%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV821-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 09:04:46 AM UTC 2026
% Result : Unsatisfiable 79.40s 29.02s
% Output : CNFRefutation 79.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 12 ( 5 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 17 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Zero__neq__Suc_0,axiom,
'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat') != 'c$uSuc'(X0) ).
cnf(cls_evaln__elim__cases_I6_J_0,axiom,
( ~ 'c$uNatural$uOevaln'('c$uCom$uOcom$uOBODY'(X1),X2,X0,X3)
| X0 = 'c$uSuc'('c$uNatural$uOsko$u$uNatural$u$uXevaln$u$uelim$u$ucases$u$u6$u$u1'(X1,X0,X2,X3)) ) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uNatural$uOevaln'('c$uCom$uOcom$uOBODY'('v$upn'),'v$uxa','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'v$uxb') ).
cnf(c1218,plain,
'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat') != 'c$uSuc'(X0),
inference(clausification,[status(esa)],[cls_Zero__neq__Suc_0]) ).
cnf(c1250,plain,
( ~ 'c$uNatural$uOevaln'('c$uCom$uOcom$uOBODY'(X1),X2,X0,X3)
| X0 = 'c$uSuc'('c$uNatural$uOsko$u$uNatural$u$uXevaln$u$uelim$u$ucases$u$u6$u$u1'(X1,X0,X2,X3)) ),
inference(clausification,[status(esa)],[cls_evaln__elim__cases_I6_J_0]) ).
cnf(c1265,plain,
'c$uNatural$uOevaln'('c$uCom$uOcom$uOBODY'('v$upn'),'v$uxa','c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'v$uxb'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(d0,plain,
( ~ 'c$uNatural$uOevaln'('c$uCom$uOcom$uOBODY'(X0),X2,X1,X3)
| 'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat') != X1 ),
inference(superposition,[status(thm)],[c1250,c1218]) ).
cnf(d1,plain,
~ 'c$uNatural$uOevaln'('c$uCom$uOcom$uOBODY'(X0),X1,'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),X2),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c1265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV821-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 15:01:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.40/29.02 % SZS status Unsatisfiable for theBenchmark.p
% 79.40/29.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------