TSTP Solution File: ITP177^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP177^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 22:16:41 EDT 2024
% Result : Theorem 0.20s 0.56s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 18 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 49 ( 5 ~; 2 |; 0 &; 41 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 ^ 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_sort2,type,
set_b: $tType ).
thf(decl_sort3,type,
labele1159362096nt_a_b: $tType ).
thf(decl_54,type,
labele1424214014nt_a_b: labele1159362096nt_a_b > set_b ).
thf(decl_165,type,
member_b: b > set_b > $o ).
thf(decl_166,type,
g: labele1159362096nt_a_b ).
thf(decl_169,type,
f: b > b ).
thf(decl_171,type,
x: b ).
thf(conj_0,conjecture,
member_b @ x @ ( labele1424214014nt_a_b @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(fact_0__092_060open_062_092_060And_062xa_O_A_092_060lbrakk_062f_Axa_A_092_060in_062_Avertices_AG_059_Axa_A_092_060notin_062_Avertices_AG_092_060rbrakk_062_A_092_060Longrightarrow_062_AFalse_092_060close_062,axiom,
! [X1: b] :
( ( member_b @ ( f @ X1 ) @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ X1 @ ( labele1424214014nt_a_b @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062xa_O_A_092_060lbrakk_062f_Axa_A_092_060in_062_Avertices_AG_059_Axa_A_092_060notin_062_Avertices_AG_092_060rbrakk_062_A_092_060Longrightarrow_062_AFalse_092_060close_062) ).
thf(fact_2_fv_I1_J,axiom,
member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_fv_I1_J) ).
thf(c_0_3,negated_conjecture,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_4,plain,
! [X1509: b] :
( ~ ( member_b @ ( f @ X1509 ) @ ( labele1424214014nt_a_b @ g ) )
| ( member_b @ X1509 @ ( labele1424214014nt_a_b @ g ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__092_060open_062_092_060And_062xa_O_A_092_060lbrakk_062f_Axa_A_092_060in_062_Avertices_AG_059_Axa_A_092_060notin_062_Avertices_AG_092_060rbrakk_062_A_092_060Longrightarrow_062_AFalse_092_060close_062])])]) ).
thf(c_0_5,negated_conjecture,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
! [X1: b] :
( ( member_b @ X1 @ ( labele1424214014nt_a_b @ g ) )
| ~ ( member_b @ ( f @ X1 ) @ ( labele1424214014nt_a_b @ g ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
inference(split_conjunct,[status(thm)],[fact_2_fv_I1_J]) ).
thf(c_0_8,negated_conjecture,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP177^1 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 18:29:08 EDT 2024
% 0.13/0.34 % 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
% 0.20/0.56 # Version: 3.1.0-ho
% 0.20/0.56 # partial match(1): HSLMSMSMSSMNSFA
% 0.20/0.56 # Preprocessing class: HSLMSMSMSSMCSFA.
% 0.20/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.56 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.56 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.20/0.56 # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.56 # Starting ehoh_best_sine with 300s (1) cores
% 0.20/0.56 # full_lambda_6 with pid 13348 completed with status 0
% 0.20/0.56 # Result found by full_lambda_6
% 0.20/0.56 # partial match(1): HSLMSMSMSSMNSFA
% 0.20/0.56 # Preprocessing class: HSLMSMSMSSMCSFA.
% 0.20/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.56 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.56 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.20/0.56 # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.56 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.20/0.56 # Search class: HGHSM-FSLM31-DSFFFFBN
% 0.20/0.56 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.56 # Starting lpo8_lambda_fix with 109s (1) cores
% 0.20/0.56 # lpo8_lambda_fix with pid 13362 completed with status 0
% 0.20/0.56 # Result found by lpo8_lambda_fix
% 0.20/0.56 # partial match(1): HSLMSMSMSSMNSFA
% 0.20/0.56 # Preprocessing class: HSLMSMSMSSMCSFA.
% 0.20/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.56 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.56 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.20/0.56 # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.56 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.20/0.56 # Search class: HGHSM-FSLM31-DSFFFFBN
% 0.20/0.56 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.56 # Starting lpo8_lambda_fix with 109s (1) cores
% 0.20/0.56 # Preprocessing time : 0.006 s
% 0.20/0.56 # Presaturation interreduction done
% 0.20/0.56
% 0.20/0.56 # Proof found!
