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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ITP001^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 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 : Wed Sep 30 08:03:56 AM UTC 2026

% Result   : Theorem 0.26s 0.39s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   0   |;   0   &;   0   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1 usr;   3 con; 0-0 aty)
%            Number of variables   :    2 (   0   ^;   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_51,type,
    mono_2Ec_2Ebool_2ET: $o ).

thf(thm_2Ebool_2ETRUTH,conjecture,
    mono_2Ec_2Ebool_2ET,
    file('/export/starexec/sandbox2/tmp/tmp.NL4aNOnBJF/E---3.1_524291.p',thm_2Ebool_2ETRUTH) ).

thf(thm_2Ebool_2ET__DEF,axiom,
    ( mono_2Ec_2Ebool_2ET
  <=> ! [X22: $o] :
        ( X22
      <=> X22 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.NL4aNOnBJF/E---3.1_524291.p',thm_2Ebool_2ET__DEF) ).

thf(c_0_2,negated_conjecture,
    ~ mono_2Ec_2Ebool_2ET,
    inference(assume_negation,[status(cth)],[thm_2Ebool_2ETRUTH]) ).

thf(c_0_3,negated_conjecture,
    ~ mono_2Ec_2Ebool_2ET,
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

thf(c_0_4,plain,
    ( mono_2Ec_2Ebool_2ET
  <=> ! [X22: $o] : $true ),
    inference(fof_simplification,[status(thm)],[thm_2Ebool_2ET__DEF]) ).

thf(c_0_5,negated_conjecture,
    ~ mono_2Ec_2Ebool_2ET,
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

