TSTP Solution File: SEU430+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU430+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Tue Apr 30 15:34:33 EDT 2024
% Result : Theorem 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 54
% Syntax : Number of formulae : 325 ( 52 unt; 0 def)
% Number of atoms : 829 ( 145 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 838 ( 334 ~; 380 |; 71 &)
% ( 28 <=>; 24 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 20 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 353 ( 308 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f704,plain,
$false,
inference(avatar_sat_refutation,[],[f137,f162,f181,f187,f194,f287,f297,f301,f309,f371,f381,f387,f417,f452,f460,f480,f610,f614,f615,f616,f686,f696,f703]) ).
fof(f703,plain,
( spl13_1
| ~ spl13_19 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| spl13_1
| ~ spl13_19 ),
inference(subsumption_resolution,[],[f700,f327]) ).
fof(f327,plain,
( k1_xboole_0 != k3_tarski(sK2)
| spl13_1 ),
inference(superposition,[],[f132,f232]) ).
fof(f232,plain,
k5_setfam_1(sK1,sK2) = k3_tarski(sK2),
inference(resolution,[],[f104,f85]) ).
fof(f85,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( ( k1_xboole_0 != sK3
& r2_hidden(sK3,sK2) )
| k1_xboole_0 != k5_setfam_1(sK1,sK2) )
& ( ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK2) )
| k1_xboole_0 = k5_setfam_1(sK1,sK2) )
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f60,f62,f61]) ).
fof(f61,plain,
( ? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) != k1_xboole_0 )
& ( ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) )
=> ( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,sK2) )
| k1_xboole_0 != k5_setfam_1(sK1,sK2) )
& ( ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK2) )
| k1_xboole_0 = k5_setfam_1(sK1,sK2) )
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,sK2) )
=> ( k1_xboole_0 != sK3
& r2_hidden(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) != k1_xboole_0 )
& ( ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) != k1_xboole_0 )
& ( ! [X2] :
( k1_xboole_0 = X2
| ~ r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) != k1_xboole_0 )
& ( ! [X2] :
( k1_xboole_0 = X2
| ~ r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
? [X0,X1] :
( ( k5_setfam_1(X0,X1) = k1_xboole_0
<~> ! [X2] :
( k1_xboole_0 = X2
| ~ r2_hidden(X2,X1) ) )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( k5_setfam_1(X0,X1) = k1_xboole_0
<=> ! [X2] :
( r2_hidden(X2,X1)
=> k1_xboole_0 = X2 ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( k5_setfam_1(X0,X1) = k1_xboole_0
<=> ! [X2] :
( r2_hidden(X2,X1)
=> k1_xboole_0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relset_2) ).
fof(f104,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k5_setfam_1(X0,X1) = k3_tarski(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k5_setfam_1(X0,X1) = k3_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f132,plain,
( k1_xboole_0 != k5_setfam_1(sK1,sK2)
| spl13_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl13_1
<=> k1_xboole_0 = k5_setfam_1(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f700,plain,
( k1_xboole_0 = k3_tarski(sK2)
| ~ spl13_19 ),
inference(resolution,[],[f685,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| k3_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( k3_tarski(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| k3_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( k3_tarski(X0) = X1
<=> sP0(X0,X1) ),
inference(definition_folding,[],[f6,f56]) ).
fof(f56,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X3,X0)
& r2_hidden(X2,X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,axiom,
! [X0,X1] :
( k3_tarski(X0) = X1
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X3,X0)
& r2_hidden(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f685,plain,
( sP0(sK2,k1_xboole_0)
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl13_19
<=> sP0(sK2,k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f696,plain,
( ~ spl13_18
| spl13_19 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f695,plain,
( $false
| ~ spl13_18
| spl13_19 ),
inference(subsumption_resolution,[],[f694,f684]) ).
fof(f684,plain,
( ~ sP0(sK2,k1_xboole_0)
| spl13_19 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f694,plain,
( sP0(sK2,k1_xboole_0)
| ~ spl13_18 ),
inference(subsumption_resolution,[],[f693,f121]) ).
fof(f121,plain,
! [X2] : ~ r2_hidden(X2,k1_xboole_0),
inference(equality_resolution,[],[f95]) ).
fof(f95,plain,
! [X2,X0] :
( ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( k1_xboole_0 = X0
| r2_hidden(sK5(X0),X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f67,f68]) ).
fof(f68,plain,
! [X0] :
( ? [X1] : r2_hidden(X1,X0)
=> r2_hidden(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ( k1_xboole_0 = X0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( k1_xboole_0 = X0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X1] : ~ r2_hidden(X1,X0)
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( k1_xboole_0 = X0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f693,plain,
( r2_hidden(sK8(sK2,k1_xboole_0),k1_xboole_0)
| sP0(sK2,k1_xboole_0)
| ~ spl13_18 ),
inference(duplicate_literal_removal,[],[f691]) ).
fof(f691,plain,
( r2_hidden(sK8(sK2,k1_xboole_0),k1_xboole_0)
| sP0(sK2,k1_xboole_0)
| r2_hidden(sK8(sK2,k1_xboole_0),k1_xboole_0)
| ~ spl13_18 ),
inference(superposition,[],[f109,f681]) ).
