TSTP Solution File: SWW342+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWW342+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 10:00:50 EDT 2024

% Result   : Theorem 3.05s 2.58s
% Output   : CNFRefutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   20 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   5   ~;   2   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   15 (   1 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
    ! [X14,X15] :
      ( v_P(X14,X15)
     => ! [X16] :
          ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X15,v_n,X16)
         => v_P(X14,X16) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Ys0OQH5WHz/E---3.1_25333.p',conj_1) ).

fof(fact_evaln__elim__cases_I1_J,axiom,
    ! [X6,X4,X5] :
      ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X5,X4,X6)
     => X6 = X5 ),
    file('/export/starexec/sandbox2/tmp/tmp.Ys0OQH5WHz/E---3.1_25333.p',fact_evaln__elim__cases_I1_J) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X14,X15] :
        ( v_P(X14,X15)
       => ! [X16] :
            ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,X15,v_n,X16)
           => v_P(X14,X16) ) ),
    inference(assume_negation,[status(cth)],[conj_1]) ).

fof(c_0_3,plain,
    ! [X472,X473,X474] :
      ( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X474,X473,X472)
      | X472 = X474 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_evaln__elim__cases_I1_J])])]) ).

fof(c_0_4,negated_conjecture,
    ( v_P(esk1_0,esk2_0)
    & c_Natural_Oevaln(c_Com_Ocom_OSKIP,esk2_0,v_n,esk3_0)
    & ~ v_P(esk1_0,esk3_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

cnf(c_0_5,plain,
    ( X3 = X1
    | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,esk2_0,v_n,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

