%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV010-3 : 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 : n012.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 15.80s 18.19s
% Output : CNFRefutation 15.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 10 RR)
% Number of literals : 15 ( 9 equ; 6 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 : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206') = n0 ).
cnf(quest_2,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('t$u206')) ).
cnf(axiom_5,axiom,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ).
cnf(axiom_8,axiom,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != n0
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ) ).
cnf(c0,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206') = n0,
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('t$u206')),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c5,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c8,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != n0
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(d0,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n0,
inference(demodulation,[status(thm)],[c0,c5]) ).
cnf(d1,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('t$u206'))
| n0 != n0 ),
inference(superposition,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
n0 != n0,
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : HWV010-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/16.15 % Computer : n012.cluster.edu
% 0.04/16.15 % Model : x86_64 x86_64
% 0.04/16.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/16.15 % Memory : 8046.5625MB
% 0.04/16.15 % OS : Linux 6.8.0-71-generic
% 0.04/16.15 % CPULimit : 300
% 0.04/16.15 % WCLimit : 300
% 0.04/16.15 % DateTime : Fri Sep 25 16:00:53 UTC 2026
% 0.04/16.15 % CPUTime :
% 0.04/16.15 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.80/18.19 % SZS status Unsatisfiable for theBenchmark.p
% 15.80/18.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------