%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET646+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 : n026.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 0.09s 0.47s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 70 ( 14 unt; 0 def)
% Number of atoms : 315 ( 30 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 410 ( 165 ~; 159 |; 43 &)
% ( 12 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 152 ( 145 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ( member(ordered_pair(B,C),cross_product(D,E))
<=> ( member(C,E)
& member(B,D) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( D = singleton(C)
<=> ! [E] :
( ilf_type(E,set_type)
=> ( member(E,D)
<=> E = C ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,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/sandbox/benchmark/theBenchmark.p') ).
fof(f17,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/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(power_set(B),set_type)
& ~ empty(power_set(B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,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/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ( ( member(E,C)
& member(D,B) )
=> ilf_type(singleton(ordered_pair(D,E)),relation_type(B,C)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ( ( member(E,C)
& member(D,B) )
=> ilf_type(singleton(ordered_pair(D,E)),relation_type(B,C)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f32,plain,
! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( member(ordered_pair(B,C),cross_product(D,E))
<=> ( member(C,E)
& member(B,D) ) )
| ~ ilf_type(E,set_type) )
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f33,plain,
! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( ( ( ~ member(C,E)
| ~ member(B,D)
| member(ordered_pair(B,C),cross_product(D,E)) )
& ( ( member(C,E)
& member(B,D) )
| ~ member(ordered_pair(B,C),cross_product(D,E)) ) )
| ~ ilf_type(E,set_type) )
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f32]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ~ member(X1,X3)
| ~ member(X0,X2)
| member(ordered_pair(X0,X1),cross_product(X2,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f37,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)],[f3]) ).
fof(f38,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)],[f37]) ).
fof(f43,plain,
! [B] :
( ! [C] :
( ! [D] :
( ( D = singleton(C)
<=> ! [E] :
( ( member(E,D)
<=> E = C )
| ~ ilf_type(E,set_type) ) )
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f44,plain,
! [B] :
( ! [C] :
( ! [D] :
( ( ( ? [E] :
( ( E = C
| member(E,D) )
& ( E != C
| ~ member(E,D) )
& ilf_type(E,set_type) )
| D = singleton(C) )
& ( ! [E] :
( ( ( E != C
| member(E,D) )
& ( E = C
| ~ member(E,D) ) )
| ~ ilf_type(E,set_type) )
| D != singleton(C) ) )
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(NNF_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
( ! [C] :
( ! [D] :
( ( ( ? [E] :
( ( E = C
| member(E,D) )
& ( E != C
| ~ member(E,D) )
& ilf_type(E,set_type) )
| D = singleton(C) )
& ( ! [E] :
( ( ( E != C
| member(E,D) )
& ( E = C
| ~ member(E,D) ) )
| ~ ilf_type(E,set_type) )
| D != singleton(C) ) )
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ! [B] : ~ ilf_type(B,set_type) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f46,plain,
( ! [C] :
( ! [D] :
( ( ( ( ( sK1_skl(D,C) = C
| member(sK1_skl(D,C),D) )
& ( sK1_skl(D,C) != C
| ~ member(sK1_skl(D,C),D) )
& ilf_type(sK1_skl(D,C),set_type) )
| D = singleton(C) )
& ( ! [E] :
( ( ( E != C
| member(E,D) )
& ( E = C
| ~ member(E,D) ) )
| ~ ilf_type(E,set_type) )
| D != singleton(C) ) )
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ! [B] : ~ ilf_type(B,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(E,sK1_skl(D,C))],[f45]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( X3 = X1
| ~ member(X3,X2)
| ~ ilf_type(X3,set_type)
| X2 != singleton(X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f67,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)],[f12]) ).
fof(f68,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)],[f67]) ).
fof(f70,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)],[f68]) ).
fof(f91,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)],[f17]) ).
fof(f92,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)],[f91]) ).
fof(f93,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))],[f92]) ).
fof(f96,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)],[f93]) ).
fof(f97,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)],[f93]) ).
fof(f98,plain,
! [B] :
( ( ilf_type(power_set(B),set_type)
& ~ empty(power_set(B)) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f99,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f101,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)],[f19]) ).
fof(f102,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)],[f101]) ).
fof(f104,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)],[f102]) ).
fof(f127,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f128,plain,
? [B] :
( ? [C] :
( ? [D] :
( ? [E] :
( ~ ilf_type(singleton(ordered_pair(D,E)),relation_type(B,C))
& member(E,C)
& member(D,B)
& ilf_type(E,set_type) )
& ilf_type(D,set_type) )
& ilf_type(C,set_type) )
& ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f129,plain,
( ~ ilf_type(singleton(ordered_pair(sK13_skl,sK14_skl)),relation_type(sK11_skl,sK12_skl))
& member(sK14_skl,sK12_skl)
& member(sK13_skl,sK11_skl)
& ilf_type(sK14_skl,set_type)
& 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,sK14_skl]),skolemize(B,sK11_skl),skolemize(C,sK12_skl),skolemize(D,sK13_skl),skolemize(E,sK14_skl)],[f128]) ).
