%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COL120-2 : 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 : n007.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 06:57:00 AM UTC 2026
% Result : Unsatisfiable 10.44s 6.94s
% Output : CNFRefutation 10.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('c$uPair'('v$uy','v$ux','t$ua','t$ua'),'c$uTransitive$u$uClosure$uOrtrancl'('v$ur','t$ua'),'tc$uprod'('t$ua','t$ua')) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ 'c$uin'('c$uPair'('v$uy',X0,'t$ua','t$ua'),'c$uTransitive$u$uClosure$uOrtrancl'('v$ur','t$ua'),'tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('c$uPair'('v$ux',X0,'t$ua','t$ua'),'c$uTransitive$u$uClosure$uOrtrancl'('v$ur','t$ua'),'tc$uprod'('t$ua','t$ua')) ) ).
cnf(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
'c$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'('v$uy','v$ux','t$ua','t$ua'),'c$uTransitive$u$uClosure$uOrtrancl'('v$ur','t$ua'),'tc$uprod'('t$ua','t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c1,plain,
( ~ 'c$uin'('c$uPair'('v$uy',X0,'t$ua','t$ua'),'c$uTransitive$u$uClosure$uOrtrancl'('v$ur','t$ua'),'tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('c$uPair'('v$ux',X0,'t$ua','t$ua'),'c$uTransitive$u$uClosure$uOrtrancl'('v$ur','t$ua'),'tc$uprod'('t$ua','t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c2,plain,
'c$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,
~ 'c$uin'('c$uPair'('v$uy','v$ux','t$ua','t$ua'),'c$uTransitive$u$uClosure$uOrtrancl'('v$ur','t$ua'),'tc$uprod'('t$ua','t$ua')),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c0,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL120-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n007.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 23:15:15 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.44/6.94 % SZS status Unsatisfiable for theBenchmark.p
% 10.44/6.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------