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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR140^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 07:46:38 AM UTC 2026

% Result   : Theorem 0.23s 0.28s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :    8 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :   43 (   9   ~;   2   |;   2   &;  30   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;   7   !;   6   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_31,type,
    lAnna_THFTYPE_i: $i ).

thf(decl_36,type,
    lBob_THFTYPE_i: $i ).

thf(decl_39,type,
    lSue_THFTYPE_i: $i ).

thf(decl_43,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

thf(con,conjecture,
    ? [X24: $i > $i > $o,X1: $i,X2: $i] :
      ( ( X24 @ X1 @ lAnna_THFTYPE_i )
      & ~ ( X24 @ X2 @ lAnna_THFTYPE_i ) ),
    file('/export/starexec/sandbox/tmp/tmp.i2uY0MNJdn/E---3.1_1634611.p',con) ).

thf(ax_025,axiom,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox/tmp/tmp.i2uY0MNJdn/E---3.1_1634611.p',ax_025) ).

thf(ax_012,axiom,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.i2uY0MNJdn/E---3.1_1634611.p',ax_012) ).

thf(c_0_3,negated_conjecture,
    ~ ? [X24: $i > $i > $o,X1: $i,X2: $i] :
        ( ( X24 @ X1 @ lAnna_THFTYPE_i )
        & ~ ( X24 @ X2 @ lAnna_THFTYPE_i ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_4,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(fof_simplification,[status(thm)],[ax_025]) ).

thf(c_0_5,negated_conjecture,
    ! [X28: $i > $i > $o,X29: $i,X30: $i] :
      ( ~ ( X28 @ X29 @ lAnna_THFTYPE_i )
      | ( X28 @ X30 @ lAnna_THFTYPE_i ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

thf(c_0_6,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ! [X24: $i > $i > $o,X2: $i,X1: $i] :
      ( ( X24 @ X2 @ lAnna_THFTYPE_i )
      | ~ ( X24 @ X1 @ lAnna_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_012]) ).

