%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU450+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 8.07s 1.56s
% Output : CNFRefutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of formulae : 129 ( 12 unt; 22 def)
% Number of atoms : 360 ( 23 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 398 ( 167 ~; 168 |; 21 &)
% ( 26 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 23 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 128 ( 118 !; 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)
=> ( k8_relset_2(B,A,D,k6_relset_1(A,B,E)) = k8_relset_2(B,A,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E),k6_relset_1(A,B,E))
& k8_relset_2(A,B,C,E) = k8_relset_2(A,B,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E)),E) ) ) ) ),
file('/export/starexec/sandbox/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)
=> ( k8_relset_2(B,A,D,k6_relset_1(A,B,E)) = k8_relset_2(B,A,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E),k6_relset_1(A,B,E))
& k8_relset_2(A,B,C,E) = k8_relset_2(A,B,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E)),E) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [A,B] :
( A = B
<=> ( r1_tarski(B,A)
& r1_tarski(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k6_relset_1(A,B,C),B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,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/sandbox/benchmark/theBenchmark.p') ).
fof(f24,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/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(A))
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> ( r1_tarski(C,D)
=> r1_tarski(k8_relset_2(A,B,D,E),k8_relset_2(A,B,C,E)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,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/sandbox/benchmark/theBenchmark.p') ).
fof(f59,plain,
? [A,B,C] :
( ? [D] :
( ? [E] :
( ( k8_relset_2(B,A,D,k6_relset_1(A,B,E)) != k8_relset_2(B,A,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E),k6_relset_1(A,B,E))
| k8_relset_2(A,B,C,E) != k8_relset_2(A,B,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E)),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(f60,plain,
? [A,C] :
( ? [B,D] :
( ? [E] :
( ( k8_relset_2(B,A,D,k6_relset_1(A,B,E)) != k8_relset_2(B,A,k8_relset_2(A,B,k8_relset_2(B,A,D,k6_relset_1(A,B,E)),E),k6_relset_1(A,B,E))
| k8_relset_2(A,B,C,E) != k8_relset_2(A,B,k8_relset_2(B,A,k8_relset_2(A,B,C,E),k6_relset_1(A,B,E)),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)],[f59]) ).
fof(f61,plain,
( ( 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,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),k6_relset_1(sK0_skl,sK2_skl,sK4_skl))
| k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl) != k8_relset_2(sK0_skl,sK2_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)),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)],[f60]) ).
fof(f62,plain,
m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl)),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f64,plain,
m2_relset_1(sK4_skl,sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f65,plain,
( 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,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),k6_relset_1(sK0_skl,sK2_skl,sK4_skl))
| k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl) != k8_relset_2(sK0_skl,sK2_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)),sK4_skl) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f73,plain,
! [A,B] :
( ( ~ r1_tarski(B,A)
| ~ r1_tarski(A,B)
| A = B )
& ( ( r1_tarski(B,A)
& r1_tarski(A,B) )
| A != B ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f74,plain,
( ! [A,B] :
( ~ r1_tarski(B,A)
| ~ r1_tarski(A,B)
| A = B )
& ! [A,B] :
( ( r1_tarski(B,A)
& r1_tarski(A,B) )
| A != B ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f77,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f91,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)],[f15]) ).
fof(f92,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)],[f91]) ).
fof(f97,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)],[f18]) ).
fof(f98,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)],[f97]) ).
fof(f103,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)],[f24]) ).
fof(f104,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)],[f103]) ).
fof(f158,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)],[f47]) ).
fof(f159,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)],[f158]) ).
fof(f160,plain,
! [X0,X1,X2] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f168,plain,
! [A,B,C] :
( ! [D] :
( ! [E] :
( r1_tarski(k8_relset_2(A,B,D,E),k8_relset_2(A,B,C,E))
| ~ r1_tarski(C,D)
| ~ m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
| ~ m1_subset_1(D,k1_zfmisc_1(A)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f169,plain,
! [A,C] :
( ! [D] :
( ! [B,E] :
( r1_tarski(k8_relset_2(A,B,D,E),k8_relset_2(A,B,C,E))
| ~ r1_tarski(C,D)
| ~ m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
| ~ m1_subset_1(D,k1_zfmisc_1(A)) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(miniscoping,[status(thm)],[f168]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4] :
( r1_tarski(k8_relset_2(X1,X4,X2,X3),k8_relset_2(X1,X4,X0,X3))
| ~ r1_tarski(X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f181,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)],[f55]) ).
fof(f182,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)],[f181]) ).
fof(f183,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)],[f182]) ).
fof(f184,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)],[f183]) ).
fof(f185,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)],[f183]) ).
