%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:31:54 PM UTC 2026
% Result : Theorem 3.82s 1.09s
% Output : Proof 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 126 ( 35 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 403 ( 177 ~; 187 |; 25 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 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 : 142 ( 0 sgn 65 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X] :
( animal(X)
=> ( ! [Y1] :
( ( ? [Z] :
( eats(Y1,Z)
& plant(Z) )
& much_smaller(Y1,X)
& animal(Y1) )
=> eats(X,Y1) )
| ! [Y] :
( plant(Y)
=> eats(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(f12_nnf,plain,
! [X] :
( ! [Y1] :
( eats(X,Y1)
| ! [Z] :
( ~ eats(Y1,Z)
| ~ plant(Z) )
| ~ much_smaller(Y1,X)
| ~ animal(Y1) )
| ! [Y] :
( eats(X,Y)
| ~ plant(Y) )
| ~ animal(X) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X,Y,Y1,Z] :
( eats(X,Y1)
| ~ eats(Y1,Z)
| ~ plant(Z)
| ~ much_smaller(Y1,X)
| ~ animal(Y1)
| eats(X,Y)
| ~ plant(Y)
| ~ animal(X) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( eats(X0,X2)
| ~ eats(X2,X3)
| ~ plant(X3)
| ~ much_smaller(X2,X0)
| ~ animal(X2)
| eats(X0,X1)
| ~ plant(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p33,plain,
( eats(X0,X2)
| ~ eats(X2,X1)
| ~ much_smaller(X2,X0)
| ~ animal(X2)
| eats(X0,X1)
| ~ plant(X1)
| ~ animal(X0) ),
inference(factoring,[status(thm)],[c12]) ).
fof(f5,axiom,
? [X1] : bird(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_2) ).
fof(f5_nnf,plain,
? [X1] : bird(X1),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
bird(sk2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f5_nnf]) ).
cnf(c5,plain,
bird(sk2),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f4,axiom,
! [X] :
( bird(X)
=> animal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f4_nnf,plain,
! [X] :
( animal(X)
| ~ bird(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( animal(X)
| ~ bird(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( animal(X0)
| ~ bird(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p28,plain,
animal(sk2),
inference(resolution,[status(thm)],[c5,c4]) ).
cnf(p68,plain,
( eats(sk2,X1)
| ~ eats(X1,X0)
| ~ much_smaller(X1,sk2)
| ~ animal(X1)
| eats(sk2,X0)
| ~ plant(X0) ),
inference(resolution,[status(thm)],[p33,p28]) ).
fof(f19,axiom,
! [X] :
( ( snail(X)
| caterpillar(X) )
=> ? [Y] :
( eats(X,Y)
& plant(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).
fof(f19_nnf,plain,
! [X] :
( ? [Y] :
( eats(X,Y)
& plant(Y) )
| ( ~ snail(X)
& ~ caterpillar(X) ) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X] :
( ( eats(X,sk6(X))
& plant(sk6(X)) )
| ( ~ snail(X)
& ~ caterpillar(X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk6])],[f19_nnf]) ).
cnf(c23,plain,
( plant(sk6(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f9,axiom,
? [X1] : snail(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_2) ).
fof(f9_nnf,plain,
? [X1] : snail(X1),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
snail(sk4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f9_nnf]) ).
cnf(c9,plain,
snail(sk4),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p45,plain,
plant(sk6(sk4)),
inference(resolution,[status(thm)],[c23,c9]) ).
cnf(p147,plain,
( eats(sk2,X0)
| ~ eats(X0,sk6(sk4))
| ~ much_smaller(X0,sk2)
| ~ animal(X0)
| eats(sk2,sk6(sk4)) ),
inference(resolution,[status(thm)],[p68,p45]) ).
fof(f8,axiom,
! [X] :
( snail(X)
=> animal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_1) ).
fof(f8_nnf,plain,
! [X] :
( animal(X)
| ~ snail(X) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X] :
( animal(X)
| ~ snail(X) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( animal(X0)
| ~ snail(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p30,plain,
animal(sk4),
inference(resolution,[status(thm)],[c9,c8]) ).
