TSTP Solution File: CSR141^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR141^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:34:38 EDT 2024

% Result   : Theorem 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   37 (   8 unt;  11 typ;   0 def)
%            Number of atoms       :   87 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  248 (  38   ~;  28   |;  10   &; 168   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :   24 (   0   ^  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    agent_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_23,type,
    connected_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_24,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(decl_25,type,
    instance_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_26,type,
    lCADE_BM_THFTYPE_i: $i ).

thf(decl_27,type,
    lMariaPaola_THFTYPE_i: $i ).

thf(decl_28,type,
    lMeeting_THFTYPE_i: $i ).

thf(decl_29,type,
    lReiner_THFTYPE_i: $i ).

thf(decl_30,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

thf(decl_31,type,
    lNear_THFTYPE_i: $i ).

thf(decl_32,type,
    orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(con,conjecture,
    ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
    @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iu04a43FNQ/E---3.1_27774.p',con) ).

thf(ax_004,axiom,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( ( instance_THFTYPE_IiioI @ X1 @ lMeeting_THFTYPE_i )
        & ( agent_THFTYPE_IiioI @ X1 @ X3 )
        & ( agent_THFTYPE_IiioI @ X1 @ X2 ) )
     => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X1 ) @ ( orientation_THFTYPE_IiiioI @ X3 @ X2 @ lNear_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iu04a43FNQ/E---3.1_27774.p',ax_004) ).

thf(ax_005,axiom,
    ! [X4: $i,X5: $i] :
      ( ( orientation_THFTYPE_IiiioI @ X4 @ X5 @ lNear_THFTYPE_i )
     => ~ ( connected_THFTYPE_IiioI @ X4 @ X5 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iu04a43FNQ/E---3.1_27774.p',ax_005) ).

thf(ax_003,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
    file('/export/starexec/sandbox2/tmp/tmp.iu04a43FNQ/E---3.1_27774.p',ax_003) ).

thf(ax_002,axiom,
    instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
    file('/export/starexec/sandbox2/tmp/tmp.iu04a43FNQ/E---3.1_27774.p',ax_002) ).

thf(ax,axiom,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
    file('/export/starexec/sandbox2/tmp/tmp.iu04a43FNQ/E---3.1_27774.p',ax) ).

thf(ax_001,axiom,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
    file('/export/starexec/sandbox2/tmp/tmp.iu04a43FNQ/E---3.1_27774.p',ax_001) ).

thf(c_0_7,negated_conjecture,
    ~ ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
        | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) )
      & ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
        | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[con])])]) ).

thf(c_0_8,axiom,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( ( instance_THFTYPE_IiioI @ X1 @ lMeeting_THFTYPE_i )
        & ( agent_THFTYPE_IiioI @ X1 @ X3 )
        & ( agent_THFTYPE_IiioI @ X1 @ X2 ) )
     => ( ( ~ ( orientation_THFTYPE_IiiioI @ X3 @ X2 @ lNear_THFTYPE_i )
          | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X1 ) @ $true ) )
        & ( ( orientation_THFTYPE_IiiioI @ X3 @ X2 @ lNear_THFTYPE_i )
          | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X1 ) @ $false ) ) ) ),
    inference(fool_unroll,[status(thm)],[ax_004]) ).

thf(c_0_9,negated_conjecture,
    ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      | ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
    & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false )
      | ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
    & ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) )
    & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $false )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

thf(c_0_10,plain,
    ! [X4: $i,X5: $i] :
      ( ( orientation_THFTYPE_IiiioI @ X4 @ X5 @ lNear_THFTYPE_i )
     => ~ ( connected_THFTYPE_IiioI @ X4 @ X5 ) ),
    inference(fof_simplification,[status(thm)],[ax_005]) ).

