%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV860-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 09:04:50 AM UTC 2026
% Result : Unsatisfiable 39.01s 5.38s
% Output : CNFRefutation 39.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 13 ( 3 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_evaln__elim__cases_I1_J_0,axiom,
( ~ 'c$uNatural$uOevaln'('c$uCom$uOcom$uOSKIP',X1,X2,X0)
| X0 = X1 ) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(hAPP(hAPP('v$uP','v$ux'),'v$uxa')) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uNatural$uOevaln'('c$uCom$uOcom$uOSKIP','v$uxa','v$un','v$uxb') ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(hAPP(hAPP('v$uP','v$ux'),'v$uxb')) ).
cnf(c483,plain,
( ~ 'c$uNatural$uOevaln'('c$uCom$uOcom$uOSKIP',X1,X2,X0)
| X0 = X1 ),
inference(clausification,[status(esa)],[cls_evaln__elim__cases_I1_J_0]) ).
cnf(c484,plain,
hBOOL(hAPP(hAPP('v$uP','v$ux'),'v$uxa')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c485,plain,
'c$uNatural$uOevaln'('c$uCom$uOcom$uOSKIP','v$uxa','v$un','v$uxb'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c486,plain,
~ hBOOL(hAPP(hAPP('v$uP','v$ux'),'v$uxb')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(d0,plain,
'v$uxb' = 'v$uxa',
inference(resolution,[status(thm)],[c483,c485]) ).
cnf(d1,plain,
~ hBOOL(hAPP(hAPP('v$uP','v$ux'),'v$uxa')),
inference(demodulation,[status(thm)],[c486,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c484,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV860-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 : Sat Sep 26 15:04:36 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.01/5.38 % SZS status Unsatisfiable for theBenchmark.p
% 39.01/5.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------