TSTP Solution File: SYN066+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:13:23 EDT 2023

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   8 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   27 (  10   ~;   8   |;   4   &)
%                                         (   0 <=>;   5  =>;   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    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   42 (   8 sgn;  17   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel37_2,axiom,
    ! [X3,X1] :
      ( ~ big_p(X3,X1)
     => ? [X4] : big_q(X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zTKr19lrul/E---3.1_29323.p',pel37_2) ).

fof(pel37,conjecture,
    ! [X3] :
    ? [X4] : big_r(X3,X4),
    file('/export/starexec/sandbox/tmp/tmp.zTKr19lrul/E---3.1_29323.p',pel37) ).

fof(pel37_3,axiom,
    ( ? [X3,X4] : big_q(X3,X4)
   => ! [X1] : big_r(X1,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.zTKr19lrul/E---3.1_29323.p',pel37_3) ).

fof(pel37_1,axiom,
    ! [X1] :
    ? [X2] :
    ! [X3] :
    ? [X4] :
      ( ( big_p(X3,X1)
       => big_p(X4,X2) )
      & big_p(X4,X1)
      & ( big_p(X4,X2)
       => ? [X5] : big_q(X5,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zTKr19lrul/E---3.1_29323.p',pel37_1) ).

fof(c_0_4,plain,
    ! [X3,X1] :
      ( ~ big_p(X3,X1)
     => ? [X4] : big_q(X4,X1) ),
    inference(fof_simplification,[status(thm)],[pel37_2]) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X3] :
      ? [X4] : big_r(X3,X4),
    inference(assume_negation,[status(cth)],[pel37]) ).

fof(c_0_6,plain,
    ! [X8,X9,X10] :
      ( ~ big_q(X8,X9)
      | big_r(X10,X10) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel37_3])])]) ).

fof(c_0_7,plain,
    ! [X16,X17] :
      ( big_p(X16,X17)
      | big_q(esk5_2(X16,X17),X17) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_8,negated_conjecture,
    ! [X7] : ~ big_r(esk1_0,X7),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_9,plain,
    ( big_r(X3,X3)
    | ~ big_q(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( big_p(X1,X2)
    | big_q(esk5_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X11,X13] :
      ( ( ~ big_p(X13,X11)
        | big_p(esk3_2(X11,X13),esk2_1(X11)) )
      & big_p(esk3_2(X11,X13),X11)
      & ( ~ big_p(esk3_2(X11,X13),esk2_1(X11))
        | big_q(esk4_2(X11,X13),esk2_1(X11)) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel37_1])])]) ).

cnf(c_0_12,negated_conjecture,
    ~ big_r(esk1_0,X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( big_r(X1,X1)
    | big_p(X2,X3) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( big_q(esk4_2(X1,X2),esk2_1(X1))
    | ~ big_p(esk3_2(X1,X2),esk2_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    big_p(X1,X2),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    big_q(esk4_2(X1,X2),esk2_1(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

cnf(c_0_17,plain,
    big_r(X1,X1),
    inference(spm,[status(thm)],[c_0_9,c_0_16]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_12,c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n022.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 18:49:09 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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/tmp/tmp.zTKr19lrul/E---3.1_29323.p
% 0.20/0.50  # Version: 3.1pre001
% 0.20/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_3 with pid 29403 completed with status 0
% 0.20/0.50  # Result found by new_bool_3
% 0.20/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGUNF-FFSF21-SFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.50  # SAT001_MinMin_p005000_rr_RG with pid 29410 completed with status 0
% 0.20/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGUNF-FFSF21-SFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 4
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.50  # Initial clauses                      : 6
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 6
% 0.20/0.50  # Processed clauses                    : 16
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 0
% 0.20/0.50  # ...remaining for further processing  : 16
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 1
% 0.20/0.50  # Backward-rewritten                   : 5
% 0.20/0.50  # Generated clauses                    : 5
% 0.20/0.50  # ...of the previous two non-redundant : 5
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 0
% 0.20/0.50  # Paramodulations                      : 5
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Total rewrite steps                  : 6
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 4
% 0.20/0.50  #    Positive orientable unit clauses  : 3
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 1
% 0.20/0.50  #    Non-unit-clauses                  : 0
% 0.20/0.50  # Current number of unprocessed clauses: 0
% 0.20/0.50  # ...number of literals in the above   : 0
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 12
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.50  # Unit Clause-clause subsumption calls : 1
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 7
% 0.20/0.50  # BW rewrite match successes           : 6
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 411
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.002 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.006 s
% 0.20/0.50  # Maximum resident set size: 1748 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.003 s
% 0.20/0.50  # System time              : 0.005 s
% 0.20/0.50  # Total time               : 0.009 s
% 0.20/0.50  # Maximum resident set size: 1680 pages
% 0.20/0.50  % E---3.1 exiting
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------