%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV023+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 : n020.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 24.00s 3.61s
% Output : CNFRefutation 24.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 26 ( 8 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 22 ( 2 ~; 0 |; 12 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ttrue,axiom,
true ).
fof(gauss_init_0005,conjecture,
( ( ! [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$uinit',X1,X0) = init ) )
& 'sigma$uinit' = init
& 'i0$uinit' = init )
=> true ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2] :
( ( leq(X2,n3)
& leq(n0,X2) )
=> 'a$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 ) )
& 'sigma$uinit' = init
& 'i0$uinit' = init )
=> true ),
inference(negate_conjecture,[status(cth)],[gauss_init_0005]) ).
cnf(c154,plain,
true,
inference(clausification,[status(esa)],[ttrue]) ).
cnf(c160,plain,
~ true,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c160,c154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV023+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n020.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Sat Sep 26 13:06:48 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.00/3.61 % SZS status Theorem for theBenchmark.p
% 24.00/3.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------