%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COM011-2 : 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 06:58:42 AM UTC 2026
% Result : Unsatisfiable 9.60s 6.73s
% Output : CNFRefutation 9.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 10 unt; 5 nHn; 27 RR)
% Number of literals : 64 ( 0 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 70 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uF','c$uUNITY$uOconstrains'('v$uA','c$uunion'('v$uA','v$uB','t$ua'),'t$ua'),'tc$uUNITY$uOprogram'('t$ua')) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('v$uF','c$uWFair$uOtransient'('v$uA','t$ua'),'tc$uUNITY$uOprogram'('t$ua')) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('v$uF','c$uWFair$uOleadsTo'('v$uA','v$uB','t$ua'),'tc$uUNITY$uOprogram'('t$ua')) ).
cnf(cls_Set_ODiffE_1,axiom,
( 'c$uin'(X0,X1,X3)
| ~ 'c$uin'(X0,'c$uminus'(X1,X2,'tc$uset'(X3)),X3) ) ).
cnf(cls_Set_OsubsetI_0,axiom,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ) ).
cnf(cls_Set_OsubsetI_1,axiom,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X1,X2) ) ).
cnf(cls_UNITY_Oconstrains__weaken__L_0,axiom,
( 'c$uin'(X0,'c$uUNITY$uOconstrains'(X4,X2,X3),'tc$uUNITY$uOprogram'(X3))
| ~ 'c$ulessequals'(X4,X1,'tc$uset'(X3))
| ~ 'c$uin'(X0,'c$uUNITY$uOconstrains'(X1,X2,X3),'tc$uUNITY$uOprogram'(X3)) ) ).
cnf(cls_WFair_OensuresI_0,axiom,
( 'c$uin'(X0,'c$uWFair$uOensures'(X1,X2,X3),'tc$uUNITY$uOprogram'(X3))
| ~ 'c$uin'(X0,'c$uWFair$uOtransient'('c$uminus'(X1,X2,'tc$uset'(X3)),X3),'tc$uUNITY$uOprogram'(X3))
| ~ 'c$uin'(X0,'c$uUNITY$uOconstrains'('c$uminus'(X1,X2,'tc$uset'(X3)),'c$uunion'(X1,X2,X3),X3),'tc$uUNITY$uOprogram'(X3)) ) ).
cnf(cls_WFair_OleadsTo__Basis_0,axiom,
( 'c$uin'(X0,'c$uWFair$uOleadsTo'(X1,X2,X3),'tc$uUNITY$uOprogram'(X3))
| ~ 'c$uin'(X0,'c$uWFair$uOensures'(X1,X2,X3),'tc$uUNITY$uOprogram'(X3)) ) ).
cnf(cls_WFair_Otransient__strengthen_0,axiom,
( 'c$uin'(X0,'c$uWFair$uOtransient'(X3,X2),'tc$uUNITY$uOprogram'(X2))
| ~ 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$uin'(X0,'c$uWFair$uOtransient'(X1,X2),'tc$uUNITY$uOprogram'(X2)) ) ).
cnf(c0,plain,
'c$uin'('v$uF','c$uUNITY$uOconstrains'('v$uA','c$uunion'('v$uA','v$uB','t$ua'),'t$ua'),'tc$uUNITY$uOprogram'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('v$uF','c$uWFair$uOtransient'('v$uA','t$ua'),'tc$uUNITY$uOprogram'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
~ 'c$uin'('v$uF','c$uWFair$uOleadsTo'('v$uA','v$uB','t$ua'),'tc$uUNITY$uOprogram'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
( 'c$uin'(X0,X1,X3)
| ~ 'c$uin'(X0,'c$uminus'(X1,X2,'tc$uset'(X3)),X3) ),
inference(clausification,[status(esa)],[cls_Set_ODiffE_1]) ).
cnf(c4,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X0,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(c5,plain,
( 'c$ulessequals'(X0,X1,'tc$uset'(X2))
| ~ 'c$uin'('c$uMain$uOsubsetI$u$u1'(X0,X1,X2),X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetI_1]) ).
cnf(c6,plain,
( 'c$uin'(X0,'c$uUNITY$uOconstrains'(X4,X2,X3),'tc$uUNITY$uOprogram'(X3))
| ~ 'c$ulessequals'(X4,X1,'tc$uset'(X3))
| ~ 'c$uin'(X0,'c$uUNITY$uOconstrains'(X1,X2,X3),'tc$uUNITY$uOprogram'(X3)) ),
inference(clausification,[status(esa)],[cls_UNITY_Oconstrains__weaken__L_0]) ).
cnf(c7,plain,
( 'c$uin'(X0,'c$uWFair$uOensures'(X1,X2,X3),'tc$uUNITY$uOprogram'(X3))
| ~ 'c$uin'(X0,'c$uWFair$uOtransient'('c$uminus'(X1,X2,'tc$uset'(X3)),X3),'tc$uUNITY$uOprogram'(X3))
| ~ 'c$uin'(X0,'c$uUNITY$uOconstrains'('c$uminus'(X1,X2,'tc$uset'(X3)),'c$uunion'(X1,X2,X3),X3),'tc$uUNITY$uOprogram'(X3)) ),
inference(clausification,[status(esa)],[cls_WFair_OensuresI_0]) ).
