TSTP Solution File: SEU443+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU443+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n024.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 : Thu Aug 31 17:59:14 EDT 2023
% Result : Theorem 164.88s 24.02s
% Output : Refutation 164.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 30
% Syntax : Number of formulae : 149 ( 11 unt; 0 def)
% Number of atoms : 544 ( 46 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 644 ( 249 ~; 267 |; 79 &)
% ( 20 <=>; 28 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 4 con; 0-5 aty)
% Number of variables : 317 (; 265 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1039419,plain,
$false,
inference(avatar_sat_refutation,[],[f284,f285,f333,f477,f539,f3153,f1039410]) ).
fof(f1039410,plain,
( ~ spl27_1
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(avatar_contradiction_clause,[],[f1039409]) ).
fof(f1039409,plain,
( $false
| ~ spl27_1
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(subsumption_resolution,[],[f1039396,f47376]) ).
fof(f47376,plain,
( r2_hidden(k4_tarski(sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2))),sK19(sK3,sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2))))),k4_relat_1(sK3))
| ~ spl27_1
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(unit_resulting_resolution,[],[f379,f386,f4195,f261]) ).
fof(f261,plain,
! [X0,X4,X5] :
( r2_hidden(k4_tarski(X4,X5),k4_relat_1(X0))
| ~ r2_hidden(k4_tarski(X5,X4),X0)
| ~ v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X4,X5] :
( r2_hidden(k4_tarski(X4,X5),X1)
| ~ r2_hidden(k4_tarski(X5,X4),X0)
| k4_relat_1(X0) != X1
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ( ( k4_relat_1(X0) = X1
| ( ( ~ r2_hidden(k4_tarski(sK6(X0,X1),sK5(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK5(X0,X1),sK6(X0,X1)),X1) )
& ( r2_hidden(k4_tarski(sK6(X0,X1),sK5(X0,X1)),X0)
| r2_hidden(k4_tarski(sK5(X0,X1),sK6(X0,X1)),X1) ) ) )
& ( ! [X4,X5] :
( ( r2_hidden(k4_tarski(X4,X5),X1)
| ~ r2_hidden(k4_tarski(X5,X4),X0) )
& ( r2_hidden(k4_tarski(X5,X4),X0)
| ~ r2_hidden(k4_tarski(X4,X5),X1) ) )
| k4_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f123,f124]) ).
fof(f124,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ r2_hidden(k4_tarski(X3,X2),X0)
| ~ r2_hidden(k4_tarski(X2,X3),X1) )
& ( r2_hidden(k4_tarski(X3,X2),X0)
| r2_hidden(k4_tarski(X2,X3),X1) ) )
=> ( ( ~ r2_hidden(k4_tarski(sK6(X0,X1),sK5(X0,X1)),X0)
| ~ r2_hidden(k4_tarski(sK5(X0,X1),sK6(X0,X1)),X1) )
& ( r2_hidden(k4_tarski(sK6(X0,X1),sK5(X0,X1)),X0)
| r2_hidden(k4_tarski(sK5(X0,X1),sK6(X0,X1)),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( ( k4_relat_1(X0) = X1
| ? [X2,X3] :
( ( ~ r2_hidden(k4_tarski(X3,X2),X0)
| ~ r2_hidden(k4_tarski(X2,X3),X1) )
& ( r2_hidden(k4_tarski(X3,X2),X0)
| r2_hidden(k4_tarski(X2,X3),X1) ) ) )
& ( ! [X4,X5] :
( ( r2_hidden(k4_tarski(X4,X5),X1)
| ~ r2_hidden(k4_tarski(X5,X4),X0) )
& ( r2_hidden(k4_tarski(X5,X4),X0)
| ~ r2_hidden(k4_tarski(X4,X5),X1) ) )
| k4_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( ( k4_relat_1(X0) = X1
| ? [X2,X3] :
( ( ~ r2_hidden(k4_tarski(X3,X2),X0)
| ~ r2_hidden(k4_tarski(X2,X3),X1) )
& ( r2_hidden(k4_tarski(X3,X2),X0)
| r2_hidden(k4_tarski(X2,X3),X1) ) ) )
& ( ! [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),X1)
| ~ r2_hidden(k4_tarski(X3,X2),X0) )
& ( r2_hidden(k4_tarski(X3,X2),X0)
| ~ r2_hidden(k4_tarski(X2,X3),X1) ) )
| k4_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( k4_relat_1(X0) = X1
<=> ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X1)
<=> r2_hidden(k4_tarski(X3,X2),X0) ) )
| ~ v1_relat_1(X1) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] :
( v1_relat_1(X1)
=> ( k4_relat_1(X0) = X1
<=> ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),X1)
<=> r2_hidden(k4_tarski(X3,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',d7_relat_1) ).
