%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 1.39s 16.52s
% Output : Proof 1.39s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(pel47_1_1,axiom,
! [X] :
( wolf(X)
=> animal(X) ),
file('theBenchmark.p',pel47_1_1) ).
fof(pel47_1_2,axiom,
? [X1] : wolf(X1),
file('theBenchmark.p',pel47_1_2) ).
fof(pel47_2_1,axiom,
! [X] :
( fox(X)
=> animal(X) ),
file('theBenchmark.p',pel47_2_1) ).
fof(pel47_2_2,axiom,
? [X1] : fox(X1),
file('theBenchmark.p',pel47_2_2) ).
fof(pel47_3_1,axiom,
! [X] :
( bird(X)
=> animal(X) ),
file('theBenchmark.p',pel47_3_1) ).
fof(pel47_3_2,axiom,
? [X1] : bird(X1),
file('theBenchmark.p',pel47_3_2) ).
fof(pel47_4_1,axiom,
! [X] :
( caterpillar(X)
=> animal(X) ),
file('theBenchmark.p',pel47_4_1) ).
fof(pel47_4_2,axiom,
? [X1] : caterpillar(X1),
file('theBenchmark.p',pel47_4_2) ).
fof(pel47_5_1,axiom,
! [X] :
( snail(X)
=> animal(X) ),
file('theBenchmark.p',pel47_5_1) ).
fof(pel47_5_2,axiom,
? [X1] : snail(X1),
file('theBenchmark.p',pel47_5_2) ).
fof(pel47_6_1,axiom,
? [X] : grain(X),
file('theBenchmark.p',pel47_6_1) ).
fof(pel47_6_2,axiom,
! [X1] :
( grain(X1)
=> plant(X1) ),
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,
! [X,Y] :
( ( ( caterpillar(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_11,axiom,
! [X,Y] :
( ( ( grain(Y)
| fox(Y) )
& wolf(X) )
=> ~ eats(X,Y) ),
file('theBenchmark.p',pel47_11) ).
fof(pel47_12,axiom,
! [X,Y] :
( ( caterpillar(Y)
& bird(X) )
=> eats(X,Y) ),
file('theBenchmark.p',pel47_12) ).
fof(pel47_13,axiom,
! [X,Y] :
( ( snail(Y)
& bird(X) )
=> ~ eats(X,Y) ),
file('theBenchmark.p',pel47_13) ).
fof(pel47_14,axiom,
! [X] :
( ( snail(X)
| caterpillar(X) )
=> ? [Y] :
( eats(X,Y)
& plant(Y) ) ),
file('theBenchmark.p',pel47_14) ).
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,
! [X] :
( animal(X)
| ~ wolf(X) ),
inference(fof_nnf,[status(thm)],[pel47_1_1]) ).
fof(f_1_2,plain,
! [U_0] :
( animal(U_0)
| ~ wolf(U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( animal(U_0)
| ~ wolf(U_0) ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
? [X1] : wolf(X1),
inference(fof_nnf,[status(thm)],[pel47_1_2]) ).
fof(f_2_2,plain,
? [U_1] : wolf(U_1),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
wolf(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_1,sK1)],[f_2_2]) ).
cnf(f_2_4,plain,
wolf(sK1),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [X] :
( animal(X)
| ~ fox(X) ),
inference(fof_nnf,[status(thm)],[pel47_2_1]) ).
fof(f_3_2,plain,
! [U_2] :
( animal(U_2)
| ~ fox(U_2) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( animal(U_2)
| ~ fox(U_2) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
? [X1] : fox(X1),
inference(fof_nnf,[status(thm)],[pel47_2_2]) ).
fof(f_4_2,plain,
? [U_3] : fox(U_3),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
fox(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_3,sK2)],[f_4_2]) ).
cnf(f_4_4,plain,
fox(sK2),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X] :
( animal(X)
| ~ bird(X) ),
inference(fof_nnf,[status(thm)],[pel47_3_1]) ).