fof(f681,plain,
( k1_xboole_0 = sK9(sK2,k1_xboole_0)
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl13_18
<=> k1_xboole_0 = sK9(sK2,k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f109,plain,
! [X0,X1] :
( r2_hidden(sK8(X0,X1),sK9(X0,X1))
| sP0(X0,X1)
| r2_hidden(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(sK8(X0,X1),X3) )
| ~ r2_hidden(sK8(X0,X1),X1) )
& ( ( r2_hidden(sK9(X0,X1),X0)
& r2_hidden(sK8(X0,X1),sK9(X0,X1)) )
| r2_hidden(sK8(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6) ) )
& ( ( r2_hidden(sK10(X0,X5),X0)
& r2_hidden(X5,sK10(X0,X5)) )
| ~ r2_hidden(X5,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f75,f78,f77,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3) )
| ~ r2_hidden(X2,X1) )
& ( ? [X4] :
( r2_hidden(X4,X0)
& r2_hidden(X2,X4) )
| r2_hidden(X2,X1) ) )
=> ( ( ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(sK8(X0,X1),X3) )
| ~ r2_hidden(sK8(X0,X1),X1) )
& ( ? [X4] :
( r2_hidden(X4,X0)
& r2_hidden(sK8(X0,X1),X4) )
| r2_hidden(sK8(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( ? [X4] :
( r2_hidden(X4,X0)
& r2_hidden(sK8(X0,X1),X4) )
=> ( r2_hidden(sK9(X0,X1),X0)
& r2_hidden(sK8(X0,X1),sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X5] :
( ? [X7] :
( r2_hidden(X7,X0)
& r2_hidden(X5,X7) )
=> ( r2_hidden(sK10(X0,X5),X0)
& r2_hidden(X5,sK10(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3) )
| ~ r2_hidden(X2,X1) )
& ( ? [X4] :
( r2_hidden(X4,X0)
& r2_hidden(X2,X4) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6) ) )
& ( ? [X7] :
( r2_hidden(X7,X0)
& r2_hidden(X5,X7) )
| ~ r2_hidden(X5,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3) )
| ~ r2_hidden(X2,X1) )
& ( ? [X3] :
( r2_hidden(X3,X0)
& r2_hidden(X2,X3) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X2,X3) ) )
& ( ? [X3] :
( r2_hidden(X3,X0)
& r2_hidden(X2,X3) )
| ~ r2_hidden(X2,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f686,plain,
( spl13_18
| spl13_19
| spl13_1
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f650,f281,f130,f683,f679]) ).
fof(f281,plain,
( spl13_7
<=> ! [X0] : ~ r2_hidden(X0,k3_tarski(k1_xboole_0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f650,plain,
( sP0(sK2,k1_xboole_0)
| k1_xboole_0 = sK9(sK2,k1_xboole_0)
| spl13_1
| ~ spl13_7 ),
inference(resolution,[],[f641,f462]) ).
fof(f462,plain,
( ! [X3] :
( ~ r2_hidden(X3,sK2)
| k1_xboole_0 = X3 )
| spl13_1 ),
inference(global_subsumption,[],[f90,f111,f110,f109,f89,f119,f120,f91,f99,f100,f121,f85,f97,f122,f93,f94,f98,f124,f125,f127,f116,f101,f102,f87,f92,f96,f113,f114,f115,f139,f140,f103,f152,f150,f163,f164,f165,f166,f118,f204,f205,f209,f208,f213,f214,f210,f200,f117,f222,f223,f227,f228,f104,f230,f231,f238,f234,f235,f239,f218,f221,f243,f245,f246,f247,f252,f254,f253,f257,f255,f262,f263,f264,f265,f256,f269,f270,f105,f271,f272,f273,f277,f288,f290,f289,f86,f132,f232,f327,f329,f106,f332,f220,f330,f352,f266,f356,f107,f358,f348,f351,f88,f360,f361,f108,f438,f350,f461,f391]) ).
fof(f391,plain,
! [X3] :
( k1_xboole_0 = k3_tarski(sK2)
| k1_xboole_0 = X3
| ~ r2_hidden(X3,sK2) ),
inference(forward_demodulation,[],[f86,f232]) ).
fof(f461,plain,
( m1_subset_1(sK5(k3_tarski(sK2)),sK1)
| spl13_1 ),
inference(global_subsumption,[],[f90,f111,f110,f109,f89,f119,f120,f91,f99,f100,f121,f85,f97,f122,f93,f94,f98,f124,f125,f127,f116,f101,f102,f87,f92,f96,f113,f114,f115,f139,f140,f103,f152,f150,f163,f164,f165,f166,f118,f204,f205,f209,f208,f213,f214,f210,f200,f117,f222,f223,f227,f228,f104,f230,f231,f238,f234,f235,f239,f218,f221,f243,f245,f246,f247,f252,f254,f253,f257,f255,f262,f263,f264,f265,f256,f269,f270,f105,f271,f272,f273,f277,f288,f290,f289,f86,f132,f232,f327,f329,f106,f332,f220,f330,f352,f266,f356,f107,f358,f348,f351,f88,f360,f361,f108,f438,f391,f350]) ).
fof(f350,plain,
( m1_subset_1(sK5(k3_tarski(sK2)),sK1)
| k1_xboole_0 = k3_tarski(sK2) ),
inference(resolution,[],[f330,f96]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,X0)
| r2_hidden(X2,k3_tarski(X1)) ),
inference(resolution,[],[f108,f122]) ).
fof(f108,plain,
! [X0,X1,X6,X5] :
( ~ sP0(X0,X1)
| ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6)
| r2_hidden(X5,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f361,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK2)
| m1_subset_1(X0,sK1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(resolution,[],[f348,f103]) ).
fof(f360,plain,
! [X0] :
( m1_subset_1(sK5(X0),sK1)
| ~ r2_hidden(X0,sK2)
| k1_xboole_0 = X0 ),
inference(resolution,[],[f348,f96]) ).
fof(f88,plain,
( k1_xboole_0 != sK3
| k1_xboole_0 != k5_setfam_1(sK1,sK2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f351,plain,
! [X0] :
( m1_subset_1(X0,sK1)
| v1_xboole_0(k3_tarski(sK2))
| ~ m1_subset_1(X0,k3_tarski(sK2)) ),
inference(resolution,[],[f330,f103]) ).
