TSTP Solution File: PUZ031-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ031-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n013.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 : 300s
% DateTime : Thu Aug 31 13:12:14 EDT 2023
% Result : Unsatisfiable 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 38
% Syntax : Number of formulae : 77 ( 18 unt; 18 typ; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 187 ( 96 ~; 91 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 12 >; 2 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 77 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
animal: $i > $o ).
tff(decl_23,type,
wolf: $i > $o ).
tff(decl_24,type,
fox: $i > $o ).
tff(decl_25,type,
bird: $i > $o ).
tff(decl_26,type,
caterpillar: $i > $o ).
tff(decl_27,type,
snail: $i > $o ).
tff(decl_28,type,
a_wolf: $i ).
tff(decl_29,type,
a_fox: $i ).
tff(decl_30,type,
a_bird: $i ).
tff(decl_31,type,
a_caterpillar: $i ).
tff(decl_32,type,
a_snail: $i ).
tff(decl_33,type,
a_grain: $i ).
tff(decl_34,type,
grain: $i > $o ).
tff(decl_35,type,
plant: $i > $o ).
tff(decl_36,type,
eats: ( $i * $i ) > $o ).
tff(decl_37,type,
much_smaller: ( $i * $i ) > $o ).
tff(decl_38,type,
caterpillar_food_of: $i > $i ).
tff(decl_39,type,
snail_food_of: $i > $i ).
cnf(eating_habits,axiom,
( eats(X1,X2)
| eats(X1,X3)
| ~ animal(X1)
| ~ plant(X2)
| ~ animal(X3)
| ~ plant(X4)
| ~ much_smaller(X3,X1)
| ~ eats(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eating_habits) ).
cnf(snail_smaller_than_bird,axiom,
( much_smaller(X1,X2)
| ~ snail(X1)
| ~ bird(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_smaller_than_bird) ).
cnf(bird_is_an_animal,axiom,
( animal(X1)
| ~ bird(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_is_an_animal) ).
cnf(snail_is_an_animal,axiom,
( animal(X1)
| ~ snail(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_is_an_animal) ).
cnf(bird_dont_eat_snail,axiom,
( ~ bird(X1)
| ~ snail(X2)
| ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_dont_eat_snail) ).
cnf(snail_eats_snail_food,axiom,
( eats(X1,snail_food_of(X1))
| ~ snail(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_eats_snail_food) ).
cnf(snail_food_is_a_plant,axiom,
( plant(snail_food_of(X1))
| ~ snail(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_food_is_a_plant) ).
cnf(grain_is_a_plant,axiom,
( plant(X1)
| ~ grain(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_is_a_plant) ).
cnf(there_is_a_grain,axiom,
grain(a_grain),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_grain) ).
cnf(there_is_a_snail,axiom,
snail(a_snail),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_snail) ).
cnf(bird_smaller_than_fox,axiom,
( much_smaller(X1,X2)
| ~ bird(X1)
| ~ fox(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_smaller_than_fox) ).
cnf(fox_is_an_animal,axiom,
( animal(X1)
| ~ fox(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_is_an_animal) ).
cnf(there_is_a_bird,axiom,
bird(a_bird),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_bird) ).
cnf(prove_the_animal_exists,negated_conjecture,
( ~ animal(X1)
| ~ animal(X2)
| ~ grain(X3)
| ~ eats(X1,X2)
| ~ eats(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_animal_exists) ).
cnf(there_is_a_fox,axiom,
fox(a_fox),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_fox) ).
cnf(fox_smaller_than_wolf,axiom,
( much_smaller(X1,X2)
| ~ fox(X1)
| ~ wolf(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_smaller_than_wolf) ).
cnf(wolf_is_an_animal,axiom,
( animal(X1)
| ~ wolf(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_is_an_animal) ).
cnf(wolf_dont_eat_fox,axiom,
( ~ wolf(X1)
| ~ fox(X2)
| ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_dont_eat_fox) ).
cnf(there_is_a_wolf,axiom,
wolf(a_wolf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_wolf) ).
cnf(wolf_dont_eat_grain,axiom,
( ~ wolf(X1)
| ~ grain(X2)
| ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_dont_eat_grain) ).
cnf(c_0_20,axiom,
( eats(X1,X2)
| eats(X1,X3)
| ~ animal(X1)
| ~ plant(X2)
| ~ animal(X3)
| ~ plant(X4)
| ~ much_smaller(X3,X1)
| ~ eats(X3,X4) ),
eating_habits ).
cnf(c_0_21,axiom,
( much_smaller(X1,X2)
| ~ snail(X1)
| ~ bird(X2) ),
snail_smaller_than_bird ).
