TSTP Solution File: CSR142^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR142^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 07:34:39 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% 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_22,type,
    husband_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_23,type,
    lChris_THFTYPE_i: $i ).

thf(decl_24,type,
    lCorina_THFTYPE_i: $i ).

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

thf(decl_26,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(con,conjecture,
    ? [X5: $i] : ( husband_THFTYPE_IiioI @ X5 @ lCorina_THFTYPE_i ),
    file('/export/starexec/sandbox/tmp/tmp.Zo6q9fOh9H/E---3.1_3915.p',con) ).

thf(ax_001,axiom,
    ! [X1: $i > $i > $o,X2: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ X1 )
     => ! [X3: $i,X4: $i] :
          ( ( X2 @ X3 @ X4 )
        <=> ( X1 @ X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Zo6q9fOh9H/E---3.1_3915.p',ax_001) ).

thf(ax,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    file('/export/starexec/sandbox/tmp/tmp.Zo6q9fOh9H/E---3.1_3915.p',ax) ).

thf(ax_002,axiom,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.Zo6q9fOh9H/E---3.1_3915.p',ax_002) ).

thf(c_0_4,negated_conjecture,
    ~ ? [X5: $i] : ( husband_THFTYPE_IiioI @ X5 @ lCorina_THFTYPE_i ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_5,plain,
    ! [X11: $i > $i > $o,X12: $i > $i > $o,X13: $i,X14: $i] :
      ( ( ~ ( X12 @ X13 @ X14 )
        | ( X11 @ X14 @ X13 )
        | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X12 @ X11 ) )
      & ( ~ ( X11 @ X14 @ X13 )
        | ( X12 @ X13 @ X14 )
        | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X12 @ X11 ) ) ),
    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_001])])])])]) ).

thf(c_0_6,negated_conjecture,
    ! [X15: $i] :
      ~ ( husband_THFTYPE_IiioI @ X15 @ 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,
    ! [X4: $i,X3: $i,X2: $i > $i > $o,X1: $i > $i > $o] :
      ( ( X2 @ X4 @ X3 )
      | ~ ( X1 @ X3 @ X4 )
      | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ 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]) ).

thf(c_0_9,negated_conjecture,
    ! [X3: $i] :
      ~ ( husband_THFTYPE_IiioI @ X3 @ lCorina_THFTYPE_i ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_10,plain,
    ! [X4: $i,X3: $i] :
      ( ( husband_THFTYPE_IiioI @ X3 @ X4 )
      | ~ ( wife_THFTYPE_IiioI @ X4 @ X3 ) ),
    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_002]) ).

thf(c_0_12,negated_conjecture,
    ! [X3: $i] :
      ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X3 ),
    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
% 0.12/0.13  % Problem    : CSR142^1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 15:10:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running higher-order theorem proving
% 0.20/0.49  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.Zo6q9fOh9H/E---3.1_3915.p
% 0.20/0.50  # Version: 3.1.0-ho
% 0.20/0.50  # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting new_ho_14 with 1500s (5) cores
% 0.20/0.50  # Starting full_lambda_8 with 300s (1) cores
% 0.20/0.50  # Starting new_ho_13 with 300s (1) cores
% 0.20/0.50  # Starting ho_unfolding_3 with 300s (1) cores
% 0.20/0.50  # ho_unfolding_3 with pid 3998 completed with status 0
% 0.20/0.50  # Result found by ho_unfolding_3
% 0.20/0.50  # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting new_ho_14 with 1500s (5) cores
% 0.20/0.50  # Starting full_lambda_8 with 300s (1) cores
% 0.20/0.50  # Starting new_ho_13 with 300s (1) cores
% 0.20/0.50  # Starting ho_unfolding_3 with 300s (1) cores
% 0.20/0.50  # No SInE strategy applied
% 0.20/0.50  # Search class: HHUNF-FFSF00-SSFFFSBN
% 0.20/0.50  # partial match(1): HHUNF-FFSF00-SSSFFSBN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting ho_unfolding_3 with 181s (1) cores
% 0.20/0.50  # ho_unfolding_3 with pid 4006 completed with status 0
% 0.20/0.50  # Result found by ho_unfolding_3
% 0.20/0.50  # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting new_ho_14 with 1500s (5) cores
% 0.20/0.50  # Starting full_lambda_8 with 300s (1) cores
% 0.20/0.50  # Starting new_ho_13 with 300s (1) cores
% 0.20/0.50  # Starting ho_unfolding_3 with 300s (1) cores
% 0.20/0.50  # No SInE strategy applied
% 0.20/0.50  # Search class: HHUNF-FFSF00-SSFFFSBN
% 0.20/0.50  # partial match(1): HHUNF-FFSF00-SSSFFSBN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting ho_unfolding_3 with 181s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 10
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.50  # Initial clauses                      : 11
% 0.20/0.50  # Removed in clause preprocessing      : 6
% 0.20/0.50  # Initial clauses in saturation        : 5
% 0.20/0.50  # Processed clauses                    : 13
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 0
% 0.20/0.50  # ...remaining for further processing  : 13
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 0
% 0.20/0.50  # Backward-rewritten                   : 0
% 0.20/0.50  # Generated clauses                    : 5
% 0.20/0.50  # ...of the previous two non-redundant : 3
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 0
% 0.20/0.50  # Paramodulations                      : 4
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Disequality decompositions           : 0
% 0.20/0.50  # Total rewrite steps                  : 0
% 0.20/0.50  # ...of those cached                   : 0
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 7
% 0.20/0.50  #    Positive orientable unit clauses  : 1
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 2
% 0.20/0.50  #    Non-unit-clauses                  : 4
% 0.20/0.50  # Current number of unprocessed clauses: 0
% 0.20/0.50  # ...number of literals in the above   : 0
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 6
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 4
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 4
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.50  # Unit Clause-clause subsumption calls : 1
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 0
% 0.20/0.50  # BW rewrite match successes           : 0
% 0.20/0.50  # Condensation attempts                : 13
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 482
% 0.20/0.50  # Search garbage collected termcells   : 75
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.005 s
% 0.20/0.50  # System time              : 0.001 s
% 0.20/0.50  # Total time               : 0.005 s
% 0.20/0.50  # Maximum resident set size: 1768 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.005 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.009 s
% 0.20/0.50  # Maximum resident set size: 1720 pages
% 0.20/0.50  % E---3.1 exiting
% 0.20/0.50  % E exiting
%------------------------------------------------------------------------------