%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU435+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 02:20:36 PM UTC 2026
% Result : Theorem 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 6 unt; 2 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 43 ( 17 ~; 12 |; 7 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 48 ( 36 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
=> ! [D,E,F] :
( m1_subset_1(F,k1_zfmisc_1(D))
=> m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
=> ! [D,E,F] :
( m1_subset_1(F,k1_zfmisc_1(D))
=> m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f43,axiom,
! [A,B,C,D,E,F] :
( ( m1_subset_1(F,k1_zfmisc_1(D))
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) )
=> m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,plain,
? [A,B,C] :
( ? [D,E,F] :
( ~ m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E)))
& m1_subset_1(F,k1_zfmisc_1(D)) )
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
? [A,B,C] :
( ? [D,F] :
( ? [E] : ~ m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E)))
& m1_subset_1(F,k1_zfmisc_1(D)) )
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f55,plain,
( ~ m1_subset_1(a_6_0_relset_2(sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK5_skl,sK4_skl),k1_zfmisc_1(k1_zfmisc_1(sK5_skl)))
& m1_subset_1(sK4_skl,k1_zfmisc_1(sK3_skl))
& m1_subset_1(sK2_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK1_skl)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl),skolemize(F,sK4_skl),skolemize(E,sK5_skl)],[f54]) ).
fof(f56,plain,
m1_subset_1(sK2_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK1_skl)))),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
m1_subset_1(sK4_skl,k1_zfmisc_1(sK3_skl)),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f58,plain,
~ m1_subset_1(a_6_0_relset_2(sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK5_skl,sK4_skl),k1_zfmisc_1(k1_zfmisc_1(sK5_skl))),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f147,plain,
! [A,B,C,D,E,F] :
( m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E)))
| ~ m1_subset_1(F,k1_zfmisc_1(D))
| ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f148,plain,
! [A,B,C,D,F] :
( ! [E] : m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E)))
| ~ m1_subset_1(F,k1_zfmisc_1(D))
| ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) ),
inference(miniscoping,[status(thm)],[f147]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_subset_1(a_6_0_relset_2(X1,X2,X0,X4,X5,X3),k1_zfmisc_1(k1_zfmisc_1(X5)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f177,plain,
( ~ m1_subset_1(sK4_skl,k1_zfmisc_1(sK3_skl))
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK1_skl)))) ),
inference(resolution,[status(thm)],[f149,f58]) ).
fof(f178,definition,
( sQ0_spl
<=> m1_subset_1(sK2_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK1_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( sQ0_spl
| ~ m1_subset_1(sK2_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK1_skl)))) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,definition,
( sQ1_spl
<=> m1_subset_1(sK4_skl,k1_zfmisc_1(sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( sQ1_spl
| ~ m1_subset_1(sK4_skl,k1_zfmisc_1(sK3_skl)) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f177,f178,f181]) ).
fof(f185,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f180,f56]) ).
fof(f186,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f183,f57]) ).
fof(f188,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f187]) ).
fof(f189,plain,
$false,
inference(sat_refutation,[status(thm)],[f184,f186,f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU435+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n008.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 06:29:55 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.47 % Elapsed time: 0.044100 seconds
% 0.15/0.47 % CPU time: 0.091408 seconds
% 0.15/0.47 % Total memory used: 33.390 MB
% 0.15/0.47 % Net memory used: 33.367 MB
%------------------------------------------------------------------------------