%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET647+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 : 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 02:10:20 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 13 unt; 0 def)
% Number of atoms : 306 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 381 ( 154 ~; 154 |; 30 &)
% ( 10 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 152 ( 147 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( ( subset(C,D)
& subset(B,C) )
=> subset(B,D) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B] :
( ilf_type(B,binary_relation_type)
=> subset(B,cross_product(domain_of(B),range_of(B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( subset(B,C)
=> ( subset(cross_product(D,B),cross_product(D,C))
& subset(cross_product(B,D),cross_product(C,D)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,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(f12,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(f15,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(f20,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(f22,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(f24,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(f26,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,binary_relation_type)
=> ( subset(domain_of(C),B)
=> ilf_type(C,relation_type(B,range_of(C))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,binary_relation_type)
=> ( subset(domain_of(C),B)
=> ilf_type(C,relation_type(B,range_of(C))) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
! [B] :
( ! [C] :
( ! [D] :
( subset(B,D)
| ~ subset(C,D)
| ~ subset(B,C)
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [B] :
( subset(B,cross_product(domain_of(B),range_of(B)))
| ~ ilf_type(B,binary_relation_type) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f32,plain,
! [X0] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [B] :
( ! [C] :
( ! [D] :
( ( subset(cross_product(D,B),cross_product(D,C))
& subset(cross_product(B,D),cross_product(C,D)) )
| ~ subset(B,C)
| ~ ilf_type(D,set_type) )
| ~ ilf_type(C,set_type) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f34,plain,
! [X0,X1,X2] :
( subset(cross_product(X0,X2),cross_product(X1,X2))
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f36,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)],[f4]) ).
fof(f37,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)],[f36]) ).
fof(f65,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)],[f12]) ).
fof(f66,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)],[f65]) ).
fof(f67,plain,
! [B] :
( ! [C] :
( ( ( ( ~ member(sK4_skl(C,B),C)
& member(sK4_skl(C,B),B)
& ilf_type(sK4_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,[sK4_skl]),skolemize(D,sK4_skl(C,B))],[f66]) ).
fof(f68,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)],[f67]) ).
fof(f76,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)],[f15]) ).
fof(f77,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)],[f76]) ).
fof(f79,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)],[f77]) ).
fof(f96,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)],[f20]) ).
fof(f97,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)],[f96]) ).
fof(f98,plain,
! [B] :
( ! [C] :
( ( ( ( ~ member(sK9_skl(C,B),C)
& member(sK9_skl(C,B),B)
& ilf_type(sK9_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,[sK9_skl]),skolemize(D,sK9_skl(C,B))],[f97]) ).
fof(f101,plain,
! [X0,X1] :
( member(sK9_skl(X1,X0),X0)
| member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f102,plain,
! [X0,X1] :
( ~ member(sK9_skl(X1,X0),X1)
| member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f106,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)],[f22]) ).
fof(f107,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)],[f106]) ).
fof(f109,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)],[f107]) ).
fof(f113,plain,
! [B] :
( ( empty(B)
<=> ! [C] :
( ~ member(C,B)
| ~ ilf_type(C,set_type) ) )
| ~ ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f114,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)],[f113]) ).
fof(f115,plain,
! [B] :
( ( ( ( member(sK11_skl(B),B)
& ilf_type(sK11_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,[sK11_skl]),skolemize(C,sK11_skl(B))],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f121,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f122,plain,
? [B] :
( ? [C] :
( ~ ilf_type(C,relation_type(B,range_of(C)))
& subset(domain_of(C),B)
& ilf_type(C,binary_relation_type) )
& ilf_type(B,set_type) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f123,plain,
( ~ ilf_type(sK13_skl,relation_type(sK12_skl,range_of(sK13_skl)))
& subset(domain_of(sK13_skl),sK12_skl)
& ilf_type(sK13_skl,binary_relation_type)
& ilf_type(sK12_skl,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(B,sK12_skl),skolemize(C,sK13_skl)],[f122]) ).
fof(f125,plain,
ilf_type(sK13_skl,binary_relation_type),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f126,plain,
subset(domain_of(sK13_skl),sK12_skl),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f127,plain,
~ ilf_type(sK13_skl,relation_type(sK12_skl,range_of(sK13_skl))),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f130,plain,
! [X0,X1,X2] :
( subset(X2,X1)
| ~ subset(X0,X1)
| ~ subset(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f121]) ).
fof(f131,plain,
! [X0,X1,X2] :
( subset(X1,X0)
| ~ subset(X2,X0)
| ~ subset(X1,X2)
| ~ ilf_type(X0,set_type) ),
inference(resolution,[status(thm)],[f130,f121]) ).
fof(f132,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f121]) ).
fof(f136,plain,
subset(sK13_skl,cross_product(domain_of(sK13_skl),range_of(sK13_skl))),
inference(resolution,[status(thm)],[f32,f125]) ).
fof(f137,plain,
! [X0] :
( subset(sK13_skl,X0)
| ~ subset(cross_product(domain_of(sK13_skl),range_of(sK13_skl)),X0) ),
inference(resolution,[status(thm)],[f136,f132]) ).
