TSTP Solution File: NUM837+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 14:37:48 EDT 2024
% Result : Theorem 0.15s 0.35s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 86
% Syntax : Number of formulae : 278 ( 61 unt; 0 def)
% Number of atoms : 633 ( 196 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 636 ( 281 ~; 258 |; 16 &)
% ( 65 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 63 ( 61 usr; 58 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 410 ( 386 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f641,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f151,f156,f160,f164,f168,f172,f176,f180,f184,f188,f192,f196,f200,f204,f208,f212,f216,f228,f236,f240,f258,f262,f266,f270,f274,f288,f292,f296,f314,f318,f376,f409,f418,f423,f427,f439,f443,f449,f453,f457,f469,f473,f529,f533,f542,f550,f554,f558,f563,f568,f572,f576,f580,f584,f588,f592,f639]) ).
fof(f639,plain,
( ~ spl4_1
| ~ spl4_50 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| ~ spl4_1
| ~ spl4_50 ),
inference(trivial_inequality_removal,[],[f621]) ).
fof(f621,plain,
( vd269 != vd269
| ~ spl4_1
| ~ spl4_50 ),
inference(superposition,[],[f145,f562]) ).
fof(f562,plain,
( vd269 = vplus(vd268,sK3(vd269,vd268))
| ~ spl4_50 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f560,plain,
( spl4_50
<=> vd269 = vplus(vd268,sK3(vd269,vd268)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).
fof(f145,plain,
( ! [X0] : vd269 != vplus(vd268,X0)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl4_1
<=> ! [X0] : vd269 != vplus(vd268,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f592,plain,
( spl4_57
| ~ spl4_11
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f359,f316,f186,f590]) ).
fof(f590,plain,
( spl4_57
<=> ! [X0,X1] : less(X0,vplus(v1,vplus(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).
fof(f186,plain,
( spl4_11
<=> ! [X2,X1] : less(X1,vplus(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f316,plain,
( spl4_31
<=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f359,plain,
( ! [X0,X1] : less(X0,vplus(v1,vplus(X0,X1)))
| ~ spl4_11
| ~ spl4_31 ),
inference(superposition,[],[f187,f317]) ).
fof(f317,plain,
( ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1))
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f187,plain,
( ! [X2,X1] : less(X1,vplus(X1,X2))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f588,plain,
( spl4_56
| ~ spl4_20
| ~ spl4_36 ),
inference(avatar_split_clause,[],[f462,f425,f234,f586]) ).
fof(f586,plain,
( spl4_56
<=> ! [X0,X1] : vd269 != vplus(vplus(X1,vd268),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).
fof(f234,plain,
( spl4_20
<=> ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f425,plain,
( spl4_36
<=> ! [X0,X1] : vd269 != vplus(X0,vplus(X1,vd268)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
fof(f462,plain,
( ! [X0,X1] : vd269 != vplus(vplus(X1,vd268),X0)
| ~ spl4_20
| ~ spl4_36 ),
inference(superposition,[],[f426,f235]) ).
fof(f235,plain,
( ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f426,plain,
( ! [X0,X1] : vd269 != vplus(X0,vplus(X1,vd268))
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f584,plain,
( spl4_55
| ~ spl4_10
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f358,f316,f182,f582]) ).
fof(f582,plain,
( spl4_55
<=> ! [X0,X1] : greater(vplus(v1,vplus(X0,X1)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).
fof(f182,plain,
( spl4_10
<=> ! [X2,X0] : greater(vplus(X0,X2),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f358,plain,
( ! [X0,X1] : greater(vplus(v1,vplus(X0,X1)),X0)
| ~ spl4_10
| ~ spl4_31 ),
inference(superposition,[],[f183,f317]) ).
fof(f183,plain,
( ! [X2,X0] : greater(vplus(X0,X2),X0)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f580,plain,
( spl4_54
| ~ spl4_11
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f351,f316,f186,f578]) ).
fof(f578,plain,
( spl4_54
<=> ! [X0,X1] : less(v1,vplus(X0,vplus(v1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).
fof(f351,plain,
( ! [X0,X1] : less(v1,vplus(X0,vplus(v1,X1)))
| ~ spl4_11
| ~ spl4_31 ),
inference(superposition,[],[f187,f317]) ).
fof(f576,plain,
( spl4_53
| ~ spl4_10
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f350,f316,f182,f574]) ).
