%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV222+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 09:01:40 AM UTC 2026
% Result : Theorem 7.10s 4.10s
% Output : CNFRefutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 192 ( 167 equ)
% Maximal formula atoms : 89 ( 16 avg)
% Number of connectives : 260 ( 80 ~; 4 |; 166 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0441,conjecture,
( ( ! [X2,X3] :
( ( leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('r$uds1$ufilter',X2,X3) = 'a$uselect3'('r$uds1$ufilter',X3,X2) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> 'a$uselect3'('q$uds1$ufilter',X0,X1) = 'a$uselect3'('q$uds1$ufilter',X1,X0) ) )
=> ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( n3 = X5
& n1 = X4
& n0 = X5
& n0 = X4
& ~ ( n5 = X5
& n5 = X4 )
& ~ ( n5 = X4
& n4 = X5 )
& ~ ( n5 = X5
& n4 = X4 )
& ~ ( n4 = X5
& n4 = X4 )
& ~ ( n5 = X4
& n3 = X5 )
& ~ ( n4 = X4
& n3 = X5 )
& ~ ( n5 = X5
& n3 = X4 )
& ~ ( n4 = X5
& n3 = X4 )
& ~ ( n3 = X5
& n3 = X4 )
& ~ ( n5 = X4
& n2 = X5 )
& ~ ( n4 = X4
& n2 = X5 )
& ~ ( n3 = X4
& n2 = X5 )
& ~ ( n5 = X5
& n2 = X4 )
& ~ ( n4 = X5
& n2 = X4 )
& ~ ( n3 = X5
& n2 = X4 )
& ~ ( n2 = X5
& n2 = X4 )
& ~ ( n5 = X4
& n1 = X5 )
& ~ ( n4 = X4
& n1 = X5 )
& ~ ( n3 = X4
& n1 = X5 )
& ~ ( n2 = X4
& n1 = X5 )
& ~ ( n5 = X5
& n1 = X4 )
& ~ ( n4 = X5
& n1 = X4 )
& ~ ( n3 = X5
& n1 = X4 )
& ~ ( n2 = X5
& n1 = X4 )
& ~ ( n1 = X5
& n1 = X4 )
& ~ ( n5 = X4
& n0 = X5 )
& ~ ( n4 = X4
& n0 = X5 )
& ~ ( n3 = X4
& n0 = X5 )
& ~ ( n2 = X4
& n0 = X5 )
& ~ ( n1 = X4
& n0 = X5 )
& ~ ( n5 = X5
& n0 = X4 )
& ~ ( n4 = X5
& n0 = X4 )
& ~ ( n3 = X5
& n0 = X4 )
& ~ ( n2 = X5
& n0 = X4 )
& ~ ( n1 = X5
& n0 = X4 ) )
=> 'a$uselect2'('xinit$unoise',n0) = n0 ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2,X3] :
( ( leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> 'a$uselect3'('r$uds1$ufilter',X2,X3) = 'a$uselect3'('r$uds1$ufilter',X3,X2) )
& ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> 'a$uselect3'('q$uds1$ufilter',X0,X1) = 'a$uselect3'('q$uds1$ufilter',X1,X0) ) )
=> ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( n3 = X5
& n1 = X4
& n0 = X5
& n0 = X4
& ~ ( n5 = X5
& n5 = X4 )
& ~ ( n5 = X4
& n4 = X5 )
& ~ ( n5 = X5
& n4 = X4 )
& ~ ( n4 = X5
& n4 = X4 )
& ~ ( n5 = X4
& n3 = X5 )
& ~ ( n4 = X4
& n3 = X5 )
& ~ ( n5 = X5
& n3 = X4 )
& ~ ( n4 = X5
& n3 = X4 )
& ~ ( n3 = X5
& n3 = X4 )
& ~ ( n5 = X4
& n2 = X5 )
& ~ ( n4 = X4
& n2 = X5 )
& ~ ( n3 = X4
& n2 = X5 )
& ~ ( n5 = X5
& n2 = X4 )
& ~ ( n4 = X5
& n2 = X4 )
& ~ ( n3 = X5
& n2 = X4 )
& ~ ( n2 = X5
& n2 = X4 )
& ~ ( n5 = X4
& n1 = X5 )
& ~ ( n4 = X4
& n1 = X5 )
& ~ ( n3 = X4
& n1 = X5 )
& ~ ( n2 = X4
& n1 = X5 )
& ~ ( n5 = X5
& n1 = X4 )
& ~ ( n4 = X5
& n1 = X4 )
& ~ ( n3 = X5
& n1 = X4 )
& ~ ( n2 = X5
& n1 = X4 )
& ~ ( n1 = X5
& n1 = X4 )
& ~ ( n5 = X4
& n0 = X5 )
& ~ ( n4 = X4
& n0 = X5 )
& ~ ( n3 = X4
& n0 = X5 )
& ~ ( n2 = X4
& n0 = X5 )
& ~ ( n1 = X4
& n0 = X5 )
& ~ ( n5 = X5
& n0 = X4 )
& ~ ( n4 = X5
& n0 = X4 )
& ~ ( n3 = X5
& n0 = X4 )
& ~ ( n2 = X5
& n0 = X4 )
& ~ ( n1 = X5
& n0 = X4 ) )
=> 'a$uselect2'('xinit$unoise',n0) = n0 ) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0441]) ).
cnf(c164,plain,
( n3 != sK186
| n0 != sK185 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c197,plain,
n0 = sK185,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c198,plain,
n0 = sK186,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c200,plain,
n3 = sK186,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
n3 = n0,
inference(demodulation,[status(thm)],[c200,c198]) ).
cnf(d1,plain,
( n3 != sK186
| n0 != n0 ),
inference(demodulation,[status(thm)],[c164,c197]) ).
cnf(d2,plain,
( n0 != sK186
| n0 != n0 ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( n0 != n0
| n0 != n0 ),
inference(demodulation,[status(thm)],[d2,c198]) ).
cnf(d4,plain,
n0 != n0,
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV222+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
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 13:26:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.10/4.10 % SZS status Theorem for theBenchmark.p
% 7.10/4.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------