%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV151+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 09:01:31 AM UTC 2026
% Result : Theorem 20.57s 8.47s
% Output : CNFRefutation 20.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 47 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 14 ~; 11 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gt_0_tptp_minus_1,axiom,
gt(n0,'tptp$uminus$u1') ).
fof(finite_domain_0,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> X0 = n0 ) ).
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_gt1,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ) ).
fof(leq_gt_pred,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ) ).
fof(cl5_nebula_norm_0001,conjecture,
! [X0] :
( ( leq(X0,'tptp$uminus$u1')
& leq(n0,X0) )
=> sum(n0,n4,'a$uselect3'(q,X0,'tptp$usum$uindex')) = n1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( leq(X0,'tptp$uminus$u1')
& leq(n0,X0) )
=> sum(n0,n4,'a$uselect3'(q,X0,'tptp$usum$uindex')) = n1 ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_norm_0001]) ).
cnf(c3,plain,
gt(n0,'tptp$uminus$u1'),
inference(clausification,[status(esa)],[gt_0_tptp_minus_1]) ).
cnf(c23,plain,
( X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[finite_domain_0]) ).
cnf(c34,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[irreflexivity_gt]) ).
cnf(c36,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_leq]) ).
cnf(c41,plain,
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt1]) ).
cnf(c43,plain,
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c44,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c156,plain,
leq(n0,sK181),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c157,plain,
leq(sK181,'tptp$uminus$u1'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(sK181,n0)
| sK181 = n0 ),
inference(resolution,[status(thm)],[c23,c156]) ).
cnf(d1,plain,
( leq(sK181,X0)
| ~ leq('tptp$uminus$u1',X0) ),
inference(resolution,[status(thm)],[c36,c157]) ).
cnf(d2,plain,
( leq(sK181,pred(X0))
| ~ gt(X0,'tptp$uminus$u1') ),
inference(resolution,[status(thm)],[c44,d1]) ).
cnf(d3,plain,
( gt(X0,sK181)
| ~ gt(X0,'tptp$uminus$u1') ),
inference(resolution,[status(thm)],[d2,c43]) ).
cnf(d4,plain,
gt(n0,sK181),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
leq(sK181,n0),
inference(resolution,[status(thm)],[d4,c41]) ).
cnf(d6,plain,
sK181 = n0,
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
gt(n0,n0),
inference(demodulation,[status(thm)],[d4,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c34,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV151+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.58 % Computer : n002.cluster.edu
% 0.11/5.58 % Model : x86_64 x86_64
% 0.11/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.58 % Memory : 8046.5625MB
% 0.11/5.58 % OS : Linux 6.8.0-71-generic
% 0.11/5.58 % CPULimit : 300
% 0.11/5.58 % WCLimit : 300
% 0.11/5.58 % DateTime : Sat Sep 26 13:19:13 UTC 2026
% 0.11/5.58 % CPUTime :
% 0.11/5.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.57/8.47 % SZS status Theorem for theBenchmark.p
% 20.57/8.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------