%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV231+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 : n008.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 09:01:42 AM UTC 2026
% Result : Theorem 20.35s 3.35s
% Output : CNFRefutation 20.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 108 ( 83 equ)
% Maximal formula atoms : 45 ( 7 avg)
% Number of connectives : 131 ( 38 ~; 5 |; 78 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 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_0801,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) )
=> ( ( n5 = X5
& n5 = X4
& n4 = X5
& n3 = 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 )
& ~ ( n5 = X4
& n2 = X5 )
& ~ ( n4 = X4
& n2 = X5 )
& ~ ( n5 = X4
& n1 = X5 )
& ~ ( n4 = X4
& n1 = X5 )
& ~ ( n5 = X4
& n0 = X5 )
& ~ ( n4 = X4
& n0 = X5 ) )
=> n0 = 'a$uselect2'('xinit$unoise',n5) ) ) ) ).
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) )
=> ( ( n5 = X5
& n5 = X4
& n4 = X5
& n3 = 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 )
& ~ ( n5 = X4
& n2 = X5 )
& ~ ( n4 = X4
& n2 = X5 )
& ~ ( n5 = X4
& n1 = X5 )
& ~ ( n4 = X4
& n1 = X5 )
& ~ ( n5 = X4
& n0 = X5 )
& ~ ( n4 = X4
& n0 = X5 ) )
=> n0 = 'a$uselect2'('xinit$unoise',n5) ) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0801]) ).
cnf(c169,plain,
( n4 != sK185
| n3 != sK186 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c175,plain,
n3 = sK185,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c176,plain,
n4 = sK186,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c177,plain,
n5 = sK185,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c178,plain,
n5 = sK186,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
n3 = n5,
inference(demodulation,[status(thm)],[c175,c177]) ).
cnf(d1,plain,
n4 = n5,
inference(demodulation,[status(thm)],[c176,c178]) ).
cnf(d2,plain,
( n3 != sK186
| n5 != sK185 ),
inference(demodulation,[status(thm)],[c169,d1]) ).
cnf(d3,plain,
( n3 != sK186
| n5 != n5 ),
inference(demodulation,[status(thm)],[d2,c177]) ).
cnf(d4,plain,
( n5 != sK186
| n5 != n5 ),
inference(demodulation,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( n5 != n5
| n5 != n5 ),
inference(demodulation,[status(thm)],[d4,c178]) ).
cnf(d6,plain,
n5 != n5,
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV231+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
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 13:21:24 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.35/3.35 % SZS status Theorem for theBenchmark.p
% 20.35/3.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------