%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n013.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 08:54:23 AM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(thm100,conjecture,
( ( ! [V1] :
( p(north,south,north,north,V1)
=> p(south,south,north,south,take_cabbage(V1)) )
& ! [U1] :
( p(south,south,north,south,U1)
=> p(north,south,north,north,take_cabbage(U1)) )
& ! [T9] :
( p(north,north,south,north,T9)
=> p(south,north,south,south,take_cabbage(T9)) )
& ! [T8] :
( p(south,north,south,south,T8)
=> p(north,north,south,north,take_cabbage(T8)) )
& ! [X1,Y1,V] :
( p(north,X1,north,Y1,V)
=> p(south,X1,south,Y1,take_goat(V)) )
& ! [X,Y,U] :
( p(south,X,south,Y,U)
=> p(north,X,north,Y,take_goat(U)) )
& ! [T7] :
( p(north,north,north,south,T7)
=> p(south,south,north,south,take_wolf(T7)) )
& ! [T6] :
( p(south,south,north,south,T6)
=> p(north,north,north,south,take_wolf(T6)) )
& ! [T5] :
( p(north,north,south,north,T5)
=> p(south,south,south,north,take_wolf(T5)) )
& ! [T4] :
( p(south,south,south,north,T4)
=> p(north,north,south,north,take_wolf(T4)) )
& ! [T3] :
( p(north,south,north,south,T3)
=> p(south,south,north,south,go_alone(T3)) )
& ! [T2] :
( p(south,south,north,south,T2)
=> p(north,south,north,south,go_alone(T2)) )
& ! [T1] :
( p(north,north,south,north,T1)
=> p(south,north,south,north,go_alone(T1)) )
& ! [T] :
( p(south,north,south,north,T)
=> p(north,north,south,north,go_alone(T)) )
& p(south,south,south,south,start) )
=> ? [Z] : p(north,north,north,north,Z) ),
file('theBenchmark.p',thm100) ).
fof(f_1_1,negated_conjecture,
( ~ ? [Z] : p(north,north,north,north,Z)
& ! [V1] :
( p(north,south,north,north,V1)
=> p(south,south,north,south,take_cabbage(V1)) )
& ! [U1] :
( p(south,south,north,south,U1)
=> p(north,south,north,north,take_cabbage(U1)) )
& ! [T9] :
( p(north,north,south,north,T9)
=> p(south,north,south,south,take_cabbage(T9)) )
& ! [T8] :
( p(south,north,south,south,T8)
=> p(north,north,south,north,take_cabbage(T8)) )
& ! [X1,Y1,V] :
( p(north,X1,north,Y1,V)
=> p(south,X1,south,Y1,take_goat(V)) )
& ! [X,Y,U] :
( p(south,X,south,Y,U)
=> p(north,X,north,Y,take_goat(U)) )
& ! [T7] :
( p(north,north,north,south,T7)
=> p(south,south,north,south,take_wolf(T7)) )
& ! [T6] :
( p(south,south,north,south,T6)
=> p(north,north,north,south,take_wolf(T6)) )
& ! [T5] :
( p(north,north,south,north,T5)
=> p(south,south,south,north,take_wolf(T5)) )
& ! [T4] :
( p(south,south,south,north,T4)
=> p(north,north,south,north,take_wolf(T4)) )
& ! [T3] :
( p(north,south,north,south,T3)
=> p(south,south,north,south,go_alone(T3)) )
& ! [T2] :
( p(south,south,north,south,T2)
=> p(north,south,north,south,go_alone(T2)) )
& ! [T1] :
( p(north,north,south,north,T1)
=> p(south,north,south,north,go_alone(T1)) )
& ! [T] :
( p(south,north,south,north,T)
=> p(north,north,south,north,go_alone(T)) )
& p(south,south,south,south,start) ),
inference(negate,[status(cth)],[thm100]) ).
