%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 08:33:22 AM UTC 2026
% Result : Unsatisfiable 10.66s 2.01s
% Output : CNFRefutation 10.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of clauses : 26 ( 7 unt; 0 nHn; 26 RR)
% Number of literals : 45 ( 44 equ; 31 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'v$uf'('v$ug'('v$ux')) = 'v$ux' ).
cnf(cls_conjecture_1,negated_conjecture,
( 'v$uf'('v$ug'(X0)) != X0
| X0 = 'v$ux' ) ).
cnf(cls_conjecture_2,negated_conjecture,
( 'v$ug'('v$uf'(X0)) != X0
| 'v$ug'('v$uf'('v$uxa'(X0))) = 'v$uxa'(X0) ) ).
cnf(cls_conjecture_3,negated_conjecture,
( 'v$ug'('v$uf'(X0)) != X0
| 'v$uxa'(X0) != X0 ) ).
cnf(c0,plain,
'v$uf'('v$ug'('v$ux')) = 'v$ux',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
( 'v$uf'('v$ug'(X0)) != X0
| X0 = 'v$ux' ),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
( 'v$ug'('v$uf'(X0)) != X0
| 'v$ug'('v$uf'('v$uxa'(X0))) = 'v$uxa'(X0) ),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
( 'v$ug'('v$uf'(X0)) != X0
| 'v$uxa'(X0) != X0 ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
( 'v$ug'('v$uf'('v$uxa'('v$ug'('v$ux')))) = 'v$uxa'('v$ug'('v$ux'))
| 'v$ug'('v$ux') != 'v$ug'('v$ux') ),
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(d1,plain,
'v$ug'('v$uf'('v$uxa'('v$ug'('v$ux')))) = 'v$uxa'('v$ug'('v$ux')),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
( 'v$uf'('v$uxa'('v$ug'('v$ux'))) = 'v$ux'
| 'v$uf'('v$uxa'('v$ug'('v$ux'))) != 'v$uf'('v$uxa'('v$ug'('v$ux'))) ),
inference(superposition,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
'v$uf'('v$uxa'('v$ug'('v$ux'))) = 'v$ux',
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
'v$ug'('v$ux') = 'v$uxa'('v$ug'('v$ux')),
inference(demodulation,[status(thm)],[d1,d3]) ).
cnf(d5,plain,
( 'v$ug'('v$uf'('v$uxa'('v$uxa'('v$ug'('v$ux'))))) = 'v$uxa'('v$uxa'('v$ug'('v$ux')))
| 'v$uxa'('v$ug'('v$ux')) != 'v$uxa'('v$ug'('v$ux')) ),
inference(superposition,[status(thm)],[d1,c2]) ).
cnf(d6,plain,
'v$ug'('v$uf'('v$uxa'('v$uxa'('v$ug'('v$ux'))))) = 'v$uxa'('v$uxa'('v$ug'('v$ux'))),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
( 'v$uxa'('v$uxa'('v$uxa'('v$ug'('v$ux')))) != 'v$uxa'('v$uxa'('v$ug'('v$ux')))
| 'v$uxa'('v$uxa'('v$ug'('v$ux'))) != 'v$uxa'('v$uxa'('v$ug'('v$ux'))) ),
inference(superposition,[status(thm)],[d6,c3]) ).
cnf(d8,plain,
( 'v$uxa'('v$uxa'('v$uxa'('v$ug'('v$ux')))) != 'v$uxa'('v$uxa'('v$ug'('v$ux')))
| 'v$uxa'('v$ug'('v$ux')) != 'v$uxa'('v$uxa'('v$ug'('v$ux'))) ),
inference(demodulation,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( 'v$uxa'('v$uxa'('v$uxa'('v$ug'('v$ux')))) != 'v$uxa'('v$uxa'('v$ug'('v$ux')))
| 'v$ug'('v$ux') != 'v$uxa'('v$uxa'('v$ug'('v$ux'))) ),
inference(demodulation,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
( 'v$uxa'('v$uxa'('v$uxa'('v$ug'('v$ux')))) != 'v$uxa'('v$uxa'('v$ug'('v$ux')))
| 'v$ug'('v$ux') != 'v$uxa'('v$ug'('v$ux')) ),
inference(demodulation,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
( 'v$uxa'('v$uxa'('v$uxa'('v$ug'('v$ux')))) != 'v$uxa'('v$uxa'('v$ug'('v$ux')))
| 'v$ug'('v$ux') != 'v$ug'('v$ux') ),
inference(demodulation,[status(thm)],[d10,d4]) ).
cnf(d12,plain,
( 'v$uxa'('v$uxa'('v$ug'('v$ux'))) != 'v$uxa'('v$uxa'('v$ug'('v$ux')))
| 'v$ug'('v$ux') != 'v$ug'('v$ux') ),
inference(demodulation,[status(thm)],[d11,d4]) ).
cnf(d13,plain,
( 'v$uxa'('v$ug'('v$ux')) != 'v$uxa'('v$uxa'('v$ug'('v$ux')))
| 'v$ug'('v$ux') != 'v$ug'('v$ux') ),
inference(demodulation,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
( 'v$ug'('v$ux') != 'v$uxa'('v$uxa'('v$ug'('v$ux')))
| 'v$ug'('v$ux') != 'v$ug'('v$ux') ),
inference(demodulation,[status(thm)],[d13,d4]) ).
cnf(d15,plain,
( 'v$ug'('v$ux') != 'v$uxa'('v$ug'('v$ux'))
| 'v$ug'('v$ux') != 'v$ug'('v$ux') ),
inference(demodulation,[status(thm)],[d14,d4]) ).
cnf(d16,plain,
( 'v$ug'('v$ux') != 'v$ug'('v$ux')
| 'v$ug'('v$ux') != 'v$ug'('v$ux') ),
inference(demodulation,[status(thm)],[d15,d4]) ).
cnf(d17,plain,
$false,
inference(equality_resolution,[status(thm)],[d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET838-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n018.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 08:22:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.66/2.01 % SZS status Unsatisfiable for theBenchmark.p
% 10.66/2.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------