TSTP Solution File: COM023+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 10:47:31 EDT 2024
% Result : Theorem 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 49
% Syntax : Number of formulae : 498 ( 10 unt; 0 def)
% Number of atoms : 2416 ( 32 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 3367 (1449 ~;1641 |; 205 &)
% ( 44 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 19 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-3 aty)
% Number of variables : 800 ( 741 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f916,plain,
$false,
inference(avatar_sat_refutation,[],[f364,f388,f420,f442,f445,f451,f467,f468,f472,f506,f509,f553,f556,f595,f600,f829,f835,f882,f886,f910]) ).
fof(f910,plain,
( spl22_1
| ~ spl22_7
| spl22_17
| ~ spl22_18 ),
inference(avatar_contradiction_clause,[],[f909]) ).
fof(f909,plain,
( $false
| spl22_1
| ~ spl22_7
| spl22_17
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f908,f436]) ).
fof(f436,plain,
( aElement0(sK11(xR))
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl22_7
<=> aElement0(sK11(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f908,plain,
( ~ aElement0(sK11(xR))
| spl22_1
| spl22_17
| ~ spl22_18 ),
inference(subsumption_resolution,[],[f905,f880]) ).
fof(f880,plain,
( sdtmndtasgtdt0(sK9(xR),xR,sK11(xR))
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f879,plain,
( spl22_18
<=> sdtmndtasgtdt0(sK9(xR),xR,sK11(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).
fof(f905,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK11(xR))
| ~ aElement0(sK11(xR))
| spl22_1
| spl22_17 ),
inference(resolution,[],[f877,f476]) ).
fof(f476,plain,
( ! [X0] :
( sdtmndtasgtdt0(sK10(xR),xR,sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0) )
| spl22_1 ),
inference(global_subsumption,[],[f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f352,f349,f358,f365,f354,f355,f376,f379,f378,f98,f398,f399,f400,f402,f403,f374,f410,f411,f408,f421,f430,f432,f433,f429,f333,f448,f351,f99,f463,f465,f466,f474,f475,f461]) ).
fof(f461,plain,
! [X0] :
( sdtmndtasgtdt0(sK10(xR),xR,sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| sP0(xR) ),
inference(subsumption_resolution,[],[f460,f105]) ).
fof(f460,plain,
! [X0] :
( sdtmndtasgtdt0(sK10(xR),xR,sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(subsumption_resolution,[],[f452,f106]) ).
fof(f452,plain,
! [X0] :
( sdtmndtasgtdt0(sK10(xR),xR,sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(sK10(xR))
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(resolution,[],[f99,f108]) ).
fof(f475,plain,
( ! [X0] :
( sdtmndtasgtdt0(sK11(xR),xR,sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0) )
| spl22_1 ),
inference(global_subsumption,[],[f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f352,f349,f358,f365,f354,f355,f376,f379,f378,f98,f398,f399,f400,f402,f403,f374,f410,f411,f408,f421,f430,f432,f433,f429,f333,f448,f351,f99,f461,f463,f465,f466,f474]) ).
fof(f474,plain,
! [X0] :
( sdtmndtasgtdt0(sK11(xR),xR,sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| sP0(xR) ),
inference(subsumption_resolution,[],[f473,f105]) ).
fof(f473,plain,
! [X0] :
( sdtmndtasgtdt0(sK11(xR),xR,sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(subsumption_resolution,[],[f453,f107]) ).
fof(f453,plain,
! [X0] :
( sdtmndtasgtdt0(sK11(xR),xR,sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(sK11(xR))
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(resolution,[],[f99,f109]) ).
fof(f466,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X1,X0))
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0) ),
inference(subsumption_resolution,[],[f457,f94]) ).
fof(f457,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X1,X0))
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f456]) ).
fof(f456,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X1,X0))
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X2) ),
inference(resolution,[],[f99,f148]) ).
fof(f465,plain,
! [X0,X1] :
( sdtmndtasgtdt0(sK19(xR,X0),xR,sK8(X1,sK19(xR,X0)))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(sK19(xR,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f464,f96]) ).
