TSTP Solution File: ITP142^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP142^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 22:16:31 EDT 2024
% Result : Theorem 0.60s 0.56s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 25
% Syntax : Number of formulae : 33 ( 9 unt; 21 typ; 0 def)
% Number of atoms : 24 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 136 ( 10 ~; 7 |; 2 &; 114 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
produc410756839_state: $tType ).
thf(decl_sort2,type,
list_com: $tType ).
thf(decl_sort3,type,
com: $tType ).
thf(decl_sort4,type,
set_Pr1165141447_state: $tType ).
thf(decl_sort5,type,
produc2041926651_state: $tType ).
thf(decl_sort6,type,
state: $tType ).
thf(decl_43,type,
cons_com: com > list_com > list_com ).
thf(decl_50,type,
nil_com: list_com ).
thf(decl_84,type,
pHoare259243666_exec1: set_Pr1165141447_state ).
thf(decl_86,type,
pHoare806997636termis: list_com > state > $o ).
thf(decl_91,type,
exec: state > com > state > $o ).
thf(decl_92,type,
termi: com > state > $o ).
thf(decl_96,type,
produc1204172211_state: list_com > state > produc2041926651_state ).
thf(decl_103,type,
produc1909270103_state: produc2041926651_state > produc2041926651_state > produc410756839_state ).
thf(decl_121,type,
transi1302705790_state: set_Pr1165141447_state > set_Pr1165141447_state ).
thf(decl_136,type,
member1069318160_state: produc410756839_state > set_Pr1165141447_state > $o ).
thf(decl_141,type,
c: com ).
thf(decl_142,type,
c2: com ).
thf(decl_143,type,
cs: list_com ).
thf(decl_144,type,
s: state ).
thf(decl_145,type,
s2: state ).
thf(conj_3,conjecture,
termi @ c2 @ s2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
thf(conj_2,hypothesis,
! [X1090: state,X1091: state] :
( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X1090 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1091 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
=> ( ( termi @ c @ X1090 )
=> ( ( termi @ c2 @ X1091 )
& ! [X1092: state] :
( ( exec @ X1091 @ c2 @ X1092 )
=> ( pHoare806997636termis @ cs @ X1092 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(conj_0,hypothesis,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ s2 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(conj_1,hypothesis,
termi @ c @ s,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(c_0_4,negated_conjecture,
~ ( termi @ c2 @ s2 ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_3])]) ).
thf(c_0_5,hypothesis,
! [X1546: state,X1547: state,X1548: state] :
( ( ( termi @ c2 @ X1547 )
| ~ ( termi @ c @ X1546 )
| ~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X1546 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1547 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ) )
& ( ~ ( exec @ X1547 @ c2 @ X1548 )
| ( pHoare806997636termis @ cs @ X1548 )
| ~ ( termi @ c @ X1546 )
| ~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X1546 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1547 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_2])])])])]) ).
thf(c_0_6,negated_conjecture,
~ ( termi @ c2 @ s2 ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_7,hypothesis,
! [X3: state,X1: state] :
( ( termi @ c2 @ X1 )
| ~ ( termi @ c @ X3 )
| ~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ X3 ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ X1 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,hypothesis,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ s2 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
inference(split_conjunct,[status(thm)],[conj_0]) ).
thf(c_0_9,hypothesis,
termi @ c @ s,
inference(split_conjunct,[status(thm)],[conj_1]) ).
thf(c_0_10,negated_conjecture,
~ ( termi @ c2 @ s2 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP142^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat May 18 17:53:53 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running higher-order theorem proving
% 0.19/0.47 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
% 0.60/0.56 # Version: 3.1.0-ho
% 0.60/0.56 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.60/0.56 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.56 # Starting full_lambda_6 with 1200s (4) cores
% 0.60/0.56 # Starting additional_ho_6 with 300s (1) cores
% 0.60/0.56 # Starting new_ho_9 with 300s (1) cores
% 0.60/0.56 # Starting full_lambda_3 with 300s (1) cores
% 0.60/0.56 # Starting post_as_ho6 with 300s (1) cores
% 0.60/0.56 # full_lambda_3 with pid 28146 completed with status 0
% 0.60/0.56 # Result found by full_lambda_3
% 0.60/0.56 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.60/0.56 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.56 # Starting full_lambda_6 with 1200s (4) cores
% 0.60/0.56 # Starting additional_ho_6 with 300s (1) cores
% 0.60/0.56 # Starting new_ho_9 with 300s (1) cores
% 0.60/0.56 # Starting full_lambda_3 with 300s (1) cores
% 0.60/0.56 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.60/0.56 # Search class: HGHSM-FSLF31-MHFFFSBN
% 0.60/0.56 # partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.60/0.56 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.60/0.56 # Starting new_ho_10 with 163s (1) cores
% 0.60/0.56 # new_ho_10 with pid 28148 completed with status 0
% 0.60/0.56 # Result found by new_ho_10
% 0.60/0.56 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.60/0.56 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.60/0.56 # Starting full_lambda_6 with 1200s (4) cores
% 0.60/0.56 # Starting additional_ho_6 with 300s (1) cores
% 0.60/0.56 # Starting new_ho_9 with 300s (1) cores
% 0.60/0.56 # Starting full_lambda_3 with 300s (1) cores
% 0.60/0.56 # SinE strategy is GSinE(CountTerms,hypos,1.5,,2,20000,1.0)
% 0.60/0.56 # Search class: HGHSM-FSLF31-MHFFFSBN
% 0.60/0.56 # partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.60/0.56 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.60/0.56 # Starting new_ho_10 with 163s (1) cores
% 0.60/0.56 # Preprocessing time : 0.006 s
% 0.60/0.56 # Presaturation interreduction done
% 0.60/0.56
% 0.60/0.56 # Proof found!
