TSTP Solution File: ITP159^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP159^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 08:07:10 EDT 2024

% Result   : Theorem 0.38s 0.63s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   21 (  12 unt;   9 typ;   0 def)
%            Number of atoms       :   12 (   3 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   34 (   4   ~;   0   |;   0   &;  30   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    refine424419629nres_a: $tType ).

thf(decl_sort2,type,
    refine432681134nres_b: $tType ).

thf(decl_sort3,type,
    set_Product_prod_a_b: $tType ).

thf(decl_34,type,
    ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).

thf(decl_47,type,
    top_to231829469nres_a: refine424419629nres_a ).

thf(decl_48,type,
    top_to240090974nres_b: refine432681134nres_b ).

thf(decl_72,type,
    refine1441824854un_a_b: set_Product_prod_a_b > refine432681134nres_b > refine424419629nres_a ).

thf(decl_91,type,
    r: set_Product_prod_a_b ).

thf(decl_92,type,
    x: refine424419629nres_a ).

thf(conj_0,conjecture,
    ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ),
    file('/export/starexec/sandbox/tmp/tmp.agOxWtJg4S/E---3.1_9534.p',conj_0) ).

thf(fact_29_conc__fun__FAIL,axiom,
    ! [X41: set_Product_prod_a_b] :
      ( ( refine1441824854un_a_b @ X41 @ top_to240090974nres_b )
      = top_to231829469nres_a ),
    file('/export/starexec/sandbox/tmp/tmp.agOxWtJg4S/E---3.1_9534.p',fact_29_conc__fun__FAIL) ).

thf(fact_32_nres__order__simps_I3_J,axiom,
    ! [X43: refine424419629nres_a] : ( ord_le519537037nres_a @ X43 @ top_to231829469nres_a ),
    file('/export/starexec/sandbox/tmp/tmp.agOxWtJg4S/E---3.1_9534.p',fact_32_nres__order__simps_I3_J) ).

thf(c_0_3,negated_conjecture,
    ~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

thf(c_0_4,negated_conjecture,
    ~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

thf(c_0_5,plain,
    ! [X1195: set_Product_prod_a_b] :
      ( ( refine1441824854un_a_b @ X1195 @ top_to240090974nres_b )
      = top_to231829469nres_a ),
    inference(variable_rename,[status(thm)],[fact_29_conc__fun__FAIL]) ).

thf(c_0_6,negated_conjecture,
    ~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,plain,
    ! [X18: set_Product_prod_a_b] :
      ( ( refine1441824854un_a_b @ X18 @ top_to240090974nres_b )
      = top_to231829469nres_a ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,plain,
    ! [X1218: refine424419629nres_a] : ( ord_le519537037nres_a @ X1218 @ top_to231829469nres_a ),
    inference(variable_rename,[status(thm)],[fact_32_nres__order__simps_I3_J]) ).

