%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ANA042-2 : 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 : n017.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 06:50:43 AM UTC 2026
% Result : Unsatisfiable 8.15s 1.44s
% Output : CNFRefutation 8.15s
% 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
'c$ulessequals'('c$uHOL$uOabs'('v$uf'(X0,X1),'t$uc'),'c$utimes'('v$ux','v$uh'(X0,X1),'t$uc'),'t$uc') ).
cnf(cls_conjecture_3,negated_conjecture,
~ 'c$ulessequals'('c$uHOL$uOabs'('v$uf'('v$uxa'(X0),'v$uxb'(X0)),'t$uc'),'c$utimes'(X0,'v$uh'('v$uxa'(X0),'v$uxb'(X0)),'t$uc'),'t$uc') ).
cnf(c0,plain,
'c$ulessequals'('c$uHOL$uOabs'('v$uf'(X0,X1),'t$uc'),'c$utimes'('v$ux','v$uh'(X0,X1),'t$uc'),'t$uc'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c1,plain,
~ 'c$ulessequals'('c$uHOL$uOabs'('v$uf'('v$uxa'(X0),'v$uxb'(X0)),'t$uc'),'c$utimes'(X0,'v$uh'('v$uxa'(X0),'v$uxb'(X0)),'t$uc'),'t$uc'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c1,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA042-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n017.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 26 22:05:05 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.15/1.44 % SZS status Unsatisfiable for theBenchmark.p
% 8.15/1.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------