%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 : Thu Sep 24 08:54:21 AM UTC 2026
% Result : Theorem 3.95s 9.24s
% Output : Proof 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 222 ( 135 unt; 0 def)
% Number of atoms : 415 ( 0 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 363 ( 170 ~; 159 |; 20 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 121 ( 0 sgn 72 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(wolf_type,axiom,
? [A] : wolf(A),
file('theBenchmark.p',wolf_type) ).
fof(fox_type,axiom,
? [A] : fox(A),
file('theBenchmark.p',fox_type) ).
fof(bird_type,axiom,
? [A] : bird(A),
file('theBenchmark.p',bird_type) ).
fof(snail_type,axiom,
? [A] : snail(A),
file('theBenchmark.p',snail_type) ).
fof(pel47_1_1,axiom,
! [X] :
( wolf(X)
=> animal(X) ),
file('theBenchmark.p',pel47_1_1) ).
fof(pel47_2_1,axiom,
! [X] :
( fox(X)
=> animal(X) ),
file('theBenchmark.p',pel47_2_1) ).
fof(pel47_3_1,axiom,
! [X] :
( bird(X)
=> animal(X) ),
file('theBenchmark.p',pel47_3_1) ).
fof(pel47_4_2,axiom,
! [X] :
( snail(X)
=> animal(X) ),
file('theBenchmark.p',pel47_4_2) ).
fof(grain_type,axiom,
? [A] : grain(A),
file('theBenchmark.p',grain_type) ).
fof(pel47_6_2,axiom,
! [X] :
( grain(X)
=> plant(X) ),
file('theBenchmark.p',pel47_6_2) ).
fof(pel47_7,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('theBenchmark.p',pel47_7) ).
fof(pel47_8,axiom,
! [Y,X] :
( ( snail(X)
& bird(Y) )
=> much_smaller(X,Y) ),
file('theBenchmark.p',pel47_8) ).
fof(pel47_9,axiom,
! [X,Y] :
( ( fox(Y)
& bird(X) )
=> much_smaller(X,Y) ),
file('theBenchmark.p',pel47_9) ).
fof(pel47_10,axiom,
! [X,Y] :
( ( wolf(Y)
& fox(X) )
=> much_smaller(X,Y) ),
file('theBenchmark.p',pel47_10) ).
fof(pel47_11a,axiom,
! [X,Y] :
( ( grain(Y)
& wolf(X) )
=> ~ eats(X,Y) ),
file('theBenchmark.p',pel47_11a) ).
fof(pel47_13,axiom,
! [X,Y] :
( ( snail(Y)
& bird(X) )
=> ~ eats(X,Y) ),
file('theBenchmark.p',pel47_13) ).
fof(pel47_14a,axiom,
! [X] :
( snail(X)
=> ? [Y] :
( eats(X,Y)
& plant(Y) ) ),
file('theBenchmark.p',pel47_14a) ).
fof(pel47,conjecture,
? [X,Y] :
( ? [Z] :
( eats(X,Y)
& eats(Y,Z)
& grain(Z) )
& animal(Y)
& animal(X) ),
file('theBenchmark.p',pel47) ).
fof(f_1_1,plain,
? [A] : wolf(A),
inference(fof_nnf,[status(thm)],[wolf_type]) ).
fof(f_1_2,plain,
? [U_0] : wolf(U_0),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
wolf(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_2]) ).
cnf(f_1_4,plain,
wolf(sK1),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
? [A] : fox(A),
inference(fof_nnf,[status(thm)],[fox_type]) ).
fof(f_2_2,plain,
? [U_1] : fox(U_1),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
fox(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2)],[f_2_2]) ).
cnf(f_2_4,plain,
fox(sK2),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
? [A] : bird(A),
inference(fof_nnf,[status(thm)],[bird_type]) ).
fof(f_3_2,plain,
? [U_2] : bird(U_2),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
bird(sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_2,sK3)],[f_3_2]) ).
cnf(f_3_4,plain,
bird(sK3),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_5_1,plain,
? [A] : snail(A),
inference(fof_nnf,[status(thm)],[snail_type]) ).
fof(f_5_2,plain,
? [U_4] : snail(U_4),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
snail(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_4,sK5)],[f_5_2]) ).
