TSTP Solution File: SWV413+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV413+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 05:23:14 EDT 2024

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   31 (  11   ~;   7   |;  10   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn  17   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l49_co,conjecture,
    ! [X1,X2,X3,X4] :
      ( ( pair_in_list(X1,X2,X3)
        & strictly_less_than(X2,X4)
        & less_than(X4,X3) )
     => ? [X5] :
          ( pair_in_list(update_slb(X1,X4),X2,X5)
          & less_than(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l49_co) ).

fof(l49_li3637,lemma,
    ! [X1,X2,X3,X4] :
      ( ( pair_in_list(X1,X2,X3)
        & less_than(X4,X3) )
     => pair_in_list(update_slb(X1,X4),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l49_li3637) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( pair_in_list(X1,X2,X3)
          & strictly_less_than(X2,X4)
          & less_than(X4,X3) )
       => ? [X5] :
            ( pair_in_list(update_slb(X1,X4),X2,X5)
            & less_than(X4,X5) ) ),
    inference(assume_negation,[status(cth)],[l49_co]) ).

fof(c_0_3,negated_conjecture,
    ! [X10] :
      ( pair_in_list(esk1_0,esk2_0,esk3_0)
      & strictly_less_than(esk2_0,esk4_0)
      & less_than(esk4_0,esk3_0)
      & ( ~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,X10)
        | ~ less_than(esk4_0,X10) ) ),
    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_2])])])])]) ).

fof(c_0_4,lemma,
    ! [X24,X25,X26,X27] :
      ( ~ pair_in_list(X24,X25,X26)
      | ~ less_than(X27,X26)
      | pair_in_list(update_slb(X24,X27),X25,X26) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l49_li3637])])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,X1)
    | ~ less_than(esk4_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,lemma,
    ( pair_in_list(update_slb(X1,X4),X2,X3)
    | ~ pair_in_list(X1,X2,X3)
    | ~ less_than(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ pair_in_list(esk1_0,esk2_0,X1)
    | ~ less_than(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    pair_in_list(esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    less_than(esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV413+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 09:03:53 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order theorem proving
% 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 --auto-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: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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 29783 completed with status 0
% 0.19/0.48  # Result found by new_bool_3
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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: FGHSS-FFMS22-MFFFFFNN
% 0.19/0.48  # partial match(1): FGHSS-FFMS22-SFFFFFNN
% 0.19/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.48  # SAT001_MinMin_p005000_rr_RG with pid 29787 completed with status 0
% 0.19/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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: FGHSS-FFMS22-MFFFFFNN
% 0.19/0.48  # partial match(1): FGHSS-FFMS22-SFFFFFNN
% 0.19/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.001 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                        : 20
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 7
% 0.19/0.48  # Initial clauses                      : 23
% 0.19/0.48  # Removed in clause preprocessing      : 0
% 0.19/0.48  # Initial clauses in saturation        : 23
% 0.19/0.48  # Processed clauses                    : 52
% 0.19/0.48  # ...of these trivial                  : 0
% 0.19/0.48  # ...subsumed                          : 2
% 0.19/0.48  # ...remaining for further processing  : 50
% 0.19/0.48  # Other redundant clauses eliminated   : 3
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 0
% 0.19/0.48  # Backward-rewritten                   : 0
% 0.19/0.48  # Generated clauses                    : 24
% 0.19/0.48  # ...of the previous two non-redundant : 15
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 1
% 0.19/0.48  # Paramodulations                      : 20
% 0.19/0.48  # Factorizations                       : 2
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 3
% 0.19/0.48  # Disequality decompositions           : 0
% 0.19/0.48  # Total rewrite steps                  : 5
% 0.19/0.48  # ...of those cached                   : 1
% 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  : 25
% 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             : 3
% 0.19/0.48  #    Non-unit-clauses                  : 14
% 0.19/0.48  # Current number of unprocessed clauses: 9
% 0.19/0.48  # ...number of literals in the above   : 24
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 23
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 34
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 34
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 3
% 0.19/0.48  # Unit Clause-clause subsumption calls : 3
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 6
% 0.19/0.48  # BW rewrite match successes           : 0
% 0.19/0.48  # Condensation attempts                : 0
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 1743
% 0.19/0.48  # Search garbage collected termcells   : 324
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.005 s
% 0.19/0.48  # System time              : 0.004 s
% 0.19/0.48  # Total time               : 0.009 s
% 0.19/0.48  # Maximum resident set size: 1840 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.006 s
% 0.19/0.48  # System time              : 0.006 s
% 0.19/0.48  # Total time               : 0.013 s
% 0.19/0.48  # Maximum resident set size: 1716 pages
% 0.19/0.48  % E---3.1 exiting
% 0.19/0.49  % E exiting
%------------------------------------------------------------------------------