%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PUZ031+3 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 01:24:29 PM UTC 2025
% Result : Theorem 1.73s 0.56s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 19
% Syntax : Number of formulae : 111 ( 48 unt; 0 def)
% Number of atoms : 243 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 238 ( 106 ~; 99 |; 17 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 60 ( 0 sgn 21 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel47,plain,
? [X,Y,Z] :
( animal(X)
& animal(Y)
& grain(Z)
& eats(Y,Z)
& eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
fof(pel47_negated,plain,
~ ? [X,Y,Z] :
( animal(X)
& animal(Y)
& grain(Z)
& eats(Y,Z)
& eats(X,Y) ),
inference(negate_conjecture,[status(cth)],[pel47]) ).
cnf(30,plain,
( ~ animal(X0)
| ~ animal(X1)
| ~ grain(X2)
| ~ eats(X0,X1)
| ~ eats(X1,X2) ),
inference(cnf,[status(esa)],[pel47_negated]) ).
cnf(l0,plain,
( ~ animal(sK4)
| ~ animal(sK5)
| ~ grain(sK9)
| ~ eats(sK4,sK5)
| ~ eats(sK5,sK9) ),
inference(instantiation,[status(thm)],[30]) ).
fof(grain_type,plain,
? [A] : grain(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).
cnf(15,plain,
grain(sK9),
inference(cnf,[status(esa)],[grain_type]) ).
cnf(l28,plain,
grain(sK9),
inference(instantiation,[status(thm)],[15]) ).
fof(fox_is_animal,plain,
! [A] :
( fox(A)
=> animal(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_animal) ).
cnf(6,plain,
( ~ fox(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[fox_is_animal]) ).
cnf(l2,plain,
( ~ fox(sK4)
| animal(sK4) ),
inference(instantiation,[status(thm)],[6]) ).
fof(fox_type,plain,
? [A] : fox(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).
cnf(5,plain,
fox(sK4),
inference(cnf,[status(esa)],[fox_type]) ).
cnf(l7,plain,
fox(sK4),
inference(instantiation,[status(thm)],[5]) ).
fof(pel47_7,plain,
! [X] :
( animal(X)
=> ( ! [Y] :
( plant(Y)
=> eats(X,Y) )
| ! [Y1] :
( animal(Y1)
=> ( ( much_smaller(Y1,X)
& ? [Z] :
( plant(Z)
& eats(Y1,Z) ) )
=> eats(X,Y1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).
cnf(17,plain,
( ~ animal(X0)
| ~ animal(X1)
| ~ plant(X2)
| ~ plant(X3)
| ~ eats(X1,X3)
| ~ much_smaller(X1,X0)
| eats(X0,X2)
| eats(X0,X1) ),
inference(cnf,[status(esa)],[pel47_7]) ).
cnf(l3,plain,
( ~ animal(sK5)
| ~ animal(sK7)
| ~ plant(sK9)
| ~ plant(sK11(sK7))
| ~ eats(sK7,sK11(sK7))
| ~ much_smaller(sK7,sK5)
| eats(sK5,sK9)
| eats(sK5,sK7) ),
inference(instantiation,[status(thm)],[17]) ).
fof(pel47_13,plain,
! [X,Y] :
( ( bird(X)
& snail(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
cnf(25,plain,
( ~ bird(X0)
| ~ snail(X1)
| ~ eats(X0,X1) ),
inference(cnf,[status(esa)],[pel47_13]) ).
cnf(l53,plain,
( ~ bird(sK5)
| ~ snail(sK7)
| ~ eats(sK5,sK7) ),
inference(instantiation,[status(thm)],[25]) ).
fof(snail_type,plain,
? [A] : snail(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).
cnf(11,plain,
snail(sK7),
inference(cnf,[status(esa)],[snail_type]) ).
cnf(l56,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
fof(pel47_14a,plain,
! [X] :
( snail(X)
=> ? [Y] :
( plant(Y)
& eats(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).
cnf(28,plain,
( ~ snail(X0)
| plant(sK11(X0)) ),
inference(cnf,[status(esa)],[pel47_14a]) ).
cnf(l18,plain,
( ~ snail(sK7)
| plant(sK11(sK7)) ),
inference(instantiation,[status(thm)],[28]) ).
fof(bird_is_animal,plain,
! [A] :
( bird(A)
=> animal(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_animal) ).
cnf(8,plain,
( ~ bird(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[bird_is_animal]) ).
cnf(l5,plain,
( ~ bird(sK5)
| animal(sK5) ),
inference(instantiation,[status(thm)],[8]) ).
