%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL117-2 : 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 : n014.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 06:56:59 AM UTC 2026
% Result : Unsatisfiable 9.63s 2.38s
% Output : CNFRefutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 31 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('c$uPair'('v$uz','v$uw','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('c$uPair'('v$ux','v$ux$uH','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ).
cnf(cls_conjecture_2,negated_conjecture,
'c$uin'('c$uPair'('v$uya','v$uy$uHa','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$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux','v$uz'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$uya','v$uz')),X0,'tc$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'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOS','v$ux$uH'),'v$uy$uHa'),'v$uw'),X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ) ).
cnf(cls_Comb_Oparcontract_Ointros__3_0,axiom,
'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOS',X0),X1),X2),'c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'(X0,X2),'c$uComb$uOcomb$uOop$uA$uD$uD'(X1,X2)),'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$uz','v$uw','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('c$uPair'('v$ux','v$ux$uH','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
'c$uin'('c$uPair'('v$uya','v$uy$uHa','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
( ~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux','v$uz'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$uya','v$uz')),X0,'tc$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'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOS','v$ux$uH'),'v$uy$uHa'),'v$uw'),X0,'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c4,plain,
'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOS',X0),X1),X2),'c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'(X0,X2),'c$uComb$uOcomb$uOop$uA$uD$uD'(X1,X2)),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(clausification,[status(esa)],[cls_Comb_Oparcontract_Ointros__3_0]) ).
cnf(c5,plain,
( 'c$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'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux','v$uz'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$uya','v$uz')),'c$uComb$uOcomb$uOop$uA$uD$uD'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux$uH','v$uw'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$uy$uHa','v$uw')),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(d1,plain,
( ~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux','v$uz'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux$uH','v$uw'),'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$uD'('v$uya','v$uz'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$uy$uHa','v$uw'),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uPair'('v$uya','v$uy$uHa','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uz','v$uw','tc$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$ux','v$uz'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux$uH','v$uw'),'tc$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'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux','v$uz'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux$uH','v$uw'),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uya','v$uy$uHa','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux','v$uz'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$ux$uH','v$uw'),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
( ~ 'c$uin'('c$uPair'('v$ux','v$ux$uH','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb'))
| ~ 'c$uin'('c$uPair'('v$uz','v$uw','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ),
inference(resolution,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
~ 'c$uin'('c$uPair'('v$ux','v$ux$uH','tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uComb$uOparcontract','tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(resolution,[status(thm)],[c0,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c1,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL117-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n014.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 23:16:46 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.63/2.38 % SZS status Unsatisfiable for theBenchmark.p
% 9.63/2.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------