TSTP Solution File: ITP034^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP034^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 22:15:59 EDT 2024

% Result   : Theorem 0.19s 0.55s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   20 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :    9 (   2 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   65 (   3   ~;   0   |;   0   &;  62   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    binary1439146945Tree_a: $tType ).

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

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

thf(decl_22,type,
    binary717961607le_T_a: binary1439146945Tree_a > a > binary1439146945Tree_a > binary1439146945Tree_a ).

thf(decl_27,type,
    binary339557810e_rm_a: ( a > int ) > binary1439146945Tree_a > a ).

thf(decl_40,type,
    ord_less_int: int > int > $o ).

thf(decl_49,type,
    h: a > int ).

thf(decl_50,type,
    l: a ).

thf(decl_51,type,
    t1: binary1439146945Tree_a ).

thf(decl_52,type,
    t2: binary1439146945Tree_a ).

thf(decl_53,type,
    x: a ).

thf(conj_0,conjecture,
    ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(fact_1_rm__res,axiom,
    ( ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) )
    = ( binary339557810e_rm_a @ h @ t2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_rm__res) ).

thf(fact_0_hLess,axiom,
    ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ t2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_hLess) ).

thf(c_0_3,negated_conjecture,
    ~ ( ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

thf(c_0_4,negated_conjecture,
    ~ ( ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

thf(c_0_5,negated_conjecture,
    ~ ( ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_6,plain,
    ( ( binary339557810e_rm_a @ h @ ( binary717961607le_T_a @ t1 @ x @ t2 ) )
    = ( binary339557810e_rm_a @ h @ t2 ) ),
    inference(split_conjunct,[status(thm)],[fact_1_rm__res]) ).

thf(c_0_7,plain,
    ord_less_int @ ( h @ l ) @ ( h @ ( binary339557810e_rm_a @ h @ t2 ) ),
    inference(split_conjunct,[status(thm)],[fact_0_hLess]) ).

