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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 03:47:45 PM UTC 2026

% Result   : Theorem 0.13s 0.46s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :   94 (  29   ~;  26   |;  25   &)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   29 (   0 sgn  17   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals_886,conjecture,
    ( ! [X1061] :
        ( b48_buttercup10305(X1061)
       => ~ k04_buttercup10303(X1061) )
    | ( ? [X1060] :
          ( ~ b48_buttercup10305(X1060)
          & k04_buttercup10303(X1060) )
      & ! [X1059] :
          ( b48_buttercup10305(X1059)
         => k04_buttercup10303(X1059) ) )
    | ( ? [X1058] :
          ( ~ k04_buttercup10303(X1058)
          & b48_buttercup10305(X1058) )
      & ! [X1057] :
          ( k04_buttercup10303(X1057)
         => b48_buttercup10305(X1057) ) )
    | ! [X1056] :
        ( b48_buttercup10305(X1056)
      <=> k04_buttercup10303(X1056) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_886) ).

fof(sos_320,axiom,
    ( ? [X321] :
        ( ~ b48_buttercup10305(X321)
        & k04_buttercup10303(X321) )
    & ! [X320] :
        ( b48_buttercup10305(X320)
       => k04_buttercup10303(X320) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_320) ).

fof(c_0_2,negated_conjecture,
    ~ ( ! [X1061] :
          ( b48_buttercup10305(X1061)
         => ~ k04_buttercup10303(X1061) )
      | ( ? [X1060] :
            ( ~ b48_buttercup10305(X1060)
            & k04_buttercup10303(X1060) )
        & ! [X1059] :
            ( b48_buttercup10305(X1059)
           => k04_buttercup10303(X1059) ) )
      | ( ? [X1058] :
            ( ~ k04_buttercup10303(X1058)
            & b48_buttercup10305(X1058) )
        & ! [X1057] :
            ( k04_buttercup10303(X1057)
           => b48_buttercup10305(X1057) ) )
      | ! [X1056] :
          ( b48_buttercup10305(X1056)
        <=> k04_buttercup10303(X1056) ) ),
    inference(assume_negation,[status(cth)],[goals_886]) ).

fof(c_0_3,negated_conjecture,
    ~ ( ! [X1061] :
          ( b48_buttercup10305(X1061)
         => ~ k04_buttercup10303(X1061) )
      | ( ? [X1060] :
            ( ~ b48_buttercup10305(X1060)
            & k04_buttercup10303(X1060) )
        & ! [X1059] :
            ( b48_buttercup10305(X1059)
           => k04_buttercup10303(X1059) ) )
      | ( ? [X1058] :
            ( ~ k04_buttercup10303(X1058)
            & b48_buttercup10305(X1058) )
        & ! [X1057] :
            ( k04_buttercup10303(X1057)
           => b48_buttercup10305(X1057) ) )
      | ! [X1056] :
          ( b48_buttercup10305(X1056)
        <=> k04_buttercup10303(X1056) ) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_4,plain,
    ( ? [X321] :
        ( ~ b48_buttercup10305(X321)
        & k04_buttercup10303(X321) )
    & ! [X320] :
        ( b48_buttercup10305(X320)
       => k04_buttercup10303(X320) ) ),
    inference(fof_simplification,[status(thm)],[sos_320]) ).

fof(c_0_5,negated_conjecture,
    ! [X1064,X1066] :
      ( k04_buttercup10303(esk4_0)
      & b48_buttercup10305(esk4_0)
      & ( b48_buttercup10305(X1066)
        | ~ k04_buttercup10303(X1066)
        | ~ k04_buttercup10303(esk3_0) )
      & ( b48_buttercup10305(X1066)
        | ~ k04_buttercup10303(X1066)
        | b48_buttercup10305(esk3_0) )
      & ( k04_buttercup10303(X1064)
        | ~ b48_buttercup10305(X1064)
        | ~ b48_buttercup10305(esk2_0) )
      & ( k04_buttercup10303(X1064)
        | ~ b48_buttercup10305(X1064)
        | k04_buttercup10303(esk2_0) )
      & ( k04_buttercup10303(esk1_0)
        | b48_buttercup10305(esk1_0) )
      & ( ~ k04_buttercup10303(esk1_0)
        | ~ b48_buttercup10305(esk1_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).

