TSTP Solution File: SET694+4 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET694+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 : Tue Jul 19 00:53:12 EDT 2022
% Result : Theorem 0.43s 43.60s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 74 ( 27 ~; 38 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 93 ( 15 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(power_set,axiom,
! [X3,X1] :
( member(X3,power_set(X1))
<=> subset(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',power_set) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(union,axiom,
! [X3,X1,X2] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',union) ).
fof(thI22,conjecture,
! [X1,X2] : subset(union(power_set(X1),power_set(X2)),power_set(union(X1,X2))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thI22) ).
fof(c_0_4,plain,
! [X4,X5,X4,X5] :
( ( ~ member(X4,power_set(X5))
| subset(X4,X5) )
& ( ~ subset(X4,X5)
| member(X4,power_set(X5)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[power_set])])])]) ).
fof(c_0_5,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk3_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk3_2(X4,X5),X5)
| subset(X4,X5) ) ),
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)],[subset])])])])])])]) ).
cnf(c_0_6,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ member(X4,union(X5,X6))
| member(X4,X5)
| member(X4,X6) )
& ( ~ member(X4,X5)
| member(X4,union(X5,X6)) )
& ( ~ member(X4,X6)
| member(X4,union(X5,X6)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])])])]) ).
cnf(c_0_9,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( subset(esk3_2(power_set(X1),X2),X1)
| subset(power_set(X1),X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( member(X1,X2)
| subset(power_set(X2),X3)
| ~ member(X1,esk3_2(power_set(X2),X3)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( subset(X1,union(X2,X3))
| ~ member(esk3_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( member(esk3_2(esk3_2(power_set(X1),X2),X3),X1)
| subset(esk3_2(power_set(X1),X2),X3)
| subset(power_set(X1),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_18,plain,
( subset(X1,union(X2,X3))
| ~ member(esk3_2(X1,union(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_19,plain,
( subset(X1,power_set(X2))
| ~ subset(esk3_2(X1,power_set(X2)),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_20,plain,
( subset(esk3_2(power_set(X1),X2),union(X3,X1))
| subset(power_set(X1),X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( subset(esk3_2(power_set(X1),X2),union(X1,X3))
| subset(power_set(X1),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_22,plain,
subset(power_set(X1),power_set(union(X2,X1))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
subset(power_set(X1),power_set(union(X1,X2))),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_24,plain,
( member(X1,power_set(union(X2,X3)))
| ~ member(X1,power_set(X3)) ),
inference(spm,[status(thm)],[c_0_9,c_0_22]) ).
cnf(c_0_25,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_26,negated_conjecture,
~ ! [X1,X2] : subset(union(power_set(X1),power_set(X2)),power_set(union(X1,X2))),
inference(assume_negation,[status(cth)],[thI22]) ).
cnf(c_0_27,plain,
( member(X1,power_set(union(X2,X3)))
| ~ member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_23]) ).
cnf(c_0_28,plain,
( subset(X1,power_set(union(X2,X3)))
| ~ member(esk3_2(X1,power_set(union(X2,X3))),power_set(X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_24]) ).
cnf(c_0_29,plain,
( member(esk3_2(union(X1,X2),X3),X1)
| member(esk3_2(union(X1,X2),X3),X2)
| subset(union(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_7]) ).
fof(c_0_30,negated_conjecture,
~ subset(union(power_set(esk1_0),power_set(esk2_0)),power_set(union(esk1_0,esk2_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
cnf(c_0_31,plain,
( subset(X1,power_set(union(X2,X3)))
| ~ member(esk3_2(X1,power_set(union(X2,X3))),power_set(X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_27]) ).
cnf(c_0_32,plain,
( member(esk3_2(union(X1,power_set(X2)),power_set(union(X3,X2))),X1)
| subset(union(X1,power_set(X2)),power_set(union(X3,X2))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
~ subset(union(power_set(esk1_0),power_set(esk2_0)),power_set(union(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
subset(union(power_set(X1),power_set(X2)),power_set(union(X1,X2))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET694+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 09:15:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.41 eprover: CPU time limit exceeded, terminating
% 0.43/43.60 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.43/43.60
% 0.43/43.60 # Failure: Resource limit exceeded (time)
% 0.43/43.60 # OLD status Res
% 0.43/43.60 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.43/43.60 # Preprocessing time : 0.014 s
% 0.43/43.60 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.43/43.60 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.43/43.60 # Preprocessing time : 0.007 s
% 0.43/43.60
% 0.43/43.60 # Proof found!
