%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT281-2 : 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 : n001.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 07:48:06 AM UTC 2026
% Result : Unsatisfiable 9.33s 2.74s
% Output : CNFRefutation 9.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 14 unt; 0 nHn; 20 RR)
% Number of literals : 31 ( 2 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('c$uPair'('v$ua','v$ub','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uin'('c$uPair'('v$ub','v$uc','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('c$uPair'('v$ua','v$uc','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ).
cnf(cls_Relation_Otrans__def_0,axiom,
( 'c$uin'('c$uPair'(X4,X3,X1,X1),X0,'tc$uprod'(X1,X1))
| ~ 'c$uin'('c$uPair'(X4,X2,X1,X1),X0,'tc$uprod'(X1,X1))
| ~ 'c$uin'('c$uPair'(X2,X3,X1,X1),X0,'tc$uprod'(X1,X1))
| ~ 'c$uRelation$uOtrans'(X0,X1) ) ).
cnf(cls_Tarski_OPartialOrder__iff_2,axiom,
( 'c$uRelation$uOtrans'('c$uTarski$uOpotype$uOorder'(X0,X1,'tc$uProduct$u$uType$uOunit'),X1)
| ~ 'c$uin'(X0,'c$uTarski$uOPartialOrder','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'(X1,'tc$uProduct$u$uType$uOunit')) ) ).
cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
'c$uin'('v$ucl','c$uTarski$uOPartialOrder','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit')) ).
cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
'v$ur' = 'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit') ).
cnf(c0,plain,
'c$uin'('c$uPair'('v$ua','v$ub','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('c$uPair'('v$ub','v$uc','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
~ 'c$uin'('c$uPair'('v$ua','v$uc','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
( 'c$uin'('c$uPair'(X4,X3,X1,X1),X0,'tc$uprod'(X1,X1))
| ~ 'c$uin'('c$uPair'(X4,X2,X1,X1),X0,'tc$uprod'(X1,X1))
| ~ 'c$uin'('c$uPair'(X2,X3,X1,X1),X0,'tc$uprod'(X1,X1))
| ~ 'c$uRelation$uOtrans'(X0,X1) ),
inference(clausification,[status(esa)],[cls_Relation_Otrans__def_0]) ).
cnf(c4,plain,
( 'c$uRelation$uOtrans'('c$uTarski$uOpotype$uOorder'(X0,X1,'tc$uProduct$u$uType$uOunit'),X1)
| ~ 'c$uin'(X0,'c$uTarski$uOPartialOrder','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'(X1,'tc$uProduct$u$uType$uOunit')) ),
inference(clausification,[status(esa)],[cls_Tarski_OPartialOrder__iff_2]) ).
cnf(c5,plain,
'c$uin'('v$ucl','c$uTarski$uOPartialOrder','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit')),
inference(clausification,[status(esa)],[cls_Tarski_Ocl_A_58_APartialOrder_0]) ).
cnf(c6,plain,
'v$ur' = 'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),
inference(clausification,[status(esa)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0]) ).
cnf(d0,plain,
( ~ 'c$uRelation$uOtrans'('v$ur','t$ua')
| 'c$uin'('c$uPair'('v$ua',X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('c$uPair'('v$ub',X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d1,plain,
'c$uRelation$uOtrans'('c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'t$ua'),
inference(resolution,[status(thm)],[c4,c5]) ).
cnf(d2,plain,
'c$uRelation$uOtrans'('v$ur','t$ua'),
inference(demodulation,[status(thm)],[d1,c6]) ).
cnf(d3,plain,
( ~ 'c$uin'('c$uPair'('v$ub',X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| 'c$uin'('c$uPair'('v$ua',X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
'c$uin'('c$uPair'('v$ua','v$uc','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')),
inference(resolution,[status(thm)],[d3,c1]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c2,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.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
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 20:30:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.33/2.74 % SZS status Unsatisfiable for theBenchmark.p
% 9.33/2.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------