TSTP Solution File: SYO580+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 20:49:06 EDT 2023

% Result   : Theorem 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :   79 (  25   ~;  23   |;  21   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   23 (   0 sgn;  13   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals_886,conjecture,
    ( ! [X1056] :
        ( b48_buttercup10305(X1056)
      <=> k04_buttercup10303(X1056) )
    | ( ! [X1057] :
          ( k04_buttercup10303(X1057)
         => b48_buttercup10305(X1057) )
      & ? [X1058] :
          ( b48_buttercup10305(X1058)
          & ~ k04_buttercup10303(X1058) ) )
    | ( ! [X1059] :
          ( b48_buttercup10305(X1059)
         => k04_buttercup10303(X1059) )
      & ? [X1060] :
          ( k04_buttercup10303(X1060)
          & ~ b48_buttercup10305(X1060) ) )
    | ! [X1061] :
        ( b48_buttercup10305(X1061)
       => ~ k04_buttercup10303(X1061) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.S7YYJbjo4W/E---3.1_21634.p',goals_886) ).

fof(sos_320,axiom,
    ( ! [X320] :
        ( b48_buttercup10305(X320)
       => k04_buttercup10303(X320) )
    & ? [X321] :
        ( k04_buttercup10303(X321)
        & ~ b48_buttercup10305(X321) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.S7YYJbjo4W/E---3.1_21634.p',sos_320) ).

fof(c_0_2,negated_conjecture,
    ~ ( ! [X1056] :
          ( b48_buttercup10305(X1056)
        <=> k04_buttercup10303(X1056) )
      | ( ! [X1057] :
            ( k04_buttercup10303(X1057)
           => b48_buttercup10305(X1057) )
        & ? [X1058] :
            ( b48_buttercup10305(X1058)
            & ~ k04_buttercup10303(X1058) ) )
      | ( ! [X1059] :
            ( b48_buttercup10305(X1059)
           => k04_buttercup10303(X1059) )
        & ? [X1060] :
            ( k04_buttercup10303(X1060)
            & ~ b48_buttercup10305(X1060) ) )
      | ! [X1061] :
          ( b48_buttercup10305(X1061)
         => ~ k04_buttercup10303(X1061) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals_886])]) ).

fof(c_0_3,plain,
    ( ! [X320] :
        ( b48_buttercup10305(X320)
       => k04_buttercup10303(X320) )
    & ? [X321] :
        ( k04_buttercup10303(X321)
        & ~ b48_buttercup10305(X321) ) ),
    inference(fof_simplification,[status(thm)],[sos_320]) ).

fof(c_0_4,negated_conjecture,
    ! [X1064,X1066] :
      ( ( ~ b48_buttercup10305(esk1_0)
        | ~ k04_buttercup10303(esk1_0) )
      & ( b48_buttercup10305(esk1_0)
        | k04_buttercup10303(esk1_0) )
      & ( k04_buttercup10303(esk2_0)
        | ~ b48_buttercup10305(X1064)
        | k04_buttercup10303(X1064) )
      & ( ~ b48_buttercup10305(esk2_0)
        | ~ b48_buttercup10305(X1064)
        | k04_buttercup10303(X1064) )
      & ( b48_buttercup10305(esk3_0)
        | ~ k04_buttercup10303(X1066)
        | b48_buttercup10305(X1066) )
      & ( ~ k04_buttercup10303(esk3_0)
        | ~ k04_buttercup10303(X1066)
        | b48_buttercup10305(X1066) )
      & b48_buttercup10305(esk4_0)
      & k04_buttercup10303(esk4_0) ),
    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_2])])])])]) ).

