TSTP Solution File: SWW390+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW390+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 600s
% DateTime : Thu Jul 21 00:10:43 EDT 2022
% Result : Theorem 0.96s 5.14s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 17 unt; 0 def)
% Number of atoms : 23 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 11 sgn 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
( ? [X28,X145] : v_P(X28,X145)
=> ? [X308,X309] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X308),v_c),X309)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_singleton__conv2,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X6)) = hAPP(hAPP(c_Set_Oinsert(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_singleton__conv2) ).
fof(fact_List_Oset_Osimps_I1_J,axiom,
! [X5] : hAPP(c_List_Oset(X5),c_List_Olist_ONil(X5)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_List_Oset_Osimps_I1_J) ).
fof(fact_Collect__def,axiom,
! [X23,X5] : hAPP(c_Set_OCollect(X5),X23) = X23,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_Collect__def) ).
fof(fact_falseE,axiom,
! [X26,X20,X4,X5] : c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X5),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X20),X26)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_falseE) ).
fof(c_0_5,negated_conjecture,
~ ( ? [X28,X145] : v_P(X28,X145)
=> ? [X308,X309] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X308),v_c),X309)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_6,plain,
! [X7,X8] : hAPP(c_Set_OCollect(X8),hAPP(c_fequal,X7)) = hAPP(hAPP(c_Set_Oinsert(X8),X7),c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).
fof(c_0_7,plain,
! [X6] : hAPP(c_List_Oset(X6),c_List_Olist_ONil(X6)) = c_Orderings_Obot__class_Obot(tc_fun(X6,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_List_Oset_Osimps_I1_J]) ).
fof(c_0_8,plain,
! [X24,X25] : hAPP(c_Set_OCollect(X25),X24) = X24,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_9,negated_conjecture,
! [X312,X313] :
( v_P(esk576_0,esk577_0)
& ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X312),v_c),X313)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
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)],[c_0_5])])])])])]) ).
cnf(c_0_10,plain,
hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X27,X28,X29,X30] : c_Hoare__Mirabelle_Ohoare__derivs(X30,X29,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X30)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X30),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X30),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X28),X27)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X30),tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_falseE]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(c_List_Oset(X1),c_List_Olist_ONil(X1))) = hAPP(c_fequal,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_16,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),v_c),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_11]),c_0_15]) ).
cnf(c_0_18,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),X1),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),X3),X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_11]),c_0_15]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW390+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jun 5 03:24:49 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.96/5.14 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.96/5.14 # Preprocessing time : 0.960 s
% 0.96/5.14
% 0.96/5.14 # Proof found!
% 0.96/5.14 # SZS status Theorem
% 0.96/5.14 # SZS output start CNFRefutation
% See solution above
% 0.96/5.14 # Proof object total steps : 20
% 0.96/5.14 # Proof object clause steps : 9
% 0.96/5.14 # Proof object formula steps : 11
% 0.96/5.14 # Proof object conjectures : 6
% 0.96/5.14 # Proof object clause conjectures : 3
% 0.96/5.14 # Proof object formula conjectures : 3
% 0.96/5.14 # Proof object initial clauses used : 5
% 0.96/5.14 # Proof object initial formulas used : 5
% 0.96/5.14 # Proof object generating inferences : 1
% 0.96/5.14 # Proof object simplifying inferences : 6
% 0.96/5.14 # Training examples: 0 positive, 0 negative
% 0.96/5.14 # Parsed axioms : 5228
% 0.96/5.14 # Removed by relevancy pruning/SinE : 0
% 0.96/5.14 # Initial clauses : 7593
% 0.96/5.14 # Removed in clause preprocessing : 228
% 0.96/5.14 # Initial clauses in saturation : 7365
% 0.96/5.14 # Processed clauses : 3280
% 0.96/5.14 # ...of these trivial : 135
% 0.96/5.14 # ...subsumed : 445
% 0.96/5.14 # ...remaining for further processing : 2700
% 0.96/5.14 # Other redundant clauses eliminated : 338
% 0.96/5.14 # Clauses deleted for lack of memory : 54048
% 0.96/5.14 # Backward-subsumed : 8
% 0.96/5.14 # Backward-rewritten : 103
% 0.96/5.14 # Generated clauses : 155850
% 0.96/5.14 # ...of the previous two non-trivial : 146677
