TSTP Solution File: SWC411+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC411+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 19:43:03 EDT 2023

% Result   : Theorem 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   49 (   8 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :   54 (  17   ~;  14   |;  13   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 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   :   15 (   0 sgn;  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ? [X5] :
                        ( ssItem(X5)
                        & ~ memberP(X3,X5)
                        & memberP(X4,X5) )
                    | ! [X6] :
                        ( ssItem(X6)
                       => ( ~ memberP(X2,X6)
                          | memberP(X1,X6) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Gu9j7f4hcd/E---3.1_12046.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ? [X5] :
                          ( ssItem(X5)
                          & ~ memberP(X3,X5)
                          & memberP(X4,X5) )
                      | ! [X6] :
                          ( ssItem(X6)
                         => ( ~ memberP(X2,X6)
                            | memberP(X1,X6) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [X11] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ( ~ ssItem(X11)
        | memberP(esk3_0,X11)
        | ~ memberP(esk4_0,X11) )
      & ssItem(esk5_0)
      & memberP(esk2_0,esk5_0)
      & ~ memberP(esk1_0,esk5_0) ),
    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,
    ( memberP(esk3_0,X1)
    | ~ ssItem(X1)
    | ~ memberP(esk4_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    memberP(esk2_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( memberP(esk1_0,X1)
    | ~ memberP(esk4_0,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    memberP(esk4_0,esk5_0),
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ssItem(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ~ memberP(esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWC411+1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n017.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 01:27:11 EDT 2023
% 0.15/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  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.Gu9j7f4hcd/E---3.1_12046.p
% 0.15/0.43  # Version: 3.1pre001
% 0.15/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # new_bool_1 with pid 12128 completed with status 0
% 0.15/0.43  # Result found by new_bool_1
% 0.15/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.43  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12131 completed with status 0
% 0.15/0.43  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.43  # Preprocessing time       : 0.001 s
% 0.15/0.43  # Presaturation interreduction done
% 0.15/0.43  
% 0.15/0.43  # Proof found!
% 0.15/0.43  # SZS status Theorem
% 0.15/0.43  # SZS output start CNFRefutation
% See solution above
% 0.15/0.43  # Parsed axioms                        : 96
% 0.15/0.43  # Removed by relevancy pruning/SinE    : 75
% 0.15/0.43  # Initial clauses                      : 44
% 0.15/0.43  # Removed in clause preprocessing      : 0
% 0.15/0.43  # Initial clauses in saturation        : 44
% 0.15/0.43  # Processed clauses                    : 60
% 0.15/0.43  # ...of these trivial                  : 2
% 0.15/0.43  # ...subsumed                          : 0
% 0.15/0.43  # ...remaining for further processing  : 58
% 0.15/0.43  # Other redundant clauses eliminated   : 4
% 0.15/0.43  # Clauses deleted for lack of memory   : 0
% 0.15/0.43  # Backward-subsumed                    : 0
% 0.15/0.43  # Backward-rewritten                   : 0
% 0.15/0.43  # Generated clauses                    : 4
% 0.15/0.43  # ...of the previous two non-redundant : 3
% 0.15/0.43  # ...aggressively subsumed             : 0
% 0.15/0.43  # Contextual simplify-reflections      : 0
% 0.15/0.43  # Paramodulations                      : 1
% 0.15/0.43  # Factorizations                       : 0
% 0.15/0.43  # NegExts                              : 0
% 0.15/0.43  # Equation resolutions                 : 4
% 0.15/0.43  # Total rewrite steps                  : 8
% 0.15/0.43  # Propositional unsat checks           : 0
% 0.15/0.43  #    Propositional check models        : 0
% 0.15/0.43  #    Propositional check unsatisfiable : 0
% 0.15/0.43  #    Propositional clauses             : 0
% 0.15/0.43  #    Propositional clauses after purity: 0
% 0.15/0.43  #    Propositional unsat core size     : 0
% 0.15/0.43  #    Propositional preprocessing time  : 0.000
% 0.15/0.43  #    Propositional encoding time       : 0.000
% 0.15/0.43  #    Propositional solver time         : 0.000
% 0.15/0.43  #    Success case prop preproc time    : 0.000
% 0.15/0.43  #    Success case prop encoding time   : 0.000
% 0.15/0.43  #    Success case prop solver time     : 0.000
% 0.15/0.43  # Current number of processed clauses  : 13
% 0.15/0.43  #    Positive orientable unit clauses  : 9
% 0.15/0.43  #    Positive unorientable unit clauses: 0
% 0.15/0.43  #    Negative unit clauses             : 2
% 0.15/0.43  #    Non-unit-clauses                  : 2
% 0.15/0.43  # Current number of unprocessed clauses: 29
% 0.15/0.43  # ...number of literals in the above   : 114
% 0.15/0.43  # Current number of archived formulas  : 0
% 0.15/0.43  # Current number of archived clauses   : 42
% 0.15/0.43  # Clause-clause subsumption calls (NU) : 104
% 0.15/0.43  # Rec. Clause-clause subsumption calls : 24
% 0.15/0.43  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.43  # Unit Clause-clause subsumption calls : 1
% 0.15/0.43  # Rewrite failures with RHS unbound    : 0
% 0.15/0.43  # BW rewrite match attempts            : 0
% 0.15/0.43  # BW rewrite match successes           : 0
% 0.15/0.43  # Condensation attempts                : 0
% 0.15/0.43  # Condensation successes               : 0
% 0.15/0.43  # Termbank termtop insertions          : 4049
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.006 s
% 0.15/0.43  # System time              : 0.001 s
% 0.15/0.43  # Total time               : 0.007 s
% 0.15/0.43  # Maximum resident set size: 1900 pages
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.010 s
% 0.15/0.43  # System time              : 0.001 s
% 0.15/0.43  # Total time               : 0.012 s
% 0.15/0.43  # Maximum resident set size: 1800 pages
% 0.15/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------