TSTP Solution File: KRS215+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS215+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 08:13:29 EDT 2024

% Result   : Timeout 300.10s 100.24s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (  18 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   84 (  35   ~;  26   |;  16   &)
%                                         (   5 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :   78 (   7 sgn  36   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(completeness,axiom,
    ! [X9,X10] :
      ( model(X9,X10)
    <~> model(X9,not(X10)) ),
    file('/export/starexec/sandbox2/tmp/tmp.9dNuz6zc3p/E---3.1_28259.p',completeness) ).

fof(contradiction,axiom,
    ? [X10] :
    ! [X9] : ~ model(X9,X10),
    file('/export/starexec/sandbox2/tmp/tmp.9dNuz6zc3p/E---3.1_28259.p',contradiction) ).

fof(thm,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/export/starexec/sandbox2/tmp/tmp.9dNuz6zc3p/E---3.1_28259.p',thm) ).

fof(tautology,axiom,
    ? [X10] :
    ! [X9] : model(X9,X10),
    file('/export/starexec/sandbox2/tmp/tmp.9dNuz6zc3p/E---3.1_28259.p',tautology) ).

fof(csa,axiom,
    ! [X1,X2] :
      ( ? [X3] :
          ( model(X3,X1)
          & model(X3,not(X2)) )
    <=> status(X1,X2,csa) ),
    file('/export/starexec/sandbox2/tmp/tmp.9dNuz6zc3p/E---3.1_28259.p',csa) ).

fof(non_thm_spt,axiom,
    ? [X3,X1,X2] :
      ( model(X3,X1)
      & ~ model(X3,X2)
      & ? [X4] : model(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.9dNuz6zc3p/E---3.1_28259.p',non_thm_spt) ).

fof(nota,axiom,
    ! [X7,X8] :
      ( ? [X1,X2] :
          ( status(X1,X2,X7)
          & ~ status(X1,X2,X8) )
    <=> nota(X7,X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.9dNuz6zc3p/E---3.1_28259.p',nota) ).

fof(nota_csa_thm,conjecture,
    nota(csa,thm),
    file('/export/starexec/sandbox2/tmp/tmp.9dNuz6zc3p/E---3.1_28259.p',nota_csa_thm) ).

fof(c_0_8,plain,
    ! [X9,X10] :
      ~ ( model(X9,X10)
      <=> model(X9,not(X10)) ),
    inference(fof_simplification,[status(thm)],[completeness]) ).

fof(c_0_9,plain,
    ? [X10] :
    ! [X9] : ~ model(X9,X10),
    inference(fof_simplification,[status(thm)],[contradiction]) ).

fof(c_0_10,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_11,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_8])])]) ).

fof(c_0_12,plain,
    ! [X37] : ~ model(X37,esk9_0),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_9])])]) ).

cnf(c_0_13,plain,
    ( status(X1,X2,thm)
    | ~ model(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( model(X1,X2)
    | model(X1,not(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ~ model(X1,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( status(X1,not(X2),thm)
    | model(esk3_2(X1,not(X2)),X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,plain,
    ( model(X3,X2)
    | ~ status(X1,X2,thm)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    status(X1,not(esk9_0),thm),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

fof(c_0_19,plain,
    ! [X32] : model(X32,esk5_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).

fof(c_0_20,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])])])])])])]) ).

cnf(c_0_21,plain,
    ( model(X1,not(esk9_0))
    | ~ model(X1,X2) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,plain,
    model(X1,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_23,plain,
    ? [X3,X1,X2] :
      ( model(X3,X1)
      & ~ model(X3,X2)
      & ? [X4] : model(X4,X2) ),
    inference(fof_simplification,[status(thm)],[non_thm_spt]) ).

fof(c_0_24,plain,
    ! [X7,X8] :
      ( ? [X1,X2] :
          ( status(X1,X2,X7)
          & ~ status(X1,X2,X8) )
    <=> nota(X7,X8) ),
    inference(fof_simplification,[status(thm)],[nota]) ).

