%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL110-2 : 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 : n017.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 06:56:58 AM UTC 2026
% Result : Unsatisfiable 10.43s 2.72s
% Output : CNFRefutation 10.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 5 unt; 0 nHn; 24 RR)
% Number of literals : 52 ( 0 equ; 37 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('c$uPair'('v$ux','v$uyb','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ).
cnf(cls_conjecture_3,negated_conjecture,
'c$uin'('c$uPair'('v$uz','v$uwa','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$uya','v$uw'),X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$uyb','v$uwa'),X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ 'c$uin'('c$uPair'('v$ux',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'('v$uya','v$uxb'(X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ 'c$uin'('c$uPair'('v$ux',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'(X0,'v$uxb'(X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ) ).
cnf(cls_conjecture_7,negated_conjecture,
( ~ 'c$uin'('c$uPair'('v$uz',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'('v$uw','v$uxaa'(X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ) ).
cnf(cls_conjecture_8,negated_conjecture,
( ~ 'c$uin'('c$uPair'('v$uz',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'(X0,'v$uxaa'(X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ) ).
cnf(cls_Comb_Oparcontract_Ointros__4_0,axiom,
( 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'(X2,X0),'c$uComb$uOcomb$uOop$uA$uD$uD'(X3,X1),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'(X2,X3,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'(X0,X1,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ) ).
cnf(c0,plain,
'c$uin'('c$uPair'('v$ux','v$uyb','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c1,plain,
'c$uin'('c$uPair'('v$uz','v$uwa','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c2,plain,
( ~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$uya','v$uw'),X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$uyb','v$uwa'),X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c3,plain,
( ~ 'c$uin'('c$uPair'('v$ux',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'('v$uya','v$uxb'(X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c4,plain,
( ~ 'c$uin'('c$uPair'('v$ux',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'(X0,'v$uxb'(X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c5,plain,
( ~ 'c$uin'('c$uPair'('v$uz',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'('v$uw','v$uxaa'(X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(clausification,[status(esa)],[cls_conjecture_7]) ).
cnf(c6,plain,
( ~ 'c$uin'('c$uPair'('v$uz',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| 'c$uin'('c$uPair'(X0,'v$uxaa'(X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(clausification,[status(esa)],[cls_conjecture_8]) ).
cnf(c7,plain,
( 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'(X2,X0),'c$uComb$uOcomb$uOop$uA$uD$uD'(X3,X1),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'(X2,X3,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'(X0,X1,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(clausification,[status(esa)],[cls_Comb_Oparcontract_Ointros__4_0]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$uyb','v$uwa'),'c$uComb$uOcomb$uOop$uA$uD$uD'(X1,X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uya',X1,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uw',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[c7,c2]) ).
cnf(d1,plain,
( ~ 'c$uin'('c$uPair'('v$uyb',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uwa',X1,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uw',X1,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uya',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uPair'('v$uz',X1,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uya',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uwa','v$uxaa'(X1),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uyb',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
( ~ 'c$uin'('c$uPair'('v$uz','v$uwa','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uya',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uz','v$uwa','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uyb',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[d2,c6]) ).
cnf(d4,plain,
( ~ 'c$uin'('c$uPair'('v$uya',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uyb',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
( ~ 'c$uin'('c$uPair'('v$ux',X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uyb','v$uxb'(X0),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
( ~ 'c$uin'('c$uPair'('v$ux','v$uyb','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$ux','v$uyb','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c0,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL110-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n017.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 23:11:18 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.43/2.72 % SZS status Unsatisfiable for theBenchmark.p
% 10.43/2.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------