fof(f134,plain,
member(sK13_skl,sK11_skl),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f135,plain,
member(sK14_skl,sK12_skl),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f136,plain,
~ ilf_type(singleton(ordered_pair(sK13_skl,sK14_skl)),relation_type(sK11_skl,sK12_skl)),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f137,plain,
! [X0,X1,X2] :
( X2 = X1
| ~ member(X2,singleton(X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(singleton(X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(destructive_equality_resolution,[status(thm)],[f47]) ).
fof(f143,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)],[f38,f127]) ).
fof(f145,plain,
! [X0,X1] :
( X1 = X0
| ~ member(X1,singleton(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(singleton(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f127]) ).
fof(f146,plain,
! [X0,X1] :
( X1 = X0
| ~ member(X1,singleton(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(resolution,[status(thm)],[f145,f127]) ).
fof(f147,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f127]) ).
fof(f148,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f147,f127]) ).
fof(f155,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f99,f127]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X2)
| ~ member(X3,X1)
| member(ordered_pair(X3,X0),cross_product(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f127]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X2,X0),cross_product(X3,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(resolution,[status(thm)],[f179,f127]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( ~ member(X2,X0)
| ~ member(X1,X3)
| member(ordered_pair(X1,X2),cross_product(X3,X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f181,f127]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ~ member(X1,X3)
| ~ member(X0,X2)
| member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f127]) ).
fof(f237,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)],[f96,f127]) ).
fof(f238,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)],[f97,f127]) ).
fof(f399,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)],[f104,f127]) ).
fof(f400,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ilf_type(X1,member_type(X0))
| empty(X0) ),
inference(resolution,[status(thm)],[f399,f127]) ).
fof(f408,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)],[f70,f127]) ).
fof(f409,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(power_set(X1)))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[status(thm)],[f408,f127]) ).
fof(f410,plain,
! [X0,X1,X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,member_type(power_set(cross_product(X1,X2)))) ),
inference(resolution,[status(thm)],[f409,f143]) ).
fof(f412,plain,
! [X0,X1,X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X0,member_type(power_set(cross_product(X1,X2)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f410,f127]) ).
fof(f416,plain,
~ ilf_type(singleton(ordered_pair(sK13_skl,sK14_skl)),member_type(power_set(cross_product(sK11_skl,sK12_skl)))),
inference(resolution,[status(thm)],[f412,f136]) ).
fof(f431,plain,
( ~ member(singleton(ordered_pair(sK13_skl,sK14_skl)),power_set(cross_product(sK11_skl,sK12_skl)))
| empty(power_set(cross_product(sK11_skl,sK12_skl))) ),
inference(resolution,[status(thm)],[f416,f400]) ).
fof(f434,plain,
~ member(singleton(ordered_pair(sK13_skl,sK14_skl)),power_set(cross_product(sK11_skl,sK12_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f431,f155]) ).
fof(f439,plain,
( ~ member(sK5_skl(cross_product(sK11_skl,sK12_skl),singleton(ordered_pair(sK13_skl,sK14_skl))),cross_product(sK11_skl,sK12_skl))
| ~ ilf_type(cross_product(sK11_skl,sK12_skl),set_type) ),
inference(resolution,[status(thm)],[f434,f238]) ).
fof(f440,plain,
( member(sK5_skl(cross_product(sK11_skl,sK12_skl),singleton(ordered_pair(sK13_skl,sK14_skl))),singleton(ordered_pair(sK13_skl,sK14_skl)))
| ~ ilf_type(cross_product(sK11_skl,sK12_skl),set_type) ),
inference(resolution,[status(thm)],[f434,f237]) ).
fof(f446,plain,
~ member(sK5_skl(cross_product(sK11_skl,sK12_skl),singleton(ordered_pair(sK13_skl,sK14_skl))),cross_product(sK11_skl,sK12_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f439,f127]) ).
fof(f447,plain,
member(sK5_skl(cross_product(sK11_skl,sK12_skl),singleton(ordered_pair(sK13_skl,sK14_skl))),singleton(ordered_pair(sK13_skl,sK14_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f440,f127]) ).
fof(f455,plain,
sK5_skl(cross_product(sK11_skl,sK12_skl),singleton(ordered_pair(sK13_skl,sK14_skl))) = ordered_pair(sK13_skl,sK14_skl),
inference(resolution,[status(thm)],[f447,f148]) ).
fof(f484,plain,
~ member(ordered_pair(sK13_skl,sK14_skl),cross_product(sK11_skl,sK12_skl)),
inference(backward_demodulation,[status(thm)],[f455,f446]) ).
fof(f487,plain,
( ~ member(sK14_skl,sK12_skl)
| ~ member(sK13_skl,sK11_skl) ),
inference(resolution,[status(thm)],[f484,f188]) ).
fof(f491,plain,
~ member(sK14_skl,sK12_skl),
inference(forward_subsumption_resolution,[status(thm)],[f487,f134]) ).
fof(f492,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f491,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET646+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 : n026.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
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:33:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.47 % Refutation found
% 0.09/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.49 % Elapsed time: 0.120409 seconds
% 0.09/0.49 % CPU time: 0.718589 seconds
% 0.09/0.49 % Total memory used: 95.422 MB
% 0.09/0.49 % Net memory used: 93.843 MB
%------------------------------------------------------------------------------