TSTP Solution File: SEV517+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n009.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 17:04:48 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 5 unt; 0 def)
% Number of atoms : 182 ( 12 equ)
% Maximal formula atoms : 105 ( 7 avg)
% Number of connectives : 235 ( 79 ~; 109 |; 38 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 69 ( 9 sgn 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(diff_elem_in_partition,conjecture,
! [X3,X1,X2,X11] :
( ( member(X3,difference(X1,X2))
& partition(X11,X1) )
=> ? [X12] :
( member(X12,difference(X11,singleton(X2)))
& member(X3,X12) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',diff_elem_in_partition) ).
fof(difference,axiom,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',difference) ).
fof(partition,axiom,
! [X1,X4] :
( partition(X1,X4)
<=> ( ! [X3] :
( member(X3,X1)
=> subset(X3,X4) )
& ! [X3] :
( member(X3,X4)
=> ? [X5] :
( member(X5,X1)
& member(X3,X5) ) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( ? [X6] :
( member(X6,X3)
& member(X6,X5) )
=> X3 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',partition) ).
fof(singleton,axiom,
! [X3,X1] :
( member(X3,singleton(X1))
<=> X3 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',singleton) ).
fof(c_0_4,negated_conjecture,
~ ! [X3,X1,X2,X11] :
( ( member(X3,difference(X1,X2))
& partition(X11,X1) )
=> ? [X12] :
( member(X12,difference(X11,singleton(X2)))
& member(X3,X12) ) ),
inference(assume_negation,[status(cth)],[diff_elem_in_partition]) ).
fof(c_0_5,negated_conjecture,
! [X17] :
( member(esk1_0,difference(esk2_0,esk3_0))
& partition(esk4_0,esk2_0)
& ( ~ member(X17,difference(esk4_0,singleton(esk3_0)))
| ~ member(esk1_0,X17) ) ),
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)],[c_0_4])])])])])]) ).
fof(c_0_6,plain,
! [X5,X6,X7,X5,X6,X7] :
( ( member(X5,X7)
| ~ member(X5,difference(X7,X6)) )
& ( ~ member(X5,X6)
| ~ member(X5,difference(X7,X6)) )
& ( ~ member(X5,X7)
| member(X5,X6)
| member(X5,difference(X7,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)],[inference(fof_simplification,[status(thm)],[difference])])])])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ member(esk1_0,X1)
| ~ member(X1,difference(esk4_0,singleton(esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( member(X1,difference(X2,X3))
| member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X7,X8,X9,X10,X12,X13,X14,X7,X8,X17] :
( ( ~ member(X9,X7)
| subset(X9,X8)
| ~ partition(X7,X8) )
& ( member(esk5_3(X7,X8,X10),X7)
| ~ member(X10,X8)
| ~ partition(X7,X8) )
& ( member(X10,esk5_3(X7,X8,X10))
| ~ member(X10,X8)
| ~ partition(X7,X8) )
& ( ~ member(X12,X7)
| ~ member(X13,X7)
| ~ member(X14,X12)
| ~ member(X14,X13)
| X12 = X13
| ~ partition(X7,X8) )
& ( member(esk8_2(X7,X8),X7)
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk9_2(X7,X8),X7)
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk8_2(X7,X8))
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk9_2(X7,X8))
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( esk8_2(X7,X8) != esk9_2(X7,X8)
| member(esk7_2(X7,X8),X8)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk8_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk9_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk8_2(X7,X8))
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk9_2(X7,X8))
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( esk8_2(X7,X8) != esk9_2(X7,X8)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| member(esk6_2(X7,X8),X7)
| partition(X7,X8) )
& ( member(esk8_2(X7,X8),X7)
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk9_2(X7,X8),X7)
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk8_2(X7,X8))
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk9_2(X7,X8))
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( esk8_2(X7,X8) != esk9_2(X7,X8)
| member(esk7_2(X7,X8),X8)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk8_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk9_2(X7,X8),X7)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk8_2(X7,X8))
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( member(esk10_2(X7,X8),esk9_2(X7,X8))
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(X7,X8) )
& ( esk8_2(X7,X8) != esk9_2(X7,X8)
| ~ member(X17,X7)
| ~ member(esk7_2(X7,X8),X17)
| ~ subset(esk6_2(X7,X8),X8)
| partition(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)],[partition])])])])])])]) ).
