TSTP Solution File: SWV415+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWV415+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 18:16:31 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 24 unt; 0 def)
% Number of atoms : 56 ( 45 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 35 ( 15 ~; 14 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 18 con; 0-3 aty)
% Number of variables : 149 ( 47 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co2,conjecture,
! [X1,X2,X3,X4] : i(insert_cpq(triple(X1,X2,X3),X4)) = insert_pq(i(triple(X1,X2,X3)),X4),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co2) ).
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/sandbox/benchmark/Axioms/SWV007+3.ax',ax42) ).
fof(ax55,axiom,
! [X1,X2,X3,X4,X5] : i(triple(X1,insert_slb(X2,pair(X4,X5)),X3)) = insert_pq(i(triple(X1,X2,X3)),X4),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax55) ).
fof(big2_induction,axiom,
( ( ! [X1,X2,X3,X4] : i(triple(X1,create_slb,X3)) = i(triple(X2,create_slb,X4))
& ! [X5] :
( ! [X6,X7,X8,X9] : i(triple(X6,X5,X8)) = i(triple(X7,X5,X9))
=> ! [X10,X11,X12,X13,X14,X15] : i(triple(X10,insert_slb(X5,pair(X14,X15)),X12)) = i(triple(X11,insert_slb(X5,pair(X14,X15)),X13)) ) )
=> ! [X16,X17,X18,X19,X20] : i(triple(X16,X18,X19)) = i(triple(X17,X18,X20)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',big2_induction) ).
fof(ax54,axiom,
! [X1,X2] : i(triple(X1,create_slb,X2)) = create_pq,
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+4.ax',ax54) ).
fof(ax11,axiom,
! [X1,X2] : remove_pq(insert_pq(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+1.ax',ax11) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X3,X4] : i(insert_cpq(triple(X1,X2,X3),X4)) = insert_pq(i(triple(X1,X2,X3)),X4),
inference(assume_negation,[status(cth)],[co2]) ).
fof(c_0_7,plain,
( ~ epred2_0
<=> ! [X5,X4,X3,X2,X1] : i(triple(X1,X2,X3)) = i(triple(X4,X2,X5)) ),
introduced(definition) ).
fof(c_0_8,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_9,plain,
! [X6,X7,X8,X9,X10] : i(triple(X6,insert_slb(X7,pair(X9,X10)),X8)) = insert_pq(i(triple(X6,X7,X8)),X9),
inference(variable_rename,[status(thm)],[ax55]) ).
fof(c_0_10,plain,
! [X26,X27,X28,X29,X36,X37,X38,X39,X40] :
( ( i(triple(X26,esk9_0,X28)) = i(triple(X27,esk9_0,X29))
| i(triple(esk5_0,create_slb,esk7_0)) != i(triple(esk6_0,create_slb,esk8_0))
| i(triple(X36,X38,X39)) = i(triple(X37,X38,X40)) )
& ( i(triple(esk10_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk12_0)) != i(triple(esk11_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk13_0))
| i(triple(esk5_0,create_slb,esk7_0)) != i(triple(esk6_0,create_slb,esk8_0))
| i(triple(X36,X38,X39)) = i(triple(X37,X38,X40)) ) ),
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)],[big2_induction])])])])])])]) ).
fof(c_0_11,plain,
! [X3,X4] : i(triple(X3,create_slb,X4)) = create_pq,
inference(variable_rename,[status(thm)],[ax54]) ).
fof(c_0_12,negated_conjecture,
i(insert_cpq(triple(esk16_0,esk17_0,esk18_0),esk19_0)) != insert_pq(i(triple(esk16_0,esk17_0,esk18_0)),esk19_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_13,plain,
( i(triple(X1,X2,X3)) = i(triple(X4,X2,X5))
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_7]) ).
cnf(c_0_14,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_8]) ).
cnf(c_0_15,plain,
i(triple(X1,insert_slb(X2,pair(X3,X4)),X5)) = insert_pq(i(triple(X1,X2,X5)),X3),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
! [X3,X4] : remove_pq(insert_pq(X3,X4),X4) = X3,
inference(variable_rename,[status(thm)],[ax11]) ).
fof(c_0_17,plain,
( ~ epred1_0
<=> ! [X9,X8,X7,X6] : i(triple(X6,esk9_0,X7)) = i(triple(X8,esk9_0,X9)) ),
introduced(definition) ).
cnf(c_0_18,plain,
( i(triple(X1,X2,X3)) = i(triple(X4,X2,X5))
| i(triple(X6,esk9_0,X7)) = i(triple(X8,esk9_0,X9))
| i(triple(esk5_0,create_slb,esk7_0)) != i(triple(esk6_0,create_slb,esk8_0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
i(triple(X1,create_slb,X2)) = create_pq,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
i(insert_cpq(triple(esk16_0,esk17_0,esk18_0),esk19_0)) != insert_pq(i(triple(esk16_0,esk17_0,esk18_0)),esk19_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
( insert_pq(i(triple(X1,X2,X3)),X4) = i(insert_cpq(triple(X5,X2,X6),X4))
| epred2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_22,plain,
( insert_pq(i(triple(X1,X2,X3)),X4) = insert_pq(i(triple(X5,X2,X6)),X4)
| epred2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_15]) ).