fof(f348,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| m1_subset_1(X1,sK1)
| ~ r2_hidden(X0,sK2) ),
inference(resolution,[],[f220,f117]) ).
fof(f358,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_tarski(X1))
| r2_hidden(sK10(X1,X0),X1) ),
inference(resolution,[],[f107,f122]) ).
fof(f107,plain,
! [X0,X1,X5] :
( ~ sP0(X0,X1)
| ~ r2_hidden(X5,X1)
| r2_hidden(sK10(X0,X5),X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f356,plain,
m1_subset_1(k1_xboole_0,sK4(k1_zfmisc_1(k1_xboole_0))),
inference(superposition,[],[f97,f266]) ).
fof(f266,plain,
k1_xboole_0 = sK6(sK4(k1_zfmisc_1(k1_xboole_0))),
inference(resolution,[],[f256,f89]) ).
fof(f352,plain,
( m1_subset_1(sK5(k3_tarski(sK2)),sK1)
| spl13_1 ),
inference(subsumption_resolution,[],[f350,f327]) ).
fof(f330,plain,
! [X0] :
( ~ r2_hidden(X0,k3_tarski(sK2))
| m1_subset_1(X0,sK1) ),
inference(resolution,[],[f329,f117]) ).
fof(f220,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(sK1))
| ~ r2_hidden(X0,sK2) ),
inference(resolution,[],[f117,f85]) ).
fof(f332,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k3_tarski(X1))
| r2_hidden(X0,sK10(X1,X0)) ),
inference(resolution,[],[f106,f122]) ).
fof(f106,plain,
! [X0,X1,X5] :
( ~ sP0(X0,X1)
| ~ r2_hidden(X5,X1)
| r2_hidden(X5,sK10(X0,X5)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f329,plain,
m1_subset_1(k3_tarski(sK2),k1_zfmisc_1(sK1)),
inference(subsumption_resolution,[],[f328,f85]) ).
fof(f328,plain,
( m1_subset_1(k3_tarski(sK2),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK1))) ),
inference(superposition,[],[f105,f232]) ).
fof(f86,plain,
! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK2)
| k1_xboole_0 = k5_setfam_1(sK1,sK2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f289,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,k3_tarski(k1_xboole_0)) ),
inference(resolution,[],[f277,f118]) ).
fof(f290,plain,
! [X0] : k5_setfam_1(X0,k3_tarski(k1_xboole_0)) = k3_tarski(k3_tarski(k1_xboole_0)),
inference(resolution,[],[f277,f104]) ).
fof(f288,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,k3_tarski(k1_xboole_0)) ),
inference(resolution,[],[f277,f117]) ).
fof(f277,plain,
! [X0] : m1_subset_1(k3_tarski(k1_xboole_0),k1_zfmisc_1(X0)),
inference(subsumption_resolution,[],[f275,f127]) ).
fof(f275,plain,
! [X0] :
( m1_subset_1(k3_tarski(k1_xboole_0),k1_zfmisc_1(X0))
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(superposition,[],[f105,f239]) ).
fof(f273,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(X1))))
| k5_setfam_1(X1,k5_setfam_1(k1_zfmisc_1(X1),X0)) = k3_tarski(k5_setfam_1(k1_zfmisc_1(X1),X0)) ),
inference(resolution,[],[f105,f104]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,k5_setfam_1(X1,X0)) ),
inference(resolution,[],[f105,f118]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,k5_setfam_1(X1,X0)) ),
inference(resolution,[],[f105,f117]) ).
fof(f105,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f270,plain,
k1_xboole_0 = sK6(sK4(k1_zfmisc_1(k1_xboole_0))),
inference(forward_demodulation,[],[f268,f125]) ).
fof(f268,plain,
! [X0] : k1_xboole_0 = sK6(sK4(k1_zfmisc_1(sK7(X0)))),
inference(resolution,[],[f256,f99]) ).
fof(f269,plain,
k1_xboole_0 = sK6(sK4(k1_zfmisc_1(k1_xboole_0))),
inference(forward_demodulation,[],[f267,f124]) ).
fof(f267,plain,
k1_xboole_0 = sK6(sK4(k1_zfmisc_1(sK12))),
inference(resolution,[],[f256,f120]) ).
fof(f256,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK6(sK4(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f253,f96]) ).
fof(f265,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK6(sK4(sK4(sK4(X0)))),X0) ),
inference(subsumption_resolution,[],[f261,f93]) ).
fof(f261,plain,
! [X0] :
( v1_xboole_0(sK4(X0))
| v1_xboole_0(X0)
| m1_subset_1(sK6(sK4(sK4(sK4(X0)))),X0) ),
inference(resolution,[],[f255,f245]) ).
fof(f264,plain,
! [X0] : k5_setfam_1(X0,sK6(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0)))))) = k3_tarski(sK6(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0)))))),
inference(subsumption_resolution,[],[f260,f91]) ).
fof(f260,plain,
! [X0] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| k5_setfam_1(X0,sK6(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0)))))) = k3_tarski(sK6(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0)))))) ),
inference(resolution,[],[f255,f104]) ).
fof(f263,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK4(sK4(k1_zfmisc_1(X0))))) ),
inference(subsumption_resolution,[],[f259,f91]) ).
fof(f259,plain,
! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK4(sK4(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f255,f118]) ).
fof(f262,plain,
! [X0,X1] :
( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK4(sK4(k1_zfmisc_1(X0))))) ),
inference(subsumption_resolution,[],[f258,f91]) ).
fof(f258,plain,
! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK4(sK4(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f255,f117]) ).
