%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 : Theorem 17.98s 4.41s
% Output : CNFRefutation 17.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 73 ( 17 unt; 0 def)
% Number of atoms : 327 ( 0 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 461 ( 207 ~; 223 |; 17 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 137 ( 0 sgn 19 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel47_1_1,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ) ).
fof(pel47_1_2,axiom,
? [X0] : wolf(X0) ).
fof(pel47_2_1,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ) ).
fof(pel47_2_2,axiom,
? [X0] : fox(X0) ).
fof(pel47_3_1,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ) ).
fof(pel47_3_2,axiom,
? [X0] : bird(X0) ).
fof(pel47_5_1,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ) ).
fof(pel47_5_2,axiom,
? [X0] : snail(X0) ).
fof(pel47_6_1,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$usmaller'(X2,X0)
& animal(X2) )
=> eats(X0,X2) )
| ! [X1] :
( plant(X1)
=> eats(X0,X1) ) ) ) ).
fof(pel47_8,axiom,
! [X0,X1] :
( ( ( caterpillar(X0)
| snail(X0) )
& bird(X1) )
=> 'much$usmaller'(X0,X1) ) ).
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] :
( ( ( grain(X1)
| fox(X1) )
& wolf(X0) )
=> ~ eats(X0,X1) ) ).
fof(pel47_13,axiom,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> ~ eats(X0,X1) ) ).
fof(pel47_14,axiom,
! [X0] :
( ( snail(X0)
| caterpillar(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,
( animal(X0)
| ~ wolf(X0) ),
inference(clausification,[status(esa)],[pel47_1_1]) ).
cnf(c1,plain,
wolf(sK1),
inference(clausification,[status(esa)],[pel47_1_2]) ).
cnf(c2,plain,
( animal(X0)
| ~ fox(X0) ),
inference(clausification,[status(esa)],[pel47_2_1]) ).
cnf(c3,plain,
fox(sK3),
inference(clausification,[status(esa)],[pel47_2_2]) ).
cnf(c4,plain,
( animal(X0)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[pel47_3_1]) ).
cnf(c5,plain,
bird(sK5),
inference(clausification,[status(esa)],[pel47_3_2]) ).
cnf(c8,plain,
( animal(X0)
| ~ snail(X0) ),
inference(clausification,[status(esa)],[pel47_5_1]) ).
cnf(c9,plain,
snail(sK9),
inference(clausification,[status(esa)],[pel47_5_2]) ).
cnf(c10,plain,
grain(sK10),
inference(clausification,[status(esa)],[pel47_6_1]) ).
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_11]) ).
cnf(c20,plain,
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(clausification,[status(esa)],[pel47_13]) ).
cnf(c23,plain,
( plant(sK29(X0))
| ~ snail(X0) ),
inference(clausification,[status(esa)],[pel47_14]) ).
cnf(c24,plain,
( eats(X0,sK29(X0))
| ~ snail(X0) ),
inference(clausification,[status(esa)],[pel47_14]) ).
cnf(c25,plain,
( ~ grain(X2)
| ~ eats(X1,X0)
| ~ eats(X0,X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
animal(sK1),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
plant(sK10),
inference(resolution,[status(thm)],[c11,c10]) ).
cnf(d2,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(d3,plain,
( ~ snail(X0)
| eats(X1,X0)
| eats(X1,X2)
| ~ plant(X2)
| ~ plant(sK29(X0))
| ~ snail(X0)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d2,c24]) ).
cnf(d4,plain,
( ~ snail(X1)
| eats(X0,X1)
| eats(X0,X2)
| ~ plant(X2)
| ~ snail(X1)
| ~ bird(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d3,c23]) ).
cnf(d5,plain,
( ~ snail(X0)
| ~ bird(X1)
| eats(X1,X2)
| ~ plant(X2)
| ~ snail(X0)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d4,c20]) ).
cnf(d6,plain,
( eats(X0,sK10)
| ~ snail(X1)
| ~ bird(X0)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( eats(X0,sK10)
| ~ bird(X0)
| ~ animal(X0)
| ~ animal(sK9) ),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
animal(sK9),
inference(resolution,[status(thm)],[c9,c8]) ).
