TSTP Solution File: SET666+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET666+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Sun May 5 09:15:42 EDT 2024
% Result : Theorem 0.12s 0.31s
% Output : Refutation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f684,plain,
$false,
inference(resolution,[],[f682,f99]) ).
fof(f99,plain,
~ ilf_type(identity_relation_of(sK2),identity_relation_of_type(sK2)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ~ ilf_type(identity_relation_of(sK2),identity_relation_of_type(sK2))
& ilf_type(sK2,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f28,f60]) ).
fof(f60,plain,
( ? [X0] :
( ~ ilf_type(identity_relation_of(X0),identity_relation_of_type(X0))
& ilf_type(X0,set_type) )
=> ( ~ ilf_type(identity_relation_of(sK2),identity_relation_of_type(sK2))
& ilf_type(sK2,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0] :
( ~ ilf_type(identity_relation_of(X0),identity_relation_of_type(X0))
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(identity_relation_of(X0),identity_relation_of_type(X0)) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(identity_relation_of(X0),identity_relation_of_type(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_29) ).
fof(f682,plain,
! [X0] : ilf_type(identity_relation_of(X0),identity_relation_of_type(X0)),
inference(resolution,[],[f677,f189]) ).
fof(f189,plain,
! [X0,X1] :
( ~ ilf_type(X1,relation_type(X0,X0))
| ilf_type(X1,identity_relation_of_type(X0)) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188]) ).
fof(f188,plain,
! [X0,X1] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) )
& ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f187,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186]) ).
fof(f186,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185]) ).
fof(f185,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129]) ).
fof(f129,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK8(X0,X1),X1)
& member(sK8(X0,X1),X0)
& ilf_type(sK8(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK8(X0,X1),X1)
& member(sK8(X0,X1),X0)
& ilf_type(sK8(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
fof(f184,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK8(X0,X1),set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183]) ).
fof(f183,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK8(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130]) ).
fof(f130,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ilf_type(sK8(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f182,plain,
! [X0,X1] :
( member(sK8(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181]) ).
fof(f181,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK8(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131]) ).
fof(f131,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK8(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f180,plain,
! [X0,X1] :
( ~ member(sK8(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179]) ).
fof(f179,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK8(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132]) ).
fof(f132,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK8(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f178,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177]) ).
fof(f177,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176]) ).
fof(f176,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125]) ).
fof(f125,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0)
& ilf_type(sK7(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f76,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0)
& ilf_type(sK7(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [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(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f175,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK7(X0,X1),set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174]) ).
fof(f174,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK7(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126]) ).
fof(f126,plain,
! [X0,X1] :
( subset(X0,X1)
| ilf_type(sK7(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f78]) ).
fof(f173,plain,
! [X0,X1] :
( member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172]) ).
fof(f172,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK7(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127]) ).
fof(f127,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK7(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f78]) ).
fof(f171,plain,
! [X0,X1] :
( ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170]) ).
fof(f170,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK7(X0,X1),X1)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128]) ).
fof(f128,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK7(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f78]) ).
fof(f169,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168]) ).
fof(f168,plain,
! [X3,X0,X1] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123]) ).
fof(f123,plain,
! [X3,X0,X1] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f167,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f39]) ).
fof(f165,plain,
! [X0,X1] : ilf_type(cross_product(X0,X1),set_type),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ilf_type(cross_product(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(cross_product(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f163,plain,
! [X0,X1] : ilf_type(ordered_pair(X0,X1),set_type),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(ordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f161,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118]) ).
fof(f118,plain,
! [X0] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f160,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151]) ).
fof(f151,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f74]) ).
fof(f159,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115]) ).
fof(f115,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK6(X0),X0)
& ilf_type(sK6(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f70,f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK6(X0),X0)
& ilf_type(sK6(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f158,plain,
! [X0] :
( empty(X0)
| ilf_type(sK6(X0),set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116]) ).
fof(f116,plain,
! [X0] :
( empty(X0)
| ilf_type(sK6(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f157,plain,
! [X0] :
( member(sK6(X0),X0)
| empty(X0) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117]) ).
fof(f117,plain,
! [X0] :
( empty(X0)
| member(sK6(X0),X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f156,plain,
! [X0] : sP1(X0),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114]) ).
fof(f114,plain,
! [X0] :
( sP1(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( sP1(X0)
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f34,f58,f57]) ).
