TSTP Solution File: SWC276+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWC276+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 19:40:12 EDT 2023

% Result   : Theorem 0.39s 0.56s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   60 (  25 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :   63 (  18   ~;  20   |;  14   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | totalorderedP(X1)
                    | ( ! [X5] :
                          ( ssItem(X5)
                         => ( cons(X5,nil) != X3
                            | ~ memberP(X4,X5) ) )
                      & ( nil != X4
                        | nil != X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8wH2JoR9gJ/E---3.1_4187.p',co1) ).

fof(ax65,axiom,
    ! [X1] :
      ( ssItem(X1)
     => totalorderedP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/tmp/tmp.8wH2JoR9gJ/E---3.1_4187.p',ax65) ).

fof(ax66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/tmp/tmp.8wH2JoR9gJ/E---3.1_4187.p',ax66) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | totalorderedP(X1)
                      | ( ! [X5] :
                            ( ssItem(X5)
                           => ( cons(X5,nil) != X3
                              | ~ memberP(X4,X5) ) )
                        & ( nil != X4
                          | nil != X3 ) ) ) ) ) ) ),
    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
    & ~ totalorderedP(esk1_0)
    & ( nil = esk4_0
      | ssItem(esk5_0) )
    & ( nil = esk3_0
      | ssItem(esk5_0) )
    & ( nil = esk4_0
      | cons(esk5_0,nil) = esk3_0 )
    & ( nil = esk3_0
      | cons(esk5_0,nil) = esk3_0 )
    & ( nil = esk4_0
      | memberP(esk4_0,esk5_0) )
    & ( nil = esk3_0
      | memberP(esk4_0,esk5_0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

fof(c_0_5,plain,
    ! [X56] :
      ( ~ ssItem(X56)
      | totalorderedP(cons(X56,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).

cnf(c_0_6,negated_conjecture,
    ~ totalorderedP(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,
    ( totalorderedP(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,
    ~ totalorderedP(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,
    totalorderedP(nil),
    inference(split_conjunct,[status(thm)],[ax66]) ).

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
% 0.07/0.13  % Problem    : SWC276+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Oct  3 02:02:22 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.37/0.53  Running first-order theorem proving
% 0.37/0.53  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.8wH2JoR9gJ/E---3.1_4187.p
% 0.39/0.56  # Version: 3.1pre001
% 0.39/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.39/0.56  # Starting sh5l with 300s (1) cores
% 0.39/0.56  # new_bool_3 with pid 4309 completed with status 0
% 0.39/0.56  # Result found by new_bool_3
% 0.39/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.56  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.39/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.39/0.56  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4313 completed with status 0
% 0.39/0.56  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.39/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.39/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.56  # Search class: FGHSF-FFMM21-MFFFFFNN
% 0.39/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.56  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.39/0.56  # Preprocessing time       : 0.003 s
% 0.39/0.56  # Presaturation interreduction done
% 0.39/0.56  
% 0.39/0.56  # Proof found!
% 0.39/0.56  # SZS status Theorem
% 0.39/0.56  # SZS output start CNFRefutation
% See solution above
% 0.39/0.56  # Parsed axioms                        : 96
% 0.39/0.56  # Removed by relevancy pruning/SinE    : 52
% 0.39/0.56  # Initial clauses                      : 85
% 0.39/0.56  # Removed in clause preprocessing      : 1
% 0.39/0.56  # Initial clauses in saturation        : 84
% 0.39/0.56  # Processed clauses                    : 117
% 0.39/0.56  # ...of these trivial                  : 2
% 0.39/0.56  # ...subsumed                          : 4
% 0.39/0.56  # ...remaining for further processing  : 111
% 0.39/0.56  # Other redundant clauses eliminated   : 7
% 0.39/0.56  # Clauses deleted for lack of memory   : 0
% 0.39/0.56  # Backward-subsumed                    : 0
% 0.39/0.56  # Backward-rewritten                   : 8
% 0.39/0.56  # Generated clauses                    : 12
% 0.39/0.56  # ...of the previous two non-redundant : 12
% 0.39/0.56  # ...aggressively subsumed             : 0
% 0.39/0.56  # Contextual simplify-reflections      : 2
% 0.39/0.56  # Paramodulations                      : 6
% 0.39/0.56  # Factorizations                       : 0
% 0.39/0.56  # NegExts                              : 0
% 0.39/0.56  # Equation resolutions                 : 7
% 0.39/0.56  # Total rewrite steps                  : 19
% 0.39/0.56  # Propositional unsat checks           : 0
% 0.39/0.56  #    Propositional check models        : 0
% 0.39/0.56  #    Propositional check unsatisfiable : 0
% 0.39/0.56  #    Propositional clauses             : 0
% 0.39/0.56  #    Propositional clauses after purity: 0
% 0.39/0.56  #    Propositional unsat core size     : 0
% 0.39/0.56  #    Propositional preprocessing time  : 0.000
% 0.39/0.56  #    Propositional encoding time       : 0.000
% 0.39/0.56  #    Propositional solver time         : 0.000
% 0.39/0.56  #    Success case prop preproc time    : 0.000
% 0.39/0.56  #    Success case prop encoding time   : 0.000
% 0.39/0.56  #    Success case prop solver time     : 0.000
% 0.39/0.56  # Current number of processed clauses  : 18
% 0.39/0.56  #    Positive orientable unit clauses  : 8
% 0.39/0.56  #    Positive unorientable unit clauses: 0
% 0.39/0.56  #    Negative unit clauses             : 1
% 0.39/0.56  #    Non-unit-clauses                  : 9
% 0.39/0.56  # Current number of unprocessed clauses: 56
% 0.39/0.56  # ...number of literals in the above   : 228
% 0.39/0.56  # Current number of archived formulas  : 0
% 0.39/0.56  # Current number of archived clauses   : 87
% 0.39/0.56  # Clause-clause subsumption calls (NU) : 779
% 0.39/0.56  # Rec. Clause-clause subsumption calls : 144
% 0.39/0.56  # Non-unit clause-clause subsumptions  : 6
% 0.39/0.56  # Unit Clause-clause subsumption calls : 3
% 0.39/0.56  # Rewrite failures with RHS unbound    : 0
% 0.39/0.56  # BW rewrite match attempts            : 1
% 0.39/0.56  # BW rewrite match successes           : 1
% 0.39/0.56  # Condensation attempts                : 0
% 0.39/0.56  # Condensation successes               : 0
% 0.39/0.56  # Termbank termtop insertions          : 6891
% 0.39/0.56  
% 0.39/0.56  # -------------------------------------------------
% 0.39/0.56  # User time                : 0.017 s
% 0.39/0.56  # System time              : 0.002 s
% 0.39/0.56  # Total time               : 0.019 s
% 0.39/0.56  # Maximum resident set size: 2064 pages
% 0.39/0.56  
% 0.39/0.56  # -------------------------------------------------
% 0.39/0.56  # User time                : 0.019 s
% 0.39/0.56  # System time              : 0.003 s
% 0.39/0.56  # Total time               : 0.023 s
% 0.39/0.56  # Maximum resident set size: 1792 pages
% 0.39/0.56  % E---3.1 exiting
% 0.39/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------