cnf(c8,plain,
( 'c$uin'(X0,'c$uWFair$uOleadsTo'(X1,X2,X3),'tc$uUNITY$uOprogram'(X3))
| ~ 'c$uin'(X0,'c$uWFair$uOensures'(X1,X2,X3),'tc$uUNITY$uOprogram'(X3)) ),
inference(clausification,[status(esa)],[cls_WFair_OleadsTo__Basis_0]) ).
cnf(c9,plain,
( 'c$uin'(X0,'c$uWFair$uOtransient'(X3,X2),'tc$uUNITY$uOprogram'(X2))
| ~ 'c$ulessequals'(X3,X1,'tc$uset'(X2))
| ~ 'c$uin'(X0,'c$uWFair$uOtransient'(X1,X2),'tc$uUNITY$uOprogram'(X2)) ),
inference(clausification,[status(esa)],[cls_WFair_Otransient__strengthen_0]) ).
cnf(d0,plain,
( ~ 'c$ulessequals'(X0,'v$uA','tc$uset'('t$ua'))
| 'c$uin'('v$uF','c$uUNITY$uOconstrains'(X0,'c$uunion'('v$uA','v$uB','t$ua'),'t$ua'),'tc$uUNITY$uOprogram'('t$ua')) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d1,plain,
( 'c$uin'('v$uF','c$uWFair$uOensures'('v$uA','v$uB','t$ua'),'tc$uUNITY$uOprogram'('t$ua'))
| ~ 'c$uin'('v$uF','c$uWFair$uOtransient'('c$uminus'('v$uA','v$uB','tc$uset'('t$ua')),'t$ua'),'tc$uUNITY$uOprogram'('t$ua'))
| ~ 'c$ulessequals'('c$uminus'('v$uA','v$uB','tc$uset'('t$ua')),'v$uA','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
( 'c$uin'('c$uMain$uOsubsetI$u$u1'('c$uminus'(X0,X1,'tc$uset'(X2)),X3,X2),X0,X2)
| 'c$ulessequals'('c$uminus'(X0,X1,'tc$uset'(X2)),X3,'tc$uset'(X2)) ),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(d3,plain,
( 'c$ulessequals'('c$uminus'(X0,X1,'tc$uset'(X2)),X0,'tc$uset'(X2))
| 'c$ulessequals'('c$uminus'(X0,X1,'tc$uset'(X2)),X0,'tc$uset'(X2)) ),
inference(resolution,[status(thm)],[d2,c5]) ).
cnf(d4,plain,
( 'c$uin'('v$uF','c$uWFair$uOensures'('v$uA','v$uB','t$ua'),'tc$uUNITY$uOprogram'('t$ua'))
| ~ 'c$uin'('v$uF','c$uWFair$uOtransient'('c$uminus'('v$uA','v$uB','tc$uset'('t$ua')),'t$ua'),'tc$uUNITY$uOprogram'('t$ua')) ),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( 'c$ulessequals'(X0,X0,'tc$uset'(X1))
| 'c$ulessequals'(X0,X0,'tc$uset'(X1)) ),
inference(resolution,[status(thm)],[c4,c5]) ).
cnf(d6,plain,
( ~ 'c$ulessequals'(X0,'v$uA','tc$uset'('t$ua'))
| 'c$uin'('v$uF','c$uWFair$uOtransient'(X0,'t$ua'),'tc$uUNITY$uOprogram'('t$ua')) ),
inference(resolution,[status(thm)],[c9,c1]) ).
cnf(d7,plain,
( ~ 'c$ulessequals'(X1,X0,'tc$uset'('t$ua'))
| 'c$uin'('v$uF','c$uWFair$uOtransient'(X1,'t$ua'),'tc$uUNITY$uOprogram'('t$ua'))
| ~ 'c$ulessequals'(X0,'v$uA','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
( ~ 'c$ulessequals'(X0,'c$uminus'('v$uA',X1,'tc$uset'('t$ua')),'tc$uset'('t$ua'))
| 'c$uin'('v$uF','c$uWFair$uOtransient'(X0,'t$ua'),'tc$uUNITY$uOprogram'('t$ua')) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
'c$uin'('v$uF','c$uWFair$uOtransient'('c$uminus'('v$uA',X0,'tc$uset'('t$ua')),'t$ua'),'tc$uUNITY$uOprogram'('t$ua')),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
'c$uin'('v$uF','c$uWFair$uOensures'('v$uA','v$uB','t$ua'),'tc$uUNITY$uOprogram'('t$ua')),
inference(resolution,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
'c$uin'('v$uF','c$uWFair$uOleadsTo'('v$uA','v$uB','t$ua'),'tc$uUNITY$uOprogram'('t$ua')),
inference(resolution,[status(thm)],[d10,c8]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c2,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM011-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n018.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Sat Sep 26 23:23:13 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.60/6.73 % SZS status Unsatisfiable for theBenchmark.p
% 9.60/6.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------