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E---3.5.1.CAX-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR149^3 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 07:46:41 AM UTC 2026

% Result   : ContradictoryAxioms 1.53s 1.92s
% Output   : CNFRefutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   67 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  222 (  29   ~;  25   |;  11   &; 152   @)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   6 con; 0-2 aty)
%            Number of variables   :   45 (   0   ^;  43   !;   2   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_212,type,
    instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).

thf(decl_223,type,
    instance_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_235,type,
    lAbstract_THFTYPE_i: $i ).

thf(decl_364,type,
    lClass_THFTYPE_i: $i ).

thf(decl_976,type,
    lReflexiveRelation_THFTYPE_i: $i ).

thf(decl_1031,type,
    lSetOrClass_THFTYPE_i: $i ).

thf(decl_1128,type,
    lTimeInterval_THFTYPE_i: $i ).

thf(decl_1224,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

thf(decl_1248,type,
    located_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_1322,type,
    overlapsTemporally_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_1402,type,
    subclass_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_1428,type,
    temporalPart_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_1431,type,
    time_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_1463,type,
    esk2_2: $i > $i > $i ).

thf(decl_1482,type,
    esk21_1: $i > $i ).

thf(decl_1483,type,
    esk22_1: $i > $i ).

thf(ax1542,axiom,
    ! [X586: $i] :
      ( ( instance_THFTYPE_IiioI @ X586 @ lAbstract_THFTYPE_i )
    <=> ~ ? [X124: $i] :
            ( ( located_THFTYPE_IiioI @ X586 @ X124 )
            | ( time_THFTYPE_IiioI @ X586 @ X124 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0BuRAaZkFv/E---3.1_429562.p',ax1542) ).

thf(ax540,axiom,
    ! [X2: $i,X293: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ X293 @ ( lWhenFn_THFTYPE_IiiI @ X2 ) )
    <=> ( time_THFTYPE_IiioI @ X2 @ X293 ) ),
    file('/export/starexec/sandbox/tmp/tmp.0BuRAaZkFv/E---3.1_429562.p',ax540) ).

thf(ax738,axiom,
    ! [X339: $i,X340: $i] :
      ( ( subclass_THFTYPE_IiioI @ X339 @ X340 )
     => ( ( instance_THFTYPE_IiioI @ X339 @ lSetOrClass_THFTYPE_i )
        & ( instance_THFTYPE_IiioI @ X340 @ lSetOrClass_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0BuRAaZkFv/E---3.1_429562.p',ax738) ).

thf(ax183,axiom,
    ! [X118: $i,X119: $i] :
      ( ( overlapsTemporally_THFTYPE_IiioI @ X118 @ X119 )
    <=> ? [X120: $i] :
          ( ( instance_THFTYPE_IiioI @ X120 @ lTimeInterval_THFTYPE_i )
          & ( temporalPart_THFTYPE_IiioI @ X120 @ X118 )
          & ( temporalPart_THFTYPE_IiioI @ X120 @ X119 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.0BuRAaZkFv/E---3.1_429562.p',ax183) ).

thf(ax875,axiom,
    ! [X186: $i,X78: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ X78 @ lReflexiveRelation_THFTYPE_i )
    <=> ( X78 @ X186 @ X186 ) ),
    file('/export/starexec/sandbox/tmp/tmp.0BuRAaZkFv/E---3.1_429562.p',ax875) ).

thf(ax168,axiom,
    subclass_THFTYPE_IiioI @ lClass_THFTYPE_i @ lSetOrClass_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.0BuRAaZkFv/E---3.1_429562.p',ax168) ).

thf(ax3486,axiom,
    instance_THFTYPE_IIiioIioI @ overlapsTemporally_THFTYPE_IiioI @ lReflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.0BuRAaZkFv/E---3.1_429562.p',ax3486) ).

thf(c_0_7,plain,
    ! [X2412: $i,X2413: $i,X2414: $i,X2415: $i] :
      ( ( ~ ( located_THFTYPE_IiioI @ X2412 @ X2413 )
        | ~ ( instance_THFTYPE_IiioI @ X2412 @ lAbstract_THFTYPE_i ) )
      & ( ~ ( time_THFTYPE_IiioI @ X2412 @ X2414 )
        | ~ ( instance_THFTYPE_IiioI @ X2412 @ lAbstract_THFTYPE_i ) )
      & ( ( located_THFTYPE_IiioI @ X2415 @ ( esk21_1 @ X2415 ) )
        | ( time_THFTYPE_IiioI @ X2415 @ ( esk22_1 @ X2415 ) )
        | ( instance_THFTYPE_IiioI @ X2415 @ lAbstract_THFTYPE_i ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1542])])])])])])]) ).

