%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET641+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 02:10:20 PM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 76 ( 8 unt; 6 def)
% Number of atoms : 291 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 361 ( 146 ~; 144 |; 29 &)
% ( 16 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 115 ( 109 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) )
& ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( subset(B,C)
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ilf_type(C,subset_type(B))
<=> ilf_type(C,member_type(power_set(B))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( member(B,power_set(C))
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ( ilf_type(C,set_type)
& ~ empty(C) )
=> ( ilf_type(B,member_type(C))
<=> member(B,C) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( empty(B)
<=> ! [C] :
( ilf_type(C,set_type)
=> ~ member(C,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( subset(B,cross_product(C,D))
=> ilf_type(B,relation_type(C,D)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( subset(B,cross_product(C,D))
=> ilf_type(B,relation_type(C,D)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [B] :
( ! [C] :
( ( ! [E] :
( ilf_type(E,subset_type(cross_product(B,C)))
| ~ ilf_type(E,relation_type(B,C)) )
& ! [D] :
( ilf_type(D,relation_type(B,C))
| ~ ilf_type(D,subset_type(cross_product(B,C))) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f38,plain,
! [B] :
( ! [C] :
( ( subset(B,C)
<=> ! [D] :
( member(D,C)
| ~ member(D,B)
| ~ ilf_type(D,set_type) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f39,plain,
! [B] :
( ! [C] :
( ( ( ? [D] :
( ~ member(D,C)
& member(D,B)
& ilf_type(D,set_type) )
| subset(B,C) )
& ( ! [D] :
( member(D,C)
| ~ member(D,B)
| ~ ilf_type(D,set_type) )
| ~ subset(B,C) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [B] :
( ! [C] :
( ( ( ( ~ member(sK3_skl(C,B),C)
& member(sK3_skl(C,B),B)
& ilf_type(sK3_skl(C,B),set_type) )
| subset(B,C) )
& ( ! [D] :
( member(D,C)
| ~ member(D,B)
| ~ ilf_type(D,set_type) )
| ~ subset(B,C) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(D,sK3_skl(C,B))],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f47,plain,
! [B] :
( ! [C] :
( ( ilf_type(C,subset_type(B))
<=> ilf_type(C,member_type(power_set(B))) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f48,plain,
! [B] :
( ! [C] :
( ( ( ~ ilf_type(C,member_type(power_set(B)))
| ilf_type(C,subset_type(B)) )
& ( ilf_type(C,member_type(power_set(B)))
| ~ ilf_type(C,subset_type(B)) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f47]) ).
fof(f50,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f56,plain,
! [B] :
( ! [C] :
( ( member(B,power_set(C))
<=> ! [D] :
( member(D,C)
| ~ member(D,B)
| ~ ilf_type(D,set_type) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f57,plain,
! [B] :
( ! [C] :
( ( ( ? [D] :
( ~ member(D,C)
& member(D,B)
& ilf_type(D,set_type) )
| member(B,power_set(C)) )
& ( ! [D] :
( member(D,C)
| ~ member(D,B)
| ~ ilf_type(D,set_type) )
| ~ member(B,power_set(C)) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [B] :
( ! [C] :
( ( ( ( ~ member(sK5_skl(C,B),C)
& member(sK5_skl(C,B),B)
& ilf_type(sK5_skl(C,B),set_type) )
| member(B,power_set(C)) )
& ( ! [D] :
( member(D,C)
| ~ member(D,B)
| ~ ilf_type(D,set_type) )
| ~ member(B,power_set(C)) ) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(D,sK5_skl(C,B))],[f57]) ).
fof(f61,plain,
! [X0,X1] :
( member(sK5_skl(X1,X0),X0)
| member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f62,plain,
! [X0,X1] :
( ~ member(sK5_skl(X1,X0),X1)
| member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f66,plain,
! [B] :
( ! [C] :
( ( ilf_type(B,member_type(C))
<=> member(B,C) )
| ~ ilf_type(C,set_type)
| empty(C) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f67,plain,
! [B] :
( ! [C] :
( ( ( ~ member(B,C)
| ilf_type(B,member_type(C)) )
& ( member(B,C)
| ~ ilf_type(B,member_type(C)) ) )
| ~ ilf_type(C,set_type)
| empty(C) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f66]) ).
fof(f69,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f73,plain,
! [B] :
( ( empty(B)
<=> ! [C] :
( ~ member(C,B)
| ~ ilf_type(C,set_type) ) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f74,plain,
! [B] :
( ( ( ? [C] :
( member(C,B)
& ilf_type(C,set_type) )
| empty(B) )
& ( ! [C] :
( ~ member(C,B)
| ~ ilf_type(C,set_type) )
| ~ empty(B) ) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [B] :
( ( ( ( member(sK7_skl(B),B)
& ilf_type(sK7_skl(B),set_type) )
| empty(B) )
& ( ! [C] :
( ~ member(C,B)
| ~ ilf_type(C,set_type) )
| ~ empty(B) ) )
| ~ ilf_type(B,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(C,sK7_skl(B))],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f92,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f93,plain,
? [B] :
( ? [C] :
( ? [D] :
( ~ ilf_type(B,relation_type(C,D))
& subset(B,cross_product(C,D))
& ilf_type(D,set_type) )
& ilf_type(C,set_type) )
& ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f94,plain,
( ~ ilf_type(sK11_skl,relation_type(sK12_skl,sK13_skl))
& subset(sK11_skl,cross_product(sK12_skl,sK13_skl))
& ilf_type(sK13_skl,set_type)
& ilf_type(sK12_skl,set_type)
& ilf_type(sK11_skl,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(B,sK11_skl),skolemize(C,sK12_skl),skolemize(D,sK13_skl)],[f93]) ).
