%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ031+2 : 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 : n013.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 22.81s 3.18s
% Output : CNFRefutation 22.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 72 ( 13 unt; 0 def)
% Number of atoms : 276 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 375 ( 171 ~; 171 |; 18 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 145 ( 6 sgn 21 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wolf_type,axiom,
? [X0] : wolf(X0) ).
fof(fox_type,axiom,
? [X0] : fox(X0) ).
fof(bird_type,axiom,
? [X0] : bird(X0) ).
fof(snail_type,axiom,
? [X0] : snail(X0) ).
fof(pel47_1_1,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ) ).
fof(pel47_2_1,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ) ).
fof(pel47_3_1,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ) ).
fof(pel47_4_2,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ) ).
fof(grain_type,axiom,
? [X0] : grain(X0) ).
fof(pel47_6_2,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ) ).
fof(pel47_7,axiom,
! [X0] :
( animal(X0)
=> ( ! [X2] :
( ( ? [X3] :
( eats(X2,X3)
& plant(X3) )
& 'much$usmaller'(X2,X0)
& animal(X2) )
=> eats(X0,X2) )
| ! [X1] :
( plant(X1)
=> eats(X0,X1) ) ) ) ).
fof(pel47_8,axiom,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> 'much$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_11,axiom,
! [X0,X1] :
( ( fox(X1)
& wolf(X0) )
=> ~ eats(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(c0,plain,
wolf(sK0),
inference(clausification,[status(esa)],[wolf_type]) ).
cnf(c1,plain,
fox(sK1),
inference(clausification,[status(esa)],[fox_type]) ).
cnf(c2,plain,
bird(sK2),
inference(clausification,[status(esa)],[bird_type]) ).
cnf(c4,plain,
snail(sK4),
inference(clausification,[status(esa)],[snail_type]) ).
cnf(c5,plain,
( animal(X0)
| ~ wolf(X0) ),
inference(clausification,[status(esa)],[pel47_1_1]) ).
cnf(c6,plain,
( animal(X0)
| ~ fox(X0) ),
inference(clausification,[status(esa)],[pel47_2_1]) ).
cnf(c7,plain,
( animal(X0)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[pel47_3_1]) ).
cnf(c9,plain,
( animal(X0)
| ~ snail(X0) ),
inference(clausification,[status(esa)],[pel47_4_2]) ).
cnf(c10,plain,
grain(sK10),
inference(clausification,[status(esa)],[grain_type]) ).
cnf(c11,plain,
( plant(X0)
| ~ grain(X0) ),
inference(clausification,[status(esa)],[pel47_6_2]) ).
cnf(c12,plain,
( ~ eats(X3,X2)
| ~ 'much$usmaller'(X3,X0)
| ~ animal(X3)
| eats(X0,X3)
| ~ plant(X2)
| ~ plant(X1)
| ~ animal(X0)
| eats(X0,X1) ),
inference(clausification,[status(esa)],[pel47_7]) ).
cnf(c13,plain,
( 'much$usmaller'(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[pel47_8]) ).
cnf(c15,plain,
( 'much$usmaller'(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[pel47_9]) ).
cnf(c16,plain,
( 'much$usmaller'(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(clausification,[status(esa)],[pel47_10]) ).
cnf(c17,plain,
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(clausification,[status(esa)],[pel47_11]) ).
cnf(c18,plain,
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(clausification,[status(esa)],[pel47_11a]) ).
cnf(c20,plain,
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[pel47_13]) ).
cnf(c23,plain,
( plant(sK35(X0))
| ~ snail(X0) ),
inference(clausification,[status(esa)],[pel47_14a]) ).
cnf(c24,plain,
( eats(X0,sK35(X0))
| ~ snail(X0) ),
inference(clausification,[status(esa)],[pel47_14a]) ).
cnf(c25,plain,
( ~ eats(X2,X1)
| ~ eats(X0,X2)
| ~ animal(X2)
| ~ grain(X1)
| ~ animal(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
plant(sK10),
inference(resolution,[status(thm)],[c11,c10]) ).
cnf(d1,plain,
( ~ eats(X1,X3)
| eats(X0,X1)
| eats(X0,X2)
| ~ plant(X3)
| ~ plant(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[c16,c12]) ).
cnf(d2,plain,
( eats(X0,X1)
| eats(X0,X3)
| ~ eats(X1,X2)
| ~ plant(X3)
| ~ plant(X2)
| ~ animal(X1)
| ~ fox(X1)
| ~ wolf(X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[c5,d1]) ).
cnf(d3,plain,
( eats(X1,X0)
| eats(X1,X2)
| ~ eats(X0,X3)
| ~ plant(X3)
| ~ plant(X2)
| ~ fox(X0)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
( ~ eats(X1,X2)
| eats(X0,X3)
| ~ plant(X3)
| ~ plant(X2)
| ~ fox(X1)
| ~ wolf(X0)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[c17,d3]) ).
