%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU449+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 : n018.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 02:20:40 PM UTC 2026
% Result : Theorem 0.16s 5.49s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 79 ( 12 unt; 11 def)
% Number of atoms : 206 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 213 ( 86 ~; 85 |; 16 &)
% ( 14 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 12 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 99 ( 89 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(B))
=> ! [E] :
( m2_relset_1(E,A,B)
=> ( r1_tarski(D,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E))
& r1_tarski(C,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(B))
=> ! [E] :
( m2_relset_1(E,A,B)
=> ( r1_tarski(D,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E))
& r1_tarski(C,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f43,axiom,
! [A,B] : r1_tarski(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k6_relset_1(A,B,C),B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
& m1_subset_1(C,k1_zfmisc_1(A)) )
=> m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(B))
=> ! [E] :
( m2_relset_1(E,A,B)
=> ( r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E)))
<=> r1_tarski(D,k8_relset_2(A,B,C,E)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,plain,
? [A,B,C] :
( ? [D] :
( ? [E] :
( ( ~ r1_tarski(D,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E))
| ~ r1_tarski(C,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E))) )
& m2_relset_1(E,A,B) )
& m1_subset_1(D,k1_zfmisc_1(B)) )
& m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
? [A,C] :
( ? [B,D] :
( ? [E] :
( ( ~ r1_tarski(D,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E))
| ~ r1_tarski(C,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E))) )
& m2_relset_1(E,A,B) )
& m1_subset_1(D,k1_zfmisc_1(B)) )
& m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f59,plain,
( ( ~ r1_tarski(sK3_skl,k8_relset_2(sK0_skl,sK2_skl,k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),sK4_skl))
| ~ r1_tarski(sK1_skl,k8_relset_2(sK2_skl,sK0_skl,k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k6_relset_1(sK0_skl,sK2_skl,sK4_skl))) )
& m2_relset_1(sK4_skl,sK0_skl,sK2_skl)
& m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl))
& m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(A,sK0_skl),skolemize(C,sK1_skl),skolemize(B,sK2_skl),skolemize(D,sK3_skl),skolemize(E,sK4_skl)],[f58]) ).
fof(f60,plain,
m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl)),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f62,plain,
m2_relset_1(sK4_skl,sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f63,plain,
( ~ r1_tarski(sK3_skl,k8_relset_2(sK0_skl,sK2_skl,k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),sK4_skl))
| ~ r1_tarski(sK1_skl,k8_relset_2(sK2_skl,sK0_skl,k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k6_relset_1(sK0_skl,sK2_skl,sK4_skl))) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f154,plain,
! [A] : r1_tarski(A,A),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f155,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f164,plain,
! [A,B,C] :
( ( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f48]) ).
fof(f165,plain,
( ! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ! [A,B,C] :
( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(miniscoping,[status(thm)],[f164]) ).
fof(f166,plain,
! [X0,X1,X2] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f168,plain,
! [A,B,C] :
( m2_relset_1(k6_relset_1(A,B,C),B,A)
| ~ m1_relset_1(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f169,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
! [A,B,C,D] :
( m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B))
| ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X1,X3,X0,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m2_relset_1(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f173,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f179,plain,
! [A,B,C] :
( ! [D] :
( ! [E] :
( ( r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E)))
<=> r1_tarski(D,k8_relset_2(A,B,C,E)) )
| ~ m2_relset_1(E,A,B) )
| ~ m1_subset_1(D,k1_zfmisc_1(B)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f180,plain,
! [A,B,C] :
( ! [D] :
( ! [E] :
( ( ( ~ r1_tarski(D,k8_relset_2(A,B,C,E))
| r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E))) )
& ( r1_tarski(D,k8_relset_2(A,B,C,E))
| ~ r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E))) ) )
| ~ m2_relset_1(E,A,B) )
| ~ m1_subset_1(D,k1_zfmisc_1(B)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(NNF_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
! [A,C] :
( ! [B,D] :
( ! [E] :
( ( ( ~ r1_tarski(D,k8_relset_2(A,B,C,E))
| r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E))) )
& ( r1_tarski(D,k8_relset_2(A,B,C,E))
| ~ r1_tarski(C,k8_relset_2(B,A,D,k6_relset_1(A,B,E))) ) )
| ~ m2_relset_1(E,A,B) )
| ~ m1_subset_1(D,k1_zfmisc_1(B)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(miniscoping,[status(thm)],[f180]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4] :
( r1_tarski(X2,k8_relset_2(X1,X3,X0,X4))
| ~ r1_tarski(X0,k8_relset_2(X3,X1,X2,k6_relset_1(X1,X3,X4)))
| ~ m2_relset_1(X4,X1,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1_tarski(X2,k8_relset_2(X1,X3,X0,X4))
| r1_tarski(X0,k8_relset_2(X3,X1,X2,k6_relset_1(X1,X3,X4)))
| ~ m2_relset_1(X4,X1,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f184,definition,
( sQ0_spl
<=> r1_tarski(sK1_skl,k8_relset_2(sK2_skl,sK0_skl,k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k6_relset_1(sK0_skl,sK2_skl,sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( sQ0_spl
| ~ r1_tarski(sK1_skl,k8_relset_2(sK2_skl,sK0_skl,k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k6_relset_1(sK0_skl,sK2_skl,sK4_skl))) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,definition,
( sQ1_spl
<=> r1_tarski(sK3_skl,k8_relset_2(sK0_skl,sK2_skl,k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( sQ1_spl
| ~ r1_tarski(sK3_skl,k8_relset_2(sK0_skl,sK2_skl,k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),sK4_skl)) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f184,f187]) ).
