%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL124-2 : 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 : n009.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 06:57:01 AM UTC 2026
% Result : Unsatisfiable 7.28s 2.57s
% Output : CNFRefutation 7.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 14 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 16 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( ~ 'c$uin'('c$uPair'(X1,X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'(X1,X2,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'(X0,'v$ux'(X1,X0,X2),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ) ).
cnf(cls_Comb_OI__contract__E_0,axiom,
~ 'c$uin'('c$uPair'('c$uComb$uOI',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ).
cnf(cls_Comb_Ocontract_OK_0,axiom,
'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOK',X0),X1),X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ).
cnf(c0,plain,
( ~ 'c$uin'('c$uPair'(X1,X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'(X1,X2,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'(X0,'v$ux'(X1,X0,X2),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
~ 'c$uin'('c$uPair'('c$uComb$uOI',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(clausification,[status(esa)],[cls_Comb_OI__contract__E_0]) ).
cnf(c2,plain,
'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOK',X0),X1),X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(clausification,[status(esa)],[cls_Comb_Ocontract_OK_0]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uPair'(X0,X1,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'(X0,'c$uComb$uOI','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOK','c$uComb$uOI'),X0),X1,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL124-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n009.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 23:17:45 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.28/2.57 % SZS status Unsatisfiable for theBenchmark.p
% 7.28/2.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------