%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV215+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 : n006.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 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 12 unt; 2 def)
% Number of atoms : 328 ( 299 equ)
% Maximal formula atoms : 75 ( 13 avg)
% Number of connectives : 511 ( 207 ~; 72 |; 226 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 8 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) )
=> ( ( n4 = B
& n2 = B
& n2 = A
& n0 = 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 )
& ~ ( 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 )
& ~ ( n2 = A
& n0 = B )
& ~ ( n1 = A
& n0 = B )
& ~ ( n5 = B
& n0 = A )
& ~ ( n4 = B
& n0 = A )
& ~ ( n3 = B
& n0 = A ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
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) )
=> ( ( n4 = B
& n2 = B
& n2 = A
& n0 = 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 )
& ~ ( 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 )
& ~ ( n2 = A
& n0 = B )
& ~ ( n1 = A
& n0 = B )
& ~ ( n5 = B
& n0 = A )
& ~ ( n4 = B
& n0 = A )
& ~ ( n3 = B
& n0 = A ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
? [A,B] :
( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& n4 = B
& n2 = B
& n2 = A
& n0 = 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 )
& ( 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 )
& ( n2 != A
| n0 != B )
& ( n1 != A
| n0 != B )
& ( n5 != B
| n0 != A )
& ( n4 != B
| n0 != A )
& ( n3 != 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,
( n0 != times(divide(n1,n400),a_select2(sigma,n2))
& n4 = sK24_skl
& n2 = sK24_skl
& n2 = sK23_skl
& n0 = 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 )
& ( 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 )
& ( n2 != sK23_skl
| n0 != sK24_skl )
& ( n1 != sK23_skl
| n0 != sK24_skl )
& ( n5 != sK24_skl
| n0 != sK23_skl )
& ( n4 != sK24_skl
| n0 != sK23_skl )
& ( n3 != 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(f286,plain,
( n4 != sK24_skl
| n4 != sK23_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f290,plain,
n0 = sK23_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(f293,plain,
n4 = sK24_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f383,definition,
( sQ2_spl
<=> n4 = sK24_skl ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( sQ2_spl
| n4 != sK24_skl ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f406,definition,
( sQ8_spl
<=> n4 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ8_spl
| n4 != sK23_skl ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f441,plain,
( ~ sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f286,f406,f383]) ).
fof(f447,plain,
n2 = sK23_skl,
inference(backward_demodulation,[status(thm)],[f448,f290]) ).
fof(f448,plain,
n2 = n0,
inference(forward_demodulation,[status(thm)],[f290,f291]) ).
fof(f449,plain,
n4 = sK24_skl,
inference(backward_demodulation,[status(thm)],[f451,f292]) ).
fof(f451,plain,
n4 = n2,
inference(forward_demodulation,[status(thm)],[f292,f293]) ).
fof(f453,plain,
n4 = sK23_skl,
inference(forward_demodulation,[status(thm)],[f451,f447]) ).
fof(f454,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f408]) ).
fof(f455,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f449,f385]) ).
fof(f458,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f457]) ).
fof(f459,plain,
$false,
inference(sat_refutation,[status(thm)],[f441,f455,f458]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV215+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:34:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.059847 seconds
% 0.13/0.43 % CPU time: 0.165028 seconds
% 0.13/0.43 % Total memory used: 106.909 MB
% 0.13/0.43 % Net memory used: 106.748 MB
%------------------------------------------------------------------------------