TSTP Solution File: SWC205+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWC205+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 19:42:01 EDT 2023

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (  14 unt;   0 def)
%            Number of atoms       :   68 (  28 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   74 (  27   ~;  22   |;  14   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   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   :   14 (   0 sgn;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ neq(X2,nil)
                    | neq(X1,nil)
                    | ( nil != X4
                      & nil = X3 )
                    | ( nil != X3
                      & nil = X4 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.SbndBMTX1z/E---3.1_13400.p',co1) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.SbndBMTX1z/E---3.1_13400.p',ax15) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.SbndBMTX1z/E---3.1_13400.p',ax17) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ neq(X2,nil)
                      | neq(X1,nil)
                      | ( nil != X4
                        & nil = X3 )
                      | ( nil != X3
                        & nil = X4 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_4,negated_conjecture,
    ( ssList(esk1_0)
    & ssList(esk2_0)
    & ssList(esk3_0)
    & ssList(esk4_0)
    & esk2_0 = esk4_0
    & esk1_0 = esk3_0
    & neq(esk2_0,nil)
    & ~ neq(esk1_0,nil)
    & ( nil = esk4_0
      | nil != esk3_0 )
    & ( nil = esk3_0
      | nil != esk4_0 ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_5,negated_conjecture,
    ~ neq(esk1_0,nil),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ! [X18,X19] :
      ( ( ~ neq(X18,X19)
        | X18 != X19
        | ~ ssList(X19)
        | ~ ssList(X18) )
      & ( X18 = X19
        | neq(X18,X19)
        | ~ ssList(X19)
        | ~ ssList(X18) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

cnf(c_0_8,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ~ neq(esk3_0,nil),
    inference(rw,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_10,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_12,negated_conjecture,
    ssList(esk3_0),
    inference(rw,[status(thm)],[c_0_8,c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    neq(esk2_0,nil),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_14,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_15,negated_conjecture,
    ( nil = esk4_0
    | nil != esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_16,negated_conjecture,
    esk3_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]) ).

cnf(c_0_17,negated_conjecture,
    neq(esk4_0,nil),
    inference(rw,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    esk4_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).

cnf(c_0_19,negated_conjecture,
    ~ neq(nil,nil),
    inference(rw,[status(thm)],[c_0_9,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC205+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n029.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
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 02:21:22 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.SbndBMTX1z/E---3.1_13400.p
% 0.20/0.50  # Version: 3.1pre001
% 0.20/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 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_1 with pid 13511 completed with status 0
% 0.20/0.50  # Result found by new_bool_1
% 0.20/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 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  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.20/0.50  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 13515 completed with status 0
% 0.20/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 0.20/0.50  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 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  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FGHSF-FFMM21-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.002 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                        : 96
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 77
% 0.20/0.50  # Initial clauses                      : 37
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 37
% 0.20/0.50  # Processed clauses                    : 75
% 0.20/0.50  # ...of these trivial                  : 2
% 0.20/0.50  # ...subsumed                          : 0
% 0.20/0.50  # ...remaining for further processing  : 72
% 0.20/0.50  # Other redundant clauses eliminated   : 6
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 0
% 0.20/0.50  # Backward-rewritten                   : 9
% 0.20/0.50  # Generated clauses                    : 19
% 0.20/0.50  # ...of the previous two non-redundant : 16
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 0
% 0.20/0.50  # Paramodulations                      : 13
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 7
% 0.20/0.50  # Total rewrite steps                  : 33
% 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  : 25
% 0.20/0.50  #    Positive orientable unit clauses  : 8
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 2
% 0.20/0.50  #    Non-unit-clauses                  : 15
% 0.20/0.50  # Current number of unprocessed clauses: 13
% 0.20/0.50  # ...number of literals in the above   : 51
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 44
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 213
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 83
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.50  # Unit Clause-clause subsumption calls : 7
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 2
% 0.20/0.50  # BW rewrite match successes           : 2
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 3654
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.008 s
% 0.20/0.50  # System time              : 0.002 s
% 0.20/0.50  # Total time               : 0.010 s
% 0.20/0.50  # Maximum resident set size: 1968 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.010 s
% 0.20/0.50  # System time              : 0.005 s
% 0.20/0.50  # Total time               : 0.015 s
% 0.20/0.50  # Maximum resident set size: 1792 pages
% 0.20/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------