TSTP Solution File: SWW391+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW391+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 0.94s 2.12s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 43 ( 15 ~; 17 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 11 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_2,conjecture,
! [X28,X29] :
( ( hBOOL(hAPP(hAPP(v_P,X28),X29))
| hBOOL(hAPP(hAPP(v_P_H,X28),X29)) )
=> ? [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))))
& ! [X39] :
( ! [X40] :
( hBOOL(hAPP(hAPP(X308,X40),X29))
=> hBOOL(hAPP(hAPP(X309,X40),X39)) )
=> ( hBOOL(hAPP(hAPP(v_Q,X28),X39))
| hBOOL(hAPP(hAPP(v_Q_H,X28),X39)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_2) ).
fof(conj_1,hypothesis,
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),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(conj_0,hypothesis,
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),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(c_0_3,negated_conjecture,
~ ! [X28,X29] :
( ( hBOOL(hAPP(hAPP(v_P,X28),X29))
| hBOOL(hAPP(hAPP(v_P_H,X28),X29)) )
=> ? [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))))
& ! [X39] :
( ! [X40] :
( hBOOL(hAPP(hAPP(X308,X40),X29))
=> hBOOL(hAPP(hAPP(X309,X40),X39)) )
=> ( hBOOL(hAPP(hAPP(v_Q,X28),X39))
| hBOOL(hAPP(hAPP(v_Q_H,X28),X39)) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_2]) ).
fof(c_0_4,negated_conjecture,
! [X312,X313,X315] :
( ( hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0))
| hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0)) )
& ( ~ hBOOL(hAPP(hAPP(X312,X315),esk2_0))
| hBOOL(hAPP(hAPP(X313,X315),esk3_2(X312,X313)))
| ~ 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)))) )
& ( ~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(X312,X313)))
| ~ 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)))) )
& ( ~ hBOOL(hAPP(hAPP(v_Q_H,esk1_0),esk3_2(X312,X313)))
| ~ 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(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)],[c_0_3])])])])])])]) ).
cnf(c_0_5,negated_conjecture,
( hBOOL(hAPP(hAPP(X2,X3),esk3_2(X1,X2)))
| ~ 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))))
| ~ hBOOL(hAPP(hAPP(X1,X3),esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P_H,esk1_0),esk2_0))
| hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,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))))
| ~ hBOOL(hAPP(hAPP(v_Q_H,esk1_0),esk3_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( hBOOL(hAPP(hAPP(X1,esk1_0),esk3_2(v_P_H,X1)))
| hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_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),v_P_H),v_c),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,hypothesis,
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),v_P_H),v_c),v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_10,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,esk1_0),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_11,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))))
| ~ hBOOL(hAPP(hAPP(v_Q,esk1_0),esk3_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( hBOOL(hAPP(hAPP(X1,esk1_0),esk3_2(v_P,X1)))
| ~ 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),v_P),v_c),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_13,hypothesis,
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),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW391+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n029.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 08:46:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.94/2.12 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.94/2.12 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.94/2.12 # Preprocessing time : 0.238 s
% 0.94/2.12
% 0.94/2.12 # Proof found!
% 0.94/2.12 # SZS status Theorem
% 0.94/2.12 # SZS output start CNFRefutation
% See solution above
% 0.94/2.12 # Proof object total steps : 15
% 0.94/2.12 # Proof object clause steps : 10
% 0.94/2.12 # Proof object formula steps : 5
% 0.94/2.12 # Proof object conjectures : 11
% 0.94/2.12 # Proof object clause conjectures : 8
% 0.94/2.12 # Proof object formula conjectures : 3
% 0.94/2.12 # Proof object initial clauses used : 6
% 0.94/2.12 # Proof object initial formulas used : 3
% 0.94/2.12 # Proof object generating inferences : 4
% 0.94/2.12 # Proof object simplifying inferences : 4
% 0.94/2.12 # Training examples: 0 positive, 0 negative
% 0.94/2.12 # Parsed axioms : 5230
% 0.94/2.12 # Removed by relevancy pruning/SinE : 5129
% 0.94/2.12 # Initial clauses : 172
% 0.94/2.12 # Removed in clause preprocessing : 7
% 0.94/2.12 # Initial clauses in saturation : 165
% 0.94/2.12 # Processed clauses : 183
% 0.94/2.12 # ...of these trivial : 2
% 0.94/2.12 # ...subsumed : 40
% 0.94/2.12 # ...remaining for further processing : 141
% 0.94/2.12 # Other redundant clauses eliminated : 14
% 0.94/2.12 # Clauses deleted for lack of memory : 0
% 0.94/2.12 # Backward-subsumed : 0
% 0.94/2.12 # Backward-rewritten : 3
% 0.94/2.12 # Generated clauses : 989
% 0.94/2.12 # ...of the previous two non-trivial : 857
% 0.94/2.12 # Contextual simplify-reflections : 8
% 0.94/2.12 # Paramodulations : 967
% 0.94/2.12 # Factorizations : 0
% 0.94/2.12 # Equation resolutions : 23
% 0.94/2.12 # Current number of processed clauses : 126
% 0.94/2.12 # Positive orientable unit clauses : 19
% 0.94/2.12 # Positive unorientable unit clauses: 3
% 0.94/2.12 # Negative unit clauses : 7
% 0.94/2.12 # Non-unit-clauses : 97
% 0.94/2.12 # Current number of unprocessed clauses: 811
% 0.94/2.12 # ...number of literals in the above : 2463
% 0.94/2.12 # Current number of archived formulas : 0
% 0.94/2.12 # Current number of archived clauses : 3
% 0.94/2.12 # Clause-clause subsumption calls (NU) : 2172
% 0.94/2.12 # Rec. Clause-clause subsumption calls : 1494
% 0.94/2.12 # Non-unit clause-clause subsumptions : 40
% 0.94/2.12 # Unit Clause-clause subsumption calls : 58
% 0.94/2.12 # Rewrite failures with RHS unbound : 0
% 0.94/2.12 # BW rewrite match attempts : 48
% 0.94/2.12 # BW rewrite match successes : 11
% 0.94/2.12 # Condensation attempts : 0
% 0.94/2.12 # Condensation successes : 0
% 0.94/2.12 # Termbank termtop insertions : 182193
% 0.94/2.12
% 0.94/2.12 # -------------------------------------------------
% 0.94/2.12 # User time : 0.286 s
% 0.94/2.12 # System time : 0.007 s
% 0.94/2.12 # Total time : 0.293 s
% 0.94/2.12 # Maximum resident set size: 14356 pages
% 0.94/24.11 eprover: CPU time limit exceeded, terminating
% 0.94/24.12 eprover: CPU time limit exceeded, terminating
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.18 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.18 eprover: No such file or directory
% 0.94/24.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.19 eprover: No such file or directory
%------------------------------------------------------------------------------