%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ026-1 : 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 : 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 08:22:06 AM UTC 2026
% Result : Unsatisfiable 12.31s 3.38s
% Output : CNFRefutation 12.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 52 ( 17 unt; 17 nHn; 50 RR)
% Number of literals : 115 ( 0 equ; 57 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(normal_or_not_normal,axiom,
( 'a$utruth'(normal(X0))
| 'a$utruth'('not$unormal'(X0)) ) ).
cnf(not_two_truthtellers1,axiom,
( ~ 'a$utruth'(truthteller(X1))
| ~ 'a$utruth'(truthteller(X0))
| ~ people(X0,X1,X2) ) ).
cnf(not_two_liars1,axiom,
( ~ 'a$utruth'(liar(X1))
| ~ 'a$utruth'(liar(X0))
| ~ people(X0,X1,X2) ) ).
cnf(not_two_normal1,axiom,
( ~ 'a$utruth'(normal(X1))
| ~ 'a$utruth'(normal(X0))
| ~ people(X0,X1,X2) ) ).
cnf(not_two_normal2,axiom,
( ~ 'a$utruth'(normal(X2))
| ~ 'a$utruth'(normal(X0))
| ~ people(X0,X1,X2) ) ).
cnf(a_b_c_are_people,hypothesis,
people(a,b,c) ).
cnf(b_c_a_are_people,hypothesis,
people(b,c,a) ).
cnf(c_b_a_are_people,hypothesis,
people(c,b,a) ).
cnf(a_says_a_normal,hypothesis,
'a$utruth'(says(a,normal(a))) ).
cnf(b_says_a_normal,hypothesis,
'a$utruth'(says(b,normal(a))) ).
cnf(c_says_c_not_normal,hypothesis,
'a$utruth'(says(c,'not$unormal'(c))) ).
cnf(prove_one_of_each,negated_conjecture,
( ~ 'a$utruth'(truthteller(X2))
| ~ 'a$utruth'(normal(X1))
| ~ 'a$utruth'(liar(X0)) ) ).
cnf(truthtellers_and_normal_tell_truth,axiom,
( 'a$utruth'(normal(X1))
| 'a$utruth'(truthteller(X1))
| ~ 'a$utruth'(says(X1,X0))
| ~ 'a$utruth'(X0) ) ).
cnf(liars_and_normal_lie,axiom,
( 'a$utruth'(normal(X1))
| 'a$utruth'(liar(X1))
| ~ 'a$utruth'(says(X1,X0))
| 'a$utruth'(X0) ) ).
cnf(c1,plain,
( 'a$utruth'(normal(X0))
| 'a$utruth'('not$unormal'(X0)) ),
inference(clausification,[status(esa)],[normal_or_not_normal]) ).
cnf(c2,plain,
( ~ 'a$utruth'(truthteller(X1))
| ~ 'a$utruth'(truthteller(X0))
| ~ people(X0,X1,X2) ),
inference(clausification,[status(esa)],[not_two_truthtellers1]) ).
cnf(c4,plain,
( ~ 'a$utruth'(liar(X1))
| ~ 'a$utruth'(liar(X0))
| ~ people(X0,X1,X2) ),
inference(clausification,[status(esa)],[not_two_liars1]) ).
cnf(c6,plain,
( ~ 'a$utruth'(normal(X1))
| ~ 'a$utruth'(normal(X0))
| ~ people(X0,X1,X2) ),
inference(clausification,[status(esa)],[not_two_normal1]) ).
cnf(c7,plain,
( ~ 'a$utruth'(normal(X2))
| ~ 'a$utruth'(normal(X0))
| ~ people(X0,X1,X2) ),
inference(clausification,[status(esa)],[not_two_normal2]) ).
cnf(c8,plain,
people(a,b,c),
inference(clausification,[status(esa)],[a_b_c_are_people]) ).
cnf(c9,plain,
people(b,c,a),
inference(clausification,[status(esa)],[b_c_a_are_people]) ).
cnf(c10,plain,
people(c,b,a),
inference(clausification,[status(esa)],[c_b_a_are_people]) ).
cnf(c11,plain,
'a$utruth'(says(a,normal(a))),
inference(clausification,[status(esa)],[a_says_a_normal]) ).
cnf(c12,plain,
'a$utruth'(says(b,normal(a))),
inference(clausification,[status(esa)],[b_says_a_normal]) ).
cnf(c13,plain,
'a$utruth'(says(c,'not$unormal'(c))),
inference(clausification,[status(esa)],[c_says_c_not_normal]) ).
cnf(c14,plain,
( ~ 'a$utruth'(truthteller(X2))
| ~ 'a$utruth'(normal(X1))
| ~ 'a$utruth'(liar(X0)) ),
inference(clausification,[status(esa)],[prove_one_of_each]) ).
