%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV232+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 : n016.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 02:46:56 PM UTC 2026
% Result : Theorem 0.08s 0.53s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 9 unt; 2 def)
% Number of atoms : 143 ( 95 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 181 ( 62 ~; 31 |; 78 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ! [A,B] :
( ( leq(B,n5)
& leq(A,n5)
& leq(n0,B)
& leq(n0,A) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
=> ! [C,D] :
( ( leq(D,n2)
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> ( ( n2 = C
& n1 = D
& n1 = C
& n0 = D
& ~ ( n2 = D
& n2 = C )
& ~ ( n2 = C
& n1 = D )
& ~ ( n2 = D
& n1 = C )
& ~ ( n1 = D
& n1 = C )
& ~ ( n2 = C
& n0 = D )
& ~ ( n2 = D
& n0 = C )
& ~ ( n1 = D
& n0 = C ) )
=> a_select2(rho,n1) = 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) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
=> ! [C,D] :
( ( leq(D,n2)
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> ( ( n2 = C
& n1 = D
& n1 = C
& n0 = D
& ~ ( n2 = D
& n2 = C )
& ~ ( n2 = C
& n1 = D )
& ~ ( n2 = D
& n1 = C )
& ~ ( n1 = D
& n1 = C )
& ~ ( n2 = C
& n0 = D )
& ~ ( n2 = D
& n0 = C )
& ~ ( n1 = D
& n0 = C ) )
=> a_select2(rho,n1) = n0 ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f244,plain,
( ? [C,D] :
( a_select2(rho,n1) != n0
& n2 = C
& n1 = D
& n1 = C
& n0 = D
& ( n2 != D
| n2 != C )
& ( n2 != C
| n1 != D )
& ( n2 != D
| n1 != C )
& ( n1 != D
| n1 != C )
& ( n2 != C
| n0 != D )
& ( n2 != D
| n0 != C )
& ( n1 != D
| n0 != C )
& leq(D,n2)
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
& ! [A,B] :
( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A)
| ~ leq(B,n5)
| ~ leq(A,n5)
| ~ leq(n0,B)
| ~ leq(n0,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f245,plain,
( a_select2(rho,n1) != n0
& n2 = sK23_skl
& n1 = sK24_skl
& n1 = sK23_skl
& n0 = sK24_skl
& ( n2 != sK24_skl
| n2 != sK23_skl )
& ( n2 != sK23_skl
| n1 != sK24_skl )
& ( n2 != sK24_skl
| n1 != sK23_skl )
& ( n1 != sK24_skl
| n1 != sK23_skl )
& ( n2 != sK23_skl
| n0 != sK24_skl )
& ( n2 != sK24_skl
| n0 != sK23_skl )
& ( n1 != sK24_skl
| n0 != sK23_skl )
& leq(sK24_skl,n2)
& leq(sK23_skl,n2)
& leq(n0,sK24_skl)
& leq(n0,sK23_skl)
& ! [A,B] :
( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A)
| ~ leq(B,n5)
| ~ leq(A,n5)
| ~ leq(n0,B)
| ~ leq(n0,A) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(C,sK23_skl),skolemize(D,sK24_skl)],[f244]) ).
fof(f253,plain,
( n2 != sK23_skl
| n0 != sK24_skl ),
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f258,plain,
n0 = sK24_skl,
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f259,plain,
n1 = sK23_skl,
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f260,plain,
n1 = sK24_skl,
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f261,plain,
n2 = sK23_skl,
inference(cnf_transformation,[status(thm)],[f245]) ).
fof(f348,definition,
( sQ3_spl
<=> n0 = sK24_skl ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( sQ3_spl
| n0 != sK24_skl ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ4_spl
<=> n2 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( sQ4_spl
| n2 != sK23_skl ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f253,f348,f351]) ).
fof(f365,plain,
sK23_skl = sK24_skl,
inference(forward_demodulation,[status(thm)],[f259,f260]) ).
fof(f366,plain,
n2 = sK24_skl,
inference(forward_demodulation,[status(thm)],[f365,f261]) ).
fof(f367,plain,
( sQ4_spl
| sK24_skl != sK23_skl ),
inference(forward_demodulation,[status(thm)],[f366,f353]) ).
fof(f368,plain,
( sQ4_spl
| sK24_skl != sK24_skl ),
inference(forward_demodulation,[status(thm)],[f365,f367]) ).
fof(f369,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f368]) ).
fof(f370,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( sQ3_spl
| sK24_skl != sK24_skl ),
inference(forward_demodulation,[status(thm)],[f258,f350]) ).
fof(f372,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f371]) ).
fof(f373,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f372]) ).
fof(f374,plain,
$false,
inference(sat_refutation,[status(thm)],[f354,f370,f373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV232+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.50 % Computer : n016.cluster.edu
% 0.08/0.50 % Model : x86_64 x86_64
% 0.08/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.50 % Memory : 8046.5625MB
% 0.08/0.50 % OS : Linux 6.8.0-71-generic
% 0.08/0.50 % CPULimit : 300
% 0.08/0.50 % WCLimit : 300
% 0.08/0.50 % DateTime : Mon Sep 21 08:39:53 UTC 2026
% 0.08/0.51 % CPUTime :
% 0.08/0.52 % Drodi V4.1.1
% 0.08/0.53 % Refutation found
% 0.08/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.56 % Elapsed time: 0.050940 seconds
% 0.15/0.56 % CPU time: 0.076158 seconds
% 0.15/0.56 % Total memory used: 6.818 MB
% 0.15/0.56 % Net memory used: 6.808 MB
%------------------------------------------------------------------------------