fof(f255,plain,
! [X0] :
( m1_subset_1(sK6(sK4(sK4(X0))),X0)
| v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f251,f93]) ).
fof(f251,plain,
! [X0] :
( v1_xboole_0(sK4(X0))
| v1_xboole_0(X0)
| m1_subset_1(sK6(sK4(sK4(X0))),X0) ),
inference(resolution,[],[f247,f245]) ).
fof(f257,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(sK4(k1_zfmisc_1(X0))))
| ~ m1_subset_1(X1,sK6(sK4(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f253,f103]) ).
fof(f253,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK6(sK4(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(subsumption_resolution,[],[f249,f91]) ).
fof(f249,plain,
! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK4(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f247,f118]) ).
fof(f254,plain,
! [X0] : k5_setfam_1(X0,sK6(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) = k3_tarski(sK6(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))),
inference(subsumption_resolution,[],[f250,f91]) ).
fof(f250,plain,
! [X0] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| k5_setfam_1(X0,sK6(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) = k3_tarski(sK6(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) ),
inference(resolution,[],[f247,f104]) ).
fof(f252,plain,
! [X0,X1] :
( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK4(k1_zfmisc_1(X0)))) ),
inference(subsumption_resolution,[],[f248,f91]) ).
fof(f248,plain,
! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK4(k1_zfmisc_1(X0)))) ),
inference(resolution,[],[f247,f117]) ).
fof(f247,plain,
! [X0] :
( m1_subset_1(sK6(sK4(X0)),X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f245,f97]) ).
fof(f246,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK5(sK4(X0)),X0)
| k1_xboole_0 = sK4(X0) ),
inference(resolution,[],[f245,f139]) ).
fof(f245,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sK4(X1))
| v1_xboole_0(X1)
| m1_subset_1(X0,X1) ),
inference(subsumption_resolution,[],[f244,f93]) ).
fof(f244,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(sK4(X1))
| ~ m1_subset_1(X0,sK4(X1)) ),
inference(resolution,[],[f221,f103]) ).
fof(f243,plain,
! [X0] :
( m1_subset_1(sK5(sK4(X0)),X0)
| v1_xboole_0(X0)
| k1_xboole_0 = sK4(X0) ),
inference(resolution,[],[f221,f96]) ).
fof(f221,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK4(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) ),
inference(resolution,[],[f117,f92]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1) ),
inference(resolution,[],[f117,f114]) ).
fof(f239,plain,
! [X0] : k5_setfam_1(X0,k1_xboole_0) = k3_tarski(k1_xboole_0),
inference(forward_demodulation,[],[f236,f125]) ).
fof(f236,plain,
! [X0] : k5_setfam_1(X0,sK7(k1_zfmisc_1(X0))) = k3_tarski(sK7(k1_zfmisc_1(X0))),
inference(resolution,[],[f104,f98]) ).
fof(f235,plain,
! [X0] : k5_setfam_1(X0,sK6(k1_zfmisc_1(k1_zfmisc_1(X0)))) = k3_tarski(sK6(k1_zfmisc_1(k1_zfmisc_1(X0)))),
inference(resolution,[],[f104,f97]) ).
fof(f234,plain,
! [X0] :
( k5_setfam_1(X0,sK5(k1_zfmisc_1(k1_zfmisc_1(X0)))) = k3_tarski(sK5(k1_zfmisc_1(k1_zfmisc_1(X0))))
| k1_zfmisc_1(k1_zfmisc_1(X0)) = k1_xboole_0 ),
inference(resolution,[],[f104,f139]) ).
fof(f238,plain,
! [X0] : k5_setfam_1(X0,sK4(k1_zfmisc_1(X0))) = k3_tarski(sK4(k1_zfmisc_1(X0))),
inference(subsumption_resolution,[],[f233,f91]) ).
fof(f233,plain,
! [X0] :
( k5_setfam_1(X0,sK4(k1_zfmisc_1(X0))) = k3_tarski(sK4(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0)) ),
inference(resolution,[],[f104,f92]) ).
fof(f231,plain,
! [X0] : k5_setfam_1(X0,k1_xboole_0) = k3_tarski(k1_xboole_0),
inference(resolution,[],[f104,f127]) ).
fof(f230,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ r1_tarski(X1,k1_zfmisc_1(X0)) ),
inference(resolution,[],[f104,f114]) ).
fof(f228,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| v1_xboole_0(sK6(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X0,sK6(k1_zfmisc_1(X1))) ),
inference(resolution,[],[f223,f103]) ).
fof(f227,plain,
! [X0] :
( m1_subset_1(sK5(sK6(k1_zfmisc_1(X0))),X0)
| k1_xboole_0 = sK6(k1_zfmisc_1(X0)) ),
inference(resolution,[],[f223,f96]) ).
fof(f223,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) ),
inference(resolution,[],[f117,f97]) ).
fof(f222,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK5(k1_zfmisc_1(X1)))
| k1_xboole_0 = k1_zfmisc_1(X1) ),
inference(resolution,[],[f117,f139]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f118,f114]) ).
fof(f210,plain,
k1_xboole_0 = sK6(k1_zfmisc_1(k1_xboole_0)),
inference(resolution,[],[f208,f89]) ).
fof(f214,plain,
k1_xboole_0 = sK6(k1_zfmisc_1(k1_xboole_0)),
inference(forward_demodulation,[],[f212,f125]) ).
fof(f212,plain,
! [X0] : k1_xboole_0 = sK6(k1_zfmisc_1(sK7(X0))),
inference(resolution,[],[f208,f99]) ).
fof(f213,plain,
k1_xboole_0 = sK6(k1_zfmisc_1(k1_xboole_0)),
inference(forward_demodulation,[],[f211,f124]) ).
