%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 02:31:55 PM UTC 2026
% Result : Theorem 4.61s 6.11s
% Output : Proof 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 133 ( 39 unt; 0 def)
% Number of atoms : 354 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 399 ( 178 ~; 186 |; 19 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 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 : 151 ( 0 sgn 71 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X] :
( animal(X)
=> ( ! [Y1] :
( animal(Y1)
=> ( ( ? [Z] :
( eats(Y1,Z)
& plant(Z) )
& much_smaller(Y1,X) )
=> eats(X,Y1) ) )
| ! [Y] :
( plant(Y)
=> eats(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(f17_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)],[f17]) ).
fof(f17_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)],[f17_nnf]) ).
cnf(c17,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)],[f17_sk]) ).
fof(f8,axiom,
! [A] :
( bird(A)
=> animal(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_is_animal) ).
fof(f8_nnf,plain,
! [A] :
( animal(A)
| ~ bird(A) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [A] :
( animal(A)
| ~ bird(A) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( animal(X0)
| ~ bird(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
fof(f7,axiom,
? [A] : bird(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_type) ).
fof(f7_nnf,plain,
? [A] : bird(A),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
bird(sk4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f7_nnf]) ).
cnf(c7,plain,
bird(sk4),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p36,plain,
animal(sk4),
inference(resolution,[status(thm)],[c8,c7]) ).
cnf(p50,plain,
( eats(sk4,X1)
| ~ eats(X1,X2)
| ~ plant(X2)
| ~ much_smaller(X1,sk4)
| ~ animal(X1)
| eats(sk4,X0)
| ~ plant(X0) ),
inference(resolution,[status(thm)],[c17,p36]) ).
fof(f16,axiom,
! [A] :
( grain(A)
=> plant(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_is_plant) ).
fof(f16_nnf,plain,
! [A] :
( plant(A)
| ~ grain(A) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [A] :
( plant(A)
| ~ grain(A) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f15,axiom,
? [A] : grain(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_type) ).
fof(f15_nnf,plain,
? [A] : grain(A),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
grain(sk8),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk8])],[f15_nnf]) ).
cnf(c15,plain,
grain(sk8),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p43,plain,
plant(sk8),
inference(resolution,[status(thm)],[c16,c15]) ).
cnf(p141,plain,
( eats(sk4,X0)
| ~ eats(X0,X1)
| ~ plant(X1)
| ~ much_smaller(X0,sk4)
| ~ animal(X0)
| eats(sk4,sk8) ),
inference(resolution,[status(thm)],[p50,p43]) ).
fof(f12,axiom,
! [A] :
( snail(A)
=> animal(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_is_animal) ).
fof(f12_nnf,plain,
! [A] :
( animal(A)
| ~ snail(A) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A] :
( animal(A)
| ~ snail(A) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( animal(X0)
| ~ snail(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
fof(f11,axiom,
? [A] : snail(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_type) ).
fof(f11_nnf,plain,
? [A] : snail(A),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
snail(sk6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk6])],[f11_nnf]) ).
cnf(c11,plain,
snail(sk6),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p40,plain,
animal(sk6),
inference(resolution,[status(thm)],[c12,c11]) ).
cnf(p414,plain,
( eats(sk4,sk6)
| ~ eats(sk6,X0)
| ~ plant(X0)
| ~ much_smaller(sk6,sk4)
| eats(sk4,sk8) ),
inference(resolution,[status(thm)],[p141,p40]) ).
fof(f18,axiom,
! [Y,X] :
( ( snail(X)
& bird(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f18_nnf,plain,
! [Y,X] :
( much_smaller(X,Y)
| ~ snail(X)
| ~ bird(Y) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [Y,X] :
( much_smaller(X,Y)
| ~ snail(X)
| ~ bird(Y) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p56,plain,
( much_smaller(X0,sk4)
| ~ snail(X0) ),
inference(resolution,[status(thm)],[c18,c7]) ).
cnf(p60,plain,
much_smaller(sk6,sk4),
inference(resolution,[status(thm)],[p56,c11]) ).
cnf(p485,plain,
( eats(sk4,sk6)
| ~ eats(sk6,X0)
| ~ plant(X0)
| eats(sk4,sk8) ),
inference(resolution,[status(thm)],[p414,p60]) ).
fof(f27,axiom,
! [X] :
( snail(X)
=> ? [Y] :
( eats(X,Y)
& plant(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
fof(f27_nnf,plain,
! [X] :
( ? [Y] :
( eats(X,Y)
& plant(Y) )
| ~ snail(X) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X] :
( ( eats(X,sk10(X))
& plant(sk10(X)) )
| ~ snail(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk10])],[f27_nnf]) ).
cnf(c28,plain,
( plant(sk10(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p57,plain,
plant(sk10(sk6)),
inference(resolution,[status(thm)],[c28,c11]) ).
cnf(p488,plain,
( eats(sk4,sk6)
| ~ eats(sk6,sk10(sk6))
| eats(sk4,sk8) ),
inference(resolution,[status(thm)],[p485,p57]) ).
