TSTP Solution File: SET753+4 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET753+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 00:53:45 EDT 2022
% Result : Theorem 0.57s 51.73s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 3 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 86 ( 32 ~; 33 |; 15 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 99 ( 12 sgn 37 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',image2) ).
fof(intersection,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(thIIa03,conjecture,
! [X6,X1,X2,X3,X5] :
( ( maps(X6,X1,X2)
& subset(X3,X1)
& subset(X5,X1) )
=> subset(image2(X6,intersection(X3,X5)),intersection(image2(X6,X3),image2(X6,X5))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',thIIa03) ).
fof(c_0_4,plain,
! [X7,X8,X9,X7,X8,X9,X11] :
( ( member(esk7_3(X7,X8,X9),X8)
| ~ member(X9,image2(X7,X8)) )
& ( apply(X7,esk7_3(X7,X8,X9),X9)
| ~ member(X9,image2(X7,X8)) )
& ( ~ member(X11,X8)
| ~ apply(X7,X11,X9)
| member(X9,image2(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)],[image2])])])])])])]) ).
fof(c_0_5,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( member(X4,X5)
| ~ member(X4,intersection(X5,X6)) )
& ( member(X4,X6)
| ~ member(X4,intersection(X5,X6)) )
& ( ~ member(X4,X5)
| ~ member(X4,X6)
| member(X4,intersection(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)],[intersection])])])])]) ).
cnf(c_0_6,plain,
( member(X1,image2(X2,X3))
| ~ apply(X2,X4,X1)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( apply(X2,esk7_3(X2,X3,X1),X1)
| ~ member(X1,image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( member(esk7_3(X2,X3,X1),X3)
| ~ member(X1,image2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_10,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk6_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk6_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_11,plain,
( member(X1,image2(X2,X3))
| ~ member(esk7_3(X2,X4,X1),X3)
| ~ member(X1,image2(X2,X4)) ),
inference(pm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,plain,
( member(esk7_3(X1,intersection(X2,X3),X4),X3)
| ~ member(X4,image2(X1,intersection(X2,X3))) ),
inference(pm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( subset(X1,X2)
| ~ member(esk6_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( member(X1,image2(X2,X3))
| ~ member(X1,image2(X2,intersection(X4,X3))) ),
inference(pm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( subset(X1,X2)
| member(esk6_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( member(esk7_3(X1,intersection(X2,X3),X4),X2)
| ~ member(X4,image2(X1,intersection(X2,X3))) ),
inference(pm,[status(thm)],[c_0_13,c_0_9]) ).
fof(c_0_19,negated_conjecture,
~ ! [X6,X1,X2,X3,X5] :
( ( maps(X6,X1,X2)
& subset(X3,X1)
& subset(X5,X1) )
=> subset(image2(X6,intersection(X3,X5)),intersection(image2(X6,X3),image2(X6,X5))) ),
inference(assume_negation,[status(cth)],[thIIa03]) ).
cnf(c_0_20,plain,
( subset(X1,intersection(X2,X3))
| ~ member(esk6_2(X1,intersection(X2,X3)),X3)
| ~ member(esk6_2(X1,intersection(X2,X3)),X2) ),
inference(pm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( member(esk6_2(image2(X1,intersection(X2,X3)),X4),image2(X1,X3))
| subset(image2(X1,intersection(X2,X3)),X4) ),
inference(pm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( member(X1,image2(X2,X3))
| ~ member(X1,image2(X2,intersection(X3,X4))) ),
inference(pm,[status(thm)],[c_0_11,c_0_18]) ).
fof(c_0_23,negated_conjecture,
( maps(esk1_0,esk2_0,esk3_0)
& subset(esk4_0,esk2_0)
& subset(esk5_0,esk2_0)
& ~ subset(image2(esk1_0,intersection(esk4_0,esk5_0)),intersection(image2(esk1_0,esk4_0),image2(esk1_0,esk5_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_24,plain,
( subset(image2(X1,intersection(X2,X3)),intersection(X4,image2(X1,X3)))
| ~ member(esk6_2(image2(X1,intersection(X2,X3)),intersection(X4,image2(X1,X3))),X4) ),
inference(pm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( member(esk6_2(image2(X1,intersection(X2,X3)),X4),image2(X1,X2))
| subset(image2(X1,intersection(X2,X3)),X4) ),
inference(pm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
~ subset(image2(esk1_0,intersection(esk4_0,esk5_0)),intersection(image2(esk1_0,esk4_0),image2(esk1_0,esk5_0))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
subset(image2(X1,intersection(X2,X3)),intersection(image2(X1,X2),image2(X1,X3))),
inference(pm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET753+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 07:53:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.39/23.41 eprover: CPU time limit exceeded, terminating
% 0.39/23.42 eprover: CPU time limit exceeded, terminating
% 0.39/23.45 eprover: CPU time limit exceeded, terminating
% 0.39/23.46 eprover: CPU time limit exceeded, terminating
% 0.53/46.45 eprover: CPU time limit exceeded, terminating
% 0.53/46.46 eprover: CPU time limit exceeded, terminating
% 0.53/46.47 eprover: CPU time limit exceeded, terminating
% 0.53/46.47 eprover: CPU time limit exceeded, terminating
% 0.57/51.73 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.57/51.73
% 0.57/51.73 # Failure: Resource limit exceeded (time)
% 0.57/51.73 # OLD status Res
% 0.57/51.73 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.57/51.73 # Preprocessing time : 0.016 s
% 0.57/51.73 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.57/51.73
% 0.57/51.73 # Failure: Resource limit exceeded (time)
% 0.57/51.73 # OLD status Res
% 0.57/51.73 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.57/51.73 # Preprocessing time : 0.016 s
% 0.57/51.73 # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.57/51.73 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.57/51.73 # Preprocessing time : 0.022 s
% 0.57/51.73
% 0.57/51.73 # Proof found!
