TSTP Solution File: SET595+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET595+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 00:52:16 EDT 2022
% Result : Theorem 0.24s 2.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 40 ( 8 unt; 0 def)
% Number of atoms : 103 ( 12 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 98 ( 35 ~; 45 |; 11 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 97 ( 14 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th54,conjecture,
! [X1,X2] :
( subset(X1,X2)
=> X2 = union(X1,difference(X2,X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',prove_th54) ).
fof(subset_defn,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',subset_defn) ).
fof(union_defn,axiom,
! [X1,X2,X3] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',union_defn) ).
fof(difference_defn,axiom,
! [X1,X2,X3] :
( member(X3,difference(X1,X2))
<=> ( member(X3,X1)
& ~ member(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',difference_defn) ).
fof(equal_defn,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',equal_defn) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2] :
( subset(X1,X2)
=> X2 = union(X1,difference(X2,X1)) ),
inference(assume_negation,[status(cth)],[prove_th54]) ).
fof(c_0_6,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk2_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk2_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_defn])])])])])])]) ).
fof(c_0_7,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ member(X6,union(X4,X5))
| member(X6,X4)
| member(X6,X5) )
& ( ~ member(X6,X4)
| member(X6,union(X4,X5)) )
& ( ~ member(X6,X5)
| member(X6,union(X4,X5)) ) ),
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_defn])])])])]) ).
fof(c_0_8,negated_conjecture,
( subset(esk4_0,esk5_0)
& esk5_0 != union(esk4_0,difference(esk5_0,esk4_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| ~ member(esk2_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( member(X6,X4)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X5)
| ~ member(X6,difference(X4,X5)) )
& ( ~ member(X6,X4)
| member(X6,X5)
| member(X6,difference(X4,X5)) ) ),
inference(distribute,[status(thm)],[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)],[difference_defn])])])])])]) ).
cnf(c_0_12,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
subset(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( subset(X1,union(X2,X3))
| ~ member(esk2_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,plain,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
( subset(X1,X2)
| member(esk2_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( subset(X1,union(X2,X3))
| ~ member(esk2_2(X1,union(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_20,negated_conjecture,
( member(X1,esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
( subset(X1,union(X2,difference(X3,X4)))
| member(esk2_2(X1,union(X2,difference(X3,X4))),X4)
| ~ member(esk2_2(X1,union(X2,difference(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( subset(union(X1,X2),X3)
| member(esk2_2(union(X1,X2),X3),X1)
| member(esk2_2(union(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_24,plain,
! [X3,X4,X3,X4] :
( ( subset(X3,X4)
| X3 != X4 )
& ( subset(X4,X3)
| X3 != X4 )
& ( ~ subset(X3,X4)
| ~ subset(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_defn])])])])]) ).
cnf(c_0_25,negated_conjecture,
( subset(X1,union(esk5_0,X2))
| ~ member(esk2_2(X1,union(esk5_0,X2)),esk4_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,plain,
( subset(X1,union(X2,difference(X1,X3)))
| member(esk2_2(X1,union(X2,difference(X1,X3))),X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_27,plain,
( subset(union(X1,difference(X2,X3)),X4)
| member(esk2_2(union(X1,difference(X2,X3)),X4),X1)
| member(esk2_2(union(X1,difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( subset(union(X1,X2),union(X3,X2))
| member(esk2_2(union(X1,X2),union(X3,X2)),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_29,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
subset(X1,union(esk5_0,difference(X1,esk4_0))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( subset(union(X1,difference(X1,X2)),X3)
| member(esk2_2(union(X1,difference(X1,X2)),X3),X1) ),
inference(ef,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
subset(union(esk4_0,X1),union(esk5_0,X1)),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( union(esk5_0,difference(X1,esk4_0)) = X1
| ~ subset(union(esk5_0,difference(X1,esk4_0)),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
subset(union(X1,difference(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_9,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( union(esk5_0,X1) = union(esk4_0,X1)
| ~ subset(union(esk5_0,X1),union(esk4_0,X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
union(esk5_0,difference(esk5_0,esk4_0)) = esk5_0,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
subset(X1,union(X2,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_38,negated_conjecture,
esk5_0 != union(esk4_0,difference(esk5_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET595+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n007.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 : Sun Jul 10 12:40:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/2.42 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/2.42 # Preprocessing time : 0.016 s
% 0.24/2.42
% 0.24/2.42 # Proof found!
