%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET614+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:10:14 PM UTC 2026
% Result : Theorem 241.85s 31.02s
% Output : CNFRefutation 197.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 12 unt; 12 def)
% Number of atoms : 239 ( 24 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 252 ( 104 ~; 108 |; 23 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 96 ( 91 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,C)
| member(D,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( ~ member(D,C)
& member(D,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,C] :
( B = C
<=> ( subset(C,B)
& subset(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [B,C] :
( B = C
<=> ! [D] :
( member(D,B)
<=> member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
! [B,C,D] : difference(difference(B,C),D) = difference(B,union(C,D)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [B,C,D] : difference(difference(B,C),D) = difference(B,union(C,D)),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [B,C,D] :
( ( ( ~ member(D,C)
& ~ member(D,B) )
| member(D,union(B,C)) )
& ( member(D,C)
| member(D,B)
| ~ member(D,union(B,C)) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
( ! [B,C,D] :
( ( ~ member(D,C)
& ~ member(D,B) )
| member(D,union(B,C)) )
& ! [B,C,D] :
( member(D,C)
| member(D,B)
| ~ member(D,union(B,C)) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ member(X0,X2)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f15,plain,
! [B,C,D] :
( ( member(D,C)
| ~ member(D,B)
| member(D,difference(B,C)) )
& ( ( ~ member(D,C)
& member(D,B) )
| ~ member(D,difference(B,C)) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
( ! [B,C,D] :
( member(D,C)
| ~ member(D,B)
| member(D,difference(B,C)) )
& ! [B,C,D] :
( ( ~ member(D,C)
& member(D,B) )
| ~ member(D,difference(B,C)) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,difference(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ member(X0,X2)
| ~ member(X0,difference(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f19,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,X1)
| member(X0,difference(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f20,plain,
! [B,C] :
( ( ~ subset(C,B)
| ~ subset(B,C)
| B = C )
& ( ( subset(C,B)
& subset(B,C) )
| B != C ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f21,plain,
( ! [B,C] :
( ~ subset(C,B)
| ~ subset(B,C)
| B = C )
& ! [B,C] :
( ( subset(C,B)
& subset(B,C) )
| B != C ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( subset(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f34,plain,
! [B,C] :
( ( ? [D] :
( ( member(D,C)
| member(D,B) )
& ( ~ member(D,C)
| ~ member(D,B) ) )
| B = C )
& ( ! [D] :
( ( ~ member(D,C)
| member(D,B) )
& ( member(D,C)
| ~ member(D,B) ) )
| B != C ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f35,plain,
( ! [B,C] :
( ? [D] :
( ( member(D,C)
| member(D,B) )
& ( ~ member(D,C)
| ~ member(D,B) ) )
| B = C )
& ! [B,C] :
( ( ! [D] :
( ~ member(D,C)
| member(D,B) )
& ! [D] :
( member(D,C)
| ~ member(D,B) ) )
| B != C ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f36,plain,
( ! [B,C] :
( ( ( member(sK1_skl(C,B),C)
| member(sK1_skl(C,B),B) )
& ( ~ member(sK1_skl(C,B),C)
| ~ member(sK1_skl(C,B),B) ) )
| B = C )
& ! [B,C] :
( ( ! [D] :
( ~ member(D,C)
| member(D,B) )
& ! [D] :
( member(D,C)
| ~ member(D,B) ) )
| B != C ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f35]) ).
fof(f39,plain,
! [X0,X1] :
( ~ member(sK1_skl(X1,X0),X1)
| ~ member(sK1_skl(X1,X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f40,plain,
! [X0,X1] :
( member(sK1_skl(X1,X0),X1)
| member(sK1_skl(X1,X0),X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f41,plain,
? [B,C,D] : difference(difference(B,C),D) != difference(B,union(C,D)),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
difference(difference(sK2_skl,sK3_skl),sK4_skl) != difference(sK2_skl,union(sK3_skl,sK4_skl)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl),skolemize(D,sK4_skl)],[f41]) ).