% 0.43/43.60 # SZS status Theorem
% 0.43/43.60 # SZS output start CNFRefutation
% See solution above
% 0.43/43.61 # Proof object total steps : 36
% 0.43/43.61 # Proof object clause steps : 27
% 0.43/43.61 # Proof object formula steps : 9
% 0.43/43.61 # Proof object conjectures : 5
% 0.43/43.61 # Proof object clause conjectures : 2
% 0.43/43.61 # Proof object formula conjectures : 3
% 0.43/43.61 # Proof object initial clauses used : 9
% 0.43/43.61 # Proof object initial formulas used : 4
% 0.43/43.61 # Proof object generating inferences : 17
% 0.43/43.61 # Proof object simplifying inferences : 2
% 0.43/43.61 # Training examples: 0 positive, 0 negative
% 0.43/43.61 # Parsed axioms : 12
% 0.43/43.61 # Removed by relevancy pruning/SinE : 8
% 0.43/43.61 # Initial clauses : 9
% 0.43/43.61 # Removed in clause preprocessing : 0
% 0.43/43.61 # Initial clauses in saturation : 9
% 0.43/43.61 # Processed clauses : 19750
% 0.43/43.61 # ...of these trivial : 887
% 0.43/43.61 # ...subsumed : 10430
% 0.43/43.61 # ...remaining for further processing : 8433
% 0.43/43.61 # Other redundant clauses eliminated : 0
% 0.43/43.61 # Clauses deleted for lack of memory : 902630
% 0.43/43.61 # Backward-subsumed : 0
% 0.43/43.61 # Backward-rewritten : 1
% 0.43/43.61 # Generated clauses : 1031735
% 0.43/43.61 # ...of the previous two non-trivial : 1029651
% 0.43/43.61 # Contextual simplify-reflections : 20
% 0.43/43.61 # Paramodulations : 1030605
% 0.43/43.61 # Factorizations : 1130
% 0.43/43.61 # Equation resolutions : 0
% 0.43/43.61 # Current number of processed clauses : 8432
% 0.43/43.61 # Positive orientable unit clauses : 6217
% 0.43/43.61 # Positive unorientable unit clauses: 0
% 0.43/43.61 # Negative unit clauses : 4
% 0.43/43.61 # Non-unit-clauses : 2211
% 0.43/43.61 # Current number of unprocessed clauses: 107280
% 0.43/43.61 # ...number of literals in the above : 231418
% 0.43/43.61 # Current number of archived formulas : 0
% 0.43/43.61 # Current number of archived clauses : 1
% 0.43/43.61 # Clause-clause subsumption calls (NU) : 1235575
% 0.43/43.61 # Rec. Clause-clause subsumption calls : 761249
% 0.43/43.61 # Non-unit clause-clause subsumptions : 10450
% 0.43/43.61 # Unit Clause-clause subsumption calls : 1682386
% 0.43/43.61 # Rewrite failures with RHS unbound : 0
% 0.43/43.61 # BW rewrite match attempts : 3088642
% 0.43/43.61 # BW rewrite match successes : 1
% 0.43/43.61 # Condensation attempts : 0
% 0.43/43.61 # Condensation successes : 0
% 0.43/43.61 # Termbank termtop insertions : 35160854
% 0.43/43.61
% 0.43/43.61 # -------------------------------------------------
% 0.43/43.61 # User time : 19.889 s
% 0.43/43.61 # System time : 0.124 s
% 0.43/43.61 # Total time : 20.013 s
% 0.43/43.61 # Maximum resident set size: 154172 pages
% 0.43/46.42 eprover: CPU time limit exceeded, terminating
% 0.43/46.42 eprover: CPU time limit exceeded, terminating
% 0.43/46.42 eprover: CPU time limit exceeded, terminating
% 0.43/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.44 eprover: No such file or directory
% 0.43/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.44 eprover: No such file or directory
% 0.43/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.44 eprover: No such file or directory
% 0.43/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.44 eprover: No such file or directory
% 0.43/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.44 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.45 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.46 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.47 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.48 eprover: No such file or directory
% 0.43/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.49 eprover: No such file or directory
%------------------------------------------------------------------------------