TSTP Solution File: SWC051+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWC051+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:22:48 EDT 2024

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   20 (  10 unt;   0 def)
%            Number of atoms       :   77 (  14 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :   90 (  33   ~;  28   |;  20   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ neq(X2,nil)
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X5,nil)
                        & rearsegP(X2,X5)
                        & rearsegP(X1,X5) )
                    | ( nil != X3
                      & nil = X4 )
                    | ( neq(X4,nil)
                      & ( ~ neq(X3,nil)
                        | ~ rearsegP(X4,X3) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax49,axiom,
    ! [X1] :
      ( ssList(X1)
     => rearsegP(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax49) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ neq(X2,nil)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X5,nil)
                          & rearsegP(X2,X5)
                          & rearsegP(X1,X5) )
                      | ( nil != X3
                        & nil = X4 )
                      | ( neq(X4,nil)
                        & ( ~ neq(X3,nil)
                          | ~ rearsegP(X4,X3) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_3,negated_conjecture,
    ! [X11] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & neq(esk2_0,nil)
      & ( ~ ssList(X11)
        | ~ neq(X11,nil)
        | ~ rearsegP(esk2_0,X11)
        | ~ rearsegP(esk1_0,X11) )
      & ( nil = esk3_0
        | nil != esk4_0 )
      & ( neq(esk3_0,nil)
        | ~ neq(esk4_0,nil) )
      & ( rearsegP(esk4_0,esk3_0)
        | ~ neq(esk4_0,nil) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).

cnf(c_0_4,negated_conjecture,
    neq(esk2_0,nil),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ rearsegP(esk2_0,X1)
    | ~ rearsegP(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    ( neq(esk3_0,nil)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    neq(esk4_0,nil),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ( rearsegP(esk4_0,esk3_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ rearsegP(esk3_0,X1)
    | ~ rearsegP(esk4_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    neq(esk3_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

cnf(c_0_14,negated_conjecture,
    rearsegP(esk4_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9])]) ).

cnf(c_0_15,negated_conjecture,
    ssList(esk3_0),
    inference(rw,[status(thm)],[c_0_11,c_0_7]) ).

fof(c_0_16,plain,
    ! [X21] :
      ( ~ ssList(X21)
      | rearsegP(X21,X21) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])])]) ).

cnf(c_0_17,negated_conjecture,
    ~ rearsegP(esk3_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]) ).

cnf(c_0_18,plain,
    ( rearsegP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC051+1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.14  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n008.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   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 02:48:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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/benchmark/theBenchmark.p
% 0.19/0.49  # Version: 3.1.0
% 0.19/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # new_bool_3 with pid 26066 completed with status 0
% 0.19/0.49  # Result found by new_bool_3
% 0.19/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.19/0.49  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 26069 completed with status 0
% 0.19/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.19/0.49  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.002 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Theorem
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 96
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 70
% 0.19/0.49  # Initial clauses                      : 48
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 48
% 0.19/0.49  # Processed clauses                    : 76
% 0.19/0.49  # ...of these trivial                  : 2
% 0.19/0.49  # ...subsumed                          : 0
% 0.19/0.49  # ...remaining for further processing  : 74
% 0.19/0.49  # Other redundant clauses eliminated   : 6
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 0
% 0.19/0.49  # Backward-rewritten                   : 0
% 0.19/0.49  # Generated clauses                    : 8
% 0.19/0.49  # ...of the previous two non-redundant : 7
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 1
% 0.19/0.49  # Paramodulations                      : 3
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 6
% 0.19/0.49  # Disequality decompositions           : 0
% 0.19/0.49  # Total rewrite steps                  : 15
% 0.19/0.49  # ...of those cached                   : 8
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 23
% 0.19/0.49  #    Positive orientable unit clauses  : 12
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 2
% 0.19/0.49  #    Non-unit-clauses                  : 9
% 0.19/0.49  # Current number of unprocessed clauses: 25
% 0.19/0.49  # ...number of literals in the above   : 97
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 46
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 123
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 43
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 1
% 0.19/0.49  # Unit Clause-clause subsumption calls : 2
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 0
% 0.19/0.49  # BW rewrite match successes           : 0
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 4894
% 0.19/0.49  # Search garbage collected termcells   : 1508
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.007 s
% 0.19/0.49  # System time              : 0.001 s
% 0.19/0.49  # Total time               : 0.009 s
% 0.19/0.49  # Maximum resident set size: 1904 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.011 s
% 0.19/0.49  # System time              : 0.004 s
% 0.19/0.49  # Total time               : 0.014 s
% 0.19/0.49  # Maximum resident set size: 1820 pages
% 0.19/0.49  % E---3.1 exiting
% 0.19/0.49  % E exiting
%------------------------------------------------------------------------------