TSTP Solution File: ITP073^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP073^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 22:16:11 EDT 2024
% Result : Theorem 0.36s 0.68s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 32 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 73 ( 6 ~; 5 |; 0 &; 56 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 6 ^ 14 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
hF_Mirabelle_hf: $tType ).
thf(decl_42,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(decl_49,type,
ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(decl_72,type,
a: hF_Mirabelle_hf ).
thf(decl_73,type,
b: hF_Mirabelle_hf ).
thf(decl_219,type,
esk146_2: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(fact_6_less__eq__hf__def,axiom,
( ord_le976219883lle_hf
= ( ^ [X21: hF_Mirabelle_hf,X22: hF_Mirabelle_hf] :
! [X8: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X8 @ X21 )
=> ( hF_Mirabelle_hmem @ X8 @ X22 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_less__eq__hf__def) ).
thf(conj_0,hypothesis,
! [X689: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X689 @ a )
=> ( hF_Mirabelle_hmem @ X689 @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(conj_1,conjecture,
ord_le976219883lle_hf @ a @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(c_0_3,plain,
( ord_le976219883lle_hf
= ( ^ [Z0: hF_Mirabelle_hf,Z1: hF_Mirabelle_hf] :
! [X8: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X8 @ Z0 )
=> ( hF_Mirabelle_hmem @ X8 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_6_less__eq__hf__def]) ).
thf(c_0_4,plain,
( ord_le976219883lle_hf
= ( ^ [Z0: hF_Mirabelle_hf,Z1: hF_Mirabelle_hf] :
! [X2154: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2154 @ Z0 )
=> ( hF_Mirabelle_hmem @ X2154 @ Z1 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,hypothesis,
! [X1356: hF_Mirabelle_hf] :
( ~ ( hF_Mirabelle_hmem @ X1356 @ a )
| ( hF_Mirabelle_hmem @ X1356 @ b ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
thf(c_0_6,plain,
! [X2064: hF_Mirabelle_hf,X2065: hF_Mirabelle_hf] :
( ! [X2155: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2155 @ X2064 )
=> ( hF_Mirabelle_hmem @ X2155 @ X2065 ) )
<=> ( ord_le976219883lle_hf @ X2064 @ X2065 ) ),
inference(arg_cong,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
thf(c_0_8,hypothesis,
! [X1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X1 @ b )
| ~ ( hF_Mirabelle_hmem @ X1 @ a ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( esk146_2 @ X1 @ X2 ) @ X1 )
| ( ord_le976219883lle_hf @ X1 @ X2 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( ord_le976219883lle_hf @ X1 @ X2 )
| ~ ( hF_Mirabelle_hmem @ ( esk146_2 @ X1 @ X2 ) @ X2 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_6]) ).
thf(c_0_12,hypothesis,
! [X1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( esk146_2 @ a @ X1 ) @ b )
| ( ord_le976219883lle_hf @ a @ X1 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_13,negated_conjecture,
~ ( ord_le976219883lle_hf @ a @ b ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ITP073^1 : TPTP v8.2.0. Released v7.5.0.
% 0.04/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 17:36:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.51 Running higher-order theorem proving
% 0.21/0.51 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
% 0.36/0.68 # Version: 3.1.0-ho
% 0.36/0.68 # Preprocessing class: HSLSSMSSSSMCHFA.
% 0.36/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.68 # Starting sh3 with 1500s (5) cores
% 0.36/0.68 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.68 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.68 # Starting new_bool_2 with 300s (1) cores
% 0.36/0.68 # new_bool_3 with pid 19923 completed with status 0
% 0.36/0.68 # Result found by new_bool_3
% 0.36/0.68 # Preprocessing class: HSLSSMSSSSMCHFA.
% 0.36/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.68 # Starting sh3 with 1500s (5) cores
% 0.36/0.68 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.68 # Search class: HGHSM-FSLM33-DHFFFSBN
% 0.36/0.68 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.68 # Starting new_ho_10 with 163s (1) cores
% 0.36/0.68 # new_ho_10 with pid 19927 completed with status 0
% 0.36/0.68 # Result found by new_ho_10
% 0.36/0.68 # Preprocessing class: HSLSSMSSSSMCHFA.
% 0.36/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.68 # Starting sh3 with 1500s (5) cores
% 0.36/0.68 # Starting new_bool_3 with 300s (1) cores
% 0.36/0.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.68 # Search class: HGHSM-FSLM33-DHFFFSBN
% 0.36/0.68 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.68 # Starting new_ho_10 with 163s (1) cores
% 0.36/0.68 # Preprocessing time : 0.012 s
% 0.36/0.68 # Presaturation interreduction done
% 0.36/0.68
% 0.36/0.68 # Proof found!
