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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:00:49 PM UTC 2026

% Result   : Theorem 0.13s 0.41s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   34 (   8 unt;   0 def)
%            Number of atoms       :   98 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  115 (  51   ~;  39   |;  18   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   33 (   4 sgn  20   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( cEuroMP(iKinnock)
    & ! [X4] :
        ( xsd_string(X4)
      <=> ~ xsd_integer(X4) )
    & ! [X4] :
        ( ~ cowlNothing(X4)
        & cowlThing(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X4] :
      ( ~ cowlNothing(X4)
      & cowlThing(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_3,axiom,
    ! [X4] :
      ( cEuroMP(X4)
    <=> ? [X5] :
          ( cowlThing(X5)
          & risEuroMPFrom(X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(axiom_1,axiom,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_5,axiom,
    ! [X4,X5] :
      ( risEuroMPFrom(X4,X5)
    <=> rhasEuroMP(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(axiom_13,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(c_0_6,negated_conjecture,
    ~ ( cEuroMP(iKinnock)
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4] :
          ( ~ cowlNothing(X4)
          & cowlThing(X4) ) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

fof(c_0_7,plain,
    ! [X4] :
      ( ~ cowlNothing(X4)
      & cowlThing(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_8,negated_conjecture,
    ~ ( cEuroMP(iKinnock)
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4] :
          ( ~ cowlNothing(X4)
          & cowlThing(X4) ) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X37,X39,X40] :
      ( ( cEuroMP(X39)
        | ~ cowlThing(X40)
        | ~ risEuroMPFrom(X39,X40) )
      & ( ~ cEuroMP(X37)
        | cowlThing(esk1_1(X37)) )
      & ( ~ cEuroMP(X37)
        | risEuroMPFrom(X37,esk1_1(X37)) ) ),
    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)],[axiom_3])])])])])])]) ).

fof(c_0_10,plain,
    ! [X34] :
      ( ~ cowlNothing(X34)
      & cowlThing(X34) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_7])]) ).

fof(c_0_11,negated_conjecture,
    ( ( ~ cEuroMP(iKinnock)
      | cowlNothing(esk2_0)
      | ~ cowlThing(esk2_0)
      | ~ xsd_integer(esk3_0)
      | xsd_string(esk3_0) )
    & ( ~ cEuroMP(iKinnock)
      | cowlNothing(esk2_0)
      | ~ cowlThing(esk2_0)
      | xsd_integer(esk3_0)
      | ~ xsd_string(esk3_0) ) ),
    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,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_13,plain,
    ( ~ cowlThing(X2)
    | ~ risEuroMPFrom(X1,X2)
    | cEuroMP(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ! [X43,X44] :
      ( ( risEuroMPFrom(X43,X44)
        | ~ rhasEuroMP(X44,X43) )
      & ( rhasEuroMP(X44,X43)
        | ~ risEuroMPFrom(X43,X44) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ cEuroMP(iKinnock)
    | ~ cowlThing(esk2_0)
    | ~ xsd_string(esk3_0)
    | cowlNothing(esk2_0)
    | xsd_integer(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_17,plain,
    ! [X35] :
      ( ( xsd_string(X35)
        | xsd_integer(X35) )
      & ( ~ xsd_integer(X35)
        | ~ xsd_string(X35) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

cnf(c_0_18,plain,
    ( ~ risEuroMPFrom(X1,X2)
    | cEuroMP(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_19,plain,
    ( ~ rhasEuroMP(X1,X2)
    | risEuroMPFrom(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ cEuroMP(iKinnock)
    | ~ cowlThing(esk2_0)
    | ~ xsd_integer(esk3_0)
    | cowlNothing(esk2_0)
    | xsd_string(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ xsd_string(esk3_0)
    | ~ cEuroMP(iKinnock)
    | xsd_integer(esk3_0)
    | cowlNothing(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14])]) ).

cnf(c_0_22,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    ( ~ rhasEuroMP(X2,X1)
    | cEuroMP(X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(split_conjunct,[status(thm)],[axiom_13]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ xsd_integer(esk3_0)
    | ~ cEuroMP(iKinnock)
    | xsd_string(esk3_0)
    | cowlNothing(esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_14])]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ cEuroMP(iKinnock)
    | ~ xsd_string(esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_28,plain,
    cEuroMP(iKinnock),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ cEuroMP(iKinnock)
    | ~ xsd_integer(esk3_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_22]),c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ~ xsd_string(esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).

