%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ024-1 : 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 : n004.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 11.19s 2.98s
% Output : CNFRefutation 11.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 10 unt; 7 nHn; 17 RR)
% Number of literals : 41 ( 0 equ; 14 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(all_truthtellers,axiom,
( 'a$utruth'(truthteller(X2))
| 'a$utruth'(truthteller(X1))
| 'a$utruth'(truthteller(X0))
| ~ people(X0,X1,X2)
| 'a$utruth'('all$uare$uliars') ) ).
cnf(b_c_a_people,hypothesis,
people(b,c,a) ).
cnf(a_says_all_are_liars,hypothesis,
'a$utruth'(says(a,'all$uare$uliars')) ).
cnf(prove_there_is_a_truthteller,negated_conjecture,
~ 'a$utruth'(truthteller(X0)) ).
cnf(truthteller_or_liar,axiom,
( 'a$utruth'(liar(X0))
| 'a$utruth'(truthteller(X0)) ) ).
cnf(liars_lie,axiom,
( ~ 'a$utruth'(X1)
| ~ 'a$utruth'(says(X0,X1))
| ~ 'a$utruth'(liar(X0)) ) ).
cnf(c7,plain,
( 'a$utruth'('all$uare$uliars')
| 'a$utruth'(truthteller(X2))
| ~ people(X1,X2,X0)
| 'a$utruth'(truthteller(X1))
| 'a$utruth'(truthteller(X0)) ),
inference(clausification,[status(esa)],[all_truthtellers]) ).
cnf(c8,plain,
people(b,c,a),
inference(clausification,[status(esa)],[b_c_a_people]) ).
cnf(c11,plain,
'a$utruth'(says(a,'all$uare$uliars')),
inference(clausification,[status(esa)],[a_says_all_are_liars]) ).
cnf(c13,plain,
~ 'a$utruth'(truthteller(X0)),
inference(clausification,[status(esa)],[prove_there_is_a_truthteller]) ).
cnf(c14,plain,
( 'a$utruth'(liar(X0))
| 'a$utruth'(truthteller(X0)) ),
inference(clausification,[status(esa)],[truthteller_or_liar]) ).
cnf(c17,plain,
( ~ 'a$utruth'(X1)
| ~ 'a$utruth'(says(X0,X1))
| ~ 'a$utruth'(liar(X0)) ),
inference(clausification,[status(esa)],[liars_lie]) ).
cnf(d0,plain,
( ~ people(X1,X0,X2)
| 'a$utruth'('all$uare$uliars')
| 'a$utruth'(truthteller(X1))
| 'a$utruth'(truthteller(X0)) ),
inference(resolution,[status(thm)],[c13,c7]) ).
cnf(d1,plain,
( 'a$utruth'('all$uare$uliars')
| 'a$utruth'(truthteller(c))
| 'a$utruth'(truthteller(b)) ),
inference(resolution,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
( 'a$utruth'('all$uare$uliars')
| 'a$utruth'(truthteller(c)) ),
inference(resolution,[status(thm)],[c13,d1]) ).
cnf(d3,plain,
'a$utruth'(liar(X0)),
inference(resolution,[status(thm)],[c13,c14]) ).
cnf(d4,plain,
( ~ 'a$utruth'(says(X1,X0))
| ~ 'a$utruth'(X0) ),
inference(resolution,[status(thm)],[d3,c17]) ).
cnf(d5,plain,
~ 'a$utruth'('all$uare$uliars'),
inference(resolution,[status(thm)],[d4,c11]) ).
cnf(d6,plain,
'a$utruth'(truthteller(c)),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ024-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n004.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 05:05:07 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.19/2.98 % SZS status Unsatisfiable for theBenchmark.p
% 11.19/2.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------