%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV116+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 : n017.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 30.00s 5.22s
% Output : CNFRefutation 30.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 3 ( 1 unt; 0 def)
% Number of atoms : 85 ( 16 equ)
% Maximal formula atoms : 42 ( 28 avg)
% Number of connectives : 83 ( 1 ~; 0 |; 62 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0009,conjecture,
( ( ! [X8] :
( ( leq(X8,minus(n6,n1))
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> 'a$uselect3'('id$uds1$ufilter',X8,X9) = 'a$uselect3'('id$uds1$ufilter',X9,X8) ) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> 'a$uselect3'('pminus$uds1$ufilter',X6,X7) = 'a$uselect3'('pminus$uds1$ufilter',X7,X6) )
& ! [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) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> 'a$uselect3'('pminus$uds1$ufilter',X14,X15) = 'a$uselect3'('pminus$uds1$ufilter',X15,X14) )
& ! [X12,X13] :
( ( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> 'a$uselect3'('r$uds1$ufilter',X12,X13) = 'a$uselect3'('r$uds1$ufilter',X13,X12) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> 'a$uselect3'('q$uds1$ufilter',X10,X11) = 'a$uselect3'('q$uds1$ufilter',X11,X10) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X8] :
( ( leq(X8,minus(n6,n1))
& leq(n0,X8) )
=> ! [X9] :
( ( leq(X9,minus(n6,n1))
& leq(n0,X9) )
=> 'a$uselect3'('id$uds1$ufilter',X8,X9) = 'a$uselect3'('id$uds1$ufilter',X9,X8) ) )
& ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> 'a$uselect3'('pminus$uds1$ufilter',X6,X7) = 'a$uselect3'('pminus$uds1$ufilter',X7,X6) )
& ! [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) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
=> ( ! [X14,X15] :
( ( leq(X15,minus(n6,n1))
& leq(X14,minus(n6,n1))
& leq(n0,X15)
& leq(n0,X14) )
=> 'a$uselect3'('pminus$uds1$ufilter',X14,X15) = 'a$uselect3'('pminus$uds1$ufilter',X15,X14) )
& ! [X12,X13] :
( ( leq(X13,minus(n3,n1))
& leq(X12,minus(n3,n1))
& leq(n0,X13)
& leq(n0,X12) )
=> 'a$uselect3'('r$uds1$ufilter',X12,X13) = 'a$uselect3'('r$uds1$ufilter',X13,X12) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> 'a$uselect3'('q$uds1$ufilter',X10,X11) = 'a$uselect3'('q$uds1$ufilter',X11,X10) ) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0009]) ).
cnf(c173,plain,
$false,
inference(clausification,[status(esa)],[negated_conjecture]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV116+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
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 13:09:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.00/5.22 % SZS status Theorem for theBenchmark.p
% 30.00/5.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------