fof(f194,definition,
( sQ0_spl
<=> k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl) = k8_relset_2(sK0_skl,sK2_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)),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( sQ0_spl
| k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl) != k8_relset_2(sK0_skl,sK2_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)),sK4_skl) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ1_spl
<=> 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,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),k6_relset_1(sK0_skl,sK2_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( sQ1_spl
| 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,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),k6_relset_1(sK0_skl,sK2_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f65,f194,f197]) ).
fof(f201,plain,
! [X0] : r1_tarski(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f75]) ).
fof(f204,plain,
( sQ0_spl
| ~ r1_tarski(k8_relset_2(sK0_skl,sK2_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)),sK4_skl),k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl))
| ~ r1_tarski(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k8_relset_2(sK0_skl,sK2_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)),sK4_skl)) ),
inference(resolution,[status(thm)],[f77,f196]) ).
fof(f206,definition,
( sQ2_spl
<=> r1_tarski(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k8_relset_2(sK0_skl,sK2_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)),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( sQ2_spl
| ~ r1_tarski(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k8_relset_2(sK0_skl,sK2_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)),sK4_skl)) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ3_spl
<=> r1_tarski(k8_relset_2(sK0_skl,sK2_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)),sK4_skl),k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( sQ3_spl
| ~ r1_tarski(k8_relset_2(sK0_skl,sK2_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)),sK4_skl),k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl)) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f204,f206,f209,f194]) ).
fof(f215,definition,
( sQ4_spl
<=> m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( sQ4_spl
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f221,definition,
( sQ6_spl
<=> m2_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( sQ6_spl
| ~ m2_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f228,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f64]) ).
fof(f229,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f62]) ).
fof(f231,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ2_spl
| ~ r1_tarski(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)),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(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k1_zfmisc_1(sK2_skl))
| ~ m1_subset_1(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)),k1_zfmisc_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f208,f184]) ).
fof(f233,definition,
( sQ8_spl
<=> m1_subset_1(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)),k1_zfmisc_1(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( sQ8_spl
| ~ m1_subset_1(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)),k1_zfmisc_1(sK0_skl)) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ9_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,[sQ9_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ9_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)],[f236]) ).
fof(f239,definition,
( sQ10_spl
<=> r1_tarski(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)),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,[sQ10_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( sQ10_spl
| ~ r1_tarski(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)),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)],[f239]) ).
fof(f242,plain,
( sQ2_spl
| ~ sQ10_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f232,f233,f236,f221,f239,f206]) ).
fof(f243,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f201]) ).
fof(f244,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ1_spl
| ~ r1_tarski(k8_relset_2(sK2_skl,sK0_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),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)))
| ~ 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,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),k6_relset_1(sK0_skl,sK2_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f199,f77]) ).
fof(f247,definition,
( sQ11_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,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),k6_relset_1(sK0_skl,sK2_skl,sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( sQ11_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,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),k6_relset_1(sK0_skl,sK2_skl,sK4_skl))) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ12_spl
<=> r1_tarski(k8_relset_2(sK2_skl,sK0_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),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,[sQ12_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( sQ12_spl
| ~ r1_tarski(k8_relset_2(sK2_skl,sK0_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),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)],[f250]) ).
fof(f253,plain,
( sQ1_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f245,f247,f250,f197]) ).
fof(f264,definition,
( sQ13_spl
<=> m2_relset_1(k6_relset_1(sK0_skl,sK2_skl,sK4_skl),sK2_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( sQ13_spl
| ~ m2_relset_1(k6_relset_1(sK0_skl,sK2_skl,sK4_skl),sK2_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f276,definition,
( sQ16_spl
<=> m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( sQ16_spl
| ~ m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl)) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f287,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f63]) ).
fof(f288,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f287]) ).
fof(f293,plain,
( sQ11_spl
| ~ r1_tarski(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),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))
| ~ m2_relset_1(sK4_skl,sK0_skl,sK2_skl)
| ~ m1_subset_1(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),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)],[f249,f185]) ).
fof(f295,definition,
( sQ19_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,[sQ19_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( sQ19_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)],[f295]) ).
fof(f298,definition,
( sQ20_spl
<=> m1_subset_1(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),k1_zfmisc_1(sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( sQ20_spl
| ~ m1_subset_1(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),k1_zfmisc_1(sK2_skl)) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ21_spl
<=> r1_tarski(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),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,[sQ21_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( sQ21_spl
| ~ r1_tarski(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),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)],[f301]) ).
fof(f304,plain,
( sQ11_spl
| ~ sQ21_spl
| ~ sQ6_spl
| ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f293,f295,f298,f221,f301,f247]) ).
fof(f309,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f303,f201]) ).
fof(f310,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f309]) ).
fof(f335,plain,
( sQ13_spl
| ~ m1_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f92,f266]) ).
fof(f388,plain,
( sQ9_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)],[f98,f238]) ).
