%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ031-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:22:07 AM UTC 2026
% Result : Unsatisfiable 12.22s 3.72s
% Output : CNFRefutation 12.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 19
% Syntax : Number of clauses : 72 ( 17 unt; 11 nHn; 72 RR)
% Number of literals : 262 ( 0 equ; 192 neg)
% Maximal clause size : 9 ( 3 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 : 106 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wolf_is_an_animal,axiom,
( ~ wolf(X0)
| animal(X0) ) ).
cnf(fox_is_an_animal,axiom,
( ~ fox(X0)
| animal(X0) ) ).
cnf(bird_is_an_animal,axiom,
( ~ bird(X0)
| animal(X0) ) ).
cnf(snail_is_an_animal,axiom,
( ~ snail(X0)
| animal(X0) ) ).
cnf(there_is_a_wolf,axiom,
wolf('a$uwolf') ).
cnf(there_is_a_fox,axiom,
fox('a$ufox') ).
cnf(there_is_a_bird,axiom,
bird('a$ubird') ).
cnf(there_is_a_snail,axiom,
snail('a$usnail') ).
cnf(there_is_a_grain,axiom,
grain('a$ugrain') ).
cnf(grain_is_a_plant,axiom,
( ~ grain(X0)
| plant(X0) ) ).
cnf(eating_habits,axiom,
( ~ eats(X2,X3)
| ~ 'much$usmaller'(X2,X0)
| ~ plant(X3)
| ~ animal(X2)
| ~ plant(X1)
| ~ animal(X0)
| eats(X0,X2)
| eats(X0,X1) ) ).
cnf(snail_smaller_than_bird,axiom,
( ~ bird(X1)
| ~ snail(X0)
| 'much$usmaller'(X0,X1) ) ).
cnf(bird_smaller_than_fox,axiom,
( ~ fox(X1)
| ~ bird(X0)
| 'much$usmaller'(X0,X1) ) ).
cnf(fox_smaller_than_wolf,axiom,
( ~ wolf(X1)
| ~ fox(X0)
| 'much$usmaller'(X0,X1) ) ).
cnf(wolf_dont_eat_grain,axiom,
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ) ).
cnf(bird_dont_eat_snail,axiom,
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ) ).
cnf(snail_food_is_a_plant,axiom,
( ~ snail(X0)
| plant('snail$ufood$uof'(X0)) ) ).
cnf(snail_eats_snail_food,axiom,
( ~ snail(X0)
| eats(X0,'snail$ufood$uof'(X0)) ) ).
cnf(prove_the_animal_exists,negated_conjecture,
( ~ eats(X1,X2)
| ~ eats(X0,X1)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ) ).
cnf(c0,plain,
( ~ wolf(X0)
| animal(X0) ),
inference(clausification,[status(esa)],[wolf_is_an_animal]) ).
cnf(c1,plain,
( ~ fox(X0)
| animal(X0) ),
inference(clausification,[status(esa)],[fox_is_an_animal]) ).
cnf(c2,plain,
( ~ bird(X0)
| animal(X0) ),
inference(clausification,[status(esa)],[bird_is_an_animal]) ).
cnf(c4,plain,
( ~ snail(X0)
| animal(X0) ),
inference(clausification,[status(esa)],[snail_is_an_animal]) ).
cnf(c5,plain,
wolf('a$uwolf'),
inference(clausification,[status(esa)],[there_is_a_wolf]) ).
cnf(c6,plain,
fox('a$ufox'),
inference(clausification,[status(esa)],[there_is_a_fox]) ).
cnf(c7,plain,
bird('a$ubird'),
inference(clausification,[status(esa)],[there_is_a_bird]) ).
cnf(c9,plain,
snail('a$usnail'),
inference(clausification,[status(esa)],[there_is_a_snail]) ).
cnf(c10,plain,
grain('a$ugrain'),
inference(clausification,[status(esa)],[there_is_a_grain]) ).
cnf(c11,plain,
( ~ grain(X0)
| plant(X0) ),
inference(clausification,[status(esa)],[grain_is_a_plant]) ).
cnf(c12,plain,
( ~ plant(X1)
| ~ plant(X3)
| ~ 'much$usmaller'(X2,X0)
| ~ animal(X0)
| ~ animal(X2)
| ~ eats(X2,X3)
| eats(X0,X2)
| eats(X0,X1) ),
inference(clausification,[status(esa)],[eating_habits]) ).
cnf(c14,plain,
( ~ bird(X1)
| ~ snail(X0)
| 'much$usmaller'(X0,X1) ),
inference(clausification,[status(esa)],[snail_smaller_than_bird]) ).
cnf(c15,plain,
( ~ fox(X1)
| ~ bird(X0)
| 'much$usmaller'(X0,X1) ),
inference(clausification,[status(esa)],[bird_smaller_than_fox]) ).
cnf(c16,plain,
( ~ wolf(X1)
| ~ fox(X0)
| 'much$usmaller'(X0,X1) ),
inference(clausification,[status(esa)],[fox_smaller_than_wolf]) ).
cnf(c18,plain,
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(clausification,[status(esa)],[wolf_dont_eat_grain]) ).
cnf(c20,plain,
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[bird_dont_eat_snail]) ).
cnf(c23,plain,
( ~ snail(X0)
| plant('snail$ufood$uof'(X0)) ),
inference(clausification,[status(esa)],[snail_food_is_a_plant]) ).
cnf(c24,plain,
( ~ snail(X0)
| eats(X0,'snail$ufood$uof'(X0)) ),
inference(clausification,[status(esa)],[snail_eats_snail_food]) ).
