TSTP Solution File: PHI013+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PHI013+1 : TPTP v8.2.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Tue May 21 02:18:08 EDT 2024

% Result   : Theorem 0.22s 0.50s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   33 (  12 unt;   0 def)
%            Number of atoms       :  122 (   0 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  146 (  57   ~;  60   |;  18   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :   38 (   3 sgn  15   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(premise_2,axiom,
    ! [X5] :
      ( object(X5)
     => ( ( is_the(X5,none_greater)
          & ~ exemplifies_property(existence,X5) )
       => ? [X2] :
            ( object(X2)
            & exemplifies_relation(greater_than,X2,X5)
            & exemplifies_property(conceivable,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

fof(god_exists,conjecture,
    exemplifies_property(existence,god),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).

fof(description_is_property_and_described_is_object,axiom,
    ! [X5,X1] :
      ( is_the(X5,X1)
     => ( property(X1)
        & object(X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).

fof(description_theorem_2,axiom,
    ! [X1] :
      ( property(X1)
     => ( ? [X2] :
            ( object(X2)
            & is_the(X2,X1) )
       => ! [X3] :
            ( object(X3)
           => ( is_the(X3,X1)
             => exemplifies_property(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_2) ).

fof(definition_none_greater,axiom,
    ! [X5] :
      ( object(X5)
     => ( exemplifies_property(none_greater,X5)
      <=> ( exemplifies_property(conceivable,X5)
          & ~ ? [X2] :
                ( object(X2)
                & exemplifies_relation(greater_than,X2,X5)
                & exemplifies_property(conceivable,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).

fof(definition_god,axiom,
    is_the(god,none_greater),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).

fof(c_0_6,plain,
    ! [X5] :
      ( object(X5)
     => ( ( is_the(X5,none_greater)
          & ~ exemplifies_property(existence,X5) )
       => ? [X2] :
            ( object(X2)
            & exemplifies_relation(greater_than,X2,X5)
            & exemplifies_property(conceivable,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[premise_2]) ).

fof(c_0_7,negated_conjecture,
    ~ exemplifies_property(existence,god),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[god_exists])]) ).

fof(c_0_8,plain,
    ! [X20] :
      ( ( object(esk6_1(X20))
        | ~ is_the(X20,none_greater)
        | exemplifies_property(existence,X20)
        | ~ object(X20) )
      & ( exemplifies_relation(greater_than,esk6_1(X20),X20)
        | ~ is_the(X20,none_greater)
        | exemplifies_property(existence,X20)
        | ~ object(X20) )
      & ( exemplifies_property(conceivable,esk6_1(X20))
        | ~ is_the(X20,none_greater)
        | exemplifies_property(existence,X20)
        | ~ object(X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).

fof(c_0_9,plain,
    ! [X22,X23] :
      ( ( property(X23)
        | ~ is_the(X22,X23) )
      & ( object(X22)
        | ~ is_the(X22,X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[description_is_property_and_described_is_object])])])]) ).

fof(c_0_10,negated_conjecture,
    ~ exemplifies_property(existence,god),
    inference(fof_nnf,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( exemplifies_relation(greater_than,esk6_1(X1),X1)
    | exemplifies_property(existence,X1)
    | ~ is_the(X1,none_greater)
    | ~ object(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( object(X1)
    | ~ is_the(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( exemplifies_property(conceivable,esk6_1(X1))
    | exemplifies_property(existence,X1)
    | ~ is_the(X1,none_greater)
    | ~ object(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( object(esk6_1(X1))
    | exemplifies_property(existence,X1)
    | ~ is_the(X1,none_greater)
    | ~ object(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_15,plain,
    ! [X10,X11,X12] :
      ( ~ property(X10)
      | ~ object(X11)
      | ~ is_the(X11,X10)
      | ~ object(X12)
      | ~ is_the(X12,X10)
      | exemplifies_property(X10,X12) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[description_theorem_2])])])]) ).