fof(f574,plain,
( spl4_53
<=> ! [X0,X1] : greater(vplus(X0,vplus(v1,X1)),v1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).
fof(f350,plain,
( ! [X0,X1] : greater(vplus(X0,vplus(v1,X1)),v1)
| ~ spl4_10
| ~ spl4_31 ),
inference(superposition,[],[f183,f317]) ).
fof(f572,plain,
( spl4_52
| ~ spl4_8
| ~ spl4_30 ),
inference(avatar_split_clause,[],[f326,f312,f174,f570]) ).
fof(f570,plain,
( spl4_52
<=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).
fof(f174,plain,
( spl4_8
<=> ! [X0,X1] : vplus(X0,X1) != X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f312,plain,
( spl4_30
<=> ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f326,plain,
( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2
| ~ spl4_8
| ~ spl4_30 ),
inference(superposition,[],[f175,f313]) ).
fof(f313,plain,
( ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2))
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f175,plain,
( ! [X0,X1] : vplus(X0,X1) != X1
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f568,plain,
( spl4_51
| ~ spl4_3
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f306,f294,f153,f565]) ).
fof(f565,plain,
( spl4_51
<=> vd271 = vplus(vd269,sK3(vd271,vd269)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).
fof(f153,plain,
( spl4_3
<=> less(vd269,vd271) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f294,plain,
( spl4_29
<=> ! [X0,X1] :
( vplus(X1,sK3(X0,X1)) = X0
| ~ less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f306,plain,
( vd271 = vplus(vd269,sK3(vd271,vd269))
| ~ spl4_3
| ~ spl4_29 ),
inference(resolution,[],[f295,f155]) ).
fof(f155,plain,
( less(vd269,vd271)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f295,plain,
( ! [X0,X1] :
( ~ less(X1,X0)
| vplus(X1,sK3(X0,X1)) = X0 )
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f563,plain,
( spl4_50
| ~ spl4_2
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f305,f294,f148,f560]) ).
fof(f148,plain,
( spl4_2
<=> less(vd268,vd269) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f305,plain,
( vd269 = vplus(vd268,sK3(vd269,vd268))
| ~ spl4_2
| ~ spl4_29 ),
inference(resolution,[],[f295,f150]) ).
fof(f150,plain,
( less(vd268,vd269)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f558,plain,
( spl4_49
| ~ spl4_8
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f280,f268,f174,f556]) ).
fof(f556,plain,
( spl4_49
<=> ! [X0] :
( vskolem2(X0) != X0
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).
fof(f268,plain,
( spl4_25
<=> ! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f280,plain,
( ! [X0] :
( vskolem2(X0) != X0
| v1 = X0 )
| ~ spl4_8
| ~ spl4_25 ),
inference(superposition,[],[f175,f269]) ).
fof(f269,plain,
( ! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 )
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f554,plain,
( spl4_48
| ~ spl4_20
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f253,f238,f234,f552]) ).
fof(f552,plain,
( spl4_48
<=> ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).
fof(f238,plain,
( spl4_21
<=> ! [X2,X0,X3] : vplus(vplus(X0,X2),X3) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f253,plain,
( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0
| ~ spl4_20
| ~ spl4_21 ),
inference(superposition,[],[f239,f235]) ).
fof(f239,plain,
( ! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f550,plain,
( spl4_47
| ~ spl4_20
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f251,f238,f234,f548]) ).
fof(f548,plain,
( spl4_47
<=> ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).
fof(f251,plain,
( ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0
| ~ spl4_20
| ~ spl4_21 ),
inference(superposition,[],[f239,f235]) ).
fof(f542,plain,
( spl4_46
| ~ spl4_20
| ~ spl4_36 ),
inference(avatar_split_clause,[],[f458,f425,f234,f540]) ).
fof(f540,plain,
( spl4_46
<=> ! [X0,X1] : vd269 != vplus(X1,vplus(vd268,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).
fof(f458,plain,
( ! [X0,X1] : vd269 != vplus(X1,vplus(vd268,X0))
| ~ spl4_20
| ~ spl4_36 ),
inference(superposition,[],[f426,f235]) ).
fof(f533,plain,
( spl4_45
| ~ spl4_11
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f283,f268,f186,f531]) ).
fof(f531,plain,
( spl4_45
<=> ! [X0] :
( less(v1,X0)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).
