%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW232+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 : n006.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 09:11:33 AM UTC 2026
% Result : Theorem 69.24s 15.84s
% Output : CNFRefutation 69.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 24 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 17 ( 3 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_H,axiom,
'v$ucs' != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) ).
fof(fact_pCons_Ohyps,axiom,
! [X0,X1] :
( 'v$ucs' != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex'))
=> ? [X2] :
! [X3] :
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X2,'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',X3))
=> 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','c$uPolynomial$uOpCons'('tc$uComplex$uOcomplex',X0,'v$ucs')),X3))) ) ) ).
fof(conj_0,hypothesis,
( ? [X0] :
! [X1] :
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',X1))
=> 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','v$uda','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uaa')),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','c$uPolynomial$uOpCons'('tc$uComplex$uOcomplex','v$uc','v$ucs')),X1))) )
=> 'v$uthesis' ) ).
fof(conj_1,conjecture,
'v$uthesis' ).
fof(negated_conjecture,negated_conjecture,
~ 'v$uthesis',
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(c1,plain,
'v$ucs' != 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')),
inference(clausification,[status(esa)],[fact_H]) ).
cnf(c3,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','c$uPolynomial$uOpCons'('tc$uComplex$uOcomplex',X0,'v$ucs')),X2)))
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',sK5(X0,X1),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',X2))
| 'v$ucs' = 'c$uGroups$uOzero$u$uclass$uOzero'('tc$uPolynomial$uOpoly'('tc$uComplex$uOcomplex')) ),
inference(clausification,[status(esa)],[fact_pCons_Ohyps]) ).
cnf(c669,plain,
( 'v$uthesis'
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',sK1280(X0))) ),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c670,plain,
( 'v$uthesis'
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','v$uda','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uaa')),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','c$uPolynomial$uOpCons'('tc$uComplex$uOcomplex','v$uc','v$ucs')),sK1280(X0)))) ),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c671,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',sK1280(X0))),
inference(resolution,[status(thm)],[c671,c669]) ).
cnf(d1,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',sK5(X1,X0),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',X2))
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','c$uPolynomial$uOpCons'('tc$uComplex$uOcomplex',X1,'v$ucs')),X2))) ),
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(d2,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','v$uda','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uaa')),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',hAPP('c$uPolynomial$uOpoly'('tc$uComplex$uOcomplex','c$uPolynomial$uOpCons'('tc$uComplex$uOcomplex','v$uc','v$ucs')),sK1280(X0)))),
inference(resolution,[status(thm)],[c671,c670]) ).
cnf(d3,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',sK5('v$uc','c$uGroups$uOplus$u$uclass$uOplus'('tc$uRealDef$uOreal','v$uda','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','v$uaa'))),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex',sK1280(X0))),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW232+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n006.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 15:29:55 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 69.24/15.84 % SZS status Theorem for theBenchmark.p
% 69.24/15.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------