cnf(c_0_25,plain,
    ( status(X2,X3,csa)
    | ~ model(X1,X2)
    | ~ model(X1,not(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    model(X1,not(esk9_0)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_27,plain,
    ( model(esk19_0,esk20_0)
    & ~ model(esk19_0,esk21_0)
    & model(esk22_0,esk21_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_23])])]) ).

fof(c_0_28,negated_conjecture,
    ~ nota(csa,thm),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nota_csa_thm])]) ).

fof(c_0_29,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ( ~ status(X13,X14,X11)
        | status(X13,X14,X12)
        | nota(X11,X12) )
      & ( status(esk1_2(X15,X16),esk2_2(X15,X16),X15)
        | ~ nota(X15,X16) )
      & ( ~ status(esk1_2(X15,X16),esk2_2(X15,X16),X16)
        | ~ nota(X15,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_24])])])])])])]) ).

cnf(c_0_30,plain,
    ( status(X1,esk9_0,csa)
    | ~ model(X2,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,plain,
    model(esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_32,negated_conjecture,
    ~ nota(csa,thm),
    inference(fof_nnf,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( status(X1,X2,X4)
    | nota(X3,X4)
    | ~ status(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,plain,
    status(esk21_0,esk9_0,csa),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ~ nota(csa,thm),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_36,plain,
    ( nota(csa,X1)
    | status(esk21_0,esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    status(esk21_0,esk9_0,thm),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,negated_conjecture,
    ~ model(X1,esk21_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_37]),c_0_15]) ).