fof(f_1_2,negated_conjecture,
( ! [Z] : ~ p(north,north,north,north,Z)
& ! [V1] :
( p(south,south,north,south,take_cabbage(V1))
| ~ p(north,south,north,north,V1) )
& ! [U1] :
( p(north,south,north,north,take_cabbage(U1))
| ~ p(south,south,north,south,U1) )
& ! [T9] :
( p(south,north,south,south,take_cabbage(T9))
| ~ p(north,north,south,north,T9) )
& ! [T8] :
( p(north,north,south,north,take_cabbage(T8))
| ~ p(south,north,south,south,T8) )
& ! [X1,Y1,V] :
( p(south,X1,south,Y1,take_goat(V))
| ~ p(north,X1,north,Y1,V) )
& ! [X,Y,U] :
( p(north,X,north,Y,take_goat(U))
| ~ p(south,X,south,Y,U) )
& ! [T7] :
( p(south,south,north,south,take_wolf(T7))
| ~ p(north,north,north,south,T7) )
& ! [T6] :
( p(north,north,north,south,take_wolf(T6))
| ~ p(south,south,north,south,T6) )
& ! [T5] :
( p(south,south,south,north,take_wolf(T5))
| ~ p(north,north,south,north,T5) )
& ! [T4] :
( p(north,north,south,north,take_wolf(T4))
| ~ p(south,south,south,north,T4) )
& ! [T3] :
( p(south,south,north,south,go_alone(T3))
| ~ p(north,south,north,south,T3) )
& ! [T2] :
( p(north,south,north,south,go_alone(T2))
| ~ p(south,south,north,south,T2) )
& ! [T1] :
( p(south,north,south,north,go_alone(T1))
| ~ p(north,north,south,north,T1) )
& ! [T] :
( p(north,north,south,north,go_alone(T))
| ~ p(south,north,south,north,T) )
& p(south,south,south,south,start) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
( ! [U_18] : ~ p(north,north,north,north,U_18)
& ! [U_17] :
( p(south,south,north,south,take_cabbage(U_17))
| ~ p(north,south,north,north,U_17) )
& ! [U_16] :
( p(north,south,north,north,take_cabbage(U_16))
| ~ p(south,south,north,south,U_16) )
& ! [U_15] :
( p(south,north,south,south,take_cabbage(U_15))
| ~ p(north,north,south,north,U_15) )
& ! [U_14] :
( p(north,north,south,north,take_cabbage(U_14))
| ~ p(south,north,south,south,U_14) )
& ! [U_13,U_12,U_11] :
( p(south,U_13,south,U_12,take_goat(U_11))
| ~ p(north,U_13,north,U_12,U_11) )
& ! [U_10,U_9,U_8] :
( p(north,U_10,north,U_9,take_goat(U_8))
| ~ p(south,U_10,south,U_9,U_8) )
& ! [U_7] :
( p(south,south,north,south,take_wolf(U_7))
| ~ p(north,north,north,south,U_7) )
& ! [U_6] :
( p(north,north,north,south,take_wolf(U_6))
| ~ p(south,south,north,south,U_6) )
& ! [U_5] :
( p(south,south,south,north,take_wolf(U_5))
| ~ p(north,north,south,north,U_5) )
& ! [U_4] :
( p(north,north,south,north,take_wolf(U_4))
| ~ p(south,south,south,north,U_4) )
& ! [U_3] :
( p(south,south,north,south,go_alone(U_3))
| ~ p(north,south,north,south,U_3) )
& ! [U_2] :
( p(north,south,north,south,go_alone(U_2))
| ~ p(south,south,north,south,U_2) )
& ! [U_1] :
( p(south,north,south,north,go_alone(U_1))
| ~ p(north,north,south,north,U_1) )
& ! [U_0] :
( p(north,north,south,north,go_alone(U_0))
| ~ p(south,north,south,north,U_0) )
& p(south,south,south,south,start) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ! [U_18] : ~ p(north,north,north,north,U_18)
& ! [U_17] :
( p(south,south,north,south,take_cabbage(U_17))
| ~ p(north,south,north,north,U_17) )
& ! [U_16] :
( p(north,south,north,north,take_cabbage(U_16))
| ~ p(south,south,north,south,U_16) )
& ! [U_15] :
( p(south,north,south,south,take_cabbage(U_15))
| ~ p(north,north,south,north,U_15) )
& ! [U_14] :
( p(north,north,south,north,take_cabbage(U_14))
| ~ p(south,north,south,south,U_14) )
& ! [U_11,U_12,U_13] :
( p(south,U_13,south,U_12,take_goat(U_11))
| ~ p(north,U_13,north,U_12,U_11) )
& ! [U_10,U_9,U_8] :
( p(north,U_10,north,U_9,take_goat(U_8))
