TSTP Solution File: NUM837+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM837+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 09:37:00 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 17 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 4 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 3 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(171)',conjecture,
? [X1] : vd269 = vplus(vd268,X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qe(171)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X16,X17] :
( less(X17,X16)
<=> ? [X18] : X16 = vplus(X17,X18) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('holds(conjunct1(170), 270, 0)',axiom,
less(vd268,vd269),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conjunct1(170), 270, 0)') ).
fof(c_0_3,negated_conjecture,
~ ? [X1] : vd269 = vplus(vd268,X1),
inference(assume_negation,[status(cth)],['qe(171)']) ).
fof(c_0_4,negated_conjecture,
! [X2] : vd269 != vplus(vd268,X2),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
fof(c_0_5,plain,
! [X19,X20,X19,X20,X22] :
( ( ~ less(X20,X19)
| X19 = vplus(X20,esk1_2(X19,X20)) )
& ( X19 != vplus(X20,X22)
| less(X20,X19) ) ),
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)],['def(cond(conseq(axiom(3)), 12), 1)'])])])])])]) ).
cnf(c_0_6,negated_conjecture,
vd269 != vplus(vd268,X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( X1 != vd269
| ~ less(vd268,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
less(vd268,vd269),
inference(split_conjunct,[status(thm)],['holds(conjunct1(170), 270, 0)']) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_8,c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM837+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 13:19:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.015 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 11
% 0.23/1.41 # Proof object clause steps : 5
% 0.23/1.41 # Proof object formula steps : 6
% 0.23/1.41 # Proof object conjectures : 6
% 0.23/1.41 # Proof object clause conjectures : 3
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 3
% 0.23/1.41 # Proof object initial formulas used : 3
% 0.23/1.41 # Proof object generating inferences : 2
% 0.23/1.41 # Proof object simplifying inferences : 0
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 22
% 0.23/1.41 # Removed by relevancy pruning/SinE : 6
% 0.23/1.41 # Initial clauses : 18
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 18
% 0.23/1.41 # Processed clauses : 23
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 0
% 0.23/1.41 # ...remaining for further processing : 23
% 0.23/1.41 # Other redundant clauses eliminated : 13
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 0
% 0.23/1.41 # Generated clauses : 67
% 0.23/1.41 # ...of the previous two non-trivial : 46
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 48
% 0.23/1.41 # Factorizations : 2
% 0.23/1.41 # Equation resolutions : 17
% 0.23/1.41 # Current number of processed clauses : 19
% 0.23/1.41 # Positive orientable unit clauses : 4
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 2
% 0.23/1.41 # Non-unit-clauses : 13
% 0.23/1.41 # Current number of unprocessed clauses: 41
% 0.23/1.41 # ...number of literals in the above : 92
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 0
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 4
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 4
% 0.23/1.41 # Non-unit clause-clause subsumptions : 0
% 0.23/1.41 # Unit Clause-clause subsumption calls : 3
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 0
% 0.23/1.41 # BW rewrite match successes : 0
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 1248
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.014 s
% 0.23/1.41 # System time : 0.002 s
% 0.23/1.41 # Total time : 0.016 s
% 0.23/1.41 # Maximum resident set size: 2808 pages
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