cnf(c21,plain,
( 'a$utruth'(normal(X1))
| 'a$utruth'(truthteller(X1))
| ~ 'a$utruth'(says(X1,X0))
| ~ 'a$utruth'(X0) ),
inference(clausification,[status(esa)],[truthtellers_and_normal_tell_truth]) ).
cnf(c22,plain,
( 'a$utruth'(normal(X1))
| 'a$utruth'(liar(X1))
| ~ 'a$utruth'(says(X1,X0))
| 'a$utruth'(X0) ),
inference(clausification,[status(esa)],[liars_and_normal_lie]) ).
cnf(d0,plain,
( ~ 'a$utruth'(truthteller(b))
| ~ 'a$utruth'(truthteller(c)) ),
inference(resolution,[status(thm)],[c2,c9]) ).
cnf(d1,plain,
( 'a$utruth'(truthteller(c))
| 'a$utruth'(normal(c))
| ~ 'a$utruth'('not$unormal'(c)) ),
inference(resolution,[status(thm)],[c21,c13]) ).
cnf(d2,plain,
( 'a$utruth'(normal(c))
| 'a$utruth'(truthteller(c))
| 'a$utruth'(normal(c)) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( ~ 'a$utruth'(truthteller(b))
| 'a$utruth'(normal(c)) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ 'a$utruth'(normal(a))
| ~ 'a$utruth'(normal(c)) ),
inference(resolution,[status(thm)],[c7,c10]) ).
cnf(d5,plain,
( 'a$utruth'(liar(a))
| 'a$utruth'(normal(a))
| 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[c22,c11]) ).
cnf(d6,plain,
( ~ 'a$utruth'(liar(a))
| ~ 'a$utruth'(liar(b)) ),
inference(resolution,[status(thm)],[c4,c8]) ).
cnf(d7,plain,
( 'a$utruth'(liar(b))
| 'a$utruth'(normal(b))
| 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[c22,c12]) ).
cnf(d8,plain,
( ~ 'a$utruth'(liar(a))
| 'a$utruth'(normal(b))
| 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( 'a$utruth'(normal(a))
| 'a$utruth'(normal(b))
| 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( ~ 'a$utruth'(normal(c))
| ~ 'a$utruth'(normal(b)) ),
inference(resolution,[status(thm)],[c6,c9]) ).
cnf(d11,plain,
( ~ 'a$utruth'(truthteller(X1))
| ~ 'a$utruth'(normal(X0))
| 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[d5,c14]) ).
cnf(d12,plain,
( 'a$utruth'(normal(c))
| 'a$utruth'(normal(a))
| ~ 'a$utruth'(normal(X0)) ),
inference(resolution,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
( 'a$utruth'(normal(a))
| 'a$utruth'(normal(c))
| 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
( ~ 'a$utruth'(normal(b))
| 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
( 'a$utruth'(normal(a))
| 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[d14,d9]) ).
cnf(d16,plain,
~ 'a$utruth'(normal(c)),
inference(resolution,[status(thm)],[d15,d4]) ).
cnf(d17,plain,
~ 'a$utruth'(truthteller(b)),
inference(resolution,[status(thm)],[d16,d3]) ).
cnf(d18,plain,
( 'a$utruth'(truthteller(b))
| 'a$utruth'(normal(b))
| ~ 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[c21,c12]) ).
cnf(d19,plain,
( 'a$utruth'(truthteller(b))
| 'a$utruth'(normal(b)) ),
inference(resolution,[status(thm)],[d15,d18]) ).
cnf(d20,plain,
( ~ 'a$utruth'(normal(b))
| ~ 'a$utruth'(normal(a)) ),
inference(resolution,[status(thm)],[c6,c8]) ).
cnf(d21,plain,
~ 'a$utruth'(normal(b)),
inference(resolution,[status(thm)],[d15,d20]) ).
cnf(d22,plain,
'a$utruth'(truthteller(b)),
inference(resolution,[status(thm)],[d21,d19]) ).
cnf(d23,plain,
$false,
inference(resolution,[status(thm)],[d22,d17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ026-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.35 % Computer : n017.cluster.edu
% 0.05/0.35 % Model : x86_64 x86_64
% 0.05/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.35 % Memory : 8046.5625MB
% 0.05/0.35 % OS : Linux 6.8.0-71-generic
% 0.05/0.35 % CPULimit : 300
% 0.05/0.35 % WCLimit : 300
% 0.05/0.35 % DateTime : Sat Sep 26 05:00:17 UTC 2026
% 0.05/0.36 % CPUTime :
% 0.05/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.31/3.38 % SZS status Unsatisfiable for theBenchmark.p
% 12.31/3.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------