%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PUZ031+1 : TPTP v9.0.0. Released v2.0.0.
% 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 1.84s 0.57s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 115 ( 48 unt; 0 def)
% Number of atoms : 253 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 248 ( 110 ~; 107 |; 17 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 59 ( 0 sgn 19 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel47,plain,
? [X,Y] :
( animal(X)
& animal(Y)
& ? [Z] :
( grain(Z)
& eats(Y,Z)
& eats(X,Y) ) ),
file('/export/starexec/sandbox/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,
( ~ animal(X0)
| ~ animal(X1)
| ~ grain(X2)
| ~ eats(X0,X1)
| ~ eats(X1,X2) ),
inference(cnf,[status(esa)],[pel47_negated]) ).
cnf(l0,plain,
( ~ animal(sK2)
| ~ animal(sK3)
| ~ grain(sK6)
| ~ eats(sK2,sK3)
| ~ eats(sK3,sK6) ),
inference(instantiation,[status(thm)],[25]) ).
fof(pel47_3_1,plain,
! [X] :
( bird(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_1) ).
cnf(4,plain,
( ~ bird(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[pel47_3_1]) ).
cnf(l1,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(instantiation,[status(thm)],[4]) ).
fof(pel47_3_2,plain,
? [X1] : bird(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_2) ).
cnf(5,plain,
bird(sK3),
inference(cnf,[status(esa)],[pel47_3_2]) ).
cnf(l4,plain,
bird(sK3),
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(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(l3,plain,
( ~ animal(sK3)
| ~ animal(sK5)
| ~ plant(sK6)
| ~ plant(sK7(sK5))
| ~ eats(sK5,sK7(sK5))
| ~ much_smaller(sK5,sK3)
| eats(sK3,sK6)
| eats(sK3,sK5) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l9,plain,
( ~ animal(sK2)
| ~ animal(sK3)
| ~ plant(sK6)
| ~ plant(sK6)
| ~ eats(sK3,sK6)
| ~ much_smaller(sK3,sK2)
| eats(sK2,sK6)
| eats(sK2,sK3) ),
inference(instantiation,[status(thm)],[12]) ).
fof(pel47_6_2,plain,
! [X1] :
( grain(X1)
=> plant(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_6_2) ).
cnf(11,plain,
( ~ grain(X0)
| plant(X0) ),
inference(cnf,[status(esa)],[pel47_6_2]) ).
cnf(l13,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(instantiation,[status(thm)],[11]) ).
fof(pel47_14,plain,
! [X] :
( ( caterpillar(X)
| snail(X) )
=> ? [Y] :
( plant(Y)
& eats(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14) ).
cnf(24,plain,
( plant(sK7(X0))
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[pel47_14]) ).
cnf(l34,plain,
( plant(sK7(sK5))
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[24]) ).
fof(pel47_13,plain,
! [X,Y] :
( ( bird(X)
& snail(Y) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
cnf(20,plain,
( ~ bird(X0)
| ~ snail(X1)
| ~ eats(X0,X1) ),
inference(cnf,[status(esa)],[pel47_13]) ).
cnf(l46,plain,
( ~ bird(sK3)
| ~ snail(sK5)
| ~ eats(sK3,sK5) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l23,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l26,plain,
bird(sK3),
inference(instantiation,[status(thm)],[5]) ).
fof(pel47_6_1,plain,
? [X] : grain(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_6_1) ).
cnf(10,plain,
grain(sK6),
inference(cnf,[status(esa)],[pel47_6_1]) ).
cnf(l8,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
fof(pel47_5_2,plain,
? [X1] : snail(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_5_2) ).
cnf(9,plain,
snail(sK5),
inference(cnf,[status(esa)],[pel47_5_2]) ).
cnf(l58,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(23,plain,
( eats(X0,sK7(X0))
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[pel47_14]) ).
cnf(l28,plain,
( eats(sK5,sK7(sK5))
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l17,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(l14,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l49,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(l18,plain,
( ~ animal(sK3)
| ~ animal(sK5)
| ~ plant(sK6)
| ~ plant(sK7(sK5))
| ~ eats(sK5,sK7(sK5))
| ~ much_smaller(sK5,sK3)
| eats(sK3,sK6)
| eats(sK3,sK5) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l30,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l22,plain,
( ~ animal(sK1)
| ~ animal(sK2)
| ~ plant(sK6)
| ~ plant(sK6)
| ~ eats(sK2,sK6)
| ~ much_smaller(sK2,sK1)
| eats(sK1,sK6)
| eats(sK1,sK2) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l36,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l21,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(instantiation,[status(thm)],[4]) ).
fof(pel47_5_1,plain,
! [X] :
( snail(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_5_1) ).
cnf(8,plain,
( ~ snail(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[pel47_5_1]) ).
cnf(l5,plain,
( ~ snail(sK5)
| animal(sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l25,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(l27,plain,
( plant(sK7(sK5))
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l63,plain,
bird(sK3),
inference(instantiation,[status(thm)],[5]) ).
fof(pel47_2_1,plain,
! [X] :
( fox(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_1) ).
cnf(2,plain,
( ~ fox(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[pel47_2_1]) ).
cnf(l50,plain,
( ~ fox(sK2)
| animal(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l60,plain,
bird(sK3),
inference(instantiation,[status(thm)],[5]) ).
cnf(22,plain,
( ~ snail(X0)
| sP0(X0) ),
inference(cnf,[status(esa)],[pel47_14]) ).
cnf(l38,plain,
( ~ snail(sK5)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[22]) ).
