%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 : Sun Sep 27 08:23:13 AM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 76 ( 12 ~; 6 |; 28 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 53 ( 5 sgn 36 !; 2 ?)
% 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(thm100_neg,negated_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) ),
inference(assume_negation,[status(cth)],[thm100]) ).
cnf(c_2,negated_conjecture,
p(south,south,south,south,start),
inference(clausify,[status(thm)],[thm100_neg]) ).
cnf(c_4,negated_conjecture,
( p(south,north,south,north,go_alone(A))
| ~ p(north,north,south,north,A) ),
inference(clausify,[status(thm)],[thm100_neg]) ).
cnf(c_6,negated_conjecture,
( p(south,south,north,south,go_alone(A))
| ~ p(north,south,north,south,A) ),
inference(clausify,[status(thm)],[thm100_neg]) ).
cnf(c_7,negated_conjecture,
( p(north,north,south,north,take_wolf(A))
| ~ p(south,south,south,north,A) ),
inference(clausify,[status(thm)],[thm100_neg]) ).
cnf(c_11,negated_conjecture,
( p(north,A,north,B,take_goat(C))
| ~ p(south,A,south,B,C) ),
inference(clausify,[status(thm)],[thm100_neg]) ).
cnf(c_12,negated_conjecture,
( p(south,A,south,B,take_goat(C))
| ~ p(north,A,north,B,C) ),
inference(clausify,[status(thm)],[thm100_neg]) ).
cnf(c_15,negated_conjecture,
( p(north,south,north,north,take_cabbage(A))
| ~ p(south,south,north,south,A) ),
inference(clausify,[status(thm)],[thm100_neg]) ).
cnf(c_17,negated_conjecture,
~ p(north,north,north,north,A),
inference(clausify,[status(thm)],[thm100_neg]) ).
cnf(c_18,negated_conjecture,
p(north,south,north,south,take_goat(start)),
inference(resolve,[status(thm)],[c_11,c_2]) ).
cnf(c_19,plain,
~ p(south,north,south,north,A),
inference(resolve,[status(thm)],[c_17,c_11]) ).
cnf(c_21,negated_conjecture,
p(south,south,north,south,go_alone(take_goat(start))),
inference(resolve,[status(thm)],[c_6,c_18]) ).
cnf(c_22,plain,
~ p(north,north,south,north,A),
inference(resolve,[status(thm)],[c_19,c_4]) ).
cnf(c_24,plain,
~ p(south,south,south,north,A),
inference(resolve,[status(thm)],[c_22,c_7]) ).
cnf(c_26,plain,
~ p(north,south,north,north,A),
inference(resolve,[status(thm)],[c_24,c_12]) ).
cnf(c_28,negated_conjecture,
p(north,south,north,north,take_cabbage(go_alone(take_goat(start)))),
inference(resolve,[status(thm)],[c_15,c_21]) ).
cnf(c_29,plain,
$false,
inference(resolve,[status(thm)],[c_28,c_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n002.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 26 05:10:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 887672 was started by sandbox on n002,
% 0.09/0.37 % Sat Sep 26 05:10:20 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 0.09/0.39
% 0.09/0.39 % SZS status Theorem for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 17.
% 0.09/0.39 % Level of proof is 6.
% 0.09/0.39 % Maximum clause weight is 13.000.
% 0.09/0.39 % Given clauses 23.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------