TSTP Solution File: ITP145^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP145^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : Sat May 4 08:07:07 EDT 2024
% Result : Theorem 0.42s 0.89s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 28
% Syntax : Number of formulae : 47 ( 18 unt; 21 typ; 0 def)
% Number of atoms : 37 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 232 ( 12 ~; 8 |; 0 &; 209 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 29 ( 0 ^ 29 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $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,
state: $tType ).
thf(decl_sort6,type,
produc2041926651_state: $tType ).
thf(decl_sort7,type,
produc410756839_state: $tType ).
thf(decl_22,type,
zero_zero_nat: nat ).
thf(decl_35,type,
cons_com: com > list_com > list_com ).
thf(decl_40,type,
nil_com: list_com ).
thf(decl_56,type,
suc: nat > nat ).
thf(decl_57,type,
pHoare259243666_exec1: set_Pr1165141447_state ).
thf(decl_70,type,
produc1204172211_state: list_com > state > produc2041926651_state ).
thf(decl_74,type,
produc1909270103_state: produc2041926651_state > produc2041926651_state > produc410756839_state ).
thf(decl_85,type,
transi1302705790_state: set_Pr1165141447_state > set_Pr1165141447_state ).
thf(decl_88,type,
transi1726587420_state: set_Pr1165141447_state > set_Pr1165141447_state ).
thf(decl_99,type,
member1069318160_state: produc410756839_state > set_Pr1165141447_state > $o ).
thf(decl_102,type,
c: com ).
thf(decl_103,type,
f: nat > produc2041926651_state ).
thf(decl_104,type,
n: nat ).
thf(decl_105,type,
s: state ).
thf(fact_33_r__into__rtrancl,axiom,
! [X140: produc410756839_state,X141: set_Pr1165141447_state] :
( ( member1069318160_state @ X140 @ X141 )
=> ( member1069318160_state @ X140 @ ( transi1302705790_state @ X141 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4iXYAPUBU7/E---3.1_3930.p',fact_33_r__into__rtrancl) ).
thf(fact_9_trancl__rtrancl__absorb,axiom,
! [X24: set_Pr1165141447_state] :
( ( transi1302705790_state @ ( transi1726587420_state @ X24 ) )
= ( transi1302705790_state @ X24 ) ),
file('/export/starexec/sandbox/tmp/tmp.4iXYAPUBU7/E---3.1_3930.p',fact_9_trancl__rtrancl__absorb) ).
thf(conj_4,conjecture,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
file('/export/starexec/sandbox/tmp/tmp.4iXYAPUBU7/E---3.1_3930.p',conj_4) ).
thf(conj_2,hypothesis,
! [X9: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ X9 ) @ ( f @ ( suc @ X9 ) ) ) @ ( transi1726587420_state @ pHoare259243666_exec1 ) ),
file('/export/starexec/sandbox/tmp/tmp.4iXYAPUBU7/E---3.1_3930.p',conj_2) ).
thf(fact_53_rtrancl__trans,axiom,
! [X120: produc2041926651_state,X121: produc2041926651_state,X189: set_Pr1165141447_state,X166: produc2041926651_state] :
( ( member1069318160_state @ ( produc1909270103_state @ X120 @ X121 ) @ ( transi1302705790_state @ X189 ) )
=> ( ( member1069318160_state @ ( produc1909270103_state @ X121 @ X166 ) @ ( transi1302705790_state @ X189 ) )
=> ( member1069318160_state @ ( produc1909270103_state @ X120 @ X166 ) @ ( transi1302705790_state @ X189 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4iXYAPUBU7/E---3.1_3930.p',fact_53_rtrancl__trans) ).
thf(conj_1,hypothesis,
( ( f @ zero_zero_nat )
= ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) ),
file('/export/starexec/sandbox/tmp/tmp.4iXYAPUBU7/E---3.1_3930.p',conj_1) ).
thf(conj_3,hypothesis,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ n ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
file('/export/starexec/sandbox/tmp/tmp.4iXYAPUBU7/E---3.1_3930.p',conj_3) ).
thf(c_0_7,plain,
! [X2692: produc410756839_state,X2693: set_Pr1165141447_state] :
( ~ ( member1069318160_state @ X2692 @ X2693 )
| ( member1069318160_state @ X2692 @ ( transi1302705790_state @ X2693 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_33_r__into__rtrancl])])]) ).
thf(c_0_8,plain,
! [X2532: set_Pr1165141447_state] :
( ( transi1302705790_state @ ( transi1726587420_state @ X2532 ) )
= ( transi1302705790_state @ X2532 ) ),
inference(variable_rename,[status(thm)],[fact_9_trancl__rtrancl__absorb]) ).
thf(c_0_9,negated_conjecture,
~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_4])]) ).
