%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ021-1 : 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 : n005.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 18.34s 3.06s
% Output : CNFRefutation 18.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of clauses : 63 ( 7 unt; 30 nHn; 37 RR)
% Number of literals : 136 ( 0 equ; 54 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 99 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_knight_and_knave,axiom,
( ~ 'a$utruth'(knave(X0),X1)
| ~ 'a$utruth'(knight(X0),X1) ) ).
cnf(knight_or_knave,axiom,
( 'a$utruth'(knave(X0),X1)
| 'a$utruth'(knight(X0),X1) ) ).
cnf(not_rich_and_poor,axiom,
( ~ 'a$utruth'(poor(X0),X1)
| ~ 'a$utruth'(rich(X0),X1) ) ).
cnf(knights_tell_truth1,axiom,
( 'a$utruth'(X2,X1)
| ~ says(X0,X2)
| ~ 'a$utruth'(knight(X0),X1) ) ).
cnf(knaves_lie1,axiom,
( ~ 'a$utruth'(X2,X1)
| ~ says(X0,X2)
| ~ 'a$utruth'(knave(X0),X1) ) ).
cnf(knaves_lie2,axiom,
( 'a$utruth'(X2,X1)
| says(X0,X2)
| ~ 'a$utruth'(knave(X0),X1) ) ).
cnf(conjunction1,axiom,
( 'a$utruth'(X0,X2)
| ~ 'a$utruth'(and(X0,X1),X2) ) ).
cnf(conjunction2,axiom,
( 'a$utruth'(X1,X2)
| ~ 'a$utruth'(and(X0,X1),X2) ) ).
cnf(conjunction3,axiom,
( ~ 'a$utruth'(X1,X2)
| ~ 'a$utruth'(X0,X2)
| 'a$utruth'(and(X0,X1),X2) ) ).
cnf(prove_statement_exists1,negated_conjecture,
( ~ 'a$utruth'(and(knave(me),rich(me)),X0)
| ~ says(me,X0) ) ).
cnf(prove_statement_exists2,negated_conjecture,
( 'a$utruth'(and(knave(me),rich(me)),X0)
| says(me,X0) ) ).
cnf(c0,plain,
( ~ 'a$utruth'(knave(X0),X1)
| ~ 'a$utruth'(knight(X0),X1) ),
inference(clausification,[status(esa)],[not_knight_and_knave]) ).
cnf(c1,plain,
( 'a$utruth'(knave(X0),X1)
| 'a$utruth'(knight(X0),X1) ),
inference(clausification,[status(esa)],[knight_or_knave]) ).
cnf(c2,plain,
( ~ 'a$utruth'(poor(X0),X1)
| ~ 'a$utruth'(rich(X0),X1) ),
inference(clausification,[status(esa)],[not_rich_and_poor]) ).
cnf(c4,plain,
( 'a$utruth'(X2,X1)
| ~ says(X0,X2)
| ~ 'a$utruth'(knight(X0),X1) ),
inference(clausification,[status(esa)],[knights_tell_truth1]) ).
cnf(c6,plain,
( ~ 'a$utruth'(X2,X1)
| ~ says(X0,X2)
| ~ 'a$utruth'(knave(X0),X1) ),
inference(clausification,[status(esa)],[knaves_lie1]) ).
cnf(c7,plain,
( 'a$utruth'(X2,X1)
| says(X0,X2)
| ~ 'a$utruth'(knave(X0),X1) ),
inference(clausification,[status(esa)],[knaves_lie2]) ).
cnf(c8,plain,
( 'a$utruth'(X0,X2)
| ~ 'a$utruth'(and(X0,X1),X2) ),
inference(clausification,[status(esa)],[conjunction1]) ).
cnf(c9,plain,
( 'a$utruth'(X1,X2)
| ~ 'a$utruth'(and(X0,X1),X2) ),
inference(clausification,[status(esa)],[conjunction2]) ).
cnf(c10,plain,
( ~ 'a$utruth'(X1,X2)
| ~ 'a$utruth'(X0,X2)
| 'a$utruth'(and(X0,X1),X2) ),
inference(clausification,[status(esa)],[conjunction3]) ).
cnf(c11,plain,
( ~ 'a$utruth'(and(knave(me),rich(me)),X0)
| ~ says(me,X0) ),
inference(clausification,[status(esa)],[prove_statement_exists1]) ).
cnf(c12,plain,
( 'a$utruth'(and(knave(me),rich(me)),X0)
| says(me,X0) ),
inference(clausification,[status(esa)],[prove_statement_exists2]) ).
cnf(d0,plain,
( 'a$utruth'(knave(me),X0)
| says(me,X0) ),
inference(resolution,[status(thm)],[c12,c8]) ).
cnf(d1,plain,
( says(me,X1)
| 'a$utruth'(X1,X0)
| says(me,X0) ),
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
( says(me,X0)
| 'a$utruth'(X0,X0) ),
inference(factoring,[status(thm)],[d1]) ).
cnf(d3,plain,
( 'a$utruth'(X0,and(X0,X1))
| says(me,and(X0,X1)) ),
inference(resolution,[status(thm)],[d2,c8]) ).
cnf(d4,plain,
( ~ says(me,X1)
| ~ 'a$utruth'(X1,X0)
| says(me,X0) ),
inference(resolution,[status(thm)],[d0,c6]) ).
cnf(d5,plain,
( 'a$utruth'(rich(me),X0)
| says(me,X0) ),
inference(resolution,[status(thm)],[c12,c9]) ).