% 0.24/2.42 # SZS status Theorem
% 0.24/2.42 # SZS output start CNFRefutation
% See solution above
% 0.24/2.42 # Proof object total steps : 40
% 0.24/2.42 # Proof object clause steps : 29
% 0.24/2.42 # Proof object formula steps : 11
% 0.24/2.42 # Proof object conjectures : 13
% 0.24/2.42 # Proof object clause conjectures : 10
% 0.24/2.42 # Proof object formula conjectures : 3
% 0.24/2.42 # Proof object initial clauses used : 11
% 0.24/2.42 # Proof object initial formulas used : 5
% 0.24/2.42 # Proof object generating inferences : 18
% 0.24/2.42 # Proof object simplifying inferences : 3
% 0.24/2.42 # Training examples: 0 positive, 0 negative
% 0.24/2.42 # Parsed axioms : 9
% 0.24/2.42 # Removed by relevancy pruning/SinE : 0
% 0.24/2.42 # Initial clauses : 22
% 0.24/2.42 # Removed in clause preprocessing : 2
% 0.24/2.42 # Initial clauses in saturation : 20
% 0.24/2.42 # Processed clauses : 8596
% 0.24/2.42 # ...of these trivial : 270
% 0.24/2.42 # ...subsumed : 6976
% 0.24/2.42 # ...remaining for further processing : 1350
% 0.24/2.42 # Other redundant clauses eliminated : 2
% 0.24/2.42 # Clauses deleted for lack of memory : 0
% 0.24/2.42 # Backward-subsumed : 54
% 0.24/2.42 # Backward-rewritten : 41
% 0.24/2.42 # Generated clauses : 135088
% 0.24/2.42 # ...of the previous two non-trivial : 124109
% 0.24/2.42 # Contextual simplify-reflections : 1572
% 0.24/2.42 # Paramodulations : 134000
% 0.24/2.42 # Factorizations : 1086
% 0.24/2.42 # Equation resolutions : 2
% 0.24/2.42 # Current number of processed clauses : 1253
% 0.24/2.42 # Positive orientable unit clauses : 201
% 0.24/2.42 # Positive unorientable unit clauses: 3
% 0.24/2.42 # Negative unit clauses : 3
% 0.24/2.42 # Non-unit-clauses : 1046
% 0.24/2.42 # Current number of unprocessed clauses: 113916
% 0.24/2.42 # ...number of literals in the above : 363883
% 0.24/2.42 # Current number of archived formulas : 0
% 0.24/2.42 # Current number of archived clauses : 95
% 0.24/2.42 # Clause-clause subsumption calls (NU) : 212526
% 0.24/2.42 # Rec. Clause-clause subsumption calls : 118034
% 0.24/2.42 # Non-unit clause-clause subsumptions : 7075
% 0.24/2.42 # Unit Clause-clause subsumption calls : 20436
% 0.24/2.42 # Rewrite failures with RHS unbound : 16
% 0.24/2.42 # BW rewrite match attempts : 716
% 0.24/2.42 # BW rewrite match successes : 34
% 0.24/2.42 # Condensation attempts : 0
% 0.24/2.42 # Condensation successes : 0
% 0.24/2.42 # Termbank termtop insertions : 3643521
% 0.24/2.42
% 0.24/2.42 # -------------------------------------------------
% 0.24/2.42 # User time : 1.655 s
% 0.24/2.42 # System time : 0.054 s
% 0.24/2.42 # Total time : 1.709 s
% 0.24/2.42 # Maximum resident set size: 108108 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------