TSTP Solution File: SWW326+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW326+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 00:10:34 EDT 2022
% Result : Theorem 0.96s 2.14s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 96 ( 41 ~; 34 |; 9 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 4 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_2,conjecture,
( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) )
=> ! [X27,X28] :
( v_P(X27,X28)
=> ! [X29] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X28,v_n,X29)
=> ( v_P(X27,X29)
& ~ hBOOL(hAPP(v_b,X29)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_2) ).
fof(conj_1,hypothesis,
! [X28,X29] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X28,v_n,X29)
=> ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) )
=> ! [X27] :
( v_P(X27,X28)
=> ( v_P(X27,X29)
& ~ hBOOL(hAPP(v_b,X29)) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(c_0_2,negated_conjecture,
~ ( ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) )
=> ! [X27,X28] :
( v_P(X27,X28)
=> ! [X29] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X28,v_n,X29)
=> ( v_P(X27,X29)
& ~ hBOOL(hAPP(v_b,X29)) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_2]) ).
fof(c_0_3,hypothesis,
! [X30,X31,X33] :
( ( v_P(X33,X31)
| ~ v_P(X33,X30)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X30,X31)),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X30,v_n,X31) )
& ( ~ hBOOL(hAPP(v_b,X31))
| ~ v_P(X33,X30)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X30,X31)),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X30,v_n,X31) )
& ( v_P(X33,X31)
| ~ v_P(X33,X30)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X30,X31))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X30,v_n,X31) )
& ( ~ hBOOL(hAPP(v_b,X31))
| ~ v_P(X33,X30)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X30,X31))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X30,v_n,X31) ) ),
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)],[inference(fof_simplification,[status(thm)],[conj_1])])])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X30] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X30),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X30) )
& v_P(esk3_0,esk4_0)
& c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,esk5_0)
& ( ~ v_P(esk3_0,esk5_0)
| hBOOL(hAPP(v_b,esk5_0)) ) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])])]) ).
cnf(c_0_5,hypothesis,
( ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X1,v_n,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X1,X2))
| ~ v_P(X3,X1)
| ~ hBOOL(hAPP(v_b,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X1,X2)),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X1,v_n,X2)
| ~ v_P(X3,X1)
| ~ hBOOL(hAPP(v_b,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,hypothesis,
( v_P(X3,X2)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X1,v_n,X2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,esk2_2(X1,X2))
| ~ v_P(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,hypothesis,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),esk2_2(X1,X2)),v_G))
| v_P(X3,X2)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X1,v_n,X2)
| ~ v_P(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( ~ v_P(X1,X2)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X2,v_n,X3)
| ~ hBOOL(hAPP(v_b,X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_11,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),esk4_0,v_n,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( v_P(X1,X2)
| ~ v_P(X1,X3)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X3,v_n,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_6]),c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( ~ v_P(X1,esk4_0)
| ~ hBOOL(hAPP(v_b,esk5_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
v_P(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( hBOOL(hAPP(v_b,esk5_0))
| ~ v_P(esk3_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( v_P(X1,esk5_0)
| ~ v_P(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
~ hBOOL(hAPP(v_b,esk5_0)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW326+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 5 17:24:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.96/2.14 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.96/2.14 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.96/2.14 # Preprocessing time : 0.253 s
% 0.96/2.14
% 0.96/2.14 # Proof found!
% 0.96/2.14 # SZS status Theorem
% 0.96/2.14 # SZS output start CNFRefutation
% See solution above
% 0.96/2.14 # Proof object total steps : 19
% 0.96/2.14 # Proof object clause steps : 14
% 0.96/2.14 # Proof object formula steps : 5
% 0.96/2.14 # Proof object conjectures : 13
% 0.96/2.14 # Proof object clause conjectures : 10
% 0.96/2.14 # Proof object formula conjectures : 3
% 0.96/2.14 # Proof object initial clauses used : 8
% 0.96/2.14 # Proof object initial formulas used : 2
% 0.96/2.14 # Proof object generating inferences : 6
% 0.96/2.14 # Proof object simplifying inferences : 5
% 0.96/2.14 # Training examples: 0 positive, 0 negative
% 0.96/2.14 # Parsed axioms : 5207
% 0.96/2.14 # Removed by relevancy pruning/SinE : 5106
% 0.96/2.14 # Initial clauses : 172
% 0.96/2.14 # Removed in clause preprocessing : 18
% 0.96/2.14 # Initial clauses in saturation : 154
% 0.96/2.14 # Processed clauses : 297
% 0.96/2.14 # ...of these trivial : 5
% 0.96/2.14 # ...subsumed : 95
% 0.96/2.14 # ...remaining for further processing : 197
% 0.96/2.14 # Other redundant clauses eliminated : 2
% 0.96/2.14 # Clauses deleted for lack of memory : 0
% 0.96/2.14 # Backward-subsumed : 6
% 0.96/2.14 # Backward-rewritten : 2
% 0.96/2.14 # Generated clauses : 861
% 0.96/2.14 # ...of the previous two non-trivial : 802
% 0.96/2.14 # Contextual simplify-reflections : 13
% 0.96/2.14 # Paramodulations : 855
% 0.96/2.14 # Factorizations : 0
% 0.96/2.14 # Equation resolutions : 6
% 0.96/2.14 # Current number of processed clauses : 187
% 0.96/2.14 # Positive orientable unit clauses : 26
% 0.96/2.14 # Positive unorientable unit clauses: 5
% 0.96/2.14 # Negative unit clauses : 17
% 0.96/2.14 # Non-unit-clauses : 139
% 0.96/2.14 # Current number of unprocessed clauses: 652
% 0.96/2.14 # ...number of literals in the above : 1840
% 0.96/2.14 # Current number of archived formulas : 0
% 0.96/2.14 # Current number of archived clauses : 8
% 0.96/2.14 # Clause-clause subsumption calls (NU) : 3159
% 0.96/2.14 # Rec. Clause-clause subsumption calls : 2514
% 0.96/2.14 # Non-unit clause-clause subsumptions : 74
% 0.96/2.14 # Unit Clause-clause subsumption calls : 143
% 0.96/2.14 # Rewrite failures with RHS unbound : 26
% 0.96/2.14 # BW rewrite match attempts : 116
% 0.96/2.14 # BW rewrite match successes : 8
% 0.96/2.14 # Condensation attempts : 0
% 0.96/2.14 # Condensation successes : 0
% 0.96/2.14 # Termbank termtop insertions : 162954
% 0.96/2.14
% 0.96/2.14 # -------------------------------------------------
% 0.96/2.14 # User time : 0.272 s
% 0.96/2.14 # System time : 0.011 s
% 0.96/2.14 # Total time : 0.283 s
% 0.96/2.14 # Maximum resident set size: 14356 pages
% 0.96/24.13 eprover: CPU time limit exceeded, terminating
% 0.96/24.14 eprover: CPU time limit exceeded, terminating
% 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: eprover: No such file or directory
% 0.96/24.16 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.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.mepo_128.in
% 0.96/24.16 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
% 0.96/24.18 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
% 0.96/24.18 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
% 0.96/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.19 eprover: No such file or directory
% 0.96/24.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.96/24.19 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
% 0.96/24.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.20 eprover: No such file or directory
% 0.96/24.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.21 eprover: No such file or directory
% 0.96/24.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.21 eprover: No such file or directory
% 0.96/24.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.96/24.22 eprover: No such file or directory
%------------------------------------------------------------------------------