TSTP Solution File: SWC288+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWC288+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:28:50 EDT 2024

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :  100 (  37 equ)
%            Maximal formula atoms :   43 (   6 avg)
%            Number of connectives :  119 (  34   ~;  44   |;  30   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn  18   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | strictorderedP(X1)
                  | ( ! [X5] :
                        ( ssItem(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ! [X7] :
                                ( ~ ssList(X7)
                                | cons(X5,nil) != X3
                                | app(app(X6,X3),X7) != X4
                                | ? [X8] :
                                    ( ssItem(X8)
                                    & memberP(X6,X8)
                                    & lt(X5,X8) )
                                | ? [X9] :
                                    ( ssItem(X9)
                                    & memberP(X7,X9)
                                    & lt(X9,X5) ) ) ) )
                    & ( nil != X4
                      | nil != X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax68,axiom,
    ! [X1] :
      ( ssItem(X1)
     => strictorderedP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).

fof(ax69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | strictorderedP(X1)
                    | ( ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssList(X6)
                             => ! [X7] :
                                  ( ~ ssList(X7)
                                  | cons(X5,nil) != X3
                                  | app(app(X6,X3),X7) != X4
                                  | ? [X8] :
                                      ( ssItem(X8)
                                      & memberP(X6,X8)
                                      & lt(X5,X8) )
                                  | ? [X9] :
                                      ( ssItem(X9)
                                      & memberP(X7,X9)
                                      & lt(X9,X5) ) ) ) )
                      & ( nil != X4
                        | nil != X3 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_4,negated_conjecture,
    ! [X17,X18] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ~ strictorderedP(esk1_0)
      & ( nil = esk4_0
        | ssItem(esk5_0) )
      & ( nil = esk3_0
        | ssItem(esk5_0) )
      & ( nil = esk4_0
        | ssList(esk6_0) )
      & ( nil = esk3_0
        | ssList(esk6_0) )
      & ( nil = esk4_0
        | ssList(esk7_0) )
      & ( nil = esk3_0
        | ssList(esk7_0) )
      & ( nil = esk4_0
        | cons(esk5_0,nil) = esk3_0 )
      & ( nil = esk3_0
        | cons(esk5_0,nil) = esk3_0 )
      & ( nil = esk4_0
        | app(app(esk6_0,esk3_0),esk7_0) = esk4_0 )
      & ( nil = esk3_0
        | app(app(esk6_0,esk3_0),esk7_0) = esk4_0 )
      & ( nil = esk4_0
        | ~ ssItem(X17)
        | ~ memberP(esk6_0,X17)
        | ~ lt(esk5_0,X17) )
      & ( nil = esk3_0
        | ~ ssItem(X17)
        | ~ memberP(esk6_0,X17)
        | ~ lt(esk5_0,X17) )
      & ( nil = esk4_0
        | ~ ssItem(X18)
        | ~ memberP(esk7_0,X18)
        | ~ lt(X18,esk5_0) )
      & ( nil = esk3_0
        | ~ ssItem(X18)
        | ~ memberP(esk7_0,X18)
        | ~ lt(X18,esk5_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).

fof(c_0_5,plain,
    ! [X91] :
      ( ~ ssItem(X91)
      | strictorderedP(cons(X91,nil)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])])]) ).

cnf(c_0_6,negated_conjecture,
    ~ strictorderedP(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ( nil = esk3_0
    | cons(esk5_0,nil) = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ~ strictorderedP(esk3_0),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ( nil = esk3_0
    | ssItem(esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,negated_conjecture,
    esk3_0 = nil,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]) ).

cnf(c_0_13,plain,
    strictorderedP(nil),
    inference(split_conjunct,[status(thm)],[ax69]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC288+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.11/0.34  % Computer : n021.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Sun May 19 02:57:23 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  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/benchmark/theBenchmark.p
% 0.19/0.48  # Version: 3.1.0
% 0.19/0.48  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # new_bool_3 with pid 4548 completed with status 0
% 0.19/0.48  # Result found by new_bool_3
% 0.19/0.48  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.19/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.48  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4551 completed with status 0
% 0.19/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.48  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.19/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.002 s
% 0.19/0.48  # Presaturation interreduction done
% 0.19/0.48  
% 0.19/0.48  # Proof found!
% 0.19/0.48  # SZS status Theorem
% 0.19/0.48  # SZS output start CNFRefutation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 96
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 52
% 0.19/0.48  # Initial clauses                      : 93
% 0.19/0.48  # Removed in clause preprocessing      : 1
% 0.19/0.48  # Initial clauses in saturation        : 92
% 0.19/0.48  # Processed clauses                    : 134
% 0.19/0.48  # ...of these trivial                  : 2
% 0.19/0.48  # ...subsumed                          : 4
% 0.19/0.48  # ...remaining for further processing  : 128
% 0.19/0.48  # Other redundant clauses eliminated   : 7
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 0
% 0.19/0.48  # Backward-rewritten                   : 11
% 0.19/0.48  # Generated clauses                    : 14
% 0.19/0.48  # ...of the previous two non-redundant : 12
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 2
% 0.19/0.48  # Paramodulations                      : 8
% 0.19/0.48  # Factorizations                       : 0
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 7
% 0.19/0.48  # Disequality decompositions           : 0
% 0.19/0.48  # Total rewrite steps                  : 24
% 0.19/0.48  # ...of those cached                   : 17
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 24
% 0.19/0.48  #    Positive orientable unit clauses  : 8
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 1
% 0.19/0.48  #    Non-unit-clauses                  : 15
% 0.19/0.48  # Current number of unprocessed clauses: 55
% 0.19/0.48  # ...number of literals in the above   : 229
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 98
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 1011
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 217
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 6
% 0.19/0.48  # Unit Clause-clause subsumption calls : 1
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 1
% 0.19/0.48  # BW rewrite match successes           : 1
% 0.19/0.48  # Condensation attempts                : 0
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 8481
% 0.19/0.48  # Search garbage collected termcells   : 2243
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.009 s
% 0.19/0.48  # System time              : 0.003 s
% 0.19/0.48  # Total time               : 0.013 s
% 0.19/0.48  # Maximum resident set size: 2076 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.011 s
% 0.19/0.48  # System time              : 0.005 s
% 0.19/0.48  # Total time               : 0.017 s
% 0.19/0.48  # Maximum resident set size: 1824 pages
% 0.19/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------