%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ANA007-1 : 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 : n015.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 06:50:36 AM UTC 2026
% Result : Unsatisfiable 145.15s 22.46s
% Output : CNFRefutation 145.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 11 unt; 0 nHn; 16 RR)
% Number of literals : 33 ( 2 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$ulessequals'('c$uHOL$uOabs'('v$uf'('v$ux'(X0)),'t$ub'),'c$utimes'(X0,'c$uHOL$uOabs'('v$uf'('v$ux'(X0)),'t$ub'),'t$ub'),'t$ub') ).
cnf(tfree_tcs,negated_conjecture,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ub') ).
cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,
( 'c$utimes'('c$u1',X1,X0) = X1
| ~ 'class$uOrderedGroup$uOmonoid$u$umult'(X0) ) ).
cnf(cls_SetInterval_OgreaterThan__subset__iff_0,axiom,
( 'c$ulessequals'(X2,X1,X0)
| ~ 'c$ulessequals'('c$uSetInterval$uOgreaterThan'(X1,X0),'c$uSetInterval$uOgreaterThan'(X2,X0),'tc$uset'(X0))
| ~ 'class$uOrderings$uOlinorder'(X0) ) ).
cnf(cls_Set_Osubset__refl_0,axiom,
'c$ulessequals'(X0,X0,'tc$uset'(X1)) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_12,axiom,
( 'class$uOrderedGroup$uOmonoid$u$umult'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( 'class$uOrderings$uOlinorder'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ) ).
cnf(c2,plain,
~ 'c$ulessequals'('c$uHOL$uOabs'('v$uf'('v$ux'(X0)),'t$ub'),'c$utimes'(X0,'c$uHOL$uOabs'('v$uf'('v$ux'(X0)),'t$ub'),'t$ub'),'t$ub'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c3,plain,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ub'),
inference(clausification,[status(esa)],[tfree_tcs]) ).
cnf(c1114,plain,
( 'c$utimes'('c$u1',X1,X0) = X1
| ~ 'class$uOrderedGroup$uOmonoid$u$umult'(X0) ),
inference(clausification,[status(esa)],[cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0]) ).
cnf(c1457,plain,
( 'c$ulessequals'(X2,X1,X0)
| ~ 'c$ulessequals'('c$uSetInterval$uOgreaterThan'(X1,X0),'c$uSetInterval$uOgreaterThan'(X2,X0),'tc$uset'(X0))
| ~ 'class$uOrderings$uOlinorder'(X0) ),
inference(clausification,[status(esa)],[cls_SetInterval_OgreaterThan__subset__iff_0]) ).
cnf(c1736,plain,
'c$ulessequals'(X0,X0,'tc$uset'(X1)),
inference(clausification,[status(esa)],[cls_Set_Osubset__refl_0]) ).
cnf(c2424,plain,
( 'class$uOrderedGroup$uOmonoid$u$umult'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ),
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_12]) ).
cnf(c2447,plain,
( 'class$uOrderings$uOlinorder'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ),
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_33]) ).
cnf(d0,plain,
( ~ 'class$uOrderings$uOlinorder'(X1)
| 'c$ulessequals'(X0,X0,X1) ),
inference(resolution,[status(thm)],[c1457,c1736]) ).
cnf(d1,plain,
( ~ 'class$uOrderedGroup$uOmonoid$u$umult'('t$ub')
| ~ 'c$ulessequals'('c$uHOL$uOabs'('v$uf'('v$ux'('c$u1')),'t$ub'),'c$uHOL$uOabs'('v$uf'('v$ux'('c$u1')),'t$ub'),'t$ub') ),
inference(superposition,[status(thm)],[c1114,c2]) ).
cnf(d2,plain,
'class$uOrderedGroup$uOmonoid$u$umult'('t$ub'),
inference(resolution,[status(thm)],[c2424,c3]) ).
cnf(d3,plain,
~ 'c$ulessequals'('c$uHOL$uOabs'('v$uf'('v$ux'('c$u1')),'t$ub'),'c$uHOL$uOabs'('v$uf'('v$ux'('c$u1')),'t$ub'),'t$ub'),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
~ 'class$uOrderings$uOlinorder'('t$ub'),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
'class$uOrderings$uOlinorder'('t$ub'),
inference(resolution,[status(thm)],[c2447,c3]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA007-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.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 22:07:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 145.15/22.46 % SZS status Unsatisfiable for theBenchmark.p
% 145.15/22.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------