%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV011-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 07:32:53 AM UTC 2026
% Result : Unsatisfiable 15.79s 4.00s
% Output : CNFRefutation 15.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 5 unt; 4 nHn; 16 RR)
% Number of literals : 31 ( 17 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
( level('t$u139') != 'fifo$ulength'
| ~ 'p$uFull'('t$u139') ) ).
cnf(quest_2,negated_conjecture,
( level('t$u139') = 'fifo$ulength'
| 'p$uFull'('t$u139') ) ).
cnf(axiom_21,axiom,
level(X0) = 'int$ulevel'(X0) ).
cnf(axiom_22,axiom,
( 'p$uFull'(X0)
| 'int$ulevel'(X0) != 'fifo$ulength' ) ).
cnf(axiom_23,axiom,
( ~ 'p$uFull'(X0)
| 'int$ulevel'(X0) = 'fifo$ulength' ) ).
cnf(c0,plain,
( level('t$u139') != 'fifo$ulength'
| ~ 'p$uFull'('t$u139') ),
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
( level('t$u139') = 'fifo$ulength'
| 'p$uFull'('t$u139') ),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c22,plain,
level(X0) = 'int$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c23,plain,
( 'p$uFull'(X0)
| 'int$ulevel'(X0) != 'fifo$ulength' ),
inference(clausification,[status(esa)],[axiom_22]) ).
cnf(c24,plain,
( ~ 'p$uFull'(X0)
| 'int$ulevel'(X0) = 'fifo$ulength' ),
inference(clausification,[status(esa)],[axiom_23]) ).
cnf(d0,plain,
( 'p$uFull'('t$u139')
| 'int$ulevel'('t$u139') = 'fifo$ulength' ),
inference(demodulation,[status(thm)],[c1,c22]) ).
cnf(d1,plain,
( 'int$ulevel'('t$u139') = 'fifo$ulength'
| 'int$ulevel'('t$u139') = 'fifo$ulength' ),
inference(resolution,[status(thm)],[d0,c24]) ).
cnf(d2,plain,
( ~ 'p$uFull'('t$u139')
| 'int$ulevel'('t$u139') != 'fifo$ulength' ),
inference(demodulation,[status(thm)],[c0,c22]) ).
cnf(d3,plain,
( ~ 'p$uFull'('t$u139')
| 'fifo$ulength' != 'fifo$ulength' ),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( 'p$uFull'('t$u139')
| 'fifo$ulength' != 'fifo$ulength' ),
inference(superposition,[status(thm)],[d1,c23]) ).
cnf(d5,plain,
'p$uFull'('t$u139'),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
'fifo$ulength' != 'fifo$ulength',
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : HWV011-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n001.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Fri Sep 25 16:06:25 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.79/4.00 % SZS status Unsatisfiable for theBenchmark.p
% 15.79/4.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------