TSTP Solution File: ITP173^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP173^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 22:16:40 EDT 2024

% Result   : Theorem 0.48s 0.55s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :   13 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (   5   ~;   2   |;   0   &;  12   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    3 (   0   ^   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    heap_S1465075775_j_k_l: $tType ).

thf(decl_82,type,
    type_w697503069_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(decl_162,type,
    type_w92696601_j_k_l: heap_S1465075775_j_k_l > $o ).

thf(decl_180,type,
    h: heap_S1465075775_j_k_l ).

thf(conj_3,conjecture,
    type_w697503069_j_k_l @ h,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).

thf(fact_1_ShadowRootClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t,axiom,
    ! [X1: heap_S1465075775_j_k_l] :
      ( ( type_w92696601_j_k_l @ X1 )
     => ( type_w697503069_j_k_l @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_ShadowRootClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t) ).

thf(conj_2,hypothesis,
    type_w92696601_j_k_l @ h,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

thf(c_0_3,negated_conjecture,
    ~ ( type_w697503069_j_k_l @ h ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_3])]) ).

thf(c_0_4,negated_conjecture,
    ~ ( type_w697503069_j_k_l @ h ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

thf(c_0_5,plain,
    ! [X1690: heap_S1465075775_j_k_l] :
      ( ~ ( type_w92696601_j_k_l @ X1690 )
      | ( type_w697503069_j_k_l @ X1690 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_ShadowRootClass_Otype__wf_092_060_094sub_062E_092_060_094sub_062l_092_060_094sub_062e_092_060_094sub_062m_092_060_094sub_062e_092_060_094sub_062n_092_060_094sub_062t])])]) ).

thf(c_0_6,negated_conjecture,
    ~ ( type_w697503069_j_k_l @ h ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,plain,
    ! [X1: heap_S1465075775_j_k_l] :
      ( ( type_w697503069_j_k_l @ X1 )
      | ~ ( type_w92696601_j_k_l @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,hypothesis,
    type_w92696601_j_k_l @ h,
    inference(split_conjunct,[status(thm)],[conj_2]) ).