fof(f4195,plain,
( r2_hidden(k4_tarski(sK19(sK3,sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2)))),sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2)))),sK3)
| ~ spl27_1
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(unit_resulting_resolution,[],[f3428,f270]) ).
fof(f270,plain,
! [X0,X5] :
( r2_hidden(k4_tarski(sK19(X0,X5),X5),X0)
| ~ r2_hidden(X5,k2_funct_5(X0)) ),
inference(equality_resolution,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X5] :
( r2_hidden(k4_tarski(sK19(X0,X5),X5),X0)
| ~ r2_hidden(X5,X1)
| k2_funct_5(X0) != X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ( k2_funct_5(X0) = X1
| ( ( ! [X3] : ~ r2_hidden(k4_tarski(X3,sK17(X0,X1)),X0)
| ~ r2_hidden(sK17(X0,X1),X1) )
& ( r2_hidden(k4_tarski(sK18(X0,X1),sK17(X0,X1)),X0)
| r2_hidden(sK17(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] : ~ r2_hidden(k4_tarski(X6,X5),X0) )
& ( r2_hidden(k4_tarski(sK19(X0,X5),X5),X0)
| ~ r2_hidden(X5,X1) ) )
| k2_funct_5(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f147,f150,f149,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ r2_hidden(k4_tarski(X3,X2),X0)
| ~ r2_hidden(X2,X1) )
& ( ? [X4] : r2_hidden(k4_tarski(X4,X2),X0)
| r2_hidden(X2,X1) ) )
=> ( ( ! [X3] : ~ r2_hidden(k4_tarski(X3,sK17(X0,X1)),X0)
| ~ r2_hidden(sK17(X0,X1),X1) )
& ( ? [X4] : r2_hidden(k4_tarski(X4,sK17(X0,X1)),X0)
| r2_hidden(sK17(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0,X1] :
( ? [X4] : r2_hidden(k4_tarski(X4,sK17(X0,X1)),X0)
=> r2_hidden(k4_tarski(sK18(X0,X1),sK17(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0,X5] :
( ? [X7] : r2_hidden(k4_tarski(X7,X5),X0)
=> r2_hidden(k4_tarski(sK19(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0,X1] :
( ( k2_funct_5(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ r2_hidden(k4_tarski(X3,X2),X0)
| ~ r2_hidden(X2,X1) )
& ( ? [X4] : r2_hidden(k4_tarski(X4,X2),X0)
| r2_hidden(X2,X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] : ~ r2_hidden(k4_tarski(X6,X5),X0) )
& ( ? [X7] : r2_hidden(k4_tarski(X7,X5),X0)
| ~ r2_hidden(X5,X1) ) )
| k2_funct_5(X0) != X1 ) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( k2_funct_5(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ r2_hidden(k4_tarski(X3,X2),X0)
| ~ r2_hidden(X2,X1) )
& ( ? [X3] : r2_hidden(k4_tarski(X3,X2),X0)
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ! [X3] : ~ r2_hidden(k4_tarski(X3,X2),X0) )
& ( ? [X3] : r2_hidden(k4_tarski(X3,X2),X0)
| ~ r2_hidden(X2,X1) ) )
| k2_funct_5(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( k2_funct_5(X0) = X1
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] : r2_hidden(k4_tarski(X3,X2),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',d2_funct_5) ).
fof(f3428,plain,
( r2_hidden(sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2))),k2_funct_5(sK3))
| ~ spl27_1
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(unit_resulting_resolution,[],[f278,f3224,f221]) ).
fof(f221,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK16(X0,X1),X1)
& r2_hidden(sK16(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f143,f144]) ).
fof(f144,plain,
! [X0,X1] :
( ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
=> ( ~ r2_hidden(sK16(X0,X1),X1)
& r2_hidden(sK16(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',d3_tarski) ).
fof(f3224,plain,
( r2_hidden(sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2))),sK2)
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(unit_resulting_resolution,[],[f3169,f222]) ).
fof(f222,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK16(X0,X1),X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f3169,plain,
( ~ r1_tarski(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2)))
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(forward_demodulation,[],[f3168,f621]) ).