cnf(c_0_8,negated_conjecture,
    esk3_0 = esk2_0,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    v_P(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.85/0.86  % Problem    : SWW342+1 : TPTP v8.1.2. Released v5.2.0.
% 0.85/0.87  % Command    : run_E %s %d THM
% 0.90/1.08  % Computer : n024.cluster.edu
% 0.90/1.08  % Model    : x86_64 x86_64
% 0.90/1.08  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.90/1.08  % Memory   : 8042.1875MB
% 0.90/1.08  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.90/1.08  % CPULimit   : 300
% 0.90/1.08  % WCLimit    : 300
% 0.90/1.08  % DateTime   : Fri May  3 13:27:21 EDT 2024
% 0.90/1.08  % CPUTime    : 
% 1.76/1.93  Running first-order theorem proving
% 1.76/1.93  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.Ys0OQH5WHz/E---3.1_25333.p
% 3.05/2.58  # Version: 3.1.0
% 3.05/2.58  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.05/2.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.05/2.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.05/2.58  # Starting new_bool_3 with 300s (1) cores
% 3.05/2.58  # Starting new_bool_1 with 300s (1) cores
% 3.05/2.58  # Starting sh5l with 300s (1) cores
% 3.05/2.58  # new_bool_3 with pid 25487 completed with status 0
% 3.05/2.58  # Result found by new_bool_3
% 3.05/2.58  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.05/2.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.05/2.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.05/2.58  # Starting new_bool_3 with 300s (1) cores
% 3.05/2.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.05/2.58  # Search class: FGHSM-SSLM32-DFFFFFNN
% 3.05/2.58  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.05/2.58  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 3.05/2.58  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 25491 completed with status 0
% 3.05/2.58  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 3.05/2.58  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.05/2.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.05/2.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.05/2.58  # Starting new_bool_3 with 300s (1) cores
% 3.05/2.58  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.05/2.58  # Search class: FGHSM-SSLM32-DFFFFFNN
% 3.05/2.58  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.05/2.58  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 23s (1) cores
% 3.05/2.58  # Preprocessing time       : 0.027 s
% 3.05/2.58  # Presaturation interreduction done
% 3.05/2.58  
% 3.05/2.58  # Proof found!
% 3.05/2.58  # SZS status Theorem
% 3.05/2.58  # SZS output start CNFRefutation
% See solution above
% 3.05/2.58  # Parsed axioms                        : 5206
% 3.05/2.58  # Removed by relevancy pruning/SinE    : 4444
% 3.05/2.58  # Initial clauses                      : 1149
% 3.05/2.58  # Removed in clause preprocessing      : 56
% 3.05/2.58  # Initial clauses in saturation        : 1093
% 3.05/2.58  # Processed clauses                    : 1887
% 3.05/2.58  # ...of these trivial                  : 36
% 3.05/2.58  # ...subsumed                          : 256
% 3.05/2.58  # ...remaining for further processing  : 1595
% 3.05/2.58  # Other redundant clauses eliminated   : 303
% 3.05/2.58  # Clauses deleted for lack of memory   : 0
% 3.05/2.58  # Backward-subsumed                    : 6
% 3.05/2.58  # Backward-rewritten                   : 24
% 3.05/2.58  # Generated clauses                    : 16545
% 3.05/2.58  # ...of the previous two non-redundant : 14779
% 3.05/2.58  # ...aggressively subsumed             : 0
% 3.05/2.58  # Contextual simplify-reflections      : 5
% 3.05/2.58  # Paramodulations                      : 16201
% 3.05/2.58  # Factorizations                       : 8
% 3.05/2.58  # NegExts                              : 0
% 3.05/2.58  # Equation resolutions                 : 347
% 3.05/2.58  # Disequality decompositions           : 0
% 3.05/2.58  # Total rewrite steps                  : 5545
% 3.05/2.58  # ...of those cached                   : 3851
% 3.05/2.58  # Propositional unsat checks           : 0
% 3.05/2.58  #    Propositional check models        : 0
% 3.05/2.58  #    Propositional check unsatisfiable : 0
% 3.05/2.58  #    Propositional clauses             : 0
% 3.05/2.58  #    Propositional clauses after purity: 0
% 3.05/2.58  #    Propositional unsat core size     : 0
% 3.05/2.58  #    Propositional preprocessing time  : 0.000
% 3.05/2.58  #    Propositional encoding time       : 0.000
% 3.05/2.58  #    Propositional solver time         : 0.000
% 3.05/2.58  #    Success case prop preproc time    : 0.000
% 3.05/2.58  #    Success case prop encoding time   : 0.000
% 3.05/2.58  #    Success case prop solver time     : 0.000
% 3.05/2.58  # Current number of processed clauses  : 739
% 3.05/2.58  #    Positive orientable unit clauses  : 154
% 3.05/2.58  #    Positive unorientable unit clauses: 20
% 3.05/2.58  #    Negative unit clauses             : 46
% 3.05/2.58  #    Non-unit-clauses                  : 519
% 3.05/2.58  # Current number of unprocessed clauses: 14731
% 3.05/2.58  # ...number of literals in the above   : 39595
% 3.05/2.58  # Current number of archived formulas  : 0
% 3.05/2.58  # Current number of archived clauses   : 776
% 3.05/2.58  # Clause-clause subsumption calls (NU) : 96266
% 3.05/2.58  # Rec. Clause-clause subsumption calls : 77239
% 3.05/2.58  # Non-unit clause-clause subsumptions  : 201
% 3.05/2.58  # Unit Clause-clause subsumption calls : 2060
% 3.05/2.58  # Rewrite failures with RHS unbound    : 0
% 3.05/2.58  # BW rewrite match attempts            : 3517
% 3.05/2.58  # BW rewrite match successes           : 192
% 3.05/2.58  # Condensation attempts                : 0
% 3.05/2.58  # Condensation successes               : 0
% 3.05/2.58  # Termbank termtop insertions          : 795220
% 3.05/2.58  # Search garbage collected termcells   : 57894
% 3.05/2.58  
% 3.05/2.58  # -------------------------------------------------
% 3.05/2.58  # User time                : 0.489 s
% 3.05/2.58  # System time              : 0.034 s
% 3.05/2.58  # Total time               : 0.522 s
% 3.05/2.58  # Maximum resident set size: 12004 pages
% 3.05/2.58  
% 3.05/2.58  # -------------------------------------------------
% 3.05/2.58  # User time                : 0.590 s
% 3.05/2.58  # System time              : 0.045 s
% 3.05/2.58  # Total time               : 0.634 s
% 3.05/2.58  # Maximum resident set size: 9588 pages
% 3.05/2.58  % E---3.1 exiting
% 3.05/2.58  % E exiting
%------------------------------------------------------------------------------