TSTP Solution File: KRS200+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 08:13:27 EDT 2024

% Result   : Theorem 0.22s 0.52s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  12 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   68 (  29   ~;  19   |;  14   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   62 (   7 sgn  29   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(non_thm_spt,axiom,
    ? [X3,X1,X2] :
      ( model(X3,X1)
      & ~ model(X3,X2)
      & ? [X4] : model(X4,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.cbLj3tiemQ/E---3.1_6314.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/sandbox/tmp/tmp.cbLj3tiemQ/E---3.1_6314.p',nota) ).

fof(unp,axiom,
    ! [X1,X2] :
      ( ( ~ ? [X3] : model(X3,X1)
       => ~ ? [X4] : model(X4,X2) )
    <=> status(X1,X2,unp) ),
    file('/export/starexec/sandbox/tmp/tmp.cbLj3tiemQ/E---3.1_6314.p',unp) ).

fof(nota_unp_thm,conjecture,
    nota(unp,thm),
    file('/export/starexec/sandbox/tmp/tmp.cbLj3tiemQ/E---3.1_6314.p',nota_unp_thm) ).

fof(thm,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/export/starexec/sandbox/tmp/tmp.cbLj3tiemQ/E---3.1_6314.p',thm) ).

fof(contradiction,axiom,
    ? [X10] :
    ! [X9] : ~ model(X9,X10),
    file('/export/starexec/sandbox/tmp/tmp.cbLj3tiemQ/E---3.1_6314.p',contradiction) ).

fof(c_0_6,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_7,plain,
    ! [X7,X8] :
      ( ? [X1,X2] :
          ( status(X1,X2,X7)
          & ~ status(X1,X2,X8) )
    <=> nota(X7,X8) ),
    inference(fof_simplification,[status(thm)],[nota]) ).

fof(c_0_8,plain,
    ! [X25,X26,X27,X29,X30,X32] :
      ( ( ~ model(X27,X25)
        | status(X25,X26,unp) )
      & ( model(esk4_2(X25,X26),X26)
        | status(X25,X26,unp) )
      & ( ~ status(X29,X30,unp)
        | model(esk5_2(X29,X30),X29)
        | ~ model(X32,X30) ) ),
    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)],[unp])])])])])])]) ).

fof(c_0_9,plain,
    ( model(esk20_0,esk21_0)
    & ~ model(esk20_0,esk22_0)
    & model(esk23_0,esk22_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_6])])]) ).

fof(c_0_10,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_7])])])])])])]) ).

cnf(c_0_11,plain,
    ( status(X2,X3,unp)
    | ~ model(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    model(esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_13,negated_conjecture,
    ~ nota(unp,thm),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nota_unp_thm])]) ).

fof(c_0_14,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])])])])])])]) ).

cnf(c_0_15,plain,
    ( status(X1,X2,X4)
    | nota(X3,X4)
    | ~ status(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    status(esk22_0,X1,unp),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

fof(c_0_17,negated_conjecture,
    ~ nota(unp,thm),
    inference(fof_nnf,[status(thm)],[c_0_13]) ).

fof(c_0_18,plain,
    ? [X10] :
    ! [X9] : ~ model(X9,X10),
    inference(fof_simplification,[status(thm)],[contradiction]) ).

cnf(c_0_19,plain,
    ( model(X3,X2)
    | ~ status(X1,X2,thm)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( nota(unp,X1)
    | status(esk22_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ~ nota(unp,thm),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_22,plain,
    ! [X39] : ~ model(X39,esk10_0),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_18])])]) ).

cnf(c_0_23,plain,
    ( model(X1,X2)
    | ~ model(X1,esk22_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_24,plain,
    ~ model(X1,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_25,plain,
    model(esk23_0,X1),
    inference(spm,[status(thm)],[c_0_23,c_0_12]) ).

