%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV016-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 07:32:55 AM UTC 2026
% Result : Unsatisfiable 97.78s 14.41s
% Output : CNFRefutation 97.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of clauses : 78 ( 28 unt; 46 nHn; 69 RR)
% Number of literals : 214 ( 39 equ; 61 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
~ gt(n0,level('t$u139')) ).
cnf(quest_2,negated_conjecture,
'p$uWr'('t$u139') ).
cnf(quest_3,negated_conjecture,
~ 'p$uReset'('t$u139') ).
cnf(quest_4,negated_conjecture,
'p$uEmpty'(plus('t$u139',n1)) ).
cnf(quest_5,negated_conjecture,
gt('fifo$ulength',n0) ).
cnf(axiom_1,axiom,
plus(X0,n1) != n0 ).
cnf(axiom_2,axiom,
gt(plus(X0,n1),n0) ).
cnf(axiom_10,axiom,
( X1 = X0
| ~ gt(plus(X0,n1),X1)
| gt(X0,X1) ) ).
cnf(axiom_15,axiom,
( gt(X0,n0)
| X0 = n0 ) ).
cnf(axiom_17,axiom,
~ gt(X0,X0) ).
cnf(axiom_19,axiom,
plus(n0,X0) = X0 ).
cnf(axiom_21,axiom,
level(X0) = 'int$ulevel'(X0) ).
cnf(axiom_25,axiom,
( ~ 'p$uEmpty'(X0)
| 'int$ulevel'(X0) = n0 ) ).
cnf(axiom_34,axiom,
( ~ 'p$uWr$uerror'(plus(X0,n1))
| ~ gt('fifo$ulength','int$ulevel'(X0))
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_35,axiom,
( 'int$ulevel'(plus(X0,n1)) = plus('int$ulevel'(X0),n1)
| ~ gt('fifo$ulength','int$ulevel'(X0))
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_42,axiom,
( 'p$uWr$uerror'(plus(X0,n1))
| gt('fifo$ulength','int$ulevel'(X0))
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_44,axiom,
( 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| gt('fifo$ulength','int$ulevel'(X0))
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_53,axiom,
( 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| ~ gt('int$ulevel'(X0),n0)
| ~ 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_59,axiom,
( 'int$ulevel'(plus(X0,n1)) = plus('int$ulevel'(X0),n1)
| gt('int$ulevel'(X0),n0)
| ~ 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(c0,plain,
~ gt(n0,level('t$u139')),
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
'p$uWr'('t$u139'),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c2,plain,
~ 'p$uReset'('t$u139'),
inference(clausification,[status(esa)],[quest_3]) ).
cnf(c3,plain,
'p$uEmpty'(plus('t$u139',n1)),
inference(clausification,[status(esa)],[quest_4]) ).
cnf(c4,plain,
gt('fifo$ulength',n0),
inference(clausification,[status(esa)],[quest_5]) ).
cnf(c5,plain,
plus(X0,n1) != n0,
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c6,plain,
gt(plus(X0,n1),n0),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c14,plain,
( X0 = X1
| gt(X0,X1)
| ~ gt(plus(X0,n1),X1) ),
inference(clausification,[status(esa)],[axiom_10]) ).
cnf(c19,plain,
( gt(X0,n0)
| X0 = n0 ),
inference(clausification,[status(esa)],[axiom_15]) ).
cnf(c21,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[axiom_17]) ).
cnf(c23,plain,
plus(n0,X0) = X0,
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c25,plain,
'int$ulevel'(X0) = level(X0),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c29,plain,
( ~ 'p$uEmpty'(X0)
| 'int$ulevel'(X0) = n0 ),
inference(clausification,[status(esa)],[axiom_25]) ).
cnf(c38,plain,
( ~ 'p$uWr'(X0)
| 'p$uReset'(X0)
| 'p$uRd'(X0)
| ~ gt('fifo$ulength','int$ulevel'(X0))
| ~ 'p$uWr$uerror'(plus(X0,n1)) ),
inference(clausification,[status(esa)],[axiom_34]) ).
cnf(c39,plain,
( ~ gt('fifo$ulength','int$ulevel'(X0))
| plus('int$ulevel'(X0),n1) = 'int$ulevel'(plus(X0,n1))
| 'p$uReset'(X0)
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0) ),
inference(clausification,[status(esa)],[axiom_35]) ).
cnf(c46,plain,
( gt('fifo$ulength','int$ulevel'(X0))
| 'p$uReset'(X0)
| 'p$uRd'(X0)
| 'p$uWr$uerror'(plus(X0,n1))
| ~ 'p$uWr'(X0) ),
inference(clausification,[status(esa)],[axiom_42]) ).
cnf(c48,plain,
( 'p$uRd'(X0)
| 'int$ulevel'(X0) = 'int$ulevel'(plus(X0,n1))
| ~ 'p$uWr'(X0)
| gt('fifo$ulength','int$ulevel'(X0))
| 'p$uReset'(X0) ),
inference(clausification,[status(esa)],[axiom_44]) ).
