%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ANA045-1 : 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 : n002.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 06:50:43 AM UTC 2026
% Result : Unsatisfiable 61.53s 9.69s
% Output : CNFRefutation 61.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 13 RR)
% Number of literals : 26 ( 3 equ; 12 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$ulessequals'('c$u0','c$utimes'(X0,'c$uHOL$uOabs'('v$ug'('v$ux'(X0)),'t$ub'),'t$ub'),'t$ub') ).
cnf(tfree_tcs,negated_conjecture,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ub') ).
cnf(cls_Ring__and__Field_Omult__cancel__left1_1,axiom,
( 'c$u0' = 'c$utimes'('c$u0',X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( 'c$ulessequals'(X1,X1,X0)
| ~ 'class$uOrderings$uOorder'(X0) ) ).
cnf(clsrel_Orderings_Olinorder_4,axiom,
( 'class$uOrderings$uOorder'(X0)
| ~ 'class$uOrderings$uOlinorder'(X0) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( 'class$uOrderings$uOlinorder'(X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ) ).
cnf(c2,plain,
~ 'c$ulessequals'('c$u0','c$utimes'(X0,'c$uHOL$uOabs'('v$ug'('v$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(c1366,plain,
( 'c$u0' = 'c$utimes'('c$u0',X1,X0)
| ~ 'class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0) ),
inference(clausification,[status(esa)],[cls_Ring__and__Field_Omult__cancel__left1_1]) ).
cnf(c1692,plain,
( 'c$ulessequals'(X1,X1,X0)
| ~ 'class$uOrderings$uOorder'(X0) ),
inference(clausification,[status(esa)],[cls_Orderings_Oorder__class_Oaxioms__1_0]) ).
cnf(c2077,plain,
( 'class$uOrderings$uOorder'(X0)
| ~ 'class$uOrderings$uOlinorder'(X0) ),
inference(clausification,[status(esa)],[clsrel_Orderings_Olinorder_4]) ).
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,
'c$u0' = 'c$utimes'('c$u0',X0,'t$ub'),
inference(resolution,[status(thm)],[c1366,c3]) ).
cnf(d1,plain,
~ 'c$ulessequals'('c$u0','c$u0','t$ub'),
inference(superposition,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
~ 'class$uOrderings$uOorder'('t$ub'),
inference(resolution,[status(thm)],[d1,c1692]) ).
cnf(d3,plain,
'class$uOrderings$uOlinorder'('t$ub'),
inference(resolution,[status(thm)],[c2447,c3]) ).
cnf(d4,plain,
'class$uOrderings$uOorder'('t$ub'),
inference(resolution,[status(thm)],[d3,c2077]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA045-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 22:12:53 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.53/9.69 % SZS status Unsatisfiable for theBenchmark.p
% 61.53/9.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------