TSTP Solution File: SWC220+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC220+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 20:27:25 EDT 2022
% Result : Theorem 0.24s 1.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 154 ( 40 equ)
% Maximal formula atoms : 46 ( 5 avg)
% Number of connectives : 202 ( 74 ~; 78 |; 34 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| nil = X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X1
& ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X6,X8)
| ~ memberP(X7,X8)
| ~ leq(X5,X8)
| leq(X8,X5) ) ) ) ) )
| ( nil != X3
& ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( app(app(X10,cons(X9,nil)),X11) != X3
| ? [X12] :
( ssItem(X12)
& ~ leq(X12,X9)
& memberP(X10,X12)
& memberP(X11,X12)
& leq(X9,X12) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| nil = X1
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X1
& ! [X8] :
( ssItem(X8)
=> ( ~ memberP(X6,X8)
| ~ memberP(X7,X8)
| ~ leq(X5,X8)
| leq(X8,X5) ) ) ) ) )
| ( nil != X3
& ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( app(app(X10,cons(X9,nil)),X11) != X3
| ? [X12] :
( ssItem(X12)
& ~ leq(X12,X9)
& memberP(X10,X12)
& memberP(X11,X12)
& leq(X9,X12) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
! [X17,X18,X19,X24] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& nil != esk1_0
& ( ssItem(esk5_3(X17,X18,X19))
| ~ ssList(X19)
| app(app(X18,cons(X17,nil)),X19) != esk1_0
| ~ ssList(X18)
| ~ ssItem(X17) )
& ( memberP(X18,esk5_3(X17,X18,X19))
| ~ ssList(X19)
| app(app(X18,cons(X17,nil)),X19) != esk1_0
| ~ ssList(X18)
| ~ ssItem(X17) )
& ( memberP(X19,esk5_3(X17,X18,X19))
| ~ ssList(X19)
| app(app(X18,cons(X17,nil)),X19) != esk1_0
| ~ ssList(X18)
| ~ ssItem(X17) )
& ( leq(X17,esk5_3(X17,X18,X19))
| ~ ssList(X19)
| app(app(X18,cons(X17,nil)),X19) != esk1_0
| ~ ssList(X18)
| ~ ssItem(X17) )
& ( ~ leq(esk5_3(X17,X18,X19),X17)
| ~ ssList(X19)
| app(app(X18,cons(X17,nil)),X19) != esk1_0
| ~ ssList(X18)
| ~ ssItem(X17) )
& ( ssItem(esk6_0)
| nil = esk3_0 )
& ( ssList(esk7_0)
| nil = esk3_0 )
& ( ssList(esk8_0)
| nil = esk3_0 )
& ( app(app(esk7_0,cons(esk6_0,nil)),esk8_0) = esk3_0
| nil = esk3_0 )
& ( ~ ssItem(X24)
| leq(X24,esk6_0)
| ~ memberP(esk7_0,X24)
| ~ memberP(esk8_0,X24)
| ~ leq(esk6_0,X24)
| nil = esk3_0 ) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_1])])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( nil = esk3_0
| app(app(esk7_0,cons(esk6_0,nil)),esk8_0) = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
nil != esk1_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( nil = esk3_0
| ssList(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( nil = esk3_0
| ssList(esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( nil = esk3_0
| ssItem(esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( nil = esk3_0
| leq(X1,esk6_0)
| ~ leq(esk6_0,X1)
| ~ memberP(esk8_0,X1)
| ~ memberP(esk7_0,X1)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( leq(X1,esk5_3(X1,X2,X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X3) != esk1_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
app(app(esk7_0,cons(esk6_0,nil)),esk8_0) = esk1_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_5]) ).
cnf(c_0_12,negated_conjecture,
ssList(esk8_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_4]),c_0_5]) ).
cnf(c_0_13,negated_conjecture,
ssList(esk7_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_4]),c_0_5]) ).
