TSTP Solution File: NUN088+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUN088+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 : 8
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 48 ( 17 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 56 ( 28 ~; 20 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 2 sgn 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(zerouneqone,conjecture,
! [X39] :
( ! [X22] :
( ~ r1(X22)
| X22 != X39 )
| ! [X23] :
( ~ r1(X23)
| ~ r2(X23,X39) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',zerouneqone) ).
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(axiom_7a,axiom,
! [X41,X42] :
( ! [X43] :
( ~ r1(X43)
| X43 != X42 )
| ~ r2(X41,X42) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
fof(c_0_3,negated_conjecture,
~ ! [X39] :
( ! [X22] :
( ~ r1(X22)
| X22 != X39 )
| ! [X23] :
( ~ r1(X23)
| ~ r2(X23,X39) ) ),
inference(assume_negation,[status(cth)],[zerouneqone]) ).
fof(c_0_4,plain,
! [X4] :
( ( r1(X4)
| ~ r1(X4) )
& ( X4 = esk8_0
| ~ r1(X4) )
& ( r1(X4)
| X4 != esk8_0 )
& ( X4 = esk8_0
| X4 != esk8_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).
fof(c_0_5,negated_conjecture,
( r1(esk2_0)
& esk2_0 = esk1_0
& r1(esk3_0)
& r2(esk3_0,esk1_0) ),
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_3])])])])])]) ).
cnf(c_0_6,plain,
( X1 = esk8_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
r1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
esk8_0 = esk3_0,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
r1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
esk2_0 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_11,plain,
! [X44,X45,X46] :
( ~ r1(X46)
| X46 != X45
| ~ r2(X44,X45) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7a])])])])]) ).
cnf(c_0_12,plain,
( X1 = esk3_0
| ~ r1(X1) ),
inference(rw,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
r1(esk1_0),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( ~ r2(X1,X2)
| X3 != X2
| ~ r1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
r2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
esk3_0 = esk1_0,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
r2(esk1_0,esk1_0),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN088+2 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n021.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 05:24:46 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 : 0.015 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 : 12
% 0.25/1.43 # Proof object clause conjectures : 9
% 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 : 6
% 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 : 6
% 0.25/1.43 # Initial clauses : 18
% 0.25/1.43 # Removed in clause preprocessing : 4
% 0.25/1.43 # Initial clauses in saturation : 14
% 0.25/1.43 # Processed clauses : 24
% 0.25/1.43 # ...of these trivial : 0
% 0.25/1.43 # ...subsumed : 0
% 0.25/1.43 # ...remaining for further processing : 24
% 0.25/1.43 # Other redundant clauses eliminated : 2
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 0
% 0.25/1.43 # Backward-rewritten : 8
% 0.25/1.43 # Generated clauses : 20
% 0.25/1.43 # ...of the previous two non-trivial : 24
% 0.25/1.43 # Contextual simplify-reflections : 0
% 0.25/1.43 # Paramodulations : 17
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 3
% 0.25/1.43 # Current number of processed clauses : 14
% 0.25/1.43 # Positive orientable unit clauses : 6
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 0
% 0.25/1.43 # Non-unit-clauses : 8
% 0.25/1.43 # Current number of unprocessed clauses: 12
% 0.25/1.43 # ...number of literals in the above : 25
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 8
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 5
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 5
% 0.25/1.43 # Non-unit clause-clause subsumptions : 0
% 0.25/1.43 # Unit Clause-clause subsumption calls : 0
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 3
% 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 : 873
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.015 s
% 0.25/1.43 # System time : 0.001 s
% 0.25/1.43 # Total time : 0.016 s
% 0.25/1.43 # Maximum resident set size: 2848 pages
%------------------------------------------------------------------------------