TSTP Solution File: SWW470+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW470+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 : 600s
% DateTime : Thu Jul 21 00:10:52 EDT 2022
% Result : Theorem 0.44s 6.61s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 40 ( 7 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 30 ( 12 ~; 10 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 17 con; 0-6 aty)
% Number of variables : 41 ( 6 sgn 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_123_conseq,axiom,
! [X15,X3,X14,X13] :
( ! [X17,X18] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X13,X17),X18))
=> ? [X38,X39] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X38,X14,X39)),bot_bo797238721a_bool)))
& ! [X21] :
( ! [X22] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X38,X22),X18))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X39,X22),X21)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X15,X17),X21)) ) ) )
=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X13,X14,X15)),bot_bo797238721a_bool))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_123_conseq) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
! [X291,X292] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X291),X292) = X291,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [X291,X292] :
( is_bool(X291)
=> hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X291),X292) = X291 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
fof(conj_0,conjecture,
hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(gsy_c_fFalse,hypothesis,
is_bool(fFalse),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_fFalse) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',help_fFalse_1_1_U) ).
fof(c_0_6,plain,
! [X40,X41,X42,X43,X46,X47,X49] :
( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X43,esk16_4(X40,X41,X42,X43)),esk17_4(X40,X41,X42,X43)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X41),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X43,X42,X40)),bot_bo797238721a_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X46,X49),esk17_4(X40,X41,X42,X43)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X47,X49),esk18_6(X40,X41,X42,X43,X46,X47)))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X41),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X46,X42,X47)),bot_bo797238721a_bool)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X41),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X43,X42,X40)),bot_bo797238721a_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X40,esk16_4(X40,X41,X42,X43)),esk18_6(X40,X41,X42,X43,X46,X47)))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X41),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X46,X42,X47)),bot_bo797238721a_bool)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X41),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X43,X42,X40)),bot_bo797238721a_bool))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_123_conseq])])])])])])]) ).
fof(c_0_7,plain,
! [X293,X294] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X293),X294) = X293,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U]) ).
fof(c_0_8,plain,
! [X293,X294] :
( ~ is_bool(X293)
| hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X293),X294) = X293 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U])])])]) ).
fof(c_0_9,negated_conjecture,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
inference(assume_negation,[status(cth)],[conj_0]) ).
cnf(c_0_10,plain,
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X2,X3,X4)),bot_bo797238721a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,esk16_4(X4,X1,X3,X2)),esk17_4(X4,X1,X3,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[gsy_c_fFalse]) ).
fof(c_0_14,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
fof(c_0_15,negated_conjecture,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2),X3,X4)),bot_bo797238721a_bool)))
| hBOOL(hAPP_state_bool(X2,esk17_4(X4,X1,X3,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,hypothesis,
hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),X1) = fFalse,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,hypothesis,
hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),X2,X3)),bot_bo797238721a_bool))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW470+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n027.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 : 600
% 0.14/0.35 % DateTime : Sun Jun 5 00:15:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.44/6.61 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.44/6.61 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.44/6.61 # Preprocessing time : 0.078 s
% 0.44/6.61
% 0.44/6.61 # Proof found!
