%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW215+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 : n013.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 16.31s 5.62s
% Output : CNFRefutation 16.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 16 ~; 12 |; 0 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_H_I2_J,axiom,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','v$uda','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal')) ).
fof(fact_H_I5_J,axiom,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uw','v$uz')),'v$uda') ).
fof(fact_real__le__linear,axiom,
! [X0,X1] :
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,X1)
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,X0) ) ).
fof(fact_order__less__not__sym,axiom,
! [X0,X1,X2] :
( 'class$uOrderings$uOpreorder'(X2)
=> ( 'c$uOrderings$uOord$u$uclass$uOless'(X2,X1,X0)
=> ~ 'c$uOrderings$uOord$u$uclass$uOless'(X2,X0,X1) ) ) ).
fof(fact_order__le__less__trans,axiom,
! [X0,X1,X2,X3] :
( 'class$uOrderings$uOpreorder'(X3)
=> ( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'(X3,X2,X1)
=> ( 'c$uOrderings$uOord$u$uclass$uOless'(X3,X1,X0)
=> 'c$uOrderings$uOord$u$uclass$uOless'(X3,X2,X0) ) ) ) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
'class$uOrderings$uOpreorder'('tc$uRealDef$uOreal') ).
fof(conj_0,conjecture,
'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uw','v$uz')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal')) ).
fof(negated_conjecture,negated_conjecture,
~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uw','v$uz')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal')),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c2,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','v$uda','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal')),
inference(clausification,[status(esa)],[fact_H_I2_J]) ).
cnf(c3,plain,
'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uw','v$uz')),'v$uda'),
inference(clausification,[status(esa)],[fact_H_I5_J]) ).
cnf(c11,plain,
( 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X1,X0)
| 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal',X0,X1) ),
inference(clausification,[status(esa)],[fact_real__le__linear]) ).
cnf(c31,plain,
( ~ 'c$uOrderings$uOord$u$uclass$uOless'(X0,X2,X1)
| ~ 'c$uOrderings$uOord$u$uclass$uOless'(X0,X1,X2)
| ~ 'class$uOrderings$uOpreorder'(X0) ),
inference(clausification,[status(esa)],[fact_order__less__not__sym]) ).
cnf(c46,plain,
( 'c$uOrderings$uOord$u$uclass$uOless'(X0,X1,X3)
| ~ 'c$uOrderings$uOord$u$uclass$uOless'(X0,X2,X3)
| ~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'(X0,X1,X2)
| ~ 'class$uOrderings$uOpreorder'(X0) ),
inference(clausification,[status(esa)],[fact_order__le__less__trans]) ).
cnf(c1664,plain,
'class$uOrderings$uOpreorder'('tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(c1787,plain,
~ 'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uw','v$uz')),'c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal')),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'c$uOrderings$uOord$u$uclass$uOless$u$ueq'('tc$uRealDef$uOreal','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uw','v$uz'))),
inference(resolution,[status(thm)],[c11,c1787]) ).
cnf(d1,plain,
( ~ 'class$uOrderings$uOpreorder'('tc$uRealDef$uOreal')
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uRealVector$uOnorm$u$uclass$uOnorm'('tc$uComplex$uOcomplex','c$uGroups$uOminus$u$uclass$uOminus'('tc$uComplex$uOcomplex','v$uw','v$uz')),X0)
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),X0) ),
inference(resolution,[status(thm)],[c46,d0]) ).
cnf(d2,plain,
( ~ 'class$uOrderings$uOpreorder'('tc$uRealDef$uOreal')
| 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'),'v$uda') ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( ~ 'class$uOrderings$uOpreorder'('tc$uRealDef$uOreal')
| ~ 'c$uOrderings$uOord$u$uclass$uOless'('tc$uRealDef$uOreal','v$uda','c$uGroups$uOone$u$uclass$uOone'('tc$uRealDef$uOreal'))
| ~ 'class$uOrderings$uOpreorder'('tc$uRealDef$uOreal') ),
inference(resolution,[status(thm)],[d2,c31]) ).
cnf(d4,plain,
~ 'class$uOrderings$uOpreorder'('tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,c1664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW215+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.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 15:28:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.31/5.62 % SZS status Theorem for theBenchmark.p
% 16.31/5.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------