%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET849-2 : 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 : n006.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 08:33:24 AM UTC 2026
% Result : Unsatisfiable 10.41s 11.75s
% Output : CNFRefutation 10.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 17 ( 7 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 18 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uset'(X1)) ).
cnf(cls_Zorn_OTFin__UnionI_0,axiom,
( 'c$uin'('c$uUnion'(X0,'tc$uset'(X2)),'c$uZorn$uOTFin'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'(X0,'c$uZorn$uOTFin'(X1,X2),'tc$uset'('tc$uset'('tc$uset'(X2)))) ) ).
cnf(cls_Zorn_Oequal__succ__Union_1,axiom,
( 'c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)) = 'c$uZorn$uOsucc'(X0,'c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)),X1)
| ~ 'c$uin'('c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)),'c$uZorn$uOTFin'(X0,X1),'tc$uset'('tc$uset'(X1))) ) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uZorn$uOsucc'('v$uS','c$uUnion'('c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('t$ua')),'t$ua') != 'c$uUnion'('c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('t$ua')) ).
cnf(c0,plain,
'c$ulessequals'(X0,X0,'tc$uset'(X1)),
inference(clausification,[status(esa)],[cls_Set_Osubset__refl_0]) ).
cnf(c1,plain,
( 'c$uin'('c$uUnion'(X0,'tc$uset'(X2)),'c$uZorn$uOTFin'(X1,X2),'tc$uset'('tc$uset'(X2)))
| ~ 'c$ulessequals'(X0,'c$uZorn$uOTFin'(X1,X2),'tc$uset'('tc$uset'('tc$uset'(X2)))) ),
inference(clausification,[status(esa)],[cls_Zorn_OTFin__UnionI_0]) ).
cnf(c2,plain,
( 'c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)) = 'c$uZorn$uOsucc'(X0,'c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)),X1)
| ~ 'c$uin'('c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)),'c$uZorn$uOTFin'(X0,X1),'tc$uset'('tc$uset'(X1))) ),
inference(clausification,[status(esa)],[cls_Zorn_Oequal__succ__Union_1]) ).
cnf(c3,plain,
'c$uZorn$uOsucc'('v$uS','c$uUnion'('c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('t$ua')),'t$ua') != 'c$uUnion'('c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(d0,plain,
( ~ 'c$ulessequals'('c$uZorn$uOTFin'(X0,X1),'c$uZorn$uOTFin'(X0,X1),'tc$uset'('tc$uset'('tc$uset'(X1))))
| 'c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)) = 'c$uZorn$uOsucc'(X0,'c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)),X1) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
'c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)) = 'c$uZorn$uOsucc'(X0,'c$uUnion'('c$uZorn$uOTFin'(X0,X1),'tc$uset'(X1)),X1),
inference(resolution,[status(thm)],[c0,d0]) ).
cnf(d2,plain,
'c$uUnion'('c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('t$ua')) != 'c$uUnion'('c$uZorn$uOTFin'('v$uS','t$ua'),'tc$uset'('t$ua')),
inference(demodulation,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET849-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n006.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sat Sep 26 08:21:22 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.41/11.75 % SZS status Unsatisfiable for theBenchmark.p
% 10.41/11.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------