cnf(c29,plain,
( eats(X0,sk10(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p67,plain,
eats(sk6,sk10(sk6)),
inference(resolution,[status(thm)],[c29,c11]) ).
cnf(p489,plain,
( eats(sk4,sk6)
| eats(sk4,sk8) ),
inference(resolution,[status(thm)],[p488,p67]) ).
fof(f28,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(f28_neg,negated_conjecture,
~ ? [X,Y,Z] :
( eats(X,Y)
& eats(Y,Z)
& grain(Z)
& animal(Y)
& animal(X) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f28_nnf,plain,
! [X,Y,Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z)
| ~ animal(Y)
| ~ animal(X) ),
inference(nnf_transformation,[status(thm)],[f28_neg]) ).
fof(f28_sk,plain,
! [X,Y,Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z)
| ~ animal(Y)
| ~ animal(X) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c30,plain,
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
fof(f6,axiom,
! [A] :
( fox(A)
=> animal(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_is_animal) ).
fof(f6_nnf,plain,
! [A] :
( animal(A)
| ~ fox(A) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A] :
( animal(A)
| ~ fox(A) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( animal(X0)
| ~ fox(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f5,axiom,
? [A] : fox(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_type) ).
fof(f5_nnf,plain,
? [A] : fox(A),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
fox(sk3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3])],[f5_nnf]) ).
cnf(c5,plain,
fox(sk3),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p34,plain,
animal(sk3),
inference(resolution,[status(thm)],[c6,c5]) ).
cnf(p79,plain,
( ~ eats(sk3,X0)
| ~ eats(X0,X1)
| ~ grain(X1)
| ~ animal(X0) ),
inference(resolution,[status(thm)],[c30,p34]) ).
cnf(p159,plain,
( ~ eats(sk3,sk4)
| ~ eats(sk4,X0)
| ~ grain(X0) ),
inference(resolution,[status(thm)],[p79,p36]) ).
cnf(p166,plain,
( ~ eats(sk3,sk4)
| ~ eats(sk4,sk8) ),
inference(resolution,[status(thm)],[p159,c15]) ).
cnf(p493,plain,
( ~ eats(sk3,sk4)
| eats(sk4,sk6) ),
inference(resolution,[status(thm)],[p489,p166]) ).
fof(f13,axiom,
? [A] : plant(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plant_type) ).
fof(f13_nnf,plain,
? [A] : plant(A),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
plant(sk7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7])],[f13_nnf]) ).
cnf(c13,plain,
plant(sk7),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p140,plain,
( eats(sk4,X0)
| ~ eats(X0,X1)
| ~ plant(X1)
| ~ much_smaller(X0,sk4)
| ~ animal(X0)
| eats(sk4,sk7) ),
inference(resolution,[status(thm)],[p50,c13]) ).
cnf(p406,plain,
( eats(sk4,sk6)
| ~ eats(sk6,X0)
| ~ plant(X0)
| ~ much_smaller(sk6,sk4)
| eats(sk4,sk7) ),
inference(resolution,[status(thm)],[p140,p40]) ).
cnf(p469,plain,
( eats(sk4,sk6)
| ~ eats(sk6,X0)
| ~ plant(X0)
| eats(sk4,sk7) ),
inference(resolution,[status(thm)],[p406,p60]) ).
cnf(p472,plain,
( eats(sk4,sk6)
| ~ eats(sk6,sk10(sk6))
| eats(sk4,sk7) ),
inference(resolution,[status(thm)],[p469,p57]) ).
cnf(p473,plain,
( eats(sk4,sk6)
| eats(sk4,sk7) ),
inference(resolution,[status(thm)],[p472,p67]) ).
cnf(p45,plain,
( eats(X0,X2)
| ~ eats(X2,X1)
| ~ much_smaller(X2,X0)
| ~ animal(X2)
| eats(X0,X1)
| ~ plant(X1)
| ~ animal(X0) ),
inference(factoring,[status(thm)],[c17]) ).
cnf(p100,plain,
( eats(sk3,X1)
| ~ eats(X1,X0)
| ~ much_smaller(X1,sk3)
| ~ animal(X1)
| eats(sk3,X0)
| ~ plant(X0) ),
inference(resolution,[status(thm)],[p45,p34]) ).
cnf(p246,plain,
( eats(sk3,X0)
| ~ eats(X0,sk7)
| ~ much_smaller(X0,sk3)
| ~ animal(X0)
| eats(sk3,sk7) ),
inference(resolution,[status(thm)],[p100,c13]) ).
cnf(p326,plain,
( eats(sk3,sk4)
| ~ eats(sk4,sk7)
| ~ much_smaller(sk4,sk3)
| eats(sk3,sk7) ),
inference(resolution,[status(thm)],[p246,p36]) ).
fof(f20,axiom,
! [X,Y] :
( ( fox(Y)
& bird(X) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f20_nnf,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ fox(Y)
| ~ bird(X) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ fox(Y)
| ~ bird(X) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p62,plain,
( much_smaller(sk4,X0)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c20,c7]) ).
cnf(p63,plain,
much_smaller(sk4,sk3),
inference(resolution,[status(thm)],[p62,c5]) ).
