%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PUZ031+2 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of formulae : 115 ( 50 unt; 0 def)
% Number of atoms : 250 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 242 ( 107 ~; 100 |; 19 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 64 ( 0 sgn 22 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel47,plain,
? [X,Y] :
( animal(X)
& animal(Y)
& ? [Z] :
( grain(Z)
& eats(Y,Z)
& eats(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(pel47_negated,plain,
~ ? [X,Y] :
( animal(X)
& animal(Y)
& ? [Z] :
( grain(Z)
& eats(Y,Z)
& eats(X,Y) ) ),
inference(negate_conjecture,[status(cth)],[pel47]) ).
cnf(25,plain,
( ~ grain(X0)
| ~ animal(X1)
| ~ animal(X2)
| ~ eats(X1,X2)
| ~ eats(X2,X0) ),
inference(cnf,[status(esa)],[pel47_negated]) ).
cnf(l0,plain,
( ~ grain(sK6)
| ~ animal(sK2)
| ~ animal(sK3)
| ~ eats(sK2,sK3)
| ~ eats(sK3,sK6) ),
inference(instantiation,[status(thm)],[25]) ).
fof(pel47_2_1,plain,
! [X] :
( fox(X)
=> animal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).
cnf(6,plain,
( ~ fox(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[pel47_2_1]) ).
cnf(l1,plain,
( ~ fox(sK2)
| animal(sK2) ),
inference(instantiation,[status(thm)],[6]) ).
fof(fox_type,plain,
? [A] : fox(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_type) ).
cnf(1,plain,
fox(sK2),
inference(cnf,[status(esa)],[fox_type]) ).
cnf(l5,plain,
fox(sK2),
inference(instantiation,[status(thm)],[1]) ).
fof(grain_type,plain,
? [A] : grain(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_type) ).
cnf(10,plain,
grain(sK6),
inference(cnf,[status(esa)],[grain_type]) ).
cnf(l2,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
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/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
cnf(12,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(l11,plain,
( ~ animal(sK3)
| ~ animal(sK5)
| ~ plant(sK6)
| ~ plant(sK8(sK5))
| ~ eats(sK5,sK8(sK5))
| ~ much_smaller(sK5,sK3)
| eats(sK3,sK6)
| eats(sK3,sK5) ),
inference(instantiation,[status(thm)],[12]) ).
fof(pel47_6_2,plain,
! [X] :
( grain(X)
=> plant(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_2) ).
cnf(11,plain,
( ~ grain(X0)
| plant(X0) ),
inference(cnf,[status(esa)],[pel47_6_2]) ).
cnf(l33,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(instantiation,[status(thm)],[11]) ).
fof(pel47_14a,plain,
! [X] :
( snail(X)
=> ? [Y] :
( plant(Y)
& eats(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
cnf(23,plain,
( ~ snail(X0)
| plant(sK8(X0)) ),
inference(cnf,[status(esa)],[pel47_14a]) ).
cnf(l30,plain,
( ~ snail(sK5)
| plant(sK8(sK5)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(24,plain,
( ~ snail(X0)
| eats(X0,sK8(X0)) ),
inference(cnf,[status(esa)],[pel47_14a]) ).
cnf(l31,plain,
( ~ snail(sK5)
| eats(sK5,sK8(sK5)) ),
inference(instantiation,[status(thm)],[24]) ).
fof(snail_type,plain,
? [A] : snail(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_type) ).
cnf(4,plain,
snail(sK5),
inference(cnf,[status(esa)],[snail_type]) ).
cnf(l38,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
fof(pel47_8,plain,
! [Y,X] :
( ( bird(Y)
& snail(X) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
cnf(13,plain,
( ~ snail(X0)
| ~ bird(X1)
| much_smaller(X0,X1) ),
inference(cnf,[status(esa)],[pel47_8]) ).
cnf(l12,plain,
( ~ snail(sK5)
| ~ bird(sK3)
| much_smaller(sK5,sK3) ),
inference(instantiation,[status(thm)],[13]) ).
