TSTP Solution File: PUZ030-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 : Fri May  3 02:54:38 EDT 2024

% Result   : Unsatisfiable 1.92s 1.14s
% Output   : CNFRefutation 1.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   35
% Syntax   : Number of clauses     :   90 (   2 unt;  28 nHn;  88 RR)
%            Number of literals    :  232 (   0 equ; 131 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   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ both(X0)
    | salt(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both1) ).

cnf(c_50,plain,
    ( ~ both(X0)
    | mustard(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both2) ).

cnf(c_51,plain,
    ( ~ salt(X0)
    | ~ mustard(X0)
    | both(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both3) ).

cnf(c_52,plain,
    ( ~ oneof(X0)
    | salt(X0)
    | mustard(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof1) ).

cnf(c_53,plain,
    ( ~ both(X0)
    | ~ oneof(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof2) ).

cnf(c_55,plain,
    ( both(X0)
    | oneof(X0)
    | neither(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_condition_holds1) ).

cnf(c_56,plain,
    ( ~ salt(X0)
    | ~ mustard(X0)
    | ~ oneof(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneof4) ).

cnf(c_58,plain,
    ( ~ salt(X0)
    | ~ neither(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither2) ).

cnf(c_59,plain,
    ( ~ mustard(X0)
    | ~ neither(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither3) ).

cnf(c_60,plain,
    ( salt(X0)
    | mustard(X0)
    | neither(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neither4) ).

cnf(c_62,plain,
    ( ~ oneof(cole)
    | salt(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_2) ).

cnf(c_63,plain,
    ( ~ oneof(lang)
    | salt(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1_3) ).

cnf(c_64,plain,
    ( ~ mustard(barry)
    | both(mill)
    | neither(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_1) ).

cnf(c_65,plain,
    ( ~ neither(dix)
    | mustard(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_2) ).

cnf(c_66,plain,
    ( ~ both(mill)
    | mustard(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2_3) ).

cnf(c_67,plain,
    ( ~ salt(cole)
    | oneof(barry)
    | neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_1) ).

cnf(c_69,plain,
    ( ~ neither(mill)
    | salt(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3_3) ).

cnf(c_70,plain,
    ( ~ mustard(cole)
    | both(lang)
    | both(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_1) ).

cnf(c_72,plain,
    ( ~ both(lang)
    | mustard(cole) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4_3) ).

cnf(c_73,plain,
    ( ~ salt(dix)
    | both(cole)
    | neither(barry) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_1) ).

cnf(c_75,plain,
    ( ~ both(cole)
    | salt(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5_3) ).

cnf(c_76,plain,
    ( ~ mustard(dix)
    | neither(lang)
    | neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_1) ).

cnf(c_77,plain,
    ( ~ neither(lang)
    | mustard(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_2) ).

cnf(c_78,plain,
    ( ~ neither(mill)
    | mustard(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule6_3) ).

cnf(c_80,plain,
    ( ~ oneof(barry)
    | salt(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_2) ).

cnf(c_81,plain,
    ( ~ oneof(dix)
    | salt(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule7_3) ).

cnf(c_82,plain,
    ( ~ mustard(lang)
    | neither(cole)
    | neither(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_1) ).

cnf(c_83,plain,
    ( ~ neither(cole)
    | mustard(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_2) ).

cnf(c_84,plain,
    ( ~ neither(mill)
    | mustard(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule8_3) ).

cnf(c_85,plain,
    ( ~ salt(mill)
    | both(barry)
    | both(lang) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_1) ).

cnf(c_86,plain,
    ( ~ both(barry)
    | salt(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_2) ).

cnf(c_87,plain,
    ( ~ both(lang)
    | mustard(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule9_3) ).

cnf(c_88,plain,
    ( ~ mustard(mill)
    | oneof(cole)
    | oneof(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_1) ).

cnf(c_89,plain,
    ( ~ oneof(cole)
    | mustard(mill) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule10_2) ).

