TSTP Solution File: SET647+3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET647+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:34:55 EDT 2023
% Result : Theorem 23.16s 3.28s
% Output : CNFRefutation 23.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 85 ( 14 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 399 ( 163 ~; 162 |; 30 &)
% ( 10 <=>; 34 =>; 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 : 174 (; 169 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( ( subset(B,C)
& subset(C,D) )
=> subset(B,D) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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(B,D),cross_product(C,D))
& subset(cross_product(D,B),cross_product(D,C)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [B] :
( ilf_type(B,set_type)
=> subset(B,B) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ( ~ empty(C)
& ilf_type(C,set_type) )
=> ( ilf_type(B,member_type(C))
<=> member(B,C) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/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/sandbox/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] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,set_type)
| ~ subset(B,C)
| ~ subset(C,D)
| subset(B,D) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
! [B] :
( ~ ilf_type(B,binary_relation_type)
| subset(B,cross_product(domain_of(B),range_of(B))) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f32,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,set_type)
| ~ subset(B,C)
| ( subset(cross_product(B,D),cross_product(C,D))
& subset(cross_product(D,B),cross_product(D,C)) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f36,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ( ! [D] :
( ~ ilf_type(D,subset_type(cross_product(B,C)))
| ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ~ ilf_type(E,relation_type(B,C))
| ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f65,plain,
! [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) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f66,plain,
! [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) ) )
& ( subset(B,C)
| ? [D] :
( ilf_type(D,set_type)
& member(D,B)
& ~ member(D,C) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [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) ) )
& ( subset(B,C)
| ( ilf_type(sk0_4(C,B),set_type)
& member(sk0_4(C,B),B)
& ~ member(sk0_4(C,B),C) ) ) ) ) ),
inference(skolemization,[status(esa)],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f76,plain,
! [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))) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f77,plain,
! [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))) )
& ( ilf_type(C,subset_type(B))
| ~ ilf_type(C,member_type(power_set(B))) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f76]) ).
fof(f79,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) ),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f83,plain,
! [B] :
( ~ ilf_type(B,set_type)
| subset(B,B) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f84,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f96,plain,
! [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) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f97,plain,
! [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) ) )
& ( member(B,power_set(C))
| ? [D] :
( ilf_type(D,set_type)
& member(D,B)
& ~ member(D,C) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f96]) ).
fof(f98,plain,
! [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) ) )
& ( member(B,power_set(C))
| ( ilf_type(sk0_9(C,B),set_type)
& member(sk0_9(C,B),B)
& ~ member(sk0_9(C,B),C) ) ) ) ) ),
inference(skolemization,[status(esa)],[f97]) ).
fof(f101,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(X0,power_set(X1))
| member(sk0_9(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f102,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(X0,power_set(X1))
| ~ member(sk0_9(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f106,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( empty(C)
| ~ ilf_type(C,set_type)
| ( ilf_type(B,member_type(C))
<=> member(B,C) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f107,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( empty(C)
| ~ ilf_type(C,set_type)
| ( ( ~ ilf_type(B,member_type(C))
| member(B,C) )
& ( ilf_type(B,member_type(C))
| ~ member(B,C) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f106]) ).
fof(f109,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| empty(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f113,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( empty(B)
<=> ! [C] :
( ~ ilf_type(C,set_type)
| ~ member(C,B) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f114,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ( ~ empty(B)
| ! [C] :
( ~ ilf_type(C,set_type)
| ~ member(C,B) ) )
& ( empty(B)
| ? [C] :
( ilf_type(C,set_type)
& member(C,B) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f113]) ).
fof(f115,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ( ~ empty(B)
| ! [C] :
( ~ ilf_type(C,set_type)
| ~ member(C,B) ) )
& ( empty(B)
| ( ilf_type(sk0_11(B),set_type)
& member(sk0_11(B),B) ) ) ) ),
inference(skolemization,[status(esa)],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ empty(X0)
| ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f121,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f122,plain,
? [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(pre_NNF_transformation,[status(esa)],[f28]) ).
fof(f123,plain,
( ilf_type(sk0_12,set_type)
& ilf_type(sk0_13,binary_relation_type)
& subset(domain_of(sk0_13),sk0_12)
& ~ ilf_type(sk0_13,relation_type(sk0_12,range_of(sk0_13))) ),
inference(skolemization,[status(esa)],[f122]) ).
fof(f125,plain,
ilf_type(sk0_13,binary_relation_type),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f126,plain,
subset(domain_of(sk0_13),sk0_12),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f127,plain,
~ ilf_type(sk0_13,relation_type(sk0_12,range_of(sk0_13))),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X2,X0)
| ~ subset(X0,X1)
| subset(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f121]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X2)
| subset(X1,X2) ),
inference(resolution,[status(thm)],[f129,f121]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f121]) ).