fof(f389,plain,
( sQ20_spl
| ~ m1_subset_1(sK4_skl,k1_zfmisc_1(k2_zfmisc_1(sK0_skl,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)],[f98,f300]) ).
fof(f391,plain,
( sQ19_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)],[f98,f297]) ).
fof(f393,plain,
( sQ8_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(k8_relset_2(sK0_skl,sK2_skl,sK1_skl,sK4_skl),k1_zfmisc_1(sK2_skl)) ),
inference(resolution,[status(thm)],[f98,f235]) ).
fof(f394,definition,
( sQ33_spl
<=> m1_subset_1(sK4_skl,k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ33_spl
| ~ m1_subset_1(sK4_skl,k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK2_skl))) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( sQ9_spl
| ~ sQ33_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f388,f215,f394,f236]) ).
fof(f398,plain,
( sQ20_spl
| ~ sQ33_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f389,f295,f394,f298]) ).
fof(f400,definition,
( sQ34_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,[sQ34_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ34_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)],[f400]) ).
fof(f403,plain,
( sQ19_spl
| ~ sQ34_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f391,f276,f400,f295]) ).
fof(f405,plain,
( sQ8_spl
| ~ sQ34_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f393,f236,f400,f233]) ).
fof(f407,plain,
( sQ33_spl
| ~ m2_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f396,f104]) ).
fof(f409,plain,
( sQ33_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f407,f221,f394]) ).
fof(f413,plain,
( sQ34_spl
| ~ m2_relset_1(k6_relset_1(sK0_skl,sK2_skl,sK4_skl),sK2_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f402,f104]) ).
fof(f422,plain,
( sQ13_spl
| ~ m2_relset_1(sK4_skl,sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f160,f335]) ).
fof(f423,plain,
( sQ13_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f422,f221,f264]) ).
fof(f425,plain,
( sQ34_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f413,f264,f400]) ).
fof(f686,plain,
( sQ12_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))
| ~ 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(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),k1_zfmisc_1(sK2_skl))
| ~ m1_subset_1(sK3_skl,k1_zfmisc_1(sK2_skl)) ),
inference(resolution,[status(thm)],[f170,f252]) ).
fof(f689,definition,
( sQ40_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,[sQ40_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( sQ40_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)],[f689]) ).
fof(f692,plain,
( sQ12_spl
| ~ sQ40_spl
| ~ sQ34_spl
| ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f686,f276,f298,f400,f689,f250]) ).
fof(f710,definition,
( sQ44_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,[sQ44_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( sQ44_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)],[f710]) ).
fof(f1726,plain,
( sQ3_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)))
| ~ m1_subset_1(sK4_skl,k1_zfmisc_1(k2_zfmisc_1(sK0_skl,sK2_skl)))
| ~ m1_subset_1(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)),k1_zfmisc_1(sK0_skl))
| ~ m1_subset_1(sK1_skl,k1_zfmisc_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f211,f170]) ).
fof(f1729,definition,
( sQ132_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,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1731,plain,
( sQ132_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)],[f1729]) ).
fof(f1732,plain,
( sQ3_spl
| ~ sQ132_spl
| ~ sQ33_spl
| ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1726,f215,f233,f394,f1729,f209]) ).
fof(f1768,plain,
( sQ40_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)],[f691,f184]) ).
fof(f1770,definition,
( sQ135_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,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
( sQ135_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)],[f1770]) ).
fof(f1773,plain,
( sQ40_spl
| ~ sQ135_spl
| ~ sQ6_spl
| ~ sQ16_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1768,f295,f276,f221,f1770,f689]) ).
fof(f1774,plain,
( sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1772,f201]) ).
fof(f1775,plain,
sQ135_spl,
inference(contradiction_clause,[status(thm)],[f1774]) ).
fof(f6923,plain,
( sQ132_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)],[f1731,f185]) ).
fof(f6926,plain,
( sQ132_spl
| ~ sQ44_spl
| ~ sQ6_spl
| ~ sQ9_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f6923,f215,f236,f221,f710,f1729]) ).
fof(f6931,plain,
( sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f712,f201]) ).
fof(f6932,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f6931]) ).
fof(f6933,plain,
$false,
inference(sat_refutation,[status(thm)],[f200,f212,f229,f231,f242,f244,f253,f288,f304,f310,f397,f398,f403,f405,f409,f423,f425,f692,f1732,f1773,f1775,f6926,f6932]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU450+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n012.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 06:34:54 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 8.07/1.56 % Refutation found
% 8.07/1.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.07/1.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.07/1.62 % Elapsed time: 1.240399 seconds
% 8.07/1.62 % CPU time: 9.618479 seconds
% 8.07/1.62 % Total memory used: 256.701 MB
% 8.07/1.62 % Net memory used: 238.144 MB
%------------------------------------------------------------------------------