TSTP Solution File: SWW387+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW387+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 00:10:43 EDT 2022
% Result : Theorem 0.93s 2.10s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 36 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 15 ~; 11 |; 1 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn 6 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_5,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_5) ).
fof(fact_MGF,axiom,
! [X7] :
( c_Hoare__Mirabelle_Ostate__not__singleton
=> ( c_Com_OWT__bodies
=> ( hBOOL(hAPP(c_Com_OWT,X7))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X7)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_MGF) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(conj_1,hypothesis,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(fact_WT_Oequations_I7_J,axiom,
! [X6] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X6)))
<=> ? [X13] : hAPP(c_Com_Obody,X6) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X13) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_WT_Oequations_I7_J) ).
fof(conj_3,hypothesis,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_3) ).
fof(c_0_6,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(assume_negation,[status(cth)],[conj_5]) ).
fof(c_0_7,plain,
! [X8] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ hBOOL(hAPP(c_Com_OWT,X8))
| c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X8)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_MGF])])])]) ).
fof(c_0_8,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X1))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,hypothesis,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_11,hypothesis,
c_Com_OWT__bodies,
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_12,plain,
! [X14,X14,X16] :
( ( ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X14)))
| hAPP(c_Com_Obody,X14) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),esk3_1(X14)) )
& ( hAPP(c_Com_Obody,X14) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X16)
| hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X14))) ) ),
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_WT_Oequations_I7_J])])])])])]) ).
cnf(c_0_13,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_15,plain,
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))
| hAPP(c_Com_Obody,X1) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,hypothesis,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(split_conjunct,[status(thm)],[conj_3]) ).
cnf(c_0_17,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,v_pn))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,hypothesis,
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X1)))
| hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW387+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n022.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 : 600
% 0.12/0.34 % DateTime : Sun Jun 5 02:21:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.93/2.10 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.93/2.10 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.93/2.10 # Preprocessing time : 0.234 s
% 0.93/2.10
% 0.93/2.10 # Proof found!
% 0.93/2.10 # SZS status Theorem
% 0.93/2.10 # SZS output start CNFRefutation
% See solution above
% 0.93/2.10 # Proof object total steps : 20
% 0.93/2.10 # Proof object clause steps : 10
% 0.93/2.10 # Proof object formula steps : 10
% 0.93/2.10 # Proof object conjectures : 6
% 0.93/2.10 # Proof object clause conjectures : 3
% 0.93/2.10 # Proof object formula conjectures : 3
% 0.93/2.10 # Proof object initial clauses used : 6
% 0.93/2.10 # Proof object initial formulas used : 6
% 0.93/2.10 # Proof object generating inferences : 3
% 0.93/2.10 # Proof object simplifying inferences : 3
% 0.93/2.10 # Training examples: 0 positive, 0 negative
% 0.93/2.10 # Parsed axioms : 5249
% 0.93/2.10 # Removed by relevancy pruning/SinE : 5148
% 0.93/2.10 # Initial clauses : 132
% 0.93/2.10 # Removed in clause preprocessing : 3
% 0.93/2.10 # Initial clauses in saturation : 129
% 0.93/2.10 # Processed clauses : 139
% 0.93/2.10 # ...of these trivial : 2
% 0.93/2.10 # ...subsumed : 21
% 0.93/2.10 # ...remaining for further processing : 116
% 0.93/2.10 # Other redundant clauses eliminated : 7
% 0.93/2.10 # Clauses deleted for lack of memory : 0
% 0.93/2.10 # Backward-subsumed : 0
% 0.93/2.10 # Backward-rewritten : 6
% 0.93/2.10 # Generated clauses : 1053
% 0.93/2.10 # ...of the previous two non-trivial : 1019
% 0.93/2.10 # Contextual simplify-reflections : 0
% 0.93/2.10 # Paramodulations : 1033
% 0.93/2.10 # Factorizations : 0
% 0.93/2.10 # Equation resolutions : 20
% 0.93/2.10 # Current number of processed clauses : 110
% 0.93/2.10 # Positive orientable unit clauses : 16
% 0.93/2.10 # Positive unorientable unit clauses: 11
% 0.93/2.10 # Negative unit clauses : 4
% 0.93/2.10 # Non-unit-clauses : 79
% 0.93/2.10 # Current number of unprocessed clauses: 956
% 0.93/2.10 # ...number of literals in the above : 2498
% 0.93/2.10 # Current number of archived formulas : 0
% 0.93/2.10 # Current number of archived clauses : 6
% 0.93/2.10 # Clause-clause subsumption calls (NU) : 1906
% 0.93/2.10 # Rec. Clause-clause subsumption calls : 1299
% 0.93/2.10 # Non-unit clause-clause subsumptions : 18
% 0.93/2.10 # Unit Clause-clause subsumption calls : 95
% 0.93/2.10 # Rewrite failures with RHS unbound : 18
% 0.93/2.10 # BW rewrite match attempts : 100
% 0.93/2.10 # BW rewrite match successes : 25
% 0.93/2.10 # Condensation attempts : 0
% 0.93/2.10 # Condensation successes : 0
% 0.93/2.10 # Termbank termtop insertions : 189942
% 0.93/2.10
% 0.93/2.10 # -------------------------------------------------
% 0.93/2.10 # User time : 0.268 s
% 0.93/2.10 # System time : 0.008 s
% 0.93/2.10 # Total time : 0.276 s
% 0.93/2.10 # Maximum resident set size: 14300 pages
% 0.93/24.10 eprover: CPU time limit exceeded, terminating
% 0.93/24.10 eprover: CPU time limit exceeded, terminating
% 0.93/24.11 eprover: CPU time limit exceeded, terminating
% 0.93/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.11 eprover: No such file or directory
% 0.93/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.11 eprover: No such file or directory
% 0.93/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.12 eprover: No such file or directory
% 0.93/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.12 eprover: No such file or directory
% 0.93/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.12 eprover: No such file or directory
% 0.93/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.12 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.93/24.17 eprover: No such file or directory
%------------------------------------------------------------------------------