%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT262-2 : 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 : n015.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 07:48:01 AM UTC 2026
% Result : Unsatisfiable 13.58s 2.12s
% Output : CNFRefutation 13.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 12 ( 4 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$ulessequals'('v$uS','c$uTarski$uOpotype$uOpset'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uset'('t$ua')) ).
cnf(cls_conjecture_1,negated_conjecture,
~ 'c$ulessequals'('v$uS','c$uTarski$uOpotype$uOpset'('c$uTarski$uOdual'('v$ucl','t$ua'),'t$ua','tc$uProduct$u$uType$uOunit'),'tc$uset'('t$ua')) ).
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
'v$uA' = 'c$uTarski$uOpotype$uOpset'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit') ).
cnf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
'c$uTarski$uOpotype$uOpset'('c$uTarski$uOdual'(X0,X1),X1,'tc$uProduct$u$uType$uOunit') = 'c$uTarski$uOpotype$uOpset'(X0,X1,'tc$uProduct$u$uType$uOunit') ).
cnf(c0,plain,
'c$ulessequals'('v$uS','c$uTarski$uOpotype$uOpset'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
~ 'c$ulessequals'('v$uS','c$uTarski$uOpotype$uOpset'('c$uTarski$uOdual'('v$ucl','t$ua'),'t$ua','tc$uProduct$u$uType$uOunit'),'tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
'v$uA' = 'c$uTarski$uOpotype$uOpset'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),
inference(clausification,[status(esa)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]) ).
cnf(c3,plain,
'c$uTarski$uOpotype$uOpset'('c$uTarski$uOdual'(X0,X1),X1,'tc$uProduct$u$uType$uOunit') = 'c$uTarski$uOpotype$uOpset'(X0,X1,'tc$uProduct$u$uType$uOunit'),
inference(clausification,[status(esa)],[cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0]) ).
cnf(d0,plain,
~ 'c$ulessequals'('v$uS','c$uTarski$uOpotype$uOpset'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uset'('t$ua')),
inference(demodulation,[status(thm)],[c1,c3]) ).
cnf(d1,plain,
~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')),
inference(demodulation,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')),
inference(demodulation,[status(thm)],[c0,c2]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 20:25:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.58/2.12 % SZS status Unsatisfiable for theBenchmark.p
% 13.58/2.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------