%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:21:43 AM UTC 2026
% Result : Unsatisfiable 10.49s 1.73s
% Output : CNFRefutation 10.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 11 unt; 9 nHn; 27 RR)
% Number of literals : 63 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(label_is_wrong,axiom,
( ~ contains(X0,X1)
| ~ label(X0,X1) ) ).
cnf(each_thing_is_in_a_box,axiom,
( contains(boxc,X0)
| contains(boxb,X0)
| contains(boxa,X0) ) ).
cnf(each_box_contains_something,axiom,
( contains(X0,oranges)
| contains(X0,bananas)
| contains(X0,apples) ) ).
cnf(contains_is_well_defined1,axiom,
( 'equal$ufruits'(X1,X2)
| ~ contains(X0,X2)
| ~ contains(X0,X1) ) ).
cnf(contains_is_well_defined2,axiom,
( 'equal$uboxes'(X0,X2)
| ~ contains(X2,X1)
| ~ contains(X0,X1) ) ).
cnf(boxb_not_boxc,axiom,
~ 'equal$uboxes'(boxb,boxc) ).
cnf(apples_not_bananas,axiom,
~ 'equal$ufruits'(apples,bananas) ).
cnf(boxc_labelled_bananas,hypothesis,
label(boxc,bananas) ).
cnf(boxb_contains_apples,hypothesis,
contains(boxb,apples) ).
cnf(prove_boxa_contains_bananas_and_boxc_oranges,negated_conjecture,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ) ).
cnf(c2,plain,
( ~ contains(X0,X1)
| ~ label(X0,X1) ),
inference(clausification,[status(esa)],[label_is_wrong]) ).
cnf(c3,plain,
( contains(boxc,X0)
| contains(boxb,X0)
| contains(boxa,X0) ),
inference(clausification,[status(esa)],[each_thing_is_in_a_box]) ).
cnf(c4,plain,
( contains(X0,oranges)
| contains(X0,bananas)
| contains(X0,apples) ),
inference(clausification,[status(esa)],[each_box_contains_something]) ).
cnf(c5,plain,
( 'equal$ufruits'(X1,X2)
| ~ contains(X0,X2)
| ~ contains(X0,X1) ),
inference(clausification,[status(esa)],[contains_is_well_defined1]) ).
cnf(c6,plain,
( 'equal$uboxes'(X0,X2)
| ~ contains(X2,X1)
| ~ contains(X0,X1) ),
inference(clausification,[status(esa)],[contains_is_well_defined2]) ).
cnf(c8,plain,
~ 'equal$uboxes'(boxb,boxc),
inference(clausification,[status(esa)],[boxb_not_boxc]) ).
cnf(c10,plain,
~ 'equal$ufruits'(apples,bananas),
inference(clausification,[status(esa)],[apples_not_bananas]) ).
cnf(c15,plain,
label(boxc,bananas),
inference(clausification,[status(esa)],[boxc_labelled_bananas]) ).
cnf(c16,plain,
contains(boxb,apples),
inference(clausification,[status(esa)],[boxb_contains_apples]) ).
cnf(c17,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(clausification,[status(esa)],[prove_boxa_contains_bananas_and_boxc_oranges]) ).
cnf(d0,plain,
( ~ label(X0,bananas)
| contains(X0,oranges)
| contains(X0,apples) ),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
( contains(boxc,oranges)
| contains(boxc,apples) ),
inference(resolution,[status(thm)],[d0,c15]) ).
cnf(d2,plain,
( ~ contains(boxb,X0)
| 'equal$ufruits'(apples,X0) ),
inference(resolution,[status(thm)],[c16,c5]) ).
cnf(d3,plain,
( contains(boxa,X0)
| contains(boxc,X0)
| 'equal$ufruits'(apples,X0) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
( contains(boxa,bananas)
| contains(boxc,bananas) ),
inference(resolution,[status(thm)],[d3,c10]) ).
cnf(d5,plain,
( ~ contains(boxc,oranges)
| contains(boxc,bananas) ),
inference(resolution,[status(thm)],[d4,c17]) ).
cnf(d6,plain,
( contains(boxc,apples)
| contains(boxc,bananas) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( ~ label(boxc,bananas)
| contains(boxc,apples) ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
contains(boxc,apples),
inference(resolution,[status(thm)],[c15,d7]) ).
cnf(d9,plain,
( ~ contains(X0,apples)
| 'equal$uboxes'(X0,boxc) ),
inference(resolution,[status(thm)],[d8,c6]) ).
cnf(d10,plain,
'equal$uboxes'(boxb,boxc),
inference(resolution,[status(thm)],[d9,c16]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c8,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ012-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 05:01:39 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.49/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 10.49/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------