cnf(p334,plain,
( eats(sk3,sk4)
| ~ eats(sk4,sk7)
| eats(sk3,sk7) ),
inference(resolution,[status(thm)],[p326,p63]) ).
cnf(p474,plain,
( eats(sk3,sk4)
| eats(sk3,sk7)
| eats(sk4,sk6) ),
inference(resolution,[status(thm)],[p473,p334]) ).
fof(f25,axiom,
! [X,Y] :
( ( snail(Y)
& bird(X) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f25_nnf,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ snail(Y)
| ~ bird(X) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ snail(Y)
| ~ bird(X) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p74,plain,
( ~ eats(sk4,X0)
| ~ snail(X0) ),
inference(resolution,[status(thm)],[c25,c7]) ).
cnf(p83,plain,
~ eats(sk4,sk6),
inference(resolution,[status(thm)],[p74,c11]) ).
cnf(p476,plain,
( eats(sk3,sk4)
| eats(sk3,sk7) ),
inference(resolution,[status(thm)],[p474,p83]) ).
fof(f4,axiom,
! [A] :
( wolf(A)
=> animal(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_is_animal) ).
fof(f4_nnf,plain,
! [A] :
( animal(A)
| ~ wolf(A) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A] :
( animal(A)
| ~ wolf(A) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
fof(f3,axiom,
? [A] : wolf(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_type) ).
fof(f3_nnf,plain,
? [A] : wolf(A),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
wolf(sk2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f3_nnf]) ).
cnf(c3,plain,
wolf(sk2),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p32,plain,
animal(sk2),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(p48,plain,
( eats(sk2,X1)
| ~ eats(X1,X2)
| ~ plant(X2)
| ~ much_smaller(X1,sk2)
| ~ animal(X1)
| eats(sk2,X0)
| ~ plant(X0) ),
inference(resolution,[status(thm)],[c17,p32]) ).
cnf(p125,plain,
( eats(sk2,X0)
| ~ eats(X0,X1)
| ~ plant(X1)
| ~ much_smaller(X0,sk2)
| ~ animal(X0)
| eats(sk2,sk8) ),
inference(resolution,[status(thm)],[p48,p43]) ).
cnf(p346,plain,
( eats(sk2,sk3)
| ~ eats(sk3,X0)
| ~ plant(X0)
| ~ much_smaller(sk3,sk2)
| eats(sk2,sk8) ),
inference(resolution,[status(thm)],[p125,p34]) ).
fof(f21,axiom,
! [X,Y] :
( ( wolf(Y)
& fox(X) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f21_nnf,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ wolf(Y)
| ~ fox(X) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ wolf(Y)
| ~ fox(X) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p65,plain,
( much_smaller(sk3,X0)
| ~ wolf(X0) ),
inference(resolution,[status(thm)],[c21,c5]) ).
cnf(p66,plain,
much_smaller(sk3,sk2),
inference(resolution,[status(thm)],[p65,c3]) ).
cnf(p447,plain,
( eats(sk2,sk3)
| ~ eats(sk3,X0)
| ~ plant(X0)
| eats(sk2,sk8) ),
inference(resolution,[status(thm)],[p346,p66]) ).
cnf(p448,plain,
( eats(sk2,sk3)
| ~ eats(sk3,sk7)
| eats(sk2,sk8) ),
inference(resolution,[status(thm)],[p447,c13]) ).
cnf(p478,plain,
( eats(sk2,sk3)
| eats(sk2,sk8)
| eats(sk3,sk4) ),
inference(resolution,[status(thm)],[p476,p448]) ).
cnf(p497,plain,
( eats(sk2,sk3)
| eats(sk2,sk8)
| eats(sk4,sk6) ),
inference(resolution,[status(thm)],[p493,p478]) ).
cnf(p499,plain,
( eats(sk2,sk3)
| eats(sk2,sk8) ),
inference(resolution,[status(thm)],[p497,p83]) ).
fof(f23,axiom,
! [X,Y] :
( ( grain(Y)
& wolf(X) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
fof(f23_nnf,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p70,plain,
( ~ eats(sk2,X0)
| ~ grain(X0) ),
inference(resolution,[status(thm)],[c23,c3]) ).
cnf(p71,plain,
~ eats(sk2,sk8),
inference(resolution,[status(thm)],[p70,c15]) ).
cnf(p500,plain,
eats(sk2,sk3),
inference(resolution,[status(thm)],[p499,p71]) ).
fof(f22,axiom,
! [X,Y] :
( ( fox(Y)
& wolf(X) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f22_nnf,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ fox(Y)
| ~ wolf(X) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ fox(Y)
| ~ wolf(X) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p68,plain,
( ~ eats(sk2,X0)
| ~ fox(X0) ),
inference(resolution,[status(thm)],[c22,c3]) ).
cnf(p69,plain,
~ eats(sk2,sk3),
inference(resolution,[status(thm)],[p68,c5]) ).
cnf(p501,plain,
$false,
inference(resolution,[status(thm)],[p500,p69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.39 % Computer : n006.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Thu Sep 24 06:43:25 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.61/6.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.61/6.11 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------