%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV121+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 : n016.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 09:01:27 AM UTC 2026
% Result : Theorem 13.90s 17.16s
% Output : CNFRefutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 36 ( 6 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 32 ( 2 ~; 0 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ttrue,axiom,
true ).
fof(quaternion_ds1_symm_0014,conjecture,
( ( ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> 'a$uselect3'('pminus$uds1$ufilter',X4,X5) = 'a$uselect3'('pminus$uds1$ufilter',X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('r$uds1$ufilter',X2,X3) = 'a$uselect3'('r$uds1$ufilter',X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> 'a$uselect3'('q$uds1$ufilter',X0,X1) = 'a$uselect3'('q$uds1$ufilter',X1,X0) ) )
=> true ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> 'a$uselect3'('pminus$uds1$ufilter',X4,X5) = 'a$uselect3'('pminus$uds1$ufilter',X5,X4) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('r$uds1$ufilter',X2,X3) = 'a$uselect3'('r$uds1$ufilter',X3,X2) )
& ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> 'a$uselect3'('q$uds1$ufilter',X0,X1) = 'a$uselect3'('q$uds1$ufilter',X1,X0) ) )
=> true ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0014]) ).
cnf(c163,plain,
true,
inference(clausification,[status(esa)],[ttrue]) ).
cnf(c168,plain,
~ true,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c168,c163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV121+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.02/15.23 % CPULimit : 300
% 0.02/15.23 % WCLimit : 300
% 0.02/15.23 % DateTime : Sat Sep 26 13:14:36 UTC 2026
% 0.02/15.23 % CPUTime :
% 0.02/15.23 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.90/17.16 % SZS status Theorem for theBenchmark.p
% 13.90/17.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------