TSTP Solution File: ITP049^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP049^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 22:16:04 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 20 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 46 ( 5 ~; 2 |; 0 &; 38 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
product_prod_nat_nat: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_sort3,type,
set_Pr1986765409at_nat: $tType ).
thf(decl_sort4,type,
nat: $tType ).
thf(decl_23,type,
edmond475474835dges_a: ( product_prod_nat_nat > a ) > nat > nat > set_Pr1986765409at_nat ).
thf(decl_25,type,
finite772653738at_nat: set_Pr1986765409at_nat > $o ).
thf(decl_32,type,
e_a: ( product_prod_nat_nat > a ) > set_Pr1986765409at_nat ).
thf(decl_84,type,
c: product_prod_nat_nat > a ).
thf(decl_85,type,
s: nat ).
thf(decl_86,type,
t: nat ).
thf(conj_0,conjecture,
finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(fact_1__092_060open_062finite_AE_A_092_060Longrightarrow_062_Afinite_AspEdges_092_060close_062,axiom,
( ( finite772653738at_nat @ ( e_a @ c ) )
=> ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062finite_AE_A_092_060Longrightarrow_062_Afinite_AspEdges_092_060close_062) ).
thf(fact_3_finite__E,axiom,
finite772653738at_nat @ ( e_a @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_finite__E) ).
thf(c_0_3,negated_conjecture,
~ ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_4,plain,
( ~ ( finite772653738at_nat @ ( e_a @ c ) )
| ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1__092_060open_062finite_AE_A_092_060Longrightarrow_062_Afinite_AspEdges_092_060close_062])]) ).
thf(c_0_5,negated_conjecture,
~ ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
( ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) )
| ~ ( finite772653738at_nat @ ( e_a @ c ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
finite772653738at_nat @ ( e_a @ c ),
inference(split_conjunct,[status(thm)],[fact_3_finite__E]) ).
thf(c_0_8,negated_conjecture,
~ ( finite772653738at_nat @ ( edmond475474835dges_a @ c @ s @ t ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP049^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 17:11:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running higher-order theorem proving
% 0.20/0.49 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
% 0.20/0.53 # Version: 3.1.0-ho
% 0.20/0.53 # Preprocessing class: HSLSSMSSSSLNHSA.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting pre_casc_6 with 1200s (4) cores
% 0.20/0.53 # Starting sh4 with 600s (2) cores
% 0.20/0.53 # Starting pre_casc_4 with 300s (1) cores
% 0.20/0.53 # Starting full_lambda_7 with 300s (1) cores
% 0.20/0.53 # pre_casc_4 with pid 20149 completed with status 0
% 0.20/0.53 # Result found by pre_casc_4
% 0.20/0.53 # Preprocessing class: HSLSSMSSSSLNHSA.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting pre_casc_6 with 1200s (4) cores
% 0.20/0.53 # Starting sh4 with 600s (2) cores
% 0.20/0.53 # Starting pre_casc_4 with 300s (1) cores
% 0.20/0.53 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.20/0.53 # Search class: HGUSM-FFMS32-DHSFFSBN
% 0.20/0.53 # partial match(3): HGUSM-FFMF32-SHSFMSBN
% 0.20/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53 # Starting new_ho_10 with 55s (1) cores
% 0.20/0.53 # new_ho_10 with pid 20151 completed with status 0
% 0.20/0.53 # Result found by new_ho_10
% 0.20/0.53 # Preprocessing class: HSLSSMSSSSLNHSA.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting pre_casc_6 with 1200s (4) cores
% 0.20/0.53 # Starting sh4 with 600s (2) cores
% 0.20/0.53 # Starting pre_casc_4 with 300s (1) cores
% 0.20/0.53 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.20/0.53 # Search class: HGUSM-FFMS32-DHSFFSBN
% 0.20/0.53 # partial match(3): HGUSM-FFMF32-SHSFMSBN
% 0.20/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53 # Starting new_ho_10 with 55s (1) cores
% 0.20/0.53 # Preprocessing time : 0.006 s
% 0.20/0.53 # Presaturation interreduction done
% 0.20/0.53
% 0.20/0.53 # Proof found!