fof(f211,plain,
k1_xboole_0 = sK6(k1_zfmisc_1(sK12)),
inference(resolution,[],[f208,f120]) ).
fof(f208,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK6(k1_zfmisc_1(X0)) ),
inference(resolution,[],[f205,f96]) ).
fof(f209,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,sK6(k1_zfmisc_1(X0))) ),
inference(resolution,[],[f205,f103]) ).
fof(f205,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f118,f97]) ).
fof(f204,plain,
! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK5(k1_zfmisc_1(X0)))
| k1_zfmisc_1(X0) = k1_xboole_0 ),
inference(resolution,[],[f118,f139]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f166,plain,
( k1_xboole_0 = sK5(sK2)
| k1_xboole_0 = sK2
| spl13_1 ),
inference(resolution,[],[f165,f96]) ).
fof(f165,plain,
( ! [X3] :
( ~ r2_hidden(X3,sK2)
| k1_xboole_0 = X3 )
| spl13_1 ),
inference(subsumption_resolution,[],[f86,f132]) ).
fof(f164,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(resolution,[],[f150,f103]) ).
fof(f163,plain,
! [X0] :
( ~ m1_subset_1(X0,sK5(X0))
| v1_xboole_0(sK5(X0))
| k1_xboole_0 = X0 ),
inference(resolution,[],[f150,f96]) ).
fof(f150,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(resolution,[],[f103,f101]) ).
fof(f152,plain,
! [X0] :
( v1_xboole_0(sK5(X0))
| ~ m1_subset_1(X0,sK5(X0))
| k1_xboole_0 = X0 ),
inference(resolution,[],[f103,f140]) ).
fof(f103,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f140,plain,
! [X0] :
( ~ r2_hidden(X0,sK5(X0))
| k1_xboole_0 = X0 ),
inference(resolution,[],[f96,f101]) ).
fof(f139,plain,
! [X0] :
( m1_subset_1(sK5(X0),X0)
| k1_xboole_0 = X0 ),
inference(resolution,[],[f96,f102]) ).
fof(f115,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f114,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f96,plain,
! [X0] :
( r2_hidden(sK5(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f92,plain,
! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f42,f64]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f87,plain,
( r2_hidden(sK3,sK2)
| k1_xboole_0 != k5_setfam_1(sK1,sK2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f102,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f101,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f116,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f127,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(superposition,[],[f98,f125]) ).
fof(f125,plain,
! [X0] : k1_xboole_0 = sK7(X0),
inference(resolution,[],[f94,f99]) ).
fof(f124,plain,
k1_xboole_0 = sK12,
inference(resolution,[],[f94,f120]) ).
fof(f98,plain,
! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f19,f72]) ).
fof(f72,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f94,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f93,plain,
! [X0] :
( ~ v1_xboole_0(sK4(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f122,plain,
! [X0] : sP0(X0,k3_tarski(X0)),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( sP0(X0,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f80]) ).
fof(f97,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f12,f70]) ).
fof(f70,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f100,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f99,plain,
! [X0] : v1_xboole_0(sK7(X0)),
inference(cnf_transformation,[],[f73]) ).
fof(f91,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f120,plain,
v1_xboole_0(sK12),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
v1_xboole_0(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f36,f83]) ).
fof(f83,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK12) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] : v1_xboole_0(X0),
inference(pure_predicate_removal,[],[f16]) ).
fof(f16,axiom,
? [X0] :
( v1_relat_1(X0)
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f119,plain,
~ v1_xboole_0(sK11),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
~ v1_xboole_0(sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f35,f81]) ).
fof(f81,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK11) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] : ~ v1_xboole_0(X0),
inference(pure_predicate_removal,[],[f18]) ).
fof(f18,axiom,
? [X0] :
( v1_relat_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f89,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
v1_xboole_0(k1_xboole_0),
inference(pure_predicate_removal,[],[f15]) ).
fof(f15,axiom,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f110,plain,
! [X0,X1] :
( r2_hidden(sK9(X0,X1),X0)
| r2_hidden(sK8(X0,X1),X1)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f111,plain,
! [X3,X0,X1] :
( ~ r2_hidden(sK8(X0,X1),X3)
| ~ r2_hidden(X3,X0)
| sP0(X0,X1)
| ~ r2_hidden(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f90,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
v1_xboole_0(k1_xboole_0),
inference(pure_predicate_removal,[],[f33]) ).
fof(f33,plain,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(pure_predicate_removal,[],[f13]) ).
fof(f13,axiom,
( v3_relat_1(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f641,plain,
( ! [X0] :
( r2_hidden(sK9(X0,k1_xboole_0),X0)
| sP0(X0,k1_xboole_0) )
| ~ spl13_7 ),
inference(forward_demodulation,[],[f640,f298]) ).
fof(f298,plain,
( k1_xboole_0 = k3_tarski(k1_xboole_0)
| ~ spl13_7 ),
inference(resolution,[],[f282,f96]) ).
fof(f282,plain,
( ! [X0] : ~ r2_hidden(X0,k3_tarski(k1_xboole_0))
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f640,plain,
( ! [X0] :
( r2_hidden(sK9(X0,k1_xboole_0),X0)
| sP0(X0,k3_tarski(k1_xboole_0)) )
| ~ spl13_7 ),
inference(forward_demodulation,[],[f623,f298]) ).
fof(f623,plain,
( ! [X0] :
( r2_hidden(sK9(X0,k3_tarski(k1_xboole_0)),X0)
| sP0(X0,k3_tarski(k1_xboole_0)) )
| ~ spl13_7 ),
inference(resolution,[],[f282,f110]) ).