fof(c_0_10,plain,
! [X4,X5,X4,X5] :
( ( ~ member(X4,singleton(X5))
| X4 = X5 )
& ( X4 != X5
| member(X4,singleton(X5)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[singleton])])])]) ).
cnf(c_0_11,negated_conjecture,
( member(X1,singleton(esk3_0))
| ~ member(esk1_0,X1)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( member(X3,esk5_3(X1,X2,X3))
| ~ partition(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( member(esk5_3(X1,X2,esk1_0),singleton(esk3_0))
| ~ partition(X1,X2)
| ~ member(esk5_3(X1,X2,esk1_0),esk4_0)
| ~ member(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( esk5_3(X1,X2,esk1_0) = esk3_0
| ~ partition(X1,X2)
| ~ member(esk5_3(X1,X2,esk1_0),esk4_0)
| ~ member(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( member(esk5_3(X1,X2,X3),X1)
| ~ partition(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( ~ member(X1,difference(X2,X3))
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
member(esk1_0,difference(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
( esk5_3(esk4_0,X1,esk1_0) = esk3_0
| ~ partition(esk4_0,X1)
| ~ member(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ member(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( ~ partition(esk4_0,X1)
| ~ member(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_20]) ).
cnf(c_0_23,negated_conjecture,
partition(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
member(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV517+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n009.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 : Tue Jun 28 00:29:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.017 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 26
% 0.24/1.42 # Proof object clause steps : 17
% 0.24/1.42 # Proof object formula steps : 9
% 0.24/1.42 # Proof object conjectures : 14
% 0.24/1.42 # Proof object clause conjectures : 11
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 9
% 0.24/1.42 # Proof object initial formulas used : 4
% 0.24/1.42 # Proof object generating inferences : 8
% 0.24/1.42 # Proof object simplifying inferences : 3
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 20
% 0.24/1.42 # Removed by relevancy pruning/SinE : 15
% 0.24/1.42 # Initial clauses : 35
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 35
% 0.24/1.42 # Processed clauses : 1743
% 0.24/1.42 # ...of these trivial : 2
% 0.24/1.42 # ...subsumed : 849
% 0.24/1.42 # ...remaining for further processing : 892
% 0.24/1.42 # Other redundant clauses eliminated : 1
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 119
% 0.24/1.42 # Backward-rewritten : 9
% 0.24/1.42 # Generated clauses : 14688
% 0.24/1.42 # ...of the previous two non-trivial : 14213
% 0.24/1.42 # Contextual simplify-reflections : 794
% 0.24/1.42 # Paramodulations : 14686
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 1
% 0.24/1.42 # Current number of processed clauses : 762
% 0.24/1.42 # Positive orientable unit clauses : 31
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 7
% 0.24/1.42 # Non-unit-clauses : 724
% 0.24/1.42 # Current number of unprocessed clauses: 10890
% 0.24/1.42 # ...number of literals in the above : 64411
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 129
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 375486
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 108298
% 0.24/1.42 # Non-unit clause-clause subsumptions : 1667
% 0.24/1.42 # Unit Clause-clause subsumption calls : 3857
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 97
% 0.24/1.42 # BW rewrite match successes : 2
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 438767
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.475 s
% 0.24/1.42 # System time : 0.009 s
% 0.24/1.42 # Total time : 0.484 s
% 0.24/1.42 # Maximum resident set size: 14928 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 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
% 0.24/23.44 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
% 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
%------------------------------------------------------------------------------