TSTP Solution File: SWC279+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC279+1 : TPTP v8.1.0. Released v2.4.0.
% 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 20:27:47 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 132 ( 19 equ)
% Maximal formula atoms : 33 ( 6 avg)
% Number of connectives : 174 ( 64 ~; 62 |; 32 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 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; 9 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X3
& ? [X8] :
( ssItem(X8)
& ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( app(app(X10,cons(X9,nil)),X11) != X1
| ! [X12] :
( ssItem(X12)
=> ( ( ~ memberP(X10,X12)
| leq(X12,X9) )
& ( ~ memberP(X11,X12)
| leq(X9,X12) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(app(X6,cons(X5,nil)),X7) = X3
& ? [X8] :
( ssItem(X8)
& ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ! [X11] :
( ssList(X11)
=> ( app(app(X10,cons(X9,nil)),X11) != X1
| ! [X12] :
( ssItem(X12)
=> ( ( ~ memberP(X10,X12)
| leq(X12,X9) )
& ( ~ memberP(X11,X12)
| leq(X9,X12) ) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
! [X17,X18,X19,X20] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ( leq(X17,X20)
| ~ memberP(X19,X20)
| ~ ssItem(X20)
| ~ ssList(X19)
| app(app(X18,cons(X17,nil)),X19) != esk3_0
| ~ ssList(X18)
| ~ ssItem(X17) )
& ( leq(X20,X17)
| ~ memberP(X18,X20)
| ~ ssItem(X20)
| ~ ssList(X19)
| app(app(X18,cons(X17,nil)),X19) != esk3_0
| ~ ssList(X18)
| ~ ssItem(X17) )
& ssItem(esk5_0)
& ssList(esk6_0)
& ssList(esk7_0)
& app(app(esk6_0,cons(esk5_0,nil)),esk7_0) = esk1_0
& ssItem(esk8_0)
& ( memberP(esk7_0,esk8_0)
| memberP(esk6_0,esk8_0) )
& ( ~ leq(esk5_0,esk8_0)
| memberP(esk6_0,esk8_0) )
& ( memberP(esk7_0,esk8_0)
| ~ leq(esk8_0,esk5_0) )
& ( ~ leq(esk5_0,esk8_0)
| ~ leq(esk8_0,esk5_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,
( leq(X4,X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X3) != esk3_0
| ~ ssList(X3)
| ~ ssItem(X4)
| ~ memberP(X2,X4) ),
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,
( leq(X1,X2)
| app(app(X3,cons(X2,nil)),X4) != esk1_0
| ~ memberP(X3,X1)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
app(app(esk6_0,cons(esk5_0,nil)),esk7_0) = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
ssList(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
ssList(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
ssItem(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( leq(X1,X4)
| ~ ssItem(X1)
| ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X3) != esk3_0
| ~ ssList(X3)
| ~ ssItem(X4)
| ~ memberP(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( ~ leq(esk8_0,esk5_0)
| ~ leq(esk5_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( leq(X1,esk5_0)
| ~ memberP(esk6_0,X1)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_13,negated_conjecture,
ssItem(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( memberP(esk6_0,esk8_0)
| ~ leq(esk5_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( leq(X1,X2)
| app(app(X3,cons(X1,nil)),X4) != esk1_0
| ~ memberP(X4,X2)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_10,c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( memberP(esk7_0,esk8_0)
| ~ leq(esk8_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( memberP(esk6_0,esk8_0)
| memberP(esk7_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
~ leq(esk5_0,esk8_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( leq(esk5_0,X1)
| ~ memberP(esk7_0,X1)
| ~ ssItem(X1) ),
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_6]),c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_20,negated_conjecture,
memberP(esk7_0,esk8_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_13])]),c_0_17]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC279+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 11 21:28:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.021 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 22
% 0.21/1.40 # Proof object clause steps : 19
% 0.21/1.40 # Proof object formula steps : 3
% 0.21/1.40 # Proof object conjectures : 22
% 0.21/1.40 # Proof object clause conjectures : 19
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 12
% 0.21/1.40 # Proof object initial formulas used : 1
% 0.21/1.40 # Proof object generating inferences : 5
% 0.21/1.40 # Proof object simplifying inferences : 19
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 96
% 0.21/1.40 # Removed by relevancy pruning/SinE : 66
% 0.21/1.40 # Initial clauses : 62
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 62
% 0.21/1.40 # Processed clauses : 83
% 0.21/1.40 # ...of these trivial : 2
% 0.21/1.40 # ...subsumed : 6
% 0.21/1.40 # ...remaining for further processing : 75
% 0.21/1.40 # Other redundant clauses eliminated : 3
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 4
% 0.21/1.40 # Backward-rewritten : 1
% 0.21/1.40 # Generated clauses : 190
% 0.21/1.40 # ...of the previous two non-trivial : 158
% 0.21/1.40 # Contextual simplify-reflections : 12
% 0.21/1.40 # Paramodulations : 181
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 9
% 0.21/1.40 # Current number of processed clauses : 68
% 0.21/1.40 # Positive orientable unit clauses : 13
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 2
% 0.21/1.40 # Non-unit-clauses : 53
% 0.21/1.40 # Current number of unprocessed clauses: 136
% 0.21/1.40 # ...number of literals in the above : 815
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 5
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 492
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 119
% 0.21/1.40 # Non-unit clause-clause subsumptions : 21
% 0.21/1.40 # Unit Clause-clause subsumption calls : 17
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 1
% 0.21/1.40 # BW rewrite match successes : 1
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 8518
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.031 s
% 0.21/1.40 # System time : 0.003 s
% 0.21/1.40 # Total time : 0.034 s
% 0.21/1.40 # Maximum resident set size: 3200 pages
%------------------------------------------------------------------------------