fof(f283,plain,
( ! [X0] :
( less(v1,X0)
| v1 = X0 )
| ~ spl4_11
| ~ spl4_25 ),
inference(superposition,[],[f187,f269]) ).
fof(f529,plain,
( spl4_44
| ~ spl4_10
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f282,f268,f182,f527]) ).
fof(f527,plain,
( spl4_44
<=> ! [X0] :
( greater(X0,v1)
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).
fof(f282,plain,
( ! [X0] :
( greater(X0,v1)
| v1 = X0 )
| ~ spl4_10
| ~ spl4_25 ),
inference(superposition,[],[f183,f269]) ).
fof(f473,plain,
( spl4_43
| ~ spl4_10
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f243,f234,f182,f471]) ).
fof(f471,plain,
( spl4_43
<=> ! [X0,X1] : greater(vplus(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).
fof(f243,plain,
( ! [X0,X1] : greater(vplus(X1,X0),X0)
| ~ spl4_10
| ~ spl4_20 ),
inference(superposition,[],[f183,f235]) ).
fof(f469,plain,
( spl4_42
| ~ spl4_11
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f242,f234,f186,f467]) ).
fof(f467,plain,
( spl4_42
<=> ! [X0,X1] : less(X0,vplus(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).
fof(f242,plain,
( ! [X0,X1] : less(X0,vplus(X1,X0))
| ~ spl4_11
| ~ spl4_20 ),
inference(superposition,[],[f187,f235]) ).
fof(f457,plain,
( spl4_41
| ~ spl4_11
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f232,f214,f186,f455]) ).
fof(f455,plain,
( spl4_41
<=> ! [X0,X1] : leq(X0,vplus(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f214,plain,
( spl4_18
<=> ! [X0,X1] :
( leq(X1,X0)
| ~ less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f232,plain,
( ! [X0,X1] : leq(X0,vplus(X0,X1))
| ~ spl4_11
| ~ spl4_18 ),
inference(resolution,[],[f215,f187]) ).
fof(f215,plain,
( ! [X0,X1] :
( ~ less(X1,X0)
| leq(X1,X0) )
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f453,plain,
( spl4_40
| ~ spl4_10
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f229,f210,f182,f451]) ).
fof(f451,plain,
( spl4_40
<=> ! [X0,X1] : geq(vplus(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).
fof(f210,plain,
( spl4_17
<=> ! [X0,X1] :
( geq(X1,X0)
| ~ greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f229,plain,
( ! [X0,X1] : geq(vplus(X0,X1),X0)
| ~ spl4_10
| ~ spl4_17 ),
inference(resolution,[],[f211,f183]) ).
fof(f211,plain,
( ! [X0,X1] :
( ~ greater(X1,X0)
| geq(X1,X0) )
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f449,plain,
( spl4_39
| ~ spl4_10
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f217,f190,f182,f447]) ).
fof(f447,plain,
( spl4_39
<=> ! [X0,X1] : ~ less(vplus(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).
fof(f190,plain,
( spl4_12
<=> ! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f217,plain,
( ! [X0,X1] : ~ less(vplus(X0,X1),X0)
| ~ spl4_10
| ~ spl4_12 ),
inference(resolution,[],[f191,f183]) ).
fof(f191,plain,
( ! [X0,X1] :
( ~ greater(X0,X1)
| ~ less(X0,X1) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f443,plain,
( spl4_38
| ~ spl4_1
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f401,f374,f144,f441]) ).
fof(f441,plain,
( spl4_38
<=> ! [X0] :
( vd269 != X0
| vd268 = vplus(X0,sK1(vd268,X0))
| vd268 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).
fof(f374,plain,
( spl4_32
<=> ! [X0,X1] :
( vplus(X0,sK0(X0,X1)) = X1
| vplus(X1,sK1(X0,X1)) = X0
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f401,plain,
( ! [X0] :
( vd269 != X0
| vd268 = vplus(X0,sK1(vd268,X0))
| vd268 = X0 )
| ~ spl4_1
| ~ spl4_32 ),
inference(superposition,[],[f145,f375]) ).
fof(f375,plain,
( ! [X0,X1] :
( vplus(X1,sK1(X0,X1)) = X0
| vplus(X0,sK0(X0,X1)) = X1
| X0 = X1 )
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f439,plain,
( spl4_37
| ~ spl4_1
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f388,f374,f144,f437]) ).
