TSTP Solution File: NUM343+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 09:31:44 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 24 ( 3 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 26 ( 11 ~; 5 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 15 ( 6 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sum_something_n0_samething,conjecture,
? [X1] :
( ( less(nn1,X1)
& less(X1,n1) )
=> sum(n21,X1,n21) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sum_something_n0_samething) ).
fof(less_property,axiom,
! [X1,X2] :
( less(X1,X2)
<=> ( ~ less(X2,X1)
& X2 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).
fof(c_0_2,negated_conjecture,
~ ? [X1] :
( ( less(nn1,X1)
& less(X1,n1) )
=> sum(n21,X1,n21) ),
inference(assume_negation,[status(cth)],[sum_something_n0_samething]) ).
fof(c_0_3,plain,
! [X3,X4,X3,X4] :
( ( ~ less(X4,X3)
| ~ less(X3,X4) )
& ( X4 != X3
| ~ less(X3,X4) )
& ( less(X4,X3)
| X4 = X3
| less(X3,X4) ) ),
inference(distribute,[status(thm)],[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)],[less_property])])])])])]) ).
fof(c_0_4,negated_conjecture,
! [X2,X2,X2] :
( less(nn1,X2)
& less(X2,n1)
& ~ sum(n21,X2,n21) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
cnf(c_0_5,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
less(nn1,X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
~ less(X1,nn1),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_7,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 06:38:14 EDT 2022
% 0.12/0.34 % 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 : 0.022 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 : 9
% 0.25/1.43 # Proof object clause steps : 4
% 0.25/1.43 # Proof object formula steps : 5
% 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 : 2
% 0.25/1.43 # Proof object initial formulas used : 2
% 0.25/1.43 # Proof object generating inferences : 2
% 0.25/1.43 # Proof object simplifying inferences : 0
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 402
% 0.25/1.43 # Removed by relevancy pruning/SinE : 301
% 0.25/1.43 # Initial clauses : 105
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 105
% 0.25/1.43 # Processed clauses : 106
% 0.25/1.43 # ...of these trivial : 0
% 0.25/1.43 # ...subsumed : 0
% 0.25/1.43 # ...remaining for further processing : 106
% 0.25/1.43 # Other redundant clauses eliminated : 1
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 0
% 0.25/1.43 # Backward-rewritten : 0
% 0.25/1.43 # Generated clauses : 78
% 0.25/1.43 # ...of the previous two non-trivial : 69
% 0.25/1.43 # Contextual simplify-reflections : 0
% 0.25/1.43 # Paramodulations : 75
% 0.25/1.43 # Factorizations : 2
% 0.25/1.43 # Equation resolutions : 1
% 0.25/1.43 # Current number of processed clauses : 105
% 0.25/1.43 # Positive orientable unit clauses : 84
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 2
% 0.25/1.43 # Non-unit-clauses : 19
% 0.25/1.43 # Current number of unprocessed clauses: 68
% 0.25/1.43 # ...number of literals in the above : 148
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 0
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 72
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 33
% 0.25/1.43 # Non-unit clause-clause subsumptions : 0
% 0.25/1.43 # Unit Clause-clause subsumption calls : 19
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 0
% 0.25/1.43 # BW rewrite match successes : 0
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 9928
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.022 s
% 0.25/1.43 # System time : 0.005 s
% 0.25/1.43 # Total time : 0.027 s
% 0.25/1.43 # Maximum resident set size: 4280 pages
%------------------------------------------------------------------------------