cnf(c_0_26,plain,
    $false,
    inference(spm,[status(thm)],[c_0_24,c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 13:43:20 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order model finding
% 0.22/0.49  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.cbLj3tiemQ/E---3.1_6314.p
% 0.22/0.52  # Version: 3.1.0
% 0.22/0.52  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # Starting sh5l with 300s (1) cores
% 0.22/0.52  # sh5l with pid 6443 completed with status 0
% 0.22/0.52  # Result found by sh5l
% 0.22/0.52  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # Starting sh5l with 300s (1) cores
% 0.22/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.52  # Search class: FGHNF-FFSM22-SFFFFFNN
% 0.22/0.52  # partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.22/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.52  # SAT001_MinMin_p005000_rr_RG with pid 6446 completed with status 0
% 0.22/0.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.52  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # Starting sh5l with 300s (1) cores
% 0.22/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.52  # Search class: FGHNF-FFSM22-SFFFFFNN
% 0.22/0.52  # partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.22/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.52  # Preprocessing time       : 0.002 s
% 0.22/0.52  # Presaturation interreduction done
% 0.22/0.52  
% 0.22/0.52  # Proof found!
% 0.22/0.52  # SZS status Theorem
% 0.22/0.52  # SZS output start CNFRefutation
% See solution above
% 0.22/0.52  # Parsed axioms                        : 33
% 0.22/0.52  # Removed by relevancy pruning/SinE    : 23
% 0.22/0.52  # Initial clauses                      : 25
% 0.22/0.52  # Removed in clause preprocessing      : 0
% 0.22/0.52  # Initial clauses in saturation        : 25
% 0.22/0.52  # Processed clauses                    : 73
% 0.22/0.52  # ...of these trivial                  : 1
% 0.22/0.52  # ...subsumed                          : 2
% 0.22/0.52  # ...remaining for further processing  : 70
% 0.22/0.52  # Other redundant clauses eliminated   : 0
% 0.22/0.52  # Clauses deleted for lack of memory   : 0
% 0.22/0.52  # Backward-subsumed                    : 0
% 0.22/0.52  # Backward-rewritten                   : 1
% 0.22/0.52  # Generated clauses                    : 63
% 0.22/0.52  # ...of the previous two non-redundant : 54
% 0.22/0.52  # ...aggressively subsumed             : 0
% 0.22/0.52  # Contextual simplify-reflections      : 0
% 0.22/0.52  # Paramodulations                      : 63
% 0.22/0.52  # Factorizations                       : 0
% 0.22/0.52  # NegExts                              : 0
% 0.22/0.52  # Equation resolutions                 : 0
% 0.22/0.52  # Disequality decompositions           : 0
% 0.22/0.52  # Total rewrite steps                  : 7
% 0.22/0.52  # ...of those cached                   : 0
% 0.22/0.52  # Propositional unsat checks           : 0
% 0.22/0.52  #    Propositional check models        : 0
% 0.22/0.52  #    Propositional check unsatisfiable : 0
% 0.22/0.52  #    Propositional clauses             : 0
% 0.22/0.52  #    Propositional clauses after purity: 0
% 0.22/0.52  #    Propositional unsat core size     : 0
% 0.22/0.52  #    Propositional preprocessing time  : 0.000
% 0.22/0.52  #    Propositional encoding time       : 0.000
% 0.22/0.52  #    Propositional solver time         : 0.000
% 0.22/0.52  #    Success case prop preproc time    : 0.000
% 0.22/0.52  #    Success case prop encoding time   : 0.000
% 0.22/0.52  #    Success case prop solver time     : 0.000
% 0.22/0.52  # Current number of processed clauses  : 44
% 0.22/0.52  #    Positive orientable unit clauses  : 21
% 0.22/0.52  #    Positive unorientable unit clauses: 0
% 0.22/0.52  #    Negative unit clauses             : 8
% 0.22/0.52  #    Non-unit-clauses                  : 15
% 0.22/0.52  # Current number of unprocessed clauses: 31
% 0.22/0.52  # ...number of literals in the above   : 68
% 0.22/0.52  # Current number of archived formulas  : 0
% 0.22/0.52  # Current number of archived clauses   : 26
% 0.22/0.52  # Clause-clause subsumption calls (NU) : 23
% 0.22/0.52  # Rec. Clause-clause subsumption calls : 21
% 0.22/0.52  # Non-unit clause-clause subsumptions  : 0
% 0.22/0.52  # Unit Clause-clause subsumption calls : 31
% 0.22/0.52  # Rewrite failures with RHS unbound    : 0
% 0.22/0.52  # BW rewrite match attempts            : 19
% 0.22/0.52  # BW rewrite match successes           : 1
% 0.22/0.52  # Condensation attempts                : 0
% 0.22/0.52  # Condensation successes               : 0
% 0.22/0.52  # Termbank termtop insertions          : 2279
% 0.22/0.52  # Search garbage collected termcells   : 522
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.006 s
% 0.22/0.52  # System time              : 0.004 s
% 0.22/0.52  # Total time               : 0.010 s
% 0.22/0.52  # Maximum resident set size: 1888 pages
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.007 s
% 0.22/0.52  # System time              : 0.007 s
% 0.22/0.52  # Total time               : 0.014 s
% 0.22/0.52  # Maximum resident set size: 1752 pages
% 0.22/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------