TSTP Solution File: NUM854+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM854+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 09:37:11 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(conjunct1(315), 514, 0)',conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conjunct1(315), 514, 0)') ).
fof('ass(cond(299, 0), 2)',axiom,
! [X10,X15,X16] :
( greater(X15,X16)
=> greater(vmul(X15,X10),vmul(X16,X10)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(299, 0), 2)') ).
fof('holds(conjunct1(314), 510, 0)',axiom,
greater(vd508,vd509),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conjunct1(314), 510, 0)') ).
fof(c_0_3,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(assume_negation,[status(cth)],['holds(conjunct1(315), 514, 0)']) ).
fof(c_0_4,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_5,plain,
! [X17,X18,X19] :
( ~ greater(X18,X19)
| greater(vmul(X18,X17),vmul(X19,X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 2)'])]) ).
cnf(c_0_6,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( greater(vmul(X1,X2),vmul(X3,X2))
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
greater(vd508,vd509),
inference(split_conjunct,[status(thm)],['holds(conjunct1(314), 510, 0)']) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM854+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n027.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 : Thu Jul 7 05:11:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.017 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 10
% 0.22/1.41 # Proof object clause steps : 4
% 0.22/1.41 # Proof object formula steps : 6
% 0.22/1.41 # Proof object conjectures : 5
% 0.22/1.41 # Proof object clause conjectures : 2
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 3
% 0.22/1.41 # Proof object initial formulas used : 3
% 0.22/1.41 # Proof object generating inferences : 1
% 0.22/1.41 # Proof object simplifying inferences : 2
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 59
% 0.22/1.41 # Removed by relevancy pruning/SinE : 6
% 0.22/1.41 # Initial clauses : 60
% 0.22/1.41 # Removed in clause preprocessing : 3
% 0.22/1.41 # Initial clauses in saturation : 57
% 0.22/1.41 # Processed clauses : 24
% 0.22/1.41 # ...of these trivial : 0
% 0.22/1.41 # ...subsumed : 0
% 0.22/1.41 # ...remaining for further processing : 24
% 0.22/1.41 # Other redundant clauses eliminated : 5
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 0
% 0.22/1.41 # Backward-rewritten : 0
% 0.22/1.41 # Generated clauses : 60
% 0.22/1.41 # ...of the previous two non-trivial : 32
% 0.22/1.41 # Contextual simplify-reflections : 0
% 0.22/1.41 # Paramodulations : 53
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 7
% 0.22/1.41 # Current number of processed clauses : 19
% 0.22/1.41 # Positive orientable unit clauses : 8
% 0.22/1.41 # Positive unorientable unit clauses: 2
% 0.22/1.41 # Negative unit clauses : 4
% 0.22/1.41 # Non-unit-clauses : 5
% 0.22/1.41 # Current number of unprocessed clauses: 65
% 0.22/1.41 # ...number of literals in the above : 105
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 1
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 1
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 1
% 0.22/1.41 # Non-unit clause-clause subsumptions : 0
% 0.22/1.41 # Unit Clause-clause subsumption calls : 4
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 17
% 0.22/1.41 # BW rewrite match successes : 17
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 3360
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.016 s
% 0.22/1.41 # System time : 0.002 s
% 0.22/1.41 # Total time : 0.018 s
% 0.22/1.41 # Maximum resident set size: 2888 pages
%------------------------------------------------------------------------------