cnf(c_0_14,negated_conjecture,
ssItem(esk6_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_4]),c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( memberP(X2,esk5_3(X1,X2,X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X3) != esk1_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( memberP(X3,esk5_3(X1,X2,X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X3) != esk1_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( ssItem(esk5_3(X1,X2,X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X3) != esk1_0
| ~ ssList(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( ~ ssItem(X1)
| ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X3) != esk1_0
| ~ ssList(X3)
| ~ leq(esk5_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( leq(X1,esk6_0)
| ~ leq(esk6_0,X1)
| ~ memberP(esk7_0,X1)
| ~ memberP(esk8_0,X1)
| ~ ssItem(X1) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_4]),c_0_5]) ).
cnf(c_0_20,negated_conjecture,
leq(esk6_0,esk5_3(esk6_0,esk7_0,esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_21,negated_conjecture,
memberP(esk7_0,esk5_3(esk6_0,esk7_0,esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_22,negated_conjecture,
memberP(esk8_0,esk5_3(esk6_0,esk7_0,esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_23,negated_conjecture,
ssItem(esk5_3(esk6_0,esk7_0,esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_11]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_24,negated_conjecture,
~ leq(esk5_3(esk6_0,esk7_0,esk8_0),esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_11]),c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC220+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 12 03:30:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.43 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.43 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.43 # Preprocessing time : 0.020 s
% 0.24/1.43
% 0.24/1.43 # Proof found!
% 0.24/1.43 # SZS status Theorem
% 0.24/1.43 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 26
% 0.24/1.43 # Proof object clause steps : 23
% 0.24/1.43 # Proof object formula steps : 3
% 0.24/1.43 # Proof object conjectures : 26
% 0.24/1.43 # Proof object clause conjectures : 23
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 12
% 0.24/1.43 # Proof object initial formulas used : 1
% 0.24/1.43 # Proof object generating inferences : 6
% 0.24/1.43 # Proof object simplifying inferences : 36
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 96
% 0.24/1.43 # Removed by relevancy pruning/SinE : 72
% 0.24/1.43 # Initial clauses : 54
% 0.24/1.43 # Removed in clause preprocessing : 0
% 0.24/1.43 # Initial clauses in saturation : 54
% 0.24/1.43 # Processed clauses : 91
% 0.24/1.43 # ...of these trivial : 3
% 0.24/1.43 # ...subsumed : 3
% 0.24/1.43 # ...remaining for further processing : 85
% 0.24/1.43 # Other redundant clauses eliminated : 1
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 0
% 0.24/1.43 # Backward-rewritten : 0
% 0.24/1.43 # Generated clauses : 227
% 0.24/1.43 # ...of the previous two non-trivial : 202
% 0.24/1.43 # Contextual simplify-reflections : 0
% 0.24/1.43 # Paramodulations : 225
% 0.24/1.43 # Factorizations : 0
% 0.24/1.43 # Equation resolutions : 2
% 0.24/1.43 # Current number of processed clauses : 84
% 0.24/1.43 # Positive orientable unit clauses : 30
% 0.24/1.43 # Positive unorientable unit clauses: 0
% 0.24/1.43 # Negative unit clauses : 4
% 0.24/1.43 # Non-unit-clauses : 50
% 0.24/1.43 # Current number of unprocessed clauses: 165
% 0.24/1.43 # ...number of literals in the above : 524
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 0
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 202
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 52
% 0.24/1.43 # Non-unit clause-clause subsumptions : 0
% 0.24/1.43 # Unit Clause-clause subsumption calls : 79
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 0
% 0.24/1.43 # BW rewrite match successes : 0
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 8177
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.024 s
% 0.24/1.43 # System time : 0.002 s
% 0.24/1.43 # Total time : 0.026 s
% 0.24/1.43 # Maximum resident set size: 3204 pages
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 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
% 0.24/23.46 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
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------