cnf(p279,plain,
( eats(sk2,sk4)
| ~ eats(sk4,sk6(sk4))
| ~ much_smaller(sk4,sk2)
| eats(sk2,sk6(sk4)) ),
inference(resolution,[status(thm)],[p147,p30]) ).
fof(f13,axiom,
! [X,Y] :
( ( ( caterpillar(X)
| snail(X) )
& bird(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f13_nnf,plain,
! [X,Y] :
( much_smaller(X,Y)
| ( ~ caterpillar(X)
& ~ snail(X) )
| ~ bird(Y) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [Y,X] :
( much_smaller(X,Y)
| ( ~ caterpillar(X)
& ~ snail(X) )
| ~ bird(Y) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( much_smaller(X0,X1)
| ~ snail(X0)
| ~ bird(X1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p35,plain,
( much_smaller(X0,sk2)
| ~ snail(X0) ),
inference(resolution,[status(thm)],[c13,c5]) ).
cnf(p76,plain,
much_smaller(sk4,sk2),
inference(resolution,[status(thm)],[p35,c9]) ).
cnf(p311,plain,
( eats(sk2,sk4)
| ~ eats(sk4,sk6(sk4))
| eats(sk2,sk6(sk4)) ),
inference(resolution,[status(thm)],[p279,p76]) ).
cnf(c24,plain,
( eats(X0,sk6(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p46,plain,
eats(sk4,sk6(sk4)),
inference(resolution,[status(thm)],[c24,c9]) ).
cnf(p330,plain,
( eats(sk2,sk4)
| eats(sk2,sk6(sk4)) ),
inference(resolution,[status(thm)],[p311,p46]) ).
fof(f3,axiom,
? [X1] : fox(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_2) ).
fof(f3_nnf,plain,
? [X1] : fox(X1),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
fox(sk1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f3_nnf]) ).
cnf(c3,plain,
fox(sk1),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f2,axiom,
! [X] :
( fox(X)
=> animal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f2_nnf,plain,
! [X] :
( animal(X)
| ~ fox(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( animal(X)
| ~ fox(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( animal(X0)
| ~ fox(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p27,plain,
animal(sk1),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(p67,plain,
( eats(sk1,X1)
| ~ eats(X1,X0)
| ~ much_smaller(X1,sk1)
| ~ animal(X1)
| eats(sk1,X0)
| ~ plant(X0) ),
inference(resolution,[status(thm)],[p33,p27]) ).
cnf(p144,plain,
( eats(sk1,X0)
| ~ eats(X0,sk6(sk4))
| ~ much_smaller(X0,sk1)
| ~ animal(X0)
| eats(sk1,sk6(sk4)) ),
inference(resolution,[status(thm)],[p67,p45]) ).
cnf(p269,plain,
( eats(sk1,sk2)
| ~ eats(sk2,sk6(sk4))
| ~ much_smaller(sk2,sk1)
| eats(sk1,sk6(sk4)) ),
inference(resolution,[status(thm)],[p144,p28]) ).
fof(f14,axiom,
! [X,Y] :
( ( fox(Y)
& bird(X) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f14_nnf,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ fox(Y)
| ~ bird(X) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ fox(Y)
| ~ bird(X) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c15,plain,
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p37,plain,
( much_smaller(sk2,X0)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c15,c5]) ).
cnf(p78,plain,
much_smaller(sk2,sk1),
inference(resolution,[status(thm)],[p37,c3]) ).
cnf(p308,plain,
( eats(sk1,sk2)
| ~ eats(sk2,sk6(sk4))
| eats(sk1,sk6(sk4)) ),
inference(resolution,[status(thm)],[p269,p78]) ).
cnf(p333,plain,
( eats(sk1,sk2)
| eats(sk1,sk6(sk4))
| eats(sk2,sk4) ),
inference(resolution,[status(thm)],[p330,p308]) ).
fof(f1,axiom,
? [X1] : wolf(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_2) ).