thf(c_0_8,plain,
    ! [X2308: $i,X2309: $i] :
      ( ( ~ ( temporalPart_THFTYPE_IiioI @ X2309 @ ( lWhenFn_THFTYPE_IiiI @ X2308 ) )
        | ( time_THFTYPE_IiioI @ X2308 @ X2309 ) )
      & ( ~ ( time_THFTYPE_IiioI @ X2308 @ X2309 )
        | ( temporalPart_THFTYPE_IiioI @ X2309 @ ( lWhenFn_THFTYPE_IiiI @ X2308 ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax540])])]) ).

thf(c_0_9,plain,
    ! [X3540: $i,X3541: $i] :
      ( ( ( instance_THFTYPE_IiioI @ X3540 @ lSetOrClass_THFTYPE_i )
        | ~ ( subclass_THFTYPE_IiioI @ X3540 @ X3541 ) )
      & ( ( instance_THFTYPE_IiioI @ X3541 @ lSetOrClass_THFTYPE_i )
        | ~ ( subclass_THFTYPE_IiioI @ X3540 @ X3541 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax738])])])]) ).

thf(c_0_10,plain,
    ! [X2: $i,X1: $i] :
      ( ~ ( time_THFTYPE_IiioI @ X1 @ X2 )
      | ~ ( instance_THFTYPE_IiioI @ X1 @ lAbstract_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_11,plain,
    ! [X1: $i,X2: $i] :
      ( ( time_THFTYPE_IiioI @ X2 @ X1 )
      | ~ ( temporalPart_THFTYPE_IiioI @ X1 @ ( lWhenFn_THFTYPE_IiiI @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_12,plain,
    ! [X2295: $i,X2296: $i,X2298: $i,X2299: $i,X2300: $i] :
      ( ( ( instance_THFTYPE_IiioI @ ( esk2_2 @ X2295 @ X2296 ) @ lTimeInterval_THFTYPE_i )
        | ~ ( overlapsTemporally_THFTYPE_IiioI @ X2295 @ X2296 ) )
      & ( ( temporalPart_THFTYPE_IiioI @ ( esk2_2 @ X2295 @ X2296 ) @ X2295 )
        | ~ ( overlapsTemporally_THFTYPE_IiioI @ X2295 @ X2296 ) )
      & ( ( temporalPart_THFTYPE_IiioI @ ( esk2_2 @ X2295 @ X2296 ) @ X2296 )
        | ~ ( overlapsTemporally_THFTYPE_IiioI @ X2295 @ X2296 ) )
      & ( ~ ( instance_THFTYPE_IiioI @ X2300 @ lTimeInterval_THFTYPE_i )
        | ~ ( temporalPart_THFTYPE_IiioI @ X2300 @ X2298 )
        | ~ ( temporalPart_THFTYPE_IiioI @ X2300 @ X2299 )
        | ( overlapsTemporally_THFTYPE_IiioI @ X2298 @ X2299 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax183])])])])])])]) ).

thf(c_0_13,plain,
    ! [X2969: $i,X2970: $i > $i > $o] :
      ( ( ~ ( instance_THFTYPE_IIiioIioI @ X2970 @ lReflexiveRelation_THFTYPE_i )
        | ( X2970 @ X2969 @ X2969 ) )
      & ( ~ ( X2970 @ X2969 @ X2969 )
        | ( instance_THFTYPE_IIiioIioI @ X2970 @ lReflexiveRelation_THFTYPE_i ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax875])])]) ).

thf(c_0_14,plain,
    ! [X2: $i,X1: $i] :
      ( ( instance_THFTYPE_IiioI @ X1 @ lSetOrClass_THFTYPE_i )
      | ~ ( subclass_THFTYPE_IiioI @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_15,plain,
    subclass_THFTYPE_IiioI @ lClass_THFTYPE_i @ lSetOrClass_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax168]) ).