% 0.60/0.56 # SZS status Theorem
% 0.60/0.56 # SZS output start CNFRefutation
% See solution above
% 0.60/0.56 # Parsed axioms : 522
% 0.60/0.56 # Removed by relevancy pruning/SinE : 411
% 0.60/0.56 # Initial clauses : 218
% 0.60/0.56 # Removed in clause preprocessing : 13
% 0.60/0.56 # Initial clauses in saturation : 205
% 0.60/0.56 # Processed clauses : 353
% 0.60/0.56 # ...of these trivial : 9
% 0.60/0.56 # ...subsumed : 35
% 0.60/0.56 # ...remaining for further processing : 309
% 0.60/0.56 # Other redundant clauses eliminated : 100
% 0.60/0.56 # Clauses deleted for lack of memory : 0
% 0.60/0.56 # Backward-subsumed : 2
% 0.60/0.56 # Backward-rewritten : 9
% 0.60/0.56 # Generated clauses : 363
% 0.60/0.56 # ...of the previous two non-redundant : 223
% 0.60/0.56 # ...aggressively subsumed : 0
% 0.60/0.56 # Contextual simplify-reflections : 2
% 0.60/0.56 # Paramodulations : 239
% 0.60/0.56 # Factorizations : 0
% 0.60/0.56 # NegExts : 0
% 0.60/0.56 # Equation resolutions : 117
% 0.60/0.56 # Disequality decompositions : 0
% 0.60/0.56 # Total rewrite steps : 78
% 0.60/0.56 # ...of those cached : 31
% 0.60/0.56 # Propositional unsat checks : 0
% 0.60/0.56 # Propositional check models : 0
% 0.60/0.56 # Propositional check unsatisfiable : 0
% 0.60/0.56 # Propositional clauses : 0
% 0.60/0.56 # Propositional clauses after purity: 0
% 0.60/0.56 # Propositional unsat core size : 0
% 0.60/0.56 # Propositional preprocessing time : 0.000
% 0.60/0.56 # Propositional encoding time : 0.000
% 0.60/0.56 # Propositional solver time : 0.000
% 0.60/0.56 # Success case prop preproc time : 0.000
% 0.60/0.56 # Success case prop encoding time : 0.000
% 0.60/0.56 # Success case prop solver time : 0.000
% 0.60/0.56 # Current number of processed clauses : 116
% 0.60/0.56 # Positive orientable unit clauses : 36
% 0.60/0.56 # Positive unorientable unit clauses: 0
% 0.60/0.56 # Negative unit clauses : 11
% 0.60/0.56 # Non-unit-clauses : 69
% 0.60/0.56 # Current number of unprocessed clauses: 231
% 0.60/0.56 # ...number of literals in the above : 550
% 0.60/0.56 # Current number of archived formulas : 0
% 0.60/0.56 # Current number of archived clauses : 175
% 0.60/0.56 # Clause-clause subsumption calls (NU) : 8222
% 0.60/0.56 # Rec. Clause-clause subsumption calls : 5487
% 0.60/0.56 # Non-unit clause-clause subsumptions : 28
% 0.60/0.56 # Unit Clause-clause subsumption calls : 93
% 0.60/0.56 # Rewrite failures with RHS unbound : 0
% 0.60/0.56 # BW rewrite match attempts : 11
% 0.60/0.56 # BW rewrite match successes : 9
% 0.60/0.56 # Condensation attempts : 353
% 0.60/0.56 # Condensation successes : 0
% 0.60/0.56 # Termbank termtop insertions : 31161
% 0.60/0.56 # Search garbage collected termcells : 10835
% 0.60/0.56
% 0.60/0.56 # -------------------------------------------------
% 0.60/0.56 # User time : 0.049 s
% 0.60/0.56 # System time : 0.009 s
% 0.60/0.56 # Total time : 0.058 s
% 0.60/0.56 # Maximum resident set size: 4340 pages
% 0.60/0.56
% 0.60/0.56 # -------------------------------------------------
% 0.60/0.56 # User time : 0.073 s
% 0.60/0.56 # System time : 0.011 s
% 0.60/0.56 # Total time : 0.084 s
% 0.60/0.56 # Maximum resident set size: 3236 pages
% 0.60/0.56 % E---3.1 exiting
% 0.60/0.57 % E exiting
%------------------------------------------------------------------------------