TSTP Solution File: PUZ130+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:13:06 EDT 2023

% Result   : Theorem 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   33 (  20 unt;   0 def)
%            Number of atoms       :   63 (   6 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   53 (  23   ~;  21   |;   3   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   19 (   0 sgn;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(dog_pet_type,axiom,
    ! [X1] :
      ( dog(X1)
     => pet(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',dog_pet_type) ).

fof(owner_def,axiom,
    ! [X2,X3] :
      ( ( human(X2)
        & pet(X3) )
     => ( owner(X2,X3)
      <=> X2 = owner_of(X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',owner_def) ).

fof(odie_type,axiom,
    dog(odie),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',odie_type) ).

fof(cat_pet_type,axiom,
    ! [X1] :
      ( cat(X1)
     => pet(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',cat_pet_type) ).

fof(cat_chase_axiom,axiom,
    ! [X2,X3] :
      ( ( cat(X2)
        & dog(X3) )
     => ( chased(X3,X2)
       => hates(owner_of(X2),owner_of(X3)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',cat_chase_axiom) ).

fof(jon_o_owner_axiom,axiom,
    owner(jon,odie),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',jon_o_owner_axiom) ).

fof(jon_type,axiom,
    human(jon),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',jon_type) ).

fof(garfield_type,axiom,
    cat(garfield),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',garfield_type) ).

fof(jon_g_owner_axiom,axiom,
    owner(jon,garfield),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',jon_g_owner_axiom) ).

fof(jon_conjecture,conjecture,
    hates(jon,jon),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',jon_conjecture) ).

fof(odie_chase_axiom,axiom,
    chased(odie,garfield),
    file('/export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p',odie_chase_axiom) ).

fof(c_0_11,plain,
    ! [X14] :
      ( ~ dog(X14)
      | pet(X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dog_pet_type])]) ).

fof(c_0_12,plain,
    ! [X11,X12] :
      ( ( ~ owner(X11,X12)
        | X11 = owner_of(X12)
        | ~ human(X11)
        | ~ pet(X12) )
      & ( X11 != owner_of(X12)
        | owner(X11,X12)
        | ~ human(X11)
        | ~ pet(X12) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owner_def])])]) ).

cnf(c_0_13,plain,
    ( pet(X1)
    | ~ dog(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,plain,
    dog(odie),
    inference(split_conjunct,[status(thm)],[odie_type]) ).

fof(c_0_15,plain,
    ! [X16] :
      ( ~ cat(X16)
      | pet(X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cat_pet_type])]) ).

fof(c_0_16,plain,
    ! [X4,X5] :
      ( ~ cat(X4)
      | ~ dog(X5)
      | ~ chased(X5,X4)
      | hates(owner_of(X4),owner_of(X5)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cat_chase_axiom])]) ).

cnf(c_0_17,plain,
    ( X1 = owner_of(X2)
    | ~ owner(X1,X2)
    | ~ human(X1)
    | ~ pet(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    owner(jon,odie),
    inference(split_conjunct,[status(thm)],[jon_o_owner_axiom]) ).

cnf(c_0_19,plain,
    human(jon),
    inference(split_conjunct,[status(thm)],[jon_type]) ).

cnf(c_0_20,plain,
    pet(odie),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_21,plain,
    ( pet(X1)
    | ~ cat(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,plain,
    cat(garfield),
    inference(split_conjunct,[status(thm)],[garfield_type]) ).

cnf(c_0_23,plain,
    ( hates(owner_of(X1),owner_of(X2))
    | ~ cat(X1)
    | ~ dog(X2)
    | ~ chased(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    owner_of(odie) = jon,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).

cnf(c_0_25,plain,
    owner(jon,garfield),
    inference(split_conjunct,[status(thm)],[jon_g_owner_axiom]) ).

cnf(c_0_26,plain,
    pet(garfield),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_27,negated_conjecture,
    ~ hates(jon,jon),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[jon_conjecture])]) ).

cnf(c_0_28,plain,
    ( hates(owner_of(X1),jon)
    | ~ chased(odie,X1)
    | ~ cat(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_14])]) ).

cnf(c_0_29,plain,
    owner_of(garfield) = jon,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_25]),c_0_19]),c_0_26])]) ).

cnf(c_0_30,plain,
    chased(odie,garfield),
    inference(split_conjunct,[status(thm)],[odie_chase_axiom]) ).

cnf(c_0_31,negated_conjecture,
    ~ hates(jon,jon),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_32,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_22])]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 2400
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Oct  2 19:12:07 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.NZjqAeW2St/E---3.1_13645.p
% 0.16/0.44  # Version: 3.1pre001
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # new_bool_3 with pid 13727 completed with status 0
% 0.16/0.44  # Result found by new_bool_3
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FGUSF-FFSM11-SFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.44  # SAT001_MinMin_p005000_rr_RG with pid 13733 completed with status 0
% 0.16/0.44  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FGUSF-FFSM11-SFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.001 s
% 0.16/0.44  # Presaturation interreduction done
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Theorem
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 19
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.44  # Initial clauses                      : 23
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 23
% 0.16/0.44  # Processed clauses                    : 100
% 0.16/0.44  # ...of these trivial                  : 0
% 0.16/0.44  # ...subsumed                          : 15
% 0.16/0.44  # ...remaining for further processing  : 85
% 0.16/0.44  # Other redundant clauses eliminated   : 1
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 18
% 0.16/0.44  # Backward-rewritten                   : 11
% 0.16/0.44  # Generated clauses                    : 309
% 0.16/0.44  # ...of the previous two non-redundant : 297
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 1
% 0.16/0.44  # Paramodulations                      : 302
% 0.16/0.44  # Factorizations                       : 6
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 1
% 0.16/0.44  # Total rewrite steps                  : 35
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 32
% 0.16/0.44  #    Positive orientable unit clauses  : 20
% 0.16/0.44  #    Positive unorientable unit clauses: 0
% 0.16/0.44  #    Negative unit clauses             : 1
% 0.16/0.44  #    Non-unit-clauses                  : 11
% 0.16/0.44  # Current number of unprocessed clauses: 26
% 0.16/0.44  # ...number of literals in the above   : 121
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 52
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 121
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 105
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 24
% 0.16/0.44  # Unit Clause-clause subsumption calls : 21
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 4
% 0.16/0.44  # BW rewrite match successes           : 4
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 2496
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.007 s
% 0.16/0.44  # System time              : 0.002 s
% 0.16/0.44  # Total time               : 0.009 s
% 0.16/0.44  # Maximum resident set size: 1732 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.007 s
% 0.16/0.44  # System time              : 0.003 s
% 0.16/0.44  # Total time               : 0.010 s
% 0.16/0.44  # Maximum resident set size: 1684 pages
% 0.16/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------