%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW216+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 09:11:32 AM UTC 2026
% Result : Theorem 51.30s 21.18s
% Output : CNFRefutation 51.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 14 unt; 0 def)
% Number of atoms : 31 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 9 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_m_I1_J,axiom,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$um') ).
fof(fact_H_I3_J,axiom,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','v$uda','c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','v$ue','v$um')) ).
fof(fact_real__mult__commute,axiom,
! [X0,X1] : hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal',X1),X0) = hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal',X0),X1) ).
fof(fact_pos__less__divide__eq,axiom,
! [X0,X1,X2,X3] :
( 'class$uFields$uOlinordered$u$ufield'(X3)
=> ( 'c$uOrderings$uOord$u$uclass$uOless'(X3,'c$uGroups$uOzero$u$uclass$uOzero'(X3),X2)
=> ( 'c$uOrderings$uOord$u$uclass$uOless'(X3,X1,'c$uRings$uOinverse$u$uclass$uOdivide'(X3,X0,X2))
<=> 'c$uOrderings$uOord$u$uclass$uOless'(X3,hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'(X3,X1),X2),X0) ) ) ) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
'class$uFields$uOlinordered$u$ufield'('tc$uRealDef$uOreal') ).
fof(conj_0,conjecture,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal','v$uda'),'v$um'),'v$ue') ).
fof(negated_conjecture,negated_conjecture,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal','v$uda'),'v$um'),'v$ue'),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c1,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$um'),
inference(clausification,[status(esa)],[fact_m_I1_J]) ).
cnf(c2,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','v$uda','c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','v$ue','v$um')),
inference(clausification,[status(esa)],[fact_H_I3_J]) ).
cnf(c10,plain,
hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal',X0),X1) = hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal',X1),X0),
inference(clausification,[status(esa)],[fact_real__mult__commute]) ).
cnf(c56,plain,
( 'c$uOrderings$uOord$u$uclass$uOless'(X0,hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'(X0,X2),X1),X3)
| ~ 'c$uOrderings$uOord$u$uclass$uOless'(X0,X2,'c$uRings$uOinverse$u$uclass$uOdivide'(X0,X3,X1))
| ~ 'c$uOrderings$uOord$u$uclass$uOless'(X0,'c$uGroups$uOzero$u$uclass$uOzero'(X0),X1)
| ~ 'class$uFields$uOlinordered$u$ufield'(X0) ),
inference(clausification,[status(esa)],[fact_pos__less__divide__eq]) ).
cnf(c1708,plain,
'class$uFields$uOlinordered$u$ufield'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Fields_Olinordered__field]) ).
cnf(c1824,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal','v$uda'),'v$um'),'v$ue'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal','v$um'),'v$uda'),'v$ue'),
inference(demodulation,[status(thm)],[c1824,c10]) ).
cnf(d1,plain,
( ~ 'class$uFields$uOlinordered$u$ufield'('tc$uRealDef$uOreal')
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),X1)
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal',X2,X1))
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal',X1),X0),X2) ),
inference(superposition,[status(thm)],[c10,c56]) ).
cnf(d2,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),X2)
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal',X2),X0),X1)
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',X0,'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal',X1,X2)) ),
inference(resolution,[status(thm)],[c1708,d1]) ).
cnf(d3,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),'v$um')
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','v$uda','c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','v$ue','v$um')) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','v$uda','c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','v$ue','v$um')),
inference(resolution,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c2,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW216+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n017.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sat Sep 26 15:24:30 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.30/21.18 % SZS status Theorem for theBenchmark.p
% 51.30/21.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------