TSTP Solution File: SWV390+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV390+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 18:16:26 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 52 ( 3 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 51 ( 23 ~; 18 |; 4 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 76 ( 13 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax37,axiom,
! [X1,X2,X3,X4,X5] :
( less_than(X5,X4)
=> ( check_cpq(triple(X1,insert_slb(X2,pair(X4,X5)),X3))
<=> check_cpq(triple(X1,X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax37) ).
fof(ax42,axiom,
! [X1,X2,X3,X4] : insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax42) ).
fof(bottom_smallest,axiom,
! [X1] : less_than(bottom,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',bottom_smallest) ).
fof(l26_li4142,lemma,
! [X1,X2,X3] :
( check_cpq(triple(X1,X2,X3))
<=> ! [X4,X5] :
( pair_in_list(X2,X4,X5)
=> less_than(X5,X4) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l26_li4142) ).
fof(l26_co,conjecture,
! [X1,X2,X3] :
( ~ check_cpq(triple(X1,X2,X3))
=> ! [X4] : ~ check_cpq(insert_cpq(triple(X1,X2,X3),X4)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l26_co) ).
fof(c_0_5,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ check_cpq(triple(X6,insert_slb(X7,pair(X9,X10)),X8))
| check_cpq(triple(X6,X7,X8))
| ~ less_than(X10,X9) )
& ( ~ check_cpq(triple(X6,X7,X8))
| check_cpq(triple(X6,insert_slb(X7,pair(X9,X10)),X8))
| ~ less_than(X10,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])]) ).
fof(c_0_6,plain,
! [X5,X6,X7,X8] : insert_cpq(triple(X5,X6,X7),X8) = triple(insert_pqp(X5,X8),insert_slb(X6,pair(X8,bottom)),X7),
inference(variable_rename,[status(thm)],[ax42]) ).
fof(c_0_7,plain,
! [X2] : less_than(bottom,X2),
inference(variable_rename,[status(thm)],[bottom_smallest]) ).
fof(c_0_8,lemma,
! [X6,X7,X8,X9,X10,X6,X7,X8] :
( ( ~ check_cpq(triple(X6,X7,X8))
| ~ pair_in_list(X7,X9,X10)
| less_than(X10,X9) )
& ( pair_in_list(X7,esk1_2(X6,X7),esk2_2(X6,X7))
| check_cpq(triple(X6,X7,X8)) )
& ( ~ less_than(esk2_2(X6,X7),esk1_2(X6,X7))
| check_cpq(triple(X6,X7,X8)) ) ),
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)],[l26_li4142])])])])])])]) ).
cnf(c_0_9,plain,
( check_cpq(triple(X3,X4,X5))
| ~ less_than(X1,X2)
| ~ check_cpq(triple(X3,insert_slb(X4,pair(X2,X1)),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
insert_cpq(triple(X1,X2,X3),X4) = triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
less_than(bottom,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,negated_conjecture,
~ ! [X1,X2,X3] :
( ~ check_cpq(triple(X1,X2,X3))
=> ! [X4] : ~ check_cpq(insert_cpq(triple(X1,X2,X3),X4)) ),
inference(assume_negation,[status(cth)],[l26_co]) ).
cnf(c_0_13,lemma,
( less_than(X1,X2)
| ~ pair_in_list(X3,X2,X1)
| ~ check_cpq(triple(X4,X3,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( check_cpq(triple(insert_pqp(X1,X2),X3,X4))
| ~ check_cpq(insert_cpq(triple(X1,X3,X4),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
fof(c_0_15,negated_conjecture,
( ~ check_cpq(triple(esk3_0,esk4_0,esk5_0))
& check_cpq(insert_cpq(triple(esk3_0,esk4_0,esk5_0),esk6_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_12])])])])])]) ).
cnf(c_0_16,lemma,
( less_than(X1,X2)
| ~ check_cpq(insert_cpq(triple(X3,X4,X5),X6))
| ~ pair_in_list(X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
check_cpq(insert_cpq(triple(esk3_0,esk4_0,esk5_0),esk6_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( less_than(X1,X2)
| ~ pair_in_list(esk4_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,lemma,
( check_cpq(triple(X1,X2,X3))
| pair_in_list(X2,esk1_2(X1,X2),esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,lemma,
( check_cpq(triple(X1,X2,X3))
| ~ less_than(esk2_2(X1,X2),esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
~ check_cpq(triple(esk3_0,esk4_0,esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,lemma,
check_cpq(triple(X1,esk4_0,X2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV390+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.14 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n005.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 : Tue Jun 14 21:50:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.42 # Preprocessing time : 0.017 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 24
% 0.25/1.42 # Proof object clause steps : 13
% 0.25/1.42 # Proof object formula steps : 11
% 0.25/1.42 # Proof object conjectures : 7
% 0.25/1.42 # Proof object clause conjectures : 4
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 8
% 0.25/1.42 # Proof object initial formulas used : 5
% 0.25/1.42 # Proof object generating inferences : 4
% 0.25/1.42 # Proof object simplifying inferences : 5
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 43
% 0.25/1.42 # Removed by relevancy pruning/SinE : 0
% 0.25/1.42 # Initial clauses : 55
% 0.25/1.42 # Removed in clause preprocessing : 2
% 0.25/1.42 # Initial clauses in saturation : 53
% 0.25/1.42 # Processed clauses : 915
% 0.25/1.42 # ...of these trivial : 99
% 0.25/1.42 # ...subsumed : 456
% 0.25/1.42 # ...remaining for further processing : 360
% 0.25/1.42 # Other redundant clauses eliminated : 3
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 1
% 0.25/1.42 # Backward-rewritten : 3
% 0.25/1.42 # Generated clauses : 8501
% 0.25/1.42 # ...of the previous two non-trivial : 7640
% 0.25/1.42 # Contextual simplify-reflections : 17
% 0.25/1.42 # Paramodulations : 8477
% 0.25/1.42 # Factorizations : 16
% 0.25/1.42 # Equation resolutions : 9
% 0.25/1.42 # Current number of processed clauses : 354
% 0.25/1.42 # Positive orientable unit clauses : 78
% 0.25/1.42 # Positive unorientable unit clauses: 13
% 0.25/1.42 # Negative unit clauses : 52
% 0.25/1.42 # Non-unit-clauses : 211
% 0.25/1.42 # Current number of unprocessed clauses: 6739
% 0.25/1.42 # ...number of literals in the above : 27470
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 6
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 5961
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 2302
% 0.25/1.42 # Non-unit clause-clause subsumptions : 57
% 0.25/1.42 # Unit Clause-clause subsumption calls : 3714
% 0.25/1.42 # Rewrite failures with RHS unbound : 140
% 0.25/1.42 # BW rewrite match attempts : 507
% 0.25/1.42 # BW rewrite match successes : 43
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 199218
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.159 s
% 0.25/1.42 # System time : 0.014 s
% 0.25/1.42 # Total time : 0.174 s
% 0.25/1.42 # Maximum resident set size: 10672 pages
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: eprover: CPU time limit exceeded, terminating
% 0.25/23.44 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------