TSTP Solution File: KRS157+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS157+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 08:13:21 EDT 2024

% Result   : Theorem 0.22s 0.53s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   39 (   8 unt;   0 def)
%            Number of atoms       :  163 (   0 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  212 (  88   ~;  79   |;  37   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   29 (   2 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cC14(iV3102)
    & cC44(iV3102)
    & cC216(iV3102)
    & cC64(iV3102)
    & cC46(iV3102)
    & cC28(iV3102)
    & cowlThing(iV3102)
    & cC30(iV3102) ),
    file('/export/starexec/sandbox2/tmp/tmp.hEHgsy64Kg/E---3.1_10744.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.hEHgsy64Kg/E---3.1_10744.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.hEHgsy64Kg/E---3.1_10744.p',axiom_1) ).

fof(axiom_132,axiom,
    ! [X1] :
      ( cC30(X1)
    <=> ( cC28(X1)
        & cC14(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.hEHgsy64Kg/E---3.1_10744.p',axiom_132) ).

fof(axiom_121,axiom,
    ! [X1] :
      ( cC216(X1)
    <=> ( cC64(X1)
        & cC214xcomp(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.hEHgsy64Kg/E---3.1_10744.p',axiom_121) ).

fof(axiom_148,axiom,
    ! [X1] :
      ( cC46(X1)
    <=> ( cC30(X1)
        & cC44(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.hEHgsy64Kg/E---3.1_10744.p',axiom_148) ).

fof(axiom_201,axiom,
    ! [X1] :
      ( cTEST(X1)
    <=> ( cC216(X1)
        & cC46(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.hEHgsy64Kg/E---3.1_10744.p',axiom_201) ).

fof(axiom_202,axiom,
    cTEST(iV3102),
    file('/export/starexec/sandbox2/tmp/tmp.hEHgsy64Kg/E---3.1_10744.p',axiom_202) ).

fof(c_0_8,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC14(iV3102)
      & cC44(iV3102)
      & cC216(iV3102)
      & cC64(iV3102)
      & cC46(iV3102)
      & cC28(iV3102)
      & cowlThing(iV3102)
      & cC30(iV3102) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).

fof(c_0_9,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_10,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

fof(c_0_11,negated_conjecture,
    ( ( ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cC14(iV3102)
      | ~ cC44(iV3102)
      | ~ cC216(iV3102)
      | ~ cC64(iV3102)
      | ~ cC46(iV3102)
      | ~ cC28(iV3102)
      | ~ cowlThing(iV3102)
      | ~ cC30(iV3102) )
    & ( xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cC14(iV3102)
      | ~ cC44(iV3102)
      | ~ cC216(iV3102)
      | ~ cC64(iV3102)
      | ~ cC46(iV3102)
      | ~ cC28(iV3102)
      | ~ cowlThing(iV3102)
      | ~ cC30(iV3102) ) ),
    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_8])])])])]) ).

fof(c_0_12,plain,
    ! [X8] :
      ( cowlThing(X8)
      & ~ cowlNothing(X8) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).

fof(c_0_13,plain,
    ! [X15] :
      ( ( ~ xsd_string(X15)
        | ~ xsd_integer(X15) )
      & ( xsd_integer(X15)
        | xsd_string(X15) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

fof(c_0_14,plain,
    ! [X6] :
      ( ( cC28(X6)
        | ~ cC30(X6) )
      & ( cC14(X6)
        | ~ cC30(X6) )
      & ( ~ cC28(X6)
        | ~ cC14(X6)
        | cC30(X6) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_132])])])]) ).

fof(c_0_15,plain,
    ! [X11] :
      ( ( cC64(X11)
        | ~ cC216(X11) )
      & ( cC214xcomp(X11)
        | ~ cC216(X11) )
      & ( ~ cC64(X11)
        | ~ cC214xcomp(X11)
        | cC216(X11) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_121])])])]) ).

fof(c_0_16,plain,
    ! [X7] :
      ( ( cC30(X7)
        | ~ cC46(X7) )
      & ( cC44(X7)
        | ~ cC46(X7) )
      & ( ~ cC30(X7)
        | ~ cC44(X7)
        | cC46(X7) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_148])])])]) ).

cnf(c_0_17,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC30(iV3102) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    ( xsd_integer(X1)
    | xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ( cC14(X1)
    | ~ cC30(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( cC64(X1)
    | ~ cC216(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( cC28(X1)
    | ~ cC30(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_24,plain,
    ( cC30(X1)
    | ~ cC46(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    ( xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC30(iV3102) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_26,plain,
    ! [X10] :
      ( ( cC216(X10)
        | ~ cTEST(X10) )
      & ( cC46(X10)
        | ~ cTEST(X10) )
      & ( ~ cC216(X10)
        | ~ cC46(X10)
        | cTEST(X10) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_201])])])]) ).

cnf(c_0_27,plain,
    ( ~ xsd_string(X1)
    | ~ xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_28,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18])]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_18]),c_0_18])]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]) ).

cnf(c_0_30,plain,
    ( cC216(X1)
    | ~ cTEST(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,plain,
    cTEST(iV3102),
    inference(split_conjunct,[status(thm)],[axiom_202]) ).

cnf(c_0_32,plain,
    ( cC46(X1)
    | ~ cTEST(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ cC46(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_34,plain,
    cC216(iV3102),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    cC46(iV3102),
    inference(spm,[status(thm)],[c_0_32,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ~ cC44(iV3102),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),c_0_35])]) ).