fof(f616,plain,
~ spl13_9,
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| ~ spl13_9 ),
inference(resolution,[],[f296,f89]) ).
fof(f296,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl13_9
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f615,plain,
~ spl13_9,
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl13_9 ),
inference(resolution,[],[f296,f99]) ).
fof(f614,plain,
~ spl13_9,
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f613,plain,
( $false
| ~ spl13_9 ),
inference(resolution,[],[f296,f120]) ).
fof(f610,plain,
( spl13_16
| spl13_17
| spl13_1
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f544,f281,f130,f607,f603]) ).
fof(f603,plain,
( spl13_16
<=> k1_xboole_0 = sK8(k1_xboole_0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f607,plain,
( spl13_17
<=> sP0(k1_xboole_0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f544,plain,
( sP0(k1_xboole_0,sK2)
| k1_xboole_0 = sK8(k1_xboole_0,sK2)
| spl13_1
| ~ spl13_7 ),
inference(resolution,[],[f533,f462]) ).
fof(f533,plain,
( ! [X0] :
( r2_hidden(sK8(k1_xboole_0,X0),X0)
| sP0(k1_xboole_0,X0) )
| ~ spl13_7 ),
inference(forward_demodulation,[],[f532,f298]) ).
fof(f532,plain,
( ! [X0] :
( r2_hidden(sK8(k1_xboole_0,X0),X0)
| sP0(k3_tarski(k1_xboole_0),X0) )
| ~ spl13_7 ),
inference(forward_demodulation,[],[f510,f298]) ).
fof(f510,plain,
( ! [X0] :
( r2_hidden(sK8(k3_tarski(k1_xboole_0),X0),X0)
| sP0(k3_tarski(k1_xboole_0),X0) )
| ~ spl13_7 ),
inference(resolution,[],[f110,f282]) ).
fof(f480,plain,
( spl13_1
| ~ spl13_2
| spl13_14 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f479,plain,
( $false
| spl13_1
| ~ spl13_2
| spl13_14 ),
inference(subsumption_resolution,[],[f474,f89]) ).
fof(f474,plain,
( ~ v1_xboole_0(k1_xboole_0)
| spl13_1
| ~ spl13_2
| spl13_14 ),
inference(superposition,[],[f411,f468]) ).
fof(f468,plain,
( k1_xboole_0 = sK3
| spl13_1
| ~ spl13_2 ),
inference(resolution,[],[f462,f136]) ).
fof(f136,plain,
( r2_hidden(sK3,sK2)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl13_2
<=> r2_hidden(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f411,plain,
( ~ v1_xboole_0(sK3)
| spl13_14 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl13_14
<=> v1_xboole_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f460,plain,
( ~ spl13_1
| spl13_12 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| ~ spl13_1
| spl13_12 ),
inference(subsumption_resolution,[],[f455,f89]) ).
fof(f455,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl13_1
| spl13_12 ),
inference(superposition,[],[f376,f453]) ).
fof(f453,plain,
( k1_xboole_0 = k3_tarski(sK2)
| ~ spl13_1 ),
inference(global_subsumption,[],[f90,f111,f110,f109,f89,f119,f120,f91,f99,f100,f121,f85,f97,f122,f93,f94,f98,f124,f125,f127,f116,f101,f102,f87,f92,f96,f113,f114,f115,f139,f140,f103,f152,f150,f163,f164,f118,f204,f205,f209,f208,f213,f214,f210,f200,f117,f222,f223,f227,f228,f104,f230,f231,f238,f234,f235,f239,f218,f221,f243,f245,f246,f247,f252,f254,f253,f257,f255,f262,f263,f264,f265,f256,f269,f270,f105,f271,f272,f273,f277,f288,f290,f289,f86,f232,f329,f106,f332,f220,f330,f266,f356,f107,f358,f348,f351,f350,f88,f390,f131,f360,f361,f108,f438,f407,f406,f391]) ).
fof(f406,plain,
( k1_xboole_0 = k3_tarski(sK2)
| ~ spl13_1 ),
inference(superposition,[],[f131,f232]) ).
fof(f407,plain,
( k1_xboole_0 = k3_tarski(sK2)
| ~ spl13_1 ),
inference(superposition,[],[f232,f131]) ).
fof(f131,plain,
( k1_xboole_0 = k5_setfam_1(sK1,sK2)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f390,plain,
( k1_xboole_0 != sK3
| ~ spl13_1 ),
inference(global_subsumption,[],[f90,f111,f110,f109,f108,f89,f119,f120,f91,f99,f100,f121,f85,f97,f122,f93,f94,f98,f124,f125,f127,f116,f101,f102,f87,f92,f96,f113,f114,f115,f139,f140,f103,f152,f150,f163,f164,f131,f118,f204,f205,f209,f208,f213,f214,f210,f200,f117,f222,f223,f227,f228,f104,f230,f231,f238,f234,f235,f239,f218,f221,f243,f245,f246,f247,f252,f254,f253,f257,f255,f262,f263,f264,f265,f256,f269,f270,f105,f271,f272,f273,f277,f288,f290,f289,f86,f232,f329,f106,f332,f220,f330,f266,f356,f107,f358,f348,f361,f351,f350,f360,f88]) ).
fof(f376,plain,
( ~ v1_xboole_0(k3_tarski(sK2))
| spl13_12 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f375,plain,
( spl13_12
<=> v1_xboole_0(k3_tarski(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f452,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_12 ),
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| ~ spl13_1
| ~ spl13_2
| ~ spl13_12 ),
inference(subsumption_resolution,[],[f448,f390]) ).
fof(f448,plain,
( k1_xboole_0 = sK3
| ~ spl13_2
| ~ spl13_12 ),
inference(resolution,[],[f445,f136]) ).