thf(c_0_9,negated_conjecture,
    ~ ( ord_le519537037nres_a @ x @ top_to231829469nres_a ),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_10,plain,
    ! [X3: refine424419629nres_a] : ( ord_le519537037nres_a @ X3 @ top_to231829469nres_a ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.17  % Problem    : ITP159^1 : TPTP v8.1.2. Released v7.5.0.
% 0.18/0.19  % Command    : run_E %s %d THM
% 0.19/0.40  % Computer : n011.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40  % CPULimit   : 300
% 0.19/0.40  % WCLimit    : 300
% 0.19/0.40  % DateTime   : Fri May  3 12:43:49 EDT 2024
% 0.19/0.40  % CPUTime    : 
% 0.38/0.59  Running higher-order theorem proving
% 0.38/0.59  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.agOxWtJg4S/E---3.1_9534.p
% 0.38/0.63  # Version: 3.1.0-ho
% 0.38/0.63  # Preprocessing class: HSLSSMSMSSSCHFA.
% 0.38/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.63  # Starting lpo5_fix with 1500s (5) cores
% 0.38/0.63  # Starting lpo6_lambda_fix with 300s (1) cores
% 0.38/0.63  # Starting post_as_ho8 with 300s (1) cores
% 0.38/0.63  # Starting lpo5_rw_fix with 300s (1) cores
% 0.38/0.63  # post_as_ho8 with pid 9637 completed with status 0
% 0.38/0.63  # Result found by post_as_ho8
% 0.38/0.63  # Preprocessing class: HSLSSMSMSSSCHFA.
% 0.38/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.63  # Starting lpo5_fix with 1500s (5) cores
% 0.38/0.63  # Starting lpo6_lambda_fix with 300s (1) cores
% 0.38/0.63  # Starting post_as_ho8 with 300s (1) cores
% 0.38/0.63  # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.38/0.63  # Search class: HGUSM-FFMF33-SHFFFSNN
% 0.38/0.63  # partial match(3): FGUSM-FFMF33-SFFFFFNN
% 0.38/0.63  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.63  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 163s (1) cores
% 0.38/0.63  # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 9645 completed with status 0
% 0.38/0.63  # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 0.38/0.63  # Preprocessing class: HSLSSMSMSSSCHFA.
% 0.38/0.63  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.63  # Starting lpo5_fix with 1500s (5) cores
% 0.38/0.63  # Starting lpo6_lambda_fix with 300s (1) cores
% 0.38/0.63  # Starting post_as_ho8 with 300s (1) cores
% 0.38/0.63  # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.38/0.63  # Search class: HGUSM-FFMF33-SHFFFSNN
% 0.38/0.63  # partial match(3): FGUSM-FFMF33-SFFFFFNN
% 0.38/0.63  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.63  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 163s (1) cores
% 0.38/0.63  # Preprocessing time       : 0.004 s
% 0.38/0.63  # Presaturation interreduction done
% 0.38/0.63  
% 0.38/0.63  # Proof found!
% 0.38/0.63  # SZS status Theorem
% 0.38/0.63  # SZS output start CNFRefutation
% See solution above
% 0.38/0.63  # Parsed axioms                        : 454
% 0.38/0.63  # Removed by relevancy pruning/SinE    : 361
% 0.38/0.63  # Initial clauses                      : 140
% 0.38/0.63  # Removed in clause preprocessing      : 11
% 0.38/0.63  # Initial clauses in saturation        : 129
% 0.38/0.63  # Processed clauses                    : 7
% 0.38/0.63  # ...of these trivial                  : 1
% 0.38/0.63  # ...subsumed                          : 0
% 0.38/0.63  # ...remaining for further processing  : 6
% 0.38/0.63  # Other redundant clauses eliminated   : 0
% 0.38/0.63  # Clauses deleted for lack of memory   : 0
% 0.38/0.63  # Backward-subsumed                    : 0
% 0.38/0.63  # Backward-rewritten                   : 2
% 0.38/0.63  # Generated clauses                    : 0
% 0.38/0.63  # ...of the previous two non-redundant : 1
% 0.38/0.63  # ...aggressively subsumed             : 0
% 0.38/0.63  # Contextual simplify-reflections      : 0
% 0.38/0.63  # Paramodulations                      : 0
% 0.38/0.63  # Factorizations                       : 0
% 0.38/0.63  # NegExts                              : 0
% 0.38/0.63  # Equation resolutions                 : 0
% 0.38/0.63  # Disequality decompositions           : 0
% 0.38/0.63  # Total rewrite steps                  : 3
% 0.38/0.63  # ...of those cached                   : 0
% 0.38/0.63  # Propositional unsat checks           : 0
% 0.38/0.63  #    Propositional check models        : 0
% 0.38/0.63  #    Propositional check unsatisfiable : 0
% 0.38/0.63  #    Propositional clauses             : 0
% 0.38/0.63  #    Propositional clauses after purity: 0
% 0.38/0.63  #    Propositional unsat core size     : 0
% 0.38/0.63  #    Propositional preprocessing time  : 0.000
% 0.38/0.63  #    Propositional encoding time       : 0.000
% 0.38/0.63  #    Propositional solver time         : 0.000
% 0.38/0.63  #    Success case prop preproc time    : 0.000
% 0.38/0.63  #    Success case prop encoding time   : 0.000
% 0.38/0.63  #    Success case prop solver time     : 0.000
% 0.38/0.63  # Current number of processed clauses  : 4
% 0.38/0.63  #    Positive orientable unit clauses  : 4
% 0.38/0.63  #    Positive unorientable unit clauses: 0
% 0.38/0.63  #    Negative unit clauses             : 0
% 0.38/0.63  #    Non-unit-clauses                  : 0
% 0.38/0.63  # Current number of unprocessed clauses: 123
% 0.38/0.63  # ...number of literals in the above   : 339
% 0.38/0.63  # Current number of archived formulas  : 0
% 0.38/0.63  # Current number of archived clauses   : 2
% 0.38/0.63  # Clause-clause subsumption calls (NU) : 0
% 0.38/0.63  # Rec. Clause-clause subsumption calls : 0
% 0.38/0.63  # Non-unit clause-clause subsumptions  : 0
% 0.38/0.63  # Unit Clause-clause subsumption calls : 0
% 0.38/0.63  # Rewrite failures with RHS unbound    : 0
% 0.38/0.63  # BW rewrite match attempts            : 2
% 0.38/0.63  # BW rewrite match successes           : 2
% 0.38/0.63  # Condensation attempts                : 0
% 0.38/0.63  # Condensation successes               : 0
% 0.38/0.63  # Termbank termtop insertions          : 14918
% 0.38/0.63  # Search garbage collected termcells   : 6377
% 0.38/0.63  
% 0.38/0.63  # -------------------------------------------------
% 0.38/0.63  # User time                : 0.012 s
% 0.38/0.63  # System time              : 0.008 s
% 0.38/0.63  # Total time               : 0.020 s
% 0.38/0.63  # Maximum resident set size: 3428 pages
% 0.38/0.63  
% 0.38/0.63  # -------------------------------------------------
% 0.38/0.63  # User time                : 0.026 s
% 0.38/0.63  # System time              : 0.012 s
% 0.38/0.63  # Total time               : 0.038 s
% 0.38/0.63  # Maximum resident set size: 2752 pages
% 0.38/0.63  % E---3.1 exiting
% 0.38/0.63  % E exiting
%------------------------------------------------------------------------------