fof(f98,plain,
subset(sK11_skl,cross_product(sK12_skl,sK13_skl)),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f99,plain,
~ ilf_type(sK11_skl,relation_type(sK12_skl,sK13_skl)),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ilf_type(X1,relation_type(X2,X0))
| ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f22,f92]) ).
fof(f105,plain,
! [X0,X1,X2] :
( member(X2,X0)
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f41,f92]) ).
fof(f106,plain,
! [X0] :
( member(X0,cross_product(sK12_skl,sK13_skl))
| ~ member(X0,sK11_skl)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(cross_product(sK12_skl,sK13_skl),set_type) ),
inference(resolution,[status(thm)],[f105,f98]) ).
fof(f109,definition,
( sQ0_spl
<=> ilf_type(cross_product(sK12_skl,sK13_skl),set_type) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( sQ0_spl
| ~ ilf_type(cross_product(sK12_skl,sK13_skl),set_type) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,definition,
! [X0] :
( sQ1_spl
<=> ( member(X0,cross_product(sK12_skl,sK13_skl))
| ~ member(X0,sK11_skl)
| ~ ilf_type(X0,set_type) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f113,plain,
! [X0] :
( ~ sQ1_spl
| member(X0,cross_product(sK12_skl,sK13_skl))
| ~ member(X0,sK11_skl)
| ~ ilf_type(X0,set_type) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f106,f109,f112]) ).
fof(f117,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f92]) ).
fof(f118,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f117]) ).
fof(f119,plain,
! [X0] :
( ~ sQ1_spl
| member(X0,cross_product(sK12_skl,sK13_skl))
| ~ member(X0,sK11_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f113,f92]) ).
fof(f131,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f76,f92]) ).
fof(f203,plain,
! [X0,X1] :
( member(sK5_skl(X0,X1),X1)
| member(X1,power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f92]) ).
fof(f204,plain,
! [X0,X1] :
( ~ member(sK5_skl(X0,X1),X0)
| member(X1,power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f92]) ).
fof(f206,plain,
! [X0] :
( ~ sQ1_spl
| ~ member(sK5_skl(cross_product(sK12_skl,sK13_skl),X0),sK11_skl)
| member(X0,power_set(cross_product(sK12_skl,sK13_skl)))
| ~ ilf_type(cross_product(sK12_skl,sK13_skl),set_type) ),
inference(resolution,[status(thm)],[f204,f119]) ).
fof(f209,definition,
! [X0] :
( sQ10_spl
<=> ( ~ member(sK5_skl(cross_product(sK12_skl,sK13_skl),X0),sK11_skl)
| member(X0,power_set(cross_product(sK12_skl,sK13_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f210,plain,
! [X0] :
( ~ sQ10_spl
| ~ member(sK5_skl(cross_product(sK12_skl,sK13_skl),X0),sK11_skl)
| member(X0,power_set(cross_product(sK12_skl,sK13_skl))) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( ~ sQ1_spl
| sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f206,f109,f209,f112]) ).
fof(f213,plain,
( ~ sQ10_spl
| member(sK11_skl,power_set(cross_product(sK12_skl,sK13_skl)))
| ~ ilf_type(cross_product(sK12_skl,sK13_skl),set_type)
| member(sK11_skl,power_set(cross_product(sK12_skl,sK13_skl))) ),
inference(resolution,[status(thm)],[f210,f203]) ).
fof(f214,definition,
( sQ11_spl
<=> member(sK11_skl,power_set(cross_product(sK12_skl,sK13_skl))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ11_spl
| member(sK11_skl,power_set(cross_product(sK12_skl,sK13_skl))) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f213,f214,f109,f209]) ).
fof(f222,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type)
| empty(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f92]) ).
fof(f236,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(power_set(X1)))
| ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f50,f92]) ).
fof(f284,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f92]) ).
fof(f286,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ilf_type(X1,member_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f284]) ).
fof(f295,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f92]) ).
fof(f527,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,set_type)
| ~ member(X0,power_set(X1)) ),
inference(resolution,[status(thm)],[f295,f236]) ).
fof(f528,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| ~ member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f92]) ).
fof(f552,plain,
( ~ sQ11_spl
| ilf_type(sK11_skl,subset_type(cross_product(sK12_skl,sK13_skl))) ),
inference(resolution,[status(thm)],[f528,f215]) ).
fof(f587,plain,
( ~ sQ11_spl
| ilf_type(sK11_skl,relation_type(sK12_skl,sK13_skl))
| ~ ilf_type(sK13_skl,set_type) ),
inference(resolution,[status(thm)],[f552,f101]) ).
fof(f588,definition,
( sQ38_spl
<=> ilf_type(sK13_skl,set_type) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( sQ38_spl
| ~ ilf_type(sK13_skl,set_type) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f592,definition,
( sQ39_spl
<=> ilf_type(sK11_skl,relation_type(sK12_skl,sK13_skl)) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ39_spl
| ilf_type(sK11_skl,relation_type(sK12_skl,sK13_skl)) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( ~ sQ11_spl
| sQ39_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f587,f588,f592,f214]) ).
fof(f596,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f92]) ).
fof(f597,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f593,f99]) ).
fof(f599,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f600,plain,
$false,
inference(sat_refutation,[status(thm)],[f115,f118,f212,f217,f595,f597,f599]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET641+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n003.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 05:32:16 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.054523 seconds
% 0.15/0.43 % CPU time: 0.187928 seconds
% 0.15/0.43 % Total memory used: 83.556 MB
% 0.15/0.43 % Net memory used: 83.208 MB
%------------------------------------------------------------------------------