fof(f445,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| k1_xboole_0 = X0 )
| ~ spl13_12 ),
inference(resolution,[],[f441,f96]) ).
fof(f441,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sK2) )
| ~ spl13_12 ),
inference(subsumption_resolution,[],[f440,f121]) ).
fof(f440,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK2)
| ~ r2_hidden(X1,X0)
| r2_hidden(X1,k1_xboole_0) )
| ~ spl13_12 ),
inference(resolution,[],[f108,f402]) ).
fof(f402,plain,
( sP0(sK2,k1_xboole_0)
| ~ spl13_12 ),
inference(superposition,[],[f122,f392]) ).
fof(f392,plain,
( k1_xboole_0 = k3_tarski(sK2)
| ~ spl13_12 ),
inference(global_subsumption,[],[f90,f111,f110,f109,f108,f89,f119,f120,f91,f99,f100,f121,f85,f97,f122,f93,f94,f98,f124,f125,f127,f116,f101,f102,f87,f92,f96,f113,f114,f115,f139,f140,f103,f152,f150,f163,f164,f118,f204,f205,f209,f208,f213,f214,f210,f200,f117,f222,f223,f227,f228,f104,f230,f231,f238,f234,f235,f239,f218,f221,f243,f245,f246,f247,f252,f254,f253,f257,f255,f262,f263,f264,f265,f256,f269,f270,f105,f271,f272,f273,f277,f288,f290,f289,f86,f232,f329,f106,f332,f220,f330,f266,f356,f107,f358,f348,f361,f351,f377,f382,f383,f384,f385,f350,f388,f360,f88,f391]) ).
fof(f388,plain,
( k1_xboole_0 = k3_tarski(sK2)
| ~ spl13_12 ),
inference(global_subsumption,[],[f90,f111,f110,f109,f108,f89,f119,f120,f91,f99,f100,f121,f85,f97,f122,f93,f94,f98,f124,f125,f127,f116,f101,f102,f87,f92,f96,f113,f114,f115,f139,f140,f103,f152,f150,f163,f164,f118,f204,f205,f209,f208,f213,f214,f210,f200,f117,f222,f223,f227,f228,f104,f230,f231,f238,f234,f235,f239,f218,f221,f243,f245,f246,f247,f252,f254,f253,f257,f255,f262,f263,f264,f265,f256,f269,f270,f105,f271,f272,f273,f277,f288,f290,f289,f86,f88,f232,f329,f106,f332,f220,f330,f266,f356,f107,f358,f348,f361,f351,f377,f382,f383,f384,f385,f350]) ).
fof(f385,plain,
( k1_xboole_0 = k3_tarski(sK2)
| ~ spl13_12 ),
inference(resolution,[],[f377,f94]) ).
fof(f384,plain,
( ! [X0] :
( k3_tarski(sK2) = X0
| ~ v1_xboole_0(X0) )
| ~ spl13_12 ),
inference(resolution,[],[f377,f115]) ).
fof(f383,plain,
( k1_xboole_0 = sK6(k1_zfmisc_1(k3_tarski(sK2)))
| ~ spl13_12 ),
inference(resolution,[],[f377,f208]) ).
fof(f382,plain,
( k1_xboole_0 = sK6(sK4(k1_zfmisc_1(k3_tarski(sK2))))
| ~ spl13_12 ),
inference(resolution,[],[f377,f256]) ).
fof(f377,plain,
( v1_xboole_0(k3_tarski(sK2))
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f417,plain,
( spl13_14
| ~ spl13_15
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f394,f134,f414,f410]) ).
fof(f414,plain,
( spl13_15
<=> m1_subset_1(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f394,plain,
( ~ m1_subset_1(sK2,sK3)
| v1_xboole_0(sK3)
| ~ spl13_2 ),
inference(resolution,[],[f136,f150]) ).
fof(f387,plain,
( spl13_1
| ~ spl13_12 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| spl13_1
| ~ spl13_12 ),
inference(subsumption_resolution,[],[f385,f327]) ).
fof(f381,plain,
( spl13_12
| spl13_13 ),
inference(avatar_split_clause,[],[f351,f379,f375]) ).
fof(f379,plain,
( spl13_13
<=> ! [X0] :
( m1_subset_1(X0,sK1)
| ~ m1_subset_1(X0,k3_tarski(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f371,plain,
( ~ spl13_10
| spl13_11
| spl13_5
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f362,f178,f174,f368,f364]) ).
fof(f364,plain,
( spl13_10
<=> r2_hidden(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f368,plain,
( spl13_11
<=> m1_subset_1(k1_xboole_0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f174,plain,
( spl13_5
<=> k1_xboole_0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f178,plain,
( spl13_6
<=> k1_xboole_0 = sK5(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f362,plain,
( m1_subset_1(k1_xboole_0,sK1)
| ~ r2_hidden(sK2,sK2)
| spl13_5
| ~ spl13_6 ),
inference(resolution,[],[f348,f313]) ).
fof(f313,plain,
( r2_hidden(k1_xboole_0,sK2)
| spl13_5
| ~ spl13_6 ),
inference(subsumption_resolution,[],[f312,f175]) ).
fof(f175,plain,
( k1_xboole_0 != sK2
| spl13_5 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f312,plain,
( r2_hidden(k1_xboole_0,sK2)
| k1_xboole_0 = sK2
| ~ spl13_6 ),
inference(superposition,[],[f96,f180]) ).