fof(grain_is_plant,plain,
! [A] :
( grain(A)
=> plant(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_plant) ).
cnf(16,plain,
( ~ grain(X0)
| plant(X0) ),
inference(cnf,[status(esa)],[grain_is_plant]) ).
cnf(l8,plain,
( ~ grain(sK9)
| plant(sK9) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l19,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
fof(bird_type,plain,
? [A] : bird(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).
cnf(7,plain,
bird(sK5),
inference(cnf,[status(esa)],[bird_type]) ).
cnf(l54,plain,
bird(sK5),
inference(instantiation,[status(thm)],[7]) ).
fof(pel47_8,plain,
! [Y,X] :
( ( bird(Y)
& snail(X) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
cnf(18,plain,
( ~ bird(X0)
| ~ snail(X1)
| much_smaller(X1,X0) ),
inference(cnf,[status(esa)],[pel47_8]) ).
cnf(l11,plain,
( ~ bird(sK5)
| ~ snail(sK7)
| much_smaller(sK7,sK5) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l33,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(l26,plain,
grain(sK9),
inference(instantiation,[status(thm)],[15]) ).
cnf(29,plain,
( ~ snail(X0)
| eats(X0,sK11(X0)) ),
inference(cnf,[status(esa)],[pel47_14a]) ).
cnf(l12,plain,
( ~ snail(sK7)
| eats(sK7,sK11(sK7)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l27,plain,
bird(sK5),
inference(instantiation,[status(thm)],[7]) ).
cnf(l4,plain,
( ~ animal(sK4)
| ~ animal(sK5)
| ~ plant(sK9)
| ~ plant(sK11(sK7))
| ~ eats(sK5,sK11(sK7))
| ~ much_smaller(sK5,sK4)
| eats(sK4,sK9)
| eats(sK4,sK5) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l10,plain,
( ~ grain(sK9)
| plant(sK9) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l34,plain,
bird(sK5),
inference(instantiation,[status(thm)],[7]) ).
cnf(l1,plain,
( ~ bird(sK5)
| animal(sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l20,plain,
( ~ bird(sK5)
| animal(sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l14,plain,
( ~ snail(sK7)
| plant(sK11(sK7)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l25,plain,
( ~ fox(sK4)
| animal(sK4) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l52,plain,
bird(sK5),
inference(instantiation,[status(thm)],[7]) ).
cnf(l32,plain,
( ~ animal(sK3)
| ~ animal(sK4)
| ~ plant(sK9)
| ~ plant(sK9)
| ~ eats(sK4,sK9)
| ~ much_smaller(sK4,sK3)
| eats(sK3,sK9)
| eats(sK3,sK4) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l69,plain,
fox(sK4),
inference(instantiation,[status(thm)],[5]) ).
cnf(l13,plain,
grain(sK9),
inference(instantiation,[status(thm)],[15]) ).
cnf(l36,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(l98,plain,
( ~ fox(sK4)
| animal(sK4) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l99,plain,
( ~ grain(sK9)
| plant(sK9) ),
inference(instantiation,[status(thm)],[16]) ).
fof(pel47_11,plain,
! [X,Y] :
( ( wolf(X)
& fox(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
cnf(22,plain,
( ~ wolf(X0)
| ~ fox(X1)
| ~ eats(X0,X1) ),
inference(cnf,[status(esa)],[pel47_11]) ).
cnf(l168,plain,
( ~ wolf(sK3)
| ~ fox(sK4)
| ~ eats(sK3,sK4) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l172,plain,
grain(sK9),
inference(instantiation,[status(thm)],[15]) ).
fof(pel47_9,plain,
! [X,Y] :
( ( bird(X)
& fox(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
cnf(20,plain,
( ~ fox(X0)
| ~ bird(X1)
| much_smaller(X1,X0) ),
inference(cnf,[status(esa)],[pel47_9]) ).
cnf(l21,plain,
( ~ fox(sK4)
| ~ bird(sK5)
| much_smaller(sK5,sK4) ),
inference(instantiation,[status(thm)],[20]) ).
fof(pel47_10,plain,
! [X,Y] :
( ( fox(X)
& wolf(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
cnf(21,plain,
( ~ wolf(X0)
| ~ fox(X1)
| much_smaller(X1,X0) ),
inference(cnf,[status(esa)],[pel47_10]) ).
cnf(l142,plain,
( ~ wolf(sK3)
| ~ fox(sK4)
| much_smaller(sK4,sK3) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l22,plain,
bird(sK5),
inference(instantiation,[status(thm)],[7]) ).
