%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV048+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 : n013.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 09:01:19 AM UTC 2026
% Result : Theorem 50.30s 17.06s
% Output : CNFRefutation 50.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 76 ( 49 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 81 ( 37 ~; 26 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-3 aty)
% Number of variables : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sum_plus_base,axiom,
! [X0] : sum(n0,'tptp$uminus$u1',X0) = n0 ).
fof(succ_tptp_minus_1,axiom,
succ('tptp$uminus$u1') = n0 ).
fof(pred_minus_1,axiom,
! [X0] : minus(X0,n1) = pred(X0) ).
fof(pred_succ,axiom,
! [X0] : pred(succ(X0)) = X0 ).
fof(ttrue,axiom,
true ).
fof(cl5_nebula_norm_0016,conjecture,
( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),'a$uselect3'(q,pv79,pv35)) )
=> ( ( n0 = pv78
=> true )
& ( n0 != pv78
=> ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),'a$uselect3'(q,pv79,pv35))
& n0 = sum(n0,minus(n0,n1),times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),'a$uselect3'(q,pv79,pv35)) )
=> ( ( n0 = pv78
=> true )
& ( n0 != pv78
=> ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),'a$uselect3'(q,pv79,pv35))
& n0 = sum(n0,minus(n0,n1),times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) ) ) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_norm_0016]) ).
cnf(c128,plain,
sum(n0,'tptp$uminus$u1',X0) = n0,
inference(clausification,[status(esa)],[sum_plus_base]) ).
cnf(c130,plain,
succ('tptp$uminus$u1') = n0,
inference(clausification,[status(esa)],[succ_tptp_minus_1]) ).
cnf(c141,plain,
pred(X0) = minus(X0,n1),
inference(clausification,[status(esa)],[pred_minus_1]) ).
cnf(c142,plain,
pred(succ(X0)) = X0,
inference(clausification,[status(esa)],[pred_succ]) ).
cnf(c161,plain,
true,
inference(clausification,[status(esa)],[ttrue]) ).
cnf(c163,plain,
leq(n0,pv35),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c164,plain,
leq(pv35,minus(n5,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
sum(n0,minus(n135300,n1),'a$uselect3'(q,pv79,pv35)) = pv78,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,plain,
( ~ true
| pv78 != n0 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
( ~ leq(pv35,minus(n5,n1))
| sum(n0,minus(n0,n1),times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) != n0
| sum(n0,minus(n135300,n1),'a$uselect3'(q,pv79,pv35)) != pv78
| ~ leq(n0,pv35)
| pv78 = n0 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sum(n0,pred(n135300),'a$uselect3'(q,pv79,pv35)) = pv78,
inference(demodulation,[status(thm)],[c165,c141]) ).
cnf(d1,plain,
pred(n0) = 'tptp$uminus$u1',
inference(superposition,[status(thm)],[c130,c142]) ).
cnf(d2,plain,
( ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 = n0
| sum(n0,minus(n0,n1),times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) != n0
| sum(n0,pred(n135300),'a$uselect3'(q,pv79,pv35)) != pv78 ),
inference(demodulation,[status(thm)],[c168,c141]) ).
cnf(d3,plain,
( ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 = n0
| sum(n0,pred(n0),times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) != n0
| sum(n0,pred(n135300),'a$uselect3'(q,pv79,pv35)) != pv78 ),
inference(demodulation,[status(thm)],[d2,c141]) ).
cnf(d4,plain,
( ~ leq(pv35,pred(n5))
| ~ leq(n0,pv35)
| pv78 = n0
| sum(n0,pred(n0),times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) != n0
| sum(n0,pred(n135300),'a$uselect3'(q,pv79,pv35)) != pv78 ),
inference(demodulation,[status(thm)],[d3,c141]) ).
cnf(d5,plain,
( ~ leq(pv35,pred(n5))
| pv78 = n0
| sum(n0,pred(n0),times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) != n0
| sum(n0,pred(n135300),'a$uselect3'(q,pv79,pv35)) != pv78 ),
inference(resolution,[status(thm)],[c163,d4]) ).
cnf(d6,plain,
pv78 != n0,
inference(resolution,[status(thm)],[c161,c167]) ).
cnf(d7,plain,
( ~ leq(pv35,pred(n5))
| sum(n0,pred(n0),times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) != n0
| sum(n0,pred(n135300),'a$uselect3'(q,pv79,pv35)) != pv78 ),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
leq(pv35,pred(n5)),
inference(demodulation,[status(thm)],[c164,c141]) ).
cnf(d9,plain,
( sum(n0,pred(n0),times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) != n0
| sum(n0,pred(n135300),'a$uselect3'(q,pv79,pv35)) != pv78 ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
( sum(n0,'tptp$uminus$u1',times('a$uselect3'(q,pv81,pv35),'a$uselect2'(x,pv81))) != n0
| sum(n0,pred(n135300),'a$uselect3'(q,pv79,pv35)) != pv78 ),
inference(demodulation,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
( sum(n0,pred(n135300),'a$uselect3'(q,pv79,pv35)) != pv78
| n0 != n0 ),
inference(demodulation,[status(thm)],[d10,c128]) ).
cnf(d12,plain,
( pv78 != pv78
| n0 != n0 ),
inference(demodulation,[status(thm)],[d11,d0]) ).
cnf(d13,plain,
pv78 != pv78,
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
$false,
inference(equality_resolution,[status(thm)],[d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV048+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
% 0.10/10.58 % Computer : n013.cluster.edu
% 0.10/10.58 % Model : x86_64 x86_64
% 0.10/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.58 % Memory : 8046.5625MB
% 0.10/10.58 % OS : Linux 6.8.0-71-generic
% 0.10/10.58 % CPULimit : 300
% 0.10/10.58 % WCLimit : 300
% 0.10/10.58 % DateTime : Sat Sep 26 13:09:04 UTC 2026
% 0.10/10.59 % CPUTime :
% 0.10/10.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.30/17.06 % SZS status Theorem for theBenchmark.p
% 50.30/17.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------