%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ063-2 : 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 : n009.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 08:22:13 AM UTC 2026
% Result : Unsatisfiable 8.92s 1.58s
% Output : CNFRefutation 8.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uin'('v$uu','c$uMutil$uOtiling'('v$uA','t$ua'),'tc$uset'('t$ua')) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uin'('c$uunion'('c$uemptyset','v$uu','t$ua'),'c$uMutil$uOtiling'('v$uA','t$ua'),'tc$uset'('t$ua')) ).
cnf(cls_Set_OUn__empty__left_0,axiom,
'c$uunion'('c$uemptyset',X0,X1) = X0 ).
cnf(c0,plain,
'c$uin'('v$uu','c$uMutil$uOtiling'('v$uA','t$ua'),'tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
~ 'c$uin'('c$uunion'('c$uemptyset','v$uu','t$ua'),'c$uMutil$uOtiling'('v$uA','t$ua'),'tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c2,plain,
'c$uunion'('c$uemptyset',X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Set_OUn__empty__left_0]) ).
cnf(d0,plain,
~ 'c$uin'('v$uu','c$uMutil$uOtiling'('v$uA','t$ua'),'tc$uset'('t$ua')),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c0,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ063-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n009.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sat Sep 26 05:11:59 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.92/1.58 % SZS status Unsatisfiable for theBenchmark.p
% 8.92/1.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------