fof(f464,plain,
! [X0,X1] :
( sdtmndtasgtdt0(sK19(xR,X0),xR,sK8(X1,sK19(xR,X0)))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(sK19(xR,X0))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ isTerminating0(xR) ),
inference(subsumption_resolution,[],[f458,f94]) ).
fof(f458,plain,
! [X0,X1] :
( sdtmndtasgtdt0(sK19(xR,X0),xR,sK8(X1,sK19(xR,X0)))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(sK19(xR,X0))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ isTerminating0(xR) ),
inference(duplicate_literal_removal,[],[f455]) ).
fof(f455,plain,
! [X0,X1] :
( sdtmndtasgtdt0(sK19(xR,X0),xR,sK8(X1,sK19(xR,X0)))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(sK19(xR,X0))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ isTerminating0(xR) ),
inference(resolution,[],[f99,f164]) ).
fof(f463,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X1,X0))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f459,f94]) ).
fof(f459,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X1,X0))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f454]) ).
fof(f454,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X1,X0))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f99,f152]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| sdtmndtasgtdt0(X2,xR,sK8(X1,X2))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X2,xR,sK8(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK8(X1,X2))
& aElement0(sK8(X1,X2)) )
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f26,f59]) ).
fof(f59,plain,
! [X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X2,xR,sK8(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK8(X1,X2))
& aElement0(sK8(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& sdtmndtasgtdt0(X0,xR,X1)
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
fof(f351,plain,
( aElement0(sK8(sK11(xR),sK9(xR)))
| sP0(xR) ),
inference(subsumption_resolution,[],[f350,f107]) ).
fof(f350,plain,
( aElement0(sK8(sK11(xR),sK9(xR)))
| ~ aElement0(sK11(xR))
| sP0(xR) ),
inference(subsumption_resolution,[],[f341,f105]) ).
fof(f341,plain,
( aElement0(sK8(sK11(xR),sK9(xR)))
| ~ aElement0(sK9(xR))
| ~ aElement0(sK11(xR))
| sP0(xR) ),
inference(resolution,[],[f336,f109]) ).
fof(f448,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| sP0(xR) ),
inference(subsumption_resolution,[],[f447,f105]) ).
fof(f447,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(subsumption_resolution,[],[f390,f106]) ).
fof(f390,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(sK10(xR))
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(resolution,[],[f98,f108]) ).
fof(f333,plain,
! [X0] :
( aElement0(sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| sP0(xR) ),
inference(subsumption_resolution,[],[f332,f105]) ).
fof(f332,plain,
! [X0] :
( aElement0(sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(subsumption_resolution,[],[f324,f106]) ).
fof(f324,plain,
! [X0] :
( aElement0(sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(sK10(xR))
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(resolution,[],[f97,f108]) ).
fof(f429,plain,
( aElement0(sK8(sK11(xR),sK10(xR)))
| ~ aElement0(sK11(xR))
| spl22_1 ),
inference(subsumption_resolution,[],[f423,f358]) ).
fof(f423,plain,
( aElement0(sK8(sK11(xR),sK10(xR)))
| ~ aElement0(sK11(xR))
| sP0(xR)
| spl22_1 ),
inference(resolution,[],[f421,f109]) ).
fof(f433,plain,
( ! [X0] :
( aElement0(sK8(X0,sK10(xR)))
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(sK9(xR),xR,X0)
| ~ aElement0(sK9(xR)) )
| spl22_1 ),
inference(subsumption_resolution,[],[f427,f94]) ).
fof(f427,plain,
( ! [X0] :
( aElement0(sK8(X0,sK10(xR)))
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(sK9(xR),xR,X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK9(xR)) )
| spl22_1 ),
inference(duplicate_literal_removal,[],[f426]) ).
fof(f426,plain,
( ! [X0] :
( aElement0(sK8(X0,sK10(xR)))
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK9(xR)) )
| spl22_1 ),
inference(resolution,[],[f421,f148]) ).
fof(f432,plain,
( aElement0(sK8(sK19(xR,sK9(xR)),sK10(xR)))
| ~ aElement0(sK19(xR,sK9(xR)))
| ~ aElement0(sK9(xR))
| spl22_1 ),
inference(subsumption_resolution,[],[f431,f96]) ).