cnf(f_5_4,plain,
snail(sK5),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [X] :
( animal(X)
| ~ wolf(X) ),
inference(fof_nnf,[status(thm)],[pel47_1_1]) ).
fof(f_6_2,plain,
! [U_5] :
( animal(U_5)
| ~ wolf(U_5) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( animal(U_5)
| ~ wolf(U_5) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [X] :
( animal(X)
| ~ fox(X) ),
inference(fof_nnf,[status(thm)],[pel47_2_1]) ).
fof(f_7_2,plain,
! [U_6] :
( animal(U_6)
| ~ fox(U_6) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( animal(U_6)
| ~ fox(U_6) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [X] :
( animal(X)
| ~ bird(X) ),
inference(fof_nnf,[status(thm)],[pel47_3_1]) ).
fof(f_8_2,plain,
! [U_7] :
( animal(U_7)
| ~ bird(U_7) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( animal(U_7)
| ~ bird(U_7) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_10_1,plain,
! [X] :
( animal(X)
| ~ snail(X) ),
inference(fof_nnf,[status(thm)],[pel47_4_2]) ).
fof(f_10_2,plain,
! [U_9] :
( animal(U_9)
| ~ snail(U_9) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( animal(U_9)
| ~ snail(U_9) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
? [A] : grain(A),
inference(fof_nnf,[status(thm)],[grain_type]) ).
fof(f_11_2,plain,
? [U_10] : grain(U_10),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
grain(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_10,sK6)],[f_11_2]) ).
cnf(f_11_4,plain,
grain(sK6),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_1,plain,
! [X] :
( plant(X)
| ~ grain(X) ),
inference(fof_nnf,[status(thm)],[pel47_6_2]) ).
fof(f_12_2,plain,
! [U_11] :
( plant(U_11)
| ~ grain(U_11) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( plant(U_11)
| ~ grain(U_11) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,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(fof_nnf,[status(thm)],[pel47_7]) ).
fof(f_13_2,plain,
! [U_15] :
( ! [U_14] :
( eats(U_15,U_14)
| ! [U_13] :
( ~ eats(U_14,U_13)
| ~ plant(U_13) )
| ~ much_smaller(U_14,U_15)
| ~ animal(U_14) )
| ! [U_12] :
( eats(U_15,U_12)
| ~ plant(U_12) )
| ~ animal(U_15) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( eats(U_15,U_14)
| ~ eats(U_14,U_13)
| ~ plant(U_13)
| ~ much_smaller(U_14,U_15)
| ~ animal(U_14)
| eats(U_15,U_12)
| ~ plant(U_12)
| ~ animal(U_15) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
! [Y,X] :
( much_smaller(X,Y)
| ~ snail(X)
| ~ bird(Y) ),
inference(fof_nnf,[status(thm)],[pel47_8]) ).
fof(f_14_2,plain,
! [U_17,U_16] :
( much_smaller(U_16,U_17)
| ~ snail(U_16)
| ~ bird(U_17) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( much_smaller(U_16,U_17)
| ~ snail(U_16)
| ~ bird(U_17) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_16_1,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ fox(Y)
| ~ bird(X) ),
inference(fof_nnf,[status(thm)],[pel47_9]) ).
fof(f_16_2,plain,
! [U_21,U_20] :
( much_smaller(U_21,U_20)
| ~ fox(U_20)
| ~ bird(U_21) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( much_smaller(U_21,U_20)
| ~ fox(U_20)
| ~ bird(U_21) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ wolf(Y)
| ~ fox(X) ),
inference(fof_nnf,[status(thm)],[pel47_10]) ).
fof(f_17_2,plain,
! [U_23,U_22] :
( much_smaller(U_23,U_22)
| ~ wolf(U_22)
| ~ fox(U_23) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( much_smaller(U_23,U_22)
| ~ wolf(U_22)
| ~ fox(U_23) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_19_1,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ grain(Y)
| ~ wolf(X) ),
inference(fof_nnf,[status(thm)],[pel47_11a]) ).