fof(c_0_6,plain,
    ! [X1069] :
      ( ~ b48_buttercup10305(esk5_0)
      & k04_buttercup10303(esk5_0)
      & ( k04_buttercup10303(X1069)
        | ~ b48_buttercup10305(X1069) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ k04_buttercup10303(X1)
    | b48_buttercup10305(X1)
    | b48_buttercup10305(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    k04_buttercup10303(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ~ b48_buttercup10305(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( ~ b48_buttercup10305(X1)
    | k04_buttercup10303(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    b48_buttercup10305(esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ k04_buttercup10303(X1)
    | ~ k04_buttercup10303(esk3_0)
    | b48_buttercup10305(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    k04_buttercup10303(esk3_0),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ k04_buttercup10303(X1)
    | b48_buttercup10305(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_14]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n011.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 11:56:26 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41  Running first-order theorem proving
% 0.13/0.42  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
% 0.13/0.46  % Version: 3.5.1
% 0.13/0.46  % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.13/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.46  % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.13/0.46  % Starting new_bool_3 with 600s (2) cores
% 0.13/0.46  % Starting new_bool_1 with 600s (2) cores
% 0.13/0.46  % Starting sh5l with 300s (1) cores
% 0.13/0.46  % sh5l with pid 1844590 completed with status 0
% 0.13/0.46  % Result found by sh5l
% 0.13/0.46  % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.13/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.46  % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.13/0.46  % Starting new_bool_3 with 600s (2) cores
% 0.13/0.46  % Starting new_bool_1 with 600s (2) cores
% 0.13/0.46  % Starting sh5l with 300s (1) cores
% 0.13/0.46  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.13/0.46  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.46  % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.13/0.46  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.46  % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.46  % SubtermCWHack with pid 1844591 completed with status 0
% 0.13/0.46  % Result found by SubtermCWHack
% 0.13/0.46  % Preprocessing class: FSLMSMSSSSSNFFN.
% 0.13/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.46  % Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 900s (3) cores
% 0.13/0.46  % Starting new_bool_3 with 600s (2) cores
% 0.13/0.46  % Starting new_bool_1 with 600s (2) cores
% 0.13/0.46  % Starting sh5l with 300s (1) cores
% 0.13/0.46  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.13/0.46  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.46  % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.13/0.46  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.46  % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.46  % Preprocessing time       : 0.002 s
% 0.13/0.46  
% 0.13/0.46  % Proof found!
% 0.13/0.46  % SZS status Theorem
% 0.13/0.46  % SZS output start CNFRefutation
% See solution above
% 0.13/0.46  % Parsed axioms                        : 886
% 0.13/0.46  % Removed by relevancy pruning/SinE    : 868
% 0.13/0.46  % Initial clauses                      : 34
% 0.13/0.46  % Removed in clause preprocessing      : 0
% 0.13/0.46  % Initial clauses in saturation        : 34
% 0.13/0.46  % Processed clauses                    : 46
% 0.13/0.46  % ...of these trivial                  : 0
% 0.13/0.46  % ...subsumed                          : 3
% 0.13/0.46  % ...remaining for further processing  : 43
% 0.13/0.46  % Other redundant clauses eliminated   : 0
% 0.13/0.46  % Clauses deleted for lack of memory   : 0
% 0.13/0.46  % Backward-subsumed                    : 0
% 0.13/0.46  % Backward-rewritten                   : 3
% 0.13/0.46  % Generated clauses                    : 28
% 0.13/0.46  % ...of the previous two non-redundant : 19
% 0.13/0.46  % ...aggressively subsumed             : 0
% 0.13/0.46  % Contextual simplify-reflections      : 0
% 0.13/0.46  % Paramodulations                      : 28
% 0.13/0.46  % Factorizations                       : 0
% 0.13/0.46  % NegExts                              : 0
% 0.13/0.46  % Equation resolutions                 : 0
% 0.13/0.46  % Disequality decompositions           : 0
% 0.13/0.46  % Total rewrite steps                  : 10
% 0.13/0.46  % ...of those cached                   : 1
% 0.13/0.46  % Propositional unsat checks           : 0
% 0.13/0.46  %    Propositional check models        : 0
% 0.13/0.46  %    Propositional check unsatisfiable : 0
% 0.13/0.46  %    Propositional clauses             : 0
% 0.13/0.46  %    Propositional clauses after purity: 0
% 0.13/0.46  %    Propositional unsat core size     : 0
% 0.13/0.46  %    Propositional preprocessing time  : 0.000
% 0.13/0.46  %    Propositional encoding time       : 0.000
% 0.13/0.46  %    Propositional solver time         : 0.000
% 0.13/0.46  %    Success case prop preproc time    : 0.000
% 0.13/0.46  %    Success case prop encoding time   : 0.000
% 0.13/0.46  %    Success case prop solver time     : 0.000
% 0.13/0.46  % Current number of processed clauses  : 40
% 0.13/0.46  %    Positive orientable unit clauses  : 22
% 0.13/0.46  %    Positive unorientable unit clauses: 0
% 0.13/0.46  %    Negative unit clauses             : 6
% 0.13/0.46  %    Non-unit-clauses                  : 12
% 0.13/0.46  % Current number of unprocessed clauses: 0
% 0.13/0.46  % ...number of literals in the above   : 0
% 0.13/0.46  % Current number of archived formulas  : 0
% 0.13/0.46  % Current number of archived clauses   : 3
% 0.13/0.46  % Clause-clause subsumption calls (NU) : 7
% 0.13/0.46  % Rec. Clause-clause subsumption calls : 7
% 0.13/0.46  % Non-unit clause-clause subsumptions  : 3
% 0.13/0.46  % Unit Clause-clause subsumption calls : 5
% 0.13/0.46  % Rewrite failures with RHS unbound    : 0
% 0.13/0.46  % BW rewrite match attempts            : 2
% 0.13/0.46  % BW rewrite match successes           : 2
% 0.13/0.46  % Condensation attempts                : 0
% 0.13/0.46  % Condensation successes               : 0
% 0.13/0.46  % Termbank termtop insertions          : 7116
% 0.13/0.46  % Search garbage collected termcells   : 5799
% 0.13/0.46  
% 0.13/0.46  % -------------------------------------------------
% 0.13/0.46  % User time                : 0.006 s
% 0.13/0.46  % System time              : 0.006 s
% 0.13/0.46  % Total time               : 0.012 s
% 0.13/0.46  % Maximum resident set size: 6056 pages
% 0.13/0.46  
% 0.13/0.46  % -------------------------------------------------
% 0.13/0.46  % User time                : 0.024 s
% 0.13/0.46  % System time              : 0.010 s
% 0.13/0.46  % Total time               : 0.034 s
% 0.13/0.46  % Maximum resident set size: 6144 pages
% 0.13/0.46  % E exiting
%------------------------------------------------------------------------------