%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV221+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 33.30s 4.68s
% Output : CNFRefutation 33.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 3 ( 1 unt; 0 def)
% Number of atoms : 95 ( 22 equ)
% Maximal formula atoms : 47 ( 31 avg)
% Number of connectives : 97 ( 5 ~; 0 |; 66 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0401,conjecture,
( ( ! [X10] :
( ( leq(X10,pred(pv57))
& leq(n0,X10) )
=> ! [X11] :
( ( leq(X11,n5)
& leq(n0,X11) )
=> 'a$uselect3'('id$uds1$ufilter',X10,X11) = 'a$uselect3'('id$uds1$ufilter',X11,X10) ) )
& ! [X8,X9] :
( ( leq(X9,n5)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
=> ( gt(pv57,X8)
=> 'a$uselect3'('id$uds1$ufilter',X8,X9) = 'a$uselect3'('id$uds1$ufilter',X9,X8) ) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> ( ( gt(pv58,X7)
& X6 = pv57 )
=> 'a$uselect3'('id$uds1$ufilter',X6,X7) = 'a$uselect3'('id$uds1$ufilter',X7,X6) ) )
& ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> 'a$uselect3'('pminus$uds1$ufilter',X4,X5) = 'a$uselect3'('pminus$uds1$ufilter',X5,X4) )
& ! [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) )
& gt(pv58,pv57)
& leq(pv58,n5)
& leq(pv57,n5)
& leq(pv5,n998)
& leq(n0,pv57)
& leq(n0,pv5) )
=> ! [X12] :
( ( leq(X12,pred(pv57))
& leq(n0,X12) )
=> ! [X13] :
( ( leq(X13,n5)
& leq(n0,X13) )
=> ( ( pv57 != X12
& ~ ( X13 = X12
& pv57 = X13 ) )
=> 'a$uselect3'('id$uds1$ufilter',X12,X13) = 'a$uselect3'('id$uds1$ufilter',X13,X12) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X10] :
( ( leq(X10,pred(pv57))
& leq(n0,X10) )
=> ! [X11] :
( ( leq(X11,n5)
& leq(n0,X11) )
=> 'a$uselect3'('id$uds1$ufilter',X10,X11) = 'a$uselect3'('id$uds1$ufilter',X11,X10) ) )
& ! [X8,X9] :
( ( leq(X9,n5)
& leq(X8,n5)
& leq(n0,X9)
& leq(n0,X8) )
=> ( gt(pv57,X8)
=> 'a$uselect3'('id$uds1$ufilter',X8,X9) = 'a$uselect3'('id$uds1$ufilter',X9,X8) ) )
& ! [X6,X7] :
( ( leq(X7,n5)
& leq(X6,n5)
& leq(n0,X7)
& leq(n0,X6) )
=> ( ( gt(pv58,X7)
& X6 = pv57 )
=> 'a$uselect3'('id$uds1$ufilter',X6,X7) = 'a$uselect3'('id$uds1$ufilter',X7,X6) ) )
& ! [X4,X5] :
( ( leq(X5,n5)
& leq(X4,n5)
& leq(n0,X5)
& leq(n0,X4) )
=> 'a$uselect3'('pminus$uds1$ufilter',X4,X5) = 'a$uselect3'('pminus$uds1$ufilter',X5,X4) )
& ! [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) )
& gt(pv58,pv57)
& leq(pv58,n5)
& leq(pv57,n5)
& leq(pv5,n998)
& leq(n0,pv57)
& leq(n0,pv5) )
=> ! [X12] :
( ( leq(X12,pred(pv57))
& leq(n0,X12) )
=> ! [X13] :
( ( leq(X13,n5)
& leq(n0,X13) )
=> ( ( pv57 != X12
& ~ ( X13 = X12
& pv57 = X13 ) )
=> 'a$uselect3'('id$uds1$ufilter',X12,X13) = 'a$uselect3'('id$uds1$ufilter',X13,X12) ) ) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0401]) ).
cnf(c163,plain,
$false,
inference(clausification,[status(esa)],[negated_conjecture]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV221+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 13:22:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.30/4.68 % SZS status Theorem for theBenchmark.p
% 33.30/4.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------