TSTP Solution File: SWV405+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV405+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 : Sat May  4 09:52:59 EDT 2024

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   21 (  10   ~;   5   |;   2   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   24 (   4 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l41_co,conjecture,
    ! [X1,X2] :
      ( check_cpq(triple(X1,create_slb,X2))
    <=> ! [X3,X4] :
          ( pair_in_list(create_slb,X3,X4)
         => less_than(X4,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.g9ytboeaB7/E---3.1_28573.p',l41_co) ).

fof(ax22,axiom,
    ! [X1,X2] : ~ pair_in_list(create_slb,X1,X2),
    file('/export/starexec/sandbox2/tmp/tmp.g9ytboeaB7/E---3.1_28573.p',ax22) ).

fof(ax36,axiom,
    ! [X1,X2] : check_cpq(triple(X1,create_slb,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.g9ytboeaB7/E---3.1_28573.p',ax36) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] :
        ( check_cpq(triple(X1,create_slb,X2))
      <=> ! [X3,X4] :
            ( pair_in_list(create_slb,X3,X4)
           => less_than(X4,X3) ) ),
    inference(assume_negation,[status(cth)],[l41_co]) ).

fof(c_0_4,plain,
    ! [X1,X2] : ~ pair_in_list(create_slb,X1,X2),
    inference(fof_simplification,[status(thm)],[ax22]) ).

fof(c_0_5,negated_conjecture,
    ! [X10,X11] :
      ( ( pair_in_list(create_slb,esk3_0,esk4_0)
        | ~ check_cpq(triple(esk1_0,create_slb,esk2_0)) )
      & ( ~ less_than(esk4_0,esk3_0)
        | ~ check_cpq(triple(esk1_0,create_slb,esk2_0)) )
      & ( check_cpq(triple(esk1_0,create_slb,esk2_0))
        | ~ pair_in_list(create_slb,X10,X11)
        | less_than(X11,X10) ) ),
    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_6,plain,
    ! [X26,X27] : check_cpq(triple(X26,create_slb,X27)),
    inference(variable_rename,[status(thm)],[ax36]) ).

fof(c_0_7,plain,
    ! [X18,X19] : ~ pair_in_list(create_slb,X18,X19),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_4])]) ).

cnf(c_0_8,negated_conjecture,
    ( pair_in_list(create_slb,esk3_0,esk4_0)
    | ~ check_cpq(triple(esk1_0,create_slb,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    check_cpq(triple(X1,create_slb,X2)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ~ pair_in_list(create_slb,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWV405+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.32  % CPULimit   : 300
% 0.17/0.32  % WCLimit    : 300
% 0.17/0.32  % DateTime   : Fri May  3 16:53:53 EDT 2024
% 0.17/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  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/tmp/tmp.g9ytboeaB7/E---3.1_28573.p
% 0.17/0.45  # Version: 3.1.0
% 0.17/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting sh5l with 300s (1) cores
% 0.17/0.45  # new_bool_3 with pid 28651 completed with status 0
% 0.17/0.45  # Result found by new_bool_3
% 0.17/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.17/0.45  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 28654 completed with status 0
% 0.17/0.45  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.17/0.45  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.45  # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.17/0.45  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.001 s
% 0.17/0.45  # Presaturation interreduction done
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Theorem
% 0.17/0.45  # SZS output start CNFRefutation
% See solution above
% 0.17/0.45  # Parsed axioms                        : 42
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 18
% 0.17/0.45  # Initial clauses                      : 35
% 0.17/0.45  # Removed in clause preprocessing      : 1
% 0.17/0.45  # Initial clauses in saturation        : 34
% 0.17/0.45  # Processed clauses                    : 7
% 0.17/0.45  # ...of these trivial                  : 0
% 0.17/0.45  # ...subsumed                          : 0
% 0.17/0.45  # ...remaining for further processing  : 7
% 0.17/0.45  # Other redundant clauses eliminated   : 0
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 0
% 0.17/0.45  # Backward-rewritten                   : 2
% 0.17/0.45  # Generated clauses                    : 0
% 0.17/0.45  # ...of the previous two non-redundant : 0
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 0
% 0.17/0.45  # Paramodulations                      : 0
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 0
% 0.17/0.45  # Disequality decompositions           : 0
% 0.17/0.45  # Total rewrite steps                  : 1
% 0.17/0.45  # ...of those cached                   : 0
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 5
% 0.17/0.45  #    Positive orientable unit clauses  : 3
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 2
% 0.17/0.45  #    Non-unit-clauses                  : 0
% 0.17/0.45  # Current number of unprocessed clauses: 27
% 0.17/0.45  # ...number of literals in the above   : 67
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 2
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 0
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 0
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.45  # Unit Clause-clause subsumption calls : 3
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 2
% 0.17/0.45  # BW rewrite match successes           : 1
% 0.17/0.45  # Condensation attempts                : 0
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 2583
% 0.17/0.45  # Search garbage collected termcells   : 613
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.003 s
% 0.17/0.45  # System time              : 0.003 s
% 0.17/0.45  # Total time               : 0.006 s
% 0.17/0.45  # Maximum resident set size: 1836 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.004 s
% 0.17/0.45  # System time              : 0.005 s
% 0.17/0.45  # Total time               : 0.009 s
% 0.17/0.45  # Maximum resident set size: 1740 pages
% 0.17/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------