TSTP Solution File: KRS233+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : KRS233+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 08:12:34 EDT 2024

% Result   : Theorem 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   5 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   74 (  30   ~;  27   |;   8   &)
%                                         (   5 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   56 (   0 sgn  35   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(completeness,axiom,
    ! [X9,X10] :
      ( model(X9,X10)
    <~> model(X9,not(X10)) ),
    file('/export/starexec/sandbox2/tmp/tmp.nEW4zX6G5w/E---3.1_15937.p',completeness) ).

fof(nevera,axiom,
    ! [X7,X8] :
      ( ! [X1,X2] :
          ( status(X1,X2,X7)
         => ~ status(X1,X2,X8) )
    <=> nevera(X7,X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.nEW4zX6G5w/E---3.1_15937.p',nevera) ).

fof(csa,axiom,
    ! [X1,X2] :
      ( ? [X3] :
          ( model(X3,X1)
          & model(X3,not(X2)) )
    <=> status(X1,X2,csa) ),
    file('/export/starexec/sandbox2/tmp/tmp.nEW4zX6G5w/E---3.1_15937.p',csa) ).

fof(thm,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/export/starexec/sandbox2/tmp/tmp.nEW4zX6G5w/E---3.1_15937.p',thm) ).

fof(nevera_csa_thm,conjecture,
    nevera(csa,thm),
    file('/export/starexec/sandbox2/tmp/tmp.nEW4zX6G5w/E---3.1_15937.p',nevera_csa_thm) ).

fof(c_0_5,plain,
    ! [X9,X10] :
      ~ ( model(X9,X10)
      <=> model(X9,not(X10)) ),
    inference(fof_simplification,[status(thm)],[completeness]) ).

fof(c_0_6,plain,
    ! [X7,X8] :
      ( ! [X1,X2] :
          ( status(X1,X2,X7)
         => ~ status(X1,X2,X8) )
    <=> nevera(X7,X8) ),
    inference(fof_simplification,[status(thm)],[nevera]) ).

fof(c_0_7,plain,
    ! [X52,X53] :
      ( ( ~ model(X52,X53)
        | ~ model(X52,not(X53)) )
      & ( model(X52,X53)
        | model(X52,not(X53)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_8,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ( ~ model(X27,X25)
        | ~ model(X27,not(X26))
        | status(X25,X26,csa) )
      & ( model(esk4_2(X28,X29),X28)
        | ~ status(X28,X29,csa) )
      & ( model(esk4_2(X28,X29),not(X29))
        | ~ status(X28,X29,csa) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[csa])])])])])])]) ).

fof(c_0_9,plain,
    ! [X19,X20,X22,X23,X24] :
      ( ( model(esk3_2(X19,X20),X19)
        | status(X19,X20,thm) )
      & ( ~ model(esk3_2(X19,X20),X20)
        | status(X19,X20,thm) )
      & ( ~ status(X22,X23,thm)
        | ~ model(X24,X22)
        | model(X24,X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm])])])])])])]) ).

fof(c_0_10,plain,
    ! [X11,X12,X15,X16,X17,X18] :
      ( ( status(esk1_2(X11,X12),esk2_2(X11,X12),X11)
        | nevera(X11,X12) )
      & ( status(esk1_2(X11,X12),esk2_2(X11,X12),X12)
        | nevera(X11,X12) )
      & ( ~ nevera(X15,X16)
        | ~ status(X17,X18,X15)
        | ~ status(X17,X18,X16) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])]) ).

cnf(c_0_11,plain,
    ( ~ model(X1,X2)
    | ~ model(X1,not(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( model(esk4_2(X1,X2),not(X2))
    | ~ status(X1,X2,csa) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( model(X3,X2)
    | ~ status(X1,X2,thm)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( status(esk1_2(X1,X2),esk2_2(X1,X2),X2)
    | nevera(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( ~ status(X1,X2,csa)
    | ~ model(esk4_2(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    ( nevera(X1,thm)
    | model(X2,esk2_2(X1,thm))
    | ~ model(X2,esk1_2(X1,thm)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

fof(c_0_17,negated_conjecture,
    ~ nevera(csa,thm),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nevera_csa_thm])]) ).

cnf(c_0_18,plain,
    ( nevera(X1,thm)
    | ~ status(X2,esk2_2(X1,thm),csa)
    | ~ model(esk4_2(X2,esk2_2(X1,thm)),esk1_2(X1,thm)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    ( model(esk4_2(X1,X2),X1)
    | ~ status(X1,X2,csa) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_20,negated_conjecture,
    ~ nevera(csa,thm),
    inference(fof_nnf,[status(thm)],[c_0_17]) ).

