%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ035-2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 08:22:08 AM UTC 2026
% Result : Unsatisfiable 6.16s 2.96s
% Output : CNFRefutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of clauses : 62 ( 10 unt; 32 nHn; 62 RR)
% Number of literals : 162 ( 0 equ; 70 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 43 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(everyone_a_knight_or_knave,axiom,
( isa(X0,knave)
| isa(X0,knight)
| ~ person(X0) ) ).
cnf(knights_make_true_statements,axiom,
( 'tell$uthe$utruth'(X0)
| ~ isa(X0,knight) ) ).
cnf(knaves_make_false_statements,axiom,
( lies(X0)
| ~ isa(X0,knave) ) ).
cnf(statements_are_true_or_false,axiom,
( ~ lies(X0)
| ~ 'tell$uthe$utruth'(X0) ) ).
cnf(statements_are_true_or_false2,axiom,
( lies(X0)
| 'tell$uthe$utruth'(X0)
| ~ person(X0) ) ).
cnf(lie_one_is_a_knight,axiom,
( ~ lies(asked)
| ~ response(no)
| isa(other,knight)
| isa(asked,knight) ) ).
cnf(knight_answers1,axiom,
( ~ isa(X0,knight)
| ~ lies(asked)
| ~ response(yes) ) ).
cnf(knight_answers3,axiom,
( ~ isa(X0,knight)
| ~ 'tell$uthe$utruth'(asked)
| response(yes) ) ).
cnf(two_answers,axiom,
( response(no)
| response(yes) ) ).
cnf(asked_person,axiom,
person(asked) ).
cnf(other_person,axiom,
person(other) ).
cnf(prove_answer,negated_conjecture,
( ~ isa(other,X2)
| ~ isa(asked,X1)
| ~ response(X0) ) ).
cnf(c0,plain,
( isa(X0,knave)
| isa(X0,knight)
| ~ person(X0) ),
inference(clausification,[status(esa)],[everyone_a_knight_or_knave]) ).
cnf(c2,plain,
( 'tell$uthe$utruth'(X0)
| ~ isa(X0,knight) ),
inference(clausification,[status(esa)],[knights_make_true_statements]) ).
cnf(c3,plain,
( lies(X0)
| ~ isa(X0,knave) ),
inference(clausification,[status(esa)],[knaves_make_false_statements]) ).
cnf(c4,plain,
( ~ lies(X0)
| ~ 'tell$uthe$utruth'(X0) ),
inference(clausification,[status(esa)],[statements_are_true_or_false]) ).
cnf(c5,plain,
( lies(X0)
| 'tell$uthe$utruth'(X0)
| ~ person(X0) ),
inference(clausification,[status(esa)],[statements_are_true_or_false2]) ).
cnf(c7,plain,
( ~ lies(asked)
| ~ response(no)
| isa(other,knight)
| isa(asked,knight) ),
inference(clausification,[status(esa)],[lie_one_is_a_knight]) ).
cnf(c8,plain,
( ~ isa(X0,knight)
| ~ lies(asked)
| ~ response(yes) ),
inference(clausification,[status(esa)],[knight_answers1]) ).
cnf(c10,plain,
( ~ isa(X0,knight)
| ~ 'tell$uthe$utruth'(asked)
| response(yes) ),
inference(clausification,[status(esa)],[knight_answers3]) ).
cnf(c12,plain,
( response(no)
| response(yes) ),
inference(clausification,[status(esa)],[two_answers]) ).
cnf(c13,plain,
person(asked),
inference(clausification,[status(esa)],[asked_person]) ).
cnf(c14,plain,
person(other),
inference(clausification,[status(esa)],[other_person]) ).
cnf(c15,plain,
( ~ isa(other,X2)
| ~ isa(asked,X1)
| ~ response(X0) ),
inference(clausification,[status(esa)],[prove_answer]) ).
cnf(d0,plain,
( lies(asked)
| 'tell$uthe$utruth'(asked) ),
inference(resolution,[status(thm)],[c5,c13]) ).
cnf(d1,plain,
( 'tell$uthe$utruth'(other)
| ~ response(no)
| ~ lies(asked)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[c7,c2]) ).
cnf(d2,plain,
( 'tell$uthe$utruth'(asked)
| ~ response(no)
| ~ lies(asked)
| 'tell$uthe$utruth'(other) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( response(yes)
| ~ lies(asked)
| 'tell$uthe$utruth'(other)
| 'tell$uthe$utruth'(asked) ),
inference(resolution,[status(thm)],[d2,c12]) ).
cnf(d4,plain,
( 'tell$uthe$utruth'(asked)
| response(yes)
| 'tell$uthe$utruth'(other)
| 'tell$uthe$utruth'(asked) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( isa(X0,knight)
| ~ person(X0)
| lies(X0) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d6,plain,
( lies(other)
| ~ person(other)
| ~ response(X1)
| ~ isa(asked,X0) ),
inference(resolution,[status(thm)],[c15,d5]) ).
