%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU429+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:20:34 PM UTC 2026
% Result : Theorem 11.35s 2.95s
% Output : CNFRefutation 11.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 8 unt; 3 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 16 |; 11 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19053,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
& ~ v1_xboole_0(A) )
=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19101,conjecture,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19102,negated_conjecture,
~ ! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
inference(negated_conjecture,[status(cth)],[f19101]) ).
fof(f89193,plain,
! [A,B,C,D] :
( m1_subset_1(a_4_1_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(k1_zfmisc_1(A)))
| v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f19053]) ).
fof(f89194,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_1_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(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f89193]) ).
fof(f89330,plain,
? [A] :
( ? [B,C] :
( ? [D] :
( ~ m1_subset_1(a_4_1_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(k1_zfmisc_1(A))) )
& ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f19102]) ).
fof(f89331,plain,
? [A] :
( ? [C] :
( ? [B,D] :
( ~ m1_subset_1(a_4_1_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(k1_zfmisc_1(A))) )
& ~ v1_xboole_0(A) ),
inference(miniscoping,[status(thm)],[f89330]) ).
fof(f89332,plain,
( ~ m1_subset_1(a_4_1_relset_2(sK6524_skl,sK6526_skl,sK6525_skl,sK6527_skl),k1_zfmisc_1(k1_zfmisc_1(sK6526_skl)))
& m2_relset_1(sK6527_skl,sK6524_skl,sK6526_skl)
& m1_subset_1(sK6525_skl,k1_zfmisc_1(k1_zfmisc_1(sK6524_skl)))
& ~ v1_xboole_0(sK6524_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6524_skl,sK6525_skl,sK6526_skl,sK6527_skl]),skolemize(A,sK6524_skl),skolemize(C,sK6525_skl),skolemize(B,sK6526_skl),skolemize(D,sK6527_skl)],[f89331]) ).
fof(f89333,plain,
~ v1_xboole_0(sK6524_skl),
inference(cnf_transformation,[status(thm)],[f89332]) ).
fof(f89334,plain,
m1_subset_1(sK6525_skl,k1_zfmisc_1(k1_zfmisc_1(sK6524_skl))),
inference(cnf_transformation,[status(thm)],[f89332]) ).
fof(f89335,plain,
m2_relset_1(sK6527_skl,sK6524_skl,sK6526_skl),
inference(cnf_transformation,[status(thm)],[f89332]) ).
fof(f89336,plain,
~ m1_subset_1(a_4_1_relset_2(sK6524_skl,sK6526_skl,sK6525_skl,sK6527_skl),k1_zfmisc_1(k1_zfmisc_1(sK6526_skl))),
inference(cnf_transformation,[status(thm)],[f89332]) ).
fof(f107084,definition,
( sQ2485_spl
<=> m1_subset_1(sK6525_skl,k1_zfmisc_1(k1_zfmisc_1(sK6524_skl))) ),
introduced(definition,[new_symbols(definition,[sQ2485_spl])],[split_symbol_definition]) ).
fof(f107086,plain,
( sQ2485_spl
| ~ m1_subset_1(sK6525_skl,k1_zfmisc_1(k1_zfmisc_1(sK6524_skl))) ),
inference(component_clause,[status(thm)],[f107084]) ).
fof(f107087,definition,
( sQ2486_spl
<=> m2_relset_1(sK6527_skl,sK6524_skl,sK6526_skl) ),
introduced(definition,[new_symbols(definition,[sQ2486_spl])],[split_symbol_definition]) ).
fof(f107089,plain,
( sQ2486_spl
| ~ m2_relset_1(sK6527_skl,sK6524_skl,sK6526_skl) ),
inference(component_clause,[status(thm)],[f107087]) ).
fof(f107091,plain,
( sQ2485_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f107086,f89334]) ).
fof(f107092,plain,
sQ2485_spl,
inference(contradiction_clause,[status(thm)],[f107091]) ).
fof(f107093,plain,
( sQ2486_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f107089,f89335]) ).
fof(f107094,plain,
sQ2486_spl,
inference(contradiction_clause,[status(thm)],[f107093]) ).
fof(f107096,plain,
( ~ m2_relset_1(sK6527_skl,sK6524_skl,sK6526_skl)
| ~ m1_subset_1(sK6525_skl,k1_zfmisc_1(k1_zfmisc_1(sK6524_skl)))
| v1_xboole_0(sK6524_skl) ),
inference(resolution,[status(thm)],[f89194,f89336]) ).
fof(f107098,definition,
( sQ2487_spl
<=> v1_xboole_0(sK6524_skl) ),
introduced(definition,[new_symbols(definition,[sQ2487_spl])],[split_symbol_definition]) ).
fof(f107099,plain,
( ~ sQ2487_spl
| v1_xboole_0(sK6524_skl) ),
inference(component_clause,[status(thm)],[f107098]) ).
fof(f107101,plain,
( ~ sQ2486_spl
| ~ sQ2485_spl
| sQ2487_spl ),
inference(split_clause,[status(thm)],[f107096,f107098,f107084,f107087]) ).
fof(f107109,plain,
( ~ sQ2487_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f107099,f89333]) ).
fof(f107110,plain,
~ sQ2487_spl,
inference(contradiction_clause,[status(thm)],[f107109]) ).
fof(f107111,plain,
$false,
inference(sat_refutation,[status(thm)],[f107092,f107094,f107101,f107110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU429+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % 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 06:29:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 1.26/1.60 % Drodi V4.1.1
% 11.35/2.95 % Refutation found
% 11.35/2.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.35/2.95 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.76/3.40 % Elapsed time: 2.960468 seconds
% 1.76/3.40 % CPU time: 12.309982 seconds
% 1.76/3.40 % Total memory used: 5.327 GB
% 1.76/3.40 % Net memory used: 5.291 GB
%------------------------------------------------------------------------------