%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 : Sun Sep 27 08:22:11 AM UTC 2026
% Result : Theorem 10.12s 1.75s
% Output : CNFRefutation 10.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% 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 : 79 ( 15 ~; 6 |; 28 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 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 : 56 ( 8 sgn 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm100,conjecture,
( ( ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,'take$ucabbage'(X17)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,'take$ucabbage'(X16)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,'take$ucabbage'(X15)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,'take$ucabbage'(X14)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,'take$ugoat'(X13)) )
& ! [X8,X9,X10] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,'take$ugoat'(X10)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,'take$uwolf'(X7)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,'take$uwolf'(X6)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,'take$uwolf'(X5)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,'take$uwolf'(X4)) )
& ! [X3] :
( p(north,south,north,south,X3)
=> p(south,south,north,south,'go$ualone'(X3)) )
& ! [X2] :
( p(south,south,north,south,X2)
=> p(north,south,north,south,'go$ualone'(X2)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,'go$ualone'(X1)) )
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,'go$ualone'(X0)) )
& p(south,south,south,south,start) )
=> ? [X18] : p(north,north,north,north,X18) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,'take$ucabbage'(X17)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,'take$ucabbage'(X16)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,'take$ucabbage'(X15)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,'take$ucabbage'(X14)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,'take$ugoat'(X13)) )
& ! [X8,X9,X10] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,'take$ugoat'(X10)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,'take$uwolf'(X7)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,'take$uwolf'(X6)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,'take$uwolf'(X5)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,'take$uwolf'(X4)) )
& ! [X3] :
( p(north,south,north,south,X3)
=> p(south,south,north,south,'go$ualone'(X3)) )
& ! [X2] :
( p(south,south,north,south,X2)
=> p(north,south,north,south,'go$ualone'(X2)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,'go$ualone'(X1)) )
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,'go$ualone'(X0)) )
& p(south,south,south,south,start) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(negate_conjecture,[status(cth)],[thm100]) ).
cnf(c0,plain,
p(south,south,south,south,start),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( p(south,north,south,north,'go$ualone'(X0))
| ~ p(north,north,south,north,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
( p(south,south,north,south,'go$ualone'(X0))
| ~ p(north,south,north,south,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( p(north,north,south,north,'take$uwolf'(X0))
| ~ p(south,south,south,north,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c9,plain,
( p(north,X0,north,X1,'take$ugoat'(X2))
| ~ p(south,X0,south,X1,X2) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c10,plain,
( p(south,X0,south,X1,'take$ugoat'(X2))
| ~ p(north,X0,north,X1,X2) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c13,plain,
( p(north,south,north,north,'take$ucabbage'(X0))
| ~ p(south,south,north,south,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
~ p(north,north,north,north,X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ p(south,north,south,north,X0),
inference(resolution,[status(thm)],[c9,c15]) ).
cnf(d1,plain,
~ p(north,north,south,north,X0),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
~ p(south,south,south,north,X0),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
~ p(north,south,north,north,X0),
inference(resolution,[status(thm)],[d2,c10]) ).
cnf(d4,plain,
~ p(south,south,north,south,X0),
inference(resolution,[status(thm)],[d3,c13]) ).
cnf(d5,plain,
~ p(north,south,north,south,X0),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
~ p(south,south,south,south,X0),
inference(resolution,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 05:07:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.12/1.75 % SZS status Theorem for theBenchmark.p
% 10.12/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------