fof(f1_nnf,plain,
? [X1] : wolf(X1),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
wolf(sk0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f1_nnf]) ).
cnf(c1,plain,
wolf(sk0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f0,axiom,
! [X] :
( wolf(X)
=> animal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f0_nnf,plain,
! [X] :
( animal(X)
| ~ wolf(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( animal(X)
| ~ wolf(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p26,plain,
animal(sk0),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p49,plain,
( eats(sk0,X1)
| ~ eats(X1,X2)
| ~ plant(X2)
| ~ much_smaller(X1,sk0)
| ~ animal(X1)
| eats(sk0,X0)
| ~ plant(X0) ),
inference(resolution,[status(thm)],[p26,c12]) ).
fof(f11,axiom,
! [X1] :
( grain(X1)
=> plant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_2) ).
fof(f11_nnf,plain,
! [X1] :
( plant(X1)
| ~ grain(X1) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [X1] :
( plant(X1)
| ~ grain(X1) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
fof(f10,axiom,
? [X] : grain(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_1) ).
fof(f10_nnf,plain,
? [X] : grain(X),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
grain(sk5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f10_nnf]) ).
cnf(c10,plain,
grain(sk5),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p31,plain,
plant(sk5),
inference(resolution,[status(thm)],[c11,c10]) ).
cnf(p89,plain,
( eats(sk0,X0)
| ~ eats(X0,X1)
| ~ plant(X1)
| ~ much_smaller(X0,sk0)
| ~ animal(X0)
| eats(sk0,sk5) ),
inference(resolution,[status(thm)],[p49,p31]) ).
cnf(p173,plain,
( eats(sk0,sk1)
| ~ eats(sk1,X0)
| ~ plant(X0)
| ~ much_smaller(sk1,sk0)
| eats(sk0,sk5) ),
inference(resolution,[status(thm)],[p89,p27]) ).
fof(f15,axiom,
! [X,Y] :
( ( wolf(Y)
& fox(X) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f15_nnf,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ wolf(Y)
| ~ fox(X) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ wolf(Y)
| ~ fox(X) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c16,plain,
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p38,plain,
( much_smaller(sk1,X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[c16,c3]) ).
cnf(p79,plain,
much_smaller(sk1,sk0),
inference(resolution,[status(thm)],[p38,c1]) ).
cnf(p294,plain,
( eats(sk0,sk1)
| ~ eats(sk1,X0)
| ~ plant(X0)
| eats(sk0,sk5) ),
inference(resolution,[status(thm)],[p173,p79]) ).
cnf(p313,plain,
( eats(sk0,sk1)
| ~ eats(sk1,sk6(sk4))
| eats(sk0,sk5) ),
inference(resolution,[status(thm)],[p294,p45]) ).
cnf(p342,plain,
( eats(sk0,sk1)
| eats(sk0,sk5)
| eats(sk1,sk2)
| eats(sk2,sk4) ),
inference(resolution,[status(thm)],[p333,p313]) ).
fof(f18,axiom,
! [X,Y] :
( ( snail(Y)
& bird(X) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f18_nnf,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ snail(Y)
| ~ bird(X) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ snail(Y)
| ~ bird(X) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c20,plain,
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p42,plain,
( ~ eats(sk2,X0)
| ~ snail(X0) ),
inference(resolution,[status(thm)],[c20,c5]) ).
cnf(p83,plain,
~ eats(sk2,sk4),
inference(resolution,[status(thm)],[p42,c9]) ).
cnf(p345,plain,
( eats(sk0,sk1)
| eats(sk0,sk5)
| eats(sk1,sk2) ),
inference(resolution,[status(thm)],[p342,p83]) ).
cnf(p53,plain,
( eats(sk2,X1)
| ~ eats(X1,X2)
| ~ plant(X2)
| ~ much_smaller(X1,sk2)
| ~ animal(X1)
| eats(sk2,X0)
| ~ plant(X0) ),
inference(resolution,[status(thm)],[p28,c12]) ).
