TSTP Solution File: CSR142^2 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : CSR142^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : Mon Jun 24 05:07:30 EDT 2024

% Result   : Theorem 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  10 unt;   5 typ;   0 def)
%            Number of atoms       :   20 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   67 (  11   ~;   7   |;   1   &;  46   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^  17   !;   2   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_44,type,
    husband_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_54,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(decl_63,type,
    lChris_THFTYPE_i: $i ).

thf(decl_64,type,
    lCorina_THFTYPE_i: $i ).

thf(decl_124,type,
    wife_THFTYPE_IiioI: $i > $i > $o ).

thf(con,conjecture,
    ? [X7: $i] : ( husband_THFTYPE_IiioI @ X7 @ lCorina_THFTYPE_i ),
    file('/export/starexec/sandbox2/tmp/tmp.zipScx0Ids/E---3.1_26545.p',con) ).

thf(ax_006,axiom,
    ! [X11: $i > $i > $o,X12: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X12 @ X11 )
     => ! [X13: $i,X14: $i] :
          ( ( X12 @ X13 @ X14 )
        <=> ( X11 @ X14 @ X13 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zipScx0Ids/E---3.1_26545.p',ax_006) ).

thf(ax_042,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    file('/export/starexec/sandbox2/tmp/tmp.zipScx0Ids/E---3.1_26545.p',ax_042) ).

thf(ax_051,axiom,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    file('/export/starexec/sandbox2/tmp/tmp.zipScx0Ids/E---3.1_26545.p',ax_051) ).

thf(c_0_4,negated_conjecture,
    ~ ? [X7: $i] : ( husband_THFTYPE_IiioI @ X7 @ lCorina_THFTYPE_i ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_5,plain,
    ! [X183: $i > $i > $o,X184: $i > $i > $o,X185: $i,X186: $i] :
      ( ( ~ ( X184 @ X185 @ X186 )
        | ( X183 @ X186 @ X185 )
        | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X184 @ X183 ) )
      & ( ~ ( X183 @ X186 @ X185 )
        | ( X184 @ X185 @ X186 )
        | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X184 @ X183 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_006])])])])]) ).

thf(c_0_6,negated_conjecture,
    ! [X182: $i] :
      ~ ( husband_THFTYPE_IiioI @ X182 @ lCorina_THFTYPE_i ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

thf(c_0_7,plain,
    ! [X2: $i,X11: $i > $i > $o,X3: $i,X1: $i > $i > $o] :
      ( ( X11 @ X3 @ X2 )
      | ~ ( X1 @ X2 @ X3 )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X11 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(split_conjunct,[status(thm)],[ax_042]) ).

thf(c_0_9,negated_conjecture,
    ! [X2: $i] :
      ~ ( husband_THFTYPE_IiioI @ X2 @ lCorina_THFTYPE_i ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_10,plain,
    ! [X3: $i,X2: $i] :
      ( ( husband_THFTYPE_IiioI @ X2 @ X3 )
      | ~ ( wife_THFTYPE_IiioI @ X3 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_11,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_051]) ).