fof(f437,plain,
( spl4_37
<=> ! [X0] :
( vd269 != X0
| vd268 = vplus(X0,sK0(X0,vd268))
| vd268 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
fof(f388,plain,
( ! [X0] :
( vd269 != X0
| vd268 = vplus(X0,sK0(X0,vd268))
| vd268 = X0 )
| ~ spl4_1
| ~ spl4_32 ),
inference(superposition,[],[f145,f375]) ).
fof(f427,plain,
( spl4_36
| ~ spl4_26
| ~ spl4_30 ),
inference(avatar_split_clause,[],[f335,f312,f272,f425]) ).
fof(f272,plain,
( spl4_26
<=> ! [X0] : vd269 != vplus(X0,vd268) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f335,plain,
( ! [X0,X1] : vd269 != vplus(X0,vplus(X1,vd268))
| ~ spl4_26
| ~ spl4_30 ),
inference(superposition,[],[f273,f313]) ).
fof(f273,plain,
( ! [X0] : vd269 != vplus(X0,vd268)
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f423,plain,
( spl4_35
| ~ spl4_3
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f231,f214,f153,f420]) ).
fof(f420,plain,
( spl4_35
<=> leq(vd269,vd271) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
fof(f231,plain,
( leq(vd269,vd271)
| ~ spl4_3
| ~ spl4_18 ),
inference(resolution,[],[f215,f155]) ).
fof(f418,plain,
( spl4_34
| ~ spl4_2
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f230,f214,f148,f415]) ).
fof(f415,plain,
( spl4_34
<=> leq(vd268,vd269) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f230,plain,
( leq(vd268,vd269)
| ~ spl4_2
| ~ spl4_18 ),
inference(resolution,[],[f215,f150]) ).
fof(f409,plain,
( spl4_33
| ~ spl4_3
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f222,f206,f153,f406]) ).
fof(f406,plain,
( spl4_33
<=> greater(vd271,vd269) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f206,plain,
( spl4_16
<=> ! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f222,plain,
( greater(vd271,vd269)
| ~ spl4_3
| ~ spl4_16 ),
inference(resolution,[],[f207,f155]) ).
fof(f207,plain,
( ! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) )
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f376,plain,
spl4_32,
inference(avatar_split_clause,[],[f106,f374]) ).
fof(f106,plain,
! [X0,X1] :
( vplus(X0,sK0(X0,X1)) = X1
| vplus(X1,sK1(X0,X1)) = X0
| X0 = X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( vplus(X0,sK0(X0,X1)) = X1
| vplus(X1,sK1(X0,X1)) = X0
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f47,f74,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK0(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK1(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X21,X22] :
( ? [X24] : vplus(X21,X24) = X22
| ? [X23] : vplus(X22,X23) = X21
| X21 = X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(f318,plain,
spl4_31,
inference(avatar_split_clause,[],[f131,f316]) ).
fof(f131,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f98,f93,f93]) ).
fof(f93,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X34] : vplus(v1,X34) = vsucc(X34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f98,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X38,X39] :
( vplus(X38,v1) = vsucc(X38)
& vplus(X38,vsucc(X39)) = vsucc(vplus(X38,X39)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f314,plain,
spl4_30,
inference(avatar_split_clause,[],[f125,f312]) ).
fof(f125,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X35,X36,X37] : vplus(vplus(X35,X36),X37) = vplus(X35,vplus(X36,X37)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f296,plain,
spl4_29,
inference(avatar_split_clause,[],[f123,f294]) ).
fof(f123,plain,
! [X0,X1] :
( vplus(X1,sK3(X0,X1)) = X0
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( vplus(X1,sK3(X0,X1)) = X0
| ~ less(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f85,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK3(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X3] : vplus(X1,X3) = X0
| ~ less(X1,X0) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 )
& ( ? [X2] : vplus(X1,X2) = X0
| ~ less(X1,X0) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : vplus(X1,X2) = X0 ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X15,X16] :
( less(X16,X15)
<=> ? [X17] : vplus(X16,X17) = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f292,plain,
spl4_28,
inference(avatar_split_clause,[],[f121,f290]) ).
