TSTP Solution File: NUN087+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : Mon Jul 18 16:26:08 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 51 ( 16 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 50 ( 19 ~; 14 |; 17 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 31 ( 6 sgn 7 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_5a,axiom,
! [X33] :
? [X34] :
( ? [X35] :
( r1(X35)
& r4(X33,X35,X34) )
& ? [X36] :
( r1(X36)
& X34 = X36 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
fof(zerotimeszeroeqzero,conjecture,
? [X39] :
( ? [X22] :
( r1(X22)
& r4(X22,X22,X39) )
& ? [X23] :
( r1(X23)
& X39 = X23 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',zerotimeszeroeqzero) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(c_0_3,plain,
! [X37] :
( r1(esk11_1(X37))
& r4(X37,esk11_1(X37),esk10_1(X37))
& r1(esk12_1(X37))
& esk10_1(X37) = esk12_1(X37) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[axiom_5a])])])]) ).
fof(c_0_4,negated_conjecture,
~ ? [X39] :
( ? [X22] :
( r1(X22)
& r4(X22,X22,X39) )
& ? [X23] :
( r1(X23)
& X39 = X23 ) ),
inference(assume_negation,[status(cth)],[zerotimeszeroeqzero]) ).
fof(c_0_5,plain,
! [X4] :
( ( r1(X4)
| ~ r1(X4) )
& ( X4 = esk1_0
| ~ r1(X4) )
& ( r1(X4)
| X4 != esk1_0 )
& ( X4 = esk1_0
| X4 != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).
cnf(c_0_6,plain,
r1(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
esk10_1(X1) = esk12_1(X1),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_8,negated_conjecture,
! [X40,X41,X42] :
( ~ r1(X41)
| ~ r4(X41,X41,X40)
| ~ r1(X42)
| X40 != X42 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
cnf(c_0_9,plain,
( X1 = esk1_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
r1(esk10_1(X1)),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
r1(esk11_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( X1 != X2
| ~ r1(X2)
| ~ r4(X3,X3,X1)
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
r4(X1,esk11_1(X1),esk10_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,plain,
esk10_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
esk11_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ r4(X1,X1,X2)
| ~ r1(X1)
| ~ r1(X2) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
r4(X1,esk1_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,plain,
r1(esk1_0),
inference(rw,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 2 06:21:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43 # Preprocessing time : 0.017 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 20
% 0.25/1.43 # Proof object clause steps : 13
% 0.25/1.43 # Proof object formula steps : 7
% 0.25/1.43 # Proof object conjectures : 6
% 0.25/1.43 # Proof object clause conjectures : 3
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 6
% 0.25/1.43 # Proof object initial formulas used : 3
% 0.25/1.43 # Proof object generating inferences : 3
% 0.25/1.43 # Proof object simplifying inferences : 7
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 12
% 0.25/1.43 # Removed by relevancy pruning/SinE : 0
% 0.25/1.43 # Initial clauses : 40
% 0.25/1.43 # Removed in clause preprocessing : 12
% 0.25/1.43 # Initial clauses in saturation : 28
% 0.25/1.43 # Processed clauses : 39
% 0.25/1.43 # ...of these trivial : 0
% 0.25/1.43 # ...subsumed : 0
% 0.25/1.43 # ...remaining for further processing : 39
% 0.25/1.43 # Other redundant clauses eliminated : 4
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 0
% 0.25/1.43 # Backward-rewritten : 5
% 0.25/1.43 # Generated clauses : 39
% 0.25/1.43 # ...of the previous two non-trivial : 37
% 0.25/1.43 # Contextual simplify-reflections : 0
% 0.25/1.43 # Paramodulations : 32
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 7
% 0.25/1.43 # Current number of processed clauses : 31
% 0.25/1.43 # Positive orientable unit clauses : 16
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 1
% 0.25/1.43 # Non-unit-clauses : 14
% 0.25/1.43 # Current number of unprocessed clauses: 24
% 0.25/1.43 # ...number of literals in the above : 37
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 9
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 38
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 31
% 0.25/1.43 # Non-unit clause-clause subsumptions : 0
% 0.25/1.43 # Unit Clause-clause subsumption calls : 5
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 7
% 0.25/1.43 # BW rewrite match successes : 3
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 1585
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.015 s
% 0.25/1.43 # System time : 0.003 s
% 0.25/1.43 # Total time : 0.018 s
% 0.25/1.43 # Maximum resident set size: 2992 pages
%------------------------------------------------------------------------------