thf(c_0_16,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( temporalPart_THFTYPE_IiioI @ X1 @ ( lWhenFn_THFTYPE_IiiI @ X2 ) )
      | ~ ( instance_THFTYPE_IiioI @ X2 @ lAbstract_THFTYPE_i ) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

thf(c_0_17,plain,
    ! [X1: $i,X2: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ ( esk2_2 @ X1 @ X2 ) @ X2 )
      | ~ ( overlapsTemporally_THFTYPE_IiioI @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_18,plain,
    ! [X1: $i,X7: $i > $i > $o] :
      ( ( X7 @ X1 @ X1 )
      | ~ ( instance_THFTYPE_IIiioIioI @ X7 @ lReflexiveRelation_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_19,plain,
    instance_THFTYPE_IIiioIioI @ overlapsTemporally_THFTYPE_IiioI @ lReflexiveRelation_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax3486]) ).

thf(c_0_20,plain,
    ! [X7: $i > $i > $o,X1: $i] :
      ( ( instance_THFTYPE_IIiioIioI @ X7 @ lReflexiveRelation_THFTYPE_i )
      | ~ ( X7 @ X1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_21,plain,
    instance_THFTYPE_IiioI @ lSetOrClass_THFTYPE_i @ lSetOrClass_THFTYPE_i,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

thf(c_0_22,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( overlapsTemporally_THFTYPE_IiioI @ X1 @ ( lWhenFn_THFTYPE_IiiI @ X2 ) )
      | ~ ( instance_THFTYPE_IiioI @ X2 @ lAbstract_THFTYPE_i ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_23,plain,
    ! [X1: $i] : ( overlapsTemporally_THFTYPE_IiioI @ X1 @ X1 ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

thf(c_0_24,plain,
    instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lReflexiveRelation_THFTYPE_i,
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

thf(c_0_25,plain,
    ! [X1: $i] :
      ~ ( instance_THFTYPE_IiioI @ X1 @ lAbstract_THFTYPE_i ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

thf(c_0_26,plain,
    ! [X1: $i] : ( instance_THFTYPE_IiioI @ X1 @ X1 ),
    inference(spm,[status(thm)],[c_0_18,c_0_24]) ).