cnf(d6,plain,
( ~ 'a$utruth'(rich(X0),X1)
| says(me,X1)
| says(me,poor(X0)) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d7,plain,
( says(me,X0)
| says(me,poor(me))
| says(me,X0) ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
says(me,poor(me)),
inference(factoring,[status(thm)],[d7]) ).
cnf(d9,plain,
( says(me,X0)
| ~ 'a$utruth'(poor(me),X0) ),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
( 'a$utruth'(X1,and(X0,X1))
| says(me,and(X0,X1)) ),
inference(resolution,[status(thm)],[d2,c9]) ).
cnf(d11,plain,
( says(me,and(X0,poor(me)))
| says(me,and(X0,poor(me))) ),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
( says(me,X1)
| ~ 'a$utruth'(and(X0,poor(me)),X1) ),
inference(resolution,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
( says(me,and(and(X0,poor(me)),X1))
| says(me,and(and(X0,poor(me)),X1)) ),
inference(resolution,[status(thm)],[d12,d3]) ).
cnf(d14,plain,
( ~ says(me,X0)
| ~ 'a$utruth'(rich(me),X0)
| ~ 'a$utruth'(knave(me),X0) ),
inference(resolution,[status(thm)],[c10,c11]) ).
cnf(d15,plain,
( 'a$utruth'(knave(X2),X1)
| ~ says(X2,X0)
| 'a$utruth'(X0,X1) ),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(d16,plain,
( 'a$utruth'(knave(me),X0)
| 'a$utruth'(poor(me),X0) ),
inference(resolution,[status(thm)],[d8,d15]) ).
cnf(d17,plain,
( ~ 'a$utruth'(rich(me),X0)
| 'a$utruth'(knave(me),X0) ),
inference(resolution,[status(thm)],[d16,c2]) ).
cnf(d18,plain,
( ~ 'a$utruth'(knave(X0),knight(X0))
| says(me,knight(X0)) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d19,plain,
( says(me,knight(me))
| says(me,knight(me)) ),
inference(resolution,[status(thm)],[d18,d0]) ).
cnf(d20,plain,
( says(me,X0)
| ~ 'a$utruth'(knight(me),X0) ),
inference(resolution,[status(thm)],[d19,d4]) ).
cnf(d21,plain,
( says(me,and(knight(me),X0))
| says(me,and(knight(me),X0)) ),
inference(resolution,[status(thm)],[d3,d20]) ).
cnf(d22,plain,
( 'a$utruth'(knave(me),X1)
| 'a$utruth'(and(knight(me),X0),X1) ),
inference(resolution,[status(thm)],[d21,d15]) ).
cnf(d23,plain,
( 'a$utruth'(X1,X0)
| 'a$utruth'(knave(me),X0) ),
inference(resolution,[status(thm)],[d22,c9]) ).
cnf(d24,plain,
( 'a$utruth'(knave(me),X0)
| 'a$utruth'(knave(me),X0) ),
inference(resolution,[status(thm)],[d23,d17]) ).
cnf(d25,plain,
( ~ says(me,X0)
| ~ 'a$utruth'(rich(me),X0) ),
inference(resolution,[status(thm)],[d24,d14]) ).
cnf(d26,plain,
( 'a$utruth'(knave(me),X1)
| 'a$utruth'(X0,X1)
| 'a$utruth'(X0,X0) ),
inference(resolution,[status(thm)],[d2,d15]) ).
cnf(d27,plain,
( 'a$utruth'(knave(me),X0)
| 'a$utruth'(X0,X0) ),
inference(factoring,[status(thm)],[d26]) ).
cnf(d28,plain,
( 'a$utruth'(knave(me),rich(me))
| 'a$utruth'(knave(me),rich(me)) ),
inference(resolution,[status(thm)],[d17,d27]) ).
cnf(d29,plain,
( ~ says(me,X0)
| ~ 'a$utruth'(X0,rich(me)) ),
inference(resolution,[status(thm)],[d28,c6]) ).
cnf(d30,plain,
( 'a$utruth'(knave(me),knave(me))
| 'a$utruth'(knave(me),knave(me)) ),
inference(factoring,[status(thm)],[d26]) ).
cnf(d31,plain,
( ~ says(me,X0)
| ~ 'a$utruth'(X0,knave(me)) ),
inference(resolution,[status(thm)],[d30,c6]) ).
cnf(d32,plain,
~ says(me,knave(me)),
inference(resolution,[status(thm)],[d31,d30]) ).
cnf(d33,plain,
( says(me,X1)
| ~ 'a$utruth'(X0,X1)
| 'a$utruth'(X0,X0) ),
inference(resolution,[status(thm)],[d2,d4]) ).
cnf(d34,plain,
( says(me,X0)
| says(me,X0)
| 'a$utruth'(rich(me),rich(me)) ),
inference(resolution,[status(thm)],[d33,d5]) ).
cnf(d35,plain,
'a$utruth'(rich(me),rich(me)),
inference(resolution,[status(thm)],[d34,d32]) ).
cnf(d36,plain,
~ says(me,rich(me)),
inference(resolution,[status(thm)],[d35,d29]) ).
cnf(d37,plain,
( says(me,X0)
| 'a$utruth'(X0,X1) ),
inference(resolution,[status(thm)],[d24,c7]) ).
cnf(d38,plain,
'a$utruth'(rich(me),X0),
inference(resolution,[status(thm)],[d37,d36]) ).
cnf(d39,plain,
~ says(me,X0),
inference(resolution,[status(thm)],[d38,d25]) ).
cnf(d40,plain,
$false,
inference(resolution,[status(thm)],[d39,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 05:05:01 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.34/3.06 % SZS status Unsatisfiable for theBenchmark.p
% 18.34/3.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------