%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 09:04:52 AM UTC 2026
% Result : Unsatisfiable 130.96s 19.22s
% Output : CNFRefutation 130.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 18 unt; 0 nHn; 20 RR)
% Number of literals : 46 ( 6 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 54 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_insert__subset_2,axiom,
( ~ 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$ufun'(X2,'tc$ubool'))
| 'c$ulessequals'('c$uSet$uOinsert'(X0,X1,X2),X3,'tc$ufun'(X2,'tc$ubool')) ) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)) ).
cnf(cls_empty__subsetI_0,axiom,
'c$ulessequals'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1,'tc$ufun'(X0,'tc$ubool')) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X1,X0))
| 'c$uin'(X0,X1,X2) ) ).
cnf(cls_mem__def_0,axiom,
( ~ 'c$uin'(X1,X0,X2)
| hBOOL(hAPP(X0,X1)) ) ).
cnf(cls_insert__absorb_0,axiom,
( ~ 'c$uin'(X0,X1,X2)
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ) ).
cnf(cls_rev__image__eqI_0,axiom,
( 'c$uin'(hAPP(X3,X0),'c$uSet$uOimage'(X3,X1,X2,X4),X4)
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_conjecture_1,negated_conjecture,
'v$uG' = 'c$uSet$uOimage'('v$umgt$u$ucall','v$uU','tc$uCom$uOpname','t$ua') ).
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('v$upn','v$uU','tc$uCom$uOpname') ).
cnf(cls_conjecture_3,negated_conjecture,
~ 'c$ulessequals'('c$uSet$uOinsert'(hAPP('v$umgt$u$ucall','v$upn'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('t$ua','tc$ubool')),'t$ua'),'c$uSet$uOimage'('v$umgt$u$ucall','v$uU','tc$uCom$uOpname','t$ua'),'tc$ufun'('t$ua','tc$ubool')) ).
cnf(c410,plain,
( ~ 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$ufun'(X2,'tc$ubool'))
| 'c$ulessequals'('c$uSet$uOinsert'(X0,X1,X2),X3,'tc$ufun'(X2,'tc$ubool')) ),
inference(clausification,[status(esa)],[cls_insert__subset_2]) ).
cnf(c411,plain,
hBOOL(hAPP('c$uSet$uOinsert'(X0,X1,X2),X0)),
inference(clausification,[status(esa)],[cls_insert__code_1]) ).
cnf(c440,plain,
'c$ulessequals'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'(X0,'tc$ubool')),X1,'tc$ufun'(X0,'tc$ubool')),
inference(clausification,[status(esa)],[cls_empty__subsetI_0]) ).
cnf(c451,plain,
( ~ hBOOL(hAPP(X1,X0))
| 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_mem__def_1]) ).
cnf(c452,plain,
( ~ 'c$uin'(X1,X0,X2)
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_mem__def_0]) ).
cnf(c466,plain,
( ~ 'c$uin'(X0,X1,X2)
| 'c$uSet$uOinsert'(X0,X1,X2) = X1 ),
inference(clausification,[status(esa)],[cls_insert__absorb_0]) ).
cnf(c469,plain,
( 'c$uin'(hAPP(X3,X0),'c$uSet$uOimage'(X3,X1,X2,X4),X4)
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_rev__image__eqI_0]) ).
cnf(c475,plain,
'v$uG' = 'c$uSet$uOimage'('v$umgt$u$ucall','v$uU','tc$uCom$uOpname','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c476,plain,
'c$uin'('v$upn','v$uU','tc$uCom$uOpname'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c477,plain,
~ 'c$ulessequals'('c$uSet$uOinsert'(hAPP('v$umgt$u$ucall','v$upn'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('t$ua','tc$ubool')),'t$ua'),'c$uSet$uOimage'('v$umgt$u$ucall','v$uU','tc$uCom$uOpname','t$ua'),'tc$ufun'('t$ua','tc$ubool')),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
~ 'c$ulessequals'('c$uSet$uOinsert'(hAPP('v$umgt$u$ucall','v$upn'),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('t$ua','tc$ubool')),'t$ua'),'v$uG','tc$ufun'('t$ua','tc$ubool')),
inference(demodulation,[status(thm)],[c477,c475]) ).
cnf(d1,plain,
( ~ 'c$ulessequals'('c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('t$ua','tc$ubool')),'v$uG','tc$ufun'('t$ua','tc$ubool'))
| ~ 'c$uin'(hAPP('v$umgt$u$ucall','v$upn'),'v$uG','t$ua') ),
inference(resolution,[status(thm)],[d0,c410]) ).
cnf(d2,plain,
~ 'c$uin'(hAPP('v$umgt$u$ucall','v$upn'),'v$uG','t$ua'),
inference(resolution,[status(thm)],[c440,d1]) ).
cnf(d3,plain,
'c$uin'(X0,'c$uSet$uOinsert'(X0,X1,X2),X3),
inference(resolution,[status(thm)],[c451,c411]) ).
cnf(d4,plain,
hBOOL(hAPP('v$uU','v$upn')),
inference(resolution,[status(thm)],[c452,c476]) ).
cnf(d5,plain,
'c$uin'('v$upn','v$uU',X0),
inference(resolution,[status(thm)],[c451,d4]) ).
cnf(d6,plain,
( ~ 'c$uin'(X0,'v$uU','tc$uCom$uOpname')
| 'c$uin'(hAPP('v$umgt$u$ucall',X0),'v$uG','t$ua') ),
inference(superposition,[status(thm)],[c475,c469]) ).
cnf(d7,plain,
( 'c$uSet$uOinsert'(hAPP('v$umgt$u$ucall',X0),'v$uG','t$ua') = 'v$uG'
| ~ 'c$uin'(X0,'v$uU','tc$uCom$uOpname') ),
inference(resolution,[status(thm)],[d6,c466]) ).
cnf(d8,plain,
'c$uSet$uOinsert'(hAPP('v$umgt$u$ucall','v$upn'),'v$uG','t$ua') = 'v$uG',
inference(resolution,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
'c$uin'(hAPP('v$umgt$u$ucall','v$upn'),'v$uG',X0),
inference(superposition,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV880-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.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 : Sat Sep 26 15:08:37 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 130.96/19.22 % SZS status Unsatisfiable for theBenchmark.p
% 130.96/19.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------