TSTP Solution File: PUZ031_1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : PUZ031_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:12:44 EDT 2023
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 46 ( 26 unt; 10 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 22 ~; 13 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 12 ( 10 >; 2 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 0 con; 1-1 aty)
% Number of variables : 81 ( 0 sgn; 73 !; 8 ?; 81 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
wolf_to_animal: wolf > animal ).
tff(decl_23,type,
fox_to_animal: fox > animal ).
tff(decl_24,type,
bird_to_animal: bird > animal ).
tff(decl_26,type,
snail_to_animal: snail > animal ).
tff(decl_27,type,
grain_to_plant: grain > plant ).
tff(decl_28,type,
animal_to_edible: animal > edible ).
tff(decl_29,type,
plant_to_edible: plant > edible ).
tff(decl_30,type,
eats: ( animal * edible ) > $o ).
tff(decl_31,type,
much_smaller: ( animal * animal ) > $o ).
tff(decl_33,type,
esk2_1: snail > plant ).
tff(pel47_7,axiom,
! [X1: animal] :
( ! [X2: plant] : eats(X1,plant_to_edible(X2))
| ! [X3: animal] :
( ( much_smaller(X3,X1)
& ? [X4: plant] : eats(X3,plant_to_edible(X4)) )
=> eats(X1,animal_to_edible(X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.oKGKqoe921/E---3.1_16239.p',pel47_7) ).
tff(pel47_14a,axiom,
! [X22: snail] :
? [X2: plant] : eats(snail_to_animal(X22),plant_to_edible(X2)),
file('/export/starexec/sandbox2/tmp/tmp.oKGKqoe921/E---3.1_16239.p',pel47_14a) ).
tff(pel47_13,axiom,
! [X19: bird,X20: snail] : ~ eats(bird_to_animal(X19),animal_to_edible(snail_to_animal(X20))),
file('/export/starexec/sandbox2/tmp/tmp.oKGKqoe921/E---3.1_16239.p',pel47_13) ).
tff(pel47,conjecture,
? [X1: animal,X23: animal,X24: grain] :
( eats(X23,plant_to_edible(grain_to_plant(X24)))
& eats(X1,animal_to_edible(X23)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKGKqoe921/E---3.1_16239.p',pel47) ).
tff(pel47_8,axiom,
! [X5: snail,X6: bird] : much_smaller(snail_to_animal(X5),bird_to_animal(X6)),
file('/export/starexec/sandbox2/tmp/tmp.oKGKqoe921/E---3.1_16239.p',pel47_8) ).
tff(pel47_9,axiom,
! [X9: bird,X10: fox] : much_smaller(bird_to_animal(X9),fox_to_animal(X10)),
file('/export/starexec/sandbox2/tmp/tmp.oKGKqoe921/E---3.1_16239.p',pel47_9) ).
tff(pel47_11a,axiom,
! [X15: wolf,X16: grain] : ~ eats(wolf_to_animal(X15),plant_to_edible(grain_to_plant(X16))),
file('/export/starexec/sandbox2/tmp/tmp.oKGKqoe921/E---3.1_16239.p',pel47_11a) ).
tff(pel47_10,axiom,
! [X11: fox,X12: wolf] : much_smaller(fox_to_animal(X11),wolf_to_animal(X12)),
file('/export/starexec/sandbox2/tmp/tmp.oKGKqoe921/E---3.1_16239.p',pel47_10) ).
tff(c_0_8,plain,
! [X28: animal,X29: plant,X30: animal,X31: plant] :
( eats(X28,plant_to_edible(X29))
| ~ much_smaller(X30,X28)
| ~ eats(X30,plant_to_edible(X31))
| eats(X28,animal_to_edible(X30)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel47_7])])]) ).
tff(c_0_9,plain,
! [X42: snail] : eats(snail_to_animal(X42),plant_to_edible(esk2_1(X42))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel47_14a])]) ).
tff(c_0_10,plain,
! [X19: bird,X20: snail] : ~ eats(bird_to_animal(X19),animal_to_edible(snail_to_animal(X20))),
inference(fof_simplification,[status(thm)],[pel47_13]) ).
tff(c_0_11,negated_conjecture,
~ ? [X1: animal,X23: animal,X24: grain] :
( eats(X23,plant_to_edible(grain_to_plant(X24)))
& eats(X1,animal_to_edible(X23)) ),
inference(assume_negation,[status(cth)],[pel47]) ).
tcf(c_0_12,plain,
! [X1: animal,X2: plant,X3: animal,X4: plant] :
( eats(X1,plant_to_edible(X2))
| eats(X1,animal_to_edible(X3))
| ~ much_smaller(X3,X1)
| ~ eats(X3,plant_to_edible(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_13,plain,
! [X5: snail] : eats(snail_to_animal(X5),plant_to_edible(esk2_1(X5))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tff(c_0_14,plain,
! [X44: snail,X45: bird] : much_smaller(snail_to_animal(X44),bird_to_animal(X45)),
inference(variable_rename,[status(thm)],[pel47_8]) ).
