%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET702+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 00:53:14 EDT 2022
% Result : Theorem 0.26s 1.43s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 65 ( 22 ~; 31 |; 7 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 75 ( 13 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(product,axiom,
! [X3,X1] :
( member(X3,product(X1))
<=> ! [X5] :
( member(X5,X1)
=> member(X3,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',product) ).
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(intersection,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(thI36,conjecture,
! [X1,X2] : subset(intersection(product(X1),product(X2)),product(intersection(X1,X2))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',thI36) ).
fof(c_0_4,plain,
! [X6,X7,X8,X6,X7] :
( ( ~ member(X6,product(X7))
| ~ member(X8,X7)
| member(X6,X8) )
& ( member(esk4_2(X6,X7),X7)
| member(X6,product(X7)) )
& ( ~ member(X6,esk4_2(X6,X7))
| member(X6,product(X7)) ) ),
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)],[product])])])])])])]) ).
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])])])])])])]) ).
fof(c_0_6,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_7,plain,
( member(X1,X2)
| ~ member(X2,X3)
| ~ member(X1,product(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( member(X1,product(X2))
| member(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( member(esk3_2(product(X1),X2),X3)
| subset(product(X1),X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( member(esk4_2(X1,intersection(X2,X3)),X3)
| member(X1,product(intersection(X2,X3))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( member(X1,product(X2))
| ~ member(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( member(esk3_2(product(X1),X2),esk4_2(X3,intersection(X4,X1)))
| member(X3,product(intersection(X4,X1)))
| subset(product(X1),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,plain,
( member(esk3_2(intersection(X1,X2),X3),X2)
| subset(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_17,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,plain,
( member(esk3_2(product(X1),X2),product(intersection(X3,X1)))
| subset(product(X1),X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_19,negated_conjecture,
~ ! [X1,X2] : subset(intersection(product(X1),product(X2)),product(intersection(X1,X2))),
inference(assume_negation,[status(cth)],[thI36]) ).
cnf(c_0_20,plain,
( member(esk3_2(intersection(X1,X2),X3),X4)
| subset(intersection(X1,X2),X3)
| ~ subset(X2,X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
subset(product(X1),product(intersection(X2,X1))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_22,negated_conjecture,
~ subset(intersection(product(esk1_0),product(esk2_0)),product(intersection(esk1_0,esk2_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_23,plain,
( member(esk3_2(intersection(X1,product(X2)),X3),product(intersection(X4,X2)))
| subset(intersection(X1,product(X2)),X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
~ subset(intersection(product(esk1_0),product(esk2_0)),product(intersection(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,plain,
subset(intersection(X1,product(X2)),product(intersection(X3,X2))),
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET702+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n008.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 : Sat Jul 9 16:07:08 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.26/1.43 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.26/1.43 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.26/1.43 # Preprocessing time : 0.014 s
% 0.26/1.43
% 0.26/1.43 # Proof found!
% 0.26/1.43 # SZS status Theorem
% 0.26/1.43 # SZS output start CNFRefutation
% See solution above
% 0.26/1.43 # Proof object total steps : 27
% 0.26/1.43 # Proof object clause steps : 18
% 0.26/1.43 # Proof object formula steps : 9
% 0.26/1.43 # Proof object conjectures : 5
% 0.26/1.43 # Proof object clause conjectures : 2
% 0.26/1.43 # Proof object formula conjectures : 3
% 0.26/1.43 # Proof object initial clauses used : 8
% 0.26/1.43 # Proof object initial formulas used : 4
% 0.26/1.43 # Proof object generating inferences : 9
% 0.26/1.43 # Proof object simplifying inferences : 2
% 0.26/1.43 # Training examples: 0 positive, 0 negative
% 0.26/1.43 # Parsed axioms : 12
% 0.26/1.43 # Removed by relevancy pruning/SinE : 8
% 0.26/1.43 # Initial clauses : 10
% 0.26/1.43 # Removed in clause preprocessing : 0
% 0.26/1.43 # Initial clauses in saturation : 10
% 0.26/1.43 # Processed clauses : 3299
% 0.26/1.43 # ...of these trivial : 0
% 0.26/1.43 # ...subsumed : 2606
% 0.26/1.43 # ...remaining for further processing : 693
% 0.26/1.43 # Other redundant clauses eliminated : 0
% 0.26/1.43 # Clauses deleted for lack of memory : 0
% 0.26/1.43 # Backward-subsumed : 0
% 0.26/1.43 # Backward-rewritten : 1
% 0.26/1.43 # Generated clauses : 43688
% 0.26/1.43 # ...of the previous two non-trivial : 43592
% 0.26/1.43 # Contextual simplify-reflections : 18
% 0.26/1.43 # Paramodulations : 43688
% 0.26/1.43 # Factorizations : 0
% 0.26/1.43 # Equation resolutions : 0
% 0.26/1.43 # Current number of processed clauses : 692
% 0.26/1.43 # Positive orientable unit clauses : 128
% 0.26/1.43 # Positive unorientable unit clauses: 0
% 0.26/1.43 # Negative unit clauses : 0
% 0.26/1.43 # Non-unit-clauses : 564
% 0.26/1.43 # Current number of unprocessed clauses: 40303
% 0.26/1.43 # ...number of literals in the above : 84990
% 0.26/1.43 # Current number of archived formulas : 0
% 0.26/1.43 # Current number of archived clauses : 1
% 0.26/1.43 # Clause-clause subsumption calls (NU) : 99332
% 0.26/1.43 # Rec. Clause-clause subsumption calls : 82243
% 0.26/1.43 # Non-unit clause-clause subsumptions : 2624
% 0.26/1.43 # Unit Clause-clause subsumption calls : 14406
% 0.26/1.43 # Rewrite failures with RHS unbound : 0
% 0.26/1.43 # BW rewrite match attempts : 2084
% 0.26/1.43 # BW rewrite match successes : 1
% 0.26/1.43 # Condensation attempts : 0
% 0.26/1.43 # Condensation successes : 0
% 0.26/1.43 # Termbank termtop insertions : 858834
% 0.26/1.43
% 0.26/1.43 # -------------------------------------------------
% 0.26/1.43 # User time : 0.384 s
% 0.26/1.43 # System time : 0.023 s
% 0.26/1.43 # Total time : 0.407 s
% 0.26/1.43 # Maximum resident set size: 34764 pages
% 0.26/23.42 eprover: CPU time limit exceeded, terminating
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------