fof(f132,plain,
! [X0] : subset(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f84,f121]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ~ subset(X0,X1)
| subset(X0,X2)
| ~ subset(X1,X3)
| ~ subset(X3,X2) ),
inference(resolution,[status(thm)],[f131,f131]) ).
fof(f138,plain,
subset(sk0_13,cross_product(domain_of(sk0_13),range_of(sk0_13))),
inference(resolution,[status(thm)],[f32,f125]) ).
fof(f140,plain,
! [X0,X1] :
( ~ subset(X0,sk0_13)
| subset(X0,X1)
| ~ subset(cross_product(domain_of(sk0_13),range_of(sk0_13)),X1) ),
inference(resolution,[status(thm)],[f134,f138]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
| ilf_type(X1,relation_type(X2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f37,f121]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ilf_type(X0,relation_type(X1,X2)) ),
inference(resolution,[status(thm)],[f150,f121]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X2,X0)
| subset(cross_product(X2,X1),cross_product(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f34,f121]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ subset(X1,X0)
| subset(cross_product(X1,X2),cross_product(X0,X2)) ),
inference(resolution,[status(thm)],[f170,f121]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f171,f121]) ).
fof(f260,plain,
! [X0] : subset(cross_product(domain_of(sk0_13),X0),cross_product(sk0_12,X0)),
inference(resolution,[status(thm)],[f172,f126]) ).
fof(f275,plain,
! [X0] :
( ~ subset(X0,sk0_13)
| subset(X0,cross_product(sk0_12,range_of(sk0_13))) ),
inference(resolution,[status(thm)],[f260,f140]) ).
fof(f291,plain,
subset(sk0_13,cross_product(sk0_12,range_of(sk0_13))),
inference(resolution,[status(thm)],[f275,f132]) ).
fof(f307,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f121]) ).
fof(f308,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ member(X1,X0) ),
inference(resolution,[status(thm)],[f307,f121]) ).
fof(f771,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ subset(X1,X0)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1)
| member(X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f121]) ).
fof(f772,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ subset(X1,X0)
| ~ member(X2,X1)
| member(X2,X0) ),
inference(resolution,[status(thm)],[f771,f121]) ).
fof(f773,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f772,f121]) ).
fof(f1354,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f121]) ).
fof(f1355,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(resolution,[status(thm)],[f1354,f121]) ).
fof(f3871,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| member(X1,power_set(X0))
| member(sk0_9(X0,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f121]) ).
fof(f3872,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sk0_9(X1,X0),X0) ),
inference(resolution,[status(thm)],[f3871,f121]) ).
fof(f3958,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| member(X1,power_set(X0))
| ~ member(sk0_9(X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f121]) ).
fof(f3959,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sk0_9(X1,X0),X1) ),
inference(resolution,[status(thm)],[f3958,f121]) ).
fof(f3962,plain,
! [X0,X1,X2] :
( member(X0,power_set(X1))
| ~ subset(X2,X1)
| ~ member(sk0_9(X1,X0),X2) ),
inference(resolution,[status(thm)],[f3959,f773]) ).
fof(f5087,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ subset(X0,X1)
| member(X0,power_set(X1)) ),
inference(resolution,[status(thm)],[f3962,f3872]) ).
fof(f5088,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ subset(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f5087]) ).
fof(f5679,plain,
! [X0,X1] :
( empty(X0)
| ~ ilf_type(X0,set_type)
| ilf_type(X1,member_type(X0))
| ~ member(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f121]) ).
fof(f5680,plain,
! [X0,X1] :
( empty(X0)
| ilf_type(X1,member_type(X0))
| ~ member(X1,X0) ),
inference(resolution,[status(thm)],[f5679,f121]) ).
fof(f5681,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f5680,f308]) ).
fof(f9563,plain,
member(sk0_13,power_set(cross_product(sk0_12,range_of(sk0_13)))),
inference(resolution,[status(thm)],[f291,f5088]) ).
fof(f10689,plain,
ilf_type(sk0_13,member_type(power_set(cross_product(sk0_12,range_of(sk0_13))))),
inference(resolution,[status(thm)],[f9563,f5681]) ).
fof(f16873,plain,
ilf_type(sk0_13,subset_type(cross_product(sk0_12,range_of(sk0_13)))),
inference(resolution,[status(thm)],[f10689,f1355]) ).
fof(f16885,plain,
ilf_type(sk0_13,relation_type(sk0_12,range_of(sk0_13))),
inference(resolution,[status(thm)],[f16873,f151]) ).
fof(f16886,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16885,f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET647+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 10:28:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 23.16/3.28 % Refutation found
% 23.16/3.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 23.16/3.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 23.40/3.33 % Elapsed time: 2.965609 seconds
% 23.40/3.33 % CPU time: 23.417042 seconds
% 23.40/3.33 % Memory used: 204.932 MB
%------------------------------------------------------------------------------