%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ008-3 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 08:21:32 AM UTC 2026
% Result : Unsatisfiable 11.26s 16.89s
% Output : CNFRefutation 11.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 12
% Syntax : Number of clauses : 60 ( 12 unt; 0 nHn; 55 RR)
% Number of literals : 216 ( 0 equ; 170 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(no_missionaries_is_safe,axiom,
safe(n0,X0) ).
cnf(same_or_more_missionaries_is_safe,axiom,
( safe(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ) ).
cnf(great_eq_base,axiom,
'greater$uor$uequal'(X0,n0) ).
cnf(great_eq_recursive,axiom,
( ~ 'greater$uor$uequal'(X0,X1)
| 'greater$uor$uequal'(s(X0),s(X1)) ) ).
cnf(cannibal_east_to_west,axiom,
( achievable(west(m(X0),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(X0,s(X1))
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(X3)))) ) ).
cnf(two_cannibals_west_to_east,axiom,
( achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(s(X3)))))
| ~ safe(X2,s(s(X3)))
| ~ safe(X0,X1)
| ~ achievable(west(m(X0),c(s(s(X1)))),boatonwest,east(m(X2),c(X3))) ) ).
cnf(missionary_east_to_west,axiom,
( achievable(west(m(s(X0)),c(X1)),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(s(X0),X1)
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(X3))) ) ).
cnf(two_missionaries_west_to_east,axiom,
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(s(X2))),c(X3)))
| ~ safe(s(s(X2)),X3)
| ~ safe(X0,X1)
| ~ achievable(west(m(s(s(X0))),c(X1)),boatonwest,east(m(X2),c(X3))) ) ).
cnf(missionary_and_cannibal_west_to_east,axiom,
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3))))
| ~ safe(s(X2),s(X3))
| ~ safe(X0,X1)
| ~ achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3))) ) ).
cnf(missionary_and_cannibal_east_to_west,axiom,
( achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(s(X0),s(X1))
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3)))) ) ).
cnf(start_on_west_bank,hypothesis,
achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0))) ).
cnf(prove_can_get_to_east_bank,negated_conjecture,
~ achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0)))))) ).
cnf(c0,plain,
safe(n0,X0),
inference(clausification,[status(esa)],[no_missionaries_is_safe]) ).
cnf(c1,plain,
( safe(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[same_or_more_missionaries_is_safe]) ).
cnf(c2,plain,
'greater$uor$uequal'(X0,n0),
inference(clausification,[status(esa)],[great_eq_base]) ).
cnf(c3,plain,
( ~ 'greater$uor$uequal'(X0,X1)
| 'greater$uor$uequal'(s(X0),s(X1)) ),
inference(clausification,[status(esa)],[great_eq_recursive]) ).
cnf(c5,plain,
( achievable(west(m(X0),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(X0,s(X1))
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(X3)))) ),
inference(clausification,[status(esa)],[cannibal_east_to_west]) ).
cnf(c6,plain,
( achievable(west(m(X0),c(X1)),boatoneast,east(m(X2),c(s(s(X3)))))
| ~ safe(X2,s(s(X3)))
| ~ safe(X0,X1)
| ~ achievable(west(m(X0),c(s(s(X1)))),boatonwest,east(m(X2),c(X3))) ),
inference(clausification,[status(esa)],[two_cannibals_west_to_east]) ).
cnf(c9,plain,
( achievable(west(m(s(X0)),c(X1)),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(s(X0),X1)
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(X3))) ),
inference(clausification,[status(esa)],[missionary_east_to_west]) ).
cnf(c10,plain,
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(s(X2))),c(X3)))
| ~ safe(s(s(X2)),X3)
| ~ safe(X0,X1)
| ~ achievable(west(m(s(s(X0))),c(X1)),boatonwest,east(m(X2),c(X3))) ),
inference(clausification,[status(esa)],[two_missionaries_west_to_east]) ).
cnf(c12,plain,
( achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3))))
| ~ safe(s(X2),s(X3))
| ~ safe(X0,X1)
| ~ achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3))) ),
inference(clausification,[status(esa)],[missionary_and_cannibal_west_to_east]) ).
cnf(c13,plain,
( achievable(west(m(s(X0)),c(s(X1))),boatonwest,east(m(X2),c(X3)))
| ~ safe(X2,X3)
| ~ safe(s(X0),s(X1))
| ~ achievable(west(m(X0),c(X1)),boatoneast,east(m(s(X2)),c(s(X3)))) ),
inference(clausification,[status(esa)],[missionary_and_cannibal_east_to_west]) ).
cnf(c14,plain,
achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0))),
inference(clausification,[status(esa)],[start_on_west_bank]) ).
cnf(c15,plain,
~ achievable(west(m(n0),c(n0)),X0,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
inference(clausification,[status(esa)],[prove_can_get_to_east_bank]) ).
cnf(d0,plain,
( safe(s(X0),s(X1))
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(d1,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))
| ~ safe(n0,s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(resolution,[status(thm)],[c6,c14]) ).
cnf(d2,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatoneast,east(m(n0),c(s(s(n0)))))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(resolution,[status(thm)],[c0,d1]) ).
cnf(d3,plain,
( achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(n0,s(n0))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
( achievable(west(m(s(s(s(n0)))),c(s(s(n0)))),boatonwest,east(m(n0),c(s(n0))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(resolution,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
| ~ safe(n0,s(s(s(n0))))
| ~ safe(s(s(s(n0))),n0)
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(resolution,[status(thm)],[d4,c6]) ).
