%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW219+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 : n009.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 33.65s 14.13s
% Output : CNFRefutation 33.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 3 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 9 ( 1 sgn 4 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096,axiom,
? [X0] :
! [X1] :
( 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),hAPP(X0,X1))),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'c$uRealDef$uOreal'('tc$uNat$uOnat','c$uNat$uOSuc'(X1)))))
& 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP(X0,X1)),'v$ur') ) ).
fof(conj_0,hypothesis,
! [X0] :
( ! [X1] : 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP(X0,X1)),'v$ur')
=> ( ! [X1] : 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),hAPP(X0,X1))),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'c$uRealDef$uOreal'('tc$uNat$uOnat','c$uNat$uOSuc'(X1)))))
=> 'v$uthesis' ) ) ).
fof(conj_1,conjecture,
'v$uthesis' ).
fof(negated_conjecture,negated_conjecture,
~ 'v$uthesis',
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(c4,plain,
'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP(sK6,X0)),'v$ur'),
inference(clausification,[status(esa)],[fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096]) ).
cnf(c5,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),hAPP(sK6,X0))),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'c$uRealDef$uOreal'('tc$uNat$uOnat','c$uNat$uOSuc'(X0))))),
inference(clausification,[status(esa)],[fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096]) ).
cnf(c1806,plain,
( 'v$uthesis'
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),hAPP(X0,sK2939(X0)))),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'c$uRealDef$uOreal'('tc$uNat$uOnat','c$uNat$uOSuc'(sK2939(X0))))))
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP(X0,sK2938(X0))),'v$ur') ),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c1807,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','v$up'),hAPP(X0,sK2939(X0)))),'c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','c$uGroups$uOuminus$u$uclass$uOuminus'('tc$uRealDef$uOreal','v$us'),'c$uRings$uOinverse$u$uclass$uOdivide'('tc$uRealDef$uOreal','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'c$uRealDef$uOreal'('tc$uNat$uOnat','c$uNat$uOSuc'(sK2939(X0))))))
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP(X0,sK2938(X0))),'v$ur') ),
inference(resolution,[status(thm)],[c1807,c1806]) ).
cnf(d1,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP(sK6,sK2938(sK6))),'v$ur'),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c4,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW219+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
% 0.09/5.38 % Computer : n009.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sat Sep 26 15:29:35 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 33.65/14.13 % SZS status Theorem for theBenchmark.p
% 33.65/14.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------