TSTP Solution File: KRS093+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS093+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 08:12:59 EDT 2024

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   4 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   43 (  21   ~;  14   |;   3   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   17 (   1 sgn   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_3,axiom,
    ! [X1] :
      ( cc(X1)
     => ~ cd(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.W9hnXEJSAF/E---3.1_12124.p',axiom_3) ).

fof(axiom_7,axiom,
    ! [X1] :
      ( cf(X1)
     => cd(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.W9hnXEJSAF/E---3.1_12124.p',axiom_7) ).

fof(axiom_6,axiom,
    ! [X1] :
      ( ce3(X1)
     => cc(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.W9hnXEJSAF/E---3.1_12124.p',axiom_6) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cUnsatisfiable(X1)
    <=> ( cf(X1)
        & ce3(X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.W9hnXEJSAF/E---3.1_12124.p',axiom_2) ).

fof(axiom_8,axiom,
    cUnsatisfiable(i2003_11_14_17_20_07201),
    file('/export/starexec/sandbox/tmp/tmp.W9hnXEJSAF/E---3.1_12124.p',axiom_8) ).

fof(c_0_5,plain,
    ! [X1] :
      ( cc(X1)
     => ~ cd(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_3]) ).

fof(c_0_6,plain,
    ! [X5] :
      ( ~ cc(X5)
      | ~ cd(X5) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_7,plain,
    ! [X9] :
      ( ~ cf(X9)
      | cd(X9) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).

cnf(c_0_8,plain,
    ( ~ cc(X1)
    | ~ cd(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( cd(X1)
    | ~ cf(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_10,plain,
    ! [X8] :
      ( ~ ce3(X8)
      | cc(X8) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).

cnf(c_0_11,plain,
    ( ~ cc(X1)
    | ~ cf(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    ( cc(X1)
    | ~ ce3(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_13,plain,
    ! [X4] :
      ( ( cf(X4)
        | ~ cUnsatisfiable(X4) )
      & ( ce3(X4)
        | ~ cUnsatisfiable(X4) )
      & ( ~ cf(X4)
        | ~ ce3(X4)
        | cUnsatisfiable(X4) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).

cnf(c_0_14,plain,
    ( ~ ce3(X1)
    | ~ cf(X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    ( ce3(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    ( cf(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    cUnsatisfiable(i2003_11_14_17_20_07201),
    inference(split_conjunct,[status(thm)],[axiom_8]) ).

cnf(c_0_18,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_19,plain,
    $false,
    inference(sr,[status(thm)],[c_0_17,c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS093+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n006.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 13:43:04 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  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.W9hnXEJSAF/E---3.1_12124.p
% 0.21/0.49  # Version: 3.1.0
% 0.21/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.49  # Starting sh5l with 300s (1) cores
% 0.21/0.49  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 12204 completed with status 0
% 0.21/0.49  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.49  # No SInE strategy applied
% 0.21/0.49  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.21/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/0.49  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.49  # Starting new_bool_1 with 136s (1) cores
% 0.21/0.49  # Starting sh5l with 136s (1) cores
% 0.21/0.49  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 12215 completed with status 0
% 0.21/0.49  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.49  # No SInE strategy applied
% 0.21/0.49  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.21/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/0.49  # Preprocessing time       : 0.001 s
% 0.21/0.49  
% 0.21/0.49  # Proof found!
% 0.21/0.49  # SZS status Unsatisfiable
% 0.21/0.49  # SZS output start CNFRefutation
% See solution above
% 0.21/0.49  # Parsed axioms                        : 9
% 0.21/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.49  # Initial clauses                      : 13
% 0.21/0.49  # Removed in clause preprocessing      : 1
% 0.21/0.49  # Initial clauses in saturation        : 12
% 0.21/0.49  # Processed clauses                    : 15
% 0.21/0.49  # ...of these trivial                  : 0
% 0.21/0.49  # ...subsumed                          : 0
% 0.21/0.49  # ...remaining for further processing  : 15
% 0.21/0.49  # Other redundant clauses eliminated   : 0
% 0.21/0.49  # Clauses deleted for lack of memory   : 0
% 0.21/0.49  # Backward-subsumed                    : 4
% 0.21/0.49  # Backward-rewritten                   : 0
% 0.21/0.49  # Generated clauses                    : 6
% 0.21/0.49  # ...of the previous two non-redundant : 3
% 0.21/0.49  # ...aggressively subsumed             : 0
% 0.21/0.49  # Contextual simplify-reflections      : 2
% 0.21/0.49  # Paramodulations                      : 5
% 0.21/0.49  # Factorizations                       : 0
% 0.21/0.49  # NegExts                              : 0
% 0.21/0.49  # Equation resolutions                 : 0
% 0.21/0.49  # Disequality decompositions           : 0
% 0.21/0.49  # Total rewrite steps                  : 0
% 0.21/0.49  # ...of those cached                   : 0
% 0.21/0.49  # Propositional unsat checks           : 0
% 0.21/0.49  #    Propositional check models        : 0
% 0.21/0.49  #    Propositional check unsatisfiable : 0
% 0.21/0.49  #    Propositional clauses             : 0
% 0.21/0.49  #    Propositional clauses after purity: 0
% 0.21/0.49  #    Propositional unsat core size     : 0
% 0.21/0.49  #    Propositional preprocessing time  : 0.000
% 0.21/0.49  #    Propositional encoding time       : 0.000
% 0.21/0.49  #    Propositional solver time         : 0.000
% 0.21/0.49  #    Success case prop preproc time    : 0.000
% 0.21/0.49  #    Success case prop encoding time   : 0.000
% 0.21/0.49  #    Success case prop solver time     : 0.000
% 0.21/0.49  # Current number of processed clauses  : 10
% 0.21/0.49  #    Positive orientable unit clauses  : 0
% 0.21/0.49  #    Positive unorientable unit clauses: 0
% 0.21/0.49  #    Negative unit clauses             : 3
% 0.21/0.49  #    Non-unit-clauses                  : 7
% 0.21/0.49  # Current number of unprocessed clauses: 0
% 0.21/0.49  # ...number of literals in the above   : 0
% 0.21/0.49  # Current number of archived formulas  : 0
% 0.21/0.49  # Current number of archived clauses   : 6
% 0.21/0.49  # Clause-clause subsumption calls (NU) : 29
% 0.21/0.49  # Rec. Clause-clause subsumption calls : 27
% 0.21/0.49  # Non-unit clause-clause subsumptions  : 3
% 0.21/0.49  # Unit Clause-clause subsumption calls : 3
% 0.21/0.49  # Rewrite failures with RHS unbound    : 0
% 0.21/0.49  # BW rewrite match attempts            : 0
% 0.21/0.49  # BW rewrite match successes           : 0
% 0.21/0.49  # Condensation attempts                : 0
% 0.21/0.49  # Condensation successes               : 0
% 0.21/0.49  # Termbank termtop insertions          : 604
% 0.21/0.49  # Search garbage collected termcells   : 98
% 0.21/0.49  
% 0.21/0.49  # -------------------------------------------------
% 0.21/0.49  # User time                : 0.003 s
% 0.21/0.49  # System time              : 0.003 s
% 0.21/0.49  # Total time               : 0.006 s
% 0.21/0.49  # Maximum resident set size: 1672 pages
% 0.21/0.49  
% 0.21/0.49  # -------------------------------------------------
% 0.21/0.49  # User time                : 0.009 s
% 0.21/0.49  # System time              : 0.011 s
% 0.21/0.49  # Total time               : 0.020 s
% 0.21/0.49  # Maximum resident set size: 1696 pages
% 0.21/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------