cnf(c57,plain,
( 'int$ulevel'(X0) = 'int$ulevel'(plus(X0,n1))
| ~ 'p$uWr'(X0)
| ~ gt('int$ulevel'(X0),n0)
| 'p$uReset'(X0)
| ~ 'p$uRd'(X0) ),
inference(clausification,[status(esa)],[axiom_53]) ).
cnf(c63,plain,
( 'p$uReset'(X0)
| ~ 'p$uWr'(X0)
| gt('int$ulevel'(X0),n0)
| plus('int$ulevel'(X0),n1) = 'int$ulevel'(plus(X0,n1))
| ~ 'p$uRd'(X0) ),
inference(clausification,[status(esa)],[axiom_59]) ).
cnf(d0,plain,
( gt(n0,X0)
| n0 = X0
| ~ gt(n1,X0) ),
inference(superposition,[status(thm)],[c23,c14]) ).
cnf(d1,plain,
'int$ulevel'(plus('t$u139',n1)) = n0,
inference(resolution,[status(thm)],[c29,c3]) ).
cnf(d2,plain,
( ~ 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| gt('int$ulevel'('t$u139'),n0)
| plus('int$ulevel'('t$u139'),n1) = 'int$ulevel'(plus('t$u139',n1)) ),
inference(resolution,[status(thm)],[c63,c1]) ).
cnf(d3,plain,
( ~ 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| gt('int$ulevel'('t$u139'),n0)
| plus('int$ulevel'('t$u139'),n1) = n0 ),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'p$uRd'('t$u139')
| gt('int$ulevel'('t$u139'),n0)
| plus('int$ulevel'('t$u139'),n1) = n0 ),
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
( ~ 'p$uRd'('t$u139')
| gt('int$ulevel'('t$u139'),n0) ),
inference(resolution,[status(thm)],[c5,d4]) ).
cnf(d6,plain,
( 'p$uRd'('t$u139')
| 'p$uWr$uerror'(plus('t$u139',n1))
| 'p$uReset'('t$u139')
| gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(resolution,[status(thm)],[c46,c1]) ).
cnf(d7,plain,
( 'p$uRd'('t$u139')
| 'p$uWr$uerror'(plus('t$u139',n1))
| gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(resolution,[status(thm)],[c2,d6]) ).
cnf(d8,plain,
( 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| plus('int$ulevel'('t$u139'),n1) = 'int$ulevel'(plus('t$u139',n1))
| 'p$uRd'('t$u139')
| 'p$uWr$uerror'(plus('t$u139',n1)) ),
inference(resolution,[status(thm)],[d7,c39]) ).
cnf(d9,plain,
( 'p$uRd'('t$u139')
| 'p$uWr$uerror'(plus('t$u139',n1))
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| plus('int$ulevel'('t$u139'),n1) = n0 ),
inference(demodulation,[status(thm)],[d8,d1]) ).
cnf(d10,plain,
( 'p$uRd'('t$u139')
| 'p$uWr$uerror'(plus('t$u139',n1))
| 'p$uReset'('t$u139')
| plus('int$ulevel'('t$u139'),n1) = n0 ),
inference(resolution,[status(thm)],[c1,d9]) ).
cnf(d11,plain,
( 'p$uRd'('t$u139')
| 'p$uWr$uerror'(plus('t$u139',n1))
| plus('int$ulevel'('t$u139'),n1) = n0 ),
inference(resolution,[status(thm)],[c2,d10]) ).
cnf(d12,plain,
( 'p$uRd'('t$u139')
| 'p$uWr$uerror'(plus('t$u139',n1)) ),
inference(resolution,[status(thm)],[c5,d11]) ).
cnf(d13,plain,
( 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| gt('fifo$ulength','int$ulevel'('t$u139'))
| 'int$ulevel'('t$u139') = 'int$ulevel'(plus('t$u139',n1)) ),
inference(resolution,[status(thm)],[c48,c1]) ).
cnf(d14,plain,
( 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| gt('fifo$ulength','int$ulevel'('t$u139'))
| 'int$ulevel'('t$u139') = n0 ),
inference(demodulation,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
( 'p$uRd'('t$u139')
| gt('fifo$ulength','int$ulevel'('t$u139'))
| 'int$ulevel'('t$u139') = n0 ),
inference(resolution,[status(thm)],[c2,d14]) ).
cnf(d16,plain,
( 'p$uRd'('t$u139')
| gt('fifo$ulength','int$ulevel'('t$u139'))
| 'p$uRd'('t$u139')
| ~ 'p$uWr$uerror'(plus('t$u139',n1))
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| ~ gt('fifo$ulength',n0) ),
inference(superposition,[status(thm)],[d15,c38]) ).