cnf(c_0_22,axiom,
( animal(X1)
| ~ bird(X1) ),
bird_is_an_animal ).
cnf(c_0_23,axiom,
( animal(X1)
| ~ snail(X1) ),
snail_is_an_animal ).
cnf(c_0_24,axiom,
( ~ bird(X1)
| ~ snail(X2)
| ~ eats(X1,X2) ),
bird_dont_eat_snail ).
cnf(c_0_25,plain,
( eats(X1,X2)
| ~ eats(X3,X4)
| ~ plant(X4)
| ~ plant(X2)
| ~ snail(X3)
| ~ bird(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),c_0_24]) ).
cnf(c_0_26,axiom,
( eats(X1,snail_food_of(X1))
| ~ snail(X1) ),
snail_eats_snail_food ).
cnf(c_0_27,axiom,
( plant(snail_food_of(X1))
| ~ snail(X1) ),
snail_food_is_a_plant ).
cnf(c_0_28,axiom,
( plant(X1)
| ~ grain(X1) ),
grain_is_a_plant ).
cnf(c_0_29,axiom,
grain(a_grain),
there_is_a_grain ).
cnf(c_0_30,plain,
( eats(X1,X2)
| ~ plant(X2)
| ~ snail(X3)
| ~ bird(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_31,plain,
plant(a_grain),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
( eats(X1,a_grain)
| ~ snail(X2)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,axiom,
snail(a_snail),
there_is_a_snail ).
cnf(c_0_34,axiom,
( much_smaller(X1,X2)
| ~ bird(X1)
| ~ fox(X2) ),
bird_smaller_than_fox ).
cnf(c_0_35,axiom,
( animal(X1)
| ~ fox(X1) ),
fox_is_an_animal ).
cnf(c_0_36,plain,
( eats(X1,a_grain)
| ~ bird(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,axiom,
bird(a_bird),
there_is_a_bird ).
cnf(c_0_38,plain,
( eats(X1,X2)
| eats(X1,X3)
| ~ eats(X3,X4)
| ~ plant(X4)
| ~ plant(X2)
| ~ bird(X3)
| ~ fox(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_34]),c_0_35]),c_0_22]) ).
cnf(c_0_39,plain,
eats(a_bird,a_grain),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( ~ animal(X1)
| ~ animal(X2)
| ~ grain(X3)
| ~ eats(X1,X2)
| ~ eats(X2,X3) ),
prove_the_animal_exists ).
cnf(c_0_41,plain,
animal(a_bird),
inference(spm,[status(thm)],[c_0_22,c_0_37]) ).
cnf(c_0_42,axiom,
fox(a_fox),
there_is_a_fox ).
cnf(c_0_43,plain,
( eats(X1,a_bird)
| 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_38,c_0_39]),c_0_31]),c_0_37])]) ).
cnf(c_0_44,negated_conjecture,
( ~ eats(X1,a_bird)
| ~ animal(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_29]),c_0_41])]) ).
cnf(c_0_45,plain,
animal(a_fox),
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_46,axiom,
( much_smaller(X1,X2)
| ~ fox(X1)
| ~ wolf(X2) ),
fox_smaller_than_wolf ).
cnf(c_0_47,axiom,
( animal(X1)
| ~ wolf(X1) ),
wolf_is_an_animal ).
cnf(c_0_48,axiom,
( ~ wolf(X1)
| ~ fox(X2)
| ~ eats(X1,X2) ),
wolf_dont_eat_fox ).
cnf(c_0_49,plain,
( eats(X1,a_grain)
| eats(X1,a_bird)
| ~ fox(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_31]) ).
cnf(c_0_50,negated_conjecture,
~ eats(a_fox,a_bird),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
( eats(X1,X2)
| ~ eats(X3,X4)
| ~ plant(X4)
| ~ plant(X2)
| ~ fox(X3)
| ~ wolf(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_46]),c_0_47]),c_0_35]),c_0_48]) ).
cnf(c_0_52,plain,
eats(a_fox,a_grain),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_42]),c_0_50]) ).
cnf(c_0_53,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_51,c_0_52]),c_0_31]),c_0_42])]) ).
cnf(c_0_54,plain,
( eats(X1,a_grain)
| ~ wolf(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_31]) ).
cnf(c_0_55,axiom,
wolf(a_wolf),
there_is_a_wolf ).
cnf(c_0_56,axiom,
( ~ wolf(X1)
| ~ grain(X2)
| ~ eats(X1,X2) ),
wolf_dont_eat_grain ).
cnf(c_0_57,plain,
eats(a_wolf,a_grain),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_29]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ031-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n013.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 : 300
% 0.13/0.34 % DateTime : Sat Aug 26 22:11:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.011000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.014000 s
%------------------------------------------------------------------------------