TSTP Solution File: SYN980+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN980+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 20:27:41 EDT 2023

% Result   : Theorem 0.20s 0.52s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   34 (  11   ~;  10   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (   3 sgn;   7   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ! [X1] :
      ( ! [X2] :
          ( ( r(X1)
           => r(X2) )
         => p(f(X2),X2) )
     => ? [X3,X2] :
          ( p(X3,X2)
          & ( q(f(X1),X1)
           => q(X3,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.EJAufTXgti/E---3.1_20171.p',prove_this) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1] :
        ( ! [X2] :
            ( ( r(X1)
             => r(X2) )
           => p(f(X2),X2) )
       => ? [X3,X2] :
            ( p(X3,X2)
            & ( q(f(X1),X1)
             => q(X3,X2) ) ) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
    ! [X5,X6,X7] :
      ( ( r(esk1_0)
        | p(f(X5),X5) )
      & ( ~ r(X5)
        | p(f(X5),X5) )
      & ( q(f(esk1_0),esk1_0)
        | ~ p(X6,X7) )
      & ( ~ q(X6,X7)
        | ~ p(X6,X7) ) ),
    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,
    ( q(f(esk1_0),esk1_0)
    | ~ p(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( r(esk1_0)
    | p(f(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( p(f(X1),X1)
    | ~ r(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ q(X1,X2)
    | ~ p(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( q(f(esk1_0),esk1_0)
    | r(esk1_0) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( q(f(esk1_0),esk1_0)
    | ~ r(X1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    r(esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    q(f(esk1_0),esk1_0),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,negated_conjecture,
    ~ p(f(esk1_0),esk1_0),
    inference(spm,[status(thm)],[c_0_6,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_5]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN980+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 18:22:22 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  Running first-order theorem proving
% 0.20/0.51  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.EJAufTXgti/E---3.1_20171.p
% 0.20/0.52  # Version: 3.1pre001
% 0.20/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # Starting sh5l with 300s (1) cores
% 0.20/0.52  # new_bool_1 with pid 20274 completed with status 0
% 0.20/0.52  # Result found by new_bool_1
% 0.20/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.52  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.20/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.52  # SAT001_MinMin_p005000_rr_RG with pid 20280 completed with status 0
% 0.20/0.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.52  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.20/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.52  # Preprocessing time       : 0.001 s
% 0.20/0.52  # Presaturation interreduction done
% 0.20/0.52  
% 0.20/0.52  # Proof found!
% 0.20/0.52  # SZS status Theorem
% 0.20/0.52  # SZS output start CNFRefutation
% See solution above
% 0.20/0.52  # Parsed axioms                        : 1
% 0.20/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.52  # Initial clauses                      : 4
% 0.20/0.52  # Removed in clause preprocessing      : 0
% 0.20/0.52  # Initial clauses in saturation        : 4
% 0.20/0.52  # Processed clauses                    : 13
% 0.20/0.52  # ...of these trivial                  : 0
% 0.20/0.52  # ...subsumed                          : 0
% 0.20/0.52  # ...remaining for further processing  : 13
% 0.20/0.52  # Other redundant clauses eliminated   : 0
% 0.20/0.52  # Clauses deleted for lack of memory   : 0
% 0.20/0.52  # Backward-subsumed                    : 0
% 0.20/0.52  # Backward-rewritten                   : 4
% 0.20/0.52  # Generated clauses                    : 6
% 0.20/0.52  # ...of the previous two non-redundant : 5
% 0.20/0.52  # ...aggressively subsumed             : 0
% 0.20/0.52  # Contextual simplify-reflections      : 1
% 0.20/0.52  # Paramodulations                      : 6
% 0.20/0.52  # Factorizations                       : 0
% 0.20/0.52  # NegExts                              : 0
% 0.20/0.52  # Equation resolutions                 : 0
% 0.20/0.52  # Total rewrite steps                  : 5
% 0.20/0.52  # Propositional unsat checks           : 0
% 0.20/0.52  #    Propositional check models        : 0
% 0.20/0.52  #    Propositional check unsatisfiable : 0
% 0.20/0.52  #    Propositional clauses             : 0
% 0.20/0.52  #    Propositional clauses after purity: 0
% 0.20/0.52  #    Propositional unsat core size     : 0
% 0.20/0.52  #    Propositional preprocessing time  : 0.000
% 0.20/0.52  #    Propositional encoding time       : 0.000
% 0.20/0.52  #    Propositional solver time         : 0.000
% 0.20/0.52  #    Success case prop preproc time    : 0.000
% 0.20/0.52  #    Success case prop encoding time   : 0.000
% 0.20/0.52  #    Success case prop solver time     : 0.000
% 0.20/0.52  # Current number of processed clauses  : 5
% 0.20/0.52  #    Positive orientable unit clauses  : 2
% 0.20/0.52  #    Positive unorientable unit clauses: 0
% 0.20/0.52  #    Negative unit clauses             : 1
% 0.20/0.52  #    Non-unit-clauses                  : 2
% 0.20/0.52  # Current number of unprocessed clauses: 0
% 0.20/0.52  # ...number of literals in the above   : 0
% 0.20/0.52  # Current number of archived formulas  : 0
% 0.20/0.52  # Current number of archived clauses   : 8
% 0.20/0.52  # Clause-clause subsumption calls (NU) : 1
% 0.20/0.52  # Rec. Clause-clause subsumption calls : 1
% 0.20/0.52  # Non-unit clause-clause subsumptions  : 1
% 0.20/0.52  # Unit Clause-clause subsumption calls : 1
% 0.20/0.52  # Rewrite failures with RHS unbound    : 0
% 0.20/0.52  # BW rewrite match attempts            : 2
% 0.20/0.52  # BW rewrite match successes           : 2
% 0.20/0.52  # Condensation attempts                : 0
% 0.20/0.52  # Condensation successes               : 0
% 0.20/0.52  # Termbank termtop insertions          : 340
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.004 s
% 0.20/0.52  # System time              : 0.000 s
% 0.20/0.52  # Total time               : 0.004 s
% 0.20/0.52  # Maximum resident set size: 1728 pages
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.004 s
% 0.20/0.52  # System time              : 0.003 s
% 0.20/0.52  # Total time               : 0.007 s
% 0.20/0.52  # Maximum resident set size: 1668 pages
% 0.20/0.52  % E---3.1 exiting
% 0.20/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------