%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV131+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 : n026.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 09:01:28 AM UTC 2026
% Result : Theorem 15.06s 7.52s
% Output : CNFRefutation 15.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 26 ( 8 avg)
% Number of connectives : 68 ( 17 ~; 1 |; 24 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_array_0001,conjecture,
( ( ( gt(loopcounter,n0)
=> leq('s$uworst7',n3) )
& ( gt(loopcounter,n0)
=> leq('s$usworst7',n3) )
& ( gt(loopcounter,n0)
=> leq('s$ubest7',n3) )
& ( gt(loopcounter,n0)
=> leq(n0,'s$uworst7') )
& ( gt(loopcounter,n0)
=> leq(n0,'s$usworst7') )
& ( gt(loopcounter,n0)
=> leq(n0,'s$ubest7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$uworst7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$usworst7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$ubest7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$uworst7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$usworst7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$ubest7') )
& ~ leq('tptp$ufloat$u0$u001',pv1341) )
=> leq(n0,'s$ubest7') ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> leq('s$uworst7',n3) )
& ( gt(loopcounter,n0)
=> leq('s$usworst7',n3) )
& ( gt(loopcounter,n0)
=> leq('s$ubest7',n3) )
& ( gt(loopcounter,n0)
=> leq(n0,'s$uworst7') )
& ( gt(loopcounter,n0)
=> leq(n0,'s$usworst7') )
& ( gt(loopcounter,n0)
=> leq(n0,'s$ubest7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$uworst7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$usworst7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$ubest7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$uworst7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$usworst7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$ubest7') )
& ~ leq('tptp$ufloat$u0$u001',pv1341) )
=> leq(n0,'s$ubest7') ),
inference(negate_conjecture,[status(cth)],[gauss_array_0001]) ).
cnf(c156,plain,
~ leq('tptp$ufloat$u0$u001',pv1341),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c157,plain,
( leq(n0,'s$ubest7')
| leq('tptp$ufloat$u0$u001',pv1341) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c169,plain,
~ leq(n0,'s$ubest7'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(n0,'s$ubest7'),
inference(resolution,[status(thm)],[c156,c157]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c169,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV131+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.57 % Computer : n026.cluster.edu
% 0.11/5.57 % Model : x86_64 x86_64
% 0.11/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.57 % Memory : 8046.5625MB
% 0.11/5.57 % OS : Linux 6.8.0-71-generic
% 0.11/5.57 % CPULimit : 300
% 0.11/5.57 % WCLimit : 300
% 0.11/5.57 % DateTime : Sat Sep 26 13:18:18 UTC 2026
% 0.11/5.57 % CPUTime :
% 0.11/5.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.06/7.52 % SZS status Theorem for theBenchmark.p
% 15.06/7.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------