%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV011-3 : 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 : n013.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 16.77s 2.53s
% Output : CNFRefutation 16.77s
% 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') = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' ).
cnf(quest_2,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'('t$u206')) ).
cnf(axiom_5,axiom,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ).
cnf(axiom_6,axiom,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'(X0)) ) ).
cnf(c0,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206') = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength',
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'('t$u206')),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c5,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c6,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength'
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'(X0)) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(d0,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength',
inference(demodulation,[status(thm)],[c0,c5]) ).
cnf(d1,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTfull'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' != 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' ),
inference(superposition,[status(thm)],[d0,c6]) ).
cnf(d2,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength' != 'fwork$uDOTfifo$uDOTrtl$uDOTfifo$u$ulength',
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV011-3 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 16:00:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.77/2.53 % SZS status Unsatisfiable for theBenchmark.p
% 16.77/2.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------