TSTP Solution File: CSR139^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR139^1 : TPTP v8.2.0. 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 : Mon May 20 19:16:40 EDT 2024

% Result   : Theorem 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (  14 unt;   5 typ;   0 def)
%            Number of atoms       :   17 (   6 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   53 (  12   ~;   5   |;   4   &;  32   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   20 (  20   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   6 con; 0-2 aty)
%            Number of variables   :   17 (   2   ^   9   !;   6   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    lAnna_THFTYPE_i: $i ).

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

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

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

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

thf(con,conjecture,
    ? [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
      ( ( X2 @ X3 @ lBill_THFTYPE_i )
      & ( X1 @ X3 @ lAnna_THFTYPE_i )
      & ( X2 != X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(ax_007,axiom,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).

thf(ax_009,axiom,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_009) ).

thf(c_0_3,negated_conjecture,
    ~ ? [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
        ( ( X2 @ X3 @ lBill_THFTYPE_i )
        & ( X1 @ X3 @ lAnna_THFTYPE_i )
        & ( X2 != X1 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

thf(c_0_4,negated_conjecture,
    ! [X7: $i > $i > $o,X8: $i > $i > $o,X9: $i] :
      ( ~ ( X8 @ X9 @ lBill_THFTYPE_i )
      | ~ ( X7 @ X9 @ lAnna_THFTYPE_i )
      | ( X8 = X7 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

thf(c_0_5,negated_conjecture,
    ! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
      ( ( X1 = X2 )
      | ~ ( X1 @ X3 @ lBill_THFTYPE_i )
      | ~ ( X2 @ X3 @ lAnna_THFTYPE_i ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_6,plain,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    inference(split_conjunct,[status(thm)],[ax_007]) ).

thf(c_0_7,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(fof_simplification,[status(thm)],[ax_009]) ).

thf(c_0_8,negated_conjecture,
    ! [X1: $i > $i > $o] :
      ( ( X1 = parent_THFTYPE_IiioI )
      | ~ ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

thf(c_0_9,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(fof_nnf,[status(thm)],[c_0_7]) ).

thf(c_0_10,negated_conjecture,
    ( ( ^ [Z0: $i,Z1: $i] : $true )
    = parent_THFTYPE_IiioI ),
    inference(er,[status(thm)],[c_0_8]) ).

thf(c_0_11,plain,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_12,negated_conjecture,
    ! [X3: $i,X6: $i] : ( parent_THFTYPE_IiioI @ X3 @ X6 ),
    inference(arg_cong,[status(thm)],[c_0_10]) ).

thf(c_0_13,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR139^1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 02:16:37 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running higher-order theorem proving
% 0.20/0.48  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/benchmark/theBenchmark.p
% 0.20/0.51  # Version: 3.1.0-ho
% 0.20/0.51  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.20/0.51  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_9 with 300s (1) cores
% 0.20/0.51  # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.51  # Starting post_as_ho4 with 300s (1) cores
% 0.20/0.51  # Starting post_as_ho2 with 300s (1) cores
% 0.20/0.51  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.51  # Starting full_lambda_10 with 300s (1) cores
% 0.20/0.51  # Starting new_ho_8 with 300s (1) cores
% 0.20/0.51  # post_as_ho12 with pid 15329 completed with status 0
% 0.20/0.51  # Result found by post_as_ho12
% 0.20/0.51  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.20/0.51  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.51  # No SInE strategy applied
% 0.20/0.51  # Search class: HHUSF-FFSM00-SSSFFFBN
% 0.20/0.51  # partial match(1): HHUNF-FFSM00-SSSFFFBN
% 0.20/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting new_ho_10 with 163s (1) cores
% 0.20/0.51  # new_ho_10 with pid 15337 completed with status 9
% 0.20/0.51  # Starting post_as_ho12 with 31s (1) cores
% 0.20/0.51  # post_as_ho12 with pid 15345 completed with status 0
% 0.20/0.51  # Result found by post_as_ho12
% 0.20/0.51  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.20/0.51  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.51  # No SInE strategy applied
% 0.20/0.51  # Search class: HHUSF-FFSM00-SSSFFFBN
% 0.20/0.51  # partial match(1): HHUNF-FFSM00-SSSFFFBN
% 0.20/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting new_ho_10 with 163s (1) cores
% 0.20/0.51  # new_ho_10 with pid 15337 completed with status 9
% 0.20/0.51  # Starting post_as_ho12 with 31s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.001 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Theorem
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 20
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.51  # Initial clauses                      : 20
% 0.20/0.51  # Removed in clause preprocessing      : 9
% 0.20/0.51  # Initial clauses in saturation        : 11
% 0.20/0.51  # Processed clauses                    : 32
% 0.20/0.51  # ...of these trivial                  : 1
% 0.20/0.51  # ...subsumed                          : 1
% 0.20/0.51  # ...remaining for further processing  : 30
% 0.20/0.51  # Other redundant clauses eliminated   : 0
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 0
% 0.20/0.51  # Backward-rewritten                   : 6
% 0.20/0.51  # Generated clauses                    : 45
% 0.20/0.51  # ...of the previous two non-redundant : 33
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 0
% 0.20/0.51  # Paramodulations                      : 12
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 5
% 0.20/0.51  # Disequality decompositions           : 0
% 0.20/0.51  # Total rewrite steps                  : 5
% 0.20/0.51  # ...of those cached                   : 0
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 13
% 0.20/0.51  #    Positive orientable unit clauses  : 7
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 1
% 0.20/0.51  #    Non-unit-clauses                  : 5
% 0.20/0.51  # Current number of unprocessed clauses: 23
% 0.20/0.51  # ...number of literals in the above   : 49
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 17
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 10
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 6
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 1
% 0.20/0.51  # Unit Clause-clause subsumption calls : 2
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 9
% 0.20/0.51  # BW rewrite match successes           : 6
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 1863
% 0.20/0.51  # Search garbage collected termcells   : 55
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.014 s
% 0.20/0.51  # System time              : 0.004 s
% 0.20/0.51  # Total time               : 0.018 s
% 0.20/0.51  # Maximum resident set size: 1784 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.016 s
% 0.20/0.51  # System time              : 0.006 s
% 0.20/0.51  # Total time               : 0.022 s
% 0.20/0.51  # Maximum resident set size: 1716 pages
% 0.20/0.51  % E---3.1 exiting
% 0.20/0.51  % E exiting
%------------------------------------------------------------------------------