%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 : Theorem 10.84s 2.46s
% Output : CNFRefutation 10.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 19
% Syntax : Number of formulae : 85 ( 19 unt; 0 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 514 ( 237 ~; 246 |; 16 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 147 ( 3 sgn 19 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wolf_type,axiom,
? [X0] : wolf(X0) ).
fof(wolf_is_animal,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ) ).
fof(fox_type,axiom,
? [X0] : fox(X0) ).
fof(fox_is_animal,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ) ).
fof(bird_type,axiom,
? [X0] : bird(X0) ).
fof(bird_is_animal,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ) ).
fof(snail_type,axiom,
? [X0] : snail(X0) ).
fof(snail_is_animal,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ) ).
fof(plant_type,axiom,
? [X0] : plant(X0) ).
fof(grain_type,axiom,
? [X0] : grain(X0) ).
fof(grain_is_plant,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ) ).
fof(pel47_7,axiom,
! [X0] :
( animal(X0)
=> ( ! [X2] :
( animal(X2)
=> ( ( ? [X3] :
( eats(X2,X3)
& plant(X3) )
& 'much$usmaller'(X2,X0) )
=> eats(X0,X2) ) )
| ! [X1] :
( plant(X1)
=> eats(X0,X1) ) ) ) ).
fof(pel47_8,axiom,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> 'much$usmaller'(X1,X0) ) ).
fof(pel47_9,axiom,
! [X0,X1] :
( ( fox(X1)
& bird(X0) )
=> 'much$usmaller'(X0,X1) ) ).
fof(pel47_10,axiom,
! [X0,X1] :
( ( wolf(X1)
& fox(X0) )
=> 'much$usmaller'(X0,X1) ) ).
fof(pel47_11a,axiom,
! [X0,X1] :
( ( grain(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ) ).
fof(pel47_13,axiom,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> ~ eats(X0,X1) ) ).
fof(pel47_14a,axiom,
! [X0] :
( snail(X0)
=> ? [X1] :
( eats(X0,X1)
& plant(X1) ) ) ).
fof(pel47,conjecture,
? [X0,X1,X2] :
( eats(X0,X1)
& eats(X1,X2)
& grain(X2)
& animal(X1)
& animal(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1,X2] :
( eats(X0,X1)
& eats(X1,X2)
& grain(X2)
& animal(X1)
& animal(X0) ),
inference(negate_conjecture,[status(cth)],[pel47]) ).
cnf(c3,plain,
wolf(sK3),
inference(clausification,[status(esa)],[wolf_type]) ).
cnf(c4,plain,
( animal(X0)
| ~ wolf(X0) ),
inference(clausification,[status(esa)],[wolf_is_animal]) ).
cnf(c5,plain,
fox(sK5),
inference(clausification,[status(esa)],[fox_type]) ).
cnf(c6,plain,
( animal(X0)
| ~ fox(X0) ),
inference(clausification,[status(esa)],[fox_is_animal]) ).
cnf(c7,plain,
bird(sK7),
inference(clausification,[status(esa)],[bird_type]) ).
cnf(c8,plain,
( animal(X0)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[bird_is_animal]) ).
cnf(c11,plain,
snail(sK11),
inference(clausification,[status(esa)],[snail_type]) ).
cnf(c12,plain,
( animal(X0)
| ~ snail(X0) ),
inference(clausification,[status(esa)],[snail_is_animal]) ).
cnf(c13,plain,
plant(sK13),
inference(clausification,[status(esa)],[plant_type]) ).
cnf(c15,plain,
grain(sK15),
inference(clausification,[status(esa)],[grain_type]) ).
cnf(c16,plain,
( plant(X0)
| ~ grain(X0) ),
inference(clausification,[status(esa)],[grain_is_plant]) ).
cnf(c17,plain,
( ~ animal(X1)
| ~ animal(X0)
| eats(X1,X2)
| ~ plant(X3)
| ~ eats(X0,X3)
| ~ plant(X2)
| eats(X1,X0)
| ~ 'much$usmaller'(X0,X1) ),
inference(clausification,[status(esa)],[pel47_7]) ).
cnf(c18,plain,
( 'much$usmaller'(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[pel47_8]) ).
cnf(c20,plain,
( 'much$usmaller'(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[pel47_9]) ).