cnf(c_91,negated_conjecture,
    ( ~ both(barry)
    | ~ salt(mill)
    | ~ mustard(lang)
    | ~ oneof(lang)
    | ~ oneof(mill)
    | ~ neither(cole)
    | ~ neither(dix) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_who_takes_what) ).

cnf(c_92,plain,
    ( ~ both(lang)
    | mustard(lang) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_96,plain,
    ( ~ salt(lang)
    | ~ neither(lang) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_98,plain,
    ( both(lang)
    | oneof(lang)
    | neither(lang) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_100,plain,
    ( ~ both(lang)
    | ~ oneof(lang) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_102,plain,
    ( ~ salt(lang)
    | ~ mustard(lang)
    | both(lang) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_104,negated_conjecture,
    ( ~ salt(mill)
    | ~ oneof(lang)
    | ~ oneof(mill)
    | ~ neither(cole)
    | ~ neither(dix) ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_83,c_100,c_85,c_91]) ).

cnf(c_335,plain,
    ( ~ both(lang)
    | oneof(cole)
    | oneof(dix) ),
    inference(resolution,[status(thm)],[c_87,c_88]) ).

cnf(c_371,plain,
    ( ~ both(barry)
    | both(mill)
    | neither(dix) ),
    inference(resolution,[status(thm)],[c_50,c_64]) ).

cnf(c_381,plain,
    ( ~ both(mill)
    | ~ neither(barry) ),
    inference(resolution,[status(thm)],[c_59,c_66]) ).

cnf(c_395,plain,
    ( ~ both(mill)
    | ~ salt(barry)
    | ~ oneof(barry) ),
    inference(resolution,[status(thm)],[c_56,c_66]) ).

cnf(c_405,plain,
    ( ~ salt(barry)
    | ~ oneof(barry)
    | ~ neither(dix) ),
    inference(resolution,[status(thm)],[c_56,c_65]) ).

cnf(c_425,plain,
    ( ~ salt(barry)
    | ~ neither(dix)
    | both(barry) ),
    inference(resolution,[status(thm)],[c_51,c_65]) ).

cnf(c_435,plain,
    ( both(lang)
    | both(dix)
    | salt(cole)
    | neither(cole) ),
    inference(resolution,[status(thm)],[c_60,c_70]) ).

cnf(c_436,plain,
    ( both(dix)
    | salt(cole)
    | neither(cole) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_69,c_92,c_82,c_435]) ).

cnf(c_447,plain,
    ( ~ oneof(cole)
    | both(lang)
    | both(dix)
    | salt(cole) ),
    inference(resolution,[status(thm)],[c_52,c_70]) ).

cnf(c_460,plain,
    ( ~ both(cole)
    | both(lang)
    | both(dix) ),
    inference(resolution,[status(thm)],[c_50,c_70]) ).

cnf(c_470,plain,
    ( ~ both(lang)
    | ~ neither(cole) ),
    inference(resolution,[status(thm)],[c_59,c_72]) ).

cnf(c_484,plain,
    ( ~ both(lang)
    | ~ salt(cole)
    | ~ oneof(cole) ),
    inference(resolution,[status(thm)],[c_56,c_72]) ).

cnf(c_485,plain,
    ( ~ both(lang)
    | ~ oneof(cole) ),
    inference(global_subsumption_just,[status(thm)],[c_484,c_69,c_92,c_82,c_470,c_484]) ).

cnf(c_494,plain,
    ( ~ both(lang)
    | oneof(dix) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_335,c_485]) ).

cnf(c_505,plain,
    ( ~ both(lang)
    | ~ salt(cole)
    | both(cole) ),
    inference(resolution,[status(thm)],[c_51,c_72]) ).

cnf(c_506,plain,
    ( ~ both(lang)
    | both(cole) ),
    inference(global_subsumption_just,[status(thm)],[c_505,c_69,c_92,c_82,c_470,c_505]) ).

