TSTP Solution File: PUZ031+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 76 ( 23 unt; 0 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 238 ( 103 ~; 99 |; 22 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 106 ( 2 sgn 42 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel47_7,axiom,
! [X1] :
( animal(X1)
=> ( ! [X3] :
( plant(X3)
=> eats(X1,X3) )
| ! [X4] :
( ( animal(X4)
& much_smaller(X4,X1)
& ? [X5] :
( plant(X5)
& eats(X4,X5) ) )
=> eats(X1,X4) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_7) ).
fof(pel47_8,axiom,
! [X1,X3] :
( ( bird(X3)
& ( snail(X1)
| caterpillar(X1) ) )
=> much_smaller(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_8) ).
fof(pel47_3_1,axiom,
! [X1] :
( bird(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_3_1) ).
fof(pel47_5_1,axiom,
! [X1] :
( snail(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_5_1) ).
fof(pel47_13,axiom,
! [X1,X3] :
( ( bird(X1)
& snail(X3) )
=> ~ eats(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_13) ).
fof(pel47_14,axiom,
! [X1] :
( ( caterpillar(X1)
| snail(X1) )
=> ? [X3] :
( plant(X3)
& eats(X1,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_14) ).
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(pel47_6_1,axiom,
? [X1] : grain(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_6_1) ).
fof(pel47_5_2,axiom,
? [X2] : snail(X2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_5_2) ).
fof(pel47_9,axiom,
! [X1,X3] :
( ( bird(X1)
& fox(X3) )
=> much_smaller(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_9) ).
fof(pel47_2_1,axiom,
! [X1] :
( fox(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_2_1) ).
fof(pel47_3_2,axiom,
? [X2] : bird(X2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_3_2) ).
fof(pel47,conjecture,
? [X1,X3] :
( animal(X1)
& animal(X3)
& ? [X5] :
( grain(X5)
& eats(X3,X5)
& eats(X1,X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47) ).
fof(pel47_2_2,axiom,
? [X2] : fox(X2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_2_2) ).
fof(pel47_10,axiom,
! [X1,X3] :
( ( fox(X1)
& wolf(X3) )
=> much_smaller(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_10) ).
fof(pel47_1_1,axiom,
! [X1] :
( wolf(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_1_1) ).
fof(pel47_11,axiom,
! [X1,X3] :
( ( wolf(X1)
& ( fox(X3)
| grain(X3) ) )
=> ~ eats(X1,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_11) ).
fof(pel47_1_2,axiom,
? [X2] : wolf(X2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel47_1_2) ).
fof(c_0_18,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_19,plain,
! [X4,X5] :
( ( ~ snail(X4)
| ~ bird(X5)
| much_smaller(X4,X5) )
& ( ~ caterpillar(X4)
| ~ bird(X5)
| much_smaller(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_8])])]) ).
fof(c_0_20,plain,
! [X2] :
( ~ bird(X2)
| animal(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_3_1])]) ).
fof(c_0_21,plain,
! [X2] :
( ~ snail(X2)
| animal(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_5_1])]) ).
fof(c_0_22,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_23,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_18]) ).
cnf(c_0_24,plain,
( much_smaller(X1,X2)
| ~ bird(X2)
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( animal(X1)
| ~ bird(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( animal(X1)
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( ~ eats(X1,X2)
| ~ snail(X2)
| ~ bird(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X4] :
( ( plant(esk5_1(X4))
| ~ caterpillar(X4) )
& ( eats(X4,esk5_1(X4))
| ~ caterpillar(X4) )
& ( plant(esk5_1(X4))
| ~ snail(X4) )
& ( eats(X4,esk5_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_14])])])])])]) ).
fof(c_0_29,plain,
! [X3] :
( ~ grain(X3)
| plant(X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_6_2])]) ).
fof(c_0_30,plain,
grain(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_6_1])]) ).
cnf(c_0_31,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_23,c_0_24]),c_0_25]),c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
( eats(X1,esk5_1(X1))
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( plant(esk5_1(X1))
| ~ snail(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( plant(X1)
| ~ grain(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
grain(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( eats(X1,X2)
| ~ plant(X2)
| ~ snail(X3)
| ~ bird(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_37,plain,
plant(esk1_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_38,plain,
snail(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_5_2])]) ).
fof(c_0_39,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_40,plain,
! [X2] :
( ~ fox(X2)
| animal(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_2_1])]) ).
cnf(c_0_41,plain,
( eats(X1,esk1_0)
| ~ snail(X2)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
snail(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_43,plain,
bird(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_3_2])]) ).