cnf(d9,plain,
( eats(X0,sK10)
| ~ bird(X0)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( ~ eats(X1,X0)
| ~ grain(sK10)
| ~ 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,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(d13,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(d14,plain,
( eats(X3,X1)
| eats(X3,X4)
| ~ plant(X4)
| ~ plant(X2)
| ~ bird(X1)
| ~ fox(X3)
| ~ animal(X3)
| ~ animal(X1)
| eats(X1,X0)
| ~ plant(X2)
| ~ snail(X0)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d4,d13]) ).
cnf(d15,plain,
( eats(X1,X2)
| eats(X0,X1)
| eats(X0,X3)
| ~ plant(X3)
| ~ snail(X2)
| ~ bird(X1)
| ~ fox(X0)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d14,d1]) ).
cnf(d16,plain,
( eats(X4,X2)
| eats(X4,X5)
| ~ plant(X5)
| ~ plant(X3)
| ~ fox(X2)
| ~ animal(X4)
| ~ animal(X2)
| ~ wolf(X4)
| eats(X2,X1)
| eats(X1,X0)
| ~ plant(X3)
| ~ snail(X0)
| ~ bird(X1)
| ~ fox(X2)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[d15,d12]) ).
cnf(d17,plain,
( eats(X2,X3)
| eats(X1,X2)
| eats(X0,X1)
| eats(X0,X4)
| ~ plant(X4)
| ~ snail(X3)
| ~ bird(X2)
| ~ fox(X1)
| ~ animal(X3)
| ~ animal(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d16,d1]) ).
cnf(d18,plain,
( ~ bird(X2)
| ~ animal(X3)
| ~ animal(X2)
| eats(X0,X3)
| eats(X0,X4)
| eats(X2,X1)
| ~ plant(X4)
| ~ snail(X1)
| ~ bird(X2)
| ~ fox(X3)
| ~ animal(X0)
| ~ animal(X3)
| ~ animal(X2)
| ~ animal(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d17,d11]) ).
cnf(d19,plain,
( ~ snail(X3)
| ~ bird(X2)
| eats(X0,X1)
| eats(X0,X4)
| ~ plant(X4)
| ~ snail(X3)
| ~ bird(X2)
| ~ fox(X1)
| ~ animal(X0)
| ~ animal(X3)
| ~ animal(X2)
| ~ animal(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d18,c20]) ).
cnf(d20,plain,
( eats(X0,X3)
| eats(X0,sK10)
| ~ snail(X1)
| ~ bird(X2)
| ~ fox(X3)
| ~ animal(X0)
| ~ animal(X3)
| ~ animal(X2)
| ~ animal(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d19,d1]) ).
cnf(d21,plain,
( eats(X0,sK10)
| eats(X0,X1)
| ~ bird(X2)
| ~ fox(X1)
| ~ animal(X0)
| ~ animal(sK9)
| ~ animal(X2)
| ~ animal(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d20,c9]) ).
cnf(d22,plain,
( eats(X0,sK10)
| eats(X0,X2)
| ~ bird(X1)
| ~ fox(X2)
| ~ animal(X0)
| ~ animal(X2)
| ~ animal(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d8,d21]) ).
cnf(d23,plain,
( eats(X0,sK10)
| eats(X0,X1)
| ~ fox(X1)
| ~ animal(X0)
| ~ animal(sK5)
| ~ animal(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d22,c5]) ).
cnf(d24,plain,
animal(sK5),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(d25,plain,
( eats(X0,sK10)
| eats(X0,X1)
| ~ fox(X1)
| ~ animal(X0)
| ~ animal(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d24,d23]) ).
cnf(d26,plain,
( ~ fox(X1)
| ~ wolf(X0)
| eats(X0,sK10)
| ~ fox(X1)
| ~ animal(X0)
| ~ animal(X1)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d25,c17]) ).
cnf(d27,plain,
( eats(X0,sK10)
| ~ animal(X0)
| ~ animal(sK3)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d26,c3]) ).
cnf(d28,plain,
animal(sK3),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(d29,plain,
( eats(X0,sK10)
| ~ animal(X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
( ~ grain(sK10)
| ~ 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(sK1),
inference(resolution,[status(thm)],[d31,d0]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[c1,d32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 05:01:18 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.98/4.41 % SZS status Theorem for theBenchmark.p
% 17.98/4.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------