fof(f621,plain,
( ! [X0] : k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),X0)) = k10_relset_1(sK1,sK1,k5_relat_1(k4_relat_1(sK3),sK3),X0)
| ~ spl27_3
| ~ spl27_5 ),
inference(forward_demodulation,[],[f608,f558]) ).
fof(f558,plain,
! [X0] : k9_relat_1(k5_relat_1(k4_relat_1(sK3),sK3),X0) = k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),X0)),
inference(unit_resulting_resolution,[],[f379,f386,f211]) ).
fof(f211,plain,
! [X2,X0,X1] :
( k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0))
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',t159_relat_1) ).
fof(f608,plain,
( ! [X0] : k9_relat_1(k5_relat_1(k4_relat_1(sK3),sK3),X0) = k10_relset_1(sK1,sK1,k5_relat_1(k4_relat_1(sK3),sK3),X0)
| ~ spl27_3
| ~ spl27_5 ),
inference(unit_resulting_resolution,[],[f551,f253]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',redefinition_k10_relset_1) ).
fof(f551,plain,
( m1_relset_1(k5_relat_1(k4_relat_1(sK3),sK3),sK1,sK1)
| ~ spl27_3
| ~ spl27_5 ),
inference(forward_demodulation,[],[f550,f499]) ).
fof(f499,plain,
( k9_relset_2(sK1,sK0,sK1,k4_relat_1(sK3),sK3) = k5_relat_1(k4_relat_1(sK3),sK3)
| ~ spl27_3 ),
inference(unit_resulting_resolution,[],[f298,f483,f255]) ).
fof(f255,plain,
! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',redefinition_k9_relset_2) ).
fof(f483,plain,
( m1_subset_1(k4_relat_1(sK3),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ spl27_3 ),
inference(forward_demodulation,[],[f318,f345]) ).
fof(f345,plain,
k6_relset_1(sK0,sK1,sK3) = k4_relat_1(sK3),
inference(unit_resulting_resolution,[],[f295,f241]) ).
fof(f241,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',redefinition_k6_relset_1) ).
fof(f295,plain,
m1_relset_1(sK3,sK0,sK1),
inference(unit_resulting_resolution,[],[f170,f249]) ).
fof(f249,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',redefinition_m2_relset_1) ).
fof(f170,plain,
m2_relset_1(sK3,sK0,sK1),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( ~ r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| ~ r1_tarski(sK2,k2_funct_5(sK3)) )
& ( r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| r1_tarski(sK2,k2_funct_5(sK3)) )
& m2_relset_1(sK3,sK0,sK1)
& m1_subset_1(sK2,k1_zfmisc_1(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f116,f118,f117]) ).
fof(f117,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ( ~ r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| ~ r1_tarski(X2,k2_funct_5(X3)) )
& ( r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| r1_tarski(X2,k2_funct_5(X3)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ( ? [X3] :
( ( ~ r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,X3),X3),sK2))
| ~ r1_tarski(sK2,k2_funct_5(X3)) )
& ( r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,X3),X3),sK2))
| r1_tarski(sK2,k2_funct_5(X3)) )
& m2_relset_1(X3,sK0,sK1) )
& m1_subset_1(sK2,k1_zfmisc_1(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ? [X3] :
( ( ~ r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,X3),X3),sK2))
| ~ r1_tarski(sK2,k2_funct_5(X3)) )
& ( r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,X3),X3),sK2))
| r1_tarski(sK2,k2_funct_5(X3)) )
& m2_relset_1(X3,sK0,sK1) )
=> ( ( ~ r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| ~ r1_tarski(sK2,k2_funct_5(sK3)) )
& ( r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| r1_tarski(sK2,k2_funct_5(sK3)) )
& m2_relset_1(sK3,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0,X1,X2] :
( ? [X3] :
( ( ~ r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| ~ r1_tarski(X2,k2_funct_5(X3)) )
& ( r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| r1_tarski(X2,k2_funct_5(X3)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
? [X0,X1,X2] :
( ? [X3] :
( ( ~ r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| ~ r1_tarski(X2,k2_funct_5(X3)) )
& ( r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| r1_tarski(X2,k2_funct_5(X3)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
? [X0,X1,X2] :
( ? [X3] :
( ( r1_tarski(X2,k2_funct_5(X3))
<~> r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> ( r1_tarski(X2,k2_funct_5(X3))
<=> r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> ( r1_tarski(X2,k2_funct_5(X3))
<=> r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',t55_relset_2) ).
