%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV056+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 28.41s 19.49s
% Output : CNFRefutation 28.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 16 unt; 0 def)
% Number of atoms : 31 ( 17 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 3 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 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(cl5_nebula_norm_0040,conjecture,
( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),'a$uselect3'(q,pv77,pv25)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),'a$uselect3'(q,pv77,pv25)) ) ),
inference(negate_conjecture,[status(cth)],[cl5_nebula_norm_0040]) ).
cnf(c121,plain,
sum(n0,'tptp$uminus$u1',X0) = n0,
inference(clausification,[status(esa)],[sum_plus_base]) ).
cnf(c123,plain,
succ('tptp$uminus$u1') = n0,
inference(clausification,[status(esa)],[succ_tptp_minus_1]) ).
cnf(c134,plain,
minus(X0,n1) = pred(X0),
inference(clausification,[status(esa)],[pred_minus_1]) ).
cnf(c135,plain,
pred(succ(X0)) = X0,
inference(clausification,[status(esa)],[pred_succ]) ).
cnf(c156,plain,
leq(n0,pv25),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c157,plain,
leq(pv25,minus(n5,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c158,plain,
( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),'a$uselect3'(q,pv77,pv25)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
pred(n0) = 'tptp$uminus$u1',
inference(superposition,[status(thm)],[c123,c135]) ).
cnf(d1,plain,
( ~ leq(pv25,minus(n5,n1))
| n0 != sum(n0,minus(n0,n1),'a$uselect3'(q,pv77,pv25)) ),
inference(resolution,[status(thm)],[c156,c158]) ).
cnf(d2,plain,
n0 != sum(n0,minus(n0,n1),'a$uselect3'(q,pv77,pv25)),
inference(resolution,[status(thm)],[c157,d1]) ).
cnf(d3,plain,
n0 != sum(n0,pred(n0),'a$uselect3'(q,pv77,pv25)),
inference(demodulation,[status(thm)],[d2,c134]) ).
cnf(d4,plain,
n0 != sum(n0,'tptp$uminus$u1','a$uselect3'(q,pv77,pv25)),
inference(demodulation,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
n0 != n0,
inference(demodulation,[status(thm)],[d4,c121]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV056+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
% 0.10/15.79 % Computer : n013.cluster.edu
% 0.10/15.79 % Model : x86_64 x86_64
% 0.10/15.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.79 % Memory : 8046.5625MB
% 0.10/15.79 % OS : Linux 6.8.0-71-generic
% 0.10/15.79 % CPULimit : 300
% 0.10/15.79 % WCLimit : 300
% 0.10/15.79 % DateTime : Sat Sep 26 13:09:38 UTC 2026
% 0.10/15.79 % CPUTime :
% 0.10/15.79 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.41/19.49 % SZS status Theorem for theBenchmark.p
% 28.41/19.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------