cnf(l24,plain,
bird(sK5),
inference(instantiation,[status(thm)],[7]) ).
fof(wolf_type,plain,
? [A] : wolf(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).
cnf(3,plain,
wolf(sK3),
inference(cnf,[status(esa)],[wolf_type]) ).
cnf(l169,plain,
wolf(sK3),
inference(instantiation,[status(thm)],[3]) ).
cnf(l147,plain,
fox(sK4),
inference(instantiation,[status(thm)],[5]) ).
cnf(l144,plain,
wolf(sK3),
inference(instantiation,[status(thm)],[3]) ).
cnf(l9,plain,
( ~ animal(sK5)
| ~ animal(sK7)
| ~ plant(sK11(sK7))
| ~ plant(sK11(sK7))
| ~ eats(sK7,sK11(sK7))
| ~ much_smaller(sK7,sK5)
| eats(sK5,sK11(sK7))
| eats(sK5,sK7) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l43,plain,
( ~ bird(sK5)
| animal(sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l80,plain,
bird(sK5),
inference(instantiation,[status(thm)],[7]) ).
fof(wolf_is_animal,plain,
! [A] :
( wolf(A)
=> animal(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_animal) ).
cnf(4,plain,
( ~ wolf(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[wolf_is_animal]) ).
cnf(l35,plain,
( ~ wolf(sK3)
| animal(sK3) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l23,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(l143,plain,
fox(sK4),
inference(instantiation,[status(thm)],[5]) ).
cnf(l15,plain,
( ~ snail(sK7)
| eats(sK7,sK11(sK7)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l46,plain,
( ~ snail(sK7)
| plant(sK11(sK7)) ),
inference(instantiation,[status(thm)],[28]) ).
fof(pel47_11a,plain,
! [X,Y] :
( ( wolf(X)
& grain(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
cnf(23,plain,
( ~ wolf(X0)
| ~ grain(X1)
| ~ eats(X0,X1) ),
inference(cnf,[status(esa)],[pel47_11a]) ).
cnf(l173,plain,
( ~ wolf(sK3)
| ~ grain(sK9)
| ~ eats(sK3,sK9) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l44,plain,
( ~ snail(sK7)
| plant(sK11(sK7)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l174,plain,
wolf(sK3),
inference(instantiation,[status(thm)],[3]) ).
cnf(l145,plain,
wolf(sK3),
inference(instantiation,[status(thm)],[3]) ).
cnf(l128,plain,
( ~ bird(sK5)
| ~ snail(sK7)
| ~ eats(sK5,sK7) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l102,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(l47,plain,
( ~ bird(sK5)
| ~ snail(sK7)
| much_smaller(sK7,sK5) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l96,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(l48,plain,
fox(sK4),
inference(instantiation,[status(thm)],[5]) ).
fof(snail_is_animal,plain,
! [A] :
( snail(A)
=> animal(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_animal) ).
cnf(12,plain,
( ~ snail(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[snail_is_animal]) ).
cnf(l6,plain,
( ~ snail(sK7)
| animal(sK7) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l17,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(l177,plain,
grain(sK9),
inference(instantiation,[status(thm)],[15]) ).
cnf(l148,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(l55,plain,
bird(sK5),
inference(instantiation,[status(thm)],[7]) ).
cnf(l170,plain,
fox(sK4),
inference(instantiation,[status(thm)],[5]) ).
cnf(l137,plain,
bird(sK5),
inference(instantiation,[status(thm)],[7]) ).
cnf(l58,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(l97,plain,
( ~ grain(sK9)
| plant(sK9) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l113,plain,
grain(sK9),
inference(instantiation,[status(thm)],[15]) ).
cnf(l57,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(l16,plain,
( ~ snail(sK7)
| animal(sK7) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l95,plain,
snail(sK7),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l28,l2,l7,l3,l53,l56,l18,l5,l8,l19,l54,l11,l33,l26,l12,l27,l4,l10,l34,l1,l20,l14,l25,l52,l32,l69,l13,l36,l98,l99,l168,l172,l21,l142,l22,l24,l169,l147,l144,l9,l43,l80,l35,l23,l143,l15,l46,l173,l44,l174,l145,l128,l102,l47,l96,l48,l6,l17,l177,l148,l55,l170,l137,l58,l97,l113,l57,l16,l95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ031+3 : TPTP v9.0.0. Released v4.1.0.
% 0.04/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 15:53:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.18/0.44 % launching worker at depth: 11
% 1.73/0.56 % SZS status Theorem for theBenchmark
% 1.73/0.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------