TSTP Solution File: SWC189+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC189+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 19:39:47 EDT 2023

% Result   : Theorem 0.23s 0.54s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   74 (  25 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :   87 (  26   ~;  23   |;  22   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   36 (   0 sgn;  20   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ? [X5] :
                        ( ssItem(X5)
                        & ? [X6] :
                            ( ssItem(X6)
                            & ? [X7] :
                                ( ssList(X7)
                                & ? [X8] :
                                    ( ssList(X8)
                                    & X5 != X6
                                    & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X3 ) ) ) )
                    | ! [X9] :
                        ( ssItem(X9)
                       => ! [X10] :
                            ( ssItem(X10)
                           => ! [X11] :
                                ( ssList(X11)
                               => ! [X12] :
                                    ( ssList(X12)
                                   => ( app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) != X1
                                      | X9 = X10 ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6Yo68bEpcI/E---3.1_31534.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)
                          & ? [X6] :
                              ( ssItem(X6)
                              & ? [X7] :
                                  ( ssList(X7)
                                  & ? [X8] :
                                      ( ssList(X8)
                                      & X5 != X6
                                      & app(app(app(X7,cons(X5,nil)),cons(X6,nil)),X8) = X3 ) ) ) )
                      | ! [X9] :
                          ( ssItem(X9)
                         => ! [X10] :
                              ( ssItem(X10)
                             => ! [X11] :
                                  ( ssList(X11)
                                 => ! [X12] :
                                      ( ssList(X12)
                                     => ( app(app(app(X11,cons(X9,nil)),cons(X10,nil)),X12) != X1
                                        | X9 = X10 ) ) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ! [X17,X18,X19,X20] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ( ~ ssItem(X17)
        | ~ ssItem(X18)
        | ~ ssList(X19)
        | ~ ssList(X20)
        | X17 = X18
        | app(app(app(X19,cons(X17,nil)),cons(X18,nil)),X20) != esk3_0 )
      & ssItem(esk5_0)
      & ssItem(esk6_0)
      & ssList(esk7_0)
      & ssList(esk8_0)
      & app(app(app(esk7_0,cons(esk5_0,nil)),cons(esk6_0,nil)),esk8_0) = esk1_0
      & esk5_0 != esk6_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,
    ( X1 = X2
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | app(app(app(X3,cons(X1,nil)),cons(X2,nil)),X4) != esk3_0 ),
    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,
    ( X1 = X2
    | app(app(app(X3,cons(X1,nil)),cons(X2,nil)),X4) != esk1_0
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    app(app(app(esk7_0,cons(esk5_0,nil)),cons(esk6_0,nil)),esk8_0) = esk1_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ssList(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    ssList(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ssItem(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ssItem(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    esk5_0 != esk6_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8]),c_0_9]),c_0_10])]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : SWC189+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n022.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 2400
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Oct  3 01:56:09 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.51  Running first-order theorem proving
% 0.23/0.52  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/tmp/tmp.6Yo68bEpcI/E---3.1_31534.p
% 0.23/0.54  # Version: 3.1pre001
% 0.23/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # Starting sh5l with 300s (1) cores
% 0.23/0.54  # new_bool_1 with pid 31666 completed with status 0
% 0.23/0.54  # Result found by new_bool_1
% 0.23/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.54  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.23/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.23/0.54  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31672 completed with status 0
% 0.23/0.54  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.23/0.54  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.54  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.23/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.23/0.54  # Preprocessing time       : 0.002 s
% 0.23/0.54  # Presaturation interreduction done
% 0.23/0.54  
% 0.23/0.54  # Proof found!
