TSTP Solution File: SET669+3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:34:59 EDT 2023
% Result : Theorem 0.21s 0.55s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 115 ( 16 unt; 0 def)
% Number of atoms : 388 ( 22 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 462 ( 189 ~; 193 |; 30 &)
% ( 15 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 188 (; 182 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ( subset(B,C)
& subset(C,B) )
=> B = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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,relation_type(B,C))
=> ( subset(identity_relation_of(D),E)
=> ( subset(D,domain(B,C,E))
& subset(D,range(B,C,E)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,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,binary_relation_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,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(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(f21,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ~ empty(power_set(B))
& ilf_type(power_set(B),set_type) ) ),
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(f30,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> range(B,C,D) = range_of(D) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ilf_type(range(B,C,D),subset_type(C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( subset(identity_relation_of(C),D)
=> ( subset(C,domain(B,C,D))
& C = range(B,C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( subset(identity_relation_of(C),D)
=> ( subset(C,domain(B,C,D))
& C = range(B,C,D) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ~ subset(B,C)
| ~ subset(C,B)
| B = C ) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f37,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,set_type)
| ! [E] :
( ~ ilf_type(E,relation_type(B,C))
| ~ subset(identity_relation_of(D),E)
| ( subset(D,domain(B,C,E))
& subset(D,range(B,C,E)) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ subset(identity_relation_of(X2),X3)
| subset(X2,domain(X0,X1,X3)) ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ subset(identity_relation_of(X2),X3)
| subset(X2,range(X0,X1,X3)) ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f53,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)],[f7]) ).
fof(f54,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)],[f53]) ).
fof(f55,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_1(C,B),set_type)
& member(sk0_1(C,B),B)
& ~ member(sk0_1(C,B),C) ) ) ) ) ),
inference(skolemization,[status(esa)],[f54]) ).
fof(f58,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| subset(X0,X1)
| member(sk0_1(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f59,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| subset(X0,X1)
| ~ member(sk0_1(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f86,plain,
ilf_type(sk0_4,binary_relation_type),
inference(skolemization,[status(esa)],[f15]) ).
fof(f87,plain,
ilf_type(sk0_4,binary_relation_type),
inference(cnf_transformation,[status(esa)],[f86]) ).
fof(f88,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)],[f16]) ).
fof(f89,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)],[f88]) ).
fof(f90,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)],[f89]) ).
fof(f99,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(f100,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)],[f99]) ).
fof(f101,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_6(C,B),set_type)
& member(sk0_6(C,B),B)
& ~ member(sk0_6(C,B),C) ) ) ) ) ),
inference(skolemization,[status(esa)],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f106,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ( ~ empty(power_set(B))
& ilf_type(power_set(B),set_type) ) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f107,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f109,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(f110,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)],[f109]) ).
fof(f111,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)],[f110]) ).
fof(f139,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,relation_type(B,C))
| range(B,C,D) = range_of(D) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f30]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f141,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,relation_type(B,C))
| ilf_type(range(B,C,D),subset_type(C)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(range(X0,X1,X2),subset_type(X1)) ),
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f143,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f144,plain,
? [B] :
( ilf_type(B,set_type)
& ? [C] :
( ilf_type(C,set_type)
& ? [D] :
( ilf_type(D,relation_type(B,C))
& subset(identity_relation_of(C),D)
& ( ~ subset(C,domain(B,C,D))
| C != range(B,C,D) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f34]) ).
fof(f145,plain,
( ilf_type(sk0_12,set_type)
& ilf_type(sk0_13,set_type)
& ilf_type(sk0_14,relation_type(sk0_12,sk0_13))
& subset(identity_relation_of(sk0_13),sk0_14)
& ( ~ subset(sk0_13,domain(sk0_12,sk0_13,sk0_14))
| sk0_13 != range(sk0_12,sk0_13,sk0_14) ) ),
inference(skolemization,[status(esa)],[f144]) ).
fof(f148,plain,
ilf_type(sk0_14,relation_type(sk0_12,sk0_13)),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f149,plain,
subset(identity_relation_of(sk0_13),sk0_14),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f150,plain,
( ~ subset(sk0_13,domain(sk0_12,sk0_13,sk0_14))
| sk0_13 != range(sk0_12,sk0_13,sk0_14) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f151,plain,
( spl0_0
<=> subset(sk0_13,domain(sk0_12,sk0_13,sk0_14)) ),
introduced(split_symbol_definition) ).
fof(f153,plain,
( ~ subset(sk0_13,domain(sk0_12,sk0_13,sk0_14))
| spl0_0 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( spl0_1
<=> sk0_13 = range(sk0_12,sk0_13,sk0_14) ),
introduced(split_symbol_definition) ).