thf(c_0_9,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_10,negated_conjecture,
    ! [X1: $i] : ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_11,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR140^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n004.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 17:56:22 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running higher-order theorem proving
% 0.08/0.26  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.i2uY0MNJdn/E---3.1_1634611.p
% 0.23/0.28  % Version: 3.5.1-ho
% 0.23/0.28  % Preprocessing class: HSMSSMSMSSSNSSA.
% 0.23/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.28  % Starting ho_unfolding_3 with 1500s (5) cores
% 0.23/0.28  % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.23/0.28  % Starting sh5l with 300s (1) cores
% 0.23/0.28  % Starting new_bool_3 with 300s (1) cores
% 0.23/0.28  % new_bool_3 with pid 1634627 completed with status 0
% 0.23/0.28  % Result found by new_bool_3
% 0.23/0.28  % Preprocessing class: HSMSSMSMSSSNSSA.
% 0.23/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.28  % Starting ho_unfolding_3 with 1500s (5) cores
% 0.23/0.28  % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.23/0.28  % Starting sh5l with 300s (1) cores
% 0.23/0.28  % Starting new_bool_3 with 300s (1) cores
% 0.23/0.28  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.28  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.28  % Search class: HHUNF-FFSM00-SSSFFFBN
% 0.23/0.28  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.28  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.28  % SubtermCWHack with pid 1634628 completed with status 0
% 0.23/0.28  % Result found by SubtermCWHack
% 0.23/0.28  % Preprocessing class: HSMSSMSMSSSNSSA.
% 0.23/0.28  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.28  % Starting ho_unfolding_3 with 1500s (5) cores
% 0.23/0.28  % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.23/0.28  % Starting sh5l with 300s (1) cores
% 0.23/0.28  % Starting new_bool_3 with 300s (1) cores
% 0.23/0.28  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.28  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.28  % Search class: HHUNF-FFSM00-SSSFFFBN
% 0.23/0.28  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.28  % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.28  % Preprocessing time       : 0.001 s
% 0.23/0.28  
% 0.23/0.28  % Proof found!
% 0.23/0.28  % SZS status Theorem
% 0.23/0.28  % SZS output start CNFRefutation
% See solution above
% 0.23/0.28  % Parsed axioms                        : 71
% 0.23/0.28  % Removed by relevancy pruning/SinE    : 50
% 0.23/0.28  % Initial clauses                      : 21
% 0.23/0.28  % Removed in clause preprocessing      : 0
% 0.23/0.28  % Initial clauses in saturation        : 21
% 0.23/0.28  % Processed clauses                    : 22
% 0.23/0.28  % ...of these trivial                  : 7
% 0.23/0.28  % ...subsumed                          : 3
% 0.23/0.28  % ...remaining for further processing  : 12
% 0.23/0.28  % Other redundant clauses eliminated   : 0
% 0.23/0.28  % Clauses deleted for lack of memory   : 0
% 0.23/0.28  % Backward-subsumed                    : 0
% 0.23/0.28  % Backward-rewritten                   : 3
% 0.23/0.28  % Generated clauses                    : 3
% 0.23/0.28  % ...of the previous two non-redundant : 2
% 0.23/0.28  % ...aggressively subsumed             : 0
% 0.23/0.28  % Contextual simplify-reflections      : 0
% 0.23/0.28  % Paramodulations                      : 3
% 0.23/0.28  % Factorizations                       : 0
% 0.23/0.28  % NegExts                              : 0
% 0.23/0.28  % Equation resolutions                 : 0
% 0.23/0.28  % Disequality decompositions           : 0
% 0.23/0.28  % Total rewrite steps                  : 8
% 0.23/0.28  % ...of those cached                   : 0
% 0.23/0.28  % Propositional unsat checks           : 0
% 0.23/0.28  %    Propositional check models        : 0
% 0.23/0.28  %    Propositional check unsatisfiable : 0
% 0.23/0.28  %    Propositional clauses             : 0
% 0.23/0.28  %    Propositional clauses after purity: 0
% 0.23/0.28  %    Propositional unsat core size     : 0
% 0.23/0.28  %    Propositional preprocessing time  : 0.000
% 0.23/0.28  %    Propositional encoding time       : 0.000
% 0.23/0.28  %    Propositional solver time         : 0.000
% 0.23/0.28  %    Success case prop preproc time    : 0.000
% 0.23/0.28  %    Success case prop encoding time   : 0.000
% 0.23/0.28  %    Success case prop solver time     : 0.000
% 0.23/0.28  % Current number of processed clauses  : 9
% 0.23/0.28  %    Positive orientable unit clauses  : 6
% 0.23/0.28  %    Positive unorientable unit clauses: 0
% 0.23/0.28  %    Negative unit clauses             : 2
% 0.23/0.28  %    Non-unit-clauses                  : 1
% 0.23/0.28  % Current number of unprocessed clauses: 1
% 0.23/0.28  % ...number of literals in the above   : 1
% 0.23/0.28  % Current number of archived formulas  : 0
% 0.23/0.28  % Current number of archived clauses   : 3
% 0.23/0.28  % Clause-clause subsumption calls (NU) : 0
% 0.23/0.28  % Rec. Clause-clause subsumption calls : 0
% 0.23/0.28  % Non-unit clause-clause subsumptions  : 0
% 0.23/0.28  % Unit Clause-clause subsumption calls : 1
% 0.23/0.28  % Rewrite failures with RHS unbound    : 0
% 0.23/0.28  % BW rewrite match attempts            : 3
% 0.23/0.28  % BW rewrite match successes           : 3
% 0.23/0.28  % Condensation attempts                : 0
% 0.23/0.28  % Condensation successes               : 0
% 0.23/0.28  % Termbank termtop insertions          : 959
% 0.23/0.28  % Search garbage collected termcells   : 201
% 0.23/0.28  
% 0.23/0.28  % -------------------------------------------------
% 0.23/0.28  % User time                : 0.003 s
% 0.23/0.28  % System time              : 0.003 s
% 0.23/0.28  % Total time               : 0.006 s
% 0.23/0.28  % Maximum resident set size: 3692 pages
% 0.23/0.28  
% 0.23/0.28  % -------------------------------------------------
% 0.23/0.28  % User time                : 0.005 s
% 0.23/0.28  % System time              : 0.008 s
% 0.23/0.28  % Total time               : 0.013 s
% 0.23/0.28  % Maximum resident set size: 4864 pages
% 0.23/0.28  % E exiting
%------------------------------------------------------------------------------