thf(c_0_10,plain,
! [X4: produc410756839_state,X12: set_Pr1165141447_state] :
( ( member1069318160_state @ X4 @ ( transi1302705790_state @ X12 ) )
| ~ ( member1069318160_state @ X4 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X12: set_Pr1165141447_state] :
( ( transi1302705790_state @ ( transi1726587420_state @ X12 ) )
= ( transi1302705790_state @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,hypothesis,
! [X4148: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ X4148 ) @ ( f @ ( suc @ X4148 ) ) ) @ ( transi1726587420_state @ pHoare259243666_exec1 ) ),
inference(variable_rename,[status(thm)],[conj_2]) ).
thf(c_0_13,negated_conjecture,
~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
! [X2770: produc2041926651_state,X2771: produc2041926651_state,X2772: set_Pr1165141447_state,X2773: produc2041926651_state] :
( ~ ( member1069318160_state @ ( produc1909270103_state @ X2770 @ X2771 ) @ ( transi1302705790_state @ X2772 ) )
| ~ ( member1069318160_state @ ( produc1909270103_state @ X2771 @ X2773 ) @ ( transi1302705790_state @ X2772 ) )
| ( member1069318160_state @ ( produc1909270103_state @ X2770 @ X2773 ) @ ( transi1302705790_state @ X2772 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_53_rtrancl__trans])])]) ).
thf(c_0_15,plain,
! [X4: produc410756839_state,X12: set_Pr1165141447_state] :
( ( member1069318160_state @ X4 @ ( transi1302705790_state @ X12 ) )
| ~ ( member1069318160_state @ X4 @ ( transi1726587420_state @ X12 ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_16,hypothesis,
! [X7: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ X7 ) @ ( f @ ( suc @ X7 ) ) ) @ ( transi1726587420_state @ pHoare259243666_exec1 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_18,hypothesis,
( ( f @ zero_zero_nat )
= ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) ),
inference(split_conjunct,[status(thm)],[conj_1]) ).
thf(c_0_19,plain,
! [X10: produc2041926651_state,X18: produc2041926651_state,X15: produc2041926651_state,X12: set_Pr1165141447_state] :
( ( member1069318160_state @ ( produc1909270103_state @ X10 @ X18 ) @ ( transi1302705790_state @ X12 ) )
| ~ ( member1069318160_state @ ( produc1909270103_state @ X10 @ X15 ) @ ( transi1302705790_state @ X12 ) )
| ~ ( member1069318160_state @ ( produc1909270103_state @ X15 @ X18 ) @ ( transi1302705790_state @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_20,hypothesis,
! [X7: nat] : ( member1069318160_state @ ( produc1909270103_state @ ( f @ X7 ) @ ( f @ ( suc @ X7 ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_21,hypothesis,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( f @ n ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
inference(split_conjunct,[status(thm)],[conj_3]) ).
thf(c_0_22,negated_conjecture,
~ ( member1069318160_state @ ( produc1909270103_state @ ( f @ zero_zero_nat ) @ ( f @ ( suc @ n ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_23,hypothesis,
! [X10: produc2041926651_state,X7: nat] :
( ( member1069318160_state @ ( produc1909270103_state @ X10 @ ( f @ ( suc @ X7 ) ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
| ~ ( member1069318160_state @ ( produc1909270103_state @ X10 @ ( f @ X7 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_24,hypothesis,
member1069318160_state @ ( produc1909270103_state @ ( f @ zero_zero_nat ) @ ( f @ n ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
thf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19 % Problem : ITP145^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.20 % Command : run_E %s %d THM
% 0.19/0.40 % Computer : n021.cluster.edu
% 0.19/0.40 % Model : x86_64 x86_64
% 0.19/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40 % Memory : 8042.1875MB
% 0.19/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40 % CPULimit : 300
% 0.19/0.40 % WCLimit : 300
% 0.19/0.40 % DateTime : Fri May 3 12:13:28 EDT 2024
% 0.19/0.40 % CPUTime :
% 0.41/0.58 Running higher-order theorem proving
% 0.41/0.58 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/tmp/tmp.4iXYAPUBU7/E---3.1_3930.p
% 0.42/0.89 # Version: 3.1.0-ho
% 0.42/0.89 # Preprocessing class: HSLSSMSMSSMNHFA.
% 0.42/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.89 # Starting new_ho_3 with 1500s (5) cores
% 0.42/0.89 # Starting sh7 with 300s (1) cores
% 0.42/0.89 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.42/0.89 # Starting pre_casc_7 with 300s (1) cores
% 0.42/0.89 # ehoh_best2_full_lfho with pid 4011 completed with status 0
% 0.42/0.89 # Result found by ehoh_best2_full_lfho
% 0.42/0.89 # Preprocessing class: HSLSSMSMSSMNHFA.
% 0.42/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.89 # Starting new_ho_3 with 1500s (5) cores
% 0.42/0.89 # Starting sh7 with 300s (1) cores
% 0.42/0.89 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.42/0.89 # No SInE strategy applied
% 0.42/0.89 # Search class: HGHSM-FSLM32-MHFFFSBN
% 0.42/0.89 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.42/0.89 # Starting sh9 with 163s (1) cores
% 0.42/0.89 # sh9 with pid 4018 completed with status 0
% 0.42/0.89 # Result found by sh9
% 0.42/0.89 # Preprocessing class: HSLSSMSMSSMNHFA.
