TSTP Solution File: ALG171+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG171+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 : Thu Jul 14 16:49:32 EDT 2022
% Result : Theorem 0.15s 1.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 157 ( 149 equ)
% Maximal formula atoms : 50 ( 13 avg)
% Number of connectives : 214 ( 69 ~; 13 |; 131 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 )
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e4)) = e4
& op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e4)) = e4
& op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e4)) = e4
& op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e4)) = e4
& op(e4,op(e4,e0)) = e0
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e3)) = e3
& op(e4,op(e4,e4)) = e4 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax6,axiom,
( e0 = op(e4,op(e4,e4))
& e1 = op(e4,e4)
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax6) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax5) ).
fof(c_0_3,plain,
( epred2_0
<=> ( ( op(e0,e0) != e0
& op(e1,e0) != e1
& op(e2,e0) != e2
& op(e3,e0) != e3
& op(e4,e0) != e4 )
| ( op(e0,e1) != e0
& op(e1,e1) != e1
& op(e2,e1) != e2
& op(e3,e1) != e3
& op(e4,e1) != e4 )
| ( op(e0,e2) != e0
& op(e1,e2) != e1
& op(e2,e2) != e2
& op(e3,e2) != e3
& op(e4,e2) != e4 )
| ( op(e0,e3) != e0
& op(e1,e3) != e1
& op(e2,e3) != e2
& op(e3,e3) != e3
& op(e4,e3) != e4 ) ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ~ ( ( epred2_0
| ( op(e0,e4) != e0
& op(e1,e4) != e1
& op(e2,e4) != e2
& op(e3,e4) != e3
& op(e4,e4) != e4 ) )
& op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e4)) = e4
& op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e4)) = e4
& op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e4)) = e4
& op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e4)) = e4
& op(e4,op(e4,e0)) = e0
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e3)) = e3
& op(e4,op(e4,e4)) = e4 ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_3]) ).
fof(c_0_5,negated_conjecture,
( ( op(e0,e4) != e0
| epred2_0 )
& ( op(e1,e4) != e1
| epred2_0 )
& ( op(e2,e4) != e2
| epred2_0 )
& ( op(e3,e4) != e3
| epred2_0 )
& ( op(e4,e4) != e4
| epred2_0 )
& op(e0,op(e0,e0)) = e0
& op(e0,op(e0,e1)) = e1
& op(e0,op(e0,e2)) = e2
& op(e0,op(e0,e3)) = e3
& op(e0,op(e0,e4)) = e4
& op(e1,op(e1,e0)) = e0
& op(e1,op(e1,e1)) = e1
& op(e1,op(e1,e2)) = e2
& op(e1,op(e1,e3)) = e3
& op(e1,op(e1,e4)) = e4
& op(e2,op(e2,e0)) = e0
& op(e2,op(e2,e1)) = e1
& op(e2,op(e2,e2)) = e2
& op(e2,op(e2,e3)) = e3
& op(e2,op(e2,e4)) = e4
& op(e3,op(e3,e0)) = e0
& op(e3,op(e3,e1)) = e1
& op(e3,op(e3,e2)) = e2
& op(e3,op(e3,e3)) = e3
& op(e3,op(e3,e4)) = e4
& op(e4,op(e4,e0)) = e0
& op(e4,op(e4,e1)) = e1
& op(e4,op(e4,e2)) = e2
& op(e4,op(e4,e3)) = e3
& op(e4,op(e4,e4)) = e4 ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
cnf(c_0_6,plain,
e0 = op(e4,op(e4,e4)),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_7,plain,
e1 = op(e4,e4),
inference(split_conjunct,[status(thm)],[ax6]) ).
cnf(c_0_8,negated_conjecture,
op(e4,op(e4,e4)) = e4,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
op(e4,e1) = e0,
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
e0 != e4,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7]),c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : ALG171+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.08 % Command : run_ET %s %d
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Wed Jun 8 19:07:10 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.15/1.33 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.15/1.33 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.15/1.33 # Preprocessing time : 0.026 s
% 0.15/1.33
% 0.15/1.33 # Proof found!
% 0.15/1.33 # SZS status Theorem
% 0.15/1.33 # SZS output start CNFRefutation
% See solution above
% 0.15/1.33 # Proof object total steps : 12
% 0.15/1.33 # Proof object clause steps : 6
% 0.15/1.33 # Proof object formula steps : 6
% 0.15/1.33 # Proof object conjectures : 5
% 0.15/1.33 # Proof object clause conjectures : 2
% 0.15/1.33 # Proof object formula conjectures : 3
% 0.15/1.33 # Proof object initial clauses used : 4
% 0.15/1.33 # Proof object initial formulas used : 3
% 0.15/1.33 # Proof object generating inferences : 0
% 0.15/1.33 # Proof object simplifying inferences : 4
% 0.15/1.33 # Training examples: 0 positive, 0 negative
% 0.15/1.33 # Parsed axioms : 7
% 0.15/1.33 # Removed by relevancy pruning/SinE : 0
% 0.15/1.33 # Initial clauses : 294
% 0.15/1.33 # Removed in clause preprocessing : 0
% 0.15/1.33 # Initial clauses in saturation : 294
% 0.15/1.33 # Processed clauses : 52
% 0.15/1.33 # ...of these trivial : 0
% 0.15/1.33 # ...subsumed : 0
% 0.15/1.33 # ...remaining for further processing : 51
% 0.15/1.33 # Other redundant clauses eliminated : 0
% 0.15/1.33 # Clauses deleted for lack of memory : 0
% 0.15/1.33 # Backward-subsumed : 0
% 0.15/1.33 # Backward-rewritten : 1
% 0.15/1.33 # Generated clauses : 0
% 0.15/1.33 # ...of the previous two non-trivial : 0
% 0.15/1.33 # Contextual simplify-reflections : 0
% 0.15/1.33 # Paramodulations : 0
% 0.15/1.33 # Factorizations : 0
% 0.15/1.33 # Equation resolutions : 0
% 0.15/1.33 # Current number of processed clauses : 50
% 0.15/1.33 # Positive orientable unit clauses : 25
% 0.15/1.33 # Positive unorientable unit clauses: 0
% 0.15/1.33 # Negative unit clauses : 20
% 0.15/1.33 # Non-unit-clauses : 5
% 0.15/1.33 # Current number of unprocessed clauses: 242
% 0.15/1.33 # ...number of literals in the above : 667
% 0.15/1.33 # Current number of archived formulas : 0
% 0.15/1.33 # Current number of archived clauses : 1
% 0.15/1.33 # Clause-clause subsumption calls (NU) : 1
% 0.15/1.33 # Rec. Clause-clause subsumption calls : 1
% 0.15/1.33 # Non-unit clause-clause subsumptions : 0
% 0.15/1.33 # Unit Clause-clause subsumption calls : 5
% 0.15/1.33 # Rewrite failures with RHS unbound : 0
% 0.15/1.33 # BW rewrite match attempts : 1
% 0.15/1.33 # BW rewrite match successes : 1
% 0.15/1.33 # Condensation attempts : 0
% 0.15/1.33 # Condensation successes : 0
% 0.15/1.33 # Termbank termtop insertions : 14683
% 0.15/1.33
% 0.15/1.33 # -------------------------------------------------
% 0.15/1.33 # User time : 0.027 s
% 0.15/1.33 # System time : 0.000 s
% 0.15/1.33 # Total time : 0.027 s
% 0.15/1.33 # Maximum resident set size: 3264 pages
%------------------------------------------------------------------------------