%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV216+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 09:01:40 AM UTC 2026
% Result : Theorem 4.80s 3.82s
% Output : CNFRefutation 4.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 124 ( 115 equ)
% Maximal formula atoms : 55 ( 10 avg)
% Number of connectives : 168 ( 56 ~; 4 |; 104 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0201,conjecture,
! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( n4 = X0
& n2 = X1
& n2 = X0
& n1 = X1
& ~ ( n5 = X1
& n5 = X0 )
& ~ ( n5 = X0
& n4 = X1 )
& ~ ( n5 = X1
& n4 = X0 )
& ~ ( n4 = X1
& n4 = X0 )
& ~ ( n5 = X0
& n3 = X1 )
& ~ ( n4 = X0
& n3 = X1 )
& ~ ( n5 = X1
& n3 = X0 )
& ~ ( n4 = X1
& n3 = X0 )
& ~ ( n3 = X1
& n3 = X0 )
& ~ ( n5 = X0
& n2 = X1 )
& ~ ( n4 = X0
& n2 = X1 )
& ~ ( n3 = X0
& n2 = X1 )
& ~ ( n5 = X1
& n2 = X0 )
& ~ ( n4 = X1
& n2 = X0 )
& ~ ( n3 = X1
& n2 = X0 )
& ~ ( n5 = X0
& n1 = X1 )
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n4 = X1
& n1 = X0 )
& ~ ( n3 = X1
& n1 = X0 )
& ~ ( n5 = X0
& n0 = X1 )
& ~ ( n5 = X1
& n0 = X0 )
& ~ ( n4 = X1
& n0 = X0 )
& ~ ( n3 = X1
& n0 = X0 ) )
=> n0 = times(divide(n1,n400),'a$uselect2'(sigma,n2)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( n4 = X0
& n2 = X1
& n2 = X0
& n1 = X1
& ~ ( n5 = X1
& n5 = X0 )
& ~ ( n5 = X0
& n4 = X1 )
& ~ ( n5 = X1
& n4 = X0 )
& ~ ( n4 = X1
& n4 = X0 )
& ~ ( n5 = X0
& n3 = X1 )
& ~ ( n4 = X0
& n3 = X1 )
& ~ ( n5 = X1
& n3 = X0 )
& ~ ( n4 = X1
& n3 = X0 )
& ~ ( n3 = X1
& n3 = X0 )
& ~ ( n5 = X0
& n2 = X1 )
& ~ ( n4 = X0
& n2 = X1 )
& ~ ( n3 = X0
& n2 = X1 )
& ~ ( n5 = X1
& n2 = X0 )
& ~ ( n4 = X1
& n2 = X0 )
& ~ ( n3 = X1
& n2 = X0 )
& ~ ( n5 = X0
& n1 = X1 )
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n4 = X1
& n1 = X0 )
& ~ ( n3 = X1
& n1 = X0 )
& ~ ( n5 = X0
& n0 = X1 )
& ~ ( n5 = X1
& n0 = X0 )
& ~ ( n4 = X1
& n0 = X0 )
& ~ ( n3 = X1
& n0 = X0 ) )
=> n0 = times(divide(n1,n400),'a$uselect2'(sigma,n2)) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0201]) ).
cnf(c176,plain,
( n4 != sK182
| n2 != sK181 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c191,plain,
n2 = sK181,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c192,plain,
n2 = sK182,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c193,plain,
n4 = sK181,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sK181 = sK182,
inference(demodulation,[status(thm)],[c192,c191]) ).
cnf(d1,plain,
( n2 != sK181
| sK181 != sK182 ),
inference(demodulation,[status(thm)],[c176,c193]) ).
cnf(d2,plain,
( n2 != sK181
| sK181 != sK181 ),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( sK181 != sK181
| sK181 != sK181 ),
inference(demodulation,[status(thm)],[d2,c191]) ).
cnf(d4,plain,
sK181 != sK181,
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV216+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 13:15:48 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.80/3.82 % SZS status Theorem for theBenchmark.p
% 4.80/3.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------