%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ031-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.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 : Tue May 5 05:02:42 PM UTC 2026
% Result : Unsatisfiable 1.22s 1.72s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of clauses : 59 ( 18 unt; 5 nHn; 59 RR)
% Number of literals : 150 ( 0 equ; 96 neg)
% Maximal clause size : 8 ( 2 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 : 77 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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 v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n027.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 01:33:35 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.22/1.72 % Version : CSE_E---1.7
% 1.22/1.72 % Problem : theBenchmark.p
% 1.22/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.72 % SZS output start CNFRefutation
% See solution above
% 1.22/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------