cnf(c25,plain,
( ~ eats(X1,X2)
| ~ animal(X1)
| ~ grain(X2)
| ~ eats(X0,X1)
| ~ animal(X0) ),
inference(clausification,[status(esa)],[prove_the_animal_exists]) ).
cnf(d0,plain,
animal('a$uwolf'),
inference(resolution,[status(thm)],[c0,c5]) ).
cnf(d1,plain,
plant('a$ugrain'),
inference(resolution,[status(thm)],[c11,c10]) ).
cnf(d2,plain,
( eats(X1,X0)
| eats(X1,X2)
| ~ 'much$usmaller'(X0,X1)
| ~ plant('snail$ufood$uof'(X0))
| ~ plant(X2)
| ~ animal(X0)
| ~ animal(X1)
| ~ snail(X0) ),
inference(resolution,[status(thm)],[c24,c12]) ).
cnf(d3,plain,
( ~ snail(X1)
| ~ bird(X0)
| eats(X0,X1)
| eats(X0,X2)
| ~ plant('snail$ufood$uof'(X1))
| ~ plant(X2)
| ~ snail(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d2,c14]) ).
cnf(d4,plain,
( ~ snail(X0)
| eats(X1,X0)
| eats(X1,X2)
| ~ plant(X2)
| ~ snail(X0)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d3,c23]) ).
cnf(d5,plain,
( ~ snail(X1)
| ~ bird(X0)
| eats(X0,X2)
| ~ plant(X2)
| ~ snail(X1)
| ~ bird(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d4,c20]) ).
cnf(d6,plain,
( eats(X1,'a$ugrain')
| ~ snail(X0)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( eats(X0,'a$ugrain')
| ~ bird(X0)
| ~ animal('a$usnail')
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
animal('a$usnail'),
inference(resolution,[status(thm)],[c4,c9]) ).
cnf(d9,plain,
( eats(X0,'a$ugrain')
| ~ bird(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ eats(X1,X0)
| ~ grain('a$ugrain')
| ~ animal(X0)
| ~ animal(X1)
| ~ bird(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d9,c25]) ).
cnf(d11,plain,
( ~ eats(X0,X1)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[c10,d10]) ).
cnf(d12,plain,
( eats(X1,X0)
| eats(X1,X2)
| ~ 'much$usmaller'(X0,X1)
| ~ plant('a$ugrain')
| ~ plant(X2)
| ~ animal(X0)
| ~ animal(X1)
| ~ bird(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d9,c12]) ).
cnf(d13,plain,
( eats(X0,X1)
| eats(X0,X2)
| ~ 'much$usmaller'(X1,X0)
| ~ plant(X2)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d1,d12]) ).
cnf(d14,plain,
( ~ bird(X0)
| ~ fox(X1)
| eats(X1,X0)
| eats(X1,X2)
| ~ plant(X2)
| ~ bird(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d13,c15]) ).
cnf(d15,plain,
( ~ bird(X1)
| ~ animal(X0)
| ~ animal(X1)
| eats(X0,X2)
| ~ plant(X2)
| ~ bird(X1)
| ~ fox(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
( eats(X1,'a$ugrain')
| ~ bird(X0)
| ~ fox(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
( eats(X0,'a$ugrain')
| ~ fox(X0)
| ~ animal('a$ubird')
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d16,c7]) ).
cnf(d18,plain,
animal('a$ubird'),
inference(resolution,[status(thm)],[c2,c7]) ).
cnf(d19,plain,
( eats(X0,'a$ugrain')
| ~ fox(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
( ~ eats(X1,X0)
| ~ grain('a$ugrain')
| ~ animal(X0)
| ~ animal(X1)
| ~ fox(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d19,c25]) ).
cnf(d21,plain,
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[c10,d20]) ).
cnf(d22,plain,
( eats(X1,X0)
| eats(X1,X2)
| ~ 'much$usmaller'(X0,X1)
| ~ plant('a$ugrain')
| ~ plant(X2)
| ~ animal(X0)
| ~ animal(X1)
| ~ fox(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d19,c12]) ).
cnf(d23,plain,
( eats(X0,X1)
| eats(X0,X2)
| ~ 'much$usmaller'(X1,X0)
| ~ plant(X2)
| ~ fox(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d1,d22]) ).
cnf(d24,plain,
( ~ fox(X0)
| ~ wolf(X1)
| eats(X1,X0)
| eats(X1,X2)
| ~ plant(X2)
| ~ fox(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d23,c16]) ).
cnf(d25,plain,
( ~ fox(X1)
| ~ animal(X0)
| ~ animal(X1)
| eats(X0,X2)
| ~ plant(X2)
| ~ fox(X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d24,d21]) ).
cnf(d26,plain,
( eats(X0,'a$ugrain')
| ~ fox(X1)
| ~ animal(X0)
| ~ animal(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d25,d1]) ).
cnf(d27,plain,
( eats(X0,'a$ugrain')
| ~ animal(X0)
| ~ animal('a$ufox')
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d26,c6]) ).
cnf(d28,plain,
animal('a$ufox'),
inference(resolution,[status(thm)],[c1,c6]) ).
cnf(d29,plain,
( eats(X0,'a$ugrain')
| ~ animal(X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
( ~ grain('a$ugrain')
| ~ wolf(X0)
| ~ animal(X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d29,c18]) ).
cnf(d31,plain,
( ~ animal(X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[c10,d30]) ).
cnf(d32,plain,
~ wolf('a$uwolf'),
inference(resolution,[status(thm)],[d31,d0]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[c5,d32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 05:01:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.22/3.72 % SZS status Unsatisfiable for theBenchmark.p
% 12.22/3.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------