%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU427+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:20:33 PM UTC 2026
% Result : Theorem 8.20s 1.88s
% Output : CNFRefutation 9.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 88 ( 17 unt; 8 def)
% Number of atoms : 231 ( 67 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 236 ( 93 ~; 82 |; 34 &)
% ( 13 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 9 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-4 aty)
% Number of variables : 111 ( 96 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [A,B] :
( r1_tarski(A,B)
<=> ! [C] :
( r2_hidden(C,A)
=> r2_hidden(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A] :
( A = k1_xboole_0
<=> ! [B] : ~ r2_hidden(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [A,B] :
( r1_tarski(A,B)
=> k2_xboole_0(A,B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f431,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k4_subset_1(A,B,C) = k4_subset_1(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f433,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k4_subset_1(A,B,C) = k2_xboole_0(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f548,axiom,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2547,axiom,
? [A] :
( v1_finset_1(A)
& v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A)
& v1_xboole_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4495,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
<=> C = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4498,conjecture,
! [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)))
=> ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
=> k8_relset_2(A,B,k4_subset_1(A,C,D),E) = k8_relset_2(A,B,D,E) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4499,negated_conjecture,
~ ! [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)))
=> ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
=> k8_relset_2(A,B,k4_subset_1(A,C,D),E) = k8_relset_2(A,B,D,E) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4498]) ).
fof(f4523,plain,
! [A,B] :
( r1_tarski(A,B)
<=> ! [C] :
( r2_hidden(C,B)
| ~ r2_hidden(C,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f4524,plain,
! [A,B] :
( ( ? [C] :
( ~ r2_hidden(C,B)
& r2_hidden(C,A) )
| r1_tarski(A,B) )
& ( ! [C] :
( r2_hidden(C,B)
| ~ r2_hidden(C,A) )
| ~ r1_tarski(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f4523]) ).
fof(f4525,plain,
( ! [A,B] :
( ? [C] :
( ~ r2_hidden(C,B)
& r2_hidden(C,A) )
| r1_tarski(A,B) )
& ! [A,B] :
( ! [C] :
( r2_hidden(C,B)
| ~ r2_hidden(C,A) )
| ~ r1_tarski(A,B) ) ),
inference(miniscoping,[status(thm)],[f4524]) ).
fof(f4526,plain,
( ! [A,B] :
( ( ~ r2_hidden(sK3_skl(B,A),B)
& r2_hidden(sK3_skl(B,A),A) )
| r1_tarski(A,B) )
& ! [A,B] :
( ! [C] :
( r2_hidden(C,B)
| ~ r2_hidden(C,A) )
| ~ r1_tarski(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(C,sK3_skl(B,A))],[f4525]) ).
fof(f4528,plain,
! [X0,X1] :
( r2_hidden(sK3_skl(X1,X0),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4526]) ).
fof(f4589,plain,
! [A] :
( ( ? [B] : r2_hidden(B,A)
| A = k1_xboole_0 )
& ( ! [B] : ~ r2_hidden(B,A)
| A != k1_xboole_0 ) ),
inference(NNF_transformation,[status(thm)],[f29]) ).
fof(f4590,plain,
( ! [A] :
( ? [B] : r2_hidden(B,A)
| A = k1_xboole_0 )
& ! [A] :
( ! [B] : ~ r2_hidden(B,A)
| A != k1_xboole_0 ) ),
inference(miniscoping,[status(thm)],[f4589]) ).
fof(f4591,plain,
( ! [A] :
( r2_hidden(sK22_skl(A),A)
| A = k1_xboole_0 )
& ! [A] :
( ! [B] : ~ r2_hidden(B,A)
| A != k1_xboole_0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl]),skolemize(B,sK22_skl(A))],[f4590]) ).
fof(f4592,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| X0 != k1_xboole_0 ),
inference(cnf_transformation,[status(thm)],[f4591]) ).
fof(f4746,plain,
! [A,B] :
( k2_xboole_0(A,B) = B
| ~ r1_tarski(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f81]) ).
fof(f4747,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4746]) ).
