%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL103-2 : 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 : n003.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 06:56:57 AM UTC 2026
% Result : Unsatisfiable 12.04s 1.93s
% Output : CNFRefutation 12.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 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 : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$uz','v$ux'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$uz','v$ux'),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uTransitive$u$uClosure$uOrtrancl'('c$uComb$uOcontract','tc$uComb$uOcomb'),'tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')) ).
cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
'c$uin'('c$uPair'(X0,X0,X1,X1),'c$uTransitive$u$uClosure$uOrtrancl'(X2,X1),'tc$uprod'(X1,X1)) ).
cnf(c0,plain,
~ 'c$uin'('c$uPair'('c$uComb$uOcomb$uOop$uA$uD$uD'('v$uz','v$ux'),'c$uComb$uOcomb$uOop$uA$uD$uD'('v$uz','v$ux'),'tc$uComb$uOcomb','tc$uComb$uOcomb'),'c$uTransitive$u$uClosure$uOrtrancl'('c$uComb$uOcontract','tc$uComb$uOcomb'),'tc$uprod'('tc$uComb$uOcomb','tc$uComb$uOcomb')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('c$uPair'(X0,X0,X1,X1),'c$uTransitive$u$uClosure$uOrtrancl'(X2,X1),'tc$uprod'(X1,X1)),
inference(clausification,[status(esa)],[cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c1,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL103-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 23:17:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.04/1.93 % SZS status Unsatisfiable for theBenchmark.p
% 12.04/1.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------