cnf(d17,plain,
( 'p$uRd'('t$u139')
| ~ 'p$uWr$uerror'(plus('t$u139',n1))
| 'p$uReset'('t$u139')
| gt('fifo$ulength','int$ulevel'('t$u139'))
| ~ gt('fifo$ulength',n0) ),
inference(resolution,[status(thm)],[c1,d16]) ).
cnf(d18,plain,
( 'p$uRd'('t$u139')
| ~ 'p$uWr$uerror'(plus('t$u139',n1))
| gt('fifo$ulength','int$ulevel'('t$u139'))
| ~ gt('fifo$ulength',n0) ),
inference(resolution,[status(thm)],[c2,d17]) ).
cnf(d19,plain,
( 'p$uRd'('t$u139')
| ~ 'p$uWr$uerror'(plus('t$u139',n1))
| gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(resolution,[status(thm)],[c4,d18]) ).
cnf(d20,plain,
( 'p$uRd'('t$u139')
| 'p$uRd'('t$u139')
| gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(resolution,[status(thm)],[d19,d12]) ).
cnf(d21,plain,
( 'p$uRd'('t$u139')
| ~ 'p$uWr$uerror'(plus('t$u139',n1))
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| 'p$uRd'('t$u139') ),
inference(resolution,[status(thm)],[d20,c38]) ).
cnf(d22,plain,
( 'p$uRd'('t$u139')
| ~ 'p$uWr$uerror'(plus('t$u139',n1))
| 'p$uReset'('t$u139') ),
inference(resolution,[status(thm)],[c1,d21]) ).
cnf(d23,plain,
( 'p$uRd'('t$u139')
| ~ 'p$uWr$uerror'(plus('t$u139',n1)) ),
inference(resolution,[status(thm)],[c2,d22]) ).
cnf(d24,plain,
( 'p$uRd'('t$u139')
| 'p$uRd'('t$u139') ),
inference(resolution,[status(thm)],[d23,d12]) ).
cnf(d25,plain,
gt('int$ulevel'('t$u139'),n0),
inference(resolution,[status(thm)],[d24,d5]) ).
cnf(d26,plain,
gt(n1,n0),
inference(superposition,[status(thm)],[c23,c6]) ).
cnf(d27,plain,
( gt(X0,n0)
| gt(n1,X0) ),
inference(superposition,[status(thm)],[c19,d26]) ).
cnf(d28,plain,
( gt(n1,'int$ulevel'(X0))
| ~ 'p$uRd'(X0)
| 'p$uReset'(X0)
| ~ 'p$uWr'(X0)
| 'int$ulevel'(X0) = 'int$ulevel'(plus(X0,n1)) ),
inference(resolution,[status(thm)],[c57,d27]) ).
cnf(d29,plain,
( ~ 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| gt(n1,'int$ulevel'('t$u139'))
| 'int$ulevel'('t$u139') = 'int$ulevel'(plus('t$u139',n1)) ),
inference(resolution,[status(thm)],[d28,c1]) ).
cnf(d30,plain,
( ~ 'p$uRd'('t$u139')
| 'p$uReset'('t$u139')
| gt(n1,'int$ulevel'('t$u139'))
| 'int$ulevel'('t$u139') = n0 ),
inference(demodulation,[status(thm)],[d29,d1]) ).
cnf(d31,plain,
( ~ 'p$uRd'('t$u139')
| gt(n1,'int$ulevel'('t$u139'))
| 'int$ulevel'('t$u139') = n0 ),
inference(resolution,[status(thm)],[c2,d30]) ).
cnf(d32,plain,
( gt(n1,'int$ulevel'('t$u139'))
| 'int$ulevel'('t$u139') = n0 ),
inference(resolution,[status(thm)],[d24,d31]) ).
cnf(d33,plain,
( gt(n1,'int$ulevel'('t$u139'))
| gt(n0,n0) ),
inference(superposition,[status(thm)],[d32,d25]) ).
cnf(d34,plain,
gt(n1,'int$ulevel'('t$u139')),
inference(resolution,[status(thm)],[c21,d33]) ).
cnf(d35,plain,
( gt(n0,'int$ulevel'('t$u139'))
| n0 = 'int$ulevel'('t$u139') ),
inference(resolution,[status(thm)],[d34,d0]) ).
cnf(d36,plain,
~ gt(n0,'int$ulevel'('t$u139')),
inference(demodulation,[status(thm)],[c0,c25]) ).
cnf(d37,plain,
n0 = 'int$ulevel'('t$u139'),
inference(resolution,[status(thm)],[d36,d35]) ).
cnf(d38,plain,
gt(n0,n0),
inference(demodulation,[status(thm)],[d25,d37]) ).
cnf(d39,plain,
$false,
inference(resolution,[status(thm)],[c21,d38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV016-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 16:06:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 97.78/14.41 % SZS status Unsatisfiable for theBenchmark.p
% 97.78/14.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------