thf(c_0_11,plain,
    ! [X11: $i,X12: $i,X13: $i] :
      ( ( ~ ( orientation_THFTYPE_IiiioI @ X13 @ X12 @ lNear_THFTYPE_i )
        | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X11 ) @ $true )
        | ~ ( instance_THFTYPE_IiioI @ X11 @ lMeeting_THFTYPE_i )
        | ~ ( agent_THFTYPE_IiioI @ X11 @ X13 )
        | ~ ( agent_THFTYPE_IiioI @ X11 @ X12 ) )
      & ( ( orientation_THFTYPE_IiiioI @ X13 @ X12 @ lNear_THFTYPE_i )
        | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X11 ) @ $false )
        | ~ ( instance_THFTYPE_IiioI @ X11 @ lMeeting_THFTYPE_i )
        | ~ ( agent_THFTYPE_IiioI @ X11 @ X13 )
        | ~ ( agent_THFTYPE_IiioI @ X11 @ X12 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

thf(c_0_12,negated_conjecture,
    ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ $true )
    | ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_13,plain,
    holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
    inference(split_conjunct,[status(thm)],[ax_003]) ).

thf(c_0_14,plain,
    ! [X14: $i,X15: $i] :
      ( ~ ( orientation_THFTYPE_IiiioI @ X14 @ X15 @ lNear_THFTYPE_i )
      | ~ ( connected_THFTYPE_IiioI @ X14 @ X15 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

thf(c_0_15,plain,
    ! [X1: $i,X3: $i,X2: $i] :
      ( ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X3 ) @ ~ $true )
      | ~ ( instance_THFTYPE_IiioI @ X3 @ lMeeting_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ X3 @ X1 )
      | ~ ( agent_THFTYPE_IiioI @ X3 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_16,plain,
    instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_002]) ).

thf(c_0_17,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ $true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

thf(c_0_18,plain,
    ! [X1: $i,X2: $i] :
      ( ~ ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i )
      | ~ ( connected_THFTYPE_IiioI @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

thf(c_0_19,plain,
    ! [X2: $i,X1: $i] :
      ( ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i )
      | ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X2 )
      | ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

thf(c_0_20,negated_conjecture,
    ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
    | ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_21,plain,
    ! [X2: $i,X1: $i] :
      ( ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 )
      | ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X2 )
      | ~ ( connected_THFTYPE_IiioI @ X2 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

thf(c_0_22,negated_conjecture,
    connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_13])]) ).

thf(c_0_23,plain,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax]) ).

thf(c_0_24,plain,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_001]) ).

