%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ020-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 08:22:05 AM UTC 2026
% Result : Unsatisfiable 9.76s 1.57s
% Output : CNFRefutation 9.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 17 ( 7 unt; 4 nHn; 17 RR)
% Number of literals : 31 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(knights_make_true_statements,axiom,
( knight(X0)
| ~ 'a$utruth'('statement$uby'(X0))
| ~ person(X0) ) ).
cnf(husband,hypothesis,
person(husband) ).
cnf(knight_wife_or_truthful_husband,hypothesis,
( knight(wife)
| 'a$utruth'('statement$uby'(husband)) ) ).
cnf(knight_wife_means_truthful_husband,hypothesis,
( 'a$utruth'('statement$uby'(husband))
| ~ knight(wife) ) ).
cnf(prove_knight_husband,negated_conjecture,
~ knight(husband) ).
cnf(c6,plain,
( knight(X0)
| ~ 'a$utruth'('statement$uby'(X0))
| ~ person(X0) ),
inference(clausification,[status(esa)],[knights_make_true_statements]) ).
cnf(c10,plain,
person(husband),
inference(clausification,[status(esa)],[husband]) ).
cnf(c16,plain,
( knight(wife)
| 'a$utruth'('statement$uby'(husband)) ),
inference(clausification,[status(esa)],[knight_wife_or_truthful_husband]) ).
cnf(c17,plain,
( 'a$utruth'('statement$uby'(husband))
| ~ knight(wife) ),
inference(clausification,[status(esa)],[knight_wife_means_truthful_husband]) ).
cnf(c18,plain,
~ knight(husband),
inference(clausification,[status(esa)],[prove_knight_husband]) ).
cnf(d0,plain,
( knight(husband)
| ~ person(husband)
| ~ knight(wife) ),
inference(resolution,[status(thm)],[c17,c6]) ).
cnf(d1,plain,
( ~ knight(wife)
| knight(husband) ),
inference(resolution,[status(thm)],[c10,d0]) ).
cnf(d2,plain,
~ knight(wife),
inference(resolution,[status(thm)],[c18,d1]) ).
cnf(d3,plain,
( knight(husband)
| ~ person(husband)
| knight(wife) ),
inference(resolution,[status(thm)],[c16,c6]) ).
cnf(d4,plain,
( knight(wife)
| knight(husband) ),
inference(resolution,[status(thm)],[c10,d3]) ).
cnf(d5,plain,
knight(wife),
inference(resolution,[status(thm)],[c18,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sat Sep 26 05:05:06 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.29 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.76/1.57 % SZS status Unsatisfiable for theBenchmark.p
% 9.76/1.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------