TSTP Solution File: KRS123+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS123+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 08:13:04 EDT 2024

% Result   : Unsatisfiable 0.16s 0.43s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   4 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   46 (  21   ~;  16   |;   5   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   23 (   2 sgn  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_6,axiom,
    ! [X1] :
      ( cd(X1)
    <=> ~ ? [X2] : ra_Px1(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.ZrjjpbTGez/E---3.1_15431.p',axiom_6) ).

fof(axiom_7,axiom,
    ! [X1] :
      ( cdxcomp(X1)
    <=> ? [X3] : ra_Px1(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.ZrjjpbTGez/E---3.1_15431.p',axiom_7) ).

fof(axiom_3,axiom,
    ! [X1] :
      ( cc(X1)
     => cdxcomp(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ZrjjpbTGez/E---3.1_15431.p',axiom_3) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cUnsatisfiable(X1)
    <=> ( cc(X1)
        & cd(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZrjjpbTGez/E---3.1_15431.p',axiom_2) ).

fof(axiom_12,axiom,
    cUnsatisfiable(i2003_11_14_17_22_02803),
    file('/export/starexec/sandbox/tmp/tmp.ZrjjpbTGez/E---3.1_15431.p',axiom_12) ).

fof(c_0_5,plain,
    ! [X10,X11,X12] :
      ( ( ~ cd(X10)
        | ~ ra_Px1(X10,X11) )
      & ( ra_Px1(X12,esk1_1(X12))
        | cd(X12) ) ),
    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)],[axiom_6])])])])])]) ).

fof(c_0_6,plain,
    ! [X14,X16,X17] :
      ( ( ~ cdxcomp(X14)
        | ra_Px1(X14,esk2_1(X14)) )
      & ( ~ ra_Px1(X16,X17)
        | cdxcomp(X16) ) ),
    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)],[axiom_7])])])])])]) ).

cnf(c_0_7,plain,
    ( ~ cd(X1)
    | ~ ra_Px1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( ra_Px1(X1,esk2_1(X1))
    | ~ cdxcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X7] :
      ( ~ cc(X7)
      | cdxcomp(X7) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).

cnf(c_0_10,plain,
    ( ~ cdxcomp(X1)
    | ~ cd(X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    ( cdxcomp(X1)
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ! [X6] :
      ( ( cc(X6)
        | ~ cUnsatisfiable(X6) )
      & ( cd(X6)
        | ~ cUnsatisfiable(X6) )
      & ( ~ cc(X6)
        | ~ cd(X6)
        | cUnsatisfiable(X6) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).

cnf(c_0_13,plain,
    ( ~ cd(X1)
    | ~ cc(X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( cc(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,plain,
    ( cd(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    cUnsatisfiable(i2003_11_14_17_22_02803),
    inference(split_conjunct,[status(thm)],[axiom_12]) ).