% 0.20/0.53 # SZS status Theorem
% 0.20/0.53 # SZS output start CNFRefutation
% See solution above
% 0.20/0.53 # Parsed axioms : 435
% 0.20/0.53 # Removed by relevancy pruning/SinE : 367
% 0.20/0.53 # Initial clauses : 105
% 0.20/0.53 # Removed in clause preprocessing : 11
% 0.20/0.53 # Initial clauses in saturation : 94
% 0.20/0.53 # Processed clauses : 3
% 0.20/0.53 # ...of these trivial : 0
% 0.20/0.53 # ...subsumed : 0
% 0.20/0.53 # ...remaining for further processing : 2
% 0.20/0.53 # Other redundant clauses eliminated : 0
% 0.20/0.53 # Clauses deleted for lack of memory : 0
% 0.20/0.53 # Backward-subsumed : 0
% 0.20/0.53 # Backward-rewritten : 0
% 0.20/0.53 # Generated clauses : 0
% 0.20/0.53 # ...of the previous two non-redundant : 0
% 0.20/0.53 # ...aggressively subsumed : 0
% 0.20/0.53 # Contextual simplify-reflections : 0
% 0.20/0.53 # Paramodulations : 0
% 0.20/0.53 # Factorizations : 0
% 0.20/0.53 # NegExts : 0
% 0.20/0.53 # Equation resolutions : 0
% 0.20/0.53 # Disequality decompositions : 0
% 0.20/0.53 # Total rewrite steps : 1
% 0.20/0.53 # ...of those cached : 0
% 0.20/0.53 # Propositional unsat checks : 0
% 0.20/0.53 # Propositional check models : 0
% 0.20/0.53 # Propositional check unsatisfiable : 0
% 0.20/0.53 # Propositional clauses : 0
% 0.20/0.53 # Propositional clauses after purity: 0
% 0.20/0.53 # Propositional unsat core size : 0
% 0.20/0.53 # Propositional preprocessing time : 0.000
% 0.20/0.53 # Propositional encoding time : 0.000
% 0.20/0.53 # Propositional solver time : 0.000
% 0.20/0.53 # Success case prop preproc time : 0.000
% 0.20/0.53 # Success case prop encoding time : 0.000
% 0.20/0.53 # Success case prop solver time : 0.000
% 0.20/0.53 # Current number of processed clauses : 2
% 0.20/0.53 # Positive orientable unit clauses : 1
% 0.20/0.53 # Positive unorientable unit clauses: 0
% 0.20/0.53 # Negative unit clauses : 1
% 0.20/0.53 # Non-unit-clauses : 0
% 0.20/0.53 # Current number of unprocessed clauses: 91
% 0.20/0.53 # ...number of literals in the above : 240
% 0.20/0.53 # Current number of archived formulas : 0
% 0.20/0.53 # Current number of archived clauses : 0
% 0.20/0.53 # Clause-clause subsumption calls (NU) : 0
% 0.20/0.53 # Rec. Clause-clause subsumption calls : 0
% 0.20/0.53 # Non-unit clause-clause subsumptions : 0
% 0.20/0.53 # Unit Clause-clause subsumption calls : 0
% 0.20/0.53 # Rewrite failures with RHS unbound : 0
% 0.20/0.53 # BW rewrite match attempts : 0
% 0.20/0.53 # BW rewrite match successes : 0
% 0.20/0.53 # Condensation attempts : 3
% 0.20/0.53 # Condensation successes : 0
% 0.20/0.53 # Termbank termtop insertions : 14755
% 0.20/0.53 # Search garbage collected termcells : 6503
% 0.20/0.53
% 0.20/0.53 # -------------------------------------------------
% 0.20/0.53 # User time : 0.014 s
% 0.20/0.53 # System time : 0.005 s
% 0.20/0.53 # Total time : 0.019 s
% 0.20/0.53 # Maximum resident set size: 3284 pages
% 0.20/0.53
% 0.20/0.53 # -------------------------------------------------
% 0.20/0.53 # User time : 0.030 s
% 0.20/0.53 # System time : 0.008 s
% 0.20/0.53 # Total time : 0.038 s
% 0.20/0.53 # Maximum resident set size: 2812 pages
% 0.20/0.53 % E---3.1 exiting
% 0.43/0.53 % E exiting
%------------------------------------------------------------------------------