TSTP Solution File: SWC044+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC044+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 19:41:12 EDT 2023

% Result   : Theorem 0.17s 0.43s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   50 (  22 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   51 (  18   ~;  14   |;   9   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   11 (   0 sgn;  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( nil != X2
                    | X2 != X4
                    | X1 != X3
                    | ~ rearsegP(X4,X3)
                    | nil = X1 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FkwZV52po5/E---3.1_6939.p',co1) ).

fof(ax52,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( rearsegP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.FkwZV52po5/E---3.1_6939.p',ax52) ).

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

fof(c_0_3,negated_conjecture,
    ( ssList(esk1_0)
    & ssList(esk2_0)
    & ssList(esk3_0)
    & ssList(esk4_0)
    & nil = esk2_0
    & esk2_0 = esk4_0
    & esk1_0 = esk3_0
    & rearsegP(esk4_0,esk3_0)
    & nil != esk1_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_4,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

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

fof(c_0_6,plain,
    ! [X30] :
      ( ( ~ rearsegP(nil,X30)
        | nil = X30
        | ~ ssList(X30) )
      & ( nil != X30
        | rearsegP(nil,X30)
        | ~ ssList(X30) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).

cnf(c_0_7,negated_conjecture,
    rearsegP(esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    esk4_0 = nil,
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    nil != esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_12,plain,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    rearsegP(nil,esk3_0),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

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

cnf(c_0_15,negated_conjecture,
    esk3_0 != nil,
    inference(rw,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWC044+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n029.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Oct  3 02:06:23 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.17/0.42  Running first-order model finding
% 0.17/0.42  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.FkwZV52po5/E---3.1_6939.p
% 0.17/0.43  # Version: 3.1pre001
% 0.17/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.43  # Starting sh5l with 300s (1) cores
% 0.17/0.43  # new_bool_3 with pid 7049 completed with status 0
% 0.17/0.43  # Result found by new_bool_3
% 0.17/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.43  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.17/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.43  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.17/0.43  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 7053 completed with status 0
% 0.17/0.43  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.17/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.43  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.17/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.43  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.17/0.43  # Preprocessing time       : 0.001 s
% 0.17/0.43  # Presaturation interreduction done
% 0.17/0.43  
% 0.17/0.43  # Proof found!
% 0.17/0.43  # SZS status Theorem
% 0.17/0.43  # SZS output start CNFRefutation
% See solution above
% 0.17/0.43  # Parsed axioms                        : 96
% 0.17/0.43  # Removed by relevancy pruning/SinE    : 72
% 0.17/0.43  # Initial clauses                      : 42
% 0.17/0.43  # Removed in clause preprocessing      : 0
% 0.17/0.43  # Initial clauses in saturation        : 42
% 0.17/0.43  # Processed clauses                    : 61
% 0.17/0.43  # ...of these trivial                  : 3
% 0.17/0.43  # ...subsumed                          : 0
% 0.17/0.43  # ...remaining for further processing  : 58
% 0.17/0.43  # Other redundant clauses eliminated   : 4
% 0.17/0.43  # Clauses deleted for lack of memory   : 0
% 0.17/0.43  # Backward-subsumed                    : 0
% 0.17/0.43  # Backward-rewritten                   : 1
% 0.17/0.43  # Generated clauses                    : 4
% 0.17/0.43  # ...of the previous two non-redundant : 4
% 0.17/0.43  # ...aggressively subsumed             : 0
% 0.17/0.43  # Contextual simplify-reflections      : 1
% 0.17/0.43  # Paramodulations                      : 1
% 0.17/0.43  # Factorizations                       : 0
% 0.17/0.43  # NegExts                              : 0
% 0.17/0.43  # Equation resolutions                 : 4
% 0.17/0.43  # Total rewrite steps                  : 12
% 0.17/0.43  # Propositional unsat checks           : 0
% 0.17/0.43  #    Propositional check models        : 0
% 0.17/0.43  #    Propositional check unsatisfiable : 0
% 0.17/0.43  #    Propositional clauses             : 0
% 0.17/0.43  #    Propositional clauses after purity: 0
% 0.17/0.43  #    Propositional unsat core size     : 0
% 0.17/0.43  #    Propositional preprocessing time  : 0.000
% 0.17/0.43  #    Propositional encoding time       : 0.000
% 0.17/0.43  #    Propositional solver time         : 0.000
% 0.17/0.43  #    Success case prop preproc time    : 0.000
% 0.17/0.43  #    Success case prop encoding time   : 0.000
% 0.17/0.43  #    Success case prop solver time     : 0.000
% 0.17/0.43  # Current number of processed clauses  : 15
% 0.17/0.43  #    Positive orientable unit clauses  : 10
% 0.17/0.43  #    Positive unorientable unit clauses: 0
% 0.17/0.43  #    Negative unit clauses             : 2
% 0.17/0.43  #    Non-unit-clauses                  : 3
% 0.17/0.43  # Current number of unprocessed clauses: 24
% 0.17/0.43  # ...number of literals in the above   : 92
% 0.17/0.43  # Current number of archived formulas  : 0
% 0.17/0.43  # Current number of archived clauses   : 40
% 0.17/0.43  # Clause-clause subsumption calls (NU) : 110
% 0.17/0.43  # Rec. Clause-clause subsumption calls : 41
% 0.17/0.43  # Non-unit clause-clause subsumptions  : 1
% 0.17/0.43  # Unit Clause-clause subsumption calls : 2
% 0.17/0.43  # Rewrite failures with RHS unbound    : 0
% 0.17/0.43  # BW rewrite match attempts            : 1
% 0.17/0.43  # BW rewrite match successes           : 1
% 0.17/0.43  # Condensation attempts                : 0
% 0.17/0.43  # Condensation successes               : 0
% 0.17/0.43  # Termbank termtop insertions          : 3766
% 0.17/0.43  
% 0.17/0.43  # -------------------------------------------------
% 0.17/0.43  # User time                : 0.005 s
% 0.17/0.43  # System time              : 0.001 s
% 0.17/0.43  # Total time               : 0.006 s
% 0.17/0.43  # Maximum resident set size: 1880 pages
% 0.17/0.43  
% 0.17/0.43  # -------------------------------------------------
% 0.17/0.43  # User time                : 0.008 s
% 0.17/0.43  # System time              : 0.004 s
% 0.17/0.43  # Total time               : 0.012 s
% 0.17/0.43  # Maximum resident set size: 1796 pages
% 0.17/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------