TSTP Solution File: PUZ031+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 18:10:42 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 79 ( 23 unt; 0 def)
% Number of atoms : 206 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 227 ( 100 ~; 93 |; 19 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 110 ( 2 sgn 46 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel47_7,axiom,
! [X2] :
( animal(X2)
=> ( ! [X3] :
( plant(X3)
=> eats(X2,X3) )
| ! [X4] :
( ( animal(X4)
& much_smaller(X4,X2)
& ? [X5] :
( plant(X5)
& eats(X4,X5) ) )
=> eats(X2,X4) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_7) ).
fof(pel47_8,axiom,
! [X3,X2] :
( ( bird(X3)
& snail(X2) )
=> much_smaller(X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_8) ).
fof(pel47_3_1,axiom,
! [X2] :
( bird(X2)
=> animal(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_3_1) ).
fof(pel47_4_2,axiom,
! [X2] :
( snail(X2)
=> animal(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_4_2) ).
fof(pel47_13,axiom,
! [X2,X3] :
( ( bird(X2)
& snail(X3) )
=> ~ eats(X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_13) ).
fof(pel47_14a,axiom,
! [X2] :
( snail(X2)
=> ? [X3] :
( plant(X3)
& eats(X2,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_14a) ).
fof(pel47_6_2,axiom,
! [X2] :
( grain(X2)
=> plant(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_6_2) ).
fof(grain_type,axiom,
? [X1] : grain(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',grain_type) ).
fof(snail_type,axiom,
? [X1] : snail(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',snail_type) ).
fof(pel47_9,axiom,
! [X2,X3] :
( ( bird(X2)
& fox(X3) )
=> much_smaller(X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_9) ).
fof(pel47_2_1,axiom,
! [X2] :
( fox(X2)
=> animal(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_2_1) ).
fof(bird_type,axiom,
? [X1] : bird(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',bird_type) ).
fof(pel47,conjecture,
? [X2,X3] :
( animal(X2)
& animal(X3)
& ? [X5] :
( grain(X5)
& eats(X3,X5)
& eats(X2,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47) ).
fof(fox_type,axiom,
? [X1] : fox(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fox_type) ).
fof(pel47_10,axiom,
! [X2,X3] :
( ( fox(X2)
& wolf(X3) )
=> much_smaller(X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_10) ).
fof(pel47_1_1,axiom,
! [X2] :
( wolf(X2)
=> animal(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_1_1) ).
fof(pel47_11,axiom,
! [X2,X3] :
( ( wolf(X2)
& fox(X3) )
=> ~ eats(X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_11) ).
fof(wolf_type,axiom,
? [X1] : wolf(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',wolf_type) ).
fof(pel47_11a,axiom,
! [X2,X3] :
( ( wolf(X2)
& grain(X3) )
=> ~ eats(X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_11a) ).
fof(c_0_19,plain,
! [X6,X7,X8,X9] :
( ~ animal(X6)
| ~ plant(X7)
| eats(X6,X7)
| ~ animal(X8)
| ~ much_smaller(X8,X6)
| ~ plant(X9)
| ~ eats(X8,X9)
| eats(X6,X8) ),
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)],[pel47_7])])])])]) ).
fof(c_0_20,plain,
! [X4,X5] :
( ~ bird(X4)
| ~ snail(X5)
| much_smaller(X5,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_8])]) ).
fof(c_0_21,plain,
! [X3] :
( ~ bird(X3)
| animal(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_3_1])]) ).
fof(c_0_22,plain,
! [X3] :
( ~ snail(X3)
| animal(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_4_2])]) ).
fof(c_0_23,plain,
! [X4,X5] :
( ~ bird(X4)
| ~ snail(X5)
| ~ eats(X4,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pel47_13])])]) ).
