TSTP Solution File: SYN920+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN920+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 20:42:32 EDT 2023

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :   93 (  29   ~;  30   |;  20   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   21 (   0 sgn;  12   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ( ( ( ! [X1] :
            ( ( f(X1)
              & g(X1) )
           => h(X1) )
       => ? [X1] :
            ( f(X1)
            & ~ g(X1) ) )
      & ( ! [X2] :
            ( f(X2)
           => g(X2) )
        | ! [X3] :
            ( f(X3)
           => h(X3) ) ) )
   => ( ! [X4] :
          ( ( f(X4)
            & h(X4) )
         => g(X4) )
     => ? [X5] :
          ( f(X5)
          & g(X5)
          & ~ h(X5) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.eHrfV0IL9g/E---3.1_30221.p',prove_this) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( ( ! [X1] :
              ( ( f(X1)
                & g(X1) )
             => h(X1) )
         => ? [X1] :
              ( f(X1)
              & ~ g(X1) ) )
        & ( ! [X2] :
              ( f(X2)
             => g(X2) )
          | ! [X3] :
              ( f(X3)
             => h(X3) ) ) )
     => ( ! [X4] :
            ( ( f(X4)
              & h(X4) )
           => g(X4) )
       => ? [X5] :
            ( f(X5)
            & g(X5)
            & ~ h(X5) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_this])]) ).

fof(c_0_2,negated_conjecture,
    ! [X8,X9,X10,X11] :
      ( ( f(esk2_0)
        | f(esk1_0) )
      & ( ~ g(esk2_0)
        | f(esk1_0) )
      & ( f(esk2_0)
        | g(esk1_0) )
      & ( ~ g(esk2_0)
        | g(esk1_0) )
      & ( f(esk2_0)
        | ~ h(esk1_0) )
      & ( ~ g(esk2_0)
        | ~ h(esk1_0) )
      & ( ~ f(X8)
        | g(X8)
        | ~ f(X9)
        | h(X9) )
      & ( ~ f(X10)
        | ~ h(X10)
        | g(X10) )
      & ( ~ f(X11)
        | ~ g(X11)
        | h(X11) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( f(esk2_0)
    | ~ h(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( h(X1)
    | ~ f(X1)
    | ~ g(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( f(esk2_0)
    | f(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( f(esk2_0)
    | g(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( g(X1)
    | h(X2)
    | ~ f(X1)
    | ~ f(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    f(esk2_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ g(esk2_0)
    | ~ h(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( f(esk1_0)
    | ~ g(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( g(esk1_0)
    | ~ g(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( h(esk2_0)
    | g(X1)
    | ~ f(X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ~ g(esk2_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_4]),c_0_10]),c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( g(X1)
    | ~ f(X1)
    | ~ h(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15,negated_conjecture,
    h(esk2_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_8]),c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_8])]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN920+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 18:18:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.eHrfV0IL9g/E---3.1_30221.p
% 0.20/0.49  # Version: 3.1pre001
% 0.20/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # new_bool_3 with pid 30308 completed with status 0
% 0.20/0.49  # Result found by new_bool_3
% 0.20/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.49  # SAT001_MinMin_p005000_rr_RG with pid 30313 completed with status 0
% 0.20/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 1
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 9
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 9
% 0.20/0.49  # Processed clauses                    : 22
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 22
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 3
% 0.20/0.49  # Backward-rewritten                   : 4
% 0.20/0.49  # Generated clauses                    : 6
% 0.20/0.49  # ...of the previous two non-redundant : 4
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 4
% 0.20/0.49  # Paramodulations                      : 6
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Total rewrite steps                  : 5
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 6
% 0.20/0.49  #    Positive orientable unit clauses  : 2
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 1
% 0.20/0.49  #    Non-unit-clauses                  : 3
% 0.20/0.49  # Current number of unprocessed clauses: 0
% 0.20/0.49  # ...number of literals in the above   : 0
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 16
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 10
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 10
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 4
% 0.20/0.49  # Unit Clause-clause subsumption calls : 3
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 2
% 0.20/0.49  # BW rewrite match successes           : 2
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 684
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.003 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.005 s
% 0.20/0.49  # Maximum resident set size: 1748 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.005 s
% 0.20/0.49  # System time              : 0.004 s
% 0.20/0.49  # Total time               : 0.008 s
% 0.20/0.49  # Maximum resident set size: 1672 pages
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------