fof(f_19_2,plain,
! [U_27,U_26] :
( ~ eats(U_27,U_26)
| ~ grain(U_26)
| ~ wolf(U_27) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( ~ eats(U_27,U_26)
| ~ grain(U_26)
| ~ wolf(U_27) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_21_1,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ snail(Y)
| ~ bird(X) ),
inference(fof_nnf,[status(thm)],[pel47_13]) ).
fof(f_21_2,plain,
! [U_31,U_30] :
( ~ eats(U_31,U_30)
| ~ snail(U_30)
| ~ bird(U_31) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( ~ eats(U_31,U_30)
| ~ snail(U_30)
| ~ bird(U_31) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_23_1,plain,
! [X] :
( ? [Y] :
( eats(X,Y)
& plant(Y) )
| ~ snail(X) ),
inference(fof_nnf,[status(thm)],[pel47_14a]) ).
fof(f_23_2,plain,
! [U_35] :
( ? [U_34] :
( eats(U_35,U_34)
& plant(U_34) )
| ~ snail(U_35) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_35] :
( ( eats(U_35,sK8(U_35))
& plant(sK8(U_35)) )
| ~ snail(U_35) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_34,sK8(U_35))],[f_23_2]) ).
cnf(f_23_4,plain,
( plant(sK8(U_35))
| ~ snail(U_35) ),
inference(clausify,[status(thm)],[f_23_3]) ).
cnf(f_23_5,plain,
( eats(U_35,sK8(U_35))
| ~ snail(U_35) ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,negated_conjecture,
~ ? [X,Y] :
( ? [Z] :
( eats(X,Y)
& eats(Y,Z)
& grain(Z) )
& animal(Y)
& animal(X) ),
inference(negate,[status(cth)],[pel47]) ).
fof(f_24_2,negated_conjecture,
! [X,Y] :
( ! [Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) )
| ~ animal(Y)
| ~ animal(X) ),
inference(fof_nnf,[status(thm)],[f_24_1]) ).
fof(f_24_3,negated_conjecture,
! [U_38,U_37] :
( ! [U_36] :
( ~ eats(U_38,U_37)
| ~ eats(U_37,U_36)
| ~ grain(U_36) )
| ~ animal(U_37)
| ~ animal(U_38) ),
inference(variable_rename,[status(thm)],[f_24_2]) ).
fof(f_24_4,negated_conjecture,
! [U_38] :
( ! [U_37] :
( ! [U_36] :
( ~ eats(U_37,U_36)
| ~ grain(U_36) )
| ~ eats(U_38,U_37)
| ~ animal(U_37) )
| ~ animal(U_38) ),
inference(miniscope,[status(thm)],[f_24_3]) ).
fof(f_24_5,negated_conjecture,
! [U_36,U_37,U_38] :
( ~ eats(U_37,U_36)
| ~ grain(U_36)
| ~ eats(U_38,U_37)
| ~ animal(U_37)
| ~ animal(U_38) ),
inference(definitional_conversion,[status(esa)],[f_24_4]) ).
cnf(f_24_6,negated_conjecture,
( ~ eats(U_37,U_36)
| ~ grain(U_36)
| ~ eats(U_38,U_37)
| ~ animal(U_37)
| ~ animal(U_38) ),
inference(clausify,[status(thm)],[f_24_5]) ).
cnf(t1,plain,
( ~ animal(sK3)
| ~ eats(sK2,sK3)
| ~ grain(sK6)
| ~ eats(sK3,sK6)
| ~ animal(sK2) ),
inference(start,[status(thm),parent(0:0)],[f_24_6]) ).
cnf(t2,plain,
( ~ fox(sK2)
| animal(sK2) ),
inference(extension,[status(thm),parent(t1:1)],[f_7_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
fox(sK2),
inference(extension,[status(thm),parent(t2:2)],[f_2_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l1,lemma,
animal(sK2),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t6,plain,
( ~ plant(sK6)
| eats(sK3,sK5)
| ~ animal(sK5)
| ~ much_smaller(sK5,sK3)
| ~ plant(sK8(sK5))
| ~ eats(sK5,sK8(sK5))
| ~ animal(sK3)
| eats(sK3,sK6) ),
inference(extension,[status(thm),parent(t1:2)],[f_13_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).