cnf(d6,plain,
( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),n0) ),
inference(resolution,[status(thm)],[c0,d5]) ).
cnf(d7,plain,
safe(X0,n0),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d8,plain,
( achievable(west(m(s(s(s(n0)))),c(n0)),boatoneast,east(m(n0),c(s(s(s(n0))))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(n0,s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(resolution,[status(thm)],[d8,c5]) ).
cnf(d10,plain,
( achievable(west(m(s(s(s(n0)))),c(s(n0))),boatonwest,east(m(n0),c(s(s(n0)))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(resolution,[status(thm)],[c0,d9]) ).
cnf(d11,plain,
( achievable(west(m(s(n0)),c(s(n0))),boatoneast,east(m(s(s(n0))),c(s(s(n0)))))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0)) ),
inference(resolution,[status(thm)],[d10,c10]) ).
cnf(d12,plain,
( achievable(west(m(s(s(n0))),c(s(s(n0)))),boatonwest,east(m(s(n0)),c(s(n0))))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d11,c13]) ).
cnf(d13,plain,
( achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(n0,s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d12,c10]) ).
cnf(d14,plain,
( achievable(west(m(n0),c(s(s(n0)))),boatoneast,east(m(s(s(s(n0)))),c(s(n0))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[c0,d13]) ).
cnf(d15,plain,
( achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))
| ~ safe(n0,s(s(s(n0))))
| ~ safe(s(s(s(n0))),n0)
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d14,c5]) ).
cnf(d16,plain,
( achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(s(n0))),n0)
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[c0,d15]) ).
cnf(d17,plain,
( achievable(west(m(n0),c(s(s(s(n0))))),boatonwest,east(m(s(s(s(n0)))),c(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d7,d16]) ).
cnf(d18,plain,
( achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(n0,s(n0))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d17,c6]) ).
cnf(d19,plain,
( achievable(west(m(n0),c(s(n0))),boatoneast,east(m(s(s(s(n0)))),c(s(s(n0)))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[c0,d18]) ).
cnf(d20,plain,
( achievable(west(m(s(n0)),c(s(n0))),boatonwest,east(m(s(s(n0))),c(s(s(n0)))))
| ~ safe(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d19,c9]) ).
cnf(d21,plain,
( achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))
| ~ safe(s(s(s(n0))),s(s(s(n0))))
| ~ safe(n0,n0)
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d20,c12]) ).
cnf(d22,plain,
( achievable(west(m(n0),c(n0)),boatoneast,east(m(s(s(s(n0)))),c(s(s(s(n0))))))
| ~ safe(s(s(s(n0))),s(s(s(n0))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[c0,d21]) ).
cnf(d23,plain,
( ~ safe(s(s(s(n0))),s(s(s(n0))))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[c15,d22]) ).
cnf(d24,plain,
( ~ 'greater$uor$uequal'(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d23,d0]) ).
cnf(d25,plain,
( ~ 'greater$uor$uequal'(s(s(n0)),s(n0))
| ~ 'greater$uor$uequal'(s(s(n0)),s(s(n0)))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d24,d0]) ).
cnf(d26,plain,
( ~ 'greater$uor$uequal'(s(n0),s(n0))
| ~ 'greater$uor$uequal'(s(s(n0)),s(n0))
| ~ safe(s(s(s(n0))),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d25,c3]) ).
cnf(d27,plain,
( ~ 'greater$uor$uequal'(s(s(n0)),n0)
| ~ 'greater$uor$uequal'(s(s(n0)),s(n0))
| ~ 'greater$uor$uequal'(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d26,d0]) ).
cnf(d28,plain,
( ~ 'greater$uor$uequal'(s(s(n0)),s(n0))
| ~ 'greater$uor$uequal'(s(n0),s(n0))
| ~ safe(s(s(n0)),s(s(n0)))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[c2,d27]) ).
cnf(d29,plain,
( ~ 'greater$uor$uequal'(s(n0),s(n0))
| ~ 'greater$uor$uequal'(s(s(n0)),s(n0))
| ~ 'greater$uor$uequal'(s(n0),s(n0))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d28,d0]) ).
cnf(d30,plain,
( ~ 'greater$uor$uequal'(s(n0),n0)
| ~ 'greater$uor$uequal'(s(n0),s(n0))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d29,c3]) ).
cnf(d31,plain,
( ~ 'greater$uor$uequal'(s(n0),s(n0))
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[c2,d30]) ).
cnf(d32,plain,
( ~ 'greater$uor$uequal'(n0,n0)
| ~ safe(s(n0),s(n0)) ),
inference(resolution,[status(thm)],[d31,c3]) ).
cnf(d33,plain,
~ safe(s(n0),s(n0)),
inference(resolution,[status(thm)],[c2,d32]) ).
cnf(d34,plain,
~ 'greater$uor$uequal'(n0,n0),
inference(resolution,[status(thm)],[d33,d0]) ).
cnf(d35,plain,
$false,
inference(resolution,[status(thm)],[c2,d34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ008-3 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.02/15.22 % CPULimit : 300
% 0.02/15.22 % WCLimit : 300
% 0.02/15.22 % DateTime : Sat Sep 26 05:03:06 UTC 2026
% 0.02/15.22 % CPUTime :
% 0.02/15.22 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.26/16.89 % SZS status Unsatisfiable for theBenchmark.p
% 11.26/16.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------