%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV182+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 : n010.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 21.51s 4.01s
% Output : CNFRefutation 21.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 18 unt; 0 def)
% Number of atoms : 115 ( 24 equ)
% Maximal formula atoms : 25 ( 2 avg)
% Number of connectives : 97 ( 21 ~; 23 |; 28 &)
% ( 1 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gt_1_0,axiom,
gt(n1,n0) ).
fof(successor_1,axiom,
succ(n0) = n1 ).
fof(totality,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ).
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(transitivity_leq,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ).
fof(leq_gt_pred,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ) ).
fof(gt_succ,axiom,
! [X0] : gt(succ(X0),X0) ).
fof(cl5_nebula_init_0086,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 ) )
& leq(n1,loopcounter)
& leq('tptp$ufloat$u0$u001',pv76) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('rho$uinit',X6) = init ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> 'a$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$uinit',X0,X1) = init ) )
& leq(n1,loopcounter)
& leq('tptp$ufloat$u0$u001',pv76) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> 'a$uselect2'('rho$uinit',X6) = init ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_init_0086]) ).
cnf(c13,plain,
gt(n1,n0),
inference(clausification,[status(esa)],[gt_1_0]) ).
cnf(c36,plain,
succ(n0) = n1,
inference(clausification,[status(esa)],[successor_1]) ).
cnf(c39,plain,
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(clausification,[status(esa)],[totality]) ).
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(c43,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_leq]) ).
cnf(c50,plain,
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c51,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c52,plain,
gt(succ(X0),X0),
inference(clausification,[status(esa)],[gt_succ]) ).
cnf(c164,plain,
leq(n1,loopcounter),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
( 'a$uselect2'('rho$uinit',X0) = init
| ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(loopcounter,n0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c170,plain,
leq(n0,sK187),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c171,plain,
leq(sK187,n4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c172,plain,
'a$uselect2'('rho$uinit',sK187) != init,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(sK187,n4)
| ~ gt(loopcounter,n0)
| 'a$uselect2'('rho$uinit',sK187) = init ),
inference(resolution,[status(thm)],[c168,c170]) ).
cnf(d1,plain,
( ~ gt(loopcounter,n0)
| 'a$uselect2'('rho$uinit',sK187) = init ),
inference(resolution,[status(thm)],[c171,d0]) ).
cnf(d2,plain,
~ gt(loopcounter,n0),
inference(resolution,[status(thm)],[c172,d1]) ).
cnf(d3,plain,
( gt(n0,loopcounter)
| loopcounter = n0 ),
inference(resolution,[status(thm)],[c39,d2]) ).
cnf(d4,plain,
( leq(n1,X0)
| ~ leq(loopcounter,X0) ),
inference(resolution,[status(thm)],[c43,c164]) ).
cnf(d5,plain,
( ~ gt(X0,loopcounter)
| leq(n1,pred(X0)) ),
inference(resolution,[status(thm)],[d4,c51]) ).
cnf(d6,plain,
( gt(X0,n1)
| ~ gt(X0,loopcounter) ),
inference(resolution,[status(thm)],[d5,c50]) ).
cnf(d7,plain,
( loopcounter = n0
| gt(n0,n1) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( gt(n1,X0)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[c40,c13]) ).
cnf(d9,plain,
( loopcounter = n0
| gt(n1,n1) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
loopcounter = n0,
inference(resolution,[status(thm)],[c41,d9]) ).
cnf(d11,plain,
gt(succ(loopcounter),n1),
inference(resolution,[status(thm)],[d6,c52]) ).
cnf(d12,plain,
gt(succ(n0),n1),
inference(demodulation,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
gt(n1,n1),
inference(demodulation,[status(thm)],[d12,c36]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c41,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV182+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
% 0.10/0.34 % Computer : n010.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sat Sep 26 13:18:45 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.51/4.01 % SZS status Theorem for theBenchmark.p
% 21.51/4.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------