%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV212+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 : n019.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 02:46:53 PM UTC 2026
% Result : Theorem 0.08s 0.42s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 8 unt; 2 def)
% Number of atoms : 342 ( 310 equ)
% Maximal formula atoms : 78 ( 14 avg)
% Number of connectives : 541 ( 222 ~; 79 |; 234 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 9 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) )
=> ( ( n3 = A
& n0 = B
& 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 )
& ~ ( n2 = B
& n0 = A )
& ~ ( n1 = B
& n0 = A ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,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
& n0 = B
& 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 )
& ~ ( n2 = B
& n0 = A )
& ~ ( n1 = B
& n0 = A ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
? [A,B] :
( n0 != times(divide(n1,n400),a_select2(sigma,n0))
& n3 = A
& n0 = B
& 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 )
& ( 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,
( n0 != times(divide(n1,n400),a_select2(sigma,n0))
& n3 = sK23_skl
& n0 = sK24_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 )
& ( 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(f283,plain,
( n3 != sK24_skl
| n3 != sK23_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f292,plain,
n0 = sK23_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f293,plain,
n0 = sK24_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f294,plain,
n3 = sK23_skl,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f388,definition,
( sQ3_spl
<=> n3 = sK24_skl ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( sQ3_spl
| n3 != sK24_skl ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f411,definition,
( sQ9_spl
<=> n3 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( sQ9_spl
| n3 != sK23_skl ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f439,plain,
( ~ sQ3_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f283,f411,f388]) ).
fof(f451,plain,
sK23_skl = sK24_skl,
inference(forward_demodulation,[status(thm)],[f292,f293]) ).
fof(f452,plain,
n3 = sK24_skl,
inference(forward_demodulation,[status(thm)],[f451,f294]) ).
fof(f456,plain,
( sQ9_spl
| sK24_skl != sK23_skl ),
inference(forward_demodulation,[status(thm)],[f452,f413]) ).
fof(f457,plain,
( sQ9_spl
| sK24_skl != sK24_skl ),
inference(forward_demodulation,[status(thm)],[f451,f456]) ).
fof(f458,plain,
( sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f457]) ).
fof(f459,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ3_spl
| sK24_skl != sK24_skl ),
inference(forward_demodulation,[status(thm)],[f452,f390]) ).
fof(f462,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f461]) ).
fof(f463,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f462]) ).
fof(f464,plain,
$false,
inference(sat_refutation,[status(thm)],[f439,f459,f463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV212+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:34:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.41 % Drodi V4.1.1
% 0.08/0.42 % Refutation found
% 0.08/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.50 % Elapsed time: 0.121728 seconds
% 0.14/0.50 % CPU time: 0.121523 seconds
% 0.14/0.50 % Total memory used: 10.366 MB
% 0.14/0.50 % Net memory used: 10.352 MB
%------------------------------------------------------------------------------