%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV181+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 09:01:35 AM UTC 2026
% Result : Theorem 15.72s 17.90s
% Output : CNFRefutation 15.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 77 ( 17 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 69 ( 8 ~; 7 |; 30 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(transitivity_gt,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ).
fof(irreflexivity_gt,axiom,
! [X0] : ~ gt(X0,X0) ).
fof(leq_gt2,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ) ).
fof(cl5_nebula_init_0081,conjecture,
( ( ( gt(loopcounter,n0)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect2'('sigma$uinit',X5) = init ) )
& ( gt(loopcounter,n0)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> 'a$uselect2'('rho$uinit',X4) = init ) )
& ( gt(loopcounter,n0)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> 'a$uselect2'('mu$uinit',X3) = init ) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect3'('center$uinit',X2,n0) = init )
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq('tptp$ufloat$u0$u001',pv76) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('muold$uinit',X6) = init ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$uselect2'('sigma$uinit',X5) = init ) )
& ( gt(loopcounter,n0)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> 'a$uselect2'('rho$uinit',X4) = init ) )
& ( gt(loopcounter,n0)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> 'a$uselect2'('mu$uinit',X3) = init ) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> 'a$uselect3'('center$uinit',X2,n0) = init )
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> 'a$uselect3'('q$uinit',X0,X1) = init ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq('tptp$ufloat$u0$u001',pv76) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('muold$uinit',X6) = init ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0081]) ).
cnf(c40,plain,
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_gt]) ).
cnf(c41,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[irreflexivity_gt]) ).
cnf(c49,plain,
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt2]) ).
cnf(c164,plain,
leq(n1,loopcounter),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
gt(n1,loopcounter),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( gt(n1,X0)
| ~ gt(loopcounter,X0) ),
inference(resolution,[status(thm)],[c40,c165]) ).
cnf(d1,plain,
( gt(loopcounter,n1)
| n1 = loopcounter ),
inference(resolution,[status(thm)],[c49,c164]) ).
cnf(d2,plain,
( gt(n1,n1)
| n1 = loopcounter ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
n1 = loopcounter,
inference(resolution,[status(thm)],[c41,d2]) ).
cnf(d4,plain,
gt(n1,n1),
inference(demodulation,[status(thm)],[c165,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c41,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV181+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
% 0.09/15.57 % Computer : n012.cluster.edu
% 0.09/15.57 % Model : x86_64 x86_64
% 0.09/15.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.57 % Memory : 8046.5625MB
% 0.09/15.57 % OS : Linux 6.8.0-71-generic
% 0.09/15.57 % CPULimit : 300
% 0.09/15.57 % WCLimit : 300
% 0.09/15.58 % DateTime : Sat Sep 26 13:18:35 UTC 2026
% 0.09/15.58 % CPUTime :
% 0.09/15.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.72/17.90 % SZS status Theorem for theBenchmark.p
% 15.72/17.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------