thf(c_0_25,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR141^1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Fri May  3 15:18:22 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  Running higher-order theorem proving
% 0.19/0.46  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.iu04a43FNQ/E---3.1_27774.p
% 0.19/0.47  # Version: 3.1.0-ho
% 0.19/0.47  # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.19/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47  # Starting full_lambda_5 with 300s (1) cores
% 0.19/0.47  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.47  # full_lambda_5 with pid 27854 completed with status 0
% 0.19/0.47  # Result found by full_lambda_5
% 0.19/0.47  # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.19/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47  # Starting full_lambda_5 with 300s (1) cores
% 0.19/0.47  # No SInE strategy applied
% 0.19/0.47  # Search class: HGHNF-FFSS11-SFFFFFNN
% 0.19/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47  # Starting new_ho_10 with 163s (1) cores
% 0.19/0.47  # new_ho_10 with pid 27858 completed with status 0
% 0.19/0.47  # Result found by new_ho_10
% 0.19/0.47  # Preprocessing class: HSMSSMSSSSSNFFN.
% 0.19/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting new_ho_10 with 1500s (5) cores
% 0.19/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47  # Starting full_lambda_5 with 300s (1) cores
% 0.19/0.47  # No SInE strategy applied
% 0.19/0.47  # Search class: HGHNF-FFSS11-SFFFFFNN
% 0.19/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47  # Starting new_ho_10 with 163s (1) cores
% 0.19/0.47  # Preprocessing time       : 0.001 s
% 0.19/0.47  # Presaturation interreduction done
% 0.19/0.47  
% 0.19/0.47  # Proof found!
% 0.19/0.47  # SZS status Theorem
% 0.19/0.47  # SZS output start CNFRefutation
% See solution above
% 0.19/0.47  # Parsed axioms                        : 19
% 0.19/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.47  # Initial clauses                      : 23
% 0.19/0.47  # Removed in clause preprocessing      : 13
% 0.19/0.47  # Initial clauses in saturation        : 10
% 0.19/0.47  # Processed clauses                    : 21
% 0.19/0.47  # ...of these trivial                  : 0
% 0.19/0.47  # ...subsumed                          : 0
% 0.19/0.47  # ...remaining for further processing  : 21
% 0.19/0.47  # Other redundant clauses eliminated   : 0
% 0.19/0.47  # Clauses deleted for lack of memory   : 0
% 0.19/0.47  # Backward-subsumed                    : 1
% 0.19/0.47  # Backward-rewritten                   : 0
% 0.19/0.47  # Generated clauses                    : 4
% 0.19/0.47  # ...of the previous two non-redundant : 3
% 0.19/0.47  # ...aggressively subsumed             : 0
% 0.19/0.47  # Contextual simplify-reflections      : 0
% 0.19/0.47  # Paramodulations                      : 4
% 0.19/0.47  # Factorizations                       : 0
% 0.19/0.47  # NegExts                              : 0
% 0.19/0.47  # Equation resolutions                 : 0
% 0.19/0.47  # Disequality decompositions           : 0
% 0.19/0.47  # Total rewrite steps                  : 4
% 0.19/0.47  # ...of those cached                   : 1
% 0.19/0.47  # Propositional unsat checks           : 0
% 0.19/0.47  #    Propositional check models        : 0
% 0.19/0.47  #    Propositional check unsatisfiable : 0
% 0.19/0.47  #    Propositional clauses             : 0
% 0.19/0.47  #    Propositional clauses after purity: 0
% 0.19/0.47  #    Propositional unsat core size     : 0
% 0.19/0.47  #    Propositional preprocessing time  : 0.000
% 0.19/0.47  #    Propositional encoding time       : 0.000
% 0.19/0.47  #    Propositional solver time         : 0.000
% 0.19/0.47  #    Success case prop preproc time    : 0.000
% 0.19/0.47  #    Success case prop encoding time   : 0.000
% 0.19/0.47  #    Success case prop solver time     : 0.000
% 0.19/0.47  # Current number of processed clauses  : 11
% 0.19/0.47  #    Positive orientable unit clauses  : 5
% 0.19/0.47  #    Positive unorientable unit clauses: 0
% 0.19/0.47  #    Negative unit clauses             : 1
% 0.19/0.47  #    Non-unit-clauses                  : 5
% 0.19/0.47  # Current number of unprocessed clauses: 1
% 0.19/0.47  # ...number of literals in the above   : 6
% 0.19/0.47  # Current number of archived formulas  : 0
% 0.19/0.47  # Current number of archived clauses   : 10
% 0.19/0.47  # Clause-clause subsumption calls (NU) : 11
% 0.19/0.47  # Rec. Clause-clause subsumption calls : 3
% 0.19/0.47  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.47  # Unit Clause-clause subsumption calls : 1
% 0.19/0.47  # Rewrite failures with RHS unbound    : 0
% 0.19/0.47  # BW rewrite match attempts            : 0
% 0.19/0.47  # BW rewrite match successes           : 0
% 0.19/0.47  # Condensation attempts                : 21
% 0.19/0.47  # Condensation successes               : 0
% 0.19/0.47  # Termbank termtop insertions          : 1047
% 0.19/0.47  # Search garbage collected termcells   : 105
% 0.19/0.47  
% 0.19/0.47  # -------------------------------------------------
% 0.19/0.47  # User time                : 0.003 s
% 0.19/0.47  # System time              : 0.002 s
% 0.19/0.47  # Total time               : 0.005 s
% 0.19/0.47  # Maximum resident set size: 1764 pages
% 0.19/0.47  
% 0.19/0.47  # -------------------------------------------------
% 0.19/0.47  # User time                : 0.003 s
% 0.19/0.47  # System time              : 0.005 s
% 0.19/0.47  # Total time               : 0.007 s
% 0.19/0.47  # Maximum resident set size: 1704 pages
% 0.19/0.47  % E---3.1 exiting
% 0.19/0.47  % E exiting
%------------------------------------------------------------------------------