thf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem    : ITP173^1 : TPTP v8.2.0. Released v7.5.0.
% 0.04/0.15  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 18:45:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.47  Running higher-order theorem proving
% 0.21/0.47  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/benchmark/theBenchmark.p
% 0.48/0.55  # Version: 3.1.0-ho
% 0.48/0.55  # Preprocessing class: HSLMSMSMSSLNHSA.
% 0.48/0.55  # Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.55  # Starting new_bool_8 with 600s (2) cores
% 0.48/0.55  # Starting new_ho_3 with 300s (1) cores
% 0.48/0.55  # Starting additional_ho_3 with 300s (1) cores
% 0.48/0.55  # Starting full_lambda_10 with 300s (1) cores
% 0.48/0.55  # Starting ehoh_best with 300s (1) cores
% 0.48/0.55  # Starting sh2lt with 300s (1) cores
% 0.48/0.55  # Starting full_lambda_4 with 300s (1) cores
% 0.48/0.55  # new_bool_8 with pid 3770 completed with status 0
% 0.48/0.55  # Result found by new_bool_8
% 0.48/0.55  # Preprocessing class: HSLMSMSMSSLNHSA.
% 0.48/0.55  # Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.55  # Starting new_bool_8 with 600s (2) cores
% 0.48/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.48/0.55  # Search class: HGUSM-FFLS33-DHSFFSNN
% 0.48/0.55  # partial match(4): HGUSM-FSLM32-DHSFFSBN
% 0.48/0.55  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.48/0.55  # Starting new_ho_10 with 325s (1) cores
% 0.48/0.55  # Starting new_bool_8 with 61s (1) cores
% 0.48/0.55  # new_ho_10 with pid 3777 completed with status 0
% 0.48/0.55  # Result found by new_ho_10
% 0.48/0.55  # Preprocessing class: HSLMSMSMSSLNHSA.
% 0.48/0.55  # Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.48/0.55  # Starting new_bool_8 with 600s (2) cores
% 0.48/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.48/0.55  # Search class: HGUSM-FFLS33-DHSFFSNN
% 0.48/0.55  # partial match(4): HGUSM-FSLM32-DHSFFSBN
% 0.48/0.55  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.48/0.55  # Starting new_ho_10 with 325s (1) cores
% 0.48/0.55  # Preprocessing time       : 0.004 s
% 0.48/0.55  # Presaturation interreduction done
% 0.48/0.55  
% 0.48/0.55  # Proof found!
% 0.48/0.55  # SZS status Theorem
% 0.48/0.55  # SZS output start CNFRefutation
% See solution above
% 0.48/0.55  # Parsed axioms                        : 555
% 0.48/0.55  # Removed by relevancy pruning/SinE    : 439
% 0.48/0.55  # Initial clauses                      : 142
% 0.48/0.55  # Removed in clause preprocessing      : 6
% 0.48/0.55  # Initial clauses in saturation        : 136
% 0.48/0.55  # Processed clauses                    : 147
% 0.48/0.55  # ...of these trivial                  : 1
% 0.48/0.55  # ...subsumed                          : 3
% 0.48/0.55  # ...remaining for further processing  : 143
% 0.48/0.55  # Other redundant clauses eliminated   : 1
% 0.48/0.55  # Clauses deleted for lack of memory   : 0
% 0.48/0.55  # Backward-subsumed                    : 0
% 0.48/0.55  # Backward-rewritten                   : 0
% 0.48/0.55  # Generated clauses                    : 4
% 0.48/0.55  # ...of the previous two non-redundant : 2
% 0.48/0.55  # ...aggressively subsumed             : 0
% 0.48/0.55  # Contextual simplify-reflections      : 0
% 0.48/0.55  # Paramodulations                      : 3
% 0.48/0.55  # Factorizations                       : 0
% 0.48/0.55  # NegExts                              : 0
% 0.48/0.55  # Equation resolutions                 : 1
% 0.48/0.55  # Disequality decompositions           : 0
% 0.48/0.55  # Total rewrite steps                  : 3
% 0.48/0.55  # ...of those cached                   : 1
% 0.48/0.55  # Propositional unsat checks           : 0
% 0.48/0.55  #    Propositional check models        : 0
% 0.48/0.55  #    Propositional check unsatisfiable : 0
% 0.48/0.55  #    Propositional clauses             : 0
% 0.48/0.55  #    Propositional clauses after purity: 0
% 0.48/0.55  #    Propositional unsat core size     : 0
% 0.48/0.55  #    Propositional preprocessing time  : 0.000
% 0.48/0.55  #    Propositional encoding time       : 0.000
% 0.48/0.55  #    Propositional solver time         : 0.000
% 0.48/0.55  #    Success case prop preproc time    : 0.000
% 0.48/0.55  #    Success case prop encoding time   : 0.000
% 0.48/0.55  #    Success case prop solver time     : 0.000
% 0.48/0.55  # Current number of processed clauses  : 11
% 0.48/0.55  #    Positive orientable unit clauses  : 5
% 0.48/0.55  #    Positive unorientable unit clauses: 0
% 0.48/0.55  #    Negative unit clauses             : 3
% 0.48/0.55  #    Non-unit-clauses                  : 3
% 0.48/0.55  # Current number of unprocessed clauses: 122
% 0.48/0.55  # ...number of literals in the above   : 326
% 0.48/0.55  # Current number of archived formulas  : 0
% 0.48/0.55  # Current number of archived clauses   : 134
% 0.48/0.55  # Clause-clause subsumption calls (NU) : 2592
% 0.48/0.55  # Rec. Clause-clause subsumption calls : 1835
% 0.48/0.55  # Non-unit clause-clause subsumptions  : 2
% 0.48/0.55  # Unit Clause-clause subsumption calls : 37
% 0.48/0.55  # Rewrite failures with RHS unbound    : 0
% 0.48/0.55  # BW rewrite match attempts            : 0
% 0.48/0.55  # BW rewrite match successes           : 0
% 0.48/0.55  # Condensation attempts                : 147
% 0.48/0.55  # Condensation successes               : 0
% 0.48/0.55  # Termbank termtop insertions          : 25926
% 0.48/0.55  # Search garbage collected termcells   : 9776
% 0.48/0.55  
% 0.48/0.55  # -------------------------------------------------
% 0.48/0.55  # User time                : 0.027 s
% 0.48/0.55  # System time              : 0.011 s
% 0.48/0.55  # Total time               : 0.038 s
% 0.48/0.55  # Maximum resident set size: 4640 pages
% 0.48/0.55  
% 0.48/0.55  # -------------------------------------------------
% 0.48/0.55  # User time                : 0.074 s
% 0.48/0.55  # System time              : 0.016 s
% 0.48/0.55  # Total time               : 0.090 s
% 0.48/0.55  # Maximum resident set size: 3264 pages
% 0.48/0.55  % E---3.1 exiting
% 0.48/0.55  % E exiting
%------------------------------------------------------------------------------