fof(f318,plain,
( m1_subset_1(k6_relset_1(sK0,sK1,sK3),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl27_3
<=> m1_subset_1(k6_relset_1(sK0,sK1,sK3),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_3])]) ).
fof(f298,plain,
m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(unit_resulting_resolution,[],[f170,f244]) ).
fof(f244,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',dt_m2_relset_1) ).
fof(f550,plain,
( m1_relset_1(k9_relset_2(sK1,sK0,sK1,k4_relat_1(sK3),sK3),sK1,sK1)
| ~ spl27_5 ),
inference(forward_demodulation,[],[f327,f345]) ).
fof(f327,plain,
( m1_relset_1(k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK1,sK1)
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl27_5
<=> m1_relset_1(k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_5])]) ).
fof(f3168,plain,
( ~ r1_tarski(sK2,k10_relset_1(sK1,sK1,k5_relat_1(k4_relat_1(sK3),sK3),sK2))
| spl27_2
| ~ spl27_3 ),
inference(forward_demodulation,[],[f3167,f499]) ).
fof(f3167,plain,
( ~ r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k4_relat_1(sK3),sK3),sK2))
| spl27_2 ),
inference(forward_demodulation,[],[f283,f345]) ).
fof(f283,plain,
( ~ r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| spl27_2 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl27_2
<=> r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_2])]) ).
fof(f278,plain,
( r1_tarski(sK2,k2_funct_5(sK3))
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl27_1
<=> r1_tarski(sK2,k2_funct_5(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1])]) ).
fof(f386,plain,
v1_relat_1(k4_relat_1(sK3)),
inference(unit_resulting_resolution,[],[f379,f185]) ).
fof(f185,plain,
! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( v1_relat_1(X0)
=> v1_relat_1(k4_relat_1(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',dt_k4_relat_1) ).
fof(f379,plain,
v1_relat_1(sK3),
inference(unit_resulting_resolution,[],[f298,f247]) ).
fof(f247,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',cc1_relset_1) ).
fof(f1039396,plain,
( ~ r2_hidden(k4_tarski(sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2))),sK19(sK3,sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2))))),k4_relat_1(sK3))
| ~ spl27_1
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(unit_resulting_resolution,[],[f3224,f386,f47374,f266]) ).
fof(f266,plain,
! [X0,X1,X6,X7] :
( r2_hidden(X6,k9_relat_1(X0,X1))
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f199]) ).
fof(f199,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1,X2] :
( ( k9_relat_1(X0,X1) = X2
| ( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK11(X0,X1,X2)),X0) )
| ~ r2_hidden(sK11(X0,X1,X2),X2) )
& ( ( r2_hidden(sK12(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK12(X0,X1,X2),sK11(X0,X1,X2)),X0) )
| r2_hidden(sK11(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0) ) )
& ( ( r2_hidden(sK13(X0,X1,X6),X1)
& r2_hidden(k4_tarski(sK13(X0,X1,X6),X6),X0) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f133,f136,f135,f134]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X5,X3),X0) )
| r2_hidden(X3,X2) ) )
=> ( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,sK11(X0,X1,X2)),X0) )
| ~ r2_hidden(sK11(X0,X1,X2),X2) )
& ( ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X5,sK11(X0,X1,X2)),X0) )
| r2_hidden(sK11(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X5,sK11(X0,X1,X2)),X0) )
=> ( r2_hidden(sK12(X0,X1,X2),X1)
& r2_hidden(k4_tarski(sK12(X0,X1,X2),sK11(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0,X1,X6] :
( ? [X8] :
( r2_hidden(X8,X1)
& r2_hidden(k4_tarski(X8,X6),X0) )
=> ( r2_hidden(sK13(X0,X1,X6),X1)
& r2_hidden(k4_tarski(sK13(X0,X1,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ! [X1,X2] :
( ( k9_relat_1(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(X5,X1)
& r2_hidden(k4_tarski(X5,X3),X0) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(X7,X1)
| ~ r2_hidden(k4_tarski(X7,X6),X0) ) )
& ( ? [X8] :
( r2_hidden(X8,X1)
& r2_hidden(k4_tarski(X8,X6),X0) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1,X2] :
( ( k9_relat_1(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(k4_tarski(X4,X3),X0) ) )
& ( ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) )
| ~ r2_hidden(X3,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1,X2] :
( k9_relat_1(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) ) ) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( k9_relat_1(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(X4,X1)
& r2_hidden(k4_tarski(X4,X3),X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',d13_relat_1) ).
