),
inference(resolve,[$cnf( mustard(mill) )],[refute_0_147,rule10_1]) ).
cnf(refute_0_149,plain,
( ~ neither(dix)
| both(dix)
| both(lang)
| oneof(cole) ),
inference(resolve,[$cnf( oneof(dix) )],[refute_0_148,refute_0_118]) ).
cnf(refute_0_150,plain,
( both(dix)
| both(lang)
| mustard(cole)
| oneof(cole) ),
inference(resolve,[$cnf( neither(dix) )],[refute_0_117,refute_0_149]) ).
cnf(refute_0_151,plain,
( ~ neither(cole)
| both(dix)
| both(lang)
| mustard(cole) ),
inference(resolve,[$cnf( oneof(cole) )],[refute_0_150,refute_0_1]) ).
cnf(refute_0_152,plain,
( both(dix)
| both(lang)
| mustard(cole) ),
inference(resolve,[$cnf( neither(cole) )],[refute_0_109,refute_0_151]) ).
cnf(refute_0_153,plain,
( both(dix)
| both(lang) ),
inference(resolve,[$cnf( mustard(cole) )],[refute_0_152,rule4_1]) ).
cnf(refute_0_154,plain,
( both(dix)
| oneof(cole) ),
inference(resolve,[$cnf( both(lang) )],[refute_0_153,refute_0_97]) ).
cnf(refute_0_155,plain,
( ~ neither(cole)
| both(dix) ),
inference(resolve,[$cnf( oneof(cole) )],[refute_0_154,refute_0_1]) ).
cnf(refute_0_156,plain,
( both(dix)
| mustard(lang) ),
inference(resolve,[$cnf( both(lang) )],[refute_0_153,refute_0_69]) ).
cnf(refute_0_157,plain,
( both(dix)
| neither(cole)
| neither(mill) ),
inference(resolve,[$cnf( mustard(lang) )],[refute_0_156,rule8_1]) ).
cnf(refute_0_158,plain,
( both(dix)
| neither(cole) ),
inference(resolve,[$cnf( neither(mill) )],[refute_0_157,refute_0_108]) ).
cnf(refute_0_159,plain,
both(dix),
inference(resolve,[$cnf( neither(cole) )],[refute_0_158,refute_0_155]) ).
cnf(refute_0_160,plain,
salt(dix),
inference(resolve,[$cnf( both(dix) )],[refute_0_159,refute_0_0]) ).
cnf(refute_0_161,plain,
( both(cole)
| neither(barry) ),
inference(resolve,[$cnf( salt(dix) )],[refute_0_160,rule5_1]) ).
cnf(refute_0_162,plain,
( ~ both(cole)
| ~ oneof(cole) ),
inference(subst,[],[oneof2:[bind(X,$fot(cole))]]) ).
cnf(refute_0_163,plain,
mustard(dix),
inference(resolve,[$cnf( both(dix) )],[refute_0_159,refute_0_61]) ).
cnf(refute_0_164,plain,
( neither(lang)
| neither(mill) ),
inference(resolve,[$cnf( mustard(dix) )],[refute_0_163,rule6_1]) ).
cnf(refute_0_165,plain,
neither(lang),
inference(resolve,[$cnf( neither(mill) )],[refute_0_164,refute_0_108]) ).
cnf(refute_0_166,plain,
oneof(cole),
inference(resolve,[$cnf( neither(lang) )],[refute_0_165,refute_0_123]) ).
cnf(refute_0_167,plain,
~ both(cole),
inference(resolve,[$cnf( oneof(cole) )],[refute_0_166,refute_0_162]) ).
cnf(refute_0_168,plain,
neither(barry),
inference(resolve,[$cnf( both(cole) )],[refute_0_161,refute_0_167]) ).
cnf(refute_0_169,plain,
~ neither(barry),
inference(resolve,[$cnf( salt(barry) )],[refute_0_95,refute_0_21]) ).
cnf(refute_0_170,plain,
$false,
inference(resolve,[$cnf( neither(barry) )],[refute_0_168,refute_0_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 19:44:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51
% 0.18/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.36/0.54
%------------------------------------------------------------------------------