fof(f_5_2,plain,
! [U_4] :
( animal(U_4)
| ~ bird(U_4) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( animal(U_4)
| ~ bird(U_4) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
? [X1] : bird(X1),
inference(fof_nnf,[status(thm)],[pel47_3_2]) ).
fof(f_6_2,plain,
? [U_5] : bird(U_5),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
bird(sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_5,sK3)],[f_6_2]) ).
cnf(f_6_4,plain,
bird(sK3),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [X] :
( animal(X)
| ~ caterpillar(X) ),
inference(fof_nnf,[status(thm)],[pel47_4_1]) ).
fof(f_7_2,plain,
! [U_6] :
( animal(U_6)
| ~ caterpillar(U_6) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( animal(U_6)
| ~ caterpillar(U_6) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
? [X1] : caterpillar(X1),
inference(fof_nnf,[status(thm)],[pel47_4_2]) ).
fof(f_8_2,plain,
? [U_7] : caterpillar(U_7),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
caterpillar(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_7,sK4)],[f_8_2]) ).
cnf(f_8_4,plain,
caterpillar(sK4),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_1,plain,
! [X] :
( animal(X)
| ~ snail(X) ),
inference(fof_nnf,[status(thm)],[pel47_5_1]) ).
fof(f_9_2,plain,
! [U_8] :
( animal(U_8)
| ~ snail(U_8) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( animal(U_8)
| ~ snail(U_8) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
? [X1] : snail(X1),
inference(fof_nnf,[status(thm)],[pel47_5_2]) ).
fof(f_10_2,plain,
? [U_9] : snail(U_9),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
snail(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_9,sK5)],[f_10_2]) ).
cnf(f_10_4,plain,
snail(sK5),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
? [X] : grain(X),
inference(fof_nnf,[status(thm)],[pel47_6_1]) ).
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,
! [X1] :
( plant(X1)
| ~ grain(X1) ),
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,
! [X,Y] :
( much_smaller(X,Y)
| ( ~ caterpillar(X)
& ~ snail(X) )
| ~ bird(Y) ),
inference(fof_nnf,[status(thm)],[pel47_8]) ).
fof(f_14_2,plain,
! [U_17,U_16] :
( much_smaller(U_17,U_16)
| ( ~ caterpillar(U_17)
& ~ snail(U_17) )
| ~ bird(U_16) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( ~ snail(U_17)
| ~ bird(U_16)
| much_smaller(U_17,U_16) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( ~ caterpillar(U_17)
| ~ bird(U_16)
| much_smaller(U_17,U_16) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ fox(Y)
| ~ bird(X) ),
inference(fof_nnf,[status(thm)],[pel47_9]) ).
fof(f_15_2,plain,
! [U_19,U_18] :
( much_smaller(U_19,U_18)
| ~ fox(U_18)
| ~ bird(U_19) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( much_smaller(U_19,U_18)
| ~ fox(U_18)
| ~ bird(U_19) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
! [X,Y] :
( much_smaller(X,Y)
| ~ wolf(Y)
| ~ fox(X) ),
inference(fof_nnf,[status(thm)],[pel47_10]) ).
fof(f_16_2,plain,
! [U_21,U_20] :
( much_smaller(U_21,U_20)
| ~ wolf(U_20)
| ~ fox(U_21) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( much_smaller(U_21,U_20)
| ~ wolf(U_20)
| ~ fox(U_21) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [X,Y] :
( ~ eats(X,Y)
| ( ~ grain(Y)
& ~ fox(Y) )
| ~ wolf(X) ),
inference(fof_nnf,[status(thm)],[pel47_11]) ).
fof(f_17_2,plain,
! [U_23,U_22] :
( ~ eats(U_23,U_22)
| ( ~ grain(U_22)
& ~ fox(U_22) )
| ~ wolf(U_23) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( ~ fox(U_22)
| ~ wolf(U_23)
| ~ eats(U_23,U_22) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( ~ grain(U_22)
| ~ wolf(U_23)
| ~ eats(U_23,U_22) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [X,Y] :
( eats(X,Y)
| ~ caterpillar(Y)
| ~ bird(X) ),
inference(fof_nnf,[status(thm)],[pel47_12]) ).
