TSTP Solution File: SWC185+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC185+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 19:39:46 EDT 2023

% Result   : Theorem 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   79 (  18 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :   97 (  33   ~;  28   |;  22   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn;  17   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ? [X5] :
                        ( ssItem(X5)
                        & ? [X6] :
                            ( ssList(X6)
                            & ? [X7] :
                                ( ssList(X7)
                                & app(app(X6,cons(X5,nil)),X7) = X3
                                & ( memberP(X6,X5)
                                  | memberP(X7,X5) ) ) ) )
                    | ! [X8] :
                        ( ssItem(X8)
                       => ! [X9] :
                            ( ssList(X9)
                           => ! [X10] :
                                ( ssList(X10)
                               => ( app(app(X9,cons(X8,nil)),X10) != X1
                                  | ( ~ memberP(X9,X8)
                                    & ~ memberP(X10,X8) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.iBTnj3YxJa/E---3.1_3640.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] :
                              ( ssList(X6)
                              & ? [X7] :
                                  ( ssList(X7)
                                  & app(app(X6,cons(X5,nil)),X7) = X3
                                  & ( memberP(X6,X5)
                                    | memberP(X7,X5) ) ) ) )
                      | ! [X8] :
                          ( ssItem(X8)
                         => ! [X9] :
                              ( ssList(X9)
                             => ! [X10] :
                                  ( ssList(X10)
                                 => ( app(app(X9,cons(X8,nil)),X10) != X1
                                    | ( ~ memberP(X9,X8)
                                      & ~ memberP(X10,X8) ) ) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [X15,X16,X17] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ( ~ memberP(X16,X15)
        | ~ ssList(X17)
        | app(app(X16,cons(X15,nil)),X17) != esk3_0
        | ~ ssList(X16)
        | ~ ssItem(X15) )
      & ( ~ memberP(X17,X15)
        | ~ ssList(X17)
        | app(app(X16,cons(X15,nil)),X17) != esk3_0
        | ~ ssList(X16)
        | ~ ssItem(X15) )
      & ssItem(esk5_0)
      & ssList(esk6_0)
      & ssList(esk7_0)
      & app(app(esk6_0,cons(esk5_0,nil)),esk7_0) = esk1_0
      & ( memberP(esk6_0,esk5_0)
        | memberP(esk7_0,esk5_0) ) ),
    inference(distribute,[status(thm)],[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,
    app(app(esk6_0,cons(esk5_0,nil)),esk7_0) = esk1_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,
    ( ~ memberP(X1,X2)
    | ~ ssList(X1)
    | app(app(X3,cons(X2,nil)),X1) != esk3_0
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    app(app(esk6_0,cons(esk5_0,nil)),esk7_0) = esk3_0,
    inference(rw,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ssList(esk6_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(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ memberP(X1,X2)
    | ~ ssList(X3)
    | app(app(X1,cons(X2,nil)),X3) != esk3_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( memberP(esk6_0,esk5_0)
    | memberP(esk7_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ~ memberP(esk7_0,esk5_0),
    inference(cn,[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])]) ).

cnf(c_0_13,negated_conjecture,
    ~ memberP(esk6_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_6]),c_0_8]),c_0_7]),c_0_9])]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SWC185+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 01:38:20 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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.iBTnj3YxJa/E---3.1_3640.p
% 0.20/0.51  # Version: 3.1pre001
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # new_bool_3 with pid 3734 completed with status 0
% 0.20/0.51  # Result found by new_bool_3
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.51  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3738 completed with status 0
% 0.20/0.51  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.001 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Theorem
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 96
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 75
% 0.20/0.51  # Initial clauses                      : 47
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 47
% 0.20/0.51  # Processed clauses                    : 106
% 0.20/0.51  # ...of these trivial                  : 2
% 0.20/0.51  # ...subsumed                          : 1
% 0.20/0.51  # ...remaining for further processing  : 102
% 0.20/0.51  # Other redundant clauses eliminated   : 8
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 3
% 0.20/0.51  # Backward-rewritten                   : 0
% 0.20/0.51  # Generated clauses                    : 123
% 0.20/0.51  # ...of the previous two non-redundant : 100
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 0
% 0.20/0.51  # Paramodulations                      : 111
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 12
% 0.20/0.51  # Total rewrite steps                  : 88
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 50
% 0.20/0.51  #    Positive orientable unit clauses  : 12
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 3
% 0.20/0.51  #    Non-unit-clauses                  : 35
% 0.20/0.51  # Current number of unprocessed clauses: 86
% 0.20/0.51  # ...number of literals in the above   : 353
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 49
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 265
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 82
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 3
% 0.20/0.51  # Unit Clause-clause subsumption calls : 15
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 0
% 0.20/0.51  # BW rewrite match successes           : 0
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 6167
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.006 s
% 0.20/0.51  # System time              : 0.004 s
% 0.20/0.51  # Total time               : 0.010 s
% 0.20/0.51  # Maximum resident set size: 2036 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.010 s
% 0.20/0.51  # System time              : 0.006 s
% 0.20/0.51  # Total time               : 0.016 s
% 0.20/0.51  # Maximum resident set size: 1804 pages
% 0.20/0.51  % E---3.1 exiting
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------