TSTP Solution File: KRS074+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : KRS074+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : Mon May 20 23:16:06 EDT 2024

% Result   : Unsatisfiable 0.22s 0.52s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :   23 (   4 avg)
%            Number of connectives :   61 (  23   ~;  20   |;  14   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (   1 sgn   9   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X4] :
      ( cUnsatisfiable(X4)
    <=> ( ? [X5] :
            ( rs(X4,X5)
            & cp(X5)
            & ? [X6] :
                ( rinvS(X5,X6)
                & cp(X6) ) )
        & ! [X5] :
            ( rs(X4,X5)
           => ~ cp(X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_9,axiom,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(c_0_2,plain,
    ! [X4] :
      ( cUnsatisfiable(X4)
    <=> ( ? [X5] :
            ( rs(X4,X5)
            & cp(X5)
            & ? [X6] :
                ( rinvS(X5,X6)
                & cp(X6) ) )
        & ! [X5] :
            ( rs(X4,X5)
           => ~ cp(X5) ) ) ),
    inference(fof_simplification,[status(thm)],[axiom_2]) ).

fof(c_0_3,plain,
    ! [X57,X60,X61,X62,X63] :
      ( ( rs(X57,esk1_1(X57))
        | ~ cUnsatisfiable(X57) )
      & ( cp(esk1_1(X57))
        | ~ cUnsatisfiable(X57) )
      & ( rinvS(esk1_1(X57),esk2_1(X57))
        | ~ cUnsatisfiable(X57) )
      & ( cp(esk2_1(X57))
        | ~ cUnsatisfiable(X57) )
      & ( ~ rs(X57,X60)
        | ~ cp(X60)
        | ~ cUnsatisfiable(X57) )
      & ( rs(X61,esk3_1(X61))
        | ~ rs(X61,X62)
        | ~ cp(X62)
        | ~ rinvS(X62,X63)
        | ~ cp(X63)
        | cUnsatisfiable(X61) )
      & ( cp(esk3_1(X61))
        | ~ rs(X61,X62)
        | ~ cp(X62)
        | ~ rinvS(X62,X63)
        | ~ cp(X63)
        | cUnsatisfiable(X61) ) ),
    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_2])])])])])])]) ).

cnf(c_0_4,plain,
    ( ~ rs(X1,X2)
    | ~ cp(X2)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,plain,
    ( rs(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( cp(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,plain,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    inference(split_conjunct,[status(thm)],[axiom_9]) ).

cnf(c_0_8,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).

cnf(c_0_9,plain,
    $false,
    inference(sr,[status(thm)],[c_0_7,c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KRS074+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 22:29:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.22/0.52  # Version: 3.1.0
% 0.22/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17651 completed with status 0
% 0.22/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52  # No SInE strategy applied
% 0.22/0.52  # Search class: FGHSF-FFSF11-SFFFFFNN
% 0.22/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.52  # Starting new_bool_3 with 136s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 136s (1) cores
% 0.22/0.52  # Starting sh5l with 136s (1) cores
% 0.22/0.52  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 17666 completed with status 0
% 0.22/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.22/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52  # No SInE strategy applied
% 0.22/0.52  # Search class: FGHSF-FFSF11-SFFFFFNN
% 0.22/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.22/0.52  # Preprocessing time       : 0.001 s
% 0.22/0.52  # Presaturation interreduction done
% 0.22/0.52  
% 0.22/0.52  # Proof found!
% 0.22/0.52  # SZS status Unsatisfiable
% 0.22/0.52  # SZS output start CNFRefutation
% See solution above
% 0.22/0.52  # Parsed axioms                        : 30
% 0.22/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.52  # Initial clauses                      : 41
% 0.22/0.52  # Removed in clause preprocessing      : 19
% 0.22/0.52  # Initial clauses in saturation        : 22
% 0.22/0.52  # Processed clauses                    : 41
% 0.22/0.52  # ...of these trivial                  : 0
% 0.22/0.52  # ...subsumed                          : 0
% 0.22/0.52  # ...remaining for further processing  : 41
% 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                    : 6
% 0.22/0.52  # Backward-rewritten                   : 0
% 0.22/0.52  # Generated clauses                    : 8
% 0.22/0.52  # ...of the previous two non-redundant : 6
% 0.22/0.52  # ...aggressively subsumed             : 0
% 0.22/0.52  # Contextual simplify-reflections      : 3
% 0.22/0.52  # Paramodulations                      : 7
% 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                  : 0
% 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  : 12
% 0.22/0.52  #    Positive orientable unit clauses  : 0
% 0.22/0.52  #    Positive unorientable unit clauses: 0
% 0.22/0.52  #    Negative unit clauses             : 2
% 0.22/0.52  #    Non-unit-clauses                  : 10
% 0.22/0.52  # Current number of unprocessed clauses: 9
% 0.22/0.52  # ...number of literals in the above   : 27
% 0.22/0.52  # Current number of archived formulas  : 0
% 0.22/0.52  # Current number of archived clauses   : 30
% 0.22/0.52  # Clause-clause subsumption calls (NU) : 126
% 0.22/0.52  # Rec. Clause-clause subsumption calls : 89
% 0.22/0.52  # Non-unit clause-clause subsumptions  : 3
% 0.22/0.52  # Unit Clause-clause subsumption calls : 6
% 0.22/0.52  # Rewrite failures with RHS unbound    : 0
% 0.22/0.52  # BW rewrite match attempts            : 0
% 0.22/0.52  # BW rewrite match successes           : 0
% 0.22/0.52  # Condensation attempts                : 0
% 0.22/0.52  # Condensation successes               : 0
% 0.22/0.52  # Termbank termtop insertions          : 2729
% 0.22/0.52  # Search garbage collected termcells   : 636
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.009 s
% 0.22/0.52  # System time              : 0.001 s
% 0.22/0.52  # Total time               : 0.010 s
% 0.22/0.52  # Maximum resident set size: 1824 pages
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.025 s
% 0.22/0.52  # System time              : 0.003 s
% 0.22/0.52  # Total time               : 0.028 s
% 0.22/0.52  # Maximum resident set size: 1724 pages
% 0.22/0.52  % E---3.1 exiting
% 0.22/0.52  % E exiting
%------------------------------------------------------------------------------