fof(f5577,plain,
! [A,B,C] :
( k4_subset_1(A,B,C) = k4_subset_1(A,C,B)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f431]) ).
fof(f5578,plain,
! [X0,X1,X2] :
( k4_subset_1(X1,X0,X2) = k4_subset_1(X1,X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f5577]) ).
fof(f5582,plain,
! [A,B,C] :
( k4_subset_1(A,B,C) = k2_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f433]) ).
fof(f5583,plain,
! [X0,X1,X2] :
( k4_subset_1(X1,X0,X2) = k2_xboole_0(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f5582]) ).
fof(f5852,plain,
v1_relat_1(k1_xboole_0),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f11858,plain,
( v1_finset_1(sK730_skl)
& v2_funct_1(sK730_skl)
& v1_funct_1(sK730_skl)
& v1_relat_1(sK730_skl)
& v1_xboole_0(sK730_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK730_skl]),skolemize(A,sK730_skl)],[f2547]) ).
fof(f11859,plain,
v1_xboole_0(sK730_skl),
inference(cnf_transformation,[status(thm)],[f11858]) ).
fof(f17575,plain,
! [A,B,C] :
( ! [D] :
( ( k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0
<=> C = k1_xboole_0 )
| ~ 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)],[f4495]) ).
fof(f17576,plain,
! [A,B,C] :
( ! [D] :
( ( ( C != k1_xboole_0
| k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0 )
& ( C = k1_xboole_0
| k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) != k1_xboole_0 ) )
| ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(NNF_transformation,[status(thm)],[f17575]) ).
fof(f17577,plain,
! [A,C] :
( ! [B,D] :
( ( ( C != k1_xboole_0
| k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) = k1_xboole_0 )
& ( C = k1_xboole_0
| k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)) != k1_xboole_0 ) )
| ~ m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) )
| ~ m1_subset_1(C,k1_zfmisc_1(A)) ),
inference(miniscoping,[status(thm)],[f17576]) ).
fof(f17578,plain,
! [X0,X1,X2,X3] :
( X0 = k1_xboole_0
| k4_relset_2(k1_zfmisc_1(X1),X3,k6_relset_2(X3,X1,X2),k3_pua2mss1(X0)) != k1_xboole_0
| ~ 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)],[f17577]) ).
fof(f17589,plain,
? [A,B,C] :
( ? [D] :
( ? [E] :
( k8_relset_2(A,B,k4_subset_1(A,C,D),E) != k8_relset_2(A,B,D,E)
& k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
& 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)],[f4499]) ).
fof(f17590,plain,
? [A,C] :
( ? [D] :
( ? [B,E] :
( k8_relset_2(A,B,k4_subset_1(A,C,D),E) != k8_relset_2(A,B,D,E)
& k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,E),k3_pua2mss1(C)) = k1_xboole_0
& 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)],[f17589]) ).
fof(f17591,plain,
( k8_relset_2(sK1206_skl,sK1209_skl,k4_subset_1(sK1206_skl,sK1207_skl,sK1208_skl),sK1210_skl) != k8_relset_2(sK1206_skl,sK1209_skl,sK1208_skl,sK1210_skl)
& k4_relset_2(k1_zfmisc_1(sK1206_skl),sK1209_skl,k6_relset_2(sK1209_skl,sK1206_skl,sK1210_skl),k3_pua2mss1(sK1207_skl)) = k1_xboole_0
& m1_subset_1(sK1210_skl,k1_zfmisc_1(k2_zfmisc_1(sK1206_skl,sK1209_skl)))
& m1_subset_1(sK1208_skl,k1_zfmisc_1(sK1206_skl))
& m1_subset_1(sK1207_skl,k1_zfmisc_1(sK1206_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1206_skl,sK1207_skl,sK1208_skl,sK1209_skl,sK1210_skl]),skolemize(A,sK1206_skl),skolemize(C,sK1207_skl),skolemize(D,sK1208_skl),skolemize(B,sK1209_skl),skolemize(E,sK1210_skl)],[f17590]) ).