fof(f43,plain,
difference(difference(sK2_skl,sK3_skl),sK4_skl) != difference(sK2_skl,union(sK3_skl,sK4_skl)),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X0] : subset(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f22]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,difference(difference(X2,X1),X3))
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f18,f17]) ).
fof(f67,plain,
( ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(difference(sK2_skl,sK3_skl),sK4_skl))
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(sK2_skl,union(sK3_skl,sK4_skl))) ),
inference(resolution,[status(thm)],[f39,f43]) ).
fof(f75,definition,
( sQ4_spl
<=> member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(sK2_skl,union(sK3_skl,sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( ~ sQ4_spl
| member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(sK2_skl,union(sK3_skl,sK4_skl))) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f77,plain,
( sQ4_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(sK2_skl,union(sK3_skl,sK4_skl))) ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,definition,
( sQ5_spl
<=> member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(difference(sK2_skl,sK3_skl),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ5_spl
| member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(difference(sK2_skl,sK3_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f80,plain,
( sQ5_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(difference(sK2_skl,sK3_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f67,f75,f78]) ).
fof(f97,plain,
( sQ4_spl
| member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(difference(sK2_skl,sK3_skl),sK4_skl))
| difference(sK2_skl,union(sK3_skl,sK4_skl)) = difference(difference(sK2_skl,sK3_skl),sK4_skl) ),
inference(resolution,[status(thm)],[f77,f40]) ).
fof(f98,plain,
( sQ4_spl
| member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),union(sK3_skl,sK4_skl))
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK2_skl) ),
inference(resolution,[status(thm)],[f77,f19]) ).
fof(f102,definition,
( sQ6_spl
<=> difference(sK2_skl,union(sK3_skl,sK4_skl)) = difference(difference(sK2_skl,sK3_skl),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ6_spl
| difference(sK2_skl,union(sK3_skl,sK4_skl)) = difference(difference(sK2_skl,sK3_skl),sK4_skl) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,plain,
( sQ4_spl
| sQ5_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f97,f102,f78,f75]) ).
fof(f106,definition,
( sQ7_spl
<=> member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( sQ7_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK2_skl) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ8_spl
<=> member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),union(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( sQ4_spl
| sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f98,f106,f109,f75]) ).
fof(f113,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f103,f43]) ).
fof(f114,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f140,plain,
( ~ sQ4_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),union(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f76,f18]) ).
fof(f141,plain,
( ~ sQ4_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK4_skl) ),
inference(resolution,[status(thm)],[f140,f14]) ).
fof(f142,plain,
( ~ sQ4_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK3_skl) ),
inference(resolution,[status(thm)],[f140,f13]) ).
fof(f153,plain,
( sQ5_spl
| member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK4_skl)
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(sK2_skl,sK3_skl)) ),
inference(resolution,[status(thm)],[f80,f19]) ).
fof(f158,definition,
( sQ13_spl
<=> member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(sK2_skl,sK3_skl)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ13_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(sK2_skl,sK3_skl)) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
( sQ14_spl
<=> member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ14_spl
| member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK4_skl) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( sQ5_spl
| sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f153,f158,f161,f78]) ).
fof(f185,plain,
( ~ sQ5_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK3_skl) ),
inference(resolution,[status(thm)],[f79,f54]) ).
fof(f186,plain,
( ~ sQ5_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK4_skl) ),
inference(resolution,[status(thm)],[f79,f18]) ).
fof(f220,plain,
! [X0] :
( sQ7_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(sK2_skl,X0)) ),
inference(resolution,[status(thm)],[f108,f17]) ).
fof(f221,plain,
! [X0] :
( ~ sQ5_spl
| member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),X0)
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),union(sK3_skl,X0)) ),
inference(resolution,[status(thm)],[f185,f12]) ).