cnf(c_524,plain,
    ( salt(dix)
    | neither(lang)
    | neither(dix)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c_60,c_76]) ).

cnf(c_537,plain,
    ( ~ oneof(dix)
    | salt(dix)
    | neither(lang)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c_52,c_76]) ).

cnf(c_538,plain,
    ( ~ oneof(dix)
    | salt(dix) ),
    inference(global_subsumption_just,[status(thm)],[c_537,c_84,c_81,c_75,c_96,c_102,c_506,c_537]) ).

cnf(c_546,plain,
    ( ~ both(dix)
    | neither(lang)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c_50,c_76]) ).

cnf(c_556,plain,
    ( ~ neither(dix)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c_59,c_78]) ).

cnf(c_563,plain,
    ( ~ neither(lang)
    | ~ neither(dix) ),
    inference(resolution,[status(thm)],[c_59,c_77]) ).

cnf(c_570,plain,
    ( ~ salt(dix)
    | ~ oneof(dix)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c_56,c_78]) ).

cnf(c_571,plain,
    ( ~ oneof(dix)
    | ~ neither(mill) ),
    inference(global_subsumption_just,[status(thm)],[c_570,c_538,c_570]) ).

cnf(c_579,plain,
    ( ~ salt(dix)
    | ~ oneof(dix)
    | ~ neither(lang) ),
    inference(resolution,[status(thm)],[c_56,c_77]) ).

cnf(c_580,plain,
    ( ~ oneof(dix)
    | ~ neither(lang) ),
    inference(global_subsumption_just,[status(thm)],[c_579,c_81,c_96]) ).

cnf(c_633,plain,
    ( ~ both(lang)
    | neither(cole)
    | neither(mill) ),
    inference(resolution,[status(thm)],[c_50,c_82]) ).

cnf(c_634,plain,
    ~ both(lang),
    inference(global_subsumption_just,[status(thm)],[c_633,c_470,c_494,c_538,c_570,c_633]) ).

cnf(c_639,plain,
    ( ~ both(cole)
    | both(dix) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_460,c_634]) ).

cnf(c_640,plain,
    ( ~ neither(lang)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c_59,c_84]) ).

cnf(c_654,plain,
    ( ~ salt(lang)
    | ~ oneof(lang)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c_56,c_84]) ).

cnf(c_655,plain,
    ( ~ salt(lang)
    | ~ neither(mill) ),
    inference(global_subsumption_just,[status(thm)],[c_654,c_84,c_102,c_470,c_494,c_538,c_570,c_633]) ).

cnf(c_663,plain,
    ( ~ salt(lang)
    | ~ oneof(lang)
    | ~ neither(cole) ),
    inference(resolution,[status(thm)],[c_56,c_83]) ).

cnf(c_664,plain,
    ( ~ salt(lang)
    | ~ neither(cole) ),
    inference(global_subsumption_just,[status(thm)],[c_663,c_83,c_102,c_470,c_494,c_538,c_570,c_633]) ).

cnf(c_687,plain,
    ( ~ oneof(mill)
    | salt(mill)
    | oneof(cole)
    | oneof(dix) ),
    inference(resolution,[status(thm)],[c_52,c_88]) ).

cnf(c_700,plain,
    ( ~ both(mill)
    | oneof(cole)
    | oneof(dix) ),
    inference(resolution,[status(thm)],[c_50,c_88]) ).

cnf(c_701,plain,
    ( oneof(cole)
    | ~ both(mill) ),
    inference(global_subsumption_just,[status(thm)],[c_700,c_73,c_381,c_460,c_470,c_494,c_538,c_546,c_570,c_571,c_580,c_633,c_700]) ).

cnf(c_702,plain,
    ( ~ both(mill)
    | oneof(cole) ),
    inference(renaming,[status(thm)],[c_701]) ).

cnf(c_710,plain,
    ( ~ oneof(cole)
    | ~ neither(mill) ),
    inference(resolution,[status(thm)],[c_59,c_89]) ).

