%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU435+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 59.06s 32.94s
% Output : CNFRefutation 59.06s
% 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(f71064,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(f71120,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(f71121,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)],[f71120]) ).
fof(f335904,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)],[f71064]) ).
fof(f335905,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)],[f335904]) ).
fof(f335906,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)],[f335905]) ).
fof(f336069,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)],[f71121]) ).
fof(f336070,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)],[f336069]) ).
fof(f336071,plain,
( ~ m1_subset_1(a_6_0_relset_2(sK23838_skl,sK23839_skl,sK23840_skl,sK23841_skl,sK23843_skl,sK23842_skl),k1_zfmisc_1(k1_zfmisc_1(sK23843_skl)))
& m1_subset_1(sK23842_skl,k1_zfmisc_1(sK23841_skl))
& m1_subset_1(sK23840_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK23838_skl,sK23839_skl)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23838_skl,sK23839_skl,sK23840_skl,sK23841_skl,sK23842_skl,sK23843_skl]),skolemize(A,sK23838_skl),skolemize(B,sK23839_skl),skolemize(C,sK23840_skl),skolemize(D,sK23841_skl),skolemize(F,sK23842_skl),skolemize(E,sK23843_skl)],[f336070]) ).
fof(f336072,plain,
m1_subset_1(sK23840_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK23838_skl,sK23839_skl)))),
inference(cnf_transformation,[status(thm)],[f336071]) ).
fof(f336073,plain,
m1_subset_1(sK23842_skl,k1_zfmisc_1(sK23841_skl)),
inference(cnf_transformation,[status(thm)],[f336071]) ).
fof(f336074,plain,
~ m1_subset_1(a_6_0_relset_2(sK23838_skl,sK23839_skl,sK23840_skl,sK23841_skl,sK23843_skl,sK23842_skl),k1_zfmisc_1(k1_zfmisc_1(sK23843_skl))),
inference(cnf_transformation,[status(thm)],[f336071]) ).
fof(f387208,plain,
( ~ m1_subset_1(sK23842_skl,k1_zfmisc_1(sK23841_skl))
| ~ m1_subset_1(sK23840_skl,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK23838_skl,sK23839_skl)))) ),
inference(resolution,[status(thm)],[f335906,f336074]) ).
fof(f387210,plain,
~ m1_subset_1(sK23842_skl,k1_zfmisc_1(sK23841_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f387208,f336072]) ).
fof(f387217,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f387210,f336073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU435+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.45 % Computer : n010.cluster.edu
% 0.21/0.45 % Model : x86_64 x86_64
% 0.21/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45 % Memory : 8046.5625MB
% 0.21/0.45 % OS : Linux 6.8.0-71-generic
% 0.21/0.45 % CPULimit : 300
% 0.21/0.45 % WCLimit : 300
% 0.21/0.45 % DateTime : Mon Sep 21 06:31:40 UTC 2026
% 0.21/0.46 % CPUTime :
% 24.45/24.71 % Drodi V4.1.1
% 59.06/32.94 % Refutation found
% 59.06/32.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 59.06/32.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 53.79/34.05 % Elapsed time: 32.778686 seconds
% 53.79/34.05 % CPU time: 73.468552 seconds
% 53.79/34.05 % Total memory used: 20.937 GB
% 53.79/34.05 % Net memory used: 20.816 GB
%------------------------------------------------------------------------------