cnf(c21,plain,
( 'much$usmaller'(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(clausification,[status(esa)],[pel47_10]) ).
cnf(c23,plain,
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(clausification,[status(esa)],[pel47_11a]) ).
cnf(c25,plain,
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[pel47_13]) ).
cnf(c28,plain,
( plant(sK40(X0))
| ~ snail(X0) ),
inference(clausification,[status(esa)],[pel47_14a]) ).
cnf(c29,plain,
( eats(X0,sK40(X0))
| ~ snail(X0) ),
inference(clausification,[status(esa)],[pel47_14a]) ).
cnf(c30,plain,
( ~ grain(X2)
| ~ animal(X1)
| ~ eats(X1,X2)
| ~ animal(X0)
| ~ eats(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
plant(sK15),
inference(resolution,[status(thm)],[c16,c15]) ).
cnf(d1,plain,
( eats(X1,X2)
| eats(X1,X0)
| ~ 'much$usmaller'(X0,X1)
| ~ plant(X2)
| ~ plant(sK40(X0))
| ~ animal(X0)
| ~ animal(X1)
| ~ snail(X0) ),
inference(resolution,[status(thm)],[c29,c17]) ).
cnf(d2,plain,
( ~ snail(X1)
| ~ bird(X0)
| eats(X0,X1)
| eats(X0,X2)
| ~ plant(sK40(X1))
| ~ plant(X2)
| ~ snail(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d1,c18]) ).
cnf(d3,plain,
( ~ snail(X0)
| eats(X1,X0)
| eats(X1,X2)
| ~ plant(X2)
| ~ snail(X0)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d2,c28]) ).
cnf(d4,plain,
( ~ snail(X1)
| ~ bird(X0)
| eats(X0,X2)
| ~ plant(X2)
| ~ snail(X1)
| ~ bird(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d3,c25]) ).
cnf(d5,plain,
( eats(X1,sK15)
| ~ snail(X0)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( eats(X0,sK15)
| ~ bird(X0)
| ~ animal(sK11)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d5,c11]) ).
cnf(d7,plain,
animal(sK11),
inference(resolution,[status(thm)],[c12,c11]) ).
cnf(d8,plain,
( eats(X0,sK15)
| ~ bird(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( ~ eats(X1,X0)
| ~ grain(sK15)
| ~ animal(X0)
| ~ animal(X1)
| ~ bird(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d8,c30]) ).
cnf(d10,plain,
( ~ eats(X0,X1)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[c15,d9]) ).
cnf(d11,plain,
( eats(X3,X4)
| eats(X3,X0)
| ~ 'much$usmaller'(X0,X3)
| ~ plant(X4)
| ~ plant(X2)
| ~ animal(X0)
| ~ animal(X3)
| eats(X0,X1)
| ~ plant(X2)
| ~ snail(X1)
| ~ bird(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d3,c17]) ).
cnf(d12,plain,
( ~ bird(X2)
| ~ fox(X0)
| eats(X2,X1)
| eats(X0,X2)
| eats(X0,X3)
| ~ plant(X4)
| ~ plant(X3)
| ~ snail(X1)
| ~ bird(X2)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d11,c20]) ).
cnf(d13,plain,
( eats(X2,X0)
| eats(X2,sK15)
| eats(X0,X1)
| ~ plant(X3)
| ~ snail(X1)
| ~ bird(X0)
| ~ fox(X2)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
( eats(X2,X1)
| eats(X0,sK15)
| eats(X0,X2)
| ~ snail(X1)
| ~ bird(X2)
| ~ fox(X0)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d13,c13]) ).
cnf(d15,plain,
( ~ bird(X0)
| ~ animal(X2)
| ~ animal(X0)
| eats(X2,sK15)
| eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0)
| ~ fox(X2)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
( ~ snail(X1)
| ~ bird(X2)
| eats(X0,sK15)
| ~ snail(X1)
| ~ bird(X2)
| ~ fox(X0)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d15,c25]) ).
cnf(d17,plain,
( eats(X1,sK15)
| ~ bird(X0)
| ~ fox(X1)
| ~ animal(X1)
| ~ animal(sK11)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d16,c11]) ).
cnf(d18,plain,
( eats(X0,sK15)
| ~ bird(X1)
| ~ fox(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d7,d17]) ).
