TSTP Solution File: SYN319+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:14:23 EDT 2023

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   2 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :   66 (  19   ~;  21   |;  12   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   21 (   7 sgn;   8   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_2_5,conjecture,
    ? [X1,X2] :
    ! [X3,X4] :
      ( ( ( big_f(X2)
         => big_g(X3) )
       => ( big_g(X1)
          & ~ big_f(X3) ) )
     => ( ( ( big_f(X1)
            | big_g(X1) )
         => big_h(X1) )
       => ( big_h(X4)
          & ( big_h(X2)
           => ( ( big_f(X4)
                | big_g(X4) )
             => big_h(X4) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lkbUEI6mKz/E---3.1_29475.p',church_46_2_5) ).

fof(c_0_1,negated_conjecture,
    ~ ? [X1,X2] :
      ! [X3,X4] :
        ( ( ( big_f(X2)
           => big_g(X3) )
         => ( big_g(X1)
            & ~ big_f(X3) ) )
       => ( ( ( big_f(X1)
              | big_g(X1) )
           => big_h(X1) )
         => ( big_h(X4)
            & ( big_h(X2)
             => ( ( big_f(X4)
                  | big_g(X4) )
               => big_h(X4) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[church_46_2_5])]) ).

fof(c_0_2,negated_conjecture,
    ! [X5,X7,X9,X11] :
      ( ( big_g(X7)
        | big_f(X5) )
      & ( ~ big_f(esk2_0)
        | big_f(X5) )
      & ( big_g(X7)
        | ~ big_g(esk1_0) )
      & ( ~ big_f(esk2_0)
        | ~ big_g(esk1_0) )
      & ( ~ big_f(X9)
        | big_h(X9) )
      & ( ~ big_g(X9)
        | big_h(X9) )
      & ( big_h(X11)
        | ~ big_h(esk3_0) )
      & ( big_f(esk4_0)
        | big_g(esk4_0)
        | ~ big_h(esk3_0) )
      & ( ~ big_h(esk4_0)
        | ~ big_h(esk3_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( big_h(X1)
    | ~ big_g(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( big_g(X1)
    | big_f(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( big_h(X1)
    | ~ big_f(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ big_f(esk2_0)
    | ~ big_g(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( big_h(X1)
    | big_f(X2) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( big_h(X1)
    | big_g(X2) ),
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ big_h(esk4_0)
    | ~ big_h(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    big_h(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.13  % Command    : run_E %s %d THM
% 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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 18:14:24 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.lkbUEI6mKz/E---3.1_29475.p
% 0.19/0.48  # Version: 3.1pre001
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # sh5l with pid 29557 completed with status 0
% 0.19/0.48  # Result found by sh5l
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.48  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.19/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.48  # SAT001_MinMin_p005000_rr_RG with pid 29558 completed with status 0
% 0.19/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.48  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.19/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.001 s
% 0.19/0.48  # Presaturation interreduction done
% 0.19/0.48  
% 0.19/0.48  # Proof found!
% 0.19/0.48  # SZS status Theorem
% 0.19/0.48  # SZS output start CNFRefutation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 1
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.48  # Initial clauses                      : 9
% 0.19/0.48  # Removed in clause preprocessing      : 0
% 0.19/0.48  # Initial clauses in saturation        : 9
% 0.19/0.48  # Processed clauses                    : 22
% 0.19/0.48  # ...of these trivial                  : 0
% 0.19/0.48  # ...subsumed                          : 2
% 0.19/0.48  # ...remaining for further processing  : 20
% 0.19/0.48  # Other redundant clauses eliminated   : 0
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 3
% 0.19/0.48  # Backward-rewritten                   : 4
% 0.19/0.48  # Generated clauses                    : 9
% 0.19/0.48  # ...of the previous two non-redundant : 9
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 1
% 0.19/0.48  # Paramodulations                      : 9
% 0.19/0.48  # Factorizations                       : 0
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 0
% 0.19/0.48  # Total rewrite steps                  : 6
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 5
% 0.19/0.48  #    Positive orientable unit clauses  : 1
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 0
% 0.19/0.48  #    Non-unit-clauses                  : 4
% 0.19/0.48  # Current number of unprocessed clauses: 4
% 0.19/0.48  # ...number of literals in the above   : 8
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 15
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 7
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 7
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 4
% 0.19/0.48  # Unit Clause-clause subsumption calls : 2
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 3
% 0.19/0.48  # BW rewrite match successes           : 3
% 0.19/0.48  # Condensation attempts                : 0
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 644
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.004 s
% 0.19/0.48  # System time              : 0.000 s
% 0.19/0.48  # Total time               : 0.004 s
% 0.19/0.48  # Maximum resident set size: 1756 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.005 s
% 0.19/0.48  # System time              : 0.002 s
% 0.19/0.48  # Total time               : 0.007 s
% 0.19/0.48  # Maximum resident set size: 1672 pages
% 0.19/0.48  % E---3.1 exiting
% 0.19/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------