cnf(c_0_23,plain,
remove_pq(insert_pq(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
insert_pq(i(triple(insert_pqp(X1,X2),X3,X4)),X2) = i(insert_cpq(triple(X1,X3,X4),X2)),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_25,plain,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_19])]),c_0_17]),c_0_7]) ).
cnf(c_0_26,negated_conjecture,
epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_27,plain,
( i(triple(X1,X2,X3)) = i(triple(X4,X2,X5))
| i(triple(esk5_0,create_slb,esk7_0)) != i(triple(esk6_0,create_slb,esk8_0))
| i(triple(esk10_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk12_0)) != i(triple(esk11_0,insert_slb(esk9_0,pair(esk14_0,esk15_0)),esk13_0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,plain,
( i(triple(X1,esk9_0,X2)) = i(triple(X3,esk9_0,X4))
| epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
cnf(c_0_29,plain,
i(triple(insert_pqp(X1,X2),X3,X4)) = remove_pq(i(insert_cpq(triple(X1,X3,X4),X2)),X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_31,plain,
( i(triple(X1,X2,X3)) = i(triple(X4,X2,X5))
| insert_pq(i(triple(esk10_0,esk9_0,esk12_0)),esk14_0) != insert_pq(i(triple(esk11_0,esk9_0,esk13_0)),esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_19]),c_0_19]),c_0_15]),c_0_15])]) ).
cnf(c_0_32,plain,
remove_pq(i(insert_cpq(triple(X1,esk9_0,X2),X3)),X3) = i(triple(X4,esk9_0,X5)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_33,plain,
i(triple(X1,X2,X3)) = i(triple(X4,X2,X5)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).
cnf(c_0_34,plain,
insert_pq(i(triple(X1,X2,X3)),X4) = i(insert_cpq(triple(X5,X2,X6),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_14]),c_0_15]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_20,c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV415+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n012.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 : Wed Jun 15 07:37:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.43 # Preprocessing time : 0.020 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 36
% 0.25/1.43 # Proof object clause steps : 21
% 0.25/1.43 # Proof object formula steps : 15
% 0.25/1.43 # Proof object conjectures : 6
% 0.25/1.43 # Proof object clause conjectures : 3
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 9
% 0.25/1.43 # Proof object initial formulas used : 6
% 0.25/1.43 # Proof object generating inferences : 8
% 0.25/1.43 # Proof object simplifying inferences : 19
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 64
% 0.25/1.43 # Removed by relevancy pruning/SinE : 0
% 0.25/1.43 # Initial clauses : 89
% 0.25/1.43 # Removed in clause preprocessing : 2
% 0.25/1.43 # Initial clauses in saturation : 87
% 0.25/1.43 # Processed clauses : 2625
% 0.25/1.43 # ...of these trivial : 261
% 0.25/1.43 # ...subsumed : 1552
% 0.25/1.43 # ...remaining for further processing : 812
% 0.25/1.43 # Other redundant clauses eliminated : 4
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 8
% 0.25/1.43 # Backward-rewritten : 19
% 0.25/1.43 # Generated clauses : 39195
% 0.25/1.43 # ...of the previous two non-trivial : 36758
% 0.25/1.43 # Contextual simplify-reflections : 45
% 0.25/1.43 # Paramodulations : 39046
% 0.25/1.43 # Factorizations : 116
% 0.25/1.43 # Equation resolutions : 6
% 0.25/1.43 # Current number of processed clauses : 769
% 0.25/1.43 # Positive orientable unit clauses : 158
% 0.25/1.43 # Positive unorientable unit clauses: 35
% 0.25/1.43 # Negative unit clauses : 135
% 0.25/1.43 # Non-unit-clauses : 441
% 0.25/1.43 # Current number of unprocessed clauses: 32820
% 0.25/1.43 # ...number of literals in the above : 121720
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 33
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 46485
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 22784
% 0.25/1.43 # Non-unit clause-clause subsumptions : 172
% 0.25/1.43 # Unit Clause-clause subsumption calls : 22856
% 0.25/1.43 # Rewrite failures with RHS unbound : 215
% 0.25/1.43 # BW rewrite match attempts : 2966
% 0.25/1.43 # BW rewrite match successes : 340
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 848482
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.656 s
% 0.25/1.43 # System time : 0.016 s
% 0.25/1.43 # Total time : 0.672 s
% 0.25/1.43 # Maximum resident set size: 34844 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------