fof(c_0_44,negated_conjecture,
~ ? [X1,X3] :
( animal(X1)
& animal(X3)
& ? [X5] :
( grain(X5)
& eats(X3,X5)
& eats(X1,X3) ) ),
inference(assume_negation,[status(cth)],[pel47]) ).
cnf(c_0_45,plain,
( much_smaller(X1,X2)
| ~ fox(X2)
| ~ bird(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( animal(X1)
| ~ fox(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
( eats(X1,esk1_0)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
bird(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_49,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_44])])])])]) ).
fof(c_0_50,plain,
fox(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_2_2])]) ).
cnf(c_0_51,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_23,c_0_45]),c_0_46]),c_0_25]) ).
cnf(c_0_52,plain,
eats(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( ~ eats(X1,X2)
| ~ eats(X2,X3)
| ~ grain(X3)
| ~ animal(X2)
| ~ animal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,plain,
animal(esk3_0),
inference(spm,[status(thm)],[c_0_25,c_0_48]) ).
cnf(c_0_55,plain,
fox(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_56,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_57,plain,
! [X2] :
( ~ wolf(X2)
| animal(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_1_1])]) ).
fof(c_0_58,plain,
! [X4,X5] :
( ( ~ fox(X5)
| ~ wolf(X4)
| ~ eats(X4,X5) )
& ( ~ grain(X5)
| ~ wolf(X4)
| ~ eats(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pel47_11])])])]) ).
cnf(c_0_59,plain,
( eats(X1,esk3_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_51,c_0_52]),c_0_37]),c_0_48])]) ).
cnf(c_0_60,negated_conjecture,
( ~ eats(X1,esk3_0)
| ~ animal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_35]),c_0_54])]) ).
cnf(c_0_61,plain,
animal(esk6_0),
inference(spm,[status(thm)],[c_0_46,c_0_55]) ).
cnf(c_0_62,plain,
( much_smaller(X1,X2)
| ~ wolf(X2)
| ~ fox(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,plain,
( animal(X1)
| ~ wolf(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_64,plain,
( ~ eats(X1,X2)
| ~ wolf(X1)
| ~ fox(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,plain,
( eats(X1,esk1_0)
| eats(X1,esk3_0)
| ~ fox(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_37]) ).
cnf(c_0_66,negated_conjecture,
~ eats(esk6_0,esk3_0),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,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_23,c_0_62]),c_0_63]),c_0_46]),c_0_64]) ).
cnf(c_0_68,plain,
eats(esk6_0,esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_55]),c_0_66]) ).
cnf(c_0_69,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_67,c_0_68]),c_0_37]),c_0_55])]) ).
fof(c_0_70,plain,
wolf(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_1_2])]) ).
cnf(c_0_71,plain,
( eats(X1,esk1_0)
| ~ wolf(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_37]) ).
cnf(c_0_72,plain,
wolf(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_73,plain,
( ~ eats(X1,X2)
| ~ wolf(X1)
| ~ grain(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_74,plain,
eats(esk7_0,esk1_0),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_35]),c_0_72])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 23:12:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.015 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 76
% 0.24/1.41 # Proof object clause steps : 39
% 0.24/1.41 # Proof object formula steps : 37
% 0.24/1.41 # Proof object conjectures : 6
% 0.24/1.41 # Proof object clause conjectures : 3
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 20
% 0.24/1.41 # Proof object initial formulas used : 18
% 0.24/1.41 # Proof object generating inferences : 19
% 0.24/1.41 # Proof object simplifying inferences : 22
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 21
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 26
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 26
% 0.24/1.41 # Processed clauses : 90
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 4
% 0.24/1.41 # ...remaining for further processing : 86
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 14
% 0.24/1.41 # Backward-rewritten : 1
% 0.24/1.41 # Generated clauses : 100
% 0.24/1.41 # ...of the previous two non-trivial : 96
% 0.24/1.41 # Contextual simplify-reflections : 26
% 0.24/1.41 # Paramodulations : 100
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 71
% 0.24/1.41 # Positive orientable unit clauses : 16
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 6
% 0.24/1.41 # Non-unit-clauses : 49
% 0.24/1.41 # Current number of unprocessed clauses: 23
% 0.24/1.41 # ...number of literals in the above : 88
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 15
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 681
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 191
% 0.24/1.41 # Non-unit clause-clause subsumptions : 44
% 0.24/1.41 # Unit Clause-clause subsumption calls : 189
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 1
% 0.24/1.41 # BW rewrite match successes : 1
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 3074
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.016 s
% 0.24/1.41 # System time : 0.005 s
% 0.24/1.41 # Total time : 0.021 s
% 0.24/1.41 # Maximum resident set size: 2968 pages
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