fof(f290,plain,
( spl4_28
<=> ! [X0,X1] :
( vplus(X0,sK2(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f121,plain,
! [X0,X1] :
( vplus(X0,sK2(X0,X1)) = X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK2(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f81,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK2(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X18,X19] :
( greater(X19,X18)
<=> ? [X20] : vplus(X18,X20) = X19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f288,plain,
spl4_27,
inference(avatar_split_clause,[],[f109,f286]) ).
fof(f286,plain,
( spl4_27
<=> ! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f109,plain,
! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( X0 != X1
=> ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X25,X26] :
( X25 != X26
=> ! [X27] : vplus(X27,X25) != vplus(X27,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof(f274,plain,
( spl4_26
| ~ spl4_1
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f241,f234,f144,f272]) ).
fof(f241,plain,
( ! [X0] : vd269 != vplus(X0,vd268)
| ~ spl4_1
| ~ spl4_20 ),
inference(superposition,[],[f145,f235]) ).
fof(f270,plain,
spl4_25,
inference(avatar_split_clause,[],[f128,f268]) ).
fof(f128,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f94,f93]) ).
fof(f94,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X40] :
( v1 != X40
=> vsucc(vskolem2(X40)) = X40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f266,plain,
spl4_24,
inference(avatar_split_clause,[],[f118,f264]) ).
fof(f264,plain,
( spl4_24
<=> ! [X0,X1] :
( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f118,plain,
! [X0,X1] :
( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( leq(X1,X0)
<=> ( X0 = X1
| less(X1,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X5,X6] :
( leq(X6,X5)
<=> ( X5 = X6
| less(X6,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(f262,plain,
spl4_23,
inference(avatar_split_clause,[],[f115,f260]) ).
fof(f260,plain,
( spl4_23
<=> ! [X0,X1] :
( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f115,plain,
! [X0,X1] :
( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( geq(X1,X0)
<=> ( X0 = X1
| greater(X1,X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X7,X8] :
( geq(X8,X7)
<=> ( X7 = X8
| greater(X8,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f258,plain,
spl4_22,
inference(avatar_split_clause,[],[f105,f256]) ).
fof(f256,plain,
( spl4_22
<=> ! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f105,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X13,X14] :
( less(X13,X14)
| greater(X13,X14)
| X13 = X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f240,plain,
spl4_21,
inference(avatar_split_clause,[],[f138,f238]) ).
fof(f138,plain,
! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
inference(equality_resolution,[],[f107]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) != X1
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| ! [X3] : vplus(X1,X3) != X0 ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| ~ ? [X3] : vplus(X1,X3) = X0 ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X21,X22] :
( ~ ? [X24] : vplus(X21,X24) = X22
| ~ ? [X23] : vplus(X22,X23) = X21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f236,plain,
spl4_20,
inference(avatar_split_clause,[],[f96,f234]) ).
fof(f96,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X30,X31] : vplus(X31,X30) = vplus(X30,X31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f228,plain,
( spl4_19
| ~ spl4_2
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f221,f206,f148,f225]) ).
fof(f225,plain,
( spl4_19
<=> greater(vd269,vd268) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f221,plain,
( greater(vd269,vd268)
| ~ spl4_2
| ~ spl4_16 ),
inference(resolution,[],[f207,f150]) ).
fof(f216,plain,
spl4_18,
inference(avatar_split_clause,[],[f119,f214]) ).
fof(f119,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f212,plain,
spl4_17,
inference(avatar_split_clause,[],[f116,f210]) ).
fof(f116,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f208,plain,
spl4_16,
inference(avatar_split_clause,[],[f113,f206]) ).
fof(f113,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X9,X10] :
( less(X9,X10)
=> greater(X10,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f204,plain,
spl4_15,
inference(avatar_split_clause,[],[f112,f202]) ).
fof(f202,plain,
( spl4_15
<=> ! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f112,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X11,X12] :
( greater(X11,X12)
=> less(X12,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f200,plain,
spl4_14,
inference(avatar_split_clause,[],[f111,f198]) ).
fof(f198,plain,
( spl4_14
<=> ! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f111,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( geq(X0,X1)
=> leq(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3,X4] :
( geq(X3,X4)
=> leq(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof(f196,plain,
spl4_13,
inference(avatar_split_clause,[],[f110,f194]) ).
fof(f194,plain,
( spl4_13
<=> ! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f110,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( leq(X0,X1)
=> geq(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2] :
( leq(X1,X2)
=> geq(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof(f192,plain,
spl4_12,
inference(avatar_split_clause,[],[f104,f190]) ).