cnf(d5,plain,
( ~ eats(X1,X3)
| eats(X0,X1)
| eats(X0,X2)
| ~ plant(X3)
| ~ plant(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c13,c12]) ).
cnf(d6,plain,
( eats(X0,X1)
| eats(X0,X3)
| ~ eats(X1,X2)
| ~ plant(X3)
| ~ plant(X2)
| ~ animal(X1)
| ~ snail(X1)
| ~ bird(X0)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c7,d5]) ).
cnf(d7,plain,
( eats(X1,X0)
| eats(X1,X2)
| ~ eats(X0,X3)
| ~ plant(X3)
| ~ plant(X2)
| ~ snail(X0)
| ~ bird(X1)
| ~ snail(X0) ),
inference(resolution,[status(thm)],[c9,d6]) ).
cnf(d8,plain,
( ~ eats(X1,X2)
| eats(X0,X3)
| ~ plant(X3)
| ~ plant(X2)
| ~ snail(X1)
| ~ bird(X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c20,d7]) ).
cnf(d9,plain,
( ~ snail(X1)
| eats(X0,X2)
| ~ plant(sK35(X1))
| ~ plant(X2)
| ~ snail(X1)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[d8,c24]) ).
cnf(d10,plain,
( eats(X1,X2)
| ~ plant(X2)
| ~ snail(X0)
| ~ bird(X1)
| ~ snail(X0) ),
inference(resolution,[status(thm)],[c23,d9]) ).
cnf(d11,plain,
( eats(X0,sK10)
| ~ snail(X1)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[d10,d0]) ).
cnf(d12,plain,
( eats(X0,sK10)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[d11,c4]) ).
cnf(d13,plain,
( ~ eats(X1,X0)
| ~ grain(sK10)
| ~ animal(X0)
| ~ animal(X1)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[d12,c25]) ).
cnf(d14,plain,
( ~ eats(X1,X0)
| ~ animal(X0)
| ~ animal(X1)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c10,d13]) ).
cnf(d15,plain,
( ~ eats(X1,X0)
| ~ animal(X1)
| ~ bird(X0)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c7,d14]) ).
cnf(d16,plain,
( ~ eats(X1,X3)
| eats(X0,X1)
| eats(X0,X2)
| ~ plant(X3)
| ~ plant(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ bird(X1)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c15,c12]) ).
cnf(d17,plain,
( eats(X0,X1)
| eats(X0,X3)
| ~ eats(X1,X2)
| ~ plant(X3)
| ~ plant(X2)
| ~ animal(X1)
| ~ bird(X1)
| ~ fox(X0)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c6,d16]) ).
cnf(d18,plain,
( eats(X1,X0)
| eats(X1,X2)
| ~ eats(X0,X3)
| ~ plant(X3)
| ~ plant(X2)
| ~ bird(X0)
| ~ fox(X1)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[c7,d17]) ).
cnf(d19,plain,
( eats(X1,X0)
| eats(X1,X2)
| ~ plant(X2)
| ~ plant(sK10)
| ~ bird(X0)
| ~ fox(X1)
| ~ bird(X0) ),
inference(resolution,[status(thm)],[d12,d18]) ).
cnf(d20,plain,
( eats(X0,X1)
| eats(X0,X2)
| ~ plant(X2)
| ~ bird(X1)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[d0,d19]) ).
cnf(d21,plain,
( ~ animal(X0)
| ~ bird(X1)
| eats(X0,X2)
| ~ plant(X2)
| ~ bird(X1)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[d20,d15]) ).
cnf(d22,plain,
( eats(X0,X2)
| ~ plant(X2)
| ~ bird(X1)
| ~ fox(X0)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c6,d21]) ).
cnf(d23,plain,
( eats(X0,sK10)
| ~ bird(X1)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[d22,d0]) ).
cnf(d24,plain,
( eats(X0,sK10)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[d23,c2]) ).
cnf(d25,plain,
( eats(X1,X2)
| ~ plant(sK10)
| ~ plant(X2)
| ~ fox(X0)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[d24,d4]) ).
cnf(d26,plain,
( eats(X0,X2)
| ~ plant(X2)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d0,d25]) ).
cnf(d27,plain,
( eats(X0,sK10)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d26,d0]) ).
cnf(d28,plain,
( eats(X0,sK10)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d27,c1]) ).
cnf(d29,plain,
( ~ grain(sK10)
| ~ wolf(X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d28,c18]) ).
cnf(d30,plain,
~ wolf(X0),
inference(resolution,[status(thm)],[c10,d29]) ).
cnf(d31,plain,
$false,
inference(resolution,[status(thm)],[d30,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 05:06:06 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.81/3.18 % SZS status Theorem for theBenchmark.p
% 22.81/3.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------