fof(f17592,plain,
m1_subset_1(sK1207_skl,k1_zfmisc_1(sK1206_skl)),
inference(cnf_transformation,[status(thm)],[f17591]) ).
fof(f17593,plain,
m1_subset_1(sK1208_skl,k1_zfmisc_1(sK1206_skl)),
inference(cnf_transformation,[status(thm)],[f17591]) ).
fof(f17594,plain,
m1_subset_1(sK1210_skl,k1_zfmisc_1(k2_zfmisc_1(sK1206_skl,sK1209_skl))),
inference(cnf_transformation,[status(thm)],[f17591]) ).
fof(f17595,plain,
k4_relset_2(k1_zfmisc_1(sK1206_skl),sK1209_skl,k6_relset_2(sK1209_skl,sK1206_skl,sK1210_skl),k3_pua2mss1(sK1207_skl)) = k1_xboole_0,
inference(cnf_transformation,[status(thm)],[f17591]) ).
fof(f17596,plain,
k8_relset_2(sK1206_skl,sK1209_skl,k4_subset_1(sK1206_skl,sK1207_skl,sK1208_skl),sK1210_skl) != k8_relset_2(sK1206_skl,sK1209_skl,sK1208_skl,sK1210_skl),
inference(cnf_transformation,[status(thm)],[f17591]) ).
fof(f21070,plain,
! [X0] : ~ r2_hidden(X0,k1_xboole_0),
inference(destructive_equality_resolution,[status(thm)],[f4592]) ).
fof(f22245,plain,
! [X0] : r1_tarski(k1_xboole_0,X0),
inference(resolution,[status(thm)],[f4528,f21070]) ).
fof(f22314,plain,
! [X0] :
( k4_subset_1(sK1206_skl,X0,sK1207_skl) = k4_subset_1(sK1206_skl,sK1207_skl,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1206_skl)) ),
inference(resolution,[status(thm)],[f5578,f17592]) ).
fof(f22337,plain,
k4_subset_1(sK1206_skl,sK1208_skl,sK1207_skl) = k4_subset_1(sK1206_skl,sK1207_skl,sK1208_skl),
inference(resolution,[status(thm)],[f22314,f17593]) ).
fof(f22343,definition,
( sQ590_spl
<=> m1_subset_1(sK1207_skl,k1_zfmisc_1(sK1206_skl)) ),
introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition]) ).
fof(f22345,plain,
( sQ590_spl
| ~ m1_subset_1(sK1207_skl,k1_zfmisc_1(sK1206_skl)) ),
inference(component_clause,[status(thm)],[f22343]) ).
fof(f22359,plain,
( sQ590_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22345,f17592]) ).
fof(f22360,plain,
sQ590_spl,
inference(contradiction_clause,[status(thm)],[f22359]) ).
fof(f22393,plain,
! [X0] :
( k4_subset_1(sK1206_skl,X0,sK1208_skl) = k2_xboole_0(X0,sK1208_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1206_skl)) ),
inference(resolution,[status(thm)],[f5583,f17593]) ).
fof(f22394,plain,
! [X0] :
( k4_subset_1(sK1206_skl,X0,sK1207_skl) = k2_xboole_0(X0,sK1207_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1206_skl)) ),
inference(resolution,[status(thm)],[f5583,f17592]) ).
fof(f22425,definition,
( sQ595_spl
<=> m1_subset_1(sK1208_skl,k1_zfmisc_1(sK1206_skl)) ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f22427,plain,
( sQ595_spl
| ~ m1_subset_1(sK1208_skl,k1_zfmisc_1(sK1206_skl)) ),
inference(component_clause,[status(thm)],[f22425]) ).
fof(f22433,plain,
( sQ595_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22427,f17593]) ).
fof(f22434,plain,
sQ595_spl,
inference(contradiction_clause,[status(thm)],[f22433]) ).
fof(f23152,plain,
( k4_subset_1(sK1206_skl,sK1207_skl,sK1208_skl) = k2_xboole_0(sK1208_skl,sK1207_skl)
| ~ m1_subset_1(sK1208_skl,k1_zfmisc_1(sK1206_skl)) ),
inference(paramodulation,[status(thm)],[f22337,f22394]) ).