fof(pel47_13,plain,
! [X,Y] :
( ( bird(X)
& snail(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
cnf(20,plain,
( ~ snail(X0)
| ~ bird(X1)
| ~ eats(X1,X0) ),
inference(cnf,[status(esa)],[pel47_13]) ).
cnf(l35,plain,
( ~ snail(sK5)
| ~ bird(sK3)
| ~ eats(sK3,sK5) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l34,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
fof(bird_type,plain,
? [A] : bird(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_type) ).
cnf(2,plain,
bird(sK3),
inference(cnf,[status(esa)],[bird_type]) ).
cnf(l28,plain,
bird(sK3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l48,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(l36,plain,
bird(sK3),
inference(instantiation,[status(thm)],[2]) ).
fof(pel47_3_1,plain,
! [X] :
( bird(X)
=> animal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
cnf(7,plain,
( ~ bird(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[pel47_3_1]) ).
cnf(l7,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l3,plain,
( ~ animal(sK2)
| ~ animal(sK3)
| ~ plant(sK7(sK4))
| ~ plant(sK7(sK4))
| ~ eats(sK3,sK7(sK4))
| ~ much_smaller(sK3,sK2)
| eats(sK2,sK7(sK4))
| eats(sK2,sK3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l17,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(instantiation,[status(thm)],[7]) ).
fof(pel47_9,plain,
! [X,Y] :
( ( bird(X)
& fox(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
cnf(15,plain,
( ~ fox(X0)
| ~ bird(X1)
| much_smaller(X1,X0) ),
inference(cnf,[status(esa)],[pel47_9]) ).
cnf(l15,plain,
( ~ fox(sK2)
| ~ bird(sK3)
| much_smaller(sK3,sK2) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l63,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
cnf(l19,plain,
bird(sK3),
inference(instantiation,[status(thm)],[2]) ).
fof(pel47_14,plain,
! [X] :
( caterpillar(X)
=> ? [Y] :
( plant(Y)
& eats(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).
cnf(21,plain,
( ~ caterpillar(X0)
| plant(sK7(X0)) ),
inference(cnf,[status(esa)],[pel47_14]) ).
cnf(l18,plain,
( ~ caterpillar(sK4)
| plant(sK7(sK4)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l52,plain,
( ~ animal(sK1)
| ~ animal(sK2)
| ~ plant(sK6)
| ~ plant(sK7(sK4))
| ~ eats(sK2,sK7(sK4))
| ~ much_smaller(sK2,sK1)
| eats(sK1,sK6)
| eats(sK1,sK2) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l54,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(instantiation,[status(thm)],[11]) ).
fof(pel47_11a,plain,
! [X,Y] :
( ( wolf(X)
& grain(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
cnf(18,plain,
( ~ wolf(X0)
| ~ grain(X1)
| ~ eats(X0,X1) ),
inference(cnf,[status(esa)],[pel47_11a]) ).
cnf(l106,plain,
( ~ wolf(sK1)
| ~ grain(sK6)
| ~ eats(sK1,sK6) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l37,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
fof(pel47_11,plain,
! [X,Y] :
( ( wolf(X)
& fox(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
cnf(17,plain,
( ~ fox(X0)
| ~ wolf(X1)
| ~ eats(X1,X0) ),
inference(cnf,[status(esa)],[pel47_11]) ).
cnf(l111,plain,
( ~ fox(sK2)
| ~ wolf(sK1)
| ~ eats(sK1,sK2) ),
inference(instantiation,[status(thm)],[17]) ).
fof(pel47_4_2,plain,
! [X] :
( snail(X)
=> animal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_4_2) ).
cnf(9,plain,
( ~ snail(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[pel47_4_2]) ).