% 0.44/6.61 # SZS status Theorem
% 0.44/6.61 # SZS output start CNFRefutation
% See solution above
% 0.44/6.61 # Proof object total steps : 22
% 0.44/6.61 # Proof object clause steps : 10
% 0.44/6.61 # Proof object formula steps : 12
% 0.44/6.61 # Proof object conjectures : 5
% 0.44/6.61 # Proof object clause conjectures : 2
% 0.44/6.61 # Proof object formula conjectures : 3
% 0.44/6.61 # Proof object initial clauses used : 6
% 0.44/6.61 # Proof object initial formulas used : 6
% 0.44/6.61 # Proof object generating inferences : 3
% 0.44/6.61 # Proof object simplifying inferences : 3
% 0.44/6.61 # Training examples: 0 positive, 0 negative
% 0.44/6.61 # Parsed axioms : 1399
% 0.44/6.61 # Removed by relevancy pruning/SinE : 1321
% 0.44/6.61 # Initial clauses : 118
% 0.44/6.61 # Removed in clause preprocessing : 4
% 0.44/6.61 # Initial clauses in saturation : 114
% 0.44/6.61 # Processed clauses : 4343
% 0.44/6.61 # ...of these trivial : 99
% 0.44/6.61 # ...subsumed : 2557
% 0.44/6.61 # ...remaining for further processing : 1687
% 0.44/6.61 # Other redundant clauses eliminated : 33
% 0.44/6.61 # Clauses deleted for lack of memory : 0
% 0.44/6.61 # Backward-subsumed : 6
% 0.44/6.61 # Backward-rewritten : 42
% 0.44/6.61 # Generated clauses : 33558
% 0.44/6.61 # ...of the previous two non-trivial : 29633
% 0.44/6.61 # Contextual simplify-reflections : 406
% 0.44/6.61 # Paramodulations : 33505
% 0.44/6.61 # Factorizations : 3
% 0.44/6.61 # Equation resolutions : 51
% 0.44/6.61 # Current number of processed clauses : 1635
% 0.44/6.61 # Positive orientable unit clauses : 370
% 0.44/6.61 # Positive unorientable unit clauses: 23
% 0.44/6.61 # Negative unit clauses : 541
% 0.44/6.61 # Non-unit-clauses : 701
% 0.44/6.61 # Current number of unprocessed clauses: 25238
% 0.44/6.61 # ...number of literals in the above : 63582
% 0.44/6.61 # Current number of archived formulas : 0
% 0.44/6.61 # Current number of archived clauses : 48
% 0.44/6.61 # Clause-clause subsumption calls (NU) : 207778
% 0.44/6.61 # Rec. Clause-clause subsumption calls : 131520
% 0.44/6.61 # Non-unit clause-clause subsumptions : 1910
% 0.44/6.61 # Unit Clause-clause subsumption calls : 27698
% 0.44/6.61 # Rewrite failures with RHS unbound : 0
% 0.44/6.61 # BW rewrite match attempts : 51271
% 0.44/6.61 # BW rewrite match successes : 62
% 0.44/6.61 # Condensation attempts : 0
% 0.44/6.61 # Condensation successes : 0
% 0.44/6.61 # Termbank termtop insertions : 4661934
% 0.44/6.61
% 0.44/6.61 # -------------------------------------------------
% 0.44/6.61 # User time : 5.475 s
% 0.44/6.61 # System time : 0.056 s
% 0.44/6.61 # Total time : 5.531 s
% 0.44/6.61 # Maximum resident set size: 73316 pages
% 0.44/23.57 eprover: CPU time limit exceeded, terminating
% 0.44/23.57 eprover: CPU time limit exceeded, terminating
% 0.44/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.58 eprover: No such file or directory
% 0.44/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.59 eprover: No such file or directory
% 0.44/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.59 eprover: No such file or directory
% 0.44/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.59 eprover: No such file or directory
% 0.44/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.60 eprover: No such file or directory
% 0.44/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.60 eprover: No such file or directory
% 0.44/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.60 eprover: No such file or directory
% 0.44/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.60 eprover: No such file or directory
% 0.44/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.60 eprover: No such file or directory
% 0.44/23.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.61 eprover: No such file or directory
% 0.44/23.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.61 eprover: No such file or directory
% 0.44/23.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.61 eprover: No such file or directory
% 0.44/23.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.61 eprover: No such file or directory
% 0.44/23.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.62 eprover: No such file or directory
% 0.44/23.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.62 eprover: No such file or directory
% 0.44/23.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.62 eprover: No such file or directory
% 0.44/23.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.63 eprover: No such file or directory
% 0.44/23.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.63 eprover: No such file or directory
% 0.44/23.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.63 eprover: No such file or directory
% 0.44/23.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.64 eprover: No such file or directory
% 0.44/23.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.64 eprover: No such file or directory
% 0.44/23.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.44/23.64 eprover: No such file or directory
%------------------------------------------------------------------------------