TSTP Solution File: SET890+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.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 00:55:14 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 6 unt; 0 def)
% Number of atoms : 123 ( 52 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 142 ( 54 ~; 70 |; 11 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 88 ( 8 sgn 34 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_tarski,axiom,
! [X1,X2] :
( X2 = singleton(X1)
<=> ! [X3] :
( in(X3,X2)
<=> X3 = X1 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d1_tarski) ).
fof(d4_tarski,axiom,
! [X1,X2] :
( X2 = union(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X3,X4)
& in(X4,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d4_tarski) ).
fof(l50_zfmisc_1,axiom,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l50_zfmisc_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d3_tarski) ).
fof(t31_zfmisc_1,conjecture,
! [X1] : union(singleton(X1)) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t31_zfmisc_1) ).
fof(c_0_5,plain,
! [X4,X5,X6,X6,X4,X5] :
( ( ~ in(X6,X5)
| X6 = X4
| X5 != singleton(X4) )
& ( X6 != X4
| in(X6,X5)
| X5 != singleton(X4) )
& ( ~ in(esk1_2(X4,X5),X5)
| esk1_2(X4,X5) != X4
| X5 = singleton(X4) )
& ( in(esk1_2(X4,X5),X5)
| esk1_2(X4,X5) = X4
| X5 = singleton(X4) ) ),
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)],[d1_tarski])])])])])])]) ).
fof(c_0_6,plain,
! [X5,X6,X7,X7,X9,X5,X6,X11] :
( ( in(X7,esk3_3(X5,X6,X7))
| ~ in(X7,X6)
| X6 != union(X5) )
& ( in(esk3_3(X5,X6,X7),X5)
| ~ in(X7,X6)
| X6 != union(X5) )
& ( ~ in(X7,X9)
| ~ in(X9,X5)
| in(X7,X6)
| X6 != union(X5) )
& ( ~ in(esk4_2(X5,X6),X6)
| ~ in(esk4_2(X5,X6),X11)
| ~ in(X11,X5)
| X6 = union(X5) )
& ( in(esk4_2(X5,X6),esk5_2(X5,X6))
| in(esk4_2(X5,X6),X6)
| X6 = union(X5) )
& ( in(esk5_2(X5,X6),X5)
| in(esk4_2(X5,X6),X6)
| X6 = union(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)],[d4_tarski])])])])])])]) ).
cnf(c_0_7,plain,
( X3 = X2
| X1 != singleton(X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( X1 = union(X2)
| in(esk4_2(X2,X1),X1)
| in(esk5_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( X1 = esk5_2(X2,X3)
| X3 = union(X2)
| in(esk4_2(X2,X3),X3)
| X2 != singleton(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ~ in(X3,X4)
| subset(X3,union(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l50_zfmisc_1])]) ).
cnf(c_0_11,plain,
( in(X3,X1)
| X1 != singleton(X2)
| X3 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( X1 = union(X2)
| ~ in(X3,X2)
| ~ in(esk4_2(X2,X1),X3)
| ~ in(esk4_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,plain,
( in(X3,esk3_3(X2,X1,X3))
| X1 != union(X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( X1 = union(X2)
| in(esk4_2(X2,X1),X1)
| in(esk4_2(X2,X1),esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( esk5_2(singleton(X1),X2) = X1
| X2 = union(singleton(X1))
| in(esk4_2(singleton(X1),X2),X2) ),
inference(er,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ in(X6,X4)
| in(X6,X5) )
& ( in(esk2_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(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)],[d3_tarski])])])])])])]) ).
cnf(c_0_17,plain,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( in(X1,X2)
| X2 != singleton(X1) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( X1 = union(X2)
| X3 != union(X4)
| ~ in(esk3_3(X4,X3,esk4_2(X2,X1)),X2)
| ~ in(esk4_2(X2,X1),X1)
| ~ in(esk4_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,plain,
( in(esk3_3(X2,X1,X3),X2)
| X1 != union(X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
( X1 = union(singleton(X2))
| in(esk4_2(singleton(X2),X1),X1)
| in(esk4_2(singleton(X2),X1),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( subset(X1,union(X2))
| X2 != singleton(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( X1 = union(X2)
| X3 != union(X2)
| ~ in(esk4_2(X2,X1),X1)
| ~ in(esk4_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( union(singleton(X1)) = X1
| in(esk4_2(singleton(X1),X1),X1) ),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( in(X1,union(X2))
| X2 != singleton(X3)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_27,negated_conjecture,
~ ! [X1] : union(singleton(X1)) = X1,
inference(assume_negation,[status(cth)],[t31_zfmisc_1]) ).
cnf(c_0_28,plain,
( union(singleton(X1)) = X1
| X2 != union(singleton(X1))
| ~ in(esk4_2(singleton(X1),X1),X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( union(singleton(X1)) = X1
| in(esk4_2(singleton(X1),X1),union(X2))
| X2 != singleton(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
fof(c_0_30,negated_conjecture,
union(singleton(esk8_0)) != esk8_0,
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_31,plain,
( union(singleton(X1)) = X1
| union(X2) != union(singleton(X1))
| X2 != singleton(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
union(singleton(esk8_0)) != esk8_0,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_33,plain,
union(singleton(X1)) = X1,
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 09:43:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.41 # Preprocessing time : 0.015 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 35
% 0.24/1.41 # Proof object clause steps : 24
% 0.24/1.41 # Proof object formula steps : 11
% 0.24/1.41 # Proof object conjectures : 5
% 0.24/1.41 # Proof object clause conjectures : 2
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 10
% 0.24/1.41 # Proof object initial formulas used : 5
% 0.24/1.41 # Proof object generating inferences : 12
% 0.24/1.41 # Proof object simplifying inferences : 3
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 10
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 22
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 22
% 0.24/1.41 # Processed clauses : 2018
% 0.24/1.41 # ...of these trivial : 18
% 0.24/1.41 # ...subsumed : 979
% 0.24/1.41 # ...remaining for further processing : 1021
% 0.24/1.41 # Other redundant clauses eliminated : 81
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 1
% 0.24/1.41 # Backward-rewritten : 648
% 0.24/1.41 # Generated clauses : 9853
% 0.24/1.41 # ...of the previous two non-trivial : 9937
% 0.24/1.41 # Contextual simplify-reflections : 669
% 0.24/1.41 # Paramodulations : 9314
% 0.24/1.41 # Factorizations : 10
% 0.24/1.41 # Equation resolutions : 529
% 0.24/1.41 # Current number of processed clauses : 369
% 0.24/1.41 # Positive orientable unit clauses : 4
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 3
% 0.24/1.41 # Non-unit-clauses : 362
% 0.24/1.41 # Current number of unprocessed clauses: 2093
% 0.24/1.41 # ...number of literals in the above : 12361
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 649
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 106857
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 55527
% 0.24/1.41 # Non-unit clause-clause subsumptions : 1500
% 0.24/1.41 # Unit Clause-clause subsumption calls : 296
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 79
% 0.24/1.41 # BW rewrite match successes : 79
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 266976
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.423 s
% 0.24/1.41 # System time : 0.007 s
% 0.24/1.41 # Total time : 0.430 s
% 0.24/1.41 # Maximum resident set size: 12016 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
%------------------------------------------------------------------------------