%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV925-1 : 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 : n016.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 09:04:56 AM UTC 2026
% Result : Unsatisfiable 30.15s 4.31s
% Output : CNFRefutation 30.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 16 unt; 0 nHn; 14 RR)
% Number of literals : 26 ( 16 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_bot__least_0,axiom,
( 'c$ulessequals'('c$uOrderings$uObot$u$uclass$uObot'(X0),X1,X0)
| ~ 'class$uOrderings$uObot'(X0) ) ).
cnf(cls_le__0__eq_0,axiom,
( ~ 'c$ulessequals'(X0,'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'tc$unat')
| X0 = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat') ) ).
cnf(cls_nat_Osimps_I3_J_0,axiom,
'c$uSuc'(X0) != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat') ).
cnf(cls_Suc__length__conv_2,axiom,
'c$uSuc'('c$uNat$uOsize$u$uclass$uOsize'(X0,'tc$uList$uOlist'(X1))) = 'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uOCons'(X2,X0,X1),'tc$uList$uOlist'(X1)) ).
cnf(cls_length__0__conv_1,axiom,
'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uONil'(X0),'tc$uList$uOlist'(X0)) = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uOCons'('v$uaj','v$uak','tc$uValue$uOval'),'tc$uList$uOlist'('tc$uValue$uOval')) = 'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uONil'('tc$uType$uOty'),'tc$uList$uOlist'('tc$uType$uOty')) ).
cnf(clsarity_nat__Orderings_Obot,axiom,
'class$uOrderings$uObot'('tc$unat') ).
cnf(c43,plain,
( 'c$ulessequals'('c$uOrderings$uObot$u$uclass$uObot'(X0),X1,X0)
| ~ 'class$uOrderings$uObot'(X0) ),
inference(clausification,[status(esa)],[cls_bot__least_0]) ).
cnf(c222,plain,
( ~ 'c$ulessequals'(X0,'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),'tc$unat')
| X0 = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat') ),
inference(clausification,[status(esa)],[cls_le__0__eq_0]) ).
cnf(c241,plain,
'c$uSuc'(X0) != 'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),
inference(clausification,[status(esa)],[cls_nat_Osimps_I3_J_0]) ).
cnf(c568,plain,
'c$uSuc'('c$uNat$uOsize$u$uclass$uOsize'(X0,'tc$uList$uOlist'(X1))) = 'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uOCons'(X2,X0,X1),'tc$uList$uOlist'(X1)),
inference(clausification,[status(esa)],[cls_Suc__length__conv_2]) ).
cnf(c574,plain,
'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uONil'(X0),'tc$uList$uOlist'(X0)) = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),
inference(clausification,[status(esa)],[cls_length__0__conv_1]) ).
cnf(c594,plain,
'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uOCons'('v$uaj','v$uak','tc$uValue$uOval'),'tc$uList$uOlist'('tc$uValue$uOval')) = 'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uONil'('tc$uType$uOty'),'tc$uList$uOlist'('tc$uType$uOty')),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c605,plain,
'class$uOrderings$uObot'('tc$unat'),
inference(clausification,[status(esa)],[clsarity_nat__Orderings_Obot]) ).
cnf(d0,plain,
( ~ 'class$uOrderings$uObot'('tc$unat')
| 'c$uOrderings$uObot$u$uclass$uObot'('tc$unat') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat') ),
inference(resolution,[status(thm)],[c222,c43]) ).
cnf(d1,plain,
'c$uOrderings$uObot$u$uclass$uObot'('tc$unat') = 'c$uHOL$uOzero$u$uclass$uOzero'('tc$unat'),
inference(resolution,[status(thm)],[c605,d0]) ).
cnf(d2,plain,
'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uONil'(X0),'tc$uList$uOlist'(X0)) = 'c$uOrderings$uObot$u$uclass$uObot'('tc$unat'),
inference(demodulation,[status(thm)],[c574,d1]) ).
cnf(d3,plain,
'c$uSuc'('c$uNat$uOsize$u$uclass$uOsize'('v$uak','tc$uList$uOlist'('tc$uValue$uOval'))) = 'c$uNat$uOsize$u$uclass$uOsize'('c$uList$uOlist$uONil'('tc$uType$uOty'),'tc$uList$uOlist'('tc$uType$uOty')),
inference(demodulation,[status(thm)],[c594,c568]) ).
cnf(d4,plain,
'c$uSuc'('c$uNat$uOsize$u$uclass$uOsize'('v$uak','tc$uList$uOlist'('tc$uValue$uOval'))) = 'c$uOrderings$uObot$u$uclass$uObot'('tc$unat'),
inference(demodulation,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
'c$uSuc'(X0) != 'c$uOrderings$uObot$u$uclass$uObot'('tc$unat'),
inference(demodulation,[status(thm)],[c241,d1]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV925-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 15:15:16 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.15/4.31 % SZS status Unsatisfiable for theBenchmark.p
% 30.15/4.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------