% 0.23/0.54  # SZS status Theorem
% 0.23/0.54  # SZS output start CNFRefutation
% See solution above
% 0.23/0.54  # Parsed axioms                        : 96
% 0.23/0.54  # Removed by relevancy pruning/SinE    : 79
% 0.23/0.54  # Initial clauses                      : 36
% 0.23/0.54  # Removed in clause preprocessing      : 0
% 0.23/0.54  # Initial clauses in saturation        : 36
% 0.23/0.54  # Processed clauses                    : 83
% 0.23/0.54  # ...of these trivial                  : 2
% 0.23/0.54  # ...subsumed                          : 0
% 0.23/0.54  # ...remaining for further processing  : 81
% 0.23/0.54  # Other redundant clauses eliminated   : 6
% 0.23/0.54  # Clauses deleted for lack of memory   : 0
% 0.23/0.54  # Backward-subsumed                    : 4
% 0.23/0.54  # Backward-rewritten                   : 0
% 0.23/0.54  # Generated clauses                    : 98
% 0.23/0.54  # ...of the previous two non-redundant : 80
% 0.23/0.54  # ...aggressively subsumed             : 0
% 0.23/0.54  # Contextual simplify-reflections      : 0
% 0.23/0.54  # Paramodulations                      : 89
% 0.23/0.54  # Factorizations                       : 0
% 0.23/0.54  # NegExts                              : 0
% 0.23/0.54  # Equation resolutions                 : 10
% 0.23/0.54  # Total rewrite steps                  : 56
% 0.23/0.54  # Propositional unsat checks           : 0
% 0.23/0.54  #    Propositional check models        : 0
% 0.23/0.54  #    Propositional check unsatisfiable : 0
% 0.23/0.54  #    Propositional clauses             : 0
% 0.23/0.54  #    Propositional clauses after purity: 0
% 0.23/0.54  #    Propositional unsat core size     : 0
% 0.23/0.54  #    Propositional preprocessing time  : 0.000
% 0.23/0.54  #    Propositional encoding time       : 0.000
% 0.23/0.54  #    Propositional solver time         : 0.000
% 0.23/0.54  #    Success case prop preproc time    : 0.000
% 0.23/0.54  #    Success case prop encoding time   : 0.000
% 0.23/0.54  #    Success case prop solver time     : 0.000
% 0.23/0.54  # Current number of processed clauses  : 42
% 0.23/0.54  #    Positive orientable unit clauses  : 13
% 0.23/0.54  #    Positive unorientable unit clauses: 0
% 0.23/0.54  #    Negative unit clauses             : 2
% 0.23/0.54  #    Non-unit-clauses                  : 27
% 0.23/0.54  # Current number of unprocessed clauses: 64
% 0.23/0.54  # ...number of literals in the above   : 255
% 0.23/0.54  # Current number of archived formulas  : 0
% 0.23/0.54  # Current number of archived clauses   : 38
% 0.23/0.54  # Clause-clause subsumption calls (NU) : 139
% 0.23/0.54  # Rec. Clause-clause subsumption calls : 52
% 0.23/0.54  # Non-unit clause-clause subsumptions  : 4
% 0.23/0.54  # Unit Clause-clause subsumption calls : 0
% 0.23/0.54  # Rewrite failures with RHS unbound    : 0
% 0.23/0.54  # BW rewrite match attempts            : 0
% 0.23/0.54  # BW rewrite match successes           : 0
% 0.23/0.54  # Condensation attempts                : 0
% 0.23/0.54  # Condensation successes               : 0
% 0.23/0.54  # Termbank termtop insertions          : 4960
% 0.23/0.54  
% 0.23/0.54  # -------------------------------------------------
% 0.23/0.54  # User time                : 0.011 s
% 0.23/0.54  # System time              : 0.000 s
% 0.23/0.54  # Total time               : 0.011 s
% 0.23/0.54  # Maximum resident set size: 1904 pages
% 0.23/0.54  
% 0.23/0.54  # -------------------------------------------------
% 0.23/0.54  # User time                : 0.014 s
% 0.23/0.54  # System time              : 0.003 s
% 0.23/0.54  # Total time               : 0.017 s
% 0.23/0.54  # Maximum resident set size: 1804 pages
% 0.23/0.54  % E---3.1 exiting
% 0.23/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------