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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 01:01:03 PM UTC 2026

% Result   : Theorem 0.07s 0.35s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  13 unt;   0 def)
%            Number of atoms       :  122 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  146 (  59   ~;  51   |;  29   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (   2 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( cowlThing(iV21081)
    & cC10(iV21081)
    & cC12(iV21080)
    & cowlThing(iV21080)
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & ! [X1] :
        ( ~ cowlNothing(X1)
        & cowlThing(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( ~ cowlNothing(X1)
      & cowlThing(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cC10(X1)
    <=> ( cC2(X1)
        & cC4(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_12,axiom,
    ! [X1] :
      ( cTEST(X1)
    <=> ( cC12(X1)
        & cC8xcomp(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(axiom_20,axiom,
    cC2(iV21081),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(axiom_18,axiom,
    cC4(iV21081),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

fof(axiom_13,axiom,
    cTEST(iV21080),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(c_0_8,negated_conjecture,
    ~ ( cowlThing(iV21081)
      & cC10(iV21081)
      & cC12(iV21080)
      & cowlThing(iV21080)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

fof(c_0_9,negated_conjecture,
    ~ ( cowlThing(iV21081)
      & cC10(iV21081)
      & cC12(iV21080)
      & cowlThing(iV21080)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_10,plain,
    ! [X1] :
      ( ~ cowlNothing(X1)
      & cowlThing(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_11,negated_conjecture,
    ( ( ~ cowlThing(iV21081)
      | ~ cC10(iV21081)
      | ~ cC12(iV21080)
      | ~ cowlThing(iV21080)
      | cowlNothing(esk9_0)
      | ~ cowlThing(esk9_0)
      | ~ xsd_integer(esk10_0)
      | xsd_string(esk10_0) )
    & ( ~ cowlThing(iV21081)
      | ~ cC10(iV21081)
      | ~ cC12(iV21080)
      | ~ cowlThing(iV21080)
      | cowlNothing(esk9_0)
      | ~ cowlThing(esk9_0)
      | xsd_integer(esk10_0)
      | ~ xsd_string(esk10_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_9])])])])]) ).

fof(c_0_12,plain,
    ! [X4] :
      ( ~ cowlNothing(X4)
      & cowlThing(X4) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

fof(c_0_13,plain,
    ! [X6] :
      ( ( cC10(X6)
        | ~ cC2(X6)
        | ~ cC4(X6) )
      & ( ~ cC10(X6)
        | cC2(X6) )
      & ( ~ cC10(X6)
        | cC4(X6) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).

fof(c_0_14,plain,
    ! [X40] :
      ( ( cTEST(X40)
        | ~ cC12(X40)
        | ~ cC8xcomp(X40) )
      & ( ~ cTEST(X40)
        | cC12(X40) )
      & ( ~ cTEST(X40)
        | cC8xcomp(X40) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_12])])])]) ).

fof(c_0_15,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ cowlThing(iV21081)
    | ~ cC10(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(iV21080)
    | ~ cowlThing(esk9_0)
    | ~ xsd_integer(esk10_0)
    | cowlNothing(esk9_0)
    | xsd_string(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    ( ~ cC2(X1)
    | ~ cC4(X1)
    | cC10(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    cC2(iV21081),
    inference(split_conjunct,[status(thm)],[axiom_20]) ).

cnf(c_0_20,plain,
    cC4(iV21081),
    inference(split_conjunct,[status(thm)],[axiom_18]) ).

cnf(c_0_21,plain,
    ( ~ cTEST(X1)
    | cC12(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    cTEST(iV21080),
    inference(split_conjunct,[status(thm)],[axiom_13]) ).

fof(c_0_23,plain,
    ! [X5] :
      ( ( xsd_string(X5)
        | xsd_integer(X5) )
      & ( ~ xsd_integer(X5)
        | ~ xsd_string(X5) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ cowlThing(iV21081)
    | ~ cC10(iV21081)
    | ~ cC12(iV21080)
    | ~ cowlThing(iV21080)
    | ~ cowlThing(esk9_0)
    | ~ xsd_string(esk10_0)
    | cowlNothing(esk9_0)
    | xsd_integer(esk10_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ cC12(iV21080)
    | ~ cC10(iV21081)
    | ~ xsd_integer(esk10_0)
    | xsd_string(esk10_0)
    | cowlNothing(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]),c_0_17])]) ).

cnf(c_0_26,plain,
    cC10(iV21081),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_27,plain,
    cC12(iV21080),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_29,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ cC12(iV21080)
    | ~ cC10(iV21081)
    | ~ xsd_string(esk10_0)
    | xsd_integer(esk10_0)
    | cowlNothing(esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_17]),c_0_17]),c_0_17])]) ).

cnf(c_0_31,negated_conjecture,
    xsd_string(esk10_0),
    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_26]),c_0_27])]),c_0_28]),c_0_29]) ).