fof(f47374,plain,
( ~ r2_hidden(sK19(sK3,sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2)))),k9_relat_1(k4_relat_1(sK3),sK2))
| ~ spl27_1
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(unit_resulting_resolution,[],[f379,f3225,f4195,f266]) ).
fof(f3225,plain,
( ~ r2_hidden(sK16(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2))),k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2)))
| spl27_2
| ~ spl27_3
| ~ spl27_5 ),
inference(unit_resulting_resolution,[],[f3169,f223]) ).
fof(f223,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK16(X0,X1),X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f3153,plain,
( spl27_1
| ~ spl27_3
| ~ spl27_6 ),
inference(avatar_contradiction_clause,[],[f3152]) ).
fof(f3152,plain,
( $false
| spl27_1
| ~ spl27_3
| ~ spl27_6 ),
inference(subsumption_resolution,[],[f3126,f457]) ).
fof(f457,plain,
( ! [X0] : ~ r2_hidden(k4_tarski(X0,sK16(sK2,k2_funct_5(sK3))),sK3)
| spl27_1 ),
inference(unit_resulting_resolution,[],[f301,f269]) ).
fof(f269,plain,
! [X0,X6,X5] :
( r2_hidden(X5,k2_funct_5(X0))
| ~ r2_hidden(k4_tarski(X6,X5),X0) ),
inference(equality_resolution,[],[f225]) ).
fof(f225,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(k4_tarski(X6,X5),X0)
| k2_funct_5(X0) != X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f301,plain,
( ~ r2_hidden(sK16(sK2,k2_funct_5(sK3)),k2_funct_5(sK3))
| spl27_1 ),
inference(unit_resulting_resolution,[],[f279,f223]) ).
fof(f279,plain,
( ~ r1_tarski(sK2,k2_funct_5(sK3))
| spl27_1 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f3126,plain,
( r2_hidden(k4_tarski(sK13(sK3,k9_relat_1(k4_relat_1(sK3),sK2),sK16(sK2,k2_funct_5(sK3))),sK16(sK2,k2_funct_5(sK3))),sK3)
| spl27_1
| ~ spl27_3
| ~ spl27_6 ),
inference(unit_resulting_resolution,[],[f379,f688,f268]) ).
fof(f268,plain,
! [X0,X1,X6] :
( r2_hidden(k4_tarski(sK13(X0,X1,X6),X6),X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f197]) ).
fof(f197,plain,
! [X2,X0,X1,X6] :
( r2_hidden(k4_tarski(sK13(X0,X1,X6),X6),X0)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f688,plain,
( r2_hidden(sK16(sK2,k2_funct_5(sK3)),k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2)))
| spl27_1
| ~ spl27_3
| ~ spl27_6 ),
inference(unit_resulting_resolution,[],[f300,f606,f221]) ).
fof(f606,plain,
( r1_tarski(sK2,k9_relat_1(sK3,k9_relat_1(k4_relat_1(sK3),sK2)))
| ~ spl27_3
| ~ spl27_6 ),
inference(backward_demodulation,[],[f549,f558]) ).
fof(f549,plain,
( r1_tarski(sK2,k9_relat_1(k5_relat_1(k4_relat_1(sK3),sK3),sK2))
| ~ spl27_3
| ~ spl27_6 ),
inference(forward_demodulation,[],[f548,f499]) ).
fof(f548,plain,
( r1_tarski(sK2,k9_relat_1(k9_relset_2(sK1,sK0,sK1,k4_relat_1(sK3),sK3),sK2))
| ~ spl27_6 ),
inference(forward_demodulation,[],[f332,f345]) ).
fof(f332,plain,
( r1_tarski(sK2,k9_relat_1(k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl27_6
<=> r1_tarski(sK2,k9_relat_1(k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_6])]) ).
fof(f300,plain,
( r2_hidden(sK16(sK2,k2_funct_5(sK3)),sK2)
| spl27_1 ),
inference(unit_resulting_resolution,[],[f279,f222]) ).
fof(f539,plain,
( ~ spl27_3
| spl27_5 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| ~ spl27_3
| spl27_5 ),
inference(subsumption_resolution,[],[f532,f529]) ).
