%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU424+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 : 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 02:20:32 PM UTC 2026
% Result : Theorem 58.75s 24.46s
% Output : CNFRefutation 58.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 18 ~; 9 |; 11 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 32 ( 24 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71064,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& m1_subset_1(C,k1_zfmisc_1(A))
& ~ v1_xboole_0(A) )
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71100,conjecture,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71101,negated_conjecture,
~ ! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
inference(negated_conjecture,[status(cth)],[f71100]) ).
fof(f335884,plain,
! [A,B,C,D] :
( m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
| ~ m2_relset_1(D,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f71064]) ).
fof(f335885,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_0_relset_2(X0,X3,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X3)))
| ~ m2_relset_1(X2,X0,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f335884]) ).
fof(f335974,plain,
? [A] :
( ? [B,C] :
( ? [D] :
( ~ m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
& m2_relset_1(D,A,B) )
& m1_subset_1(C,k1_zfmisc_1(A)) )
& ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f71101]) ).
fof(f335975,plain,
? [A] :
( ? [C] :
( ? [B,D] :
( ~ m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
& m2_relset_1(D,A,B) )
& m1_subset_1(C,k1_zfmisc_1(A)) )
& ~ v1_xboole_0(A) ),
inference(miniscoping,[status(thm)],[f335974]) ).
fof(f335976,plain,
( ~ m1_subset_1(a_4_0_relset_2(sK23835_skl,sK23837_skl,sK23836_skl,sK23838_skl),k1_zfmisc_1(k1_zfmisc_1(sK23837_skl)))
& m2_relset_1(sK23838_skl,sK23835_skl,sK23837_skl)
& m1_subset_1(sK23836_skl,k1_zfmisc_1(sK23835_skl))
& ~ v1_xboole_0(sK23835_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23835_skl,sK23836_skl,sK23837_skl,sK23838_skl]),skolemize(A,sK23835_skl),skolemize(C,sK23836_skl),skolemize(B,sK23837_skl),skolemize(D,sK23838_skl)],[f335975]) ).
fof(f335977,plain,
~ v1_xboole_0(sK23835_skl),
inference(cnf_transformation,[status(thm)],[f335976]) ).
fof(f335978,plain,
m1_subset_1(sK23836_skl,k1_zfmisc_1(sK23835_skl)),
inference(cnf_transformation,[status(thm)],[f335976]) ).
fof(f335979,plain,
m2_relset_1(sK23838_skl,sK23835_skl,sK23837_skl),
inference(cnf_transformation,[status(thm)],[f335976]) ).
fof(f335980,plain,
~ m1_subset_1(a_4_0_relset_2(sK23835_skl,sK23837_skl,sK23836_skl,sK23838_skl),k1_zfmisc_1(k1_zfmisc_1(sK23837_skl))),
inference(cnf_transformation,[status(thm)],[f335976]) ).
fof(f371039,plain,
! [X0,X1] :
( m1_subset_1(a_4_0_relset_2(sK23835_skl,X1,sK23836_skl,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X0,sK23835_skl,X1)
| v1_xboole_0(sK23835_skl) ),
inference(resolution,[status(thm)],[f335885,f335978]) ).
fof(f371042,plain,
! [X0,X1] :
( m1_subset_1(a_4_0_relset_2(sK23835_skl,X1,sK23836_skl,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X0,sK23835_skl,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f371039,f335977]) ).
fof(f371067,plain,
m1_subset_1(a_4_0_relset_2(sK23835_skl,sK23837_skl,sK23836_skl,sK23838_skl),k1_zfmisc_1(k1_zfmisc_1(sK23837_skl))),
inference(resolution,[status(thm)],[f371042,f335979]) ).
fof(f371068,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f371067,f335980]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU424+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n008.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 06:27:47 UTC 2026
% 0.11/0.36 % CPUTime :
% 15.80/16.08 % Drodi V4.1.1
% 58.75/24.46 % Refutation found
% 58.75/24.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 58.75/24.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.03/24.89 % Elapsed time: 23.973950 seconds
% 18.03/24.89 % CPU time: 72.732460 seconds
% 18.03/24.89 % Total memory used: 21.761 GB
% 18.03/24.89 % Net memory used: 21.612 GB
%------------------------------------------------------------------------------