fof(f139,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)],[f37,f121]) ).
fof(f141,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)],[f68,f121]) ).
fof(f142,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1) ),
inference(resolution,[status(thm)],[f141,f121]) ).
fof(f143,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f121]) ).
fof(f169,plain,
! [X0,X1,X2] :
( subset(cross_product(X2,X1),cross_product(X0,X1))
| ~ subset(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f34,f121]) ).
fof(f170,plain,
! [X0,X1,X2] :
( subset(cross_product(X1,X0),cross_product(X2,X0))
| ~ subset(X1,X2)
| ~ ilf_type(X0,set_type) ),
inference(resolution,[status(thm)],[f169,f121]) ).
fof(f171,plain,
! [X0,X1,X2] :
( subset(cross_product(X0,X2),cross_product(X1,X2))
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f170,f121]) ).
fof(f184,plain,
! [X0] : subset(cross_product(domain_of(sK13_skl),X0),cross_product(sK12_skl,X0)),
inference(resolution,[status(thm)],[f171,f126]) ).
fof(f186,plain,
subset(sK13_skl,cross_product(sK12_skl,range_of(sK13_skl))),
inference(resolution,[status(thm)],[f184,f137]) ).
fof(f194,plain,
! [X0] :
( member(X0,cross_product(sK12_skl,range_of(sK13_skl)))
| ~ member(X0,sK13_skl) ),
inference(resolution,[status(thm)],[f186,f143]) ).
fof(f238,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f121]) ).
fof(f239,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ empty(X0) ),
inference(resolution,[status(thm)],[f238,f121]) ).
fof(f420,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)],[f79,f121]) ).
fof(f509,plain,
! [X0,X1] :
( member(sK9_skl(X0,X1),X1)
| member(X1,power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f121]) ).
fof(f510,plain,
! [X0,X1] :
( member(sK9_skl(X1,X0),X0)
| member(X0,power_set(X1)) ),
inference(resolution,[status(thm)],[f509,f121]) ).
fof(f521,plain,
! [X0] :
( member(sK9_skl(X0,sK13_skl),cross_product(sK12_skl,range_of(sK13_skl)))
| member(sK13_skl,power_set(X0)) ),
inference(resolution,[status(thm)],[f510,f194]) ).
fof(f528,plain,
! [X0,X1] :
( ~ member(sK9_skl(X0,X1),X0)
| member(X1,power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f121]) ).
fof(f529,plain,
( member(sK13_skl,power_set(cross_product(sK12_skl,range_of(sK13_skl))))
| member(sK13_skl,power_set(cross_product(sK12_skl,range_of(sK13_skl))))
| ~ ilf_type(cross_product(sK12_skl,range_of(sK13_skl)),set_type) ),
inference(resolution,[status(thm)],[f528,f521]) ).
fof(f532,plain,
( member(sK13_skl,power_set(cross_product(sK12_skl,range_of(sK13_skl))))
| ~ ilf_type(cross_product(sK12_skl,range_of(sK13_skl)),set_type) ),
inference(duplicate_literals_removal,[status(thm)],[f529]) ).
fof(f533,plain,
member(sK13_skl,power_set(cross_product(sK12_skl,range_of(sK13_skl)))),
inference(forward_subsumption_resolution,[status(thm)],[f532,f121]) ).
fof(f709,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)],[f109,f121]) ).
fof(f710,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ilf_type(X1,member_type(X0))
| empty(X0) ),
inference(resolution,[status(thm)],[f709,f121]) ).
fof(f711,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f239]) ).
fof(f720,plain,
ilf_type(sK13_skl,member_type(power_set(cross_product(sK12_skl,range_of(sK13_skl))))),
inference(resolution,[status(thm)],[f711,f533]) ).
fof(f782,plain,
( ilf_type(sK13_skl,subset_type(cross_product(sK12_skl,range_of(sK13_skl))))
| ~ ilf_type(sK13_skl,set_type) ),
inference(resolution,[status(thm)],[f720,f420]) ).
fof(f784,plain,
ilf_type(sK13_skl,subset_type(cross_product(sK12_skl,range_of(sK13_skl)))),
inference(forward_subsumption_resolution,[status(thm)],[f782,f121]) ).
fof(f786,plain,
( ilf_type(sK13_skl,relation_type(sK12_skl,range_of(sK13_skl)))
| ~ ilf_type(range_of(sK13_skl),set_type) ),
inference(resolution,[status(thm)],[f784,f139]) ).
fof(f788,plain,
ilf_type(sK13_skl,relation_type(sK12_skl,range_of(sK13_skl))),
inference(forward_subsumption_resolution,[status(thm)],[f786,f121]) ).
fof(f812,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f788,f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET647+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 05:30:22 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.078982 seconds
% 0.14/0.44 % CPU time: 0.383701 seconds
% 0.14/0.44 % Total memory used: 89.644 MB
% 0.14/0.44 % Net memory used: 89.116 MB
%------------------------------------------------------------------------------