thf(c_0_12,negated_conjecture,
    ! [X2: $i] :
      ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X2 ),
    inference(spm,[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
% 0.06/0.12  % Problem    : CSR142^2 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n029.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Wed Jun 19 22:02:53 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.17/0.44  Running higher-order theorem proving
% 0.17/0.44  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.zipScx0Ids/E---3.1_26545.p
% 0.17/0.47  # Version: 3.2.0-ho
% 0.17/0.47  # Preprocessing class: HSLMSMSMSSSNHFA.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.17/0.47  # Starting new_ho_10 with 300s (1) cores
% 0.17/0.47  # Starting new_bool_6 with 300s (1) cores
% 0.17/0.47  # Starting lpo8_s with 300s (1) cores
% 0.17/0.47  # lpo8_s with pid 26626 completed with status 0
% 0.17/0.47  # Result found by lpo8_s
% 0.17/0.47  # Preprocessing class: HSLMSMSMSSSNHFA.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.17/0.47  # Starting new_ho_10 with 300s (1) cores
% 0.17/0.47  # Starting new_bool_6 with 300s (1) cores
% 0.17/0.47  # Starting lpo8_s with 300s (1) cores
% 0.17/0.47  # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.17/0.47  # Search class: HGHSF-FFMM21-SHFFFFBN
% 0.17/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting new_ho_10 with 163s (1) cores
% 0.17/0.47  # new_ho_10 with pid 26634 completed with status 0
% 0.17/0.47  # Result found by new_ho_10
% 0.17/0.47  # Preprocessing class: HSLMSMSMSSSNHFA.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.17/0.47  # Starting new_ho_10 with 300s (1) cores
% 0.17/0.47  # Starting new_bool_6 with 300s (1) cores
% 0.17/0.47  # Starting lpo8_s with 300s (1) cores
% 0.17/0.47  # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.17/0.47  # Search class: HGHSF-FFMM21-SHFFFFBN
% 0.17/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting new_ho_10 with 163s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.003 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Theorem
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.47  # Parsed axioms                        : 334
% 0.17/0.47  # Removed by relevancy pruning/SinE    : 112
% 0.17/0.47  # Initial clauses                      : 239
% 0.17/0.47  # Removed in clause preprocessing      : 5
% 0.17/0.47  # Initial clauses in saturation        : 234
% 0.17/0.47  # Processed clauses                    : 456
% 0.17/0.47  # ...of these trivial                  : 2
% 0.17/0.47  # ...subsumed                          : 4
% 0.17/0.47  # ...remaining for further processing  : 450
% 0.17/0.47  # Other redundant clauses eliminated   : 2
% 0.17/0.47  # Clauses deleted for lack of memory   : 0
% 0.17/0.47  # Backward-subsumed                    : 0
% 0.17/0.47  # Backward-rewritten                   : 0
% 0.17/0.47  # Generated clauses                    : 48
% 0.17/0.47  # ...of the previous two non-redundant : 36
% 0.17/0.47  # ...aggressively subsumed             : 0
% 0.17/0.47  # Contextual simplify-reflections      : 0
% 0.17/0.47  # Paramodulations                      : 44
% 0.17/0.47  # Factorizations                       : 0
% 0.17/0.47  # NegExts                              : 0
% 0.17/0.47  # Equation resolutions                 : 3
% 0.17/0.47  # Disequality decompositions           : 0
% 0.17/0.47  # Total rewrite steps                  : 10
% 0.17/0.47  # ...of those cached                   : 0
% 0.17/0.47  # Propositional unsat checks           : 0
% 0.17/0.47  #    Propositional check models        : 0
% 0.17/0.47  #    Propositional check unsatisfiable : 0
% 0.17/0.47  #    Propositional clauses             : 0
% 0.17/0.47  #    Propositional clauses after purity: 0
% 0.17/0.47  #    Propositional unsat core size     : 0
% 0.17/0.47  #    Propositional preprocessing time  : 0.000
% 0.17/0.47  #    Propositional encoding time       : 0.000
% 0.17/0.47  #    Propositional solver time         : 0.000
% 0.17/0.47  #    Success case prop preproc time    : 0.000
% 0.17/0.47  #    Success case prop encoding time   : 0.000
% 0.17/0.47  #    Success case prop solver time     : 0.000
% 0.17/0.47  # Current number of processed clauses  : 218
% 0.17/0.47  #    Positive orientable unit clauses  : 176
% 0.17/0.47  #    Positive unorientable unit clauses: 0
% 0.17/0.47  #    Negative unit clauses             : 11
% 0.17/0.47  #    Non-unit-clauses                  : 31
% 0.17/0.47  # Current number of unprocessed clauses: 43
% 0.17/0.47  # ...number of literals in the above   : 130
% 0.17/0.47  # Current number of archived formulas  : 0
% 0.17/0.47  # Current number of archived clauses   : 230
% 0.17/0.47  # Clause-clause subsumption calls (NU) : 748
% 0.17/0.47  # Rec. Clause-clause subsumption calls : 431
% 0.17/0.47  # Non-unit clause-clause subsumptions  : 4
% 0.17/0.47  # Unit Clause-clause subsumption calls : 93
% 0.17/0.47  # Rewrite failures with RHS unbound    : 0
% 0.17/0.47  # BW rewrite match attempts            : 0
% 0.17/0.47  # BW rewrite match successes           : 0
% 0.17/0.47  # Condensation attempts                : 456
% 0.17/0.47  # Condensation successes               : 1
% 0.17/0.47  # Termbank termtop insertions          : 11915
% 0.17/0.47  # Search garbage collected termcells   : 1813
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.020 s
% 0.17/0.47  # System time              : 0.005 s
% 0.17/0.47  # Total time               : 0.025 s
% 0.17/0.47  # Maximum resident set size: 2672 pages
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.024 s
% 0.17/0.47  # System time              : 0.006 s
% 0.17/0.47  # Total time               : 0.030 s
% 0.17/0.47  # Maximum resident set size: 1980 pages
% 0.17/0.47  % E---3.1 exiting
% 0.17/0.47  % E exiting
%------------------------------------------------------------------------------