% 0.57/51.73 # SZS status Theorem
% 0.57/51.73 # SZS output start CNFRefutation
% See solution above
% 0.57/51.73 # Proof object total steps : 29
% 0.57/51.73 # Proof object clause steps : 20
% 0.57/51.73 # Proof object formula steps : 9
% 0.57/51.73 # Proof object conjectures : 5
% 0.57/51.73 # Proof object clause conjectures : 2
% 0.57/51.73 # Proof object formula conjectures : 3
% 0.57/51.73 # Proof object initial clauses used : 9
% 0.57/51.73 # Proof object initial formulas used : 4
% 0.57/51.73 # Proof object generating inferences : 10
% 0.57/51.73 # Proof object simplifying inferences : 2
% 0.57/51.73 # Training examples: 0 positive, 0 negative
% 0.57/51.73 # Parsed axioms : 29
% 0.57/51.73 # Removed by relevancy pruning/SinE : 24
% 0.57/51.73 # Initial clauses : 28
% 0.57/51.73 # Removed in clause preprocessing : 0
% 0.57/51.73 # Initial clauses in saturation : 28
% 0.57/51.73 # Processed clauses : 19123
% 0.57/51.73 # ...of these trivial : 48
% 0.57/51.73 # ...subsumed : 6186
% 0.57/51.73 # ...remaining for further processing : 12889
% 0.57/51.73 # Other redundant clauses eliminated : 0
% 0.57/51.73 # Clauses deleted for lack of memory : 60141
% 0.57/51.73 # Backward-subsumed : 77
% 0.57/51.73 # Backward-rewritten : 53
% 0.57/51.73 # Generated clauses : 150719
% 0.57/51.73 # ...of the previous two non-trivial : 149111
% 0.57/51.73 # Contextual simplify-reflections : 2415
% 0.57/51.73 # Paramodulations : 150719
% 0.57/51.73 # Factorizations : 0
% 0.57/51.73 # Equation resolutions : 0
% 0.57/51.73 # Current number of processed clauses : 12759
% 0.57/51.73 # Positive orientable unit clauses : 8091
% 0.57/51.73 # Positive unorientable unit clauses: 0
% 0.57/51.73 # Negative unit clauses : 0
% 0.57/51.73 # Non-unit-clauses : 4668
% 0.57/51.73 # Current number of unprocessed clauses: 69875
% 0.57/51.73 # ...number of literals in the above : 204300
% 0.57/51.73 # Current number of archived formulas : 0
% 0.57/51.73 # Current number of archived clauses : 130
% 0.57/51.73 # Clause-clause subsumption calls (NU) : 2017459
% 0.57/51.73 # Rec. Clause-clause subsumption calls : 1278227
% 0.57/51.73 # Non-unit clause-clause subsumptions : 8678
% 0.57/51.73 # Unit Clause-clause subsumption calls : 2585184
% 0.57/51.73 # Rewrite failures with RHS unbound : 0
% 0.57/51.73 # BW rewrite match attempts : 2490341
% 0.57/51.73 # BW rewrite match successes : 53
% 0.57/51.73 # Condensation attempts : 0
% 0.57/51.73 # Condensation successes : 0
% 0.57/51.73 # Termbank termtop insertions : 2226081
% 0.57/51.73
% 0.57/51.73 # -------------------------------------------------
% 0.57/51.73 # User time : 4.414 s
% 0.57/51.73 # System time : 0.115 s
% 0.57/51.73 # Total time : 4.529 s
% 0.57/51.73 # Maximum resident set size: 154412 pages
% 0.57/69.48 eprover: CPU time limit exceeded, terminating
% 0.57/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.51 eprover: No such file or directory
% 0.57/69.51 eprover: CPU time limit exceeded, terminating
% 0.57/69.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.51 eprover: No such file or directory
% 0.57/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.52 eprover: No such file or directory
% 0.57/69.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.52 eprover: No such file or directory
% 0.57/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.53 eprover: No such file or directory
% 0.57/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.53 eprover: No such file or directory
% 0.57/69.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.53 eprover: No such file or directory
% 0.57/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.54 eprover: No such file or directory
% 0.57/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.54 eprover: No such file or directory
% 0.57/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.54 eprover: No such file or directory
% 0.57/69.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.54 eprover: No such file or directory
% 0.57/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.55 eprover: No such file or directory
% 0.57/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.55 eprover: No such file or directory
% 0.57/69.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/69.55 eprover: No such file or directory
% 0.57/69.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.56 eprover: No such file or directory
% 0.57/69.56 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.56 eprover: No such file or directory
% 0.57/69.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.57 eprover: No such file or directory
% 0.57/69.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.57/69.57 eprover: No such file or directory
% 0.57/72.55 eprover: CPU time limit exceeded, terminating
% 0.57/72.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/72.57 eprover: No such file or directory
% 0.57/72.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/72.57 eprover: No such file or directory
% 0.57/72.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/72.57 eprover: No such file or directory
% 0.57/72.57 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/72.57 eprover: No such file or directory
% 0.57/72.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/72.58 eprover: No such file or directory
% 0.57/72.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/72.58 eprover: No such file or directory
% 0.57/72.58 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/72.58 eprover: No such file or directory
% 0.57/72.59 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.57/72.59 eprover: No such file or directory
%------------------------------------------------------------------------------