fof(f180,plain,
( k1_xboole_0 = sK5(sK2)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f309,plain,
( ~ spl13_4
| spl13_5 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| ~ spl13_4
| spl13_5 ),
inference(global_subsumption,[],[f90,f111,f110,f109,f108,f107,f106,f89,f119,f120,f91,f99,f100,f121,f85,f97,f122,f93,f94,f98,f124,f125,f127,f116,f101,f102,f87,f92,f96,f113,f114,f115,f139,f140,f103,f152,f150,f163,f164,f118,f204,f205,f209,f208,f213,f214,f210,f200,f117,f222,f223,f227,f228,f104,f230,f231,f238,f234,f235,f239,f218,f221,f243,f245,f246,f247,f252,f254,f253,f257,f255,f262,f263,f264,f265,f256,f266,f269,f270,f105,f271,f272,f273,f277,f288,f290,f289,f232,f220,f86,f88,f175,f161,f304,f305,f306,f307]) ).
fof(f307,plain,
( k1_xboole_0 = sK2
| ~ spl13_4 ),
inference(resolution,[],[f161,f94]) ).
fof(f306,plain,
( ! [X0] :
( sK2 = X0
| ~ v1_xboole_0(X0) )
| ~ spl13_4 ),
inference(resolution,[],[f161,f115]) ).
fof(f305,plain,
( k1_xboole_0 = sK6(k1_zfmisc_1(sK2))
| ~ spl13_4 ),
inference(resolution,[],[f161,f208]) ).
fof(f304,plain,
( k1_xboole_0 = sK6(sK4(k1_zfmisc_1(sK2)))
| ~ spl13_4 ),
inference(resolution,[],[f161,f256]) ).
fof(f161,plain,
( v1_xboole_0(sK2)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl13_4
<=> v1_xboole_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f301,plain,
( spl13_1
| ~ spl13_5
| ~ spl13_7 ),
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| spl13_1
| ~ spl13_5
| ~ spl13_7 ),
inference(subsumption_resolution,[],[f298,f240]) ).
fof(f240,plain,
( k1_xboole_0 != k3_tarski(k1_xboole_0)
| spl13_1
| ~ spl13_5 ),
inference(superposition,[],[f197,f237]) ).
fof(f237,plain,
( k5_setfam_1(sK1,k1_xboole_0) = k3_tarski(k1_xboole_0)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f232,f176]) ).
fof(f176,plain,
( k1_xboole_0 = sK2
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f197,plain,
( k1_xboole_0 != k5_setfam_1(sK1,k1_xboole_0)
| spl13_1
| ~ spl13_5 ),
inference(forward_demodulation,[],[f132,f176]) ).
fof(f297,plain,
( spl13_7
| spl13_9 ),
inference(avatar_split_clause,[],[f289,f295,f281]) ).
fof(f287,plain,
( spl13_7
| ~ spl13_8
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f279,f174,f284,f281]) ).
fof(f284,plain,
( spl13_8
<=> v1_xboole_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f279,plain,
( ! [X0] :
( ~ v1_xboole_0(sK1)
| ~ r2_hidden(X0,k3_tarski(k1_xboole_0)) )
| ~ spl13_5 ),
inference(resolution,[],[f276,f118]) ).
fof(f276,plain,
( m1_subset_1(k3_tarski(k1_xboole_0),k1_zfmisc_1(sK1))
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f274,f127]) ).
fof(f274,plain,
( m1_subset_1(k3_tarski(k1_xboole_0),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ spl13_5 ),
inference(superposition,[],[f105,f237]) ).
fof(f194,plain,
( spl13_4
| ~ spl13_5 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| spl13_4
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f192,f89]) ).
fof(f192,plain,
( ~ v1_xboole_0(k1_xboole_0)
| spl13_4
| ~ spl13_5 ),
inference(superposition,[],[f160,f176]) ).
fof(f160,plain,
( ~ v1_xboole_0(sK2)
| spl13_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f187,plain,
( ~ spl13_2
| spl13_3 ),
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| ~ spl13_2
| spl13_3 ),
inference(subsumption_resolution,[],[f183,f157]) ).
fof(f157,plain,
( ~ m1_subset_1(sK3,sK2)
| spl13_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl13_3
<=> m1_subset_1(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f183,plain,
( m1_subset_1(sK3,sK2)
| ~ spl13_2 ),
inference(resolution,[],[f136,f102]) ).
fof(f181,plain,
( spl13_5
| spl13_6
| spl13_1 ),
inference(avatar_split_clause,[],[f166,f130,f178,f174]) ).
fof(f162,plain,
( ~ spl13_3
| spl13_4
| spl13_2 ),
inference(avatar_split_clause,[],[f153,f134,f159,f155]) ).
fof(f153,plain,
( v1_xboole_0(sK2)
| ~ m1_subset_1(sK3,sK2)
| spl13_2 ),
inference(resolution,[],[f103,f135]) ).
fof(f135,plain,
( ~ r2_hidden(sK3,sK2)
| spl13_2 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( ~ spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f87,f134,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU430+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Mon Apr 29 21:23:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (14503)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (14507)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (14508)WARNING: value z3 for option sas not known
% 0.14/0.37 % (14506)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (14509)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (14508)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)
% 0.14/0.37 % (14510)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)
% 0.14/0.37 % (14511)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)
% 0.14/0.37 % (14512)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (14508)First to succeed.
% 0.14/0.39 TRYING [5]
% 0.14/0.40 % (14508)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Theorem for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (14508)------------------------------
% 0.14/0.40 % (14508)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (14508)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (14508)Memory used [KB]: 1064
% 0.14/0.40 % (14508)Time elapsed: 0.029 s
% 0.14/0.40 % (14508)Instructions burned: 41 (million)
% 0.14/0.40 % (14508)------------------------------
% 0.14/0.40 % (14508)------------------------------
% 0.14/0.40 % (14503)Success in time 0.045 s
%------------------------------------------------------------------------------