fof(c_0_16,plain,
    ! [X13,X14] :
      ( ( exemplifies_property(conceivable,X13)
        | ~ exemplifies_property(none_greater,X13)
        | ~ object(X13) )
      & ( ~ object(X14)
        | ~ exemplifies_relation(greater_than,X14,X13)
        | ~ exemplifies_property(conceivable,X14)
        | ~ exemplifies_property(none_greater,X13)
        | ~ object(X13) )
      & ( object(esk3_1(X13))
        | ~ exemplifies_property(conceivable,X13)
        | exemplifies_property(none_greater,X13)
        | ~ object(X13) )
      & ( exemplifies_relation(greater_than,esk3_1(X13),X13)
        | ~ exemplifies_property(conceivable,X13)
        | exemplifies_property(none_greater,X13)
        | ~ object(X13) )
      & ( exemplifies_property(conceivable,esk3_1(X13))
        | ~ exemplifies_property(conceivable,X13)
        | exemplifies_property(none_greater,X13)
        | ~ object(X13) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_none_greater])])])])])]) ).

cnf(c_0_17,negated_conjecture,
    ~ exemplifies_property(existence,god),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( exemplifies_relation(greater_than,esk6_1(X1),X1)
    | exemplifies_property(existence,X1)
    | ~ is_the(X1,none_greater) ),
    inference(csr,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_19,plain,
    is_the(god,none_greater),
    inference(split_conjunct,[status(thm)],[definition_god]) ).

cnf(c_0_20,plain,
    ( exemplifies_property(conceivable,esk6_1(X1))
    | exemplifies_property(existence,X1)
    | ~ is_the(X1,none_greater) ),
    inference(csr,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_21,plain,
    ( exemplifies_property(existence,X1)
    | object(esk6_1(X1))
    | ~ is_the(X1,none_greater) ),
    inference(csr,[status(thm)],[c_0_14,c_0_12]) ).

cnf(c_0_22,plain,
    ( exemplifies_property(X1,X3)
    | ~ property(X1)
    | ~ object(X2)
    | ~ is_the(X2,X1)
    | ~ object(X3)
    | ~ is_the(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( property(X1)
    | ~ is_the(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_24,plain,
    ( ~ object(X1)
    | ~ exemplifies_relation(greater_than,X1,X2)
    | ~ exemplifies_property(conceivable,X1)
    | ~ exemplifies_property(none_greater,X2)
    | ~ object(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    exemplifies_relation(greater_than,esk6_1(god),god),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_26,negated_conjecture,
    exemplifies_property(conceivable,esk6_1(god)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_20]),c_0_19])]) ).

cnf(c_0_27,plain,
    object(god),
    inference(spm,[status(thm)],[c_0_12,c_0_19]) ).

cnf(c_0_28,negated_conjecture,
    object(esk6_1(god)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_21]),c_0_19])]) ).

cnf(c_0_29,plain,
    ( exemplifies_property(X1,X2)
    | ~ is_the(X2,X1)
    | ~ is_the(X3,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_22,c_0_23]),c_0_12]),c_0_12]) ).

cnf(c_0_30,negated_conjecture,
    ~ exemplifies_property(none_greater,god),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28])]) ).