cnf(c_0_37,plain,
    ( cC44(X1)
    | ~ cC46(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_38,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KRS157+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 13:42:56 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order model finding
% 0.22/0.50  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.hEHgsy64Kg/E---3.1_10744.p
% 0.22/0.53  # Version: 3.1.0
% 0.22/0.53  # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.22/0.53  # Starting new_bool_3 with 600s (2) cores
% 0.22/0.53  # Starting new_bool_1 with 600s (2) cores
% 0.22/0.53  # Starting sh5l with 300s (1) cores
% 0.22/0.53  # new_bool_3 with pid 10822 completed with status 0
% 0.22/0.53  # Result found by new_bool_3
% 0.22/0.53  # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.22/0.53  # Starting new_bool_3 with 600s (2) cores
% 0.22/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.53  # Search class: FGHNF-FFMM11-SFFFFFNN
% 0.22/0.53  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.22/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.22/0.53  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.22/0.53  # SAT001_MinMin_p005000_rr_RG with pid 10826 completed with status 0
% 0.22/0.53  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.53  # Preprocessing class: FSLMSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.22/0.53  # Starting new_bool_3 with 600s (2) cores
% 0.22/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.53  # Search class: FGHNF-FFMM11-SFFFFFNN
% 0.22/0.53  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.22/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.22/0.53  # Preprocessing time       : 0.002 s
% 0.22/0.53  # Presaturation interreduction done
% 0.22/0.53  
% 0.22/0.53  # Proof found!
% 0.22/0.53  # SZS status Theorem
% 0.22/0.53  # SZS output start CNFRefutation
% See solution above
% 0.22/0.53  # Parsed axioms                        : 220
% 0.22/0.53  # Removed by relevancy pruning/SinE    : 188
% 0.22/0.53  # Initial clauses                      : 61
% 0.22/0.53  # Removed in clause preprocessing      : 0
% 0.22/0.53  # Initial clauses in saturation        : 61
% 0.22/0.53  # Processed clauses                    : 96
% 0.22/0.53  # ...of these trivial                  : 0
% 0.22/0.53  # ...subsumed                          : 0
% 0.22/0.53  # ...remaining for further processing  : 96
% 0.22/0.53  # Other redundant clauses eliminated   : 0
% 0.22/0.53  # Clauses deleted for lack of memory   : 0
% 0.22/0.53  # Backward-subsumed                    : 2
% 0.22/0.53  # Backward-rewritten                   : 2
% 0.22/0.53  # Generated clauses                    : 8
% 0.22/0.53  # ...of the previous two non-redundant : 7
% 0.22/0.53  # ...aggressively subsumed             : 0
% 0.22/0.53  # Contextual simplify-reflections      : 11
% 0.22/0.53  # Paramodulations                      : 8
% 0.22/0.53  # Factorizations                       : 0
% 0.22/0.53  # NegExts                              : 0
% 0.22/0.53  # Equation resolutions                 : 0
% 0.22/0.53  # Disequality decompositions           : 0
% 0.22/0.53  # Total rewrite steps                  : 8
% 0.22/0.53  # ...of those cached                   : 4
% 0.22/0.53  # Propositional unsat checks           : 0
% 0.22/0.53  #    Propositional check models        : 0
% 0.22/0.53  #    Propositional check unsatisfiable : 0
% 0.22/0.53  #    Propositional clauses             : 0
% 0.22/0.53  #    Propositional clauses after purity: 0
% 0.22/0.53  #    Propositional unsat core size     : 0
% 0.22/0.53  #    Propositional preprocessing time  : 0.000
% 0.22/0.53  #    Propositional encoding time       : 0.000
% 0.22/0.53  #    Propositional solver time         : 0.000
% 0.22/0.53  #    Success case prop preproc time    : 0.000
% 0.22/0.53  #    Success case prop encoding time   : 0.000
% 0.22/0.53  #    Success case prop solver time     : 0.000
% 0.22/0.53  # Current number of processed clauses  : 32
% 0.22/0.53  #    Positive orientable unit clauses  : 16
% 0.22/0.53  #    Positive unorientable unit clauses: 0
% 0.22/0.53  #    Negative unit clauses             : 2
% 0.22/0.53  #    Non-unit-clauses                  : 14
% 0.22/0.53  # Current number of unprocessed clauses: 32
% 0.22/0.53  # ...number of literals in the above   : 72
% 0.22/0.53  # Current number of archived formulas  : 0
% 0.22/0.53  # Current number of archived clauses   : 64
% 0.22/0.53  # Clause-clause subsumption calls (NU) : 576
% 0.22/0.53  # Rec. Clause-clause subsumption calls : 384
% 0.22/0.53  # Non-unit clause-clause subsumptions  : 13
% 0.22/0.53  # Unit Clause-clause subsumption calls : 0
% 0.22/0.53  # Rewrite failures with RHS unbound    : 0
% 0.22/0.53  # BW rewrite match attempts            : 2
% 0.22/0.53  # BW rewrite match successes           : 2
% 0.22/0.53  # Condensation attempts                : 0
% 0.22/0.53  # Condensation successes               : 0
% 0.22/0.53  # Termbank termtop insertions          : 4919
% 0.22/0.53  # Search garbage collected termcells   : 1911
% 0.22/0.53  
% 0.22/0.53  # -------------------------------------------------
% 0.22/0.53  # User time                : 0.007 s
% 0.22/0.53  # System time              : 0.003 s
% 0.22/0.53  # Total time               : 0.010 s
% 0.22/0.53  # Maximum resident set size: 2424 pages
% 0.22/0.53  
% 0.22/0.53  # -------------------------------------------------
% 0.22/0.53  # User time                : 0.013 s
% 0.22/0.53  # System time              : 0.010 s
% 0.22/0.53  # Total time               : 0.022 s
% 0.22/0.53  # Maximum resident set size: 1932 pages
% 0.22/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------