cnf(c_0_31,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_32,negated_conjecture,
    ~ xsd_integer(esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_28])]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS129+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n009.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 20 22:54:27 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41  % Version: 3.5.1
% 0.13/0.41  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.41  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.41  % Starting new_bool_3 with 300s (1) cores
% 0.13/0.41  % Starting new_bool_1 with 300s (1) cores
% 0.13/0.41  % Starting sh5l with 300s (1) cores
% 0.13/0.41  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 232285 completed with status 0
% 0.13/0.41  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.41  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.41  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.41  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.41  % No SInE strategy applied
% 0.13/0.41  % Search class: FGHSF-FFSM11-SFFFFFNN
% 0.13/0.41  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.41  % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.41  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.41  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.41  % Starting new_bool_3 with 136s (1) cores
% 0.13/0.41  % Starting new_bool_1 with 136s (1) cores
% 0.13/0.41  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 232293 completed with status 0
% 0.13/0.41  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.13/0.41  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.41  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.41  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.41  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.41  % No SInE strategy applied
% 0.13/0.41  % Search class: FGHSF-FFSM11-SFFFFFNN
% 0.13/0.41  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.41  % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.41  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.41  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.41  % Preprocessing time       : 0.001 s
% 0.13/0.41  % Presaturation interreduction done
% 0.13/0.41  
% 0.13/0.41  % Proof found!
% 0.13/0.41  % SZS status Theorem
% 0.13/0.41  % SZS output start CNFRefutation
% See solution above
% 0.13/0.41  % Parsed axioms                        : 27
% 0.13/0.41  % Removed by relevancy pruning/SinE    : 0
% 0.13/0.41  % Initial clauses                      : 39
% 0.13/0.41  % Removed in clause preprocessing      : 14
% 0.13/0.41  % Initial clauses in saturation        : 25
% 0.13/0.41  % Processed clauses                    : 60
% 0.13/0.41  % ...of these trivial                  : 0
% 0.13/0.41  % ...subsumed                          : 0
% 0.13/0.41  % ...remaining for further processing  : 60
% 0.13/0.41  % Other redundant clauses eliminated   : 6
% 0.13/0.41  % Clauses deleted for lack of memory   : 0
% 0.13/0.41  % Backward-subsumed                    : 0
% 0.13/0.41  % Backward-rewritten                   : 2
% 0.13/0.41  % Generated clauses                    : 14
% 0.13/0.41  % ...of the previous two non-redundant : 11
% 0.13/0.41  % ...aggressively subsumed             : 0
% 0.13/0.41  % Contextual simplify-reflections      : 2
% 0.13/0.41  % Paramodulations                      : 8
% 0.13/0.41  % Factorizations                       : 0
% 0.13/0.41  % NegExts                              : 0
% 0.13/0.41  % Equation resolutions                 : 6
% 0.13/0.41  % Disequality decompositions           : 0
% 0.13/0.41  % Total rewrite steps                  : 3
% 0.13/0.41  % ...of those cached                   : 1
% 0.13/0.41  % Propositional unsat checks           : 0
% 0.13/0.41  %    Propositional check models        : 0
% 0.13/0.41  %    Propositional check unsatisfiable : 0
% 0.13/0.41  %    Propositional clauses             : 0
% 0.13/0.41  %    Propositional clauses after purity: 0
% 0.13/0.41  %    Propositional unsat core size     : 0
% 0.13/0.41  %    Propositional preprocessing time  : 0.000
% 0.13/0.41  %    Propositional encoding time       : 0.000
% 0.13/0.41  %    Propositional solver time         : 0.000
% 0.13/0.41  %    Success case prop preproc time    : 0.000
% 0.13/0.41  %    Success case prop encoding time   : 0.000
% 0.13/0.41  %    Success case prop solver time     : 0.000
% 0.13/0.41  % Current number of processed clauses  : 27
% 0.13/0.41  %    Positive orientable unit clauses  : 15
% 0.13/0.41  %    Positive unorientable unit clauses: 0
% 0.13/0.41  %    Negative unit clauses             : 3
% 0.13/0.41  %    Non-unit-clauses                  : 9
% 0.13/0.41  % Current number of unprocessed clauses: 1
% 0.13/0.41  % ...number of literals in the above   : 2
% 0.13/0.41  % Current number of archived formulas  : 0
% 0.13/0.41  % Current number of archived clauses   : 28
% 0.13/0.41  % Clause-clause subsumption calls (NU) : 39
% 0.13/0.41  % Rec. Clause-clause subsumption calls : 31
% 0.13/0.41  % Non-unit clause-clause subsumptions  : 2
% 0.13/0.41  % Unit Clause-clause subsumption calls : 25
% 0.13/0.41  % Rewrite failures with RHS unbound    : 0
% 0.13/0.41  % BW rewrite match attempts            : 1
% 0.13/0.41  % BW rewrite match successes           : 1
% 0.13/0.41  % Condensation attempts                : 0
% 0.13/0.41  % Condensation successes               : 0
% 0.13/0.41  % Termbank termtop insertions          : 2209
% 0.13/0.41  % Search garbage collected termcells   : 466
% 0.13/0.41  
% 0.13/0.41  % -------------------------------------------------
% 0.13/0.41  % User time                : 0.006 s
% 0.13/0.41  % System time              : 0.002 s
% 0.13/0.41  % Total time               : 0.008 s
% 0.13/0.41  % Maximum resident set size: 3400 pages
% 0.13/0.41  
% 0.13/0.41  % -------------------------------------------------
% 0.13/0.41  % User time                : 0.013 s
% 0.13/0.41  % System time              : 0.015 s
% 0.13/0.41  % Total time               : 0.027 s
% 0.13/0.41  % Maximum resident set size: 4608 pages
% 0.13/0.41  % E exiting
%------------------------------------------------------------------------------