%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV232+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 : n011.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 13.34s 7.59s
% Output : CNFRefutation 13.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 71 ( 54 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 82 ( 24 ~; 4 |; 46 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0841,conjecture,
( ! [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) )
=> ! [X2,X3] :
( ( leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( ( n2 = X2
& n1 = X3
& n1 = X2
& n0 = X3
& ~ ( n2 = X3
& n2 = X2 )
& ~ ( n2 = X2
& n1 = X3 )
& ~ ( n2 = X3
& n1 = X2 )
& ~ ( n1 = X3
& n1 = X2 )
& ~ ( n2 = X2
& n0 = X3 )
& ~ ( n2 = X3
& n0 = X2 )
& ~ ( n1 = X3
& n0 = X2 ) )
=> 'a$uselect2'(rho,n1) = n0 ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> 'a$uselect3'('q$uds1$ufilter',X0,X1) = 'a$uselect3'('q$uds1$ufilter',X1,X0) )
=> ! [X2,X3] :
( ( leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( ( n2 = X2
& n1 = X3
& n1 = X2
& n0 = X3
& ~ ( n2 = X3
& n2 = X2 )
& ~ ( n2 = X2
& n1 = X3 )
& ~ ( n2 = X3
& n1 = X2 )
& ~ ( n1 = X3
& n1 = X2 )
& ~ ( n2 = X2
& n0 = X3 )
& ~ ( n2 = X3
& n0 = X2 )
& ~ ( n1 = X3
& n0 = X2 ) )
=> 'a$uselect2'(rho,n1) = n0 ) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0841]) ).
cnf(c161,plain,
( n1 != sK184
| n0 != sK183 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
n0 = sK184,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c169,plain,
n1 = sK183,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c170,plain,
n1 = sK184,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
n1 = n0,
inference(demodulation,[status(thm)],[c170,c168]) ).
cnf(d1,plain,
n0 = sK183,
inference(demodulation,[status(thm)],[c169,d0]) ).
cnf(d2,plain,
( n1 != sK184
| n0 != n0 ),
inference(demodulation,[status(thm)],[c161,d1]) ).
cnf(d3,plain,
( n0 != sK184
| n0 != n0 ),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( n0 != n0
| n0 != n0 ),
inference(demodulation,[status(thm)],[d3,c168]) ).
cnf(d5,plain,
n0 != n0,
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV232+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n011.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Sat Sep 26 13:21:04 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.34/7.59 % SZS status Theorem for theBenchmark.p
% 13.34/7.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------