%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV220+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 02:46:55 PM UTC 2026
% Result : Theorem 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 10 unt; 2 def)
% Number of atoms : 188 ( 156 equ)
% Maximal formula atoms : 39 ( 7 avg)
% Number of connectives : 265 ( 102 ~; 39 |; 118 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 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) )
=> ( ( n5 = B
& n3 = B
& n3 = A
& n1 = A
& ~ ( 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 )
& ~ ( n5 = A
& n2 = B )
& ~ ( n4 = A
& n2 = B )
& ~ ( n5 = B
& n2 = A )
& ~ ( n5 = A
& n1 = B )
& ~ ( n4 = A
& n1 = B )
& ~ ( n5 = A
& n0 = B )
& ~ ( n4 = A
& n0 = B ) )
=> times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ! [A,B] :
( ( leq(B,n5)
& leq(A,n5)
& leq(n0,B)
& leq(n0,A) )
=> ( ( n5 = B
& n3 = B
& n3 = A
& n1 = A
& ~ ( 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 )
& ~ ( n5 = A
& n2 = B )
& ~ ( n4 = A
& n2 = B )
& ~ ( n5 = B
& n2 = A )
& ~ ( n5 = A
& n1 = B )
& ~ ( n4 = A
& n1 = B )
& ~ ( n5 = A
& n0 = B )
& ~ ( n4 = A
& n0 = B ) )
=> times(divide(n1,n400),a_select2(sigma,n3)) = n0 ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
? [A,B] :
( times(divide(n1,n400),a_select2(sigma,n3)) != n0
& n5 = B
& n3 = B
& n3 = A
& n1 = A
& ( 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 )
& ( n5 != A
| n2 != B )
& ( n4 != A
| n2 != B )
& ( n5 != B
| n2 != A )
& ( n5 != A
| n1 != B )
& ( n4 != A
| n1 != B )
& ( n5 != A
| n0 != B )
& ( n4 != A
| n0 != B )
& 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,n3)) != n0
& n5 = sK24_skl
& n3 = sK24_skl
& n3 = sK23_skl
& n1 = sK23_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 )
& ( n5 != sK23_skl
| n2 != sK24_skl )
& ( n4 != sK23_skl
| n2 != sK24_skl )
& ( n5 != sK24_skl
| n2 != sK23_skl )
& ( n5 != sK23_skl
| n1 != sK24_skl )
& ( n4 != sK23_skl
| n1 != sK24_skl )
& ( n5 != sK23_skl
| n0 != sK24_skl )
& ( n4 != sK23_skl
| n0 != sK24_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(f260,plain,
( n5 != sK23_skl
| n1 != sK24_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f272,plain,
n1 = sK23_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f273,plain,
n3 = sK23_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f274,plain,
n3 = sK24_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f275,plain,
n5 = sK24_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f365,definition,
( sQ2_spl
<=> n5 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( sQ2_spl
| n5 != sK23_skl ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f369,definition,
( sQ3_spl
<=> n1 = sK24_skl ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( sQ3_spl
| n1 != sK24_skl ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f373,plain,
( ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f260,f369,f365]) ).
fof(f405,plain,
n3 = n1,
inference(forward_demodulation,[status(thm)],[f272,f273]) ).
fof(f407,plain,
n1 = sK24_skl,
inference(forward_demodulation,[status(thm)],[f405,f274]) ).
fof(f408,plain,
n5 = n1,
inference(forward_demodulation,[status(thm)],[f407,f275]) ).
fof(f409,plain,
( sQ2_spl
| n1 != sK23_skl ),
inference(forward_demodulation,[status(thm)],[f408,f367]) ).
fof(f410,plain,
( sQ2_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f272,f409]) ).
fof(f411,plain,
( sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f410]) ).
fof(f412,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ3_spl
| n1 != n1 ),
inference(forward_demodulation,[status(thm)],[f407,f371]) ).
fof(f415,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f414]) ).
fof(f416,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f415]) ).
fof(f417,plain,
$false,
inference(sat_refutation,[status(thm)],[f373,f412,f416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV220+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n015.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 08:38:21 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.052400 seconds
% 0.13/0.41 % CPU time: 0.146942 seconds
% 0.13/0.41 % Total memory used: 109.339 MB
% 0.13/0.41 % Net memory used: 109.172 MB
%------------------------------------------------------------------------------