fof(f431,plain,
( aElement0(sK8(sK19(xR,sK9(xR)),sK10(xR)))
| ~ aElement0(sK19(xR,sK9(xR)))
| ~ aElement0(sK9(xR))
| ~ isTerminating0(xR)
| spl22_1 ),
inference(subsumption_resolution,[],[f425,f94]) ).
fof(f425,plain,
( aElement0(sK8(sK19(xR,sK9(xR)),sK10(xR)))
| ~ aElement0(sK19(xR,sK9(xR)))
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK9(xR))
| ~ isTerminating0(xR)
| spl22_1 ),
inference(resolution,[],[f421,f164]) ).
fof(f430,plain,
( aElement0(sK8(sK9(xR),sK10(xR)))
| ~ aElement0(sK9(xR))
| spl22_1 ),
inference(subsumption_resolution,[],[f428,f94]) ).
fof(f428,plain,
( aElement0(sK8(sK9(xR),sK10(xR)))
| ~ aElement0(sK9(xR))
| ~ aRewritingSystem0(xR)
| spl22_1 ),
inference(duplicate_literal_removal,[],[f424]) ).
fof(f424,plain,
( aElement0(sK8(sK9(xR),sK10(xR)))
| ~ aElement0(sK9(xR))
| ~ aElement0(sK9(xR))
| ~ aRewritingSystem0(xR)
| spl22_1 ),
inference(resolution,[],[f421,f152]) ).
fof(f421,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| aElement0(sK8(X0,sK10(xR)))
| ~ aElement0(X0) )
| spl22_1 ),
inference(subsumption_resolution,[],[f333,f358]) ).
fof(f408,plain,
( aElement0(sK8(sK14(xR),sK13(xR)))
| sP2(xR) ),
inference(subsumption_resolution,[],[f407,f117]) ).
fof(f407,plain,
( aElement0(sK8(sK14(xR),sK13(xR)))
| ~ aElement0(sK13(xR))
| sP2(xR) ),
inference(subsumption_resolution,[],[f404,f118]) ).
fof(f404,plain,
( ~ aElement0(sK14(xR))
| aElement0(sK8(sK14(xR),sK13(xR)))
| ~ aElement0(sK13(xR))
| sP2(xR) ),
inference(resolution,[],[f374,f120]) ).
fof(f411,plain,
! [X0,X1] :
( aElement0(sK8(sK21(X0,xR,X1),X1))
| ~ aElement0(X1)
| aReductOfIn0(X0,X1,xR)
| ~ sP6(X0,xR,X1) ),
inference(subsumption_resolution,[],[f406,f140]) ).
fof(f406,plain,
! [X0,X1] :
( ~ aElement0(sK21(X0,xR,X1))
| aElement0(sK8(sK21(X0,xR,X1),X1))
| ~ aElement0(X1)
| aReductOfIn0(X0,X1,xR)
| ~ sP6(X0,xR,X1) ),
inference(resolution,[],[f374,f141]) ).
fof(f410,plain,
( aElement0(sK8(sK15(xR),sK13(xR)))
| sP2(xR) ),
inference(subsumption_resolution,[],[f409,f117]) ).
fof(f409,plain,
( aElement0(sK8(sK15(xR),sK13(xR)))
| ~ aElement0(sK13(xR))
| sP2(xR) ),
inference(subsumption_resolution,[],[f405,f119]) ).
fof(f405,plain,
( ~ aElement0(sK15(xR))
| aElement0(sK8(sK15(xR),sK13(xR)))
| ~ aElement0(sK13(xR))
| sP2(xR) ),
inference(resolution,[],[f374,f121]) ).
fof(f374,plain,
! [X0,X1] :
( ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X1)
| aElement0(sK8(X1,X0))
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f373,f94]) ).
fof(f373,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sK8(X1,X0))
| ~ aRewritingSystem0(xR)
| ~ aReductOfIn0(X1,X0,xR) ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f366,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sK8(X1,X0))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ aReductOfIn0(X1,X0,xR) ),
inference(resolution,[],[f355,f202]) ).
fof(f403,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,X1))
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) ),
inference(subsumption_resolution,[],[f395,f94]) ).
fof(f395,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,X1))
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f394]) ).
fof(f394,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,X1))
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X2) ),
inference(resolution,[],[f98,f148]) ).