fof(f23155,definition,
( sQ631_spl
<=> k4_subset_1(sK1206_skl,sK1207_skl,sK1208_skl) = k2_xboole_0(sK1208_skl,sK1207_skl) ),
introduced(definition,[new_symbols(definition,[sQ631_spl])],[split_symbol_definition]) ).
fof(f23156,plain,
( ~ sQ631_spl
| k4_subset_1(sK1206_skl,sK1207_skl,sK1208_skl) = k2_xboole_0(sK1208_skl,sK1207_skl) ),
inference(component_clause,[status(thm)],[f23155]) ).
fof(f23158,plain,
( sQ631_spl
| ~ sQ595_spl ),
inference(split_clause,[status(thm)],[f23152,f22425,f23155]) ).
fof(f23175,plain,
( ~ sQ631_spl
| k8_relset_2(sK1206_skl,sK1209_skl,k2_xboole_0(sK1208_skl,sK1207_skl),sK1210_skl) != k8_relset_2(sK1206_skl,sK1209_skl,sK1208_skl,sK1210_skl) ),
inference(backward_demodulation,[status(thm)],[f23156,f17596]) ).
fof(f23176,plain,
( ~ sQ631_spl
| k2_xboole_0(sK1208_skl,sK1207_skl) = k2_xboole_0(sK1207_skl,sK1208_skl)
| ~ m1_subset_1(sK1207_skl,k1_zfmisc_1(sK1206_skl)) ),
inference(paramodulation,[status(thm)],[f23156,f22393]) ).
fof(f23179,definition,
( sQ634_spl
<=> k2_xboole_0(sK1208_skl,sK1207_skl) = k2_xboole_0(sK1207_skl,sK1208_skl) ),
introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).
fof(f23180,plain,
( ~ sQ634_spl
| k2_xboole_0(sK1208_skl,sK1207_skl) = k2_xboole_0(sK1207_skl,sK1208_skl) ),
inference(component_clause,[status(thm)],[f23179]) ).
fof(f23182,plain,
( ~ sQ631_spl
| sQ634_spl
| ~ sQ590_spl ),
inference(split_clause,[status(thm)],[f23176,f22343,f23179,f23155]) ).
fof(f23288,plain,
( ~ sQ631_spl
| ~ sQ634_spl
| k8_relset_2(sK1206_skl,sK1209_skl,k2_xboole_0(sK1207_skl,sK1208_skl),sK1210_skl) != k8_relset_2(sK1206_skl,sK1209_skl,sK1208_skl,sK1210_skl) ),
inference(backward_demodulation,[status(thm)],[f23180,f23175]) ).
fof(f23309,plain,
! [X0] :
( X0 = k1_xboole_0
| k4_relset_2(k1_zfmisc_1(sK1206_skl),sK1209_skl,k6_relset_2(sK1209_skl,sK1206_skl,sK1210_skl),k3_pua2mss1(X0)) != k1_xboole_0
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1206_skl)) ),
inference(resolution,[status(thm)],[f17578,f17594]) ).
fof(f24182,plain,
( sK1207_skl = k1_xboole_0
| k4_relset_2(k1_zfmisc_1(sK1206_skl),sK1209_skl,k6_relset_2(sK1209_skl,sK1206_skl,sK1210_skl),k3_pua2mss1(sK1207_skl)) != k1_xboole_0 ),
inference(resolution,[status(thm)],[f23309,f17592]) ).
fof(f24190,definition,
( sQ662_spl
<=> k4_relset_2(k1_zfmisc_1(sK1206_skl),sK1209_skl,k6_relset_2(sK1209_skl,sK1206_skl,sK1210_skl),k3_pua2mss1(sK1207_skl)) = k1_xboole_0 ),
introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).
fof(f24192,plain,
( sQ662_spl
| k4_relset_2(k1_zfmisc_1(sK1206_skl),sK1209_skl,k6_relset_2(sK1209_skl,sK1206_skl,sK1210_skl),k3_pua2mss1(sK1207_skl)) != k1_xboole_0 ),
inference(component_clause,[status(thm)],[f24190]) ).