fof(f57,plain,
! [X0] :
( sP0(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f58,plain,
! [X0] :
( ( relation_like(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f34,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( relation_like(X0)
<=> ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( relation_like(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f108,plain,
! [X0,X4] :
( ilf_type(sK4(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK3(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK3(X0),X0)
& ilf_type(sK3(X0),set_type) ) )
& ( ! [X4] :
( ( ordered_pair(sK4(X4),sK5(X4)) = X4
& ilf_type(sK5(X4),set_type)
& ilf_type(sK4(X4),set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f64,f67,f66,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) )
=> ( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK3(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(sK3(X0),X0)
& ilf_type(sK3(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
=> ( ? [X6] :
( ordered_pair(sK4(X4),X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(sK4(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X4] :
( ? [X6] :
( ordered_pair(sK4(X4),X6) = X4
& ilf_type(X6,set_type) )
=> ( ordered_pair(sK4(X4),sK5(X4)) = X4
& ilf_type(sK5(X4),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X4] :
( ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) )
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( sP0(X0)
| ? [X1] :
( ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
& member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ? [X2] :
( ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f109,plain,
! [X0,X4] :
( ilf_type(sK5(X4),set_type)
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f110,plain,
! [X0,X4] :
( ordered_pair(sK4(X4),sK5(X4)) = X4
| ~ member(X4,X0)
| ~ ilf_type(X4,set_type)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f111,plain,
! [X0] :
( sP0(X0)
| ilf_type(sK3(X0),set_type) ),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
! [X0] :
( member(sK3(X0),X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
! [X2,X3,X0] :
( sP0(X0)
| ordered_pair(X2,X3) != sK3(X0)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f68]) ).
fof(f106,plain,
! [X0] :
( sP0(X0)
| ~ relation_like(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( ( relation_like(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ relation_like(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f107,plain,
! [X0] :
( relation_like(X0)
| ~ sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f155,plain,
! [X0] : ~ empty(power_set(X0)),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104]) ).
fof(f104,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
fof(f154,plain,
! [X0] : ilf_type(power_set(X0),set_type),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105]) ).
fof(f105,plain,
! [X0] :
( ilf_type(power_set(X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f32]) ).
fof(f153,plain,
! [X0] : subset(identity_relation_of(X0),cross_product(X0,X0)),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103]) ).
fof(f103,plain,
! [X0] :
( subset(identity_relation_of(X0),cross_product(X0,X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( subset(identity_relation_of(X0),cross_product(X0,X0))
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(identity_relation_of(X0),cross_product(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f152,plain,
! [X0] : ilf_type(identity_relation_of(X0),binary_relation_type),
inference(global_subsumption,[],[f99,f98,f100,f102]) ).
fof(f102,plain,
! [X0] :
( ilf_type(identity_relation_of(X0),binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ilf_type(identity_relation_of(X0),binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(identity_relation_of(X0),binary_relation_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f100,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f98,plain,
ilf_type(sK2,set_type),
inference(cnf_transformation,[],[f61]) ).
fof(f677,plain,
! [X0] : ilf_type(identity_relation_of(X0),relation_type(X0,X0)),
inference(resolution,[],[f554,f153]) ).
fof(f554,plain,
! [X2,X0,X1] :
( ~ subset(X0,cross_product(X1,X2))
| ilf_type(X0,relation_type(X1,X2)) ),
inference(resolution,[],[f546,f169]) ).
fof(f546,plain,
! [X0,X1] :
( ilf_type(X0,subset_type(X1))
| ~ subset(X0,X1) ),
inference(resolution,[],[f545,f315]) ).
fof(f315,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f314,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192]) ).
fof(f192,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( 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(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f191,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190]) ).
fof(f190,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133]) ).
fof(f133,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f314,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f313,f218]) ).
fof(f218,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f159,f100]) ).
fof(f313,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f206,f100]) ).
fof(f206,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196,f197,f138,f198,f199,f200,f137,f201,f202,f203,f140,f141,f204,f205,f143]) ).
fof(f143,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
fof(f205,plain,
! [X0,X1] : ilf_type(sK9(X0,X1),relation_type(X1,X0)),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196,f197,f138,f198,f199,f200,f137,f201,f202,f203,f140,f141,f204]) ).