cnf(c_0_17,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_18,plain,
    $false,
    inference(sr,[status(thm)],[c_0_16,c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : KRS123+1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n005.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 13:35:10 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.16/0.42  Running first-order model finding
% 0.16/0.42  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.ZrjjpbTGez/E---3.1_15431.p
% 0.16/0.43  # Version: 3.1.0
% 0.16/0.43  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43  # Starting sh5l with 300s (1) cores
% 0.16/0.43  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 15508 completed with status 0
% 0.16/0.43  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.43  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43  # No SInE strategy applied
% 0.16/0.43  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.43  # Starting new_bool_3 with 136s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 136s (1) cores
% 0.16/0.43  # Starting sh5l with 136s (1) cores
% 0.16/0.43  # SAT001_MinMin_p005000_rr_RG with pid 15521 completed with status 0
% 0.16/0.43  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.43  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43  # No SInE strategy applied
% 0.16/0.43  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.43  # Preprocessing time       : 0.001 s
% 0.16/0.43  # Presaturation interreduction done
% 0.16/0.43  
% 0.16/0.43  # Proof found!
% 0.16/0.43  # SZS status Unsatisfiable
% 0.16/0.43  # SZS output start CNFRefutation
% See solution above
% 0.16/0.43  # Parsed axioms                        : 13
% 0.16/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.43  # Initial clauses                      : 21
% 0.16/0.43  # Removed in clause preprocessing      : 1
% 0.16/0.43  # Initial clauses in saturation        : 20
% 0.16/0.43  # Processed clauses                    : 43
% 0.16/0.43  # ...of these trivial                  : 0
% 0.16/0.43  # ...subsumed                          : 0
% 0.16/0.43  # ...remaining for further processing  : 43
% 0.16/0.43  # Other redundant clauses eliminated   : 0
% 0.16/0.43  # Clauses deleted for lack of memory   : 0
% 0.16/0.43  # Backward-subsumed                    : 3
% 0.16/0.43  # Backward-rewritten                   : 0
% 0.16/0.43  # Generated clauses                    : 11
% 0.16/0.43  # ...of the previous two non-redundant : 5
% 0.16/0.43  # ...aggressively subsumed             : 0
% 0.16/0.43  # Contextual simplify-reflections      : 1
% 0.16/0.43  # Paramodulations                      : 10
% 0.16/0.43  # Factorizations                       : 0
% 0.16/0.43  # NegExts                              : 0
% 0.16/0.43  # Equation resolutions                 : 0
% 0.16/0.43  # Disequality decompositions           : 0
% 0.16/0.43  # Total rewrite steps                  : 0
% 0.16/0.43  # ...of those cached                   : 0
% 0.16/0.43  # Propositional unsat checks           : 0
% 0.16/0.43  #    Propositional check models        : 0
% 0.16/0.43  #    Propositional check unsatisfiable : 0
% 0.16/0.43  #    Propositional clauses             : 0
% 0.16/0.43  #    Propositional clauses after purity: 0
% 0.16/0.43  #    Propositional unsat core size     : 0
% 0.16/0.43  #    Propositional preprocessing time  : 0.000
% 0.16/0.43  #    Propositional encoding time       : 0.000
% 0.16/0.43  #    Propositional solver time         : 0.000
% 0.16/0.43  #    Success case prop preproc time    : 0.000
% 0.16/0.43  #    Success case prop encoding time   : 0.000
% 0.16/0.43  #    Success case prop solver time     : 0.000
% 0.16/0.43  # Current number of processed clauses  : 19
% 0.16/0.43  #    Positive orientable unit clauses  : 1
% 0.16/0.43  #    Positive unorientable unit clauses: 0
% 0.16/0.43  #    Negative unit clauses             : 2
% 0.16/0.43  #    Non-unit-clauses                  : 16
% 0.16/0.43  # Current number of unprocessed clauses: 2
% 0.16/0.43  # ...number of literals in the above   : 4
% 0.16/0.43  # Current number of archived formulas  : 0
% 0.16/0.43  # Current number of archived clauses   : 25
% 0.16/0.43  # Clause-clause subsumption calls (NU) : 71
% 0.16/0.43  # Rec. Clause-clause subsumption calls : 59
% 0.16/0.43  # Non-unit clause-clause subsumptions  : 2
% 0.16/0.43  # Unit Clause-clause subsumption calls : 3
% 0.16/0.43  # Rewrite failures with RHS unbound    : 0
% 0.16/0.43  # BW rewrite match attempts            : 0
% 0.16/0.43  # BW rewrite match successes           : 0
% 0.16/0.43  # Condensation attempts                : 0
% 0.16/0.43  # Condensation successes               : 0
% 0.16/0.43  # Termbank termtop insertions          : 1218
% 0.16/0.43  # Search garbage collected termcells   : 250
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.004 s
% 0.16/0.43  # System time              : 0.002 s
% 0.16/0.43  # Total time               : 0.006 s
% 0.16/0.43  # Maximum resident set size: 1744 pages
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.014 s
% 0.16/0.43  # System time              : 0.004 s
% 0.16/0.43  # Total time               : 0.019 s
% 0.16/0.43  # Maximum resident set size: 1696 pages
% 0.16/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------