fof(f156,plain,
( sk0_13 != range(sk0_12,sk0_13,sk0_14)
| spl0_1 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f150,f151,f154]) ).
fof(f165,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| X1 = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f143]) ).
fof(f166,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(resolution,[status(thm)],[f165,f143]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X3,X0))
| ~ subset(identity_relation_of(X1),X2)
| subset(X1,domain(X3,X0,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f143]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| ~ subset(identity_relation_of(X3),X1)
| subset(X3,domain(X2,X0,X1)) ),
inference(resolution,[status(thm)],[f184,f143]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X0)
| subset(X3,domain(X1,X2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f143]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X3,X0))
| ~ subset(identity_relation_of(X1),X2)
| subset(X1,range(X3,X0,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f143]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| ~ subset(identity_relation_of(X3),X1)
| subset(X3,range(X2,X0,X1)) ),
inference(resolution,[status(thm)],[f187,f143]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ subset(identity_relation_of(X3),X0)
| subset(X3,range(X1,X2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f143]) ).
fof(f190,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f107,f143]) ).
fof(f214,plain,
! [X0,X1] :
( ~ ilf_type(sk0_14,relation_type(X0,X1))
| subset(sk0_13,domain(X0,X1,sk0_14)) ),
inference(resolution,[status(thm)],[f186,f149]) ).
fof(f216,plain,
subset(sk0_13,domain(sk0_12,sk0_13,sk0_14)),
inference(resolution,[status(thm)],[f214,f148]) ).
fof(f217,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f153]) ).
fof(f218,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f217]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| ilf_type(range(X2,X0,X1),subset_type(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f143]) ).
fof(f230,plain,
! [X0,X1] :
( ~ ilf_type(sk0_14,relation_type(X0,X1))
| subset(sk0_13,range(X0,X1,sk0_14)) ),
inference(resolution,[status(thm)],[f189,f149]) ).
fof(f236,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| subset(X1,X0)
| member(sk0_1(X0,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f143]) ).
fof(f237,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| subset(X1,X0)
| ~ member(sk0_1(X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f59,f143]) ).
fof(f238,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sk0_1(X1,X0),X1) ),
inference(resolution,[status(thm)],[f237,f143]) ).
fof(f663,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)],[f111,f143]) ).
fof(f664,plain,
! [X0,X1] :
( empty(X0)
| ~ ilf_type(X1,member_type(X0))
| member(X1,X0) ),
inference(resolution,[status(thm)],[f663,f143]) ).
fof(f669,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)],[f90,f143]) ).
fof(f670,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| ilf_type(X0,member_type(power_set(X1))) ),
inference(resolution,[status(thm)],[f669,f143]) ).
fof(f671,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| empty(power_set(X1))
| member(X0,power_set(X1)) ),
inference(resolution,[status(thm)],[f670,f664]) ).
fof(f672,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f671,f190]) ).
fof(f673,plain,
! [X0,X1,X2] :
( member(range(X0,X1,X2),power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(resolution,[status(thm)],[f672,f227]) ).
fof(f674,plain,
! [X0,X1,X2] :
( member(range(X0,X1,X2),power_set(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f143]) ).
fof(f688,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ member(X1,power_set(X0))
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1)
| member(X2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f143]) ).
fof(f689,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ member(X1,power_set(X0))
| ~ member(X2,X1)
| member(X2,X0) ),
inference(resolution,[status(thm)],[f688,f143]) ).
fof(f690,plain,
! [X0,X1,X2] :
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f689,f143]) ).
fof(f1018,plain,
! [X0,X1,X2] :
( ~ member(X0,power_set(X1))
| ~ member(sk0_1(X1,X2),X0)
| subset(X2,X1) ),
inference(resolution,[status(thm)],[f690,f238]) ).
fof(f1056,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| subset(X0,X1)
| ~ ilf_type(X1,set_type)
| subset(X0,X1) ),
inference(resolution,[status(thm)],[f1018,f236]) ).
fof(f1057,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(duplicate_literals_removal,[status(esa)],[f1056]) ).
fof(f1058,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1057,f143]) ).
fof(f1869,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,relation_type(X2,X0))
| range(X2,X0,X1) = range_of(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f140,f143]) ).
fof(f1870,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
| range(X1,X2,X0) = range_of(X0) ),
inference(resolution,[status(thm)],[f1869,f143]) ).
fof(f2324,plain,
( spl0_146
<=> ilf_type(sk0_14,relation_type(sk0_12,sk0_13)) ),
introduced(split_symbol_definition) ).
