TSTP Solution File: PUZ061+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PUZ061+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 18:10:45 EDT 2022
% Result : Theorem 0.21s 1.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 124 ( 35 ~; 31 |; 39 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 104 ( 28 sgn 59 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ( ! [X7,X8] :
( ( alive(X8)
& eats(X8,X6) )
=> likes(X8,X7) )
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) ) )
=> likes(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_this) ).
fof(c_0_1,plain,
! [X1,X2,X3,X6,X5,X4] :
( epred1_6(X4,X5,X6,X3,X2,X1)
<=> ( ! [X7,X8] :
( ( alive(X8)
& eats(X8,X6) )
=> likes(X8,X7) )
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) ) ) ),
introduced(definition) ).
fof(c_0_2,plain,
! [X1,X2,X3,X6,X5,X4] :
( epred1_6(X4,X5,X6,X3,X2,X1)
=> ( ! [X7,X8] :
( ( alive(X8)
& eats(X8,X6) )
=> likes(X8,X7) )
& ! [X7] :
( food(X7)
=> likes(X2,X7) )
& food(X5)
& food(X6)
& ! [X7] :
( ? [X8] :
( eats(X8,X7)
& not_killed_by(X8,X7) )
=> food(X7) )
& eats(X3,X1)
& alive(X3)
& ! [X7] :
( eats(X3,X7)
=> eats(X4,X7) )
& ! [X8] :
( alive(X8)
=> ! [X7] : not_killed_by(X8,X7) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( epred1_6(X4,X5,X6,X3,X2,X1)
=> likes(X2,X1) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[prove_this]),c_0_1]) ).
fof(c_0_4,plain,
! [X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( ( ~ alive(X16)
| ~ eats(X16,X12)
| likes(X16,X15)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( ~ food(X17)
| likes(X10,X17)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( food(X13)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( food(X12)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( ~ eats(X19,X18)
| ~ not_killed_by(X19,X18)
| food(X18)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( eats(X11,X9)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( alive(X11)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( ~ eats(X11,X20)
| eats(X14,X20)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) )
& ( ~ alive(X21)
| not_killed_by(X21,X22)
| ~ epred1_6(X14,X13,X12,X11,X10,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
fof(c_0_5,negated_conjecture,
( epred1_6(esk4_0,esk5_0,esk6_0,esk3_0,esk2_0,esk1_0)
& ~ likes(esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,plain,
( food(X7)
| ~ epred1_6(X1,X2,X3,X4,X5,X6)
| ~ not_killed_by(X8,X7)
| ~ eats(X8,X7) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
epred1_6(esk4_0,esk5_0,esk6_0,esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( not_killed_by(X7,X8)
| ~ epred1_6(X1,X2,X3,X4,X5,X6)
| ~ alive(X7) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( likes(X5,X7)
| ~ epred1_6(X1,X2,X3,X4,X5,X6)
| ~ food(X7) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( food(X1)
| ~ not_killed_by(X2,X1)
| ~ eats(X2,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( not_killed_by(X1,X2)
| ~ alive(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,plain,
( eats(X4,X6)
| ~ epred1_6(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( alive(X4)
| ~ epred1_6(X1,X2,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,negated_conjecture,
~ likes(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( likes(esk2_0,X1)
| ~ food(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( food(X1)
| ~ eats(X2,X1)
| ~ alive(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
eats(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_18,plain,
alive(esk3_0),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_19,negated_conjecture,
~ food(esk1_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ061+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat May 28 21:36:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.41 # Preprocessing time : 0.014 s
% 0.21/1.41
% 0.21/1.41 # Proof found!
% 0.21/1.41 # SZS status Theorem
% 0.21/1.41 # SZS output start CNFRefutation
% See solution above
% 0.21/1.41 # Proof object total steps : 21
% 0.21/1.41 # Proof object clause steps : 15
% 0.21/1.41 # Proof object formula steps : 6
% 0.21/1.41 # Proof object conjectures : 12
% 0.21/1.41 # Proof object clause conjectures : 9
% 0.21/1.41 # Proof object formula conjectures : 3
% 0.21/1.41 # Proof object initial clauses used : 7
% 0.21/1.41 # Proof object initial formulas used : 1
% 0.21/1.41 # Proof object generating inferences : 8
% 0.21/1.41 # Proof object simplifying inferences : 3
% 0.21/1.41 # Training examples: 0 positive, 0 negative
% 0.21/1.41 # Parsed axioms : 1
% 0.21/1.41 # Removed by relevancy pruning/SinE : 0
% 0.21/1.41 # Initial clauses : 11
% 0.21/1.41 # Removed in clause preprocessing : 0
% 0.21/1.41 # Initial clauses in saturation : 11
% 0.21/1.41 # Processed clauses : 24
% 0.21/1.41 # ...of these trivial : 0
% 0.21/1.41 # ...subsumed : 0
% 0.21/1.41 # ...remaining for further processing : 24
% 0.21/1.41 # Other redundant clauses eliminated : 0
% 0.21/1.41 # Clauses deleted for lack of memory : 0
% 0.21/1.41 # Backward-subsumed : 2
% 0.21/1.41 # Backward-rewritten : 0
% 0.21/1.41 # Generated clauses : 15
% 0.21/1.41 # ...of the previous two non-trivial : 14
% 0.21/1.41 # Contextual simplify-reflections : 0
% 0.21/1.41 # Paramodulations : 15
% 0.21/1.41 # Factorizations : 0
% 0.21/1.41 # Equation resolutions : 0
% 0.21/1.41 # Current number of processed clauses : 22
% 0.21/1.41 # Positive orientable unit clauses : 6
% 0.21/1.41 # Positive unorientable unit clauses: 0
% 0.21/1.41 # Negative unit clauses : 2
% 0.21/1.41 # Non-unit-clauses : 14
% 0.21/1.41 # Current number of unprocessed clauses: 1
% 0.21/1.41 # ...number of literals in the above : 1
% 0.21/1.41 # Current number of archived formulas : 0
% 0.21/1.41 # Current number of archived clauses : 2
% 0.21/1.41 # Clause-clause subsumption calls (NU) : 33
% 0.21/1.41 # Rec. Clause-clause subsumption calls : 28
% 0.21/1.41 # Non-unit clause-clause subsumptions : 2
% 0.21/1.41 # Unit Clause-clause subsumption calls : 11
% 0.21/1.41 # Rewrite failures with RHS unbound : 0
% 0.21/1.41 # BW rewrite match attempts : 0
% 0.21/1.41 # BW rewrite match successes : 0
% 0.21/1.41 # Condensation attempts : 0
% 0.21/1.41 # Condensation successes : 0
% 0.21/1.41 # Termbank termtop insertions : 903
% 0.21/1.41
% 0.21/1.41 # -------------------------------------------------
% 0.21/1.41 # User time : 0.012 s
% 0.21/1.41 # System time : 0.003 s
% 0.21/1.41 # Total time : 0.015 s
% 0.21/1.41 # Maximum resident set size: 2772 pages
%------------------------------------------------------------------------------