%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ANA024-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 06:50:39 AM UTC 2026
% Result : Unsatisfiable 136.99s 19.66s
% Output : CNFRefutation 136.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 12 unt; 0 nHn; 22 RR)
% Number of literals : 47 ( 2 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Ocompare__rls__11_0,axiom,
( 'c$uplus'('c$uminus'(X1,X2,X0),X2,X0) = X1
| ~ 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'(X0) ) ).
cnf(cls_OrderedGroup_Ocompare__rls__8_1,axiom,
( 'c$ulessequals'('c$uminus'(X1,X3,X0),X2,X0)
| ~ 'c$ulessequals'(X1,'c$uplus'(X2,X3,X0),X0)
| ~ 'class$uOrderedGroup$uOpordered$u$uab$u$ugroup$u$uadd'(X0) ) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$ulessequals'('v$uk'(X0),'v$uf'(X0),'t$ub') ).
cnf(cls_conjecture_3,negated_conjecture,
~ 'c$ulessequals'('c$uminus'('v$uk'('v$ux'),'v$ug'('v$ux'),'t$ub'),'c$uminus'('v$uf'('v$ux'),'v$ug'('v$ux'),'t$ub'),'t$ub') ).
cnf(tfree_tcs,negated_conjecture,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ub') ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_0,axiom,
( 'class$uOrderedGroup$uOpordered$u$uab$u$ugroup$u$uadd'(X0)
| ~ 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup'(X0) ) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group_1,axiom,
( 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'(X0)
| ~ 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup'(X0) ) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_0,axiom,
( 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup'(X0)
| ~ 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ) ).
cnf(c2,plain,
( 'c$uplus'('c$uminus'(X1,X2,X0),X2,X0) = X1
| ~ 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[cls_OrderedGroup_Ocompare__rls__11_0]) ).
cnf(c14,plain,
( 'c$ulessequals'('c$uminus'(X1,X3,X0),X2,X0)
| ~ 'c$ulessequals'(X1,'c$uplus'(X2,X3,X0),X0)
| ~ 'class$uOrderedGroup$uOpordered$u$uab$u$ugroup$u$uadd'(X0) ),
inference(clausification,[status(esa)],[cls_OrderedGroup_Ocompare__rls__8_1]) ).
cnf(c25,plain,
'c$ulessequals'('v$uk'(X0),'v$uf'(X0),'t$ub'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c27,plain,
~ 'c$ulessequals'('c$uminus'('v$uk'('v$ux'),'v$ug'('v$ux'),'t$ub'),'c$uminus'('v$uf'('v$ux'),'v$ug'('v$ux'),'t$ub'),'t$ub'),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c28,plain,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ub'),
inference(clausification,[status(esa)],[tfree_tcs]) ).
cnf(c1968,plain,
( 'class$uOrderedGroup$uOpordered$u$uab$u$ugroup$u$uadd'(X0)
| ~ 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup'(X0) ),
inference(clausification,[status(esa)],[clsrel_OrderedGroup_Olordered__ab__group_0]) ).
cnf(c1969,plain,
( 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'(X0)
| ~ 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup'(X0) ),
inference(clausification,[status(esa)],[clsrel_OrderedGroup_Olordered__ab__group_1]) ).
cnf(c1986,plain,
( 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup'(X0)
| ~ 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0) ),
inference(clausification,[status(esa)],[clsrel_OrderedGroup_Olordered__ab__group__abs_0]) ).
cnf(c2491,plain,
( 'class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ),
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_50]) ).
cnf(d0,plain,
( ~ 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'(X2)
| 'c$ulessequals'('c$uminus'(X3,X1,X2),'c$uminus'(X0,X1,X2),X2)
| ~ 'class$uOrderedGroup$uOpordered$u$uab$u$ugroup$u$uadd'(X2)
| ~ 'c$ulessequals'(X3,X0,X2) ),
inference(superposition,[status(thm)],[c2,c14]) ).
cnf(d1,plain,
( ~ 'c$ulessequals'('v$uk'('v$ux'),'v$uf'('v$ux'),'t$ub')
| ~ 'class$uOrderedGroup$uOpordered$u$uab$u$ugroup$u$uadd'('t$ub')
| ~ 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'('t$ub') ),
inference(resolution,[status(thm)],[d0,c27]) ).
cnf(d2,plain,
( ~ 'class$uOrderedGroup$uOpordered$u$uab$u$ugroup$u$uadd'('t$ub')
| ~ 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'('t$ub') ),
inference(resolution,[status(thm)],[c25,d1]) ).
cnf(d3,plain,
'class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'('t$ub'),
inference(resolution,[status(thm)],[c2491,c28]) ).
cnf(d4,plain,
'class$uOrderedGroup$uOlordered$u$uab$u$ugroup'('t$ub'),
inference(resolution,[status(thm)],[d3,c1986]) ).
cnf(d5,plain,
'class$uOrderedGroup$uOpordered$u$uab$u$ugroup$u$uadd'('t$ub'),
inference(resolution,[status(thm)],[c1968,d4]) ).
cnf(d6,plain,
~ 'class$uOrderedGroup$uOab$u$ugroup$u$uadd'('t$ub'),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
'class$uOrderedGroup$uOab$u$ugroup$u$uadd'('t$ub'),
inference(resolution,[status(thm)],[c1969,d4]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA024-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.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 22:06:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 136.99/19.66 % SZS status Unsatisfiable for theBenchmark.p
% 136.99/19.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------