cnf(c_727,plain,
    ( ~ salt(mill)
    | ~ oneof(cole)
    | ~ oneof(mill) ),
    inference(resolution,[status(thm)],[c_56,c_89]) ).

cnf(c_728,plain,
    ( ~ salt(mill)
    | ~ oneof(mill) ),
    inference(global_subsumption_just,[status(thm)],[c_727,c_63,c_98,c_85,c_67,c_104,c_371,c_405,c_436,c_546,c_556,c_563,c_634,c_702,c_727]) ).

cnf(c_735,plain,
    ( ~ oneof(mill)
    | oneof(cole)
    | oneof(dix) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_687,c_728]) ).

cnf(c_851,plain,
    ( ~ both(dix)
    | salt(dix) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_852,plain,
    ( ~ both(cole)
    | ~ oneof(cole) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_857,plain,
    ( both(mill)
    | oneof(mill)
    | neither(mill) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_858,plain,
    ( both(barry)
    | oneof(barry)
    | neither(barry) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_859,plain,
    ( both(cole)
    | oneof(cole)
    | neither(cole) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_861,plain,
    ( ~ salt(barry)
    | ~ neither(barry) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_862,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_861,c_859,c_858,c_857,c_852,c_851,c_735,c_728,c_710,c_702,c_664,c_655,c_640,c_639,c_634,c_580,c_571,c_556,c_546,c_524,c_447,c_425,c_395,c_371,c_67,c_73,c_98,c_96,c_62,c_63,c_80,c_81,c_86]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n008.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 21:06:12 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.92/1.14  % SZS status Started for theBenchmark.p
% 1.92/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 1.92/1.14  
% 1.92/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.92/1.14  
% 1.92/1.14  ------  iProver source info
% 1.92/1.14  
% 1.92/1.14  git: date: 2024-05-02 19:28:25 +0000
% 1.92/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.92/1.14  git: non_committed_changes: false
% 1.92/1.14  
% 1.92/1.14  ------ Parsing...successful
% 1.92/1.14  
% 1.92/1.14  ------  preprocesses with Option_epr_non_horn_non_eq
% 1.92/1.14  
% 1.92/1.14  
% 1.92/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e 
% 1.92/1.14  
% 1.92/1.14  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 1.92/1.14   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.92/1.14  ------ Proving...
% 1.92/1.14  ------ Problem Properties 
% 1.92/1.14  
% 1.92/1.14  
% 1.92/1.14  clauses                                 58
% 1.92/1.14  conjectures                             0
% 1.92/1.14  EPR                                     58
% 1.92/1.14  Horn                                    42
% 1.92/1.14  unary                                   1
% 1.92/1.14  binary                                  33
% 1.92/1.14  lits                                    145
% 1.92/1.14  lits eq                                 0
% 1.92/1.14  fd_pure                                 0
% 1.92/1.14  fd_pseudo                               0
% 1.92/1.14  fd_cond                                 0
% 1.92/1.14  fd_pseudo_cond                          0
% 1.92/1.14  AC symbols                              0
% 1.92/1.14  
% 1.92/1.14  ------ Schedule EPR non Horn non eq is on
% 1.92/1.14  
% 1.92/1.14  ------ no conjectures: strip conj schedule 
% 1.92/1.14  
% 1.92/1.14  ------ no equalities: superposition off 
% 1.92/1.14  
% 1.92/1.14  ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 1.92/1.14  
% 1.92/1.14  
% 1.92/1.14  ------ 
% 1.92/1.14  Current options:
% 1.92/1.14  ------ 
% 1.92/1.14  
% 1.92/1.14  
% 1.92/1.14  
% 1.92/1.14  
% 1.92/1.14  ------ Proving...
% 1.92/1.14  
% 1.92/1.14  
% 1.92/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 1.92/1.14  
% 1.92/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/1.14  
% 1.92/1.14  
%------------------------------------------------------------------------------