cnf(t8,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(extension,[status(thm),parent(t6:2)],[f_8_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
bird(sK3),
inference(extension,[status(thm),parent(t8:2)],[f_3_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ snail(sK5)
| eats(sK5,sK8(sK5)) ),
inference(extension,[status(thm),parent(t6:3)],[f_23_5]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
snail(sK5),
inference(extension,[status(thm),parent(t12:2)],[f_5_4]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( ~ snail(sK5)
| plant(sK8(sK5)) ),
inference(extension,[status(thm),parent(t6:4)],[f_23_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t6:4]) ).
cnf(t18,plain,
snail(sK5),
inference(extension,[status(thm),parent(t16:2)],[f_5_4]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ snail(sK5)
| ~ bird(sK3)
| much_smaller(sK5,sK3) ),
inference(extension,[status(thm),parent(t6:5)],[f_14_3]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t6:5]) ).
cnf(t22,plain,
bird(sK3),
inference(extension,[status(thm),parent(t20:2)],[f_3_4]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
snail(sK5),
inference(extension,[status(thm),parent(t20:3)],[f_5_4]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
( ~ snail(sK5)
| animal(sK5) ),
inference(extension,[status(thm),parent(t6:6)],[f_10_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t6:6]) ).
cnf(t28,plain,
snail(sK5),
inference(extension,[status(thm),parent(t26:2)],[f_5_4]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ snail(sK5)
| ~ bird(sK3)
| ~ eats(sK3,sK5) ),
inference(extension,[status(thm),parent(t6:7)],[f_21_3]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t6:7]) ).
cnf(t32,plain,
bird(sK3),
inference(extension,[status(thm),parent(t30:2)],[f_3_4]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
snail(sK5),
inference(extension,[status(thm),parent(t30:3)],[f_5_4]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(extension,[status(thm),parent(t6:8)],[f_12_3]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t6:8]) ).
cnf(t38,plain,
grain(sK6),
inference(extension,[status(thm),parent(t36:2)],[f_11_4]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
grain(sK6),
inference(extension,[status(thm),parent(t1:3)],[f_11_4]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t1:3]) ).
cnf(l20,lemma,
grain(sK6),
inference(lemma,[status(cth),parent(t1:3),below(0:0)],[t1:3]) ).
cnf(t42,plain,
( ~ plant(sK6)
| eats(sK2,sK6)
| ~ animal(sK3)
| ~ much_smaller(sK3,sK2)
| ~ plant(sK8(sK5))
| ~ eats(sK3,sK8(sK5))
| ~ animal(sK2)
| eats(sK2,sK3) ),
inference(extension,[status(thm),parent(t1:4)],[f_13_3]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t1:4]) ).
cnf(t44,plain,
animal(sK2),
inference(lemma_extension,[status(thm),parent(t42:2)],[l1:1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ plant(sK8(sK5))
| eats(sK3,sK5)
| ~ animal(sK5)
| ~ much_smaller(sK5,sK3)
| ~ plant(sK8(sK5))
| ~ eats(sK5,sK8(sK5))
| ~ animal(sK3)
| eats(sK3,sK8(sK5)) ),
inference(extension,[status(thm),parent(t42:3)],[f_13_3]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(extension,[status(thm),parent(t46:2)],[f_8_3]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
bird(sK3),
inference(extension,[status(thm),parent(t48:2)],[f_3_4]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
( ~ snail(sK5)
| eats(sK5,sK8(sK5)) ),
inference(extension,[status(thm),parent(t46:3)],[f_23_5]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t46:3]) ).
cnf(t54,plain,
snail(sK5),
inference(extension,[status(thm),parent(t52:2)],[f_5_4]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
( ~ snail(sK5)
| plant(sK8(sK5)) ),
inference(extension,[status(thm),parent(t46:4)],[f_23_4]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t46:4]) ).
cnf(t58,plain,
snail(sK5),
inference(extension,[status(thm),parent(t56:2)],[f_5_4]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
( ~ snail(sK5)
| ~ bird(sK3)
| much_smaller(sK5,sK3) ),
inference(extension,[status(thm),parent(t46:5)],[f_14_3]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t46:5]) ).