fof(f104,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X13,X14] :
( ~ less(X13,X14)
| ~ greater(X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f188,plain,
spl4_11,
inference(avatar_split_clause,[],[f142,f186]) ).
fof(f142,plain,
! [X2,X1] : less(X1,vplus(X1,X2)),
inference(equality_resolution,[],[f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( less(X1,X0)
| vplus(X1,X2) != X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f184,plain,
spl4_10,
inference(avatar_split_clause,[],[f141,f182]) ).
fof(f141,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( greater(X1,X0)
| vplus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f180,plain,
spl4_9,
inference(avatar_split_clause,[],[f136,f178]) ).
fof(f178,plain,
( spl4_9
<=> ! [X2,X1] : vplus(X1,X2) != X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f136,plain,
! [X2,X1] : vplus(X1,X2) != X1,
inference(equality_resolution,[],[f102]) ).
fof(f102,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| X0 != X1 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| X0 != X1 ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X1,X2) = X0
| X0 != X1 ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X21,X22] :
( ~ ? [X23] : vplus(X22,X23) = X21
| X21 != X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f176,plain,
spl4_8,
inference(avatar_split_clause,[],[f95,f174]) ).
fof(f95,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X28,X29] : vplus(X28,X29) != X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof(f172,plain,
spl4_7,
inference(avatar_split_clause,[],[f140,f170]) ).
fof(f170,plain,
( spl4_7
<=> ! [X1] : leq(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f140,plain,
! [X1] : leq(X1,X1),
inference(equality_resolution,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( leq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f168,plain,
spl4_6,
inference(avatar_split_clause,[],[f139,f166]) ).
fof(f166,plain,
( spl4_6
<=> ! [X1] : geq(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f139,plain,
! [X1] : geq(X1,X1),
inference(equality_resolution,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( geq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f164,plain,
spl4_5,
inference(avatar_split_clause,[],[f135,f162]) ).
fof(f162,plain,
( spl4_5
<=> ! [X1] : ~ less(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f135,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X13,X14] :
( ~ less(X13,X14)
| X13 != X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f160,plain,
spl4_4,
inference(avatar_split_clause,[],[f134,f158]) ).
fof(f158,plain,
( spl4_4
<=> ! [X1] : ~ greater(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f134,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X13,X14] :
( ~ greater(X13,X14)
| X13 != X14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f156,plain,
spl4_3,
inference(avatar_split_clause,[],[f90,f153]) ).
fof(f90,plain,
less(vd269,vd271),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
less(vd269,vd271),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(170), 272, 0)') ).
fof(f151,plain,
spl4_2,
inference(avatar_split_clause,[],[f89,f148]) ).
fof(f89,plain,
less(vd268,vd269),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
less(vd268,vd269),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).
fof(f146,plain,
spl4_1,
inference(avatar_split_clause,[],[f88,f144]) ).
fof(f88,plain,
! [X0] : vd269 != vplus(vd268,X0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] : vd269 != vplus(vd268,X0),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] : vd269 = vplus(vd268,X0),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] : vd269 = vplus(vd268,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(171)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:54:11 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.31 % (23712)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (23715)WARNING: value z3 for option sas not known
% 0.15/0.33 % (23714)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (23719)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)
% 0.15/0.33 % (23717)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)
% 0.15/0.33 % (23716)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (23718)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)
% 0.15/0.33 % (23715)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)
% 0.15/0.33 % (23713)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [1]
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [2]
% 0.15/0.34 TRYING [2]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 % (23717)First to succeed.
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [5]
% 0.15/0.35 % (23717)Refutation found. Thanks to Tanya!
% 0.15/0.35 % SZS status Theorem for theBenchmark
% 0.15/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.35 % (23717)------------------------------
% 0.15/0.35 % (23717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.35 % (23717)Termination reason: Refutation
% 0.15/0.35
% 0.15/0.35 % (23717)Memory used [KB]: 1088
% 0.15/0.35 % (23717)Time elapsed: 0.018 s
% 0.15/0.35 % (23717)Instructions burned: 31 (million)
% 0.15/0.35 % (23717)------------------------------
% 0.15/0.35 % (23717)------------------------------
% 0.15/0.35 % (23712)Success in time 0.032 s
%------------------------------------------------------------------------------