cnf(c_0_39,plain,
    $false,
    inference(sr,[status(thm)],[c_0_31,c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS215+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 13:41:40 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.9dNuz6zc3p/E---3.1_28259.p
% 300.10/100.24  # Version: 3.1.0
% 300.10/100.24  # Preprocessing class: FSMSSMSMSSSNFFN.
% 300.10/100.24  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.10/100.24  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 300.10/100.24  # Starting new_bool_3 with 300s (1) cores
% 300.10/100.24  # Starting new_bool_1 with 300s (1) cores
% 300.10/100.24  # Starting sh5l with 300s (1) cores
% 300.10/100.24  # new_bool_3 with pid 28337 completed with status 0
% 300.10/100.24  # Result found by new_bool_3
% 300.10/100.24  # Preprocessing class: FSMSSMSMSSSNFFN.
% 300.10/100.24  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.10/100.24  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 300.10/100.24  # Starting new_bool_3 with 300s (1) cores
% 300.10/100.24  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 300.10/100.24  # Search class: FGHNF-FFSM21-SFFFFFNN
% 300.10/100.24  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 300.10/100.24  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 300.10/100.24  # SAT001_MinMin_p005000_rr_RG with pid 28340 completed with status 0
% 300.10/100.24  # Result found by SAT001_MinMin_p005000_rr_RG
% 300.10/100.24  # Preprocessing class: FSMSSMSMSSSNFFN.
% 300.10/100.24  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.10/100.24  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 300.10/100.24  # Starting new_bool_3 with 300s (1) cores
% 300.10/100.24  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 300.10/100.24  # Search class: FGHNF-FFSM21-SFFFFFNN
% 300.10/100.24  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 300.10/100.24  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 300.10/100.24  # Preprocessing time       : 0.003 s
% 300.10/100.24  # Presaturation interreduction done
% 300.10/100.24  
% 300.10/100.24  # Proof found!
% 300.10/100.24  # SZS status Theorem
% 300.10/100.24  # SZS output start CNFRefutation
% See solution above
% 300.10/100.24  # Parsed axioms                        : 33
% 300.10/100.24  # Removed by relevancy pruning/SinE    : 21
% 300.10/100.24  # Initial clauses                      : 29
% 300.10/100.24  # Removed in clause preprocessing      : 0
% 300.10/100.24  # Initial clauses in saturation        : 29
% 300.10/100.24  # Processed clauses                    : 140
% 300.10/100.24  # ...of these trivial                  : 3
% 300.10/100.24  # ...subsumed                          : 19
% 300.10/100.24  # ...remaining for further processing  : 118
% 300.10/100.24  # Other redundant clauses eliminated   : 0
% 300.10/100.24  # Clauses deleted for lack of memory   : 0
% 300.10/100.24  # Backward-subsumed                    : 3
% 300.10/100.24  # Backward-rewritten                   : 7
% 300.10/100.24  # Generated clauses                    : 221
% 300.10/100.24  # ...of the previous two non-redundant : 182
% 300.10/100.24  # ...aggressively subsumed             : 0
% 300.10/100.24  # Contextual simplify-reflections      : 0
% 300.10/100.24  # Paramodulations                      : 220
% 300.10/100.24  # Factorizations                       : 0
% 300.10/100.24  # NegExts                              : 0
% 300.10/100.24  # Equation resolutions                 : 0
% 300.10/100.24  # Disequality decompositions           : 0
% 300.10/100.24  # Total rewrite steps                  : 40
% 300.10/100.24  # ...of those cached                   : 11
% 300.10/100.24  # Propositional unsat checks           : 0
% 300.10/100.24  #    Propositional check models        : 0
% 300.10/100.24  #    Propositional check unsatisfiable : 0
% 300.10/100.24  #    Propositional clauses             : 0
% 300.10/100.24  #    Propositional clauses after purity: 0
% 300.10/100.24  #    Propositional unsat core size     : 0
% 300.10/100.24  #    Propositional preprocessing time  : 0.000
% 300.10/100.24  #    Propositional encoding time       : 0.000
% 300.10/100.24  #    Propositional solver time         : 0.000
% 300.10/100.24  #    Success case prop preproc time    : 0.000
% 300.10/100.24  #    Success case prop encoding time   : 0.000
% 300.10/100.24  #    Success case prop solver time     : 0.000
% 300.10/100.24  # Current number of processed clauses  : 80
% 300.10/100.24  #    Positive orientable unit clauses  : 25
% 300.10/100.24  #    Positive unorientable unit clauses: 0
% 300.10/100.24  #    Negative unit clauses             : 20
% 300.10/100.24  #    Non-unit-clauses                  : 35
% 300.10/100.24  # Current number of unprocessed clauses: 91
% 300.10/100.24  # ...number of literals in the above   : 202
% 300.10/100.24  # Current number of archived formulas  : 0
% 300.10/100.24  # Current number of archived clauses   : 38
% 300.10/100.24  # Clause-clause subsumption calls (NU) : 81
% 300.10/100.24  # Rec. Clause-clause subsumption calls : 74
% 300.10/100.24  # Non-unit clause-clause subsumptions  : 4
% 300.10/100.24  # Unit Clause-clause subsumption calls : 75
% 300.10/100.24  # Rewrite failures with RHS unbound    : 0
% 300.10/100.24  # BW rewrite match attempts            : 20
% 300.10/100.24  # BW rewrite match successes           : 7
% 300.10/100.24  # Condensation attempts                : 0
% 300.10/100.24  # Condensation successes               : 0
% 300.10/100.24  # Termbank termtop insertions          : 4006
% 300.10/100.24  # Search garbage collected termcells   : 531
% 300.10/100.24  
% 300.10/100.24  # -------------------------------------------------
% 300.10/100.24  # User time                : 0.010 s
% 300.10/100.24  # System time              : 0.005 s
% 300.10/100.24  # Total time               : 0.015 s
% 300.10/100.24  # Maximum resident set size: 1860 pages
% 300.10/100.24  
% 300.10/100.24  # -------------------------------------------------
% 300.10/100.24  # User time                : 0.011 s
% 300.10/100.24  # System time              : 0.007 s
% 300.10/100.24  # Total time               : 0.019 s
% 300.10/100.24  # Maximum resident set size: 1752 pages
% 300.10/100.24  % E---3.1 exiting
%------------------------------------------------------------------------------