cnf(t62,plain,
bird(sK3),
inference(extension,[status(thm),parent(t60:2)],[f_3_4]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
snail(sK5),
inference(extension,[status(thm),parent(t60:3)],[f_5_4]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(t66,plain,
( ~ snail(sK5)
| animal(sK5) ),
inference(extension,[status(thm),parent(t46:6)],[f_10_3]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t46:6]) ).
cnf(t68,plain,
snail(sK5),
inference(extension,[status(thm),parent(t66:2)],[f_5_4]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
( ~ snail(sK5)
| ~ bird(sK3)
| ~ eats(sK3,sK5) ),
inference(extension,[status(thm),parent(t46:7)],[f_21_3]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t46:7]) ).
cnf(t72,plain,
bird(sK3),
inference(extension,[status(thm),parent(t70:2)],[f_3_4]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t70:2]) ).
cnf(t74,plain,
snail(sK5),
inference(extension,[status(thm),parent(t70:3)],[f_5_4]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t70:3]) ).
cnf(t76,plain,
( ~ snail(sK5)
| plant(sK8(sK5)) ),
inference(extension,[status(thm),parent(t46:8)],[f_23_4]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t46:8]) ).
cnf(t78,plain,
snail(sK5),
inference(extension,[status(thm),parent(t76:2)],[f_5_4]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t76:2]) ).
cnf(t80,plain,
( ~ snail(sK5)
| plant(sK8(sK5)) ),
inference(extension,[status(thm),parent(t42:4)],[f_23_4]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t42:4]) ).
cnf(t82,plain,
snail(sK5),
inference(extension,[status(thm),parent(t80:2)],[f_5_4]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t80:2]) ).
cnf(t84,plain,
( ~ fox(sK2)
| ~ bird(sK3)
| much_smaller(sK3,sK2) ),
inference(extension,[status(thm),parent(t42:5)],[f_16_3]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t42:5]) ).
cnf(t86,plain,
bird(sK3),
inference(extension,[status(thm),parent(t84:2)],[f_3_4]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(t88,plain,
fox(sK2),
inference(extension,[status(thm),parent(t84:3)],[f_2_4]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t84:3]) ).
cnf(t90,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(extension,[status(thm),parent(t42:6)],[f_8_3]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t42:6]) ).
cnf(t92,plain,
bird(sK3),
inference(extension,[status(thm),parent(t90:2)],[f_3_4]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
( ~ plant(sK6)
| eats(sK1,sK6)
| ~ animal(sK2)
| ~ much_smaller(sK2,sK1)
| ~ plant(sK6)
| eats(sK1,sK2)
| ~ animal(sK1)
| ~ eats(sK2,sK6) ),
inference(extension,[status(thm),parent(t42:7)],[f_13_3]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t42:7]) ).
cnf(t96,plain,
( ~ wolf(sK1)
| animal(sK1) ),
inference(extension,[status(thm),parent(t94:2)],[f_6_3]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t94:2]) ).
cnf(t98,plain,
wolf(sK1),
inference(extension,[status(thm),parent(t96:2)],[f_1_4]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(l47,lemma,
animal(sK1),
inference(lemma,[status(cth),parent(t94:2),below(t42:7)],[t94:2]) ).
cnf(t100,plain,
( ~ animal(sK2)
| ~ eats(sK2,sK6)
| ~ grain(sK6)
| ~ animal(sK1)
| ~ eats(sK1,sK2) ),
inference(extension,[status(thm),parent(t94:3)],[f_24_6]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t94:3]) ).
cnf(t102,plain,
animal(sK1),
inference(lemma_extension,[status(thm),parent(t100:2)],[l47:1]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t100:2]) ).
cnf(t104,plain,
grain(sK6),
inference(extension,[status(thm),parent(t100:3)],[f_11_4]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t100:3]) ).
cnf(t106,plain,
$false,
inference(reduction,[status(thm),parent(t100:4)],[t100:4,t42:7]) ).
cnf(t107,plain,
animal(sK2),
inference(lemma_extension,[status(thm),parent(t100:5)],[l1:1]) ).
cnf(t108,plain,
$false,
inference(connection,[status(thm),parent(t107:1)],[t107:1,t100:5]) ).