fof(f402,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK19(xR,X1)))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(sK19(xR,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f401,f96]) ).
fof(f401,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK19(xR,X1)))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(sK19(xR,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ isTerminating0(xR) ),
inference(subsumption_resolution,[],[f396,f94]) ).
fof(f396,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK19(xR,X1)))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(sK19(xR,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR)
| ~ isTerminating0(xR) ),
inference(duplicate_literal_removal,[],[f393]) ).
fof(f393,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK19(xR,X1)))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(sK19(xR,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1)
| ~ isTerminating0(xR) ),
inference(resolution,[],[f98,f164]) ).
fof(f400,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,X1))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f397,f94]) ).
fof(f397,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,X1))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f392,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,X1))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f98,f152]) ).
fof(f399,plain,
( ! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(sK11(xR))
| ~ aElement0(X0)
| ~ aElement0(sK9(xR)) )
| spl22_1 ),
inference(subsumption_resolution,[],[f391,f358]) ).
fof(f391,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(sK11(xR))
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(resolution,[],[f98,f109]) ).
fof(f398,plain,
( ! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(sK10(xR))
| ~ aElement0(X0)
| ~ aElement0(sK9(xR)) )
| spl22_1 ),
inference(subsumption_resolution,[],[f390,f358]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| sdtmndtasgtdt0(X1,xR,sK8(X1,X2))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f378,plain,
( aElement0(sK8(sK18(xR),sK17(xR)))
| sP4(xR) ),
inference(subsumption_resolution,[],[f377,f128]) ).
fof(f377,plain,
( ~ aElement0(sK18(xR))
| aElement0(sK8(sK18(xR),sK17(xR)))
| sP4(xR) ),
inference(subsumption_resolution,[],[f370,f127]) ).
fof(f370,plain,
( ~ aElement0(sK17(xR))
| ~ aElement0(sK18(xR))
| aElement0(sK8(sK18(xR),sK17(xR)))
| sP4(xR) ),
inference(resolution,[],[f355,f129]) ).
fof(f379,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aElement0(sK8(X0,sK21(X0,xR,X1)))
| aReductOfIn0(X0,X1,xR)
| ~ sP6(X0,xR,X1) ),
inference(subsumption_resolution,[],[f371,f140]) ).
fof(f371,plain,
! [X0,X1] :
( ~ aElement0(sK21(X0,xR,X1))
| ~ aElement0(X0)
| aElement0(sK8(X0,sK21(X0,xR,X1)))
| aReductOfIn0(X0,X1,xR)
| ~ sP6(X0,xR,X1) ),
inference(resolution,[],[f355,f142]) ).
fof(f376,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(sK8(sK18(xR),X0))
| ~ aReductOfIn0(sK17(xR),X0,xR)
| sP4(xR) ),
inference(subsumption_resolution,[],[f375,f128]) ).
fof(f375,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK18(xR))
| aElement0(sK8(sK18(xR),X0))
| ~ aReductOfIn0(sK17(xR),X0,xR)
| sP4(xR) ),
inference(subsumption_resolution,[],[f372,f94]) ).
fof(f372,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK18(xR))
| aElement0(sK8(sK18(xR),X0))
| ~ aRewritingSystem0(xR)
| ~ aReductOfIn0(sK17(xR),X0,xR)
| sP4(xR) ),
inference(duplicate_literal_removal,[],[f367]) ).
fof(f367,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElement0(sK18(xR))
| aElement0(sK8(sK18(xR),X0))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ aReductOfIn0(sK17(xR),X0,xR)
| sP4(xR) ),
inference(resolution,[],[f355,f203]) ).
fof(f355,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sK8(X0,X1)) ),
inference(subsumption_resolution,[],[f345,f94]) ).
fof(f345,plain,
! [X0,X1] :
( aElement0(sK8(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f344]) ).
fof(f344,plain,
! [X0,X1] :
( aElement0(sK8(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1) ),
inference(resolution,[],[f336,f148]) ).
fof(f354,plain,
! [X0] :
( aElement0(sK8(sK19(xR,X0),X0))
| ~ aElement0(X0)
| ~ aElement0(sK19(xR,X0)) ),
inference(subsumption_resolution,[],[f353,f96]) ).