cnf(p101,plain,
( eats(sk2,X0)
| ~ eats(X0,X1)
| ~ plant(X1)
| ~ much_smaller(X0,sk2)
| ~ animal(X0)
| eats(sk2,sk5) ),
inference(resolution,[status(thm)],[p53,p31]) ).
cnf(p205,plain,
( eats(sk2,sk4)
| ~ eats(sk4,X0)
| ~ plant(X0)
| ~ much_smaller(sk4,sk2)
| eats(sk2,sk5) ),
inference(resolution,[status(thm)],[p101,p30]) ).
cnf(p300,plain,
( eats(sk2,sk4)
| ~ eats(sk4,X0)
| ~ plant(X0)
| eats(sk2,sk5) ),
inference(resolution,[status(thm)],[p205,p76]) ).
cnf(p325,plain,
( eats(sk2,sk4)
| ~ eats(sk4,sk6(sk4))
| eats(sk2,sk5) ),
inference(resolution,[status(thm)],[p300,p45]) ).
cnf(p331,plain,
( eats(sk2,sk4)
| eats(sk2,sk5) ),
inference(resolution,[status(thm)],[p325,p46]) ).
fof(f20,conjecture,
? [X,Y] :
( ? [Z] :
( eats(X,Y)
& eats(Y,Z)
& grain(Z) )
& animal(Y)
& animal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(f20_neg,negated_conjecture,
~ ? [X,Y] :
( ? [Z] :
( eats(X,Y)
& eats(Y,Z)
& grain(Z) )
& animal(Y)
& animal(X) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f20_nnf,plain,
! [X,Y] :
( ! [Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) )
| ~ animal(Y)
| ~ animal(X) ),
inference(nnf_transformation,[status(thm)],[f20_neg]) ).
fof(f20_sk,plain,
! [X,Y,Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z)
| ~ animal(Y)
| ~ animal(X) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c25,plain,
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p52,plain,
( ~ eats(sk1,X0)
| ~ eats(X0,X1)
| ~ grain(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[p27,c25]) ).
cnf(p98,plain,
( ~ eats(sk1,sk2)
| ~ eats(sk2,X0)
| ~ grain(X0) ),
inference(resolution,[status(thm)],[p52,p28]) ).
cnf(p200,plain,
( ~ eats(sk1,sk2)
| ~ eats(sk2,sk5) ),
inference(resolution,[status(thm)],[p98,c10]) ).
cnf(p338,plain,
( ~ eats(sk1,sk2)
| eats(sk2,sk4) ),
inference(resolution,[status(thm)],[p331,p200]) ).
cnf(p352,plain,
( eats(sk2,sk4)
| eats(sk0,sk1)
| eats(sk0,sk5) ),
inference(resolution,[status(thm)],[p345,p338]) ).
cnf(p353,plain,
( eats(sk0,sk1)
| eats(sk0,sk5) ),
inference(resolution,[status(thm)],[p352,p83]) ).
fof(f16,axiom,
! [X,Y] :
( ( ( grain(Y)
| fox(Y) )
& wolf(X) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f16_nnf,plain,
! [X,Y] :
( ~ eats(X,Y)
| ( ~ grain(Y)
& ~ fox(Y) )
| ~ wolf(X) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X,Y] :
( ~ eats(X,Y)
| ( ~ grain(Y)
& ~ fox(Y) )
| ~ wolf(X) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c18,plain,
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p40,plain,
( ~ eats(sk0,X0)
| ~ grain(X0) ),
inference(resolution,[status(thm)],[c18,c1]) ).
cnf(p81,plain,
~ eats(sk0,sk5),
inference(resolution,[status(thm)],[p40,c10]) ).
cnf(p354,plain,
eats(sk0,sk1),
inference(resolution,[status(thm)],[p353,p81]) ).
cnf(c17,plain,
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p39,plain,
( ~ eats(sk0,X0)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c17,c1]) ).
cnf(p80,plain,
~ eats(sk0,sk1),
inference(resolution,[status(thm)],[p39,c3]) ).
cnf(p355,plain,
$false,
inference(resolution,[status(thm)],[p354,p80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 06:38:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.82/1.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.82/1.09 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------