fof(f24193,definition,
( sQ663_spl
<=> sK1207_skl = k1_xboole_0 ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f24194,plain,
( ~ sQ663_spl
| sK1207_skl = k1_xboole_0 ),
inference(component_clause,[status(thm)],[f24193]) ).
fof(f24196,plain,
( sQ663_spl
| ~ sQ662_spl ),
inference(split_clause,[status(thm)],[f24182,f24190,f24193]) ).
fof(f24208,plain,
( sQ662_spl
| k1_xboole_0 != k1_xboole_0 ),
inference(forward_demodulation,[status(thm)],[f17595,f24192]) ).
fof(f24209,plain,
( sQ662_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f24208]) ).
fof(f24210,plain,
sQ662_spl,
inference(contradiction_clause,[status(thm)],[f24209]) ).
fof(f24266,plain,
( ~ sQ631_spl
| ~ sQ634_spl
| ~ sQ663_spl
| k8_relset_2(sK1206_skl,sK1209_skl,k2_xboole_0(k1_xboole_0,sK1208_skl),sK1210_skl) != k8_relset_2(sK1206_skl,sK1209_skl,sK1208_skl,sK1210_skl) ),
inference(forward_demodulation,[status(thm)],[f24194,f23288]) ).
fof(f24448,definition,
! [X0] :
( sQ668_spl
<=> ~ v1_xboole_0(X0) ),
introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).
fof(f24449,plain,
! [X0] :
( ~ sQ668_spl
| ~ v1_xboole_0(X0) ),
inference(component_clause,[status(thm)],[f24448]) ).
fof(f24465,definition,
( sQ670_spl
<=> v1_relat_1(k1_xboole_0) ),
introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).
fof(f24467,plain,
( sQ670_spl
| ~ v1_relat_1(k1_xboole_0) ),
inference(component_clause,[status(thm)],[f24465]) ).
fof(f24469,plain,
( sQ670_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24467,f5852]) ).
fof(f24470,plain,
sQ670_spl,
inference(contradiction_clause,[status(thm)],[f24469]) ).
fof(f24491,plain,
( ~ sQ668_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f11859,f24449]) ).
fof(f24493,plain,
~ sQ668_spl,
inference(contradiction_clause,[status(thm)],[f24491]) ).
fof(f24997,plain,
! [X0] : k2_xboole_0(k1_xboole_0,X0) = X0,
inference(resolution,[status(thm)],[f4747,f22245]) ).
fof(f25069,plain,
( ~ sQ631_spl
| ~ sQ634_spl
| ~ sQ663_spl
| k8_relset_2(sK1206_skl,sK1209_skl,sK1208_skl,sK1210_skl) != k8_relset_2(sK1206_skl,sK1209_skl,sK1208_skl,sK1210_skl) ),
inference(forward_demodulation,[status(thm)],[f24997,f24266]) ).
fof(f25070,plain,
( ~ sQ631_spl
| ~ sQ634_spl
| ~ sQ663_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f25069]) ).
fof(f25071,plain,
( ~ sQ631_spl
| ~ sQ634_spl
| ~ sQ663_spl ),
inference(contradiction_clause,[status(thm)],[f25070]) ).
fof(f25072,plain,
$false,
inference(sat_refutation,[status(thm)],[f22360,f22434,f23158,f23182,f24196,f24210,f24470,f24493,f25071]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU427+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46 % Computer : n013.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Mon Sep 21 06:26:52 UTC 2026
% 0.17/0.47 % CPUTime :
% 0.53/0.80 % Drodi V4.1.1
% 8.20/1.88 % Refutation found
% 8.20/1.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.20/1.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.90/2.02 % Elapsed time: 1.531931 seconds
% 0.90/2.02 % CPU time: 8.981809 seconds
% 0.90/2.02 % Total memory used: 776.011 MB
% 0.90/2.02 % Net memory used: 763.451 MB
%------------------------------------------------------------------------------