% 0.42/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.89 # Starting new_ho_3 with 1500s (5) cores
% 0.42/0.89 # Starting sh7 with 300s (1) cores
% 0.42/0.89 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.42/0.89 # No SInE strategy applied
% 0.42/0.89 # Search class: HGHSM-FSLM32-MHFFFSBN
% 0.42/0.89 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.42/0.89 # Starting sh9 with 163s (1) cores
% 0.42/0.89 # Preprocessing time : 0.015 s
% 0.42/0.89 # Presaturation interreduction done
% 0.42/0.89
% 0.42/0.89 # Proof found!
% 0.42/0.89 # SZS status Theorem
% 0.42/0.89 # SZS output start CNFRefutation
% See solution above
% 0.42/0.89 # Parsed axioms : 468
% 0.42/0.89 # Removed by relevancy pruning/SinE : 0
% 0.42/0.89 # Initial clauses : 964
% 0.42/0.89 # Removed in clause preprocessing : 138
% 0.42/0.89 # Initial clauses in saturation : 826
% 0.42/0.89 # Processed clauses : 1652
% 0.42/0.89 # ...of these trivial : 46
% 0.42/0.89 # ...subsumed : 330
% 0.42/0.89 # ...remaining for further processing : 1276
% 0.42/0.89 # Other redundant clauses eliminated : 267
% 0.42/0.89 # Clauses deleted for lack of memory : 0
% 0.42/0.89 # Backward-subsumed : 3
% 0.42/0.89 # Backward-rewritten : 30
% 0.42/0.89 # Generated clauses : 2287
% 0.42/0.89 # ...of the previous two non-redundant : 1774
% 0.42/0.89 # ...aggressively subsumed : 0
% 0.42/0.89 # Contextual simplify-reflections : 2
% 0.42/0.89 # Paramodulations : 2005
% 0.42/0.89 # Factorizations : 0
% 0.42/0.89 # NegExts : 0
% 0.42/0.89 # Equation resolutions : 288
% 0.42/0.89 # Disequality decompositions : 0
% 0.42/0.89 # Total rewrite steps : 737
% 0.42/0.89 # ...of those cached : 547
% 0.42/0.89 # Propositional unsat checks : 0
% 0.42/0.89 # Propositional check models : 0
% 0.42/0.89 # Propositional check unsatisfiable : 0
% 0.42/0.89 # Propositional clauses : 0
% 0.42/0.89 # Propositional clauses after purity: 0
% 0.42/0.89 # Propositional unsat core size : 0
% 0.42/0.89 # Propositional preprocessing time : 0.000
% 0.42/0.89 # Propositional encoding time : 0.000
% 0.42/0.89 # Propositional solver time : 0.000
% 0.42/0.89 # Success case prop preproc time : 0.000
% 0.42/0.89 # Success case prop encoding time : 0.000
% 0.42/0.89 # Success case prop solver time : 0.000
% 0.42/0.89 # Current number of processed clauses : 432
% 0.42/0.89 # Positive orientable unit clauses : 123
% 0.42/0.89 # Positive unorientable unit clauses: 0
% 0.42/0.89 # Negative unit clauses : 25
% 0.42/0.89 # Non-unit-clauses : 284
% 0.42/0.89 # Current number of unprocessed clauses: 1637
% 0.42/0.89 # ...number of literals in the above : 4711
% 0.42/0.89 # Current number of archived formulas : 0
% 0.42/0.89 # Current number of archived clauses : 770
% 0.42/0.89 # Clause-clause subsumption calls (NU) : 113472
% 0.42/0.89 # Rec. Clause-clause subsumption calls : 76607
% 0.42/0.89 # Non-unit clause-clause subsumptions : 281
% 0.42/0.89 # Unit Clause-clause subsumption calls : 2230
% 0.42/0.89 # Rewrite failures with RHS unbound : 0
% 0.42/0.89 # BW rewrite match attempts : 54
% 0.42/0.89 # BW rewrite match successes : 29
% 0.42/0.89 # Condensation attempts : 1652
% 0.42/0.89 # Condensation successes : 0
% 0.42/0.89 # Termbank termtop insertions : 112813
% 0.42/0.89 # Search garbage collected termcells : 23779
% 0.42/0.89
% 0.42/0.89 # -------------------------------------------------
% 0.42/0.89 # User time : 0.254 s
% 0.42/0.89 # System time : 0.018 s
% 0.42/0.89 # Total time : 0.273 s
% 0.42/0.89 # Maximum resident set size: 7180 pages
% 0.42/0.89
% 0.42/0.89 # -------------------------------------------------
% 0.42/0.89 # User time : 0.271 s
% 0.42/0.89 # System time : 0.025 s
% 0.42/0.89 # Total time : 0.295 s
% 0.42/0.89 # Maximum resident set size: 3080 pages
% 0.42/0.89 % E---3.1 exiting
% 0.42/0.89 % E exiting
%------------------------------------------------------------------------------