%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV213+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 : Thu Sep 24 02:46:54 PM UTC 2026
% Result : Theorem 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 315 ( 298 equ)
% Maximal formula atoms : 75 ( 21 avg)
% Number of connectives : 510 ( 210 ~; 70 |; 226 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 13 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 : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
! [A,B] :
( ( leq(B,n5)
& leq(A,n5)
& leq(n0,B)
& leq(n0,A) )
=> ( ( n3 = A
& n2 = B
& n2 = A
& n0 = B
& ~ ( n5 = B
& n5 = A )
& ~ ( n5 = A
& n4 = B )
& ~ ( n5 = B
& n4 = A )
& ~ ( n4 = B
& n4 = A )
& ~ ( n5 = A
& n3 = B )
& ~ ( n4 = A
& n3 = B )
& ~ ( n5 = B
& n3 = A )
& ~ ( n4 = B
& n3 = A )
& ~ ( n3 = B
& n3 = A )
& ~ ( n5 = A
& n2 = B )
& ~ ( n4 = A
& n2 = B )
& ~ ( n3 = A
& n2 = B )
& ~ ( n5 = B
& n2 = A )
& ~ ( n4 = B
& n2 = A )
& ~ ( n3 = B
& n2 = A )
& ~ ( n2 = B
& n2 = A )
& ~ ( n5 = A
& n1 = B )
& ~ ( n4 = A
& n1 = B )
& ~ ( n3 = A
& n1 = B )
& ~ ( n2 = A
& n1 = B )
& ~ ( n5 = B
& n1 = A )
& ~ ( n4 = B
& n1 = A )
& ~ ( n3 = B
& n1 = A )
& ~ ( n2 = B
& n1 = A )
& ~ ( n1 = B
& n1 = A )
& ~ ( n5 = A
& n0 = B )
& ~ ( n4 = A
& n0 = B )
& ~ ( n3 = A
& n0 = B )
& ~ ( n5 = B
& n0 = A )
& ~ ( n4 = B
& n0 = A )
& ~ ( n3 = B
& n0 = A )
& ~ ( n2 = B
& n0 = A )
& ~ ( n1 = B
& n0 = A ) )
=> times(divide(n1,n400),a_select2(sigma,n2)) = n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ! [A,B] :
( ( leq(B,n5)
& leq(A,n5)
& leq(n0,B)
& leq(n0,A) )
=> ( ( n3 = A
& n2 = B
& n2 = A
& n0 = B
& ~ ( n5 = B
& n5 = A )
& ~ ( n5 = A
& n4 = B )
& ~ ( n5 = B
& n4 = A )
& ~ ( n4 = B
& n4 = A )
& ~ ( n5 = A
& n3 = B )
& ~ ( n4 = A
& n3 = B )
& ~ ( n5 = B
& n3 = A )
& ~ ( n4 = B
& n3 = A )
& ~ ( n3 = B
& n3 = A )
& ~ ( n5 = A
& n2 = B )
& ~ ( n4 = A
& n2 = B )
& ~ ( n3 = A
& n2 = B )
& ~ ( n5 = B
& n2 = A )
& ~ ( n4 = B
& n2 = A )
& ~ ( n3 = B
& n2 = A )
& ~ ( n2 = B
& n2 = A )
& ~ ( n5 = A
& n1 = B )
& ~ ( n4 = A
& n1 = B )
& ~ ( n3 = A
& n1 = B )
& ~ ( n2 = A
& n1 = B )
& ~ ( n5 = B
& n1 = A )
& ~ ( n4 = B
& n1 = A )
& ~ ( n3 = B
& n1 = A )
& ~ ( n2 = B
& n1 = A )
& ~ ( n1 = B
& n1 = A )
& ~ ( n5 = A
& n0 = B )
& ~ ( n4 = A
& n0 = B )
& ~ ( n3 = A
& n0 = B )
& ~ ( n5 = B
& n0 = A )
& ~ ( n4 = B
& n0 = A )
& ~ ( n3 = B
& n0 = A )
& ~ ( n2 = B
& n0 = A )
& ~ ( n1 = B
& n0 = A ) )
=> times(divide(n1,n400),a_select2(sigma,n2)) = n0 ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
? [A,B] :
( times(divide(n1,n400),a_select2(sigma,n2)) != n0
& n3 = A
& n2 = B
& n2 = A
& n0 = B
& ( n5 != B
| n5 != A )
& ( n5 != A
| n4 != B )
& ( n5 != B
| n4 != A )
& ( n4 != B
| n4 != A )
& ( n5 != A
| n3 != B )
& ( n4 != A
| n3 != B )
& ( n5 != B
| n3 != A )
& ( n4 != B
| n3 != A )
& ( n3 != B
| n3 != A )
& ( n5 != A
| n2 != B )
& ( n4 != A
| n2 != B )
& ( n3 != A
| n2 != B )
& ( n5 != B
| n2 != A )
& ( n4 != B
| n2 != A )
& ( n3 != B
| n2 != A )
& ( n2 != B
| n2 != A )
& ( n5 != A
| n1 != B )
& ( n4 != A
| n1 != B )
& ( n3 != A
| n1 != B )
& ( n2 != A
| n1 != B )
& ( n5 != B
| n1 != A )
& ( n4 != B
| n1 != A )
& ( n3 != B
| n1 != A )
& ( n2 != B
| n1 != A )
& ( n1 != B
| n1 != A )
& ( n5 != A
| n0 != B )
& ( n4 != A
| n0 != B )