fof(f204,plain,
! [X0,X1] :
( ilf_type(sK9(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196,f197,f138,f198,f199,f200,f137,f201,f202,f203,f140,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ilf_type(sK9(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ilf_type(sK9(X0,X1),relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f48,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
=> ilf_type(sK9(X0,X1),relation_type(X1,X0)) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ? [X2] : ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ? [X2] : ilf_type(X2,relation_type(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f140,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| member(X1,X0) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196,f197,f138,f198,f199,f200,f137,f201,f202]) ).
fof(f202,plain,
! [X2,X0,X1] :
( member(X1,X0)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196,f197,f138,f198,f199,f200,f137,f201]) ).
fof(f201,plain,
! [X2,X0,X1] :
( member(X1,X0)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196,f197,f138,f198,f199,f200,f137]) ).
fof(f137,plain,
! [X2,X0,X1] :
( member(X1,X0)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 != X2
| ~ member(X1,X0) )
& ( ( X1 = X2
& member(X1,X0) )
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 != X2
| ~ member(X1,X0) )
& ( ( X1 = X2
& member(X1,X0) )
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(ordered_pair(X1,X2),identity_relation_of(X0))
<=> ( X1 = X2
& member(X1,X0) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(ordered_pair(X1,X2),identity_relation_of(X0))
<=> ( X1 = X2
& member(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 = X2 ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196,f197,f138,f198,f199]) ).
fof(f199,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196,f197,f138,f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196,f197,f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f86]) ).
fof(f197,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150,f196]) ).
fof(f196,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194,f195,f150]) ).
fof(f150,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f149,plain,
! [X2,X0] :
( member(ordered_pair(X2,X2),identity_relation_of(X0))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type) ),
inference(equality_resolution,[],[f139]) ).
fof(f139,plain,
! [X2,X0,X1] :
( member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 != X2
| ~ member(X1,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f86]) ).
fof(f195,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135,f194]) ).
fof(f194,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption,[],[f99,f98,f100,f102,f152,f103,f153,f105,f154,f104,f155,f107,f106,f113,f112,f111,f110,f109,f108,f114,f156,f117,f157,f116,f158,f115,f159,f151,f160,f118,f161,f121,f162,f163,f122,f164,f165,f124,f166,f167,f123,f168,f169,f128,f170,f171,f127,f172,f173,f126,f174,f175,f125,f176,f177,f178,f132,f179,f180,f131,f181,f182,f130,f183,f184,f129,f185,f186,f187,f134,f188,f189,f133,f190,f191,f136,f192,f193,f135]) ).
fof(f135,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,[],[f84]) ).
fof(f545,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ subset(X0,X1) ),
inference(duplicate_literal_removal,[],[f535]) ).
fof(f535,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ subset(X0,X1)
| member(X0,power_set(X1)) ),
inference(resolution,[],[f229,f180]) ).
fof(f229,plain,
! [X2,X0,X1] :
( member(sK8(X0,X1),X2)
| member(X0,power_set(X1))
| ~ subset(X0,X2) ),
inference(resolution,[],[f182,f178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SET666+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri May 3 16:46:23 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.28 % (25970)Running in auto input_syntax mode. Trying TPTP
% 0.08/0.29 % (25971)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.08/0.29 % (25975)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.08/0.29 % (25973)WARNING: value z3 for option sas not known
% 0.08/0.29 % (25973)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.08/0.29 % (25972)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.08/0.29 % (25974)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.08/0.29 % (25977)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.08/0.29 % (25976)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.08/0.30 TRYING [1]
% 0.08/0.30 TRYING [1]
% 0.08/0.30 TRYING [2]
% 0.08/0.30 TRYING [2]
% 0.08/0.30 TRYING [3]
% 0.08/0.31 % (25973)First to succeed.
% 0.12/0.31 TRYING [4]
% 0.12/0.31 % (25977)Also succeeded, but the first one will report.
% 0.12/0.31 % (25973)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25970"
% 0.12/0.31 % (25973)Refutation found. Thanks to Tanya!
% 0.12/0.31 % SZS status Theorem for theBenchmark
% 0.12/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.31 % (25973)------------------------------
% 0.12/0.31 % (25973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.31 % (25973)Termination reason: Refutation
% 0.12/0.31
% 0.12/0.31 % (25973)Memory used [KB]: 1114
% 0.12/0.31 % (25973)Time elapsed: 0.020 s
% 0.12/0.31 % (25973)Instructions burned: 43 (million)
% 0.12/0.31 % (25970)Success in time 0.026 s
%------------------------------------------------------------------------------