% 0.20/0.56 # SZS status Theorem
% 0.20/0.56 # SZS output start CNFRefutation
% See solution above
% 0.20/0.56 # Parsed axioms : 563
% 0.20/0.56 # Removed by relevancy pruning/SinE : 349
% 0.20/0.56 # Initial clauses : 332
% 0.20/0.56 # Removed in clause preprocessing : 15
% 0.20/0.56 # Initial clauses in saturation : 317
% 0.20/0.56 # Processed clauses : 355
% 0.20/0.56 # ...of these trivial : 5
% 0.20/0.56 # ...subsumed : 60
% 0.20/0.56 # ...remaining for further processing : 290
% 0.20/0.56 # Other redundant clauses eliminated : 43
% 0.20/0.56 # Clauses deleted for lack of memory : 0
% 0.20/0.56 # Backward-subsumed : 1
% 0.20/0.56 # Backward-rewritten : 4
% 0.20/0.56 # Generated clauses : 36
% 0.20/0.56 # ...of the previous two non-redundant : 28
% 0.20/0.56 # ...aggressively subsumed : 0
% 0.20/0.56 # Contextual simplify-reflections : 10
% 0.20/0.56 # Paramodulations : 2
% 0.20/0.56 # Factorizations : 0
% 0.20/0.56 # NegExts : 0
% 0.20/0.56 # Equation resolutions : 43
% 0.20/0.56 # Disequality decompositions : 0
% 0.20/0.56 # Total rewrite steps : 35
% 0.20/0.56 # ...of those cached : 19
% 0.20/0.56 # Propositional unsat checks : 0
% 0.20/0.56 # Propositional check models : 0
% 0.20/0.56 # Propositional check unsatisfiable : 0
% 0.20/0.56 # Propositional clauses : 0
% 0.20/0.56 # Propositional clauses after purity: 0
% 0.20/0.56 # Propositional unsat core size : 0
% 0.20/0.56 # Propositional preprocessing time : 0.000
% 0.20/0.56 # Propositional encoding time : 0.000
% 0.20/0.56 # Propositional solver time : 0.000
% 0.20/0.56 # Success case prop preproc time : 0.000
% 0.20/0.56 # Success case prop encoding time : 0.000
% 0.20/0.56 # Success case prop solver time : 0.000
% 0.20/0.56 # Current number of processed clauses : 11
% 0.20/0.56 # Positive orientable unit clauses : 5
% 0.20/0.56 # Positive unorientable unit clauses: 0
% 0.20/0.56 # Negative unit clauses : 5
% 0.20/0.56 # Non-unit-clauses : 1
% 0.20/0.56 # Current number of unprocessed clauses: 229
% 0.20/0.56 # ...number of literals in the above : 527
% 0.20/0.56 # Current number of archived formulas : 0
% 0.20/0.56 # Current number of archived clauses : 245
% 0.20/0.56 # Clause-clause subsumption calls (NU) : 8519
% 0.20/0.56 # Rec. Clause-clause subsumption calls : 4989
% 0.20/0.56 # Non-unit clause-clause subsumptions : 56
% 0.20/0.56 # Unit Clause-clause subsumption calls : 36
% 0.20/0.56 # Rewrite failures with RHS unbound : 0
% 0.20/0.56 # BW rewrite match attempts : 7
% 0.20/0.56 # BW rewrite match successes : 6
% 0.20/0.56 # Condensation attempts : 355
% 0.20/0.56 # Condensation successes : 0
% 0.20/0.56 # Termbank termtop insertions : 32187
% 0.20/0.56 # Search garbage collected termcells : 9163
% 0.20/0.56
% 0.20/0.56 # -------------------------------------------------
% 0.20/0.56 # User time : 0.041 s
% 0.20/0.56 # System time : 0.007 s
% 0.20/0.56 # Total time : 0.048 s
% 0.20/0.56 # Maximum resident set size: 4280 pages
% 0.20/0.56
% 0.20/0.56 # -------------------------------------------------
% 0.20/0.56 # User time : 0.052 s
% 0.20/0.56 # System time : 0.009 s
% 0.20/0.56 # Total time : 0.061 s
% 0.20/0.56 # Maximum resident set size: 2900 pages
% 0.20/0.56 % E---3.1 exiting
% 0.20/0.56 % E exiting
%------------------------------------------------------------------------------