%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV218+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 16.01s 2.48s
% Output : CNFRefutation 16.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 161 ( 152 equ)
% Maximal formula atoms : 71 ( 10 avg)
% Number of connectives : 219 ( 74 ~; 5 |; 136 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 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_0281,conjecture,
! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( n5 = X1
& n5 = X0
& n4 = X1
& n0 = X0
& ~ ( 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 )
& ~ ( n2 = X1
& n2 = X0 )
& ~ ( n5 = X0
& n1 = X1 )
& ~ ( n4 = X0
& n1 = X1 )
& ~ ( n3 = X0
& n1 = X1 )
& ~ ( n2 = X0
& n1 = X1 )
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n4 = X1
& n1 = X0 )
& ~ ( n3 = X1
& n1 = X0 )
& ~ ( n2 = X1
& n1 = X0 )
& ~ ( n1 = X1
& n1 = X0 )
& ~ ( n5 = X0
& n0 = X1 )
& ~ ( n4 = X0
& n0 = X1 )
& ~ ( n3 = X0
& n0 = X1 )
& ~ ( n2 = X0
& n0 = X1 )
& ~ ( n1 = X0
& n0 = X1 )
& ~ ( n5 = X1
& n0 = X0 ) )
=> n0 = times(divide(n1,n400),'a$uselect2'(sigma,n5)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( n5 = X1
& n5 = X0
& n4 = X1
& n0 = X0
& ~ ( n5 = X1
& n5 = X0 )
& ~ ( n5 = X0
& n4 = X1 )
& ~ ( n5 = X1
& n4 = X0 )
& ~ ( n4 = X1
& n4 = X0 )
& ~ ( n5 = X0
& n3 = X1 )
& ~ ( n4 = X0
& n3 = X1 )
& ~ ( n5 = X1
& n3 = X0 )
& ~ ( n4 = X1
& n3 = X0 )
& ~ ( n3 = X1
& n3 = X0 )
& ~ ( n5 = X0
& n2 = X1 )
& ~ ( n4 = X0
& n2 = X1 )
& ~ ( n3 = X0
& n2 = X1 )
& ~ ( n5 = X1
& n2 = X0 )
& ~ ( n4 = X1
& n2 = X0 )
& ~ ( n3 = X1
& n2 = X0 )
& ~ ( n2 = X1
& n2 = X0 )
& ~ ( n5 = X0
& n1 = X1 )
& ~ ( n4 = X0
& n1 = X1 )
& ~ ( n3 = X0
& n1 = X1 )
& ~ ( n2 = X0
& n1 = X1 )
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n4 = X1
& n1 = X0 )
& ~ ( n3 = X1
& n1 = X0 )
& ~ ( n2 = X1
& n1 = X0 )
& ~ ( n1 = X1
& n1 = X0 )
& ~ ( n5 = X0
& n0 = X1 )
& ~ ( n4 = X0
& n0 = X1 )
& ~ ( n3 = X0
& n0 = X1 )
& ~ ( n2 = X0
& n0 = X1 )
& ~ ( n1 = X0
& n0 = X1 )
& ~ ( n5 = X1
& n0 = X0 ) )
=> n0 = times(divide(n1,n400),'a$uselect2'(sigma,n5)) ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_symm_0281]) ).
cnf(c194,plain,
( n4 != sK182
| n4 != sK181 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c198,plain,
n0 = sK181,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c199,plain,
n4 = sK182,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c200,plain,
n5 = sK181,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c201,plain,
n5 = sK182,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
n5 = n0,
inference(demodulation,[status(thm)],[c200,c198]) ).
cnf(d1,plain,
n0 = sK182,
inference(demodulation,[status(thm)],[c201,d0]) ).
cnf(d2,plain,
n4 = n0,
inference(demodulation,[status(thm)],[c199,d1]) ).
cnf(d3,plain,
( n4 != sK182
| n0 != sK181 ),
inference(demodulation,[status(thm)],[c194,d2]) ).
cnf(d4,plain,
( n4 != sK182
| n0 != n0 ),
inference(demodulation,[status(thm)],[d3,c198]) ).
cnf(d5,plain,
( n0 != sK182
| n0 != n0 ),
inference(demodulation,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( n0 != n0
| n0 != n0 ),
inference(demodulation,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
n0 != n0,
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
$false,
inference(equality_resolution,[status(thm)],[d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV218+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
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 13:21:54 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.01/2.48 % SZS status Theorem for theBenchmark.p
% 16.01/2.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------