%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW263+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 09:11:36 AM UTC 2026
% Result : Theorem 21.89s 4.75s
% Output : CNFRefutation 21.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 6 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact__0960_A_060_At_A_094_Ak_096,axiom,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'v$ut'),'v$uk')) ).
fof(fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096,axiom,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),'v$ut'),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uw')),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uNat$uOnat','v$uk','c$uGroups$uOone$u$uclass$uOone'('tc$uNat$uOnat')))),'v$um')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal')) ).
fof(fact_mult__less__cancel__left__pos,axiom,
! [X0,X1,X2,X3] :
( 'class$uRings$uOlinordered$u$uring$u$ustrict'(X3)
=> ( 'c$uOrderings$uOord$u$uclass$uOless'(X3,'c$uGroups$uOzero$u$uclass$uOzero'(X3),X2)
=> ( 'c$uOrderings$uOord$u$uclass$uOless'(X3,hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'(X3),X2),X1),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'(X3),X2),X0))
<=> 'c$uOrderings$uOord$u$uclass$uOless'(X3,X1,X0) ) ) ) ).
fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
'class$uRings$uOlinordered$u$uring$u$ustrict'('tc$uRealDef$uOreal') ).
fof(conj_0,conjecture,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'v$ut'),'v$uk')),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),'v$ut'),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uw')),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uNat$uOnat','v$uk','c$uGroups$uOone$u$uclass$uOone'('tc$uNat$uOnat')))),'v$um'))),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'v$ut'),'v$uk')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'))) ).
fof(negated_conjecture,negated_conjecture,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'v$ut'),'v$uk')),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),'v$ut'),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uw')),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uNat$uOnat','v$uk','c$uGroups$uOone$u$uclass$uOone'('tc$uNat$uOnat')))),'v$um'))),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'v$ut'),'v$uk')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c5,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'v$ut'),'v$uk')),
inference(clausification,[status(esa)],[fact__0960_A_060_At_A_094_Ak_096]) ).
cnf(c6,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),'v$ut'),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uw')),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uNat$uOnat','v$uk','c$uGroups$uOone$u$uclass$uOone'('tc$uNat$uOnat')))),'v$um')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal')),
inference(clausification,[status(esa)],[fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096]) ).
cnf(c174,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless'(X0,X2,X3)
| 'c$uOrderings$uOord$u$uclass$uOless'(X0,hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'(X0),X1),X2),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'(X0),X1),X3))
| ~ 'c$uOrderings$uOord$u$uclass$uOless'(X0,'c$uGroups$uOzero$u$uclass$uOzero'(X0),X1)
| ~ 'class$uRings$uOlinordered$u$uring$u$ustrict'(X0) ),
inference(clausification,[status(esa)],[fact_mult__less__cancel__left__pos]) ).
cnf(c1510,plain,
'class$uRings$uOlinordered$u$uring$u$ustrict'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Rings_Olinordered__ring__strict]) ).
cnf(c1666,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'v$ut'),'v$uk')),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),'v$ut'),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uw')),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uNat$uOnat','v$uk','c$uGroups$uOone$u$uclass$uOone'('tc$uNat$uOnat')))),'v$um'))),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'v$ut'),'v$uk')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'class$uRings$uOlinordered$u$uring$u$ustrict'('tc$uRealDef$uOreal')
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOzero$u$uclass$uOzero'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'v$ut'),'v$uk'))
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),'v$ut'),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uw')),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uNat$uOnat','v$uk','c$uGroups$uOone$u$uclass$uOone'('tc$uNat$uOnat')))),'v$um')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal')) ),
inference(resolution,[status(thm)],[c1666,c174]) ).
cnf(d1,plain,
( ~ 'class$uRings$uOlinordered$u$uring$u$ustrict'('tc$uRealDef$uOreal')
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal',hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),'v$ut'),hAPP(hAPP('c$uGroups$uOtimes$u$uclass$uOtimes'('tc$uRealDef$uOreal'),hAPP(hAPP('c$uPower$uOpower$u$uclass$uOpower'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uw')),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uNat$uOnat','v$uk','c$uGroups$uOone$u$uclass$uOone'('tc$uNat$uOnat')))),'v$um')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal')) ),
inference(resolution,[status(thm)],[c5,d0]) ).
cnf(d2,plain,
~ 'class$uRings$uOlinordered$u$uring$u$ustrict'('tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c1510,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW263+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 15:39:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.89/4.75 % SZS status Theorem for theBenchmark.p
% 21.89/4.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------