%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV254-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 09:01:46 AM UTC 2026
% Result : Unsatisfiable 9.83s 2.89s
% Output : CNFRefutation 9.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 14 unt; 0 nHn; 8 RR)
% Number of literals : 22 ( 11 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_SetInterval_OatLeastLessThan__empty_0,axiom,
( 'c$uSetInterval$uOatLeastLessThan'(X2,X1,X0) = 'c$uemptyset'
| ~ 'c$ulessequals'(X1,X2,X0)
| ~ 'class$uOrderings$uOorder'(X0) ) ).
cnf(cls_SetInterval_OatLeastLessThan__singleton_0,axiom,
'c$uSetInterval$uOatLeastLessThan'(X0,'c$uSuc'(X0),'tc$unat') = 'c$uinsert'(X0,'c$uemptyset','tc$unat') ).
cnf(cls_Set_Oempty__not__insert_0,axiom,
'c$uemptyset' != 'c$uinsert'(X0,X1,X2) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$ulessequals'(X0,'v$ux'(X0),'tc$unat') ).
cnf(cls_conjecture_1,negated_conjecture,
'v$ux'(X0) = 'v$unat' ).
cnf(clsarity_nat_3,axiom,
'class$uOrderings$uOorder'('tc$unat') ).
cnf(c0,plain,
( 'c$uSetInterval$uOatLeastLessThan'(X2,X1,X0) = 'c$uemptyset'
| ~ 'c$ulessequals'(X1,X2,X0)
| ~ 'class$uOrderings$uOorder'(X0) ),
inference(clausification,[status(esa)],[cls_SetInterval_OatLeastLessThan__empty_0]) ).
cnf(c1,plain,
'c$uSetInterval$uOatLeastLessThan'(X0,'c$uSuc'(X0),'tc$unat') = 'c$uinsert'(X0,'c$uemptyset','tc$unat'),
inference(clausification,[status(esa)],[cls_SetInterval_OatLeastLessThan__singleton_0]) ).
cnf(c2,plain,
'c$uemptyset' != 'c$uinsert'(X0,X1,X2),
inference(clausification,[status(esa)],[cls_Set_Oempty__not__insert_0]) ).
cnf(c3,plain,
'c$ulessequals'(X0,'v$ux'(X0),'tc$unat'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c4,plain,
'v$ux'(X0) = 'v$unat',
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c5,plain,
'class$uOrderings$uOorder'('tc$unat'),
inference(clausification,[status(esa)],[clsarity_nat_3]) ).
cnf(d0,plain,
'c$ulessequals'(X0,'v$unat','tc$unat'),
inference(demodulation,[status(thm)],[c3,c4]) ).
cnf(d1,plain,
( ~ 'class$uOrderings$uOorder'('tc$unat')
| 'c$uSetInterval$uOatLeastLessThan'('v$unat',X0,'tc$unat') = 'c$uemptyset' ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
'c$uSetInterval$uOatLeastLessThan'('v$unat',X0,'tc$unat') = 'c$uemptyset',
inference(resolution,[status(thm)],[c5,d1]) ).
cnf(d3,plain,
'c$uemptyset' = 'c$uinsert'('v$unat','c$uemptyset','tc$unat'),
inference(superposition,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c2,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV254-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42 % Computer : n026.cluster.edu
% 0.10/0.42 % Model : x86_64 x86_64
% 0.10/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42 % Memory : 8046.5625MB
% 0.10/0.42 % OS : Linux 6.8.0-71-generic
% 0.10/0.43 % CPULimit : 300
% 0.10/0.43 % WCLimit : 300
% 0.10/0.43 % DateTime : Sat Sep 26 13:26:10 UTC 2026
% 0.10/0.43 % CPUTime :
% 0.10/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.83/2.89 % SZS status Unsatisfiable for theBenchmark.p
% 9.83/2.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------