cnf(t109,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(extension,[status(thm),parent(t94:4)],[f_12_3]) ).
cnf(t110,plain,
$false,
inference(connection,[status(thm),parent(t109:1)],[t109:1,t94:4]) ).
cnf(t111,plain,
grain(sK6),
inference(lemma_extension,[status(thm),parent(t109:2)],[l20:1]) ).
cnf(t112,plain,
$false,
inference(connection,[status(thm),parent(t111:1)],[t111:1,t109:2]) ).
cnf(l52,lemma,
plant(sK6),
inference(lemma,[status(cth),parent(t94:4),below(t42:7)],[t94:4]) ).
cnf(t113,plain,
( ~ wolf(sK1)
| ~ fox(sK2)
| much_smaller(sK2,sK1) ),
inference(extension,[status(thm),parent(t94:5)],[f_17_3]) ).
cnf(t114,plain,
$false,
inference(connection,[status(thm),parent(t113:1)],[t113:1,t94:5]) ).
cnf(t115,plain,
fox(sK2),
inference(extension,[status(thm),parent(t113:2)],[f_2_4]) ).
cnf(t116,plain,
$false,
inference(connection,[status(thm),parent(t115:1)],[t115:1,t113:2]) ).
cnf(t117,plain,
wolf(sK1),
inference(extension,[status(thm),parent(t113:3)],[f_1_4]) ).
cnf(t118,plain,
$false,
inference(connection,[status(thm),parent(t117:1)],[t117:1,t113:3]) ).
cnf(t119,plain,
animal(sK2),
inference(lemma_extension,[status(thm),parent(t94:6)],[l1:1]) ).
cnf(t120,plain,
$false,
inference(connection,[status(thm),parent(t119:1)],[t119:1,t94:6]) ).
cnf(t121,plain,
( ~ grain(sK6)
| ~ wolf(sK1)
| ~ eats(sK1,sK6) ),
inference(extension,[status(thm),parent(t94:7)],[f_19_3]) ).
cnf(t122,plain,
$false,
inference(connection,[status(thm),parent(t121:1)],[t121:1,t94:7]) ).
cnf(t123,plain,
wolf(sK1),
inference(extension,[status(thm),parent(t121:2)],[f_1_4]) ).
cnf(t124,plain,
$false,
inference(connection,[status(thm),parent(t123:1)],[t123:1,t121:2]) ).
cnf(t125,plain,
grain(sK6),
inference(extension,[status(thm),parent(t121:3)],[f_11_4]) ).
cnf(t126,plain,
$false,
inference(connection,[status(thm),parent(t125:1)],[t125:1,t121:3]) ).
cnf(t127,plain,
plant(sK6),
inference(lemma_extension,[status(thm),parent(t94:8)],[l52:1]) ).
cnf(t128,plain,
$false,
inference(connection,[status(thm),parent(t127:1)],[t127:1,t94:8]) ).
cnf(t129,plain,
( ~ grain(sK6)
| plant(sK6) ),
inference(extension,[status(thm),parent(t42:8)],[f_12_3]) ).
cnf(t130,plain,
$false,
inference(connection,[status(thm),parent(t129:1)],[t129:1,t42:8]) ).
cnf(t131,plain,
grain(sK6),
inference(lemma_extension,[status(thm),parent(t129:2)],[l20:1]) ).
cnf(t132,plain,
$false,
inference(connection,[status(thm),parent(t131:1)],[t131:1,t129:2]) ).
cnf(t133,plain,
( ~ bird(sK3)
| animal(sK3) ),
inference(extension,[status(thm),parent(t1:5)],[f_8_3]) ).
cnf(t134,plain,
$false,
inference(connection,[status(thm),parent(t133:1)],[t133:1,t1:5]) ).
cnf(t135,plain,
bird(sK3),
inference(extension,[status(thm),parent(t133:2)],[f_3_4]) ).
cnf(t136,plain,
$false,
inference(connection,[status(thm),parent(t135:1)],[t135:1,t133:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n008.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sat Sep 19 19:58:16 UTC 2026
% 0.12/5.39 % CPUTime :
% 3.95/9.24 % SZS status Theorem for theBenchmark
% 3.95/9.24 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------