fof(c_0_5,plain,
    ! [X1072] :
      ( ( ~ b48_buttercup10305(X1072)
        | k04_buttercup10303(X1072) )
      & k04_buttercup10303(esk6_0)
      & ~ b48_buttercup10305(esk6_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,negated_conjecture,
    ( b48_buttercup10305(esk3_0)
    | b48_buttercup10305(X1)
    | ~ k04_buttercup10303(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    k04_buttercup10303(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ~ b48_buttercup10305(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( k04_buttercup10303(X1)
    | ~ b48_buttercup10305(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    b48_buttercup10305(esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ( b48_buttercup10305(X1)
    | ~ k04_buttercup10303(esk3_0)
    | ~ k04_buttercup10303(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,negated_conjecture,
    k04_buttercup10303(esk3_0),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( b48_buttercup10305(X1)
    | ~ k04_buttercup10303(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYO580+1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n025.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 16:24:51 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.S7YYJbjo4W/E---3.1_21634.p
% 0.21/0.52  # Version: 3.1pre001
% 0.21/0.52  # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.21/0.52  # Starting new_bool_3 with 600s (2) cores
% 0.21/0.52  # Starting new_bool_1 with 600s (2) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # new_bool_1 with pid 21748 completed with status 0
% 0.21/0.52  # Result found by new_bool_1
% 0.21/0.52  # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.21/0.52  # Starting new_bool_3 with 600s (2) cores
% 0.21/0.52  # Starting new_bool_1 with 600s (2) cores
% 0.21/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.52  # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.21/0.52  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.21/0.52  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 361s (1) cores
% 0.21/0.52  # Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 61s (1) cores
% 0.21/0.52  # G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 21753 completed with status 0
% 0.21/0.52  # Result found by G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.21/0.52  # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.21/0.52  # Starting new_bool_3 with 600s (2) cores
% 0.21/0.52  # Starting new_bool_1 with 600s (2) cores
% 0.21/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.52  # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.21/0.52  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.21/0.52  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 361s (1) cores
% 0.21/0.52  # Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 61s (1) cores
% 0.21/0.52  # Preprocessing time       : 0.002 s
% 0.21/0.52  # Presaturation interreduction done
% 0.21/0.52  
% 0.21/0.52  # Proof found!
% 0.21/0.52  # SZS status Theorem
% 0.21/0.52  # SZS output start CNFRefutation
% See solution above
% 0.21/0.52  # Parsed axioms                        : 886
% 0.21/0.52  # Removed by relevancy pruning/SinE    : 874
% 0.21/0.52  # Initial clauses                      : 24
% 0.21/0.52  # Removed in clause preprocessing      : 0
% 0.21/0.52  # Initial clauses in saturation        : 24
% 0.21/0.52  # Processed clauses                    : 60
% 0.21/0.52  # ...of these trivial                  : 0
% 0.21/0.52  # ...subsumed                          : 3
% 0.21/0.52  # ...remaining for further processing  : 57
% 0.21/0.52  # Other redundant clauses eliminated   : 0
% 0.21/0.52  # Clauses deleted for lack of memory   : 0
% 0.21/0.52  # Backward-subsumed                    : 0
% 0.21/0.52  # Backward-rewritten                   : 3
% 0.21/0.52  # Generated clauses                    : 24
% 0.21/0.52  # ...of the previous two non-redundant : 17
% 0.21/0.52  # ...aggressively subsumed             : 0
% 0.21/0.52  # Contextual simplify-reflections      : 0
% 0.21/0.52  # Paramodulations                      : 24
% 0.21/0.52  # Factorizations                       : 0
% 0.21/0.52  # NegExts                              : 0
% 0.21/0.52  # Equation resolutions                 : 0
% 0.21/0.52  # Total rewrite steps                  : 8
% 0.21/0.52  # Propositional unsat checks           : 0
% 0.21/0.52  #    Propositional check models        : 0
% 0.21/0.52  #    Propositional check unsatisfiable : 0
% 0.21/0.52  #    Propositional clauses             : 0
% 0.21/0.52  #    Propositional clauses after purity: 0
% 0.21/0.52  #    Propositional unsat core size     : 0
% 0.21/0.52  #    Propositional preprocessing time  : 0.000
% 0.21/0.52  #    Propositional encoding time       : 0.000
% 0.21/0.52  #    Propositional solver time         : 0.000
% 0.21/0.52  #    Success case prop preproc time    : 0.000
% 0.21/0.52  #    Success case prop encoding time   : 0.000
% 0.21/0.52  #    Success case prop solver time     : 0.000
% 0.21/0.52  # Current number of processed clauses  : 32
% 0.21/0.52  #    Positive orientable unit clauses  : 21
% 0.21/0.52  #    Positive unorientable unit clauses: 0
% 0.21/0.52  #    Negative unit clauses             : 3
% 0.21/0.52  #    Non-unit-clauses                  : 8
% 0.21/0.52  # Current number of unprocessed clauses: 3
% 0.21/0.52  # ...number of literals in the above   : 6
% 0.21/0.52  # Current number of archived formulas  : 0
% 0.21/0.52  # Current number of archived clauses   : 25
% 0.21/0.52  # Clause-clause subsumption calls (NU) : 11
% 0.21/0.52  # Rec. Clause-clause subsumption calls : 11
% 0.21/0.52  # Non-unit clause-clause subsumptions  : 3
% 0.21/0.52  # Unit Clause-clause subsumption calls : 4
% 0.21/0.52  # Rewrite failures with RHS unbound    : 0
% 0.21/0.52  # BW rewrite match attempts            : 2
% 0.21/0.52  # BW rewrite match successes           : 2
% 0.21/0.52  # Condensation attempts                : 0
% 0.21/0.52  # Condensation successes               : 0
% 0.21/0.52  # Termbank termtop insertions          : 6624
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.006 s
% 0.21/0.52  # System time              : 0.006 s
% 0.21/0.52  # Total time               : 0.012 s
% 0.21/0.52  # Maximum resident set size: 3860 pages
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.016 s
% 0.21/0.52  # System time              : 0.014 s
% 0.21/0.52  # Total time               : 0.030 s
% 0.21/0.52  # Maximum resident set size: 3096 pages
% 0.21/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------