TSTP Solution File: CSR143^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR143^1 : 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 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   30 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   67 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  176 (  26   ~;  20   |;   7   &; 121   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   25 (  25   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^  20   !;   2   ?;  22   :)

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

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

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

thf(decl_25,type,
    lCorina_THFTYPE_i: $i ).

thf(decl_26,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(decl_27,type,
    n2009_THFTYPE_i: $i ).

thf(decl_28,type,
    wife_THFTYPE_IiioI: $i > $i > $o ).

thf(decl_29,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(con,conjecture,
    ? [X6: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X6 @ lCorina_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/tmp/tmp.GYkW7pLd2e/E---3.1_7402.p',con) ).

thf(ax_003,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    file('/export/starexec/sandbox2/tmp/tmp.GYkW7pLd2e/E---3.1_7402.p',ax_003) ).

thf(ax_002,axiom,
    ! [X5: $i] : ( holdsDuring_THFTYPE_IiooI @ X5 @ $true ),
    file('/export/starexec/sandbox2/tmp/tmp.GYkW7pLd2e/E---3.1_7402.p',ax_002) ).

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/sandbox2/tmp/tmp.GYkW7pLd2e/E---3.1_7402.p',ax_001) ).

thf(ax,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    file('/export/starexec/sandbox2/tmp/tmp.GYkW7pLd2e/E---3.1_7402.p',ax) ).

thf(c_0_5,negated_conjecture,
    ~ ? [X6: $i] :
        ( ( ~ ( husband_THFTYPE_IiioI @ X6 @ lCorina_THFTYPE_i )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
        & ( ( husband_THFTYPE_IiioI @ X6 @ lCorina_THFTYPE_i )
          | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

thf(c_0_6,axiom,
    ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fool_unroll,[status(thm)],[ax_003]) ).

thf(c_0_7,negated_conjecture,
    ! [X13: $i] :
      ( ( ~ ( husband_THFTYPE_IiioI @ X13 @ lCorina_THFTYPE_i )
        | ( husband_THFTYPE_IiioI @ X13 @ lCorina_THFTYPE_i ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ( husband_THFTYPE_IiioI @ X13 @ lCorina_THFTYPE_i ) )
      & ( ~ ( husband_THFTYPE_IiioI @ X13 @ lCorina_THFTYPE_i )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
      & ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

thf(c_0_8,plain,
    ! [X14: $i] : ( holdsDuring_THFTYPE_IiooI @ X14 @ $true ),
    inference(variable_rename,[status(thm)],[ax_002]) ).

thf(c_0_9,plain,
    ! [X15: $i > $i > $o,X16: $i > $i > $o,X17: $i,X18: $i] :
      ( ( ~ ( X16 @ X17 @ X18 )
        | ( X15 @ X18 @ X17 )
        | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X16 @ X15 ) )
      & ( ~ ( X15 @ X18 @ X17 )
        | ( X16 @ X17 @ X18 )
        | ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X16 @ X15 ) ) ),
    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_10,plain,
    ( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
    & ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
      | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

thf(c_0_11,negated_conjecture,
    ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
    | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_12,plain,
    ! [X3: $i] : ( holdsDuring_THFTYPE_IiooI @ X3 @ $true ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_13,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_9]) ).

thf(c_0_14,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(split_conjunct,[status(thm)],[ax]) ).

thf(c_0_15,plain,
    ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
    | ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_16,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

thf(c_0_17,negated_conjecture,
    ! [X3: $i] :
      ( ~ ( husband_THFTYPE_IiioI @ X3 @ lCorina_THFTYPE_i )
      | ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_18,plain,
    ! [X4: $i,X3: $i] :
      ( ( husband_THFTYPE_IiioI @ X3 @ X4 )
      | ~ ( wife_THFTYPE_IiioI @ X4 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_19,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference(sr,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_20,negated_conjecture,
    ! [X3: $i] :
      ~ ( husband_THFTYPE_IiioI @ X3 @ lCorina_THFTYPE_i ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_12])]) ).