cnf(d19,plain,
( eats(X0,sK15)
| ~ fox(X0)
| ~ animal(X0)
| ~ animal(sK7) ),
inference(resolution,[status(thm)],[d18,c7]) ).
cnf(d20,plain,
animal(sK7),
inference(resolution,[status(thm)],[c8,c7]) ).
cnf(d21,plain,
( eats(X0,sK15)
| ~ fox(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
( ~ eats(X1,X0)
| ~ grain(sK15)
| ~ animal(X0)
| ~ animal(X1)
| ~ fox(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d21,c30]) ).
cnf(d23,plain,
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[c15,d22]) ).
cnf(d24,plain,
( eats(X2,X0)
| eats(X2,sK13)
| eats(X0,X1)
| ~ plant(X3)
| ~ snail(X1)
| ~ bird(X0)
| ~ fox(X2)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d12,c13]) ).
cnf(d25,plain,
( eats(X2,X1)
| eats(X0,sK13)
| eats(X0,X2)
| ~ snail(X1)
| ~ bird(X2)
| ~ fox(X0)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d24,c13]) ).
cnf(d26,plain,
( ~ bird(X0)
| ~ animal(X2)
| ~ animal(X0)
| eats(X2,sK13)
| eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0)
| ~ fox(X2)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d25,d10]) ).
cnf(d27,plain,
( ~ snail(X1)
| ~ bird(X2)
| eats(X0,sK13)
| ~ snail(X1)
| ~ bird(X2)
| ~ fox(X0)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d26,c25]) ).
cnf(d28,plain,
( eats(X1,sK13)
| ~ bird(X0)
| ~ fox(X1)
| ~ animal(X1)
| ~ animal(sK11)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d27,c11]) ).
cnf(d29,plain,
( eats(X0,sK13)
| ~ bird(X1)
| ~ fox(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d7,d28]) ).
cnf(d30,plain,
( eats(X0,sK13)
| ~ fox(X0)
| ~ animal(X0)
| ~ animal(sK7) ),
inference(resolution,[status(thm)],[d29,c7]) ).
cnf(d31,plain,
( eats(X0,sK13)
| ~ fox(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d20,d30]) ).
cnf(d32,plain,
( eats(X1,X2)
| eats(X1,X0)
| ~ 'much$usmaller'(X0,X1)
| ~ plant(X2)
| ~ plant(sK13)
| ~ animal(X0)
| ~ animal(X1)
| ~ fox(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d31,c17]) ).
cnf(d33,plain,
( eats(X0,X1)
| eats(X0,X2)
| ~ 'much$usmaller'(X1,X0)
| ~ plant(X2)
| ~ fox(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[c13,d32]) ).
cnf(d34,plain,
( ~ fox(X0)
| ~ wolf(X1)
| eats(X1,X0)
| eats(X1,X2)
| ~ plant(X2)
| ~ fox(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d33,c21]) ).
cnf(d35,plain,
( ~ fox(X1)
| ~ animal(X0)
| ~ animal(X1)
| eats(X0,X2)
| ~ plant(X2)
| ~ fox(X1)
| ~ wolf(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d34,d23]) ).
cnf(d36,plain,
( eats(X1,sK15)
| ~ fox(X0)
| ~ wolf(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d35,d0]) ).
cnf(d37,plain,
( eats(X0,sK15)
| ~ wolf(X0)
| ~ animal(sK5)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d36,c5]) ).
cnf(d38,plain,
animal(sK5),
inference(resolution,[status(thm)],[c6,c5]) ).
cnf(d39,plain,
( eats(X0,sK15)
| ~ wolf(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d38,d37]) ).
cnf(d40,plain,
( ~ grain(sK15)
| ~ wolf(X0)
| ~ wolf(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d39,c23]) ).
cnf(d41,plain,
( ~ wolf(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[c15,d40]) ).
cnf(d42,plain,
~ animal(sK3),
inference(resolution,[status(thm)],[d41,c3]) ).
cnf(d43,plain,
animal(sK3),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(d44,plain,
$false,
inference(resolution,[status(thm)],[d43,d42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n008.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 05:07:09 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.84/2.46 % SZS status Theorem for theBenchmark.p
% 10.84/2.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------