cnf(c_0_31,plain,
    ( exemplifies_property(none_greater,X1)
    | ~ is_the(X1,none_greater) ),
    inference(spm,[status(thm)],[c_0_29,c_0_19]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : PHI013+1 : TPTP v8.2.0. Released v7.2.0.
% 0.14/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 18 14:43:22 EDT 2024
% 0.22/0.35  % CPUTime    : 
% 0.22/0.48  Running first-order theorem proving
% 0.22/0.48  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  # Version: 3.1.0
% 0.22/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.50  # Starting sh5l with 300s (1) cores
% 0.22/0.50  # sh5l with pid 16275 completed with status 0
% 0.22/0.50  # Result found by sh5l
% 0.22/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.50  # Starting sh5l with 300s (1) cores
% 0.22/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.50  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.22/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 0.22/0.50  # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 16279 completed with status 0
% 0.22/0.50  # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.22/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.50  # Starting sh5l with 300s (1) cores
% 0.22/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.50  # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.22/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50  # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 0.22/0.50  # Preprocessing time       : 0.001 s
% 0.22/0.50  # Presaturation interreduction done
% 0.22/0.50  
% 0.22/0.50  # Proof found!
% 0.22/0.50  # SZS status Theorem
% 0.22/0.50  # SZS output start CNFRefutation
% See solution above
% 0.22/0.50  # Parsed axioms                        : 9
% 0.22/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.50  # Initial clauses                      : 24
% 0.22/0.50  # Removed in clause preprocessing      : 0
% 0.22/0.50  # Initial clauses in saturation        : 24
% 0.22/0.50  # Processed clauses                    : 59
% 0.22/0.50  # ...of these trivial                  : 0
% 0.22/0.50  # ...subsumed                          : 0
% 0.22/0.50  # ...remaining for further processing  : 59
% 0.22/0.50  # Other redundant clauses eliminated   : 0
% 0.22/0.50  # Clauses deleted for lack of memory   : 0
% 0.22/0.50  # Backward-subsumed                    : 0
% 0.22/0.50  # Backward-rewritten                   : 2
% 0.22/0.50  # Generated clauses                    : 84
% 0.22/0.50  # ...of the previous two non-redundant : 78
% 0.22/0.50  # ...aggressively subsumed             : 0
% 0.22/0.50  # Contextual simplify-reflections      : 6
% 0.22/0.50  # Paramodulations                      : 84
% 0.22/0.50  # Factorizations                       : 0
% 0.22/0.50  # NegExts                              : 0
% 0.22/0.50  # Equation resolutions                 : 0
% 0.22/0.50  # Disequality decompositions           : 0
% 0.22/0.50  # Total rewrite steps                  : 39
% 0.22/0.50  # ...of those cached                   : 31
% 0.22/0.50  # Propositional unsat checks           : 0
% 0.22/0.50  #    Propositional check models        : 0
% 0.22/0.50  #    Propositional check unsatisfiable : 0
% 0.22/0.50  #    Propositional clauses             : 0
% 0.22/0.50  #    Propositional clauses after purity: 0
% 0.22/0.50  #    Propositional unsat core size     : 0
% 0.22/0.50  #    Propositional preprocessing time  : 0.000
% 0.22/0.50  #    Propositional encoding time       : 0.000
% 0.22/0.50  #    Propositional solver time         : 0.000
% 0.22/0.50  #    Success case prop preproc time    : 0.000
% 0.22/0.50  #    Success case prop encoding time   : 0.000
% 0.22/0.50  #    Success case prop solver time     : 0.000
% 0.22/0.50  # Current number of processed clauses  : 33
% 0.22/0.50  #    Positive orientable unit clauses  : 10
% 0.22/0.50  #    Positive unorientable unit clauses: 0
% 0.22/0.50  #    Negative unit clauses             : 2
% 0.22/0.50  #    Non-unit-clauses                  : 21
% 0.22/0.50  # Current number of unprocessed clauses: 63
% 0.22/0.50  # ...number of literals in the above   : 329
% 0.22/0.50  # Current number of archived formulas  : 0
% 0.22/0.50  # Current number of archived clauses   : 26
% 0.22/0.50  # Clause-clause subsumption calls (NU) : 89
% 0.22/0.50  # Rec. Clause-clause subsumption calls : 46
% 0.22/0.50  # Non-unit clause-clause subsumptions  : 6
% 0.22/0.50  # Unit Clause-clause subsumption calls : 58
% 0.22/0.50  # Rewrite failures with RHS unbound    : 0
% 0.22/0.50  # BW rewrite match attempts            : 2
% 0.22/0.50  # BW rewrite match successes           : 2
% 0.22/0.50  # Condensation attempts                : 0
% 0.22/0.50  # Condensation successes               : 0
% 0.22/0.50  # Termbank termtop insertions          : 3415
% 0.22/0.50  # Search garbage collected termcells   : 389
% 0.22/0.50  
% 0.22/0.50  # -------------------------------------------------
% 0.22/0.50  # User time                : 0.008 s
% 0.22/0.50  # System time              : 0.003 s
% 0.22/0.50  # Total time               : 0.011 s
% 0.22/0.50  # Maximum resident set size: 1740 pages
% 0.22/0.50  
% 0.22/0.50  # -------------------------------------------------
% 0.22/0.50  # User time                : 0.010 s
% 0.22/0.50  # System time              : 0.004 s
% 0.22/0.50  # Total time               : 0.014 s
% 0.22/0.50  # Maximum resident set size: 1700 pages
% 0.22/0.50  % E---3.1 exiting
% 0.22/0.50  % E exiting
%------------------------------------------------------------------------------