TSTP Solution File: KRS089+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS089+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 08:12:58 EDT 2024

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   89 (  30 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   99 (  39   ~;  32   |;  23   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   45 (   5 sgn  18   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.6uGvXAAc8V/E---3.1_15881.p',axiom_0) ).

fof(axiom_3,axiom,
    ! [X4] :
      ( cowlThing(X4)
     => ? [X8] :
          ( rp(X4,X8)
          & X8 = ispy ) ),
    file('/export/starexec/sandbox/tmp/tmp.6uGvXAAc8V/E---3.1_15881.p',axiom_3) ).

fof(axiom_4,axiom,
    ! [X4,X8] :
      ( rp(X4,X8)
    <=> rinvP(X8,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.6uGvXAAc8V/E---3.1_15881.p',axiom_4) ).

fof(axiom_2,axiom,
    ! [X4] :
      ( cUnsatisfiable(X4)
     => ? [X5,X6,X7] :
          ( rr(X4,X5)
          & rr(X4,X6)
          & rr(X4,X7)
          & X5 != X6
          & X5 != X7
          & X6 != X7 ) ),
    file('/export/starexec/sandbox/tmp/tmp.6uGvXAAc8V/E---3.1_15881.p',axiom_2) ).

fof(axiom_5,axiom,
    ! [X9,X10,X11] :
      ( ( rinvP(ispy,X9)
        & rinvP(ispy,X10)
        & rinvP(ispy,X11) )
     => ( X9 = X10
        | X9 = X11
        | X10 = X11 ) ),
    file('/export/starexec/sandbox/tmp/tmp.6uGvXAAc8V/E---3.1_15881.p',axiom_5) ).

fof(axiom_7,axiom,
    cUnsatisfiable(i2003_11_14_17_19_53168),
    file('/export/starexec/sandbox/tmp/tmp.6uGvXAAc8V/E---3.1_15881.p',axiom_7) ).

fof(c_0_6,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_7,plain,
    ! [X46] :
      ( ( rp(X46,esk4_1(X46))
        | ~ cowlThing(X46) )
      & ( esk4_1(X46) = ispy
        | ~ cowlThing(X46) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])])]) ).

fof(c_0_8,plain,
    ! [X40] :
      ( cowlThing(X40)
      & ~ cowlNothing(X40) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).

cnf(c_0_9,plain,
    ( esk4_1(X1) = ispy
    | ~ cowlThing(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,plain,
    ! [X48,X49] :
      ( ( ~ rp(X48,X49)
        | rinvP(X49,X48) )
      & ( ~ rinvP(X49,X48)
        | rp(X48,X49) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])]) ).

cnf(c_0_12,plain,
    ( rp(X1,esk4_1(X1))
    | ~ cowlThing(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    esk4_1(X1) = ispy,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

fof(c_0_14,plain,
    ! [X4] :
      ( cUnsatisfiable(X4)
     => ? [X5,X6,X7] :
          ( rr(X4,X5)
          & rr(X4,X6)
          & rr(X4,X7)
          & X5 != X6
          & X5 != X7
          & X6 != X7 ) ),
    inference(fof_simplification,[status(thm)],[axiom_2]) ).

fof(c_0_15,plain,
    ! [X50,X51,X52] :
      ( ~ rinvP(ispy,X50)
      | ~ rinvP(ispy,X51)
      | ~ rinvP(ispy,X52)
      | X50 = X51
      | X50 = X52
      | X51 = X52 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).

cnf(c_0_16,plain,
    ( rinvP(X2,X1)
    | ~ rp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    rp(X1,ispy),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10])]),c_0_13]) ).

fof(c_0_18,plain,
    ! [X42] :
      ( ( rr(X42,esk1_1(X42))
        | ~ cUnsatisfiable(X42) )
      & ( rr(X42,esk2_1(X42))
        | ~ cUnsatisfiable(X42) )
      & ( rr(X42,esk3_1(X42))
        | ~ cUnsatisfiable(X42) )
      & ( esk1_1(X42) != esk2_1(X42)
        | ~ cUnsatisfiable(X42) )
      & ( esk1_1(X42) != esk3_1(X42)
        | ~ cUnsatisfiable(X42) )
      & ( esk2_1(X42) != esk3_1(X42)
        | ~ cUnsatisfiable(X42) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | X1 = X3
    | X2 = X3
    | ~ rinvP(ispy,X1)
    | ~ rinvP(ispy,X2)
    | ~ rinvP(ispy,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    rinvP(ispy,X1),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    ( esk1_1(X1) != esk3_1(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,plain,
    ( X1 = X2
    | X3 = X2
    | X3 = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_20]),c_0_20])]) ).

cnf(c_0_23,plain,
    ( esk2_1(X1) != esk3_1(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,plain,
    ( esk1_1(X1) = X2
    | esk3_1(X1) = X2
    | ~ cUnsatisfiable(X1) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22])]) ).

cnf(c_0_25,plain,
    ( esk1_1(X1) != esk2_1(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    cUnsatisfiable(i2003_11_14_17_19_53168),
    inference(split_conjunct,[status(thm)],[axiom_7]) ).

cnf(c_0_27,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24])]),c_0_25]) ).

cnf(c_0_28,plain,
    $false,
    inference(sr,[status(thm)],[c_0_26,c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS089+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 13:52:49 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  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.6uGvXAAc8V/E---3.1_15881.p
% 0.20/0.49  # Version: 3.1.0
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 15958 completed with status 0
% 0.20/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: FGHSF-FFSF11-SFFFFFNN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.49  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.49  # Starting sh5l with 136s (1) cores
% 0.20/0.49  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 15971 completed with status 0
% 0.20/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: FGHSF-FFSF11-SFFFFFNN
% 0.20/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 811s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Unsatisfiable
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 19
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 28
% 0.20/0.49  # Removed in clause preprocessing      : 14
% 0.20/0.49  # Initial clauses in saturation        : 14
% 0.20/0.49  # Processed clauses                    : 31
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 31
% 0.20/0.49  # Other redundant clauses eliminated   : 19
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 7
% 0.20/0.49  # Backward-rewritten                   : 0
% 0.20/0.49  # Generated clauses                    : 114
% 0.20/0.49  # ...of the previous two non-redundant : 66
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 1
% 0.20/0.49  # Paramodulations                      : 68
% 0.20/0.49  # Factorizations                       : 26
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 19
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 4
% 0.20/0.49  # ...of those cached                   : 0
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 9
% 0.20/0.49  #    Positive orientable unit clauses  : 2
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 2
% 0.20/0.49  #    Non-unit-clauses                  : 5
% 0.20/0.49  # Current number of unprocessed clauses: 63
% 0.20/0.49  # ...number of literals in the above   : 216
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 24
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 30
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 20
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 1
% 0.20/0.49  # Unit Clause-clause subsumption calls : 8
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 0
% 0.20/0.49  # BW rewrite match successes           : 0
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 1935
% 0.20/0.49  # Search garbage collected termcells   : 361
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.008 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.009 s
% 0.20/0.49  # Maximum resident set size: 1768 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.021 s
% 0.20/0.49  # System time              : 0.006 s
% 0.20/0.49  # Total time               : 0.027 s
% 0.20/0.49  # Maximum resident set size: 1716 pages
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------