%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU435+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 15.90s 5.19s
% Output : CNFRefutation 15.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 33 ( 14 ~; 7 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 48 ( 36 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19053,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/sandbox/benchmark/theBenchmark.p') ).
fof(f19109,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/sandbox/benchmark/theBenchmark.p') ).
fof(f19110,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)],[f19109]) ).
fof(f89201,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)],[f19053]) ).
fof(f89202,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)],[f89201]) ).
fof(f89203,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)],[f89202]) ).
fof(f89366,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)],[f19110]) ).
fof(f89367,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)],[f89366]) ).
fof(f89368,plain,
( ~ m1_subset_1(a_6_0_relset_2(sK6525_skl,sK6526_skl,sK6527_skl,sK6528_skl,sK6530_skl,sK6529_skl),k1_zfmisc_1(k1_zfmisc_1(sK6530_skl)))
& m1_subset_1(sK6529_skl,k1_zfmisc_1(sK6528_skl))
& m1_subset_1(sK6527_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK6525_skl,sK6526_skl)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6525_skl,sK6526_skl,sK6527_skl,sK6528_skl,sK6529_skl,sK6530_skl]),skolemize(A,sK6525_skl),skolemize(B,sK6526_skl),skolemize(C,sK6527_skl),skolemize(D,sK6528_skl),skolemize(F,sK6529_skl),skolemize(E,sK6530_skl)],[f89367]) ).
fof(f89369,plain,
m1_subset_1(sK6527_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK6525_skl,sK6526_skl)))),
inference(cnf_transformation,[status(thm)],[f89368]) ).
fof(f89370,plain,
m1_subset_1(sK6529_skl,k1_zfmisc_1(sK6528_skl)),
inference(cnf_transformation,[status(thm)],[f89368]) ).
fof(f89371,plain,
~ m1_subset_1(a_6_0_relset_2(sK6525_skl,sK6526_skl,sK6527_skl,sK6528_skl,sK6530_skl,sK6529_skl),k1_zfmisc_1(k1_zfmisc_1(sK6530_skl))),
inference(cnf_transformation,[status(thm)],[f89368]) ).
fof(f100819,plain,
( ~ m1_subset_1(sK6529_skl,k1_zfmisc_1(sK6528_skl))
| ~ m1_subset_1(sK6527_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK6525_skl,sK6526_skl)))) ),
inference(resolution,[status(thm)],[f89203,f89371]) ).
fof(f100821,plain,
~ m1_subset_1(sK6529_skl,k1_zfmisc_1(sK6528_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f100819,f89369]) ).
fof(f100822,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f100821,f89370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU435+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.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 06:32:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 3.05/3.36 % Drodi V4.1.1
% 15.90/5.19 % Refutation found
% 15.90/5.19 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.90/5.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.59/5.36 % Elapsed time: 4.936938 seconds
% 3.59/5.36 % CPU time: 15.706222 seconds
% 3.59/5.36 % Total memory used: 5.338 GB
% 3.59/5.36 % Net memory used: 5.297 GB
%------------------------------------------------------------------------------