fof(f_18_2,plain,
! [U_25,U_24] :
( eats(U_25,U_24)
| ~ caterpillar(U_24)
| ~ bird(U_25) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( eats(U_25,U_24)
| ~ caterpillar(U_24)
| ~ bird(U_25) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
! [X,Y] :
( ~ eats(X,Y)
| ~ snail(Y)
| ~ bird(X) ),
inference(fof_nnf,[status(thm)],[pel47_13]) ).
fof(f_19_2,plain,
! [U_27,U_26] :
( ~ eats(U_27,U_26)
| ~ snail(U_26)
| ~ bird(U_27) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( ~ eats(U_27,U_26)
| ~ snail(U_26)
| ~ bird(U_27) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
! [X] :
( ? [Y] :
( eats(X,Y)
& plant(Y) )
| ( ~ snail(X)
& ~ caterpillar(X) ) ),
inference(fof_nnf,[status(thm)],[pel47_14]) ).
fof(f_20_2,plain,
! [U_29] :
( ? [U_28] :
( eats(U_29,U_28)
& plant(U_28) )
| ( ~ snail(U_29)
& ~ caterpillar(U_29) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_29] :
( ( eats(U_29,sK7(U_29))
& plant(sK7(U_29)) )
| ( ~ snail(U_29)
& ~ caterpillar(U_29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_28,sK7(U_29))],[f_20_2]) ).
cnf(f_20_4,plain,
( plant(sK7(U_29))
| ~ caterpillar(U_29) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_5,plain,
( eats(U_29,sK7(U_29))
| ~ caterpillar(U_29) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_6,plain,
( plant(sK7(U_29))
| ~ snail(U_29) ),
inference(clausify,[status(thm)],[f_20_3]) ).
cnf(f_20_7,plain,
( eats(U_29,sK7(U_29))
| ~ snail(U_29) ),
inference(clausify,[status(thm)],[f_20_3]) ).
fof(f_21_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_21_2,negated_conjecture,
! [X,Y] :
( ! [Z] :
( ~ eats(X,Y)
| ~ eats(Y,Z)
| ~ grain(Z) )
| ~ animal(Y)
| ~ animal(X) ),
inference(fof_nnf,[status(thm)],[f_21_1]) ).
fof(f_21_3,negated_conjecture,
! [U_32,U_31] :
( ! [U_30] :
( ~ eats(U_32,U_31)
| ~ eats(U_31,U_30)
| ~ grain(U_30) )
| ~ animal(U_31)
| ~ animal(U_32) ),
inference(variable_rename,[status(thm)],[f_21_2]) ).
fof(f_21_4,negated_conjecture,
! [U_32] :
( ! [U_31] :
( ! [U_30] :
( ~ eats(U_31,U_30)
| ~ grain(U_30) )
| ~ eats(U_32,U_31)
| ~ animal(U_31) )
| ~ animal(U_32) ),
inference(miniscope,[status(thm)],[f_21_3]) ).
fof(f_21_5,negated_conjecture,
! [U_31,U_30,U_32] :
( ~ eats(U_31,U_30)
| ~ grain(U_30)
| ~ eats(U_32,U_31)
| ~ animal(U_31)
| ~ animal(U_32) ),
inference(definitional_conversion,[status(esa)],[f_21_4]) ).
cnf(f_21_6,negated_conjecture,
( ~ eats(U_31,U_30)
| ~ grain(U_30)
| ~ eats(U_32,U_31)
| ~ animal(U_31)
| ~ animal(U_32) ),
inference(clausify,[status(thm)],[f_21_5]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/15.41 % CPULimit : 300
% 0.07/15.41 % WCLimit : 300
% 0.07/15.41 % DateTime : Sat Sep 19 19:58:06 UTC 2026
% 0.07/15.41 % CPUTime :
% 1.39/16.52 % SZS status Theorem for theBenchmark
% 1.39/16.52 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------