%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 01:59:58 PM UTC 2026
% Result : Theorem 0.19s 5.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 123 ( 30 ~; 20 |; 43 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 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 : 75 ( 73 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,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(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [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(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
p(south,south,south,south,start),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f6,plain,
! [X0] :
( p(south,north,south,north,go_alone(X0))
| ~ p(north,north,south,north,X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0] :
( p(south,south,north,south,go_alone(X0))
| ~ p(north,south,north,south,X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0] :
( p(north,north,north,south,take_wolf(X0))
| ~ p(south,south,north,south,X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] :
( p(north,X0,north,X1,take_goat(X2))
| ~ p(south,X0,south,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1,X2] :
( p(south,X0,south,X1,take_goat(X2))
| ~ p(north,X0,north,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0] :
( p(north,north,south,north,take_cabbage(X0))
| ~ p(south,north,south,south,X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0] : ~ p(north,north,north,north,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
! [X0] : ~ p(south,north,south,north,X0),
inference(resolution,[status(thm)],[f13,f19]) ).
fof(f22,plain,
! [X0] : ~ p(north,north,south,north,X0),
inference(forward_subsumption_resolution,[status(thm)],[f6,f20]) ).
fof(f26,plain,
! [X0] : ~ p(south,north,south,south,X0),
inference(forward_subsumption_resolution,[status(thm)],[f15,f22]) ).
fof(f27,plain,
! [X0] : ~ p(north,north,north,south,X0),
inference(resolution,[status(thm)],[f26,f14]) ).
fof(f28,plain,
! [X0] : ~ p(south,south,north,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[f11,f27]) ).
fof(f30,plain,
! [X0] : ~ p(north,south,north,south,X0),
inference(backward_subsumption_resolution,[status(thm)],[f8,f28]) ).
fof(f31,plain,
! [X0] : ~ p(south,south,south,south,X0),
inference(resolution,[status(thm)],[f30,f13]) ).
fof(f33,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.51 % Computer : n001.cluster.edu
% 0.19/5.51 % Model : x86_64 x86_64
% 0.19/5.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.51 % Memory : 8046.5625MB
% 0.19/5.51 % OS : Linux 6.8.0-71-generic
% 0.19/5.51 % CPULimit : 300
% 0.19/5.51 % WCLimit : 300
% 0.19/5.51 % DateTime : Mon Sep 21 03:52:33 UTC 2026
% 0.19/5.51 % CPUTime :
% 0.19/5.52 % Drodi V4.1.1
% 0.19/5.53 % Refutation found
% 0.19/5.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/5.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/5.60 % Elapsed time: 0.082334 seconds
% 0.24/5.60 % CPU time: 0.091312 seconds
% 0.24/5.60 % Total memory used: 1.759 MB
% 0.24/5.60 % Net memory used: 1.756 MB
%------------------------------------------------------------------------------