%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV041+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 : n011.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 09:01:18 AM UTC 2026
% Result : Theorem 19.15s 2.89s
% Output : CNFRefutation 19.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 42 ( 8 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 29 ( 8 ~; 5 |; 7 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(finite_domain_0,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> X0 = n0 ) ).
fof(irreflexivity_gt,axiom,
! [X0] : ~ gt(X0,X0) ).
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(pred_minus_1,axiom,
! [X0] : minus(X0,n1) = pred(X0) ).
fof(gauss_init_0077,conjecture,
( ( geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) )
=> ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,minus(n0,n1))
& leq(n0,X1) )
=> 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,n3),dim(n0,n2),uninit),X1,X0) = init ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( geq(minus(n410,n1),n0)
& geq(minus(n330,n1),n0) )
=> ! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(X1,minus(n0,n1))
& leq(n0,X1) )
=> 'a$uselect3'('tptp$uconst$uarray2'(dim(n0,n3),dim(n0,n2),uninit),X1,X0) = init ) ) ),
inference(negate_conjecture,[status(cth)],[gauss_init_0077]) ).
cnf(c38,plain,
( X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[finite_domain_0]) ).
cnf(c49,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[irreflexivity_gt]) ).
cnf(c56,plain,
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt1]) ).
cnf(c58,plain,
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c149,plain,
minus(X0,n1) = pred(X0),
inference(clausification,[status(esa)],[pred_minus_1]) ).
cnf(c175,plain,
leq(n0,sK182),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c176,plain,
leq(sK182,minus(n0,n1)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(sK182,n0)
| sK182 = n0 ),
inference(resolution,[status(thm)],[c38,c175]) ).
cnf(d1,plain,
leq(sK182,pred(n0)),
inference(demodulation,[status(thm)],[c176,c149]) ).
cnf(d2,plain,
gt(n0,sK182),
inference(resolution,[status(thm)],[d1,c58]) ).
cnf(d3,plain,
leq(sK182,n0),
inference(resolution,[status(thm)],[d2,c56]) ).
cnf(d4,plain,
sK182 = n0,
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
gt(n0,n0),
inference(demodulation,[status(thm)],[d2,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c49,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV041+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 13:08:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.15/2.89 % SZS status Theorem for theBenchmark.p
% 19.15/2.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------