tff(c_0_15,plain,
! [X38: bird,X39: snail] : ~ eats(bird_to_animal(X38),animal_to_edible(snail_to_animal(X39))),
inference(variable_rename,[status(thm)],[c_0_10]) ).
tff(c_0_16,negated_conjecture,
! [X25: animal,X26: animal,X27: grain] :
( ~ eats(X26,plant_to_edible(grain_to_plant(X27)))
| ~ eats(X25,animal_to_edible(X26)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
tcf(c_0_17,plain,
! [X5: snail,X2: plant,X1: animal] :
( eats(X1,animal_to_edible(snail_to_animal(X5)))
| eats(X1,plant_to_edible(X2))
| ~ much_smaller(snail_to_animal(X5),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
tcf(c_0_18,plain,
! [X5: snail,X6: bird] : much_smaller(snail_to_animal(X5),bird_to_animal(X6)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
tcf(c_0_19,plain,
! [X6: bird,X5: snail] : ~ eats(bird_to_animal(X6),animal_to_edible(snail_to_animal(X5))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_20,negated_conjecture,
! [X16: grain,X3: animal,X1: animal] :
( ~ eats(X1,plant_to_edible(grain_to_plant(X16)))
| ~ eats(X3,animal_to_edible(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
tcf(c_0_21,plain,
! [X6: bird,X2: plant] : eats(bird_to_animal(X6),plant_to_edible(X2)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
tcf(c_0_22,negated_conjecture,
! [X1: animal,X6: bird] : ~ eats(X1,animal_to_edible(bird_to_animal(X6))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
tff(c_0_23,plain,
! [X48: bird,X49: fox] : much_smaller(bird_to_animal(X48),fox_to_animal(X49)),
inference(variable_rename,[status(thm)],[pel47_9]) ).
tcf(c_0_24,plain,
! [X6: bird,X2: plant,X1: animal] :
( eats(X1,plant_to_edible(X2))
| ~ much_smaller(bird_to_animal(X6),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_22]) ).
tcf(c_0_25,plain,
! [X6: bird,X10: fox] : much_smaller(bird_to_animal(X6),fox_to_animal(X10)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
tcf(c_0_26,plain,
! [X10: fox,X2: plant] : eats(fox_to_animal(X10),plant_to_edible(X2)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
tff(c_0_27,plain,
! [X15: wolf,X16: grain] : ~ eats(wolf_to_animal(X15),plant_to_edible(grain_to_plant(X16))),
inference(fof_simplification,[status(thm)],[pel47_11a]) ).
tcf(c_0_28,negated_conjecture,
! [X1: animal,X10: fox] : ~ eats(X1,animal_to_edible(fox_to_animal(X10))),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
tff(c_0_29,plain,
! [X50: fox,X51: wolf] : much_smaller(fox_to_animal(X50),wolf_to_animal(X51)),
inference(variable_rename,[status(thm)],[pel47_10]) ).
tff(c_0_30,plain,
! [X34: wolf,X35: grain] : ~ eats(wolf_to_animal(X34),plant_to_edible(grain_to_plant(X35))),
inference(variable_rename,[status(thm)],[c_0_27]) ).
tcf(c_0_31,plain,
! [X10: fox,X2: plant,X1: animal] :
( eats(X1,plant_to_edible(X2))
| ~ much_smaller(fox_to_animal(X10),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_26]),c_0_28]) ).
tcf(c_0_32,plain,
! [X10: fox,X12: wolf] : much_smaller(fox_to_animal(X10),wolf_to_animal(X12)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
tcf(c_0_33,plain,
! [X12: wolf,X16: grain] : ~ eats(wolf_to_animal(X12),plant_to_edible(grain_to_plant(X16))),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
tcf(c_0_34,plain,
! [X12: wolf,X2: plant] : eats(wolf_to_animal(X12),plant_to_edible(X2)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : PUZ031_1 : TPTP v8.1.2. Released v5.0.0.