fof(f193,definition,
( sQ2_spl
<=> m1_subset_1(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k1_zfmisc_1(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( sQ2_spl
| ~ m1_subset_1(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k1_zfmisc_1(sK2_skl)) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ3_spl
<=> m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( sQ3_spl
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f206,plain,
( sQ1_spl
| ~ r1_tarski(k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)))
| ~ m2_relset_1(sK4_skl,sK0_skl,sK2_skl)
| ~ m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl))
| ~ m1_subset_1(k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),k1_zfmisc_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f189,f182]) ).
fof(f208,definition,
( sQ6_spl
<=> m1_subset_1(k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),k1_zfmisc_1(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ6_spl
| ~ m1_subset_1(k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),k1_zfmisc_1(sK0_skl)) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ7_spl
<=> m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( sQ7_spl
| ~ m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl)) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ8_spl
<=> m2_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( sQ8_spl
| ~ m2_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ9_spl
<=> r1_tarski(k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( sQ9_spl
| ~ r1_tarski(k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl)),k8_relset_2(sK2_skl,sK0_skl,sK3_skl,k6_relset_1(sK0_skl,sK2_skl,sK4_skl))) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ1_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f206,f208,f211,f214,f217,f187]) ).
fof(f221,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f219,f155]) ).
fof(f222,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f62]) ).
fof(f224,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f223]) ).
fof(f225,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f213,f61]) ).
fof(f226,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f225]) ).
fof(f230,plain,
( sQ6_spl
| ~ m1_subset_1(k6_relset_1(sK0_skl,sK2_skl,sK4_skl),k1_zfmisc_1(k2_zfmisc_1(sK2_skl,sK0_skl)))
| ~ m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl)) ),
inference(resolution,[status(thm)],[f210,f171]) ).
fof(f232,definition,
( sQ10_spl
<=> m1_subset_1(k6_relset_1(sK0_skl,sK2_skl,sK4_skl),k1_zfmisc_1(k2_zfmisc_1(sK2_skl,sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ10_spl
| ~ m1_subset_1(k6_relset_1(sK0_skl,sK2_skl,sK4_skl),k1_zfmisc_1(k2_zfmisc_1(sK2_skl,sK0_skl))) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ6_spl
| ~ sQ10_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f230,f211,f232,f208]) ).
fof(f236,plain,
( sQ10_spl
| ~ m2_relset_1(k6_relset_1(sK0_skl,sK2_skl,sK4_skl),sK2_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f234,f173]) ).
fof(f238,plain,
( sQ0_spl
| ~ r1_tarski(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl))
| ~ m2_relset_1(sK4_skl,sK0_skl,sK2_skl)
| ~ m1_subset_1(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k1_zfmisc_1(sK2_skl))
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f183,f186]) ).
fof(f239,definition,
( sQ11_spl
<=> r1_tarski(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( sQ11_spl
| ~ r1_tarski(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( sQ0_spl
| ~ sQ11_spl
| ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f238,f196,f193,f214,f239,f184]) ).
fof(f244,plain,
( sQ2_spl
| ~ m1_subset_1(sK4_skl,k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK2_skl)))
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f195,f171]) ).
fof(f246,definition,
( sQ12_spl
<=> m1_subset_1(sK4_skl,k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( sQ12_spl
| ~ m1_subset_1(sK4_skl,k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK2_skl))) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( sQ2_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f244,f196,f246,f193]) ).
fof(f250,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f60]) ).
fof(f251,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( sQ12_spl
| ~ m2_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f248,f173]) ).
fof(f254,plain,
( sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f252,f214,f246]) ).
fof(f255,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f155]) ).
fof(f256,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f255]) ).
fof(f322,plain,
( sQ10_spl
| ~ m1_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f169,f236]) ).
fof(f343,plain,
( sQ10_spl
| ~ m2_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f322,f166]) ).
fof(f344,plain,
( sQ10_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f343,f214,f232]) ).
fof(f345,plain,
$false,
inference(sat_refutation,[status(thm)],[f190,f220,f222,f224,f226,f235,f242,f249,f251,f254,f256,f344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU449+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.44 % Computer : n018.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Mon Sep 21 06:36:48 UTC 2026
% 0.16/5.45 % CPUTime :
% 0.16/5.46 % Drodi V4.1.1
% 0.16/5.49 % Refutation found
% 0.16/5.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/5.51 % Elapsed time: 0.060075 seconds
% 0.23/5.51 % CPU time: 0.159939 seconds
% 0.23/5.51 % Total memory used: 49.617 MB
% 0.23/5.51 % Net memory used: 49.579 MB
%------------------------------------------------------------------------------