% 0.36/0.68 # SZS status Theorem
% 0.36/0.68 # SZS output start CNFRefutation
% See solution above
% 0.36/0.68 # Parsed axioms : 406
% 0.36/0.68 # Removed by relevancy pruning/SinE : 195
% 0.36/0.68 # Initial clauses : 508
% 0.36/0.68 # Removed in clause preprocessing : 11
% 0.36/0.68 # Initial clauses in saturation : 497
% 0.36/0.68 # Processed clauses : 842
% 0.36/0.68 # ...of these trivial : 13
% 0.36/0.68 # ...subsumed : 236
% 0.36/0.68 # ...remaining for further processing : 593
% 0.36/0.68 # Other redundant clauses eliminated : 91
% 0.36/0.68 # Clauses deleted for lack of memory : 0
% 0.36/0.68 # Backward-subsumed : 0
% 0.36/0.68 # Backward-rewritten : 0
% 0.36/0.68 # Generated clauses : 681
% 0.36/0.68 # ...of the previous two non-redundant : 559
% 0.36/0.68 # ...aggressively subsumed : 0
% 0.36/0.68 # Contextual simplify-reflections : 3
% 0.36/0.68 # Paramodulations : 435
% 0.36/0.68 # Factorizations : 6
% 0.36/0.68 # NegExts : 0
% 0.36/0.68 # Equation resolutions : 91
% 0.36/0.68 # Disequality decompositions : 0
% 0.36/0.68 # Total rewrite steps : 80
% 0.36/0.68 # ...of those cached : 49
% 0.36/0.68 # Propositional unsat checks : 0
% 0.36/0.68 # Propositional check models : 0
% 0.36/0.68 # Propositional check unsatisfiable : 0
% 0.36/0.68 # Propositional clauses : 0
% 0.36/0.68 # Propositional clauses after purity: 0
% 0.36/0.68 # Propositional unsat core size : 0
% 0.36/0.68 # Propositional preprocessing time : 0.000
% 0.36/0.68 # Propositional encoding time : 0.000
% 0.36/0.68 # Propositional solver time : 0.000
% 0.36/0.68 # Success case prop preproc time : 0.000
% 0.36/0.68 # Success case prop encoding time : 0.000
% 0.36/0.68 # Success case prop solver time : 0.000
% 0.36/0.68 # Current number of processed clauses : 163
% 0.36/0.68 # Positive orientable unit clauses : 58
% 0.36/0.68 # Positive unorientable unit clauses: 0
% 0.36/0.68 # Negative unit clauses : 37
% 0.36/0.68 # Non-unit-clauses : 68
% 0.36/0.68 # Current number of unprocessed clauses: 554
% 0.36/0.68 # ...number of literals in the above : 2238
% 0.36/0.68 # Current number of archived formulas : 0
% 0.36/0.68 # Current number of archived clauses : 374
% 0.36/0.68 # Clause-clause subsumption calls (NU) : 16048
% 0.36/0.68 # Rec. Clause-clause subsumption calls : 4161
% 0.36/0.68 # Non-unit clause-clause subsumptions : 209
% 0.36/0.68 # Unit Clause-clause subsumption calls : 1129
% 0.36/0.68 # Rewrite failures with RHS unbound : 0
% 0.36/0.68 # BW rewrite match attempts : 74
% 0.36/0.68 # BW rewrite match successes : 6
% 0.36/0.68 # Condensation attempts : 842
% 0.36/0.68 # Condensation successes : 12
% 0.36/0.68 # Termbank termtop insertions : 88086
% 0.36/0.68 # Search garbage collected termcells : 12993
% 0.36/0.68
% 0.36/0.68 # -------------------------------------------------
% 0.36/0.68 # User time : 0.128 s
% 0.36/0.68 # System time : 0.010 s
% 0.36/0.68 # Total time : 0.138 s
% 0.36/0.68 # Maximum resident set size: 4400 pages
% 0.36/0.68
% 0.36/0.68 # -------------------------------------------------
% 0.36/0.68 # User time : 0.143 s
% 0.36/0.68 # System time : 0.013 s
% 0.36/0.68 # Total time : 0.156 s
% 0.36/0.68 # Maximum resident set size: 2716 pages
% 0.36/0.68 % E---3.1 exiting
% 0.36/0.68 % E exiting
%------------------------------------------------------------------------------