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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR125^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 07:46:35 AM UTC 2026

% Result   : Theorem 0.23s 0.26s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   48 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  108 (  24   ~;  12   |;   6   &;  66   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^;   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_48,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(decl_66,type,
    lBill_THFTYPE_i: $i ).

thf(decl_109,type,
    lSue_THFTYPE_i: $i ).

thf(decl_122,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(decl_126,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_134,type,
    n2009_THFTYPE_i: $i ).

thf(con,conjecture,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true,
    file('/export/starexec/sandbox2/tmp/tmp.A7YV3ubMfm/E---3.1_2441106.p',con) ).

thf(ax_068,axiom,
    ! [X5: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.A7YV3ubMfm/E---3.1_2441106.p',ax_068) ).

thf(ax_082,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/tmp/tmp.A7YV3ubMfm/E---3.1_2441106.p',ax_082) ).

thf(c_0_3,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_4,negated_conjecture,
    ~ ( ( ~ ~ $true
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ $true
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[c_0_3]) ).

thf(c_0_5,plain,
    ! [X5: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_068])]) ).

thf(c_0_6,negated_conjecture,
    ( ( $true
      | ~ $true )
    & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
      | ~ $true )
    & ( $true
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

thf(c_0_7,plain,
    ! [X226: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X226 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X226 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_5])]) ).

thf(c_0_8,negated_conjecture,
    ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
    | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_9,plain,
    ! [X1: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
      | ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_10,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
    inference(cn,[status(thm)],[c_0_8]) ).

thf(c_0_11,plain,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_082]) ).