fof(f353,plain,
! [X0] :
( aElement0(sK8(sK19(xR,X0),X0))
| ~ aElement0(X0)
| ~ aElement0(sK19(xR,X0))
| ~ isTerminating0(xR) ),
inference(subsumption_resolution,[],[f346,f94]) ).
fof(f346,plain,
! [X0] :
( aElement0(sK8(sK19(xR,X0),X0))
| ~ aElement0(X0)
| ~ aElement0(sK19(xR,X0))
| ~ aRewritingSystem0(xR)
| ~ isTerminating0(xR) ),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f343,plain,
! [X0] :
( aElement0(sK8(sK19(xR,X0),X0))
| ~ aElement0(X0)
| ~ aElement0(sK19(xR,X0))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ isTerminating0(xR) ),
inference(resolution,[],[f336,f164]) ).
fof(f365,plain,
( aElement0(sK8(sK11(xR),sK9(xR)))
| spl22_1 ),
inference(subsumption_resolution,[],[f351,f358]) ).
fof(f358,plain,
( ~ sP0(xR)
| spl22_1 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl22_1
<=> sP0(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f349,plain,
( aElement0(sK8(sK10(xR),sK9(xR)))
| sP0(xR) ),
inference(subsumption_resolution,[],[f348,f106]) ).
fof(f348,plain,
( aElement0(sK8(sK10(xR),sK9(xR)))
| ~ aElement0(sK10(xR))
| sP0(xR) ),
inference(subsumption_resolution,[],[f340,f105]) ).
fof(f340,plain,
( aElement0(sK8(sK10(xR),sK9(xR)))
| ~ aElement0(sK9(xR))
| ~ aElement0(sK10(xR))
| sP0(xR) ),
inference(resolution,[],[f336,f108]) ).
fof(f352,plain,
! [X0] :
( aElement0(sK8(X0,X0))
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f347,f94]) ).
fof(f347,plain,
! [X0] :
( aElement0(sK8(X0,X0))
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f342,plain,
! [X0] :
( aElement0(sK8(X0,X0))
| ~ aElement0(X0)
| ~ aElement0(X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f336,f152]) ).
fof(f336,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,X0)
| aElement0(sK8(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f331,f94]) ).
fof(f331,plain,
! [X0,X1] :
( aElement0(sK8(X0,X1))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f326]) ).
fof(f326,plain,
! [X0,X1] :
( aElement0(sK8(X0,X1))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f97,f152]) ).
fof(f339,plain,
! [X2,X0,X1] :
( aElement0(sK8(X0,X1))
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) ),
inference(subsumption_resolution,[],[f329,f94]) ).
fof(f329,plain,
! [X2,X0,X1] :
( aElement0(sK8(X0,X1))
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aRewritingSystem0(xR) ),
inference(duplicate_literal_removal,[],[f328]) ).
fof(f328,plain,
! [X2,X0,X1] :
( aElement0(sK8(X0,X1))
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X2) ),
inference(resolution,[],[f97,f148]) ).
fof(f338,plain,
! [X0,X1] :
( aElement0(sK8(X0,sK19(xR,X1)))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(sK19(xR,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(subsumption_resolution,[],[f337,f96]) ).
fof(f337,plain,
! [X0,X1] :
( aElement0(sK8(X0,sK19(xR,X1)))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(sK19(xR,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ isTerminating0(xR) ),
inference(subsumption_resolution,[],[f330,f94]) ).
fof(f330,plain,
! [X0,X1] :
( aElement0(sK8(X0,sK19(xR,X1)))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(sK19(xR,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR)
| ~ isTerminating0(xR) ),
inference(duplicate_literal_removal,[],[f327]) ).
fof(f327,plain,
! [X0,X1] :
( aElement0(sK8(X0,sK19(xR,X1)))
| ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ aElement0(sK19(xR,X1))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X1)
| ~ isTerminating0(xR) ),
inference(resolution,[],[f97,f164]) ).
fof(f335,plain,
! [X0] :
( aElement0(sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| sP0(xR) ),
inference(subsumption_resolution,[],[f334,f105]) ).
fof(f334,plain,
! [X0] :
( aElement0(sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(subsumption_resolution,[],[f325,f107]) ).