% 0.96/5.14 # Contextual simplify-reflections : 34
% 0.96/5.14 # Paramodulations : 155398
% 0.96/5.14 # Factorizations : 10
% 0.96/5.14 # Equation resolutions : 445
% 0.96/5.14 # Current number of processed clauses : 2529
% 0.96/5.14 # Positive orientable unit clauses : 849
% 0.96/5.14 # Positive unorientable unit clauses: 65
% 0.96/5.14 # Negative unit clauses : 50
% 0.96/5.14 # Non-unit-clauses : 1565
% 0.96/5.14 # Current number of unprocessed clauses: 94302
% 0.96/5.14 # ...number of literals in the above : 242077
% 0.96/5.14 # Current number of archived formulas : 0
% 0.96/5.14 # Current number of archived clauses : 152
% 0.96/5.14 # Clause-clause subsumption calls (NU) : 498687
% 0.96/5.14 # Rec. Clause-clause subsumption calls : 245861
% 0.96/5.14 # Non-unit clause-clause subsumptions : 442
% 0.96/5.14 # Unit Clause-clause subsumption calls : 5674
% 0.96/5.14 # Rewrite failures with RHS unbound : 9833
% 0.96/5.14 # BW rewrite match attempts : 7116
% 0.96/5.14 # BW rewrite match successes : 3731
% 0.96/5.14 # Condensation attempts : 0
% 0.96/5.14 # Condensation successes : 0
% 0.96/5.14 # Termbank termtop insertions : 3979290
% 0.96/5.14
% 0.96/5.14 # -------------------------------------------------
% 0.96/5.14 # User time : 3.414 s
% 0.96/5.14 # System time : 0.080 s
% 0.96/5.14 # Total time : 3.494 s
% 0.96/5.14 # Maximum resident set size: 144848 pages
% 0.96/24.11 eprover: CPU time limit exceeded, terminating
% 0.96/24.12 eprover: CPU time limit exceeded, terminating
% 0.96/24.12 eprover: CPU time limit exceeded, terminating
% 0.96/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.13 eprover: No such file or directory
% 0.96/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.13 eprover: No such file or directory
% 0.96/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.13 eprover: No such file or directory
% 0.96/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.13 eprover: No such file or directory
% 0.96/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.14 eprover: No such file or directory
% 0.96/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.14 eprover: No such file or directory
% 0.96/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.14 eprover: No such file or directory
% 0.96/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.14 eprover: No such file or directory
% 0.96/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.14 eprover: No such file or directory
% 0.96/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.15 eprover: No such file or directory
% 0.96/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.15 eprover: No such file or directory
% 0.96/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.15 eprover: No such file or directory
% 0.96/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.15 eprover: No such file or directory
% 0.96/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.15 eprover: No such file or directory
% 0.96/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.15 eprover: No such file or directory
% 0.96/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.16 eprover: No such file or directory
% 0.96/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.16 eprover: No such file or directory
% 0.96/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.16 eprover: No such file or directory
% 0.96/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.16 eprover: No such file or directory
% 0.96/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.16 eprover: No such file or directory
% 0.96/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.16 eprover: No such file or directory
% 0.96/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.16 eprover: No such file or directory
% 0.96/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.17 eprover: No such file or directory
% 0.96/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.17 eprover: No such file or directory
% 0.96/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.17 eprover: No such file or directory
% 0.96/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.17 eprover: No such file or directory
% 0.96/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.17 eprover: No such file or directory
% 0.96/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.17 eprover: No such file or directory
% 0.96/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.17 eprover: No such file or directory
% 0.96/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.18 eprover: No such file or directory
% 0.96/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.18 eprover: No such file or directory
% 0.96/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.18 eprover: No such file or directory
% 0.96/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.19 eprover: No such file or directory
%------------------------------------------------------------------------------