%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV027+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 09:01:16 AM UTC 2026
% Result : Theorem 21.24s 3.09s
% Output : CNFRefutation 21.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 3 ( 1 unt; 0 def)
% Number of atoms : 137 ( 44 equ)
% Maximal formula atoms : 68 ( 45 avg)
% Number of connectives : 135 ( 1 ~; 0 |; 108 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 17 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 24 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_init_0021,conjecture,
( ( ( gt(loopcounter,n1)
=> ( 'pvar1402$uinit' = init
& 'pvar1401$uinit' = init
& 'pvar1400$uinit' = init ) )
& ! [X4] :
( ( leq(X4,minus(n3,n1))
& leq(n0,X4) )
=> 'a$uselect2'('s$utry7$uinit',X4) = init )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> 'a$uselect2'('s$ucenter7$uinit',X3) = init )
& ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> 'a$uselect2'('s$uvalues7$uinit',X2) = init )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n3)
& leq(n0,X1) )
=> 'a$uselect3'('simplex7$uinit',X1,X0) = init ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq('s$uworst7',n3)
& leq('s$usworst7',n3)
& leq('s$ubest7',n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,'s$uworst7')
& leq(n0,'s$usworst7')
& leq(n0,'s$ubest7')
& 's$uworst7$uinit' = init
& 's$usworst7$uinit' = init
& 's$ubest7$uinit' = init
& init = init )
=> ( ( gt(loopcounter,n1)
=> ( 'pvar1402$uinit' = init
& 'pvar1401$uinit' = init
& 'pvar1400$uinit' = init ) )
& ! [X9] :
( ( leq(X9,minus(n3,n1))
& leq(n0,X9) )
=> 'a$uselect2'('s$utry7$uinit',X9) = init )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> 'a$uselect2'('s$ucenter7$uinit',X8) = init )
& ! [X7] :
( ( leq(X7,n3)
& leq(n0,X7) )
=> 'a$uselect2'('s$uvalues7$uinit',X7) = init )
& ! [X5] :
( ( leq(X5,n2)
& leq(n0,X5) )
=> ! [X6] :
( ( leq(X6,n3)
& leq(n0,X6) )
=> 'a$uselect3'('simplex7$uinit',X6,X5) = init ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq('s$uworst7',n3)
& leq('s$usworst7',n3)
& leq('s$ubest7',n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,'s$uworst7')
& leq(n0,'s$usworst7')
& leq(n0,'s$ubest7')
& 's$uworst7$uinit' = init
& 's$usworst7$uinit' = init
& 's$ubest7$uinit' = init
& init = init ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( 'pvar1402$uinit' = init
& 'pvar1401$uinit' = init
& 'pvar1400$uinit' = init ) )
& ! [X4] :
( ( leq(X4,minus(n3,n1))
& leq(n0,X4) )
=> 'a$uselect2'('s$utry7$uinit',X4) = init )
& ! [X3] :
( ( leq(X3,n2)
& leq(n0,X3) )
=> 'a$uselect2'('s$ucenter7$uinit',X3) = init )
& ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> 'a$uselect2'('s$uvalues7$uinit',X2) = init )
& ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n3)
& leq(n0,X1) )
=> 'a$uselect3'('simplex7$uinit',X1,X0) = init ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq('s$uworst7',n3)
& leq('s$usworst7',n3)
& leq('s$ubest7',n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,'s$uworst7')
& leq(n0,'s$usworst7')
& leq(n0,'s$ubest7')
& 's$uworst7$uinit' = init
& 's$usworst7$uinit' = init
& 's$ubest7$uinit' = init
& init = init )
=> ( ( gt(loopcounter,n1)
=> ( 'pvar1402$uinit' = init
& 'pvar1401$uinit' = init
& 'pvar1400$uinit' = init ) )
& ! [X9] :
( ( leq(X9,minus(n3,n1))
& leq(n0,X9) )
=> 'a$uselect2'('s$utry7$uinit',X9) = init )
& ! [X8] :
( ( leq(X8,n2)
& leq(n0,X8) )
=> 'a$uselect2'('s$ucenter7$uinit',X8) = init )
& ! [X7] :
( ( leq(X7,n3)
& leq(n0,X7) )
=> 'a$uselect2'('s$uvalues7$uinit',X7) = init )
& ! [X5] :
( ( leq(X5,n2)
& leq(n0,X5) )
=> ! [X6] :
( ( leq(X6,n3)
& leq(n0,X6) )
=> 'a$uselect3'('simplex7$uinit',X6,X5) = init ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq('s$uworst7',n3)
& leq('s$usworst7',n3)
& leq('s$ubest7',n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,'s$uworst7')
& leq(n0,'s$usworst7')
& leq(n0,'s$ubest7')
& 's$uworst7$uinit' = init
& 's$usworst7$uinit' = init
& 's$ubest7$uinit' = init
& init = init ) ),
inference(negate_conjecture,[status(cth)],[gauss_init_0021]) ).
cnf(c171,plain,
$false,
inference(clausification,[status(esa)],[negated_conjecture]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV027+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 13:07:34 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.24/3.09 % SZS status Theorem for theBenchmark.p
% 21.24/3.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------