thf(c_0_21,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : CSR143^1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 14:55:08 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.16/0.43  Running higher-order theorem proving
% 0.16/0.43  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.GYkW7pLd2e/E---3.1_7402.p
% 0.16/0.44  # Version: 3.1.0-ho
% 0.16/0.44  # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting new_ho_14 with 1500s (5) cores
% 0.16/0.44  # Starting full_lambda_8 with 300s (1) cores
% 0.16/0.44  # Starting new_ho_13 with 300s (1) cores
% 0.16/0.44  # Starting ho_unfolding_3 with 300s (1) cores
% 0.16/0.44  # new_ho_14 with pid 7482 completed with status 0
% 0.16/0.44  # Result found by new_ho_14
% 0.16/0.44  # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting new_ho_14 with 1500s (5) cores
% 0.16/0.44  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44  # Search class: HGHNF-FFSF11-SSFFFSBN
% 0.16/0.44  # partial match(1): HGHNF-FFSF11-SSSFFSBN
% 0.16/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44  # Starting ehoh_best2_full_lfho with 811s (1) cores
% 0.16/0.44  # Starting new_ho_14 with 151s (1) cores
% 0.16/0.44  # Starting sh2l with 136s (1) cores
% 0.16/0.44  # Starting post_as_ho1 with 136s (1) cores
% 0.16/0.44  # Starting ehoh_best3_rw with 136s (1) cores
% 0.16/0.44  # new_ho_14 with pid 7487 completed with status 0
% 0.16/0.44  # Result found by new_ho_14
% 0.16/0.44  # Preprocessing class: HSSSSMSSSSSNSFA.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting new_ho_14 with 1500s (5) cores
% 0.16/0.44  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44  # Search class: HGHNF-FFSF11-SSFFFSBN
% 0.16/0.44  # partial match(1): HGHNF-FFSF11-SSSFFSBN
% 0.16/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44  # Starting ehoh_best2_full_lfho with 811s (1) cores
% 0.16/0.44  # Starting new_ho_14 with 151s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.001 s
% 0.16/0.44  # Presaturation interreduction done
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Theorem
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 14
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 9
% 0.16/0.44  # Initial clauses                      : 10
% 0.16/0.44  # Removed in clause preprocessing      : 1
% 0.16/0.44  # Initial clauses in saturation        : 9
% 0.16/0.44  # Processed clauses                    : 16
% 0.16/0.44  # ...of these trivial                  : 1
% 0.16/0.44  # ...subsumed                          : 1
% 0.16/0.44  # ...remaining for further processing  : 14
% 0.16/0.44  # Other redundant clauses eliminated   : 0
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 0
% 0.16/0.44  # Backward-rewritten                   : 0
% 0.16/0.44  # Generated clauses                    : 2
% 0.16/0.44  # ...of the previous two non-redundant : 1
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 0
% 0.16/0.44  # Paramodulations                      : 2
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 0
% 0.16/0.44  # Disequality decompositions           : 0
% 0.16/0.44  # Total rewrite steps                  : 3
% 0.16/0.44  # ...of those cached                   : 2
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 7
% 0.16/0.44  #    Positive orientable unit clauses  : 3
% 0.16/0.44  #    Positive unorientable unit clauses: 0
% 0.16/0.44  #    Negative unit clauses             : 2
% 0.16/0.44  #    Non-unit-clauses                  : 2
% 0.16/0.44  # Current number of unprocessed clauses: 1
% 0.16/0.44  # ...number of literals in the above   : 3
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 8
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 2
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 2
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.44  # Unit Clause-clause subsumption calls : 0
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 0
% 0.16/0.44  # BW rewrite match successes           : 0
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 672
% 0.16/0.44  # Search garbage collected termcells   : 106
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.002 s
% 0.16/0.44  # System time              : 0.003 s
% 0.16/0.44  # Total time               : 0.005 s
% 0.16/0.44  # Maximum resident set size: 1852 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.009 s
% 0.16/0.44  # System time              : 0.009 s
% 0.16/0.44  # Total time               : 0.018 s
% 0.16/0.44  # Maximum resident set size: 1724 pages
% 0.16/0.44  % E---3.1 exiting
% 0.16/0.44  % E exiting
%------------------------------------------------------------------------------