TSTP Solution File: SWV376+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 : Wed Jul 20 18:16:23 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 67 ( 6 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 76 ( 35 ~; 25 |; 4 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 78 ( 4 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l12_co,conjecture,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> ! [X4,X5,X6] :
( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
=> ~ ok(triple(X4,X5,X6)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l12_co) ).
fof(ax41,axiom,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> X3 = bad ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax41) ).
fof(l12_induction,axiom,
( ! [X1,X2,X3,X4,X5,X6] :
( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
=> ( ~ ok(triple(X4,X5,X6))
=> ~ ok(im_succ_cpq(triple(X4,X5,X6))) ) )
=> ! [X7,X8,X9] :
( ~ ok(triple(X7,X8,X9))
=> ! [X10,X11,X12] :
( succ_cpq(triple(X7,X8,X9),triple(X10,X11,X12))
=> ~ ok(triple(X10,X11,X12)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l12_induction) ).
fof(ax40,axiom,
! [X1,X2] :
( ok(triple(X1,X2,bad))
<=> ~ $true ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+3.ax',ax40) ).
fof(l12_l13,lemma,
! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l12_l13) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X3] :
( ~ ok(triple(X1,X2,X3))
=> ! [X4,X5,X6] :
( succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6))
=> ~ ok(triple(X4,X5,X6)) ) ),
inference(assume_negation,[status(cth)],[l12_co]) ).
fof(c_0_6,negated_conjecture,
( ~ ok(triple(esk7_0,esk8_0,esk9_0))
& succ_cpq(triple(esk7_0,esk8_0,esk9_0),triple(esk10_0,esk11_0,esk12_0))
& ok(triple(esk10_0,esk11_0,esk12_0)) ),
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_5])])])])])]) ).
fof(c_0_7,plain,
! [X4,X5,X6] :
( ok(triple(X4,X5,X6))
| X6 = bad ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax41])])]) ).
fof(c_0_8,plain,
! [X19,X20,X21,X22,X23,X24] :
( ( succ_cpq(triple(esk1_0,esk2_0,esk3_0),triple(esk4_0,esk5_0,esk6_0))
| ok(triple(X19,X20,X21))
| ~ succ_cpq(triple(X19,X20,X21),triple(X22,X23,X24))
| ~ ok(triple(X22,X23,X24)) )
& ( ~ ok(triple(esk4_0,esk5_0,esk6_0))
| ok(triple(X19,X20,X21))
| ~ succ_cpq(triple(X19,X20,X21),triple(X22,X23,X24))
| ~ ok(triple(X22,X23,X24)) )
& ( ok(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0)))
| ok(triple(X19,X20,X21))
| ~ succ_cpq(triple(X19,X20,X21),triple(X22,X23,X24))
| ~ ok(triple(X22,X23,X24)) ) ),
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)],[l12_induction])])])])])])])]) ).
cnf(c_0_9,negated_conjecture,
~ ok(triple(esk7_0,esk8_0,esk9_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( X1 = bad
| ok(triple(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ok(triple(X4,X5,X6))
| ~ ok(triple(X1,X2,X3))
| ~ succ_cpq(triple(X4,X5,X6),triple(X1,X2,X3))
| ~ ok(triple(esk4_0,esk5_0,esk6_0)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
succ_cpq(triple(esk7_0,esk8_0,esk9_0),triple(esk10_0,esk11_0,esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
esk9_0 = bad,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_14,plain,
! [X3,X4] : ~ ok(triple(X3,X4,bad)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax40])]) ).
cnf(c_0_15,plain,
( esk6_0 = bad
| ok(triple(X1,X2,X3))
| ~ ok(triple(X4,X5,X6))
| ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
succ_cpq(triple(esk7_0,esk8_0,bad),triple(esk10_0,esk11_0,esk12_0)),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
ok(triple(esk10_0,esk11_0,esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,plain,
~ ok(triple(X1,X2,bad)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( ok(triple(X4,X5,X6))
| ok(im_succ_cpq(triple(esk4_0,esk5_0,esk6_0)))
| ~ ok(triple(X1,X2,X3))
| ~ succ_cpq(triple(X4,X5,X6),triple(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
esk6_0 = bad,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]) ).
fof(c_0_21,lemma,
! [X4,X5,X6] :
( ok(triple(X4,X5,X6))
| ~ ok(im_succ_cpq(triple(X4,X5,X6))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[l12_l13])])]) ).
cnf(c_0_22,plain,
( ok(im_succ_cpq(triple(esk4_0,esk5_0,bad)))
| ok(triple(X1,X2,X3))
| ~ ok(triple(X4,X5,X6))
| ~ succ_cpq(triple(X1,X2,X3),triple(X4,X5,X6)) ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,lemma,
( ok(triple(X1,X2,X3))
| ~ ok(im_succ_cpq(triple(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,negated_conjecture,
ok(im_succ_cpq(triple(esk4_0,esk5_0,bad))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_16]),c_0_17])]),c_0_18]) ).
cnf(c_0_25,lemma,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 20:36:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.42 # Preprocessing time : 0.019 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 26
% 0.24/1.42 # Proof object clause steps : 15
% 0.24/1.42 # Proof object formula steps : 11
% 0.24/1.42 # Proof object conjectures : 10
% 0.24/1.42 # Proof object clause conjectures : 7
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 8
% 0.24/1.42 # Proof object initial formulas used : 5
% 0.24/1.42 # Proof object generating inferences : 5
% 0.24/1.42 # Proof object simplifying inferences : 9
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 44
% 0.24/1.42 # Removed by relevancy pruning/SinE : 0
% 0.24/1.42 # Initial clauses : 57
% 0.24/1.42 # Removed in clause preprocessing : 2
% 0.24/1.42 # Initial clauses in saturation : 55
% 0.24/1.42 # Processed clauses : 374
% 0.24/1.42 # ...of these trivial : 23
% 0.24/1.42 # ...subsumed : 148
% 0.24/1.42 # ...remaining for further processing : 203
% 0.24/1.42 # Other redundant clauses eliminated : 3
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 1
% 0.24/1.42 # Backward-rewritten : 9
% 0.24/1.42 # Generated clauses : 2841
% 0.24/1.42 # ...of the previous two non-trivial : 2599
% 0.24/1.42 # Contextual simplify-reflections : 9
% 0.24/1.42 # Paramodulations : 2831
% 0.24/1.42 # Factorizations : 8
% 0.24/1.42 # Equation resolutions : 3
% 0.24/1.42 # Current number of processed clauses : 191
% 0.24/1.42 # Positive orientable unit clauses : 51
% 0.24/1.42 # Positive unorientable unit clauses: 4
% 0.24/1.42 # Negative unit clauses : 34
% 0.24/1.42 # Non-unit-clauses : 102
% 0.24/1.42 # Current number of unprocessed clauses: 2164
% 0.24/1.42 # ...number of literals in the above : 9026
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 12
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 2471
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 998
% 0.24/1.42 # Non-unit clause-clause subsumptions : 29
% 0.24/1.42 # Unit Clause-clause subsumption calls : 1415
% 0.24/1.42 # Rewrite failures with RHS unbound : 27
% 0.24/1.42 # BW rewrite match attempts : 211
% 0.24/1.42 # BW rewrite match successes : 15
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 65707
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.087 s
% 0.24/1.42 # System time : 0.005 s
% 0.24/1.42 # Total time : 0.092 s
% 0.24/1.42 # Maximum resident set size: 5680 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------