%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV136+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 : n015.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 09:01:29 AM UTC 2026
% Result : Theorem 35.92s 5.08s
% Output : CNFRefutation 35.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 53 ( 7 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 42 ( 9 ~; 10 |; 18 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gt_2_0,axiom,
gt(n2,n0) ).
fof(transitivity_gt,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ).
fof(leq_gt1,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ) ).
fof(leq_gt2,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ) ).
fof(gauss_array_0006,conjecture,
( ( leq('a$uselect2'('s$uvalues7',pv1325),'a$uselect2'('s$uvalues7','s$ubest7'))
& leq(pv1325,n3)
& leq('s$uworst7',n3)
& leq('s$usworst7',n3)
& leq('s$ubest7',n3)
& leq(n2,pv1325)
& leq(n0,'s$uworst7')
& leq(n0,'s$usworst7')
& leq(n0,'s$ubest7') )
=> leq(n0,pv1325) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( leq('a$uselect2'('s$uvalues7',pv1325),'a$uselect2'('s$uvalues7','s$ubest7'))
& leq(pv1325,n3)
& leq('s$uworst7',n3)
& leq('s$usworst7',n3)
& leq('s$ubest7',n3)
& leq(n2,pv1325)
& leq(n0,'s$uworst7')
& leq(n0,'s$usworst7')
& leq(n0,'s$ubest7') )
=> leq(n0,pv1325) ),
inference(negate_conjecture,[status(cth)],[gauss_array_0006]) ).
cnf(c10,plain,
gt(n2,n0),
inference(clausification,[status(esa)],[gt_2_0]) ).
cnf(c33,plain,
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_gt]) ).
cnf(c41,plain,
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt1]) ).
cnf(c42,plain,
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt2]) ).
cnf(c159,plain,
leq(n2,pv1325),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
~ leq(n0,pv1325),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( gt(pv1325,n2)
| n2 = pv1325 ),
inference(resolution,[status(thm)],[c42,c159]) ).
cnf(d1,plain,
( gt(pv1325,X0)
| ~ gt(n2,X0)
| n2 = pv1325 ),
inference(resolution,[status(thm)],[d0,c33]) ).
cnf(d2,plain,
( gt(pv1325,n0)
| n2 = pv1325 ),
inference(resolution,[status(thm)],[d1,c10]) ).
cnf(d3,plain,
( leq(n0,pv1325)
| n2 = pv1325 ),
inference(resolution,[status(thm)],[d2,c41]) ).
cnf(d4,plain,
n2 = pv1325,
inference(resolution,[status(thm)],[c165,d3]) ).
cnf(d5,plain,
~ leq(n0,n2),
inference(demodulation,[status(thm)],[c165,d4]) ).
cnf(d6,plain,
leq(n0,n2),
inference(resolution,[status(thm)],[c41,c10]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV136+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
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 13:18:15 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.92/5.08 % SZS status Theorem for theBenchmark.p
% 35.92/5.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------