cnf(c_0_24,plain,
( eats(X1,X2)
| eats(X1,X4)
| ~ eats(X2,X3)
| ~ plant(X3)
| ~ much_smaller(X2,X1)
| ~ animal(X2)
| ~ plant(X4)
| ~ animal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( much_smaller(X1,X2)
| ~ snail(X1)
| ~ bird(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( animal(X1)
| ~ bird(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( animal(X1)
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( ~ eats(X1,X2)
| ~ snail(X2)
| ~ bird(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,plain,
! [X4] :
( ( plant(esk3_1(X4))
| ~ snail(X4) )
& ( eats(X4,esk3_1(X4))
| ~ snail(X4) ) ),
inference(distribute,[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)],[pel47_14a])])])])])]) ).
fof(c_0_30,plain,
! [X3] :
( ~ grain(X3)
| plant(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_6_2])]) ).
fof(c_0_31,plain,
grain(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[grain_type])]) ).
cnf(c_0_32,plain,
( eats(X1,X2)
| ~ eats(X3,X4)
| ~ plant(X2)
| ~ plant(X4)
| ~ snail(X3)
| ~ bird(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_33,plain,
( eats(X1,esk3_1(X1))
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( plant(esk3_1(X1))
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( plant(X1)
| ~ grain(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
grain(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
( eats(X1,X2)
| ~ plant(X2)
| ~ snail(X3)
| ~ bird(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_38,plain,
plant(esk1_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_39,plain,
snail(esk8_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[snail_type])]) ).
fof(c_0_40,plain,
! [X4,X5] :
( ~ bird(X4)
| ~ fox(X5)
| much_smaller(X4,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_9])]) ).
fof(c_0_41,plain,
! [X3] :
( ~ fox(X3)
| animal(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_2_1])]) ).
cnf(c_0_42,plain,
( eats(X1,esk1_0)
| ~ snail(X2)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
snail(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_44,plain,
bird(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[bird_type])]) ).
cnf(c_0_45,plain,
( much_smaller(X1,X2)
| ~ fox(X2)
| ~ bird(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,plain,
( animal(X1)
| ~ fox(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( eats(X1,esk1_0)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
bird(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_49,negated_conjecture,
~ ? [X2,X3] :
( animal(X2)
& animal(X3)
& ? [X5] :
( grain(X5)
& eats(X3,X5)
& eats(X2,X3) ) ),
inference(assume_negation,[status(cth)],[pel47]) ).
cnf(c_0_50,plain,
( eats(X1,X2)
| eats(X1,X3)
| ~ eats(X3,X4)
| ~ plant(X2)
| ~ plant(X4)
| ~ bird(X3)
| ~ fox(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_45]),c_0_46]),c_0_26]) ).
cnf(c_0_51,plain,
eats(esk6_0,esk1_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_52,negated_conjecture,
! [X6,X7,X8] :
( ~ animal(X6)
| ~ animal(X7)
| ~ grain(X8)
| ~ eats(X7,X8)
| ~ eats(X6,X7) ),
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_49])])])])]) ).
fof(c_0_53,plain,
fox(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fox_type])]) ).
cnf(c_0_54,plain,
( eats(X1,esk6_0)
| eats(X1,X2)
| ~ plant(X2)
| ~ fox(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_38]),c_0_48])]) ).
cnf(c_0_55,negated_conjecture,
( ~ eats(X1,X2)
| ~ eats(X2,X3)
| ~ grain(X3)
| ~ animal(X2)
| ~ animal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_56,plain,
animal(esk6_0),
inference(spm,[status(thm)],[c_0_26,c_0_48]) ).
cnf(c_0_57,plain,
fox(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_58,plain,
! [X4,X5] :
( ~ fox(X4)
| ~ wolf(X5)
| much_smaller(X4,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_10])]) ).
fof(c_0_59,plain,
! [X3] :
( ~ wolf(X3)
| animal(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_1_1])]) ).
fof(c_0_60,plain,
! [X4,X5] :
( ~ wolf(X4)
| ~ fox(X5)
| ~ eats(X4,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pel47_11])])]) ).