fof(f325,plain,
! [X0] :
( aElement0(sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(sK11(xR))
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(resolution,[],[f97,f109]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| aElement0(sK8(X1,X2))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f323,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ sdtmndtplgtdt0(sK14(X0),X0,sK18(X0))
| ~ aReductOfIn0(sK17(X0),sK15(X0),X0)
| sP4(X0) ),
inference(subsumption_resolution,[],[f322,f119]) ).
fof(f322,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ sdtmndtplgtdt0(sK14(X0),X0,sK18(X0))
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(sK17(X0),sK15(X0),X0)
| sP4(X0) ),
inference(subsumption_resolution,[],[f318,f128]) ).
fof(f318,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ aElement0(sK18(X0))
| ~ sdtmndtplgtdt0(sK14(X0),X0,sK18(X0))
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(sK17(X0),sK15(X0),X0)
| sP4(X0) ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f317,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ aElement0(sK18(X0))
| ~ sdtmndtplgtdt0(sK14(X0),X0,sK18(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(sK17(X0),sK15(X0),X0)
| sP4(X0) ),
inference(resolution,[],[f265,f203]) ).
fof(f321,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(sK14(X0),X0,X1)
| sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ aReductOfIn0(X1,sK15(X0),X0) ),
inference(subsumption_resolution,[],[f320,f119]) ).
fof(f320,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ sdtmndtplgtdt0(sK14(X0),X0,X1)
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(X1,sK15(X0),X0) ),
inference(subsumption_resolution,[],[f319,f133]) ).
fof(f319,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK14(X0),X0,X1)
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(X1,sK15(X0),X0) ),
inference(duplicate_literal_removal,[],[f316]) ).
fof(f316,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK14(X0),X0,X1)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(X1,sK15(X0),X0) ),
inference(resolution,[],[f265,f202]) ).
fof(f265,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(sK15(X1),X1,X0)
| ~ aRewritingSystem0(X1)
| sP2(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(sK14(X1),X1,X0) ),
inference(subsumption_resolution,[],[f259,f118]) ).
fof(f259,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| sP2(X1)
| ~ sdtmndtplgtdt0(sK15(X1),X1,X0)
| ~ sdtmndtplgtdt0(sK14(X1),X1,X0)
| ~ aElement0(sK14(X1)) ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f258,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| sP2(X1)
| ~ sdtmndtplgtdt0(sK15(X1),X1,X0)
| ~ sdtmndtplgtdt0(sK14(X1),X1,X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(sK14(X1)) ),
inference(resolution,[],[f197,f148]) ).
fof(f315,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ aReductOfIn0(sK21(X1,X0,sK11(X0)),sK10(X0),X0)
| aReductOfIn0(X1,sK11(X0),X0)
| ~ sP6(X1,X0,sK11(X0)) ),
inference(resolution,[],[f313,f141]) ).
fof(f313,plain,
! [X0,X1] :
( ~ aReductOfIn0(X1,sK11(X0),X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ aReductOfIn0(X1,sK10(X0),X0) ),
inference(subsumption_resolution,[],[f312,f106]) ).
fof(f312,plain,
! [X0,X1] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ aReductOfIn0(X1,sK11(X0),X0)
| ~ aElement0(sK10(X0))
| ~ aReductOfIn0(X1,sK10(X0),X0) ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f309,plain,
! [X0,X1] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ aReductOfIn0(X1,sK11(X0),X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK10(X0))
| ~ aReductOfIn0(X1,sK10(X0),X0) ),
inference(resolution,[],[f306,f202]) ).
fof(f314,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ aReductOfIn0(sK18(X0),sK11(X0),X0)
| ~ aReductOfIn0(sK17(X0),sK10(X0),X0)
| sP4(X0) ),
inference(subsumption_resolution,[],[f311,f106]) ).
fof(f311,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ aReductOfIn0(sK18(X0),sK11(X0),X0)
| ~ aElement0(sK10(X0))
| ~ aReductOfIn0(sK17(X0),sK10(X0),X0)
| sP4(X0) ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f310,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ aReductOfIn0(sK18(X0),sK11(X0),X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK10(X0))
| ~ aReductOfIn0(sK17(X0),sK10(X0),X0)
