%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV097+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 : n006.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 09:01:25 AM UTC 2026
% Result : Theorem 31.76s 4.30s
% Output : CNFRefutation 31.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 3 ( 1 unt; 0 def)
% Number of atoms : 165 ( 124 equ)
% Maximal formula atoms : 82 ( 55 avg)
% Number of connectives : 163 ( 1 ~; 0 |; 152 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 26 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0009,conjecture,
( ( ! [X2,X3] :
( ( leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( 'a$uselect3'('z$udefuse',X2,X3) = use
& 'a$uselect3'('u$udefuse',X2,X3) = use ) )
& ! [X0,X1] :
( ( leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( 'a$uselect3'('z$udefuse',X0,X1) = use
& 'a$uselect3'('u$udefuse',X0,X1) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& 'a$uselect2'('xinit$unoise$udefuse',n5) = use
& 'a$uselect2'('xinit$unoise$udefuse',n4) = use
& 'a$uselect2'('xinit$unoise$udefuse',n3) = use
& 'a$uselect2'('xinit$unoise$udefuse',n2) = use
& 'a$uselect2'('xinit$unoise$udefuse',n1) = use
& 'a$uselect2'('xinit$unoise$udefuse',n0) = use
& 'a$uselect2'('xinit$umean$udefuse',n5) = use
& 'a$uselect2'('xinit$umean$udefuse',n4) = use
& 'a$uselect2'('xinit$umean$udefuse',n3) = use
& 'a$uselect2'('xinit$umean$udefuse',n2) = use
& 'a$uselect2'('xinit$umean$udefuse',n1) = use
& 'a$uselect2'('xinit$umean$udefuse',n0) = use
& 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use
& 'a$uselect2'('rho$udefuse',n2) = use
& 'a$uselect2'('rho$udefuse',n1) = use
& 'a$uselect2'('rho$udefuse',n0) = use )
=> ( ! [X6,X7] :
( ( leq(X7,minus(pv5,n1))
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6) )
=> ( 'a$uselect3'('z$udefuse',X6,X7) = use
& 'a$uselect3'('u$udefuse',X6,X7) = use ) )
& ! [X4,X5] :
( ( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( 'a$uselect3'('z$udefuse',X4,X5) = use
& 'a$uselect3'('u$udefuse',X4,X5) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& 'a$uselect2'('xinit$unoise$udefuse',n5) = use
& 'a$uselect2'('xinit$unoise$udefuse',n4) = use
& 'a$uselect2'('xinit$unoise$udefuse',n3) = use
& 'a$uselect2'('xinit$unoise$udefuse',n2) = use
& 'a$uselect2'('xinit$unoise$udefuse',n1) = use
& 'a$uselect2'('xinit$unoise$udefuse',n0) = use
& 'a$uselect2'('xinit$umean$udefuse',n5) = use
& 'a$uselect2'('xinit$umean$udefuse',n4) = use
& 'a$uselect2'('xinit$umean$udefuse',n3) = use
& 'a$uselect2'('xinit$umean$udefuse',n2) = use
& 'a$uselect2'('xinit$umean$udefuse',n1) = use
& 'a$uselect2'('xinit$umean$udefuse',n0) = use
& 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use
& 'a$uselect2'('rho$udefuse',n2) = use
& 'a$uselect2'('rho$udefuse',n1) = use
& 'a$uselect2'('rho$udefuse',n0) = use ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2,X3] :
( ( leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( 'a$uselect3'('z$udefuse',X2,X3) = use
& 'a$uselect3'('u$udefuse',X2,X3) = use ) )
& ! [X0,X1] :
( ( leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( 'a$uselect3'('z$udefuse',X0,X1) = use
& 'a$uselect3'('u$udefuse',X0,X1) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& 'a$uselect2'('xinit$unoise$udefuse',n5) = use
& 'a$uselect2'('xinit$unoise$udefuse',n4) = use
& 'a$uselect2'('xinit$unoise$udefuse',n3) = use
& 'a$uselect2'('xinit$unoise$udefuse',n2) = use
& 'a$uselect2'('xinit$unoise$udefuse',n1) = use
& 'a$uselect2'('xinit$unoise$udefuse',n0) = use
& 'a$uselect2'('xinit$umean$udefuse',n5) = use
& 'a$uselect2'('xinit$umean$udefuse',n4) = use
& 'a$uselect2'('xinit$umean$udefuse',n3) = use
& 'a$uselect2'('xinit$umean$udefuse',n2) = use
& 'a$uselect2'('xinit$umean$udefuse',n1) = use
& 'a$uselect2'('xinit$umean$udefuse',n0) = use
& 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use
& 'a$uselect2'('rho$udefuse',n2) = use
& 'a$uselect2'('rho$udefuse',n1) = use
& 'a$uselect2'('rho$udefuse',n0) = use )
=> ( ! [X6,X7] :
( ( leq(X7,minus(pv5,n1))
& leq(X6,n2)
& leq(n0,X7)
& leq(n0,X6) )
=> ( 'a$uselect3'('z$udefuse',X6,X7) = use
& 'a$uselect3'('u$udefuse',X6,X7) = use ) )
& ! [X4,X5] :
( ( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( 'a$uselect3'('z$udefuse',X4,X5) = use
& 'a$uselect3'('u$udefuse',X4,X5) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& 'a$uselect2'('xinit$unoise$udefuse',n5) = use
& 'a$uselect2'('xinit$unoise$udefuse',n4) = use
& 'a$uselect2'('xinit$unoise$udefuse',n3) = use
& 'a$uselect2'('xinit$unoise$udefuse',n2) = use
& 'a$uselect2'('xinit$unoise$udefuse',n1) = use
& 'a$uselect2'('xinit$unoise$udefuse',n0) = use
& 'a$uselect2'('xinit$umean$udefuse',n5) = use
& 'a$uselect2'('xinit$umean$udefuse',n4) = use
& 'a$uselect2'('xinit$umean$udefuse',n3) = use
& 'a$uselect2'('xinit$umean$udefuse',n2) = use
& 'a$uselect2'('xinit$umean$udefuse',n1) = use
& 'a$uselect2'('xinit$umean$udefuse',n0) = use
& 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use
& 'a$uselect2'('rho$udefuse',n2) = use
& 'a$uselect2'('rho$udefuse',n1) = use
& 'a$uselect2'('rho$udefuse',n0) = use ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_inuse_0009]) ).
cnf(c163,plain,
$false,
inference(clausification,[status(esa)],[negated_conjecture]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV097+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
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 13:12:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.76/4.30 % SZS status Theorem for theBenchmark.p
% 31.76/4.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------