thf(c_0_12,plain,
    ! [X1: $i] :
      ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ),
    inference(sr,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_13,plain,
    $false,
    inference(sr,[status(thm)],[c_0_11,c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR125^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16  % Computer : n013.cluster.edu
% 0.10/0.16  % Model    : x86_64 x86_64
% 0.10/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16  % Memory   : 8046.5625MB
% 0.10/0.16  % OS       : Linux 6.8.0-71-generic
% 0.10/0.16  % CPULimit : 300
% 0.10/0.16  % WCLimit  : 300
% 0.10/0.16  % DateTime : Tue Sep 29 17:54:36 UTC 2026
% 0.10/0.17  % CPUTime  : 
% 0.10/0.17  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21  Running higher-order theorem proving
% 0.10/0.23  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.A7YV3ubMfm/E---3.1_2441106.p
% 0.23/0.26  % Version: 3.5.1-ho
% 0.23/0.26  % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.23/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.26  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.26  % Starting new_ho_10 with 300s (1) cores
% 0.23/0.26  % Starting new_bool_6 with 300s (1) cores
% 0.23/0.26  % Starting lpo8_s with 300s (1) cores
% 0.23/0.26  % lpo8_s with pid 2441122 completed with status 0
% 0.23/0.26  % Result found by lpo8_s
% 0.23/0.26  % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.23/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.26  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.26  % Starting new_ho_10 with 300s (1) cores
% 0.23/0.26  % Starting new_bool_6 with 300s (1) cores
% 0.23/0.26  % Starting lpo8_s with 300s (1) cores
% 0.23/0.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
% 0.23/0.26  % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.23/0.26  % Search class: HGHSF-FFMM21-SHFFFFBN
% 0.23/0.26  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.26  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.26  % SubtermCWHack with pid 2441127 completed with status 0
% 0.23/0.26  % Result found by SubtermCWHack
% 0.23/0.26  % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.23/0.26  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.26  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.26  % Starting new_ho_10 with 300s (1) cores
% 0.23/0.26  % Starting new_bool_6 with 300s (1) cores
% 0.23/0.26  % Starting lpo8_s with 300s (1) cores
% 0.23/0.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
% 0.23/0.26  % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.23/0.26  % Search class: HGHSF-FFMM21-SHFFFFBN
% 0.23/0.26  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.26  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.26  % Preprocessing time       : 0.002 s
% 0.23/0.26  
% 0.23/0.26  % Proof found!
% 0.23/0.26  % SZS status Theorem
% 0.23/0.26  % SZS output start CNFRefutation
% See solution above
% 0.23/0.27  % Parsed axioms                        : 410
% 0.23/0.27  % Removed by relevancy pruning/SinE    : 155
% 0.23/0.27  % Initial clauses                      : 281
% 0.23/0.27  % Removed in clause preprocessing      : 13
% 0.23/0.27  % Initial clauses in saturation        : 268
% 0.23/0.27  % Processed clauses                    : 220
% 0.23/0.27  % ...of these trivial                  : 11
% 0.23/0.27  % ...subsumed                          : 0
% 0.23/0.27  % ...remaining for further processing  : 209
% 0.23/0.27  % Other redundant clauses eliminated   : 0
% 0.23/0.27  % Clauses deleted for lack of memory   : 0
% 0.23/0.27  % Backward-subsumed                    : 0
% 0.23/0.27  % Backward-rewritten                   : 1
% 0.23/0.27  % Generated clauses                    : 62
% 0.23/0.27  % ...of the previous two non-redundant : 57
% 0.23/0.27  % ...aggressively subsumed             : 0
% 0.23/0.27  % Contextual simplify-reflections      : 0
% 0.23/0.27  % Paramodulations                      : 59
% 0.23/0.27  % Factorizations                       : 0
% 0.23/0.27  % NegExts                              : 0
% 0.23/0.27  % Equation resolutions                 : 1
% 0.23/0.27  % Disequality decompositions           : 0
% 0.23/0.27  % Total rewrite steps                  : 14
% 0.23/0.27  % ...of those cached                   : 7
% 0.23/0.27  % Propositional unsat checks           : 0
% 0.23/0.27  %    Propositional check models        : 0
% 0.23/0.27  %    Propositional check unsatisfiable : 0
% 0.23/0.27  %    Propositional clauses             : 0
% 0.23/0.27  %    Propositional clauses after purity: 0
% 0.23/0.27  %    Propositional unsat core size     : 0
% 0.23/0.27  %    Propositional preprocessing time  : 0.000
% 0.23/0.27  %    Propositional encoding time       : 0.000
% 0.23/0.27  %    Propositional solver time         : 0.000
% 0.23/0.27  %    Success case prop preproc time    : 0.000
% 0.23/0.27  %    Success case prop encoding time   : 0.000
% 0.23/0.27  %    Success case prop solver time     : 0.000
% 0.23/0.27  % Current number of processed clauses  : 206
% 0.23/0.27  %    Positive orientable unit clauses  : 197
% 0.23/0.27  %    Positive unorientable unit clauses: 0
% 0.23/0.27  %    Negative unit clauses             : 2
% 0.23/0.27  %    Non-unit-clauses                  : 7
% 0.23/0.27  % Current number of unprocessed clauses: 104
% 0.23/0.27  % ...number of literals in the above   : 215
% 0.23/0.27  % Current number of archived formulas  : 0
% 0.23/0.27  % Current number of archived clauses   : 3
% 0.23/0.27  % Clause-clause subsumption calls (NU) : 3
% 0.23/0.27  % Rec. Clause-clause subsumption calls : 3
% 0.23/0.27  % Non-unit clause-clause subsumptions  : 0
% 0.23/0.27  % Unit Clause-clause subsumption calls : 11
% 0.23/0.27  % Rewrite failures with RHS unbound    : 0
% 0.23/0.27  % BW rewrite match attempts            : 1
% 0.23/0.27  % BW rewrite match successes           : 1
% 0.23/0.27  % Condensation attempts                : 0
% 0.23/0.27  % Condensation successes               : 0
% 0.23/0.27  % Termbank termtop insertions          : 13373
% 0.23/0.27  % Search garbage collected termcells   : 2228
% 0.23/0.27  
% 0.23/0.27  % -------------------------------------------------
% 0.23/0.27  % User time                : 0.014 s
% 0.23/0.27  % System time              : 0.005 s
% 0.23/0.27  % Total time               : 0.019 s
% 0.23/0.27  % Maximum resident set size: 4716 pages
% 0.23/0.27  
% 0.23/0.27  % -------------------------------------------------
% 0.23/0.27  % User time                : 0.020 s
% 0.23/0.27  % System time              : 0.011 s
% 0.23/0.27  % Total time               : 0.030 s
% 0.23/0.27  % Maximum resident set size: 5120 pages
% 0.23/0.27  % E exiting
%------------------------------------------------------------------------------