%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV106+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 : n001.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 09:01:26 AM UTC 2026
% Result : Theorem 7.12s 4.19s
% Output : CNFRefutation 7.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 56 ( 14 equ)
% Maximal formula atoms : 26 ( 9 avg)
% Number of connectives : 52 ( 2 ~; 0 |; 34 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ttrue,axiom,
true ).
fof(quaternion_ds1_inuse_0018,conjecture,
( ( ! [X7,X8] :
( ( leq(X8,minus('n$usteps',n1))
& leq(X7,minus('m$umeasvars',n1))
& leq(n0,X8)
& leq(n0,X7) )
=> 'a$uselect3'('z$udefuse',X7,X8) = use )
& ! [X6] :
( ( leq(X6,minus('n$ustatevars',n1))
& leq(n0,X6) )
=> 'a$uselect2'('xinit$unoise$udefuse',X6) = use )
& ! [X5] :
( ( leq(X5,minus('n$ustatevars',n1))
& leq(n0,X5) )
=> 'a$uselect2'('xinit$umean$udefuse',X5) = use )
& ! [X4] :
( ( leq(X4,minus('n$ustatevars',n1))
& leq(n0,X4) )
=> 'a$uselect2'('xinit$udefuse',X4) = use )
& ! [X2,X3] :
( ( leq(X3,minus('n$usteps',n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('u$udefuse',X2,X3) = use )
& ! [X1] :
( ( leq(X1,minus('n$ustatevars',n1))
& leq(n0,X1) )
=> 'a$uselect2'('sigma$udefuse',X1) = use )
& ! [X0] :
( ( leq(X0,minus('m$umeasvars',n1))
& leq(n0,X0) )
=> 'a$uselect2'('rho$udefuse',X0) = use ) )
=> true ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X7,X8] :
( ( leq(X8,minus('n$usteps',n1))
& leq(X7,minus('m$umeasvars',n1))
& leq(n0,X8)
& leq(n0,X7) )
=> 'a$uselect3'('z$udefuse',X7,X8) = use )
& ! [X6] :
( ( leq(X6,minus('n$ustatevars',n1))
& leq(n0,X6) )
=> 'a$uselect2'('xinit$unoise$udefuse',X6) = use )
& ! [X5] :
( ( leq(X5,minus('n$ustatevars',n1))
& leq(n0,X5) )
=> 'a$uselect2'('xinit$umean$udefuse',X5) = use )
& ! [X4] :
( ( leq(X4,minus('n$ustatevars',n1))
& leq(n0,X4) )
=> 'a$uselect2'('xinit$udefuse',X4) = use )
& ! [X2,X3] :
( ( leq(X3,minus('n$usteps',n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('u$udefuse',X2,X3) = use )
& ! [X1] :
( ( leq(X1,minus('n$ustatevars',n1))
& leq(n0,X1) )
=> 'a$uselect2'('sigma$udefuse',X1) = use )
& ! [X0] :
( ( leq(X0,minus('m$umeasvars',n1))
& leq(n0,X0) )
=> 'a$uselect2'('rho$udefuse',X0) = use ) )
=> true ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_inuse_0018]) ).
cnf(c154,plain,
true,
inference(clausification,[status(esa)],[ttrue]) ).
cnf(c163,plain,
~ true,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c163,c154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV106+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n001.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 13:18:43 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.12/4.19 % SZS status Theorem for theBenchmark.p
% 7.12/4.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------