cnf(c_0_32,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,negated_conjecture,
    xsd_integer(esk10_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_26]),c_0_27])]),c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : KRS160+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.31  % Computer : n012.cluster.edu
% 0.03/0.31  % Model    : x86_64 x86_64
% 0.03/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31  % Memory   : 8046.5625MB
% 0.03/0.31  % OS       : Linux 6.8.0-71-generic
% 0.03/0.31  % CPULimit : 300
% 0.03/0.31  % WCLimit  : 300
% 0.03/0.31  % DateTime : Sun Sep 20 22:54:52 UTC 2026
% 0.03/0.31  % CPUTime  : 
% 0.03/0.31  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33  Running first-order theorem proving
% 0.07/0.33  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
% 0.07/0.35  % Version: 3.5.1
% 0.07/0.35  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.35  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.35  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.35  % Starting new_bool_3 with 300s (1) cores
% 0.07/0.35  % Starting new_bool_1 with 300s (1) cores
% 0.07/0.35  % Starting sh5l with 300s (1) cores
% 0.07/0.35  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1037383 completed with status 0
% 0.07/0.35  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.07/0.35  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.35  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.35  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.35  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.35  % No SInE strategy applied
% 0.07/0.35  % Search class: FGHNF-FFSM11-SFFFFFNN
% 0.07/0.35  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.35  % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.35  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.07/0.35  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.07/0.35  % Starting new_bool_3 with 136s (1) cores
% 0.07/0.35  % Starting new_bool_1 with 136s (1) cores
% 0.07/0.35  % SubtermCWHack with pid 1037387 completed with status 0
% 0.07/0.35  % Result found by SubtermCWHack
% 0.07/0.35  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.35  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.35  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.35  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.35  % No SInE strategy applied
% 0.07/0.35  % Search class: FGHNF-FFSM11-SFFFFFNN
% 0.07/0.35  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.07/0.35  % Starting SubtermCWHack with 136s (1) cores
% 0.07/0.35  % Preprocessing time       : 0.001 s
% 0.07/0.35  
% 0.07/0.35  % Proof found!
% 0.07/0.35  % SZS status Theorem
% 0.07/0.35  % SZS output start CNFRefutation
% See solution above
% 0.07/0.35  % Parsed axioms                        : 23
% 0.07/0.35  % Removed by relevancy pruning/SinE    : 0
% 0.07/0.35  % Initial clauses                      : 42
% 0.07/0.35  % Removed in clause preprocessing      : 3
% 0.07/0.35  % Initial clauses in saturation        : 39
% 0.07/0.35  % Processed clauses                    : 44
% 0.07/0.35  % ...of these trivial                  : 0
% 0.07/0.35  % ...subsumed                          : 0
% 0.07/0.35  % ...remaining for further processing  : 44
% 0.07/0.35  % Other redundant clauses eliminated   : 0
% 0.07/0.35  % Clauses deleted for lack of memory   : 0
% 0.07/0.35  % Backward-subsumed                    : 0
% 0.07/0.35  % Backward-rewritten                   : 0
% 0.07/0.35  % Generated clauses                    : 24
% 0.07/0.35  % ...of the previous two non-redundant : 12
% 0.07/0.35  % ...aggressively subsumed             : 0
% 0.07/0.35  % Contextual simplify-reflections      : 1
% 0.07/0.35  % Paramodulations                      : 24
% 0.07/0.35  % Factorizations                       : 0
% 0.07/0.35  % NegExts                              : 0
% 0.07/0.35  % Equation resolutions                 : 0
% 0.07/0.35  % Disequality decompositions           : 0
% 0.07/0.35  % Total rewrite steps                  : 8
% 0.07/0.35  % ...of those cached                   : 3
% 0.07/0.35  % Propositional unsat checks           : 0
% 0.07/0.35  %    Propositional check models        : 0
% 0.07/0.35  %    Propositional check unsatisfiable : 0
% 0.07/0.35  %    Propositional clauses             : 0
% 0.07/0.35  %    Propositional clauses after purity: 0
% 0.07/0.35  %    Propositional unsat core size     : 0
% 0.07/0.35  %    Propositional preprocessing time  : 0.000
% 0.07/0.35  %    Propositional encoding time       : 0.000
% 0.07/0.35  %    Propositional solver time         : 0.000
% 0.07/0.35  %    Success case prop preproc time    : 0.000
% 0.07/0.35  %    Success case prop encoding time   : 0.000
% 0.07/0.35  %    Success case prop solver time     : 0.000
% 0.07/0.35  % Current number of processed clauses  : 44
% 0.07/0.35  %    Positive orientable unit clauses  : 10
% 0.07/0.35  %    Positive unorientable unit clauses: 0
% 0.07/0.35  %    Negative unit clauses             : 2
% 0.07/0.35  %    Non-unit-clauses                  : 32
% 0.07/0.35  % Current number of unprocessed clauses: 7
% 0.07/0.35  % ...number of literals in the above   : 16
% 0.07/0.35  % Current number of archived formulas  : 0
% 0.07/0.35  % Current number of archived clauses   : 1
% 0.07/0.35  % Clause-clause subsumption calls (NU) : 272
% 0.07/0.35  % Rec. Clause-clause subsumption calls : 219
% 0.07/0.35  % Non-unit clause-clause subsumptions  : 1
% 0.07/0.35  % Unit Clause-clause subsumption calls : 3
% 0.07/0.35  % Rewrite failures with RHS unbound    : 0
% 0.07/0.35  % BW rewrite match attempts            : 0
% 0.07/0.35  % BW rewrite match successes           : 0
% 0.07/0.35  % Condensation attempts                : 0
% 0.07/0.35  % Condensation successes               : 0
% 0.07/0.35  % Termbank termtop insertions          : 2413
% 0.07/0.35  % Search garbage collected termcells   : 560
% 0.07/0.35  
% 0.07/0.35  % -------------------------------------------------
% 0.07/0.35  % User time                : 0.003 s
% 0.07/0.35  % System time              : 0.003 s
% 0.07/0.35  % Total time               : 0.006 s
% 0.07/0.35  % Maximum resident set size: 3648 pages
% 0.07/0.35  
% 0.07/0.35  % -------------------------------------------------
% 0.07/0.35  % User time                : 0.009 s
% 0.07/0.35  % System time              : 0.011 s
% 0.07/0.35  % Total time               : 0.020 s
% 0.07/0.35  % Maximum resident set size: 4864 pages
% 0.07/0.35  % E exiting
%------------------------------------------------------------------------------