thf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : ITP034^1 : TPTP v8.2.0. Released v7.5.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n016.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   : Sat May 18 15:36:37 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  Running higher-order theorem proving
% 0.19/0.48  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
% 0.19/0.55  # Version: 3.1.0-ho
% 0.19/0.55  # Preprocessing class: HSLSSMSSSSLNHSA.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting pre_casc_6 with 1200s (4) cores
% 0.19/0.55  # Starting sh4 with 600s (2) cores
% 0.19/0.55  # Starting pre_casc_4 with 300s (1) cores
% 0.19/0.55  # Starting full_lambda_7 with 300s (1) cores
% 0.19/0.55  # full_lambda_7 with pid 23138 completed with status 0
% 0.19/0.55  # Result found by full_lambda_7
% 0.19/0.55  # Preprocessing class: HSLSSMSSSSLNHSA.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting pre_casc_6 with 1200s (4) cores
% 0.19/0.55  # Starting sh4 with 600s (2) cores
% 0.19/0.55  # Starting pre_casc_4 with 300s (1) cores
% 0.19/0.55  # Starting full_lambda_7 with 300s (1) cores
% 0.19/0.55  # SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.19/0.55  # Search class: HGHSM-FSLM32-DHSFFSBN
% 0.19/0.55  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.55  # Starting full_lambda_3 with 139s (1) cores
% 0.19/0.55  # full_lambda_3 with pid 23139 completed with status 0
% 0.19/0.55  # Result found by full_lambda_3
% 0.19/0.55  # Preprocessing class: HSLSSMSSSSLNHSA.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting pre_casc_6 with 1200s (4) cores
% 0.19/0.55  # Starting sh4 with 600s (2) cores
% 0.19/0.55  # Starting pre_casc_4 with 300s (1) cores
% 0.19/0.55  # Starting full_lambda_7 with 300s (1) cores
% 0.19/0.55  # SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.19/0.55  # Search class: HGHSM-FSLM32-DHSFFSBN
% 0.19/0.55  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.55  # Starting full_lambda_3 with 139s (1) cores
% 0.19/0.55  # Preprocessing time       : 0.015 s
% 0.19/0.55  
% 0.19/0.55  # Proof found!
% 0.19/0.55  # SZS status Theorem
% 0.19/0.55  # SZS output start CNFRefutation
% See solution above
% 0.19/0.55  # Parsed axioms                        : 389
% 0.19/0.55  # Removed by relevancy pruning/SinE    : 120
% 0.19/0.55  # Initial clauses                      : 546
% 0.19/0.55  # Removed in clause preprocessing      : 5
% 0.19/0.55  # Initial clauses in saturation        : 541
% 0.19/0.55  # Processed clauses                    : 4
% 0.19/0.55  # ...of these trivial                  : 0
% 0.19/0.55  # ...subsumed                          : 0
% 0.19/0.55  # ...remaining for further processing  : 4
% 0.19/0.55  # Other redundant clauses eliminated   : 0
% 0.19/0.55  # Clauses deleted for lack of memory   : 0
% 0.19/0.55  # Backward-subsumed                    : 0
% 0.19/0.55  # Backward-rewritten                   : 0
% 0.19/0.55  # Generated clauses                    : 1
% 0.19/0.55  # ...of the previous two non-redundant : 0
% 0.19/0.55  # ...aggressively subsumed             : 0
% 0.19/0.55  # Contextual simplify-reflections      : 0
% 0.19/0.55  # Paramodulations                      : 1
% 0.19/0.55  # Factorizations                       : 0
% 0.19/0.55  # NegExts                              : 0
% 0.19/0.55  # Equation resolutions                 : 0
% 0.19/0.55  # Disequality decompositions           : 0
% 0.19/0.55  # Total rewrite steps                  : 1
% 0.19/0.55  # ...of those cached                   : 0
% 0.19/0.55  # Propositional unsat checks           : 0
% 0.19/0.55  #    Propositional check models        : 0
% 0.19/0.55  #    Propositional check unsatisfiable : 0
% 0.19/0.55  #    Propositional clauses             : 0
% 0.19/0.55  #    Propositional clauses after purity: 0
% 0.19/0.55  #    Propositional unsat core size     : 0
% 0.19/0.55  #    Propositional preprocessing time  : 0.000
% 0.19/0.55  #    Propositional encoding time       : 0.000
% 0.19/0.55  #    Propositional solver time         : 0.000
% 0.19/0.55  #    Success case prop preproc time    : 0.000
% 0.19/0.55  #    Success case prop encoding time   : 0.000
% 0.19/0.55  #    Success case prop solver time     : 0.000
% 0.19/0.55  # Current number of processed clauses  : 4
% 0.19/0.55  #    Positive orientable unit clauses  : 2
% 0.19/0.55  #    Positive unorientable unit clauses: 0
% 0.19/0.55  #    Negative unit clauses             : 2
% 0.19/0.55  #    Non-unit-clauses                  : 0
% 0.19/0.55  # Current number of unprocessed clauses: 537
% 0.19/0.55  # ...number of literals in the above   : 1945
% 0.19/0.55  # Current number of archived formulas  : 0
% 0.19/0.55  # Current number of archived clauses   : 0
% 0.19/0.55  # Clause-clause subsumption calls (NU) : 0
% 0.19/0.55  # Rec. Clause-clause subsumption calls : 0
% 0.19/0.55  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.55  # Unit Clause-clause subsumption calls : 0
% 0.19/0.55  # Rewrite failures with RHS unbound    : 0
% 0.19/0.55  # BW rewrite match attempts            : 1
% 0.19/0.55  # BW rewrite match successes           : 0
% 0.19/0.55  # Condensation attempts                : 4
% 0.19/0.55  # Condensation successes               : 0
% 0.19/0.55  # Termbank termtop insertions          : 59029
% 0.19/0.55  # Search garbage collected termcells   : 9124
% 0.19/0.55  
% 0.19/0.55  # -------------------------------------------------
% 0.19/0.55  # User time                : 0.041 s
% 0.19/0.55  # System time              : 0.009 s
% 0.19/0.55  # Total time               : 0.050 s
% 0.19/0.55  # Maximum resident set size: 4220 pages
% 0.19/0.55  
% 0.19/0.55  # -------------------------------------------------
% 0.19/0.55  # User time                : 0.052 s
% 0.19/0.55  # System time              : 0.012 s
% 0.19/0.55  # Total time               : 0.064 s
% 0.19/0.55  # Maximum resident set size: 2468 pages
% 0.19/0.55  % E---3.1 exiting
% 0.19/0.56  % E exiting
%------------------------------------------------------------------------------