thf(c_0_27,plain,
    $false,
    inference(spm,[status(thm)],[c_0_25,c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR149^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n018.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 17:59:41 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running higher-order theorem proving
% 1.46/1.53  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.0BuRAaZkFv/E---3.1_429562.p
% 1.53/1.92  % Version: 3.5.1-ho
% 1.53/1.92  % Preprocessing class: HMLLSMSLSSMCHFA.
% 1.53/1.92  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.53/1.92  % Starting new_ho_10 with 1500s (5) cores
% 1.53/1.92  % Starting sh5l with 300s (1) cores
% 1.53/1.92  % Starting ehoh_best_sine_rwall with 300s (1) cores
% 1.53/1.92  % Starting lpo1_def_fix with 300s (1) cores
% 1.53/1.92  % ehoh_best_sine_rwall with pid 429745 completed with status 0
% 1.53/1.92  % Result found by ehoh_best_sine_rwall
% 1.53/1.92  % Preprocessing class: HMLLSMSLSSMCHFA.
% 1.53/1.92  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.53/1.92  % Starting new_ho_10 with 1500s (5) cores
% 1.53/1.92  % Starting sh5l with 300s (1) cores
% 1.53/1.92  % Starting ehoh_best_sine_rwall with 300s (1) cores
% 1.53/1.92  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.53/1.92  % SinE strategy is gf500_gu_R04_F100_L20000
% 1.53/1.92  % Search class: HGHSM-SMLM31-MHFFFFBN
% 1.53/1.92  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.53/1.92  % Starting SubtermCWHack with 28s (1) cores
% 1.53/1.92  % SubtermCWHack with pid 429747 completed with status 0
% 1.53/1.92  % Result found by SubtermCWHack
% 1.53/1.92  % Preprocessing class: HMLLSMSLSSMCHFA.
% 1.53/1.92  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.53/1.92  % Starting new_ho_10 with 1500s (5) cores
% 1.53/1.92  % Starting sh5l with 300s (1) cores
% 1.53/1.92  % Starting ehoh_best_sine_rwall with 300s (1) cores
% 1.53/1.92  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 1.53/1.92  % SinE strategy is gf500_gu_R04_F100_L20000
% 1.53/1.92  % Search class: HGHSM-SMLM31-MHFFFFBN
% 1.53/1.92  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 1.53/1.92  % Starting SubtermCWHack with 28s (1) cores
% 1.53/1.92  % Preprocessing time       : 0.031 s
% 1.53/1.92  
% 1.53/1.92  % Proof found!
% 1.53/1.92  % SZS status ContradictoryAxioms
% 1.53/1.92  % SZS output start CNFRefutation
% See solution above
% 1.53/1.92  % Parsed axioms                        : 5016
% 1.53/1.92  % Removed by relevancy pruning/SinE    : 3073
% 1.53/1.92  % Initial clauses                      : 2829
% 1.53/1.92  % Removed in clause preprocessing      : 180
% 1.53/1.92  % Initial clauses in saturation        : 2649
% 1.53/1.92  % Processed clauses                    : 2520
% 1.53/1.92  % ...of these trivial                  : 278
% 1.53/1.92  % ...subsumed                          : 26
% 1.53/1.92  % ...remaining for further processing  : 2216
% 1.53/1.92  % Other redundant clauses eliminated   : 13
% 1.53/1.92  % Clauses deleted for lack of memory   : 0
% 1.53/1.92  % Backward-subsumed                    : 10
% 1.53/1.92  % Backward-rewritten                   : 3
% 1.53/1.92  % Generated clauses                    : 921
% 1.53/1.92  % ...of the previous two non-redundant : 802
% 1.53/1.92  % ...aggressively subsumed             : 0
% 1.53/1.92  % Contextual simplify-reflections      : 0
% 1.53/1.92  % Paramodulations                      : 904
% 1.53/1.92  % Factorizations                       : 1
% 1.53/1.92  % NegExts                              : 0
% 1.53/1.92  % Equation resolutions                 : 16
% 1.53/1.92  % Disequality decompositions           : 0
% 1.53/1.92  % Total rewrite steps                  : 401
% 1.53/1.92  % ...of those cached                   : 240
% 1.53/1.92  % Propositional unsat checks           : 0
% 1.53/1.92  %    Propositional check models        : 0
% 1.53/1.92  %    Propositional check unsatisfiable : 0
% 1.53/1.92  %    Propositional clauses             : 0
% 1.53/1.92  %    Propositional clauses after purity: 0
% 1.53/1.92  %    Propositional unsat core size     : 0
% 1.53/1.92  %    Propositional preprocessing time  : 0.000
% 1.53/1.92  %    Propositional encoding time       : 0.000
% 1.53/1.92  %    Propositional solver time         : 0.000
% 1.53/1.92  %    Success case prop preproc time    : 0.000
% 1.53/1.92  %    Success case prop encoding time   : 0.000
% 1.53/1.92  %    Success case prop solver time     : 0.000
% 1.53/1.92  % Current number of processed clauses  : 2190
% 1.53/1.92  %    Positive orientable unit clauses  : 1681
% 1.53/1.92  %    Positive unorientable unit clauses: 0
% 1.53/1.92  %    Negative unit clauses             : 37
% 1.53/1.92  %    Non-unit-clauses                  : 472
% 1.53/1.92  % Current number of unprocessed clauses: 928
% 1.53/1.92  % ...number of literals in the above   : 3767
% 1.53/1.92  % Current number of archived formulas  : 0
% 1.53/1.92  % Current number of archived clauses   : 13
% 1.53/1.92  % Clause-clause subsumption calls (NU) : 31867
% 1.53/1.92  % Rec. Clause-clause subsumption calls : 26975
% 1.53/1.92  % Non-unit clause-clause subsumptions  : 14
% 1.53/1.92  % Unit Clause-clause subsumption calls : 6283
% 1.53/1.92  % Rewrite failures with RHS unbound    : 0
% 1.53/1.92  % BW rewrite match attempts            : 493
% 1.53/1.92  % BW rewrite match successes           : 5
% 1.53/1.92  % Condensation attempts                : 0
% 1.53/1.92  % Condensation successes               : 0
% 1.53/1.92  % Termbank termtop insertions          : 179917
% 1.53/1.92  % Search garbage collected termcells   : 36322
% 1.53/1.92  
% 1.53/1.92  % -------------------------------------------------
% 1.53/1.92  % User time                : 0.219 s
% 1.53/1.92  % System time              : 0.052 s
% 1.53/1.92  % Total time               : 0.271 s
% 1.53/1.92  % Maximum resident set size: 15796 pages
% 1.53/1.92  
% 1.53/1.92  % -------------------------------------------------
% 1.53/1.92  % User time                : 0.315 s
% 1.53/1.92  % System time              : 0.062 s
% 1.53/1.92  % Total time               : 0.377 s
% 1.53/1.92  % Maximum resident set size: 8960 pages
% 1.53/1.92  % E exiting
%------------------------------------------------------------------------------