TSTP Solution File: SYN323+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 20:29:54 EDT 2023

% Result   : Theorem 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   35 (  14   ~;   8   |;   3   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   21 (   4 sgn;   7   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_4_2,conjecture,
    ? [X1] :
      ( ! [X2] :
          ( ( big_f(X2,X1)
           => big_f(X1,X2) )
         => big_g(X2,X1) )
     => ~ ! [X2] :
            ( ( big_f(X2,X1)
             => big_f(X1,X2) )
           => ~ big_g(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.CXCABK3jV9/E---3.1_11492.p',church_46_4_2) ).

fof(c_0_1,negated_conjecture,
    ~ ? [X1] :
        ( ! [X2] :
            ( ( big_f(X2,X1)
             => big_f(X1,X2) )
           => big_g(X2,X1) )
       => ~ ! [X2] :
              ( ( big_f(X2,X1)
               => big_f(X1,X2) )
             => ~ big_g(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[church_46_4_2])]) ).

fof(c_0_2,negated_conjecture,
    ! [X3,X4,X5] :
      ( ( big_f(X4,X3)
        | big_g(X4,X3) )
      & ( ~ big_f(X3,X4)
        | big_g(X4,X3) )
      & ( big_f(X5,X3)
        | ~ big_g(X5,X3) )
      & ( ~ big_f(X3,X5)
        | ~ big_g(X5,X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( big_g(X2,X1)
    | ~ big_f(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

cnf(c_0_5,negated_conjecture,
    ( big_f(X1,X2)
    | big_g(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ~ big_f(X1,X2),
    inference(csr,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( big_f(X1,X2)
    | ~ big_g(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    big_g(X1,X2),
    inference(sr,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),c_0_6]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% 0.09/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n009.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   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Oct  2 18:14:59 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.18/0.46  Running first-order model finding
% 0.18/0.46  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.CXCABK3jV9/E---3.1_11492.p
% 0.18/0.47  # Version: 3.1pre001
% 0.18/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47  # Starting sh5l with 300s (1) cores
% 0.18/0.47  # new_bool_1 with pid 11571 completed with status 0
% 0.18/0.47  # Result found by new_bool_1
% 0.18/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.18/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.47  # SAT001_MinMin_p005000_rr_RG with pid 11575 completed with status 0
% 0.18/0.47  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.18/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.47  # Preprocessing time       : 0.001 s
% 0.18/0.47  # Presaturation interreduction done
% 0.18/0.47  
% 0.18/0.47  # Proof found!
% 0.18/0.47  # SZS status Theorem
% 0.18/0.47  # SZS output start CNFRefutation
% See solution above
% 0.18/0.47  # Parsed axioms                        : 1
% 0.18/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.47  # Initial clauses                      : 4
% 0.18/0.47  # Removed in clause preprocessing      : 0
% 0.18/0.47  # Initial clauses in saturation        : 4
% 0.18/0.47  # Processed clauses                    : 5
% 0.18/0.47  # ...of these trivial                  : 0
% 0.18/0.47  # ...subsumed                          : 0
% 0.18/0.47  # ...remaining for further processing  : 4
% 0.18/0.47  # Other redundant clauses eliminated   : 0
% 0.18/0.47  # Clauses deleted for lack of memory   : 0
% 0.18/0.47  # Backward-subsumed                    : 1
% 0.18/0.47  # Backward-rewritten                   : 0
% 0.18/0.47  # Generated clauses                    : 1
% 0.18/0.47  # ...of the previous two non-redundant : 1
% 0.18/0.47  # ...aggressively subsumed             : 0
% 0.18/0.47  # Contextual simplify-reflections      : 1
% 0.18/0.47  # Paramodulations                      : 0
% 0.18/0.47  # Factorizations                       : 0
% 0.18/0.47  # NegExts                              : 0
% 0.18/0.47  # Equation resolutions                 : 0
% 0.18/0.47  # Total rewrite steps                  : 1
% 0.18/0.47  # Propositional unsat checks           : 0
% 0.18/0.47  #    Propositional check models        : 0
% 0.18/0.47  #    Propositional check unsatisfiable : 0
% 0.18/0.47  #    Propositional clauses             : 0
% 0.18/0.47  #    Propositional clauses after purity: 0
% 0.18/0.47  #    Propositional unsat core size     : 0
% 0.18/0.47  #    Propositional preprocessing time  : 0.000
% 0.18/0.47  #    Propositional encoding time       : 0.000
% 0.18/0.47  #    Propositional solver time         : 0.000
% 0.18/0.47  #    Success case prop preproc time    : 0.000
% 0.18/0.47  #    Success case prop encoding time   : 0.000
% 0.18/0.47  #    Success case prop solver time     : 0.000
% 0.18/0.47  # Current number of processed clauses  : 2
% 0.18/0.47  #    Positive orientable unit clauses  : 1
% 0.18/0.47  #    Positive unorientable unit clauses: 0
% 0.18/0.47  #    Negative unit clauses             : 1
% 0.18/0.47  #    Non-unit-clauses                  : 0
% 0.18/0.47  # Current number of unprocessed clauses: 0
% 0.18/0.47  # ...number of literals in the above   : 0
% 0.18/0.47  # Current number of archived formulas  : 0
% 0.18/0.47  # Current number of archived clauses   : 2
% 0.18/0.47  # Clause-clause subsumption calls (NU) : 2
% 0.18/0.47  # Rec. Clause-clause subsumption calls : 2
% 0.18/0.47  # Non-unit clause-clause subsumptions  : 1
% 0.18/0.47  # Unit Clause-clause subsumption calls : 1
% 0.18/0.47  # Rewrite failures with RHS unbound    : 0
% 0.18/0.47  # BW rewrite match attempts            : 0
% 0.18/0.47  # BW rewrite match successes           : 0
% 0.18/0.47  # Condensation attempts                : 0
% 0.18/0.47  # Condensation successes               : 0
% 0.18/0.47  # Termbank termtop insertions          : 250
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.002 s
% 0.18/0.47  # System time              : 0.002 s
% 0.18/0.47  # Total time               : 0.004 s
% 0.18/0.47  # Maximum resident set size: 1592 pages
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.005 s
% 0.18/0.47  # System time              : 0.002 s
% 0.18/0.47  # Total time               : 0.007 s
% 0.18/0.47  # Maximum resident set size: 1668 pages
% 0.18/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------