fof(f529,plain,
( m2_relset_1(k5_relat_1(k4_relat_1(sK3),sK3),sK1,sK1)
| ~ spl27_3 ),
inference(backward_demodulation,[],[f505,f499]) ).
fof(f505,plain,
( m2_relset_1(k9_relset_2(sK1,sK0,sK1,k4_relat_1(sK3),sK3),sK1,sK1)
| ~ spl27_3 ),
inference(unit_resulting_resolution,[],[f298,f483,f254]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',dt_k9_relset_2) ).
fof(f532,plain,
( ~ m2_relset_1(k5_relat_1(k4_relat_1(sK3),sK3),sK1,sK1)
| ~ spl27_3
| spl27_5 ),
inference(unit_resulting_resolution,[],[f528,f249]) ).
fof(f528,plain,
( ~ m1_relset_1(k5_relat_1(k4_relat_1(sK3),sK3),sK1,sK1)
| ~ spl27_3
| spl27_5 ),
inference(backward_demodulation,[],[f355,f499]) ).
fof(f355,plain,
( ~ m1_relset_1(k9_relset_2(sK1,sK0,sK1,k4_relat_1(sK3),sK3),sK1,sK1)
| spl27_5 ),
inference(backward_demodulation,[],[f328,f345]) ).
fof(f328,plain,
( ~ m1_relset_1(k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK1,sK1)
| spl27_5 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f477,plain,
spl27_3,
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| spl27_3 ),
inference(subsumption_resolution,[],[f468,f356]) ).
fof(f356,plain,
m2_relset_1(k4_relat_1(sK3),sK1,sK0),
inference(forward_demodulation,[],[f344,f345]) ).
fof(f344,plain,
m2_relset_1(k6_relset_1(sK0,sK1,sK3),sK1,sK0),
inference(unit_resulting_resolution,[],[f295,f242]) ).
fof(f242,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262',dt_k6_relset_1) ).
fof(f468,plain,
( ~ m2_relset_1(k4_relat_1(sK3),sK1,sK0)
| spl27_3 ),
inference(unit_resulting_resolution,[],[f354,f244]) ).
fof(f354,plain,
( ~ m1_subset_1(k4_relat_1(sK3),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| spl27_3 ),
inference(backward_demodulation,[],[f319,f345]) ).
fof(f319,plain,
( ~ m1_subset_1(k6_relset_1(sK0,sK1,sK3),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| spl27_3 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f333,plain,
( ~ spl27_5
| spl27_6
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f313,f281,f330,f326]) ).
fof(f313,plain,
( r1_tarski(sK2,k9_relat_1(k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| ~ m1_relset_1(k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK1,sK1)
| ~ spl27_2 ),
inference(superposition,[],[f282,f253]) ).
fof(f282,plain,
( r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f171,f281,f277]) ).
fof(f171,plain,
( r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| r1_tarski(sK2,k2_funct_5(sK3)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f284,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f172,f281,f277]) ).
fof(f172,plain,
( ~ r1_tarski(sK2,k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK3),sK3),sK2))
| ~ r1_tarski(sK2,k2_funct_5(sK3)) ),
inference(cnf_transformation,[],[f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU443+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 16:08:25 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.3QEePBRghw/Vampire---4.8_9262
% 0.15/0.37 % (9571)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (9579)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.22/0.43 % (9581)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (9582)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.22/0.43 % (9577)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.22/0.43 % (9583)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.22/0.43 % (9578)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.22/0.43 % (9580)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 164.88/23.98 % (9580)First to succeed.
% 164.88/24.02 % (9580)Refutation found. Thanks to Tanya!
% 164.88/24.02 % SZS status Theorem for Vampire---4
% 164.88/24.02 % SZS output start Proof for Vampire---4
% See solution above
% 164.88/24.02 % (9580)------------------------------
% 164.88/24.02 % (9580)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 164.88/24.02 % (9580)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 164.88/24.02 % (9580)Termination reason: Refutation
% 164.88/24.02
% 164.88/24.02 % (9580)Memory used [KB]: 637473
% 164.88/24.02 % (9580)Time elapsed: 23.554 s
% 164.88/24.02 % (9580)------------------------------
% 164.88/24.02 % (9580)------------------------------
% 164.88/24.02 % (9571)Success in time 23.581 s
% 164.88/24.02 % Vampire---4.8 exiting
%------------------------------------------------------------------------------