cnf(l13,plain,
( ~ snail(sK5)
| animal(sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l22,plain,
bird(sK3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l8,plain,
( ~ animal(sK3)
| ~ animal(sK5)
| ~ plant(sK7(sK4))
| ~ plant(sK8(sK5))
| ~ eats(sK5,sK8(sK5))
| ~ much_smaller(sK5,sK3)
| eats(sK3,sK7(sK4))
| eats(sK3,sK5) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l9,plain,
( ~ caterpillar(sK4)
| plant(sK7(sK4)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l112,plain,
fox(sK2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l16,plain,
bird(sK3),
inference(instantiation,[status(thm)],[2]) ).
fof(caterpillar_type,plain,
? [A] : caterpillar(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',caterpillar_type) ).
cnf(3,plain,
caterpillar(sK4),
inference(cnf,[status(esa)],[caterpillar_type]) ).
cnf(l20,plain,
caterpillar(sK4),
inference(instantiation,[status(thm)],[3]) ).
cnf(l29,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
fof(pel47_10,plain,
! [X,Y] :
( ( fox(X)
& wolf(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
cnf(16,plain,
( ~ fox(X0)
| ~ wolf(X1)
| much_smaller(X0,X1) ),
inference(cnf,[status(esa)],[pel47_10]) ).
cnf(l103,plain,
( ~ fox(sK2)
| ~ wolf(sK1)
| much_smaller(sK2,sK1) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l119,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
fof(pel47_1_1,plain,
! [X] :
( wolf(X)
=> animal(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).
cnf(5,plain,
( ~ wolf(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[pel47_1_1]) ).
cnf(l56,plain,
( ~ wolf(sK1)
| animal(sK1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l25,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l4,plain,
( ~ fox(sK2)
| animal(sK2) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l6,plain,
fox(sK2),
inference(instantiation,[status(thm)],[1]) ).
fof(wolf_type,plain,
? [A] : wolf(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_type) ).
cnf(0,plain,
wolf(sK1),
inference(cnf,[status(esa)],[wolf_type]) ).
cnf(l108,plain,
wolf(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l42,plain,
bird(sK3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l117,plain,
wolf(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l60,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(l116,plain,
fox(sK2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
caterpillar(sK4),
inference(instantiation,[status(thm)],[3]) ).
cnf(l53,plain,
( ~ fox(sK2)
| animal(sK2) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l91,plain,
( ~ caterpillar(sK4)
| plant(sK7(sK4)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l39,plain,
( ~ caterpillar(sK4)
| plant(sK7(sK4)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l26,plain,
( ~ snail(sK5)
| ~ bird(sK3)
| much_smaller(sK5,sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l46,plain,
bird(sK3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l122,plain,
wolf(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l100,plain,
( ~ snail(sK5)
| ~ bird(sK3)
| ~ eats(sK3,sK5) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l44,plain,
( ~ snail(sK5)
| plant(sK8(sK5)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l110,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
cnf(l49,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
cnf(l41,plain,
caterpillar(sK4),
inference(instantiation,[status(thm)],[3]) ).
cnf(l64,plain,
fox(sK2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l47,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
cnf(l21,plain,
fox(sK2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l113,plain,
bird(sK3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l24,plain,
( ~ snail(sK5)
| eats(sK5,sK8(sK5)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l115,plain,
caterpillar(sK4),
inference(instantiation,[status(thm)],[3]) ).
cnf(l94,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
cnf(l14,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l27,plain,
( ~ snail(sK5)
| animal(sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l23,plain,
bird(sK3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l114,plain,
wolf(sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l43,plain,
snail(sK5),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l2,l11,l33,l30,l31,l38,l12,l35,l34,l28,l48,l36,l7,l3,l17,l15,l63,l19,l18,l52,l54,l106,l37,l111,l13,l22,l8,l9,l112,l16,l20,l29,l103,l119,l56,l25,l4,l6,l108,l42,l117,l60,l116,l10,l53,l91,l39,l26,l46,l122,l100,l44,l110,l49,l41,l64,l47,l21,l113,l24,l115,l94,l14,l27,l23,l114,l43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ031+2 : TPTP v9.0.0. Released v4.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 15:53:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.39 % launching worker at depth: 11
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------