cnf(c_0_21,plain,
    ( nevera(X1,thm)
    | ~ status(esk1_2(X1,thm),esk2_2(X1,thm),csa) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    ( status(esk1_2(X1,X2),esk2_2(X1,X2),X1)
    | nevera(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,negated_conjecture,
    ~ nevera(csa,thm),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : KRS233+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 13:41:12 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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.nEW4zX6G5w/E---3.1_15937.p
% 0.20/0.59  # Version: 3.1.0
% 0.20/0.59  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.59  # Starting sh5l with 300s (1) cores
% 0.20/0.59  # new_bool_3 with pid 16016 completed with status 0
% 0.20/0.59  # Result found by new_bool_3
% 0.20/0.59  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.59  # Search class: FGHNF-FFSM21-SFFFFFNN
% 0.20/0.59  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.59  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.59  # SAT001_MinMin_p005000_rr_RG with pid 16019 completed with status 0
% 0.20/0.59  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.59  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.59  # Search class: FGHNF-FFSM21-SFFFFFNN
% 0.20/0.59  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.59  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.59  # Preprocessing time       : 0.002 s
% 0.20/0.59  # Presaturation interreduction done
% 0.20/0.59  
% 0.20/0.59  # Proof found!
% 0.20/0.59  # SZS status Theorem
% 0.20/0.59  # SZS output start CNFRefutation
% See solution above
% 0.20/0.59  # Parsed axioms                        : 33
% 0.20/0.59  # Removed by relevancy pruning/SinE    : 21
% 0.20/0.59  # Initial clauses                      : 29
% 0.20/0.59  # Removed in clause preprocessing      : 0
% 0.20/0.59  # Initial clauses in saturation        : 29
% 0.20/0.59  # Processed clauses                    : 1231
% 0.20/0.59  # ...of these trivial                  : 56
% 0.20/0.59  # ...subsumed                          : 743
% 0.20/0.59  # ...remaining for further processing  : 432
% 0.20/0.59  # Other redundant clauses eliminated   : 0
% 0.20/0.59  # Clauses deleted for lack of memory   : 0
% 0.20/0.59  # Backward-subsumed                    : 3
% 0.20/0.59  # Backward-rewritten                   : 2
% 0.20/0.59  # Generated clauses                    : 5554
% 0.20/0.59  # ...of the previous two non-redundant : 4055
% 0.20/0.59  # ...aggressively subsumed             : 0
% 0.20/0.59  # Contextual simplify-reflections      : 0
% 0.20/0.59  # Paramodulations                      : 5552
% 0.20/0.59  # Factorizations                       : 2
% 0.20/0.59  # NegExts                              : 0
% 0.20/0.59  # Equation resolutions                 : 0
% 0.20/0.59  # Disequality decompositions           : 0
% 0.20/0.59  # Total rewrite steps                  : 1553
% 0.20/0.59  # ...of those cached                   : 1456
% 0.20/0.59  # Propositional unsat checks           : 0
% 0.20/0.59  #    Propositional check models        : 0
% 0.20/0.59  #    Propositional check unsatisfiable : 0
% 0.20/0.59  #    Propositional clauses             : 0
% 0.20/0.59  #    Propositional clauses after purity: 0
% 0.20/0.59  #    Propositional unsat core size     : 0
% 0.20/0.59  #    Propositional preprocessing time  : 0.000
% 0.20/0.59  #    Propositional encoding time       : 0.000
% 0.20/0.59  #    Propositional solver time         : 0.000
% 0.20/0.59  #    Success case prop preproc time    : 0.000
% 0.20/0.59  #    Success case prop encoding time   : 0.000
% 0.20/0.59  #    Success case prop solver time     : 0.000
% 0.20/0.59  # Current number of processed clauses  : 400
% 0.20/0.59  #    Positive orientable unit clauses  : 84
% 0.20/0.59  #    Positive unorientable unit clauses: 0
% 0.20/0.59  #    Negative unit clauses             : 35
% 0.20/0.59  #    Non-unit-clauses                  : 281
% 0.20/0.59  # Current number of unprocessed clauses: 2845
% 0.20/0.59  # ...number of literals in the above   : 6993
% 0.20/0.59  # Current number of archived formulas  : 0
% 0.20/0.59  # Current number of archived clauses   : 32
% 0.20/0.59  # Clause-clause subsumption calls (NU) : 6690
% 0.20/0.59  # Rec. Clause-clause subsumption calls : 5503
% 0.20/0.59  # Non-unit clause-clause subsumptions  : 73
% 0.20/0.59  # Unit Clause-clause subsumption calls : 477
% 0.20/0.59  # Rewrite failures with RHS unbound    : 0
% 0.20/0.59  # BW rewrite match attempts            : 133
% 0.20/0.59  # BW rewrite match successes           : 2
% 0.20/0.59  # Condensation attempts                : 0
% 0.20/0.59  # Condensation successes               : 0
% 0.20/0.59  # Termbank termtop insertions          : 58169
% 0.20/0.59  # Search garbage collected termcells   : 535
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.085 s
% 0.20/0.59  # System time              : 0.005 s
% 0.20/0.59  # Total time               : 0.090 s
% 0.20/0.59  # Maximum resident set size: 1860 pages
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.086 s
% 0.20/0.59  # System time              : 0.008 s
% 0.20/0.59  # Total time               : 0.094 s
% 0.20/0.59  # Maximum resident set size: 1728 pages
% 0.20/0.59  % E---3.1 exiting
% 0.20/0.59  % E exiting
%------------------------------------------------------------------------------