fof(f230,plain,
( sQ7_spl
| member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(difference(sK2_skl,sK3_skl),sK4_skl))
| difference(sK2_skl,union(sK3_skl,sK4_skl)) = difference(difference(sK2_skl,sK3_skl),sK4_skl) ),
inference(resolution,[status(thm)],[f220,f40]) ).
fof(f234,plain,
! [X0,X1] :
( sQ7_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),difference(difference(sK2_skl,X0),X1)) ),
inference(resolution,[status(thm)],[f220,f17]) ).
fof(f235,plain,
( sQ7_spl
| sQ5_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f230,f102,f78,f106]) ).
fof(f240,plain,
( ~ sQ5_spl
| sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f79,f234]) ).
fof(f241,plain,
( ~ sQ5_spl
| sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f246,definition,
( sQ21_spl
<=> member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f288,definition,
( sQ22_spl
<=> subset(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(difference(sK2_skl,sK3_skl),sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( sQ22_spl
| ~ subset(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(difference(sK2_skl,sK3_skl),sK4_skl)) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f292,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f290,f44]) ).
fof(f293,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f292]) ).
fof(f648,plain,
( sQ13_spl
| member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK3_skl)
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),sK2_skl) ),
inference(resolution,[status(thm)],[f160,f19]) ).
fof(f654,plain,
( sQ13_spl
| sQ21_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f648,f106,f246,f158]) ).
fof(f715,definition,
( sQ23_spl
<=> subset(difference(sK2_skl,union(sK3_skl,sK4_skl)),difference(sK2_skl,union(sK3_skl,sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( sQ23_spl
| ~ subset(difference(sK2_skl,union(sK3_skl,sK4_skl)),difference(sK2_skl,union(sK3_skl,sK4_skl))) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f749,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f44]) ).
fof(f750,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f749]) ).
fof(f930,plain,
( ~ sQ4_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f142,f246,f75]) ).
fof(f931,plain,
( ~ sQ14_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f162,f141]) ).
fof(f932,plain,
( ~ sQ14_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f931]) ).
fof(f1390,definition,
( sQ48_spl
<=> subset(sK2_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
( sQ48_spl
| ~ subset(sK2_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1410,plain,
( sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1392,f44]) ).
fof(f1411,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1410]) ).
fof(f3048,definition,
! [X0] :
( sQ100_spl
<=> ~ subset(X0,difference(sK2_skl,union(sK3_skl,sK4_skl))) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f3049,plain,
! [X0] :
( ~ sQ100_spl
| ~ subset(X0,difference(sK2_skl,union(sK3_skl,sK4_skl))) ),
inference(component_clause,[status(thm)],[f3048]) ).
fof(f3309,plain,
( ~ sQ100_spl
| $false ),
inference(resolution,[status(thm)],[f3049,f44]) ).
fof(f3310,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f3309]) ).
fof(f7593,plain,
( ~ sQ5_spl
| ~ member(sK1_skl(difference(difference(sK2_skl,sK3_skl),sK4_skl),difference(sK2_skl,union(sK3_skl,sK4_skl))),union(sK3_skl,sK4_skl)) ),
inference(resolution,[status(thm)],[f221,f186]) ).
fof(f7673,plain,
( ~ sQ5_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f7593,f109,f78]) ).
fof(f7674,plain,
$false,
inference(sat_refutation,[status(thm)],[f81,f105,f112,f114,f164,f235,f241,f293,f654,f750,f930,f932,f1411,f3310,f7673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET614+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 05:29:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 241.85/31.02 % Refutation found
% 241.85/31.02 % SZS status Theorem for theBenchmark: Theorem is valid
% 241.85/31.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 70.31/32.26 % Elapsed time: 31.671962 seconds
% 70.31/32.26 % CPU time: 235.650831 seconds
% 70.31/32.26 % Total memory used: 856.360 MB
% 70.31/32.26 % Net memory used: 794.365 MB
%------------------------------------------------------------------------------