fof(f2326,plain,
( ~ ilf_type(sk0_14,relation_type(sk0_12,sk0_13))
| spl0_146 ),
inference(component_clause,[status(thm)],[f2324]) ).
fof(f2334,plain,
( $false
| spl0_146 ),
inference(forward_subsumption_resolution,[status(thm)],[f2326,f148]) ).
fof(f2335,plain,
spl0_146,
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2589,plain,
range(sk0_12,sk0_13,sk0_14) = range_of(sk0_14),
inference(resolution,[status(thm)],[f1870,f148]) ).
fof(f2974,plain,
( spl0_163
<=> ilf_type(sk0_4,binary_relation_type) ),
introduced(split_symbol_definition) ).
fof(f2976,plain,
( ~ ilf_type(sk0_4,binary_relation_type)
| spl0_163 ),
inference(component_clause,[status(thm)],[f2974]) ).
fof(f2981,plain,
( $false
| spl0_163 ),
inference(forward_subsumption_resolution,[status(thm)],[f2976,f87]) ).
fof(f2982,plain,
spl0_163,
inference(contradiction_clause,[status(thm)],[f2981]) ).
fof(f3568,plain,
( sk0_13 != range_of(sk0_14)
| spl0_1 ),
inference(backward_demodulation,[status(thm)],[f2589,f156]) ).
fof(f3574,plain,
( spl0_190
<=> member(range_of(sk0_14),power_set(sk0_13)) ),
introduced(split_symbol_definition) ).
fof(f3575,plain,
( member(range_of(sk0_14),power_set(sk0_13))
| ~ spl0_190 ),
inference(component_clause,[status(thm)],[f3574]) ).
fof(f3577,plain,
( member(range_of(sk0_14),power_set(sk0_13))
| ~ ilf_type(sk0_14,relation_type(sk0_12,sk0_13)) ),
inference(paramodulation,[status(thm)],[f2589,f674]) ).
fof(f3578,plain,
( spl0_190
| ~ spl0_146 ),
inference(split_clause,[status(thm)],[f3577,f3574,f2324]) ).
fof(f3604,plain,
subset(sk0_13,range(sk0_12,sk0_13,sk0_14)),
inference(resolution,[status(thm)],[f230,f148]) ).
fof(f3605,plain,
subset(sk0_13,range_of(sk0_14)),
inference(forward_demodulation,[status(thm)],[f2589,f3604]) ).
fof(f3609,plain,
( spl0_192
<=> subset(range_of(sk0_14),sk0_13) ),
introduced(split_symbol_definition) ).
fof(f3611,plain,
( ~ subset(range_of(sk0_14),sk0_13)
| spl0_192 ),
inference(component_clause,[status(thm)],[f3609]) ).
fof(f3625,plain,
( spl0_193
<=> range_of(sk0_14) = sk0_13 ),
introduced(split_symbol_definition) ).
fof(f3626,plain,
( range_of(sk0_14) = sk0_13
| ~ spl0_193 ),
inference(component_clause,[status(thm)],[f3625]) ).
fof(f3628,plain,
( ~ subset(range_of(sk0_14),sk0_13)
| range_of(sk0_14) = sk0_13 ),
inference(resolution,[status(thm)],[f3605,f166]) ).
fof(f3629,plain,
( ~ spl0_192
| spl0_193 ),
inference(split_clause,[status(thm)],[f3628,f3609,f3625]) ).
fof(f3727,plain,
( $false
| spl0_1
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[status(thm)],[f3626,f3568]) ).
fof(f3728,plain,
( spl0_1
| ~ spl0_193 ),
inference(contradiction_clause,[status(thm)],[f3727]) ).
fof(f4636,plain,
( subset(range_of(sk0_14),sk0_13)
| ~ spl0_190 ),
inference(resolution,[status(thm)],[f3575,f1058]) ).
fof(f4637,plain,
( $false
| spl0_192
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[status(thm)],[f4636,f3611]) ).
fof(f4638,plain,
( spl0_192
| ~ spl0_190 ),
inference(contradiction_clause,[status(thm)],[f4637]) ).
fof(f4639,plain,
$false,
inference(sat_refutation,[status(thm)],[f157,f218,f2335,f2982,f3578,f3629,f3728,f4638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET669+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 : n003.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
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:19:53 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.21/0.55 % Refutation found
% 0.21/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.73/0.67 % Elapsed time: 0.323745 seconds
% 1.73/0.67 % CPU time: 1.747793 seconds
% 1.73/0.67 % Memory used: 65.928 MB
%------------------------------------------------------------------------------