cnf(c_0_61,plain,
( eats(X1,esk1_0)
| eats(X1,esk6_0)
| ~ fox(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_38]) ).
cnf(c_0_62,negated_conjecture,
( ~ eats(X1,esk6_0)
| ~ animal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_51]),c_0_36]),c_0_56])]) ).
cnf(c_0_63,plain,
animal(esk5_0),
inference(spm,[status(thm)],[c_0_46,c_0_57]) ).
cnf(c_0_64,plain,
( much_smaller(X1,X2)
| ~ wolf(X2)
| ~ fox(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,plain,
( animal(X1)
| ~ wolf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,plain,
( ~ eats(X1,X2)
| ~ fox(X2)
| ~ wolf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,plain,
( eats(esk5_0,esk6_0)
| eats(esk5_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_57]) ).
cnf(c_0_68,negated_conjecture,
~ eats(esk5_0,esk6_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
( eats(X1,X2)
| ~ eats(X3,X4)
| ~ plant(X2)
| ~ plant(X4)
| ~ fox(X3)
| ~ wolf(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_64]),c_0_65]),c_0_46]),c_0_66]) ).
cnf(c_0_70,plain,
eats(esk5_0,esk1_0),
inference(sr,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_71,plain,
( eats(X1,X2)
| ~ plant(X2)
| ~ wolf(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_38]),c_0_57])]) ).
fof(c_0_72,plain,
wolf(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[wolf_type])]) ).
fof(c_0_73,plain,
! [X4,X5] :
( ~ wolf(X4)
| ~ grain(X5)
| ~ eats(X4,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pel47_11a])])]) ).
cnf(c_0_74,plain,
( eats(X1,esk1_0)
| ~ wolf(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_38]) ).
cnf(c_0_75,plain,
wolf(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_76,plain,
( ~ eats(X1,X2)
| ~ grain(X2)
| ~ wolf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_77,plain,
eats(esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_36]),c_0_75])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n022.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 : Sat May 28 21:52:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.015 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 79
% 0.22/1.40 # Proof object clause steps : 40
% 0.22/1.40 # Proof object formula steps : 39
% 0.22/1.40 # Proof object conjectures : 6
% 0.22/1.40 # Proof object clause conjectures : 3
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 20
% 0.22/1.40 # Proof object initial formulas used : 19
% 0.22/1.40 # Proof object generating inferences : 19
% 0.22/1.40 # Proof object simplifying inferences : 22
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 24
% 0.22/1.40 # Removed by relevancy pruning/SinE : 0
% 0.22/1.40 # Initial clauses : 26
% 0.22/1.40 # Removed in clause preprocessing : 0
% 0.22/1.40 # Initial clauses in saturation : 26
% 0.22/1.40 # Processed clauses : 98
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 6
% 0.22/1.40 # ...remaining for further processing : 92
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 14
% 0.22/1.40 # Backward-rewritten : 1
% 0.22/1.40 # Generated clauses : 112
% 0.22/1.40 # ...of the previous two non-trivial : 108
% 0.22/1.40 # Contextual simplify-reflections : 27
% 0.22/1.40 # Paramodulations : 111
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 76
% 0.22/1.40 # Positive orientable unit clauses : 16
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 8
% 0.22/1.40 # Non-unit-clauses : 52
% 0.22/1.40 # Current number of unprocessed clauses: 24
% 0.22/1.40 # ...number of literals in the above : 87
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 16
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 710
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 176
% 0.22/1.40 # Non-unit clause-clause subsumptions : 46
% 0.22/1.40 # Unit Clause-clause subsumption calls : 209
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 1
% 0.22/1.40 # BW rewrite match successes : 1
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 3280
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.021 s
% 0.22/1.40 # System time : 0.000 s
% 0.22/1.40 # Total time : 0.021 s
% 0.22/1.40 # Maximum resident set size: 2964 pages
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