%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 08:20:03 AM UTC 2026
% Result : Unsatisfiable 10.10s 8.10s
% Output : CNFRefutation 10.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 16 unt; 0 nHn; 30 RR)
% Number of literals : 64 ( 0 equ; 47 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 62 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(drive1,axiom,
( at(X4,X1,s(s(X2)),drive(X4,X3))
| ~ 'next$uto'(X0,X4)
| ~ at(X0,X1,X2,X3) ) ).
cnf(buy_in_city,axiom,
( at(X0,s(X1),s(X2),buy(X3))
| ~ at(X0,X1,X2,X3) ) ).
cnf(map6,hypothesis,
'next$uto'(cheyenne,northPlatte) ).
cnf(map7,hypothesis,
'next$uto'(northPlatte,grandIsland) ).
cnf(map8,hypothesis,
'next$uto'(grandIsland,lincoln) ).
cnf(map9,hypothesis,
'next$uto'(lincoln,omaha) ).
cnf(map10,hypothesis,
'next$uto'(omaha,desMoines) ).
cnf(initial,hypothesis,
at(cheyenne,none,start,'initial$usituation') ).
cnf(prove_you_gat_get_there_with_bread,negated_conjecture,
~ at(desMoines,s(none),X0,X1) ).
cnf(c0,plain,
( at(X4,X1,s(s(X2)),drive(X4,X3))
| ~ 'next$uto'(X0,X4)
| ~ at(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[drive1]) ).
cnf(c3,plain,
( at(X0,s(X1),s(X2),buy(X3))
| ~ at(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[buy_in_city]) ).
cnf(c9,plain,
'next$uto'(cheyenne,northPlatte),
inference(clausification,[status(esa)],[map6]) ).
cnf(c10,plain,
'next$uto'(northPlatte,grandIsland),
inference(clausification,[status(esa)],[map7]) ).
cnf(c11,plain,
'next$uto'(grandIsland,lincoln),
inference(clausification,[status(esa)],[map8]) ).
cnf(c12,plain,
'next$uto'(lincoln,omaha),
inference(clausification,[status(esa)],[map9]) ).
cnf(c13,plain,
'next$uto'(omaha,desMoines),
inference(clausification,[status(esa)],[map10]) ).
cnf(c14,plain,
at(cheyenne,none,start,'initial$usituation'),
inference(clausification,[status(esa)],[initial]) ).
cnf(c15,plain,
~ at(desMoines,s(none),X0,X1),
inference(clausification,[status(esa)],[prove_you_gat_get_there_with_bread]) ).
cnf(d0,plain,
( ~ 'next$uto'(X0,desMoines)
| ~ at(X0,s(none),X1,X2) ),
inference(resolution,[status(thm)],[c15,c0]) ).
cnf(d1,plain,
( ~ 'next$uto'(X1,X0)
| ~ at(X1,s(none),X2,X3)
| ~ 'next$uto'(X0,desMoines) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
( ~ 'next$uto'(X2,X0)
| ~ at(X2,s(none),X3,X4)
| ~ 'next$uto'(X1,desMoines)
| ~ 'next$uto'(X0,X1) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ at(X0,none,X3,X4)
| ~ 'next$uto'(X1,X2)
| ~ 'next$uto'(X2,desMoines)
| ~ 'next$uto'(X0,X1) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( ~ 'next$uto'(X3,X2)
| ~ at(X3,none,X4,X5)
| ~ 'next$uto'(X2,X1)
| ~ 'next$uto'(X1,X0)
| ~ 'next$uto'(X0,desMoines) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( ~ 'next$uto'(X4,X0)
| ~ at(X4,none,X5,X6)
| ~ 'next$uto'(X3,desMoines)
| ~ 'next$uto'(X2,X3)
| ~ 'next$uto'(X1,X2)
| ~ 'next$uto'(X0,X1) ),
inference(resolution,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
( ~ 'next$uto'(X0,X3)
| ~ 'next$uto'(X3,X2)
| ~ 'next$uto'(X2,X1)
| ~ 'next$uto'(X1,desMoines)
| ~ 'next$uto'(cheyenne,X0) ),
inference(resolution,[status(thm)],[d5,c14]) ).
cnf(d7,plain,
( ~ 'next$uto'(northPlatte,X0)
| ~ 'next$uto'(X2,desMoines)
| ~ 'next$uto'(X1,X2)
| ~ 'next$uto'(X0,X1) ),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
( ~ 'next$uto'(grandIsland,X1)
| ~ 'next$uto'(X1,X0)
| ~ 'next$uto'(X0,desMoines) ),
inference(resolution,[status(thm)],[d7,c10]) ).
cnf(d9,plain,
( ~ 'next$uto'(X0,desMoines)
| ~ 'next$uto'(lincoln,X0) ),
inference(resolution,[status(thm)],[d8,c11]) ).
cnf(d10,plain,
~ 'next$uto'(omaha,desMoines),
inference(resolution,[status(thm)],[d9,c12]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c13,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.58 % Computer : n016.cluster.edu
% 0.10/5.58 % Model : x86_64 x86_64
% 0.10/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58 % Memory : 8046.5625MB
% 0.10/5.58 % OS : Linux 6.8.0-71-generic
% 0.10/5.58 % CPULimit : 300
% 0.10/5.58 % WCLimit : 300
% 0.10/5.58 % DateTime : Sat Sep 26 04:47:06 UTC 2026
% 0.10/5.58 % CPUTime :
% 0.10/5.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.10/8.10 % SZS status Unsatisfiable for theBenchmark.p
% 10.10/8.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------