fof(pel47_11,plain,
! [X,Y] :
( ( wolf(X)
& ( fox(Y)
| grain(Y) ) )
=> ~ eats(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
cnf(17,plain,
( ~ wolf(X0)
| ~ fox(X1)
| ~ eats(X0,X1) ),
inference(cnf,[status(esa)],[pel47_11]) ).
cnf(l168,plain,
( ~ wolf(sK1)
| ~ fox(sK2)
| ~ eats(sK1,sK2) ),
inference(instantiation,[status(thm)],[17]) ).
fof(pel47_2_2,plain,
? [X1] : fox(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_2) ).
cnf(3,plain,
fox(sK2),
inference(cnf,[status(esa)],[pel47_2_2]) ).
cnf(l71,plain,
fox(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l85,plain,
( ~ snail(sK5)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l59,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(l7,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l54,plain,
( ~ bird(sK3)
| ~ snail(sK5)
| ~ eats(sK3,sK5) ),
inference(instantiation,[status(thm)],[20]) ).
fof(pel47_8,plain,
! [X,Y] :
( ( bird(Y)
& ( snail(X)
| caterpillar(X) ) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
cnf(13,plain,
( ~ bird(X0)
| ~ snail(X1)
| much_smaller(X1,X0) ),
inference(cnf,[status(esa)],[pel47_8]) ).
cnf(l29,plain,
( ~ bird(sK3)
| ~ snail(sK5)
| much_smaller(sK5,sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l10,plain,
( ~ fox(sK2)
| animal(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l32,plain,
( eats(sK5,sK7(sK5))
| ~ sP0(sK5) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l56,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(l170,plain,
fox(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l44,plain,
( ~ snail(sK5)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l212,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(l33,plain,
( ~ snail(sK5)
| sP0(sK5) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l55,plain,
bird(sK3),
inference(instantiation,[status(thm)],[5]) ).
fof(pel47_1_2,plain,
? [X1] : wolf(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_2) ).
cnf(1,plain,
wolf(sK1),
inference(cnf,[status(esa)],[pel47_1_2]) ).
cnf(l169,plain,
wolf(sK1),
inference(instantiation,[status(thm)],[1]) ).
fof(pel47_10,plain,
! [X,Y] :
( ( fox(X)
& wolf(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
cnf(16,plain,
( ~ wolf(X0)
| ~ fox(X1)
| much_smaller(X1,X0) ),
inference(cnf,[status(esa)],[pel47_10]) ).
cnf(l174,plain,
( ~ wolf(sK1)
| ~ fox(sK2)
| much_smaller(sK2,sK1) ),
inference(instantiation,[status(thm)],[16]) ).
fof(pel47_9,plain,
! [X,Y] :
( ( bird(X)
& fox(Y) )
=> much_smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
cnf(15,plain,
( ~ fox(X0)
| ~ bird(X1)
| much_smaller(X1,X0) ),
inference(cnf,[status(esa)],[pel47_9]) ).
cnf(l11,plain,
( ~ fox(sK2)
| ~ bird(sK3)
| much_smaller(sK3,sK2) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l51,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(l19,plain,
fox(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l176,plain,
fox(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l62,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l37,plain,
( ~ bird(sK3)
| ~ snail(sK5)
| much_smaller(sK5,sK3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l45,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(l217,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(l43,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(l20,plain,
fox(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l177,plain,
wolf(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l12,plain,
bird(sK3),
inference(instantiation,[status(thm)],[5]) ).
cnf(l143,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(l42,plain,
bird(sK3),
inference(instantiation,[status(thm)],[5]) ).
cnf(l57,plain,
bird(sK3),
inference(instantiation,[status(thm)],[5]) ).
cnf(l88,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
fof(pel47_1_1,plain,
! [X] :
( wolf(X)
=> animal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_1) ).
cnf(0,plain,
( ~ wolf(X0)
| animal(X0) ),
inference(cnf,[status(esa)],[pel47_1_1]) ).
cnf(l47,plain,
( ~ wolf(sK1)
| animal(sK1) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l53,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(l2,plain,
( ~ fox(sK2)
| animal(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
fox(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l41,plain,
bird(sK3),
inference(instantiation,[status(thm)],[5]) ).
cnf(l24,plain,
( ~ snail(sK5)
| animal(sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l75,plain,
wolf(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l48,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l52,plain,
snail(sK5),
inference(instantiation,[status(thm)],[9]) ).
cnf(l237,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(18,plain,
( ~ wolf(X0)
| ~ grain(X1)
| ~ eats(X0,X1) ),
inference(cnf,[status(esa)],[pel47_11]) ).
cnf(l175,plain,
( ~ wolf(sK1)
| ~ grain(sK6)
| ~ eats(sK1,sK6) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l283,plain,
wolf(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l282,plain,
grain(sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l9,l13,l34,l46,l23,l26,l8,l58,l28,l17,l14,l49,l18,l30,l22,l36,l21,l5,l25,l27,l63,l50,l60,l38,l168,l71,l85,l59,l7,l54,l29,l10,l32,l56,l170,l44,l212,l33,l55,l169,l174,l11,l51,l19,l176,l62,l37,l45,l217,l43,l20,l177,l12,l143,l42,l57,l88,l47,l53,l2,l6,l41,l24,l75,l48,l52,l237,l175,l283,l282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ031+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 15:52:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.36 % launching worker at depth: 11
% 0.19/0.45 % launching worker at depth: 12
% 1.84/0.57 % SZS status Theorem for theBenchmark
% 1.84/0.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------