cnf(d7,plain,
( ~ response(X1)
| lies(other)
| ~ isa(asked,X0) ),
inference(resolution,[status(thm)],[c14,d6]) ).
cnf(d8,plain,
( isa(asked,knight)
| ~ person(asked)
| ~ response(X0)
| lies(other) ),
inference(resolution,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
( ~ response(X0)
| lies(other)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[c13,d8]) ).
cnf(d10,plain,
( response(yes)
| lies(other)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[d9,c12]) ).
cnf(d11,plain,
( ~ response(X0)
| lies(other)
| response(yes)
| lies(other) ),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
( response(yes)
| response(yes)
| lies(other) ),
inference(resolution,[status(thm)],[d11,c12]) ).
cnf(d13,plain,
( ~ 'tell$uthe$utruth'(other)
| response(yes) ),
inference(resolution,[status(thm)],[d12,c4]) ).
cnf(d14,plain,
( response(yes)
| 'tell$uthe$utruth'(asked)
| response(yes) ),
inference(resolution,[status(thm)],[d13,d4]) ).
cnf(d15,plain,
( response(yes)
| ~ 'tell$uthe$utruth'(asked)
| lies(X0)
| ~ person(X0) ),
inference(resolution,[status(thm)],[d5,c10]) ).
cnf(d16,plain,
( response(yes)
| lies(X0)
| ~ person(X0)
| response(yes) ),
inference(resolution,[status(thm)],[d14,d15]) ).
cnf(d17,plain,
( response(yes)
| lies(asked) ),
inference(resolution,[status(thm)],[d16,c13]) ).
cnf(d18,plain,
( ~ 'tell$uthe$utruth'(asked)
| response(yes) ),
inference(resolution,[status(thm)],[d17,c4]) ).
cnf(d19,plain,
( response(yes)
| response(yes) ),
inference(resolution,[status(thm)],[d18,d14]) ).
cnf(d20,plain,
( isa(other,knight)
| ~ person(other)
| ~ response(X1)
| ~ isa(asked,X0) ),
inference(resolution,[status(thm)],[c15,c0]) ).
cnf(d21,plain,
( ~ response(X1)
| isa(other,knight)
| ~ isa(asked,X0) ),
inference(resolution,[status(thm)],[c14,d20]) ).
cnf(d22,plain,
( isa(asked,knight)
| ~ person(asked)
| ~ response(X0)
| isa(other,knight) ),
inference(resolution,[status(thm)],[d21,c0]) ).
cnf(d23,plain,
( ~ response(X0)
| isa(other,knight)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[c13,d22]) ).
cnf(d24,plain,
( ~ lies(asked)
| ~ isa(X0,knight) ),
inference(resolution,[status(thm)],[d19,c8]) ).
cnf(d25,plain,
( lies(asked)
| ~ person(asked)
| ~ response(X0)
| isa(other,knight) ),
inference(resolution,[status(thm)],[d21,d5]) ).
cnf(d26,plain,
( ~ response(X0)
| lies(asked)
| isa(other,knight) ),
inference(resolution,[status(thm)],[c13,d25]) ).
cnf(d27,plain,
( lies(asked)
| isa(other,knight) ),
inference(resolution,[status(thm)],[d26,d19]) ).
cnf(d28,plain,
( 'tell$uthe$utruth'(other)
| lies(asked) ),
inference(resolution,[status(thm)],[d27,c2]) ).
cnf(d29,plain,
( lies(other)
| isa(asked,knight) ),
inference(resolution,[status(thm)],[d19,d9]) ).
cnf(d30,plain,
( ~ response(X0)
| lies(other)
| lies(other) ),
inference(resolution,[status(thm)],[d29,d7]) ).
cnf(d31,plain,
lies(other),
inference(resolution,[status(thm)],[d30,d19]) ).
cnf(d32,plain,
~ 'tell$uthe$utruth'(other),
inference(resolution,[status(thm)],[d31,c4]) ).
cnf(d33,plain,
lies(asked),
inference(resolution,[status(thm)],[d32,d28]) ).
cnf(d34,plain,
~ isa(X0,knight),
inference(resolution,[status(thm)],[d33,d24]) ).
cnf(d35,plain,
( ~ response(X0)
| isa(other,knight) ),
inference(resolution,[status(thm)],[d34,d23]) ).
cnf(d36,plain,
~ response(X0),
inference(resolution,[status(thm)],[d34,d35]) ).
cnf(d37,plain,
$false,
inference(resolution,[status(thm)],[d36,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ035-2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n017.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 05:02:03 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.16/2.96 % SZS status Unsatisfiable for theBenchmark.p
% 6.16/2.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------