% 0.05/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n011.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Oct 2 18:55:08 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.oKGKqoe921/E---3.1_16239.p
% 0.14/0.41 # Version: 3.1pre001
% 0.14/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 # Starting sh5l with 300s (1) cores
% 0.14/0.41 # sh5l with pid 16319 completed with status 0
% 0.14/0.41 # Result found by sh5l
% 0.14/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 # Starting sh5l with 300s (1) cores
% 0.14/0.41 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.41 # Search class: FGHNM-FFSF11-SFFFFFNN
% 0.14/0.41 # partial match(1): FGHNF-FFSF11-SFFFFFNN
% 0.14/0.41 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.41 # SAT001_MinMin_p005000_rr_RG with pid 16323 completed with status 0
% 0.14/0.41 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/0.41 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41 # Starting new_bool_3 with 300s (1) cores
% 0.14/0.41 # Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 # Starting sh5l with 300s (1) cores
% 0.14/0.41 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.41 # Search class: FGHNM-FFSF11-SFFFFFNN
% 0.14/0.41 # partial match(1): FGHNF-FFSF11-SFFFFFNN
% 0.14/0.41 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.41 # Preprocessing time : 0.001 s
% 0.14/0.41 # Presaturation interreduction done
% 0.14/0.41
% 0.14/0.41 # Proof found!
% 0.14/0.41 # SZS status Theorem
% 0.14/0.41 # SZS output start CNFRefutation
% See solution above
% 0.14/0.41 # Parsed axioms : 31
% 0.14/0.41 # Removed by relevancy pruning/SinE : 19
% 0.14/0.41 # Initial clauses : 12
% 0.14/0.41 # Removed in clause preprocessing : 0
% 0.14/0.41 # Initial clauses in saturation : 12
% 0.14/0.41 # Processed clauses : 33
% 0.14/0.41 # ...of these trivial : 0
% 0.14/0.41 # ...subsumed : 0
% 0.14/0.41 # ...remaining for further processing : 33
% 0.14/0.41 # Other redundant clauses eliminated : 0
% 0.14/0.41 # Clauses deleted for lack of memory : 0
% 0.14/0.41 # Backward-subsumed : 1
% 0.14/0.41 # Backward-rewritten : 1
% 0.14/0.41 # Generated clauses : 12
% 0.14/0.41 # ...of the previous two non-redundant : 9
% 0.14/0.41 # ...aggressively subsumed : 0
% 0.14/0.41 # Contextual simplify-reflections : 0
% 0.14/0.41 # Paramodulations : 12
% 0.14/0.41 # Factorizations : 0
% 0.14/0.41 # NegExts : 0
% 0.14/0.41 # Equation resolutions : 0
% 0.14/0.41 # Total rewrite steps : 3
% 0.14/0.41 # Propositional unsat checks : 0
% 0.14/0.41 # Propositional check models : 0
% 0.14/0.41 # Propositional check unsatisfiable : 0
% 0.14/0.41 # Propositional clauses : 0
% 0.14/0.41 # Propositional clauses after purity: 0
% 0.14/0.41 # Propositional unsat core size : 0
% 0.14/0.41 # Propositional preprocessing time : 0.000
% 0.14/0.41 # Propositional encoding time : 0.000
% 0.14/0.41 # Propositional solver time : 0.000
% 0.14/0.41 # Success case prop preproc time : 0.000
% 0.14/0.41 # Success case prop encoding time : 0.000
% 0.14/0.41 # Success case prop solver time : 0.000
% 0.14/0.41 # Current number of processed clauses : 19
% 0.14/0.41 # Positive orientable unit clauses : 10
% 0.14/0.41 # Positive unorientable unit clauses: 0
% 0.14/0.41 # Negative unit clauses : 3
% 0.14/0.41 # Non-unit-clauses : 6
% 0.14/0.41 # Current number of unprocessed clauses: 0
% 0.14/0.41 # ...number of literals in the above : 0
% 0.14/0.41 # Current number of archived formulas : 0
% 0.14/0.41 # Current number of archived clauses : 14
% 0.14/0.41 # Clause-clause subsumption calls (NU) : 8
% 0.14/0.41 # Rec. Clause-clause subsumption calls : 8
% 0.14/0.41 # Non-unit clause-clause subsumptions : 0
% 0.14/0.41 # Unit Clause-clause subsumption calls : 14
% 0.14/0.41 # Rewrite failures with RHS unbound : 0
% 0.14/0.41 # BW rewrite match attempts : 1
% 0.14/0.41 # BW rewrite match successes : 1
% 0.14/0.41 # Condensation attempts : 0
% 0.14/0.41 # Condensation successes : 0
% 0.14/0.41 # Termbank termtop insertions : 1055
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.005 s
% 0.14/0.41 # System time : 0.001 s
% 0.14/0.41 # Total time : 0.006 s
% 0.14/0.41 # Maximum resident set size: 1724 pages
% 0.14/0.41
% 0.14/0.41 # -------------------------------------------------
% 0.14/0.41 # User time : 0.005 s
% 0.14/0.41 # System time : 0.003 s
% 0.14/0.41 # Total time : 0.008 s
% 0.14/0.41 # Maximum resident set size: 1728 pages
% 0.14/0.41 % E---3.1 exiting
%------------------------------------------------------------------------------