& ( n3 != A
| n0 != B )
& ( n5 != B
| n0 != A )
& ( n4 != B
| n0 != A )
& ( n3 != B
| n0 != A )
& ( n2 != B
| n0 != A )
& ( n1 != B
| n0 != A )
& leq(B,n5)
& leq(A,n5)
& leq(n0,B)
& leq(n0,A) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( times(divide(n1,n400),a_select2(sigma,n2)) != n0
& n3 = sK23_skl
& n2 = sK24_skl
& n2 = sK23_skl
& n0 = sK24_skl
& ( n5 != sK24_skl
| n5 != sK23_skl )
& ( n5 != sK23_skl
| n4 != sK24_skl )
& ( n5 != sK24_skl
| n4 != sK23_skl )
& ( n4 != sK24_skl
| n4 != sK23_skl )
& ( n5 != sK23_skl
| n3 != sK24_skl )
& ( n4 != sK23_skl
| n3 != sK24_skl )
& ( n5 != sK24_skl
| n3 != sK23_skl )
& ( n4 != sK24_skl
| n3 != sK23_skl )
& ( n3 != sK24_skl
| n3 != sK23_skl )
& ( n5 != sK23_skl
| n2 != sK24_skl )
& ( n4 != sK23_skl
| n2 != sK24_skl )
& ( n3 != sK23_skl
| n2 != sK24_skl )
& ( n5 != sK24_skl
| n2 != sK23_skl )
& ( n4 != sK24_skl
| n2 != sK23_skl )
& ( n3 != sK24_skl
| n2 != sK23_skl )
& ( n2 != sK24_skl
| n2 != sK23_skl )
& ( n5 != sK23_skl
| n1 != sK24_skl )
& ( n4 != sK23_skl
| n1 != sK24_skl )
& ( n3 != sK23_skl
| n1 != sK24_skl )
& ( n2 != sK23_skl
| n1 != sK24_skl )
& ( n5 != sK24_skl
| n1 != sK23_skl )
& ( n4 != sK24_skl
| n1 != sK23_skl )
& ( n3 != sK24_skl
| n1 != sK23_skl )
& ( n2 != sK24_skl
| n1 != sK23_skl )
& ( n1 != sK24_skl
| n1 != sK23_skl )
& ( n5 != sK23_skl
| n0 != sK24_skl )
& ( n4 != sK23_skl
| n0 != sK24_skl )
& ( n3 != sK23_skl
| n0 != sK24_skl )
& ( n5 != sK24_skl
| n0 != sK23_skl )
& ( n4 != sK24_skl
| n0 != sK23_skl )
& ( n3 != sK24_skl
| n0 != sK23_skl )
& ( n2 != sK24_skl
| n0 != sK23_skl )
& ( n1 != sK24_skl
| n0 != sK23_skl )
& leq(sK24_skl,n5)
& leq(sK23_skl,n5)
& leq(n0,sK24_skl)
& leq(n0,sK23_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(A,sK23_skl),skolemize(B,sK24_skl)],[f251]) ).
fof(f258,plain,
( n2 != sK24_skl
| n0 != sK23_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f290,plain,
n0 = sK24_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f291,plain,
n2 = sK23_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f292,plain,
n2 = sK24_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f380,plain,
n0 = sK23_skl,
inference(backward_demodulation,[status(thm)],[f381,f290]) ).
fof(f381,plain,
sK23_skl = sK24_skl,
inference(forward_demodulation,[status(thm)],[f291,f292]) ).
fof(f393,plain,
( n2 != sK24_skl
| sK23_skl != sK23_skl ),
inference(forward_demodulation,[status(thm)],[f380,f258]) ).
fof(f394,plain,
( sK23_skl != sK24_skl
| sK23_skl != sK23_skl ),
inference(forward_demodulation,[status(thm)],[f291,f393]) ).
fof(f395,plain,
( sK23_skl != sK23_skl
| sK23_skl != sK23_skl ),
inference(forward_demodulation,[status(thm)],[f381,f394]) ).
fof(f396,plain,
sK23_skl != sK23_skl,
inference(duplicate_literals_removal,[status(thm)],[f395]) ).
fof(f397,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV213+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.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 : Mon Sep 21 08:35:17 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.044655 seconds
% 0.14/0.41 % CPU time: 0.077635 seconds
% 0.14/0.41 % Total memory used: 13.823 MB
% 0.14/0.41 % Net memory used: 13.806 MB
%------------------------------------------------------------------------------