| ~ p(south,U_10,south,U_9,U_8) )
& ! [U_7] :
( p(south,south,north,south,take_wolf(U_7))
| ~ p(north,north,north,south,U_7) )
& ! [U_6] :
( p(north,north,north,south,take_wolf(U_6))
| ~ p(south,south,north,south,U_6) )
& ! [U_5] :
( p(south,south,south,north,take_wolf(U_5))
| ~ p(north,north,south,north,U_5) )
& ! [U_4] :
( p(north,north,south,north,take_wolf(U_4))
| ~ p(south,south,south,north,U_4) )
& ! [U_3] :
( p(south,south,north,south,go_alone(U_3))
| ~ p(north,south,north,south,U_3) )
& ! [U_2] :
( p(north,south,north,south,go_alone(U_2))
| ~ p(south,south,north,south,U_2) )
& ! [U_1] :
( p(south,north,south,north,go_alone(U_1))
| ~ p(north,north,south,north,U_1) )
& ! [U_0] :
( p(north,north,south,north,go_alone(U_0))
| ~ p(south,north,south,north,U_0) )
& p(south,south,south,south,start) ),
inference(definitional_conversion,[status(esa)],[f_1_3]) ).
cnf(f_1_5,negated_conjecture,
p(south,south,south,south,start),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_6,negated_conjecture,
( p(north,north,south,north,go_alone(U_0))
| ~ p(south,north,south,north,U_0) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_7,negated_conjecture,
( p(south,north,south,north,go_alone(U_1))
| ~ p(north,north,south,north,U_1) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_8,negated_conjecture,
( p(north,south,north,south,go_alone(U_2))
| ~ p(south,south,north,south,U_2) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_9,negated_conjecture,
( p(south,south,north,south,go_alone(U_3))
| ~ p(north,south,north,south,U_3) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_10,negated_conjecture,
( p(north,north,south,north,take_wolf(U_4))
| ~ p(south,south,south,north,U_4) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_11,negated_conjecture,
( p(south,south,south,north,take_wolf(U_5))
| ~ p(north,north,south,north,U_5) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_12,negated_conjecture,
( p(north,north,north,south,take_wolf(U_6))
| ~ p(south,south,north,south,U_6) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_13,negated_conjecture,
( p(south,south,north,south,take_wolf(U_7))
| ~ p(north,north,north,south,U_7) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_14,negated_conjecture,
( p(north,U_10,north,U_9,take_goat(U_8))
| ~ p(south,U_10,south,U_9,U_8) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_15,negated_conjecture,
( p(south,U_13,south,U_12,take_goat(U_11))
| ~ p(north,U_13,north,U_12,U_11) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_16,negated_conjecture,
( p(north,north,south,north,take_cabbage(U_14))
| ~ p(south,north,south,south,U_14) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_17,negated_conjecture,
( p(south,north,south,south,take_cabbage(U_15))
| ~ p(north,north,south,north,U_15) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_18,negated_conjecture,
( p(north,south,north,north,take_cabbage(U_16))
| ~ p(south,south,north,south,U_16) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_19,negated_conjecture,
( p(south,south,north,south,take_cabbage(U_17))
| ~ p(north,south,north,north,U_17) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_20,negated_conjecture,
~ p(north,north,north,north,U_18),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 19:57:50 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.14/0.44 % SZS status Theorem for theBenchmark
% 0.14/0.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------