thf(c_0_6,plain,
    mono_2Ec_2Ebool_2ET,
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ~ mono_2Ec_2Ebool_2ET,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,plain,
    mono_2Ec_2Ebool_2ET,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ITP001^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26  % Computer : n011.cluster.edu
% 0.10/0.26  % Model    : x86_64 x86_64
% 0.10/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26  % Memory   : 8046.5625MB
% 0.10/0.26  % OS       : Linux 6.8.0-71-generic
% 0.10/0.26  % CPULimit : 300
% 0.10/0.26  % WCLimit  : 300
% 0.10/0.26  % DateTime : Tue Sep 29 19:17:16 UTC 2026
% 0.10/0.27  % CPUTime  : 
% 0.10/0.27  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.34  Running higher-order theorem proving
% 0.26/0.36  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.NL4aNOnBJF/E---3.1_524291.p
% 0.26/0.39  % Version: 3.5.1-ho
% 0.26/0.39  % partial match(1): HSLSSLSMSSSNSFA
% 0.26/0.39  % Preprocessing class: HSMSSLSMSSSNSFA.
% 0.26/0.39  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.39  % Starting additional_ho_4 with 1500s (5) cores
% 0.26/0.39  % Starting pre_casc_8 with 300s (1) cores
% 0.26/0.39  % Starting pre_casc_5 with 300s (1) cores
% 0.26/0.39  % Starting pre_casc_6 with 300s (1) cores
% 0.26/0.39  % pre_casc_8 with pid 524305 completed with status 0
% 0.26/0.39  % Result found by pre_casc_8
% 0.26/0.39  % partial match(1): HSLSSLSMSSSNSFA
% 0.26/0.39  % Preprocessing class: HSMSSLSMSSSNSFA.
% 0.26/0.39  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.39  % Starting additional_ho_4 with 1500s (5) cores
% 0.26/0.39  % Starting pre_casc_8 with 300s (1) cores
% 0.26/0.39  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,5,,5,20000,3.0,true))
% 0.26/0.39  % SinE strategy is GSinE(CountTerms,hypos,5,,5,20000,3.0,true)
% 0.26/0.39  % Search class: HUUNF-FFSF00-SSFFFFNN
% 0.26/0.39  % partial match(1): HUUNF-FFSF00-SFFFFFNN
% 0.26/0.39  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.39  % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.39  % SubtermCWHack with pid 524309 completed with status 0
% 0.26/0.39  % Result found by SubtermCWHack
% 0.26/0.39  % partial match(1): HSLSSLSMSSSNSFA
% 0.26/0.39  % Preprocessing class: HSMSSLSMSSSNSFA.
% 0.26/0.39  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.39  % Starting additional_ho_4 with 1500s (5) cores
% 0.26/0.39  % Starting pre_casc_8 with 300s (1) cores
% 0.26/0.39  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,5,,5,20000,3.0,true))
% 0.26/0.39  % SinE strategy is GSinE(CountTerms,hypos,5,,5,20000,3.0,true)
% 0.26/0.39  % Search class: HUUNF-FFSF00-SSFFFFNN
% 0.26/0.39  % partial match(1): HUUNF-FFSF00-SFFFFFNN
% 0.26/0.39  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.39  % Starting SubtermCWHack with 28s (1) cores
% 0.26/0.39  % Preprocessing time       : 0.002 s
% 0.26/0.39  
% 0.26/0.39  % Proof found!
% 0.26/0.39  % SZS status Theorem
% 0.26/0.39  % SZS output start CNFRefutation
% See solution above
% 0.26/0.39  % Parsed axioms                        : 66
% 0.26/0.39  % Removed by relevancy pruning/SinE    : 64
% 0.26/0.39  % Initial clauses                      : 2
% 0.26/0.39  % Removed in clause preprocessing      : 0
% 0.26/0.39  % Initial clauses in saturation        : 2
% 0.26/0.39  % Processed clauses                    : 2
% 0.26/0.39  % ...of these trivial                  : 0
% 0.26/0.39  % ...subsumed                          : 0
% 0.26/0.39  % ...remaining for further processing  : 1
% 0.26/0.39  % Other redundant clauses eliminated   : 0
% 0.26/0.39  % Clauses deleted for lack of memory   : 0
% 0.26/0.39  % Backward-subsumed                    : 0
% 0.26/0.39  % Backward-rewritten                   : 0
% 0.26/0.39  % Generated clauses                    : 0
% 0.26/0.39  % ...of the previous two non-redundant : 0
% 0.26/0.39  % ...aggressively subsumed             : 0
% 0.26/0.39  % Contextual simplify-reflections      : 0
% 0.26/0.39  % Paramodulations                      : 0
% 0.26/0.39  % Factorizations                       : 0
% 0.26/0.39  % NegExts                              : 0
% 0.26/0.39  % Equation resolutions                 : 0
% 0.26/0.39  % Disequality decompositions           : 0
% 0.26/0.39  % Total rewrite steps                  : 1
% 0.26/0.39  % ...of those cached                   : 0
% 0.26/0.39  % Propositional unsat checks           : 0
% 0.26/0.39  %    Propositional check models        : 0
% 0.26/0.39  %    Propositional check unsatisfiable : 0
% 0.26/0.39  %    Propositional clauses             : 0
% 0.26/0.39  %    Propositional clauses after purity: 0
% 0.26/0.39  %    Propositional unsat core size     : 0
% 0.26/0.39  %    Propositional preprocessing time  : 0.000
% 0.26/0.39  %    Propositional encoding time       : 0.000
% 0.26/0.39  %    Propositional solver time         : 0.000
% 0.26/0.39  %    Success case prop preproc time    : 0.000
% 0.26/0.39  %    Success case prop encoding time   : 0.000
% 0.26/0.39  %    Success case prop solver time     : 0.000
% 0.26/0.39  % Current number of processed clauses  : 1
% 0.26/0.39  %    Positive orientable unit clauses  : 1
% 0.26/0.39  %    Positive unorientable unit clauses: 0
% 0.26/0.39  %    Negative unit clauses             : 0
% 0.26/0.39  %    Non-unit-clauses                  : 0
% 0.26/0.39  % Current number of unprocessed clauses: 0
% 0.26/0.39  % ...number of literals in the above   : 0
% 0.26/0.39  % Current number of archived formulas  : 0
% 0.26/0.39  % Current number of archived clauses   : 0
% 0.26/0.39  % Clause-clause subsumption calls (NU) : 0
% 0.26/0.39  % Rec. Clause-clause subsumption calls : 0
% 0.26/0.39  % Non-unit clause-clause subsumptions  : 0
% 0.26/0.39  % Unit Clause-clause subsumption calls : 0
% 0.26/0.39  % Rewrite failures with RHS unbound    : 0
% 0.26/0.39  % BW rewrite match attempts            : 0
% 0.26/0.39  % BW rewrite match successes           : 0
% 0.26/0.39  % Condensation attempts                : 0
% 0.26/0.39  % Condensation successes               : 0
% 0.26/0.39  % Termbank termtop insertions          : 698
% 0.26/0.39  % Search garbage collected termcells   : 259
% 0.26/0.39  
% 0.26/0.39  % -------------------------------------------------
% 0.26/0.39  % User time                : 0.005 s
% 0.26/0.39  % System time              : 0.002 s
% 0.26/0.39  % Total time               : 0.007 s
% 0.26/0.39  % Maximum resident set size: 3700 pages
% 0.26/0.39  
% 0.26/0.39  % -------------------------------------------------
% 0.26/0.39  % User time                : 0.008 s
% 0.26/0.39  % System time              : 0.009 s
% 0.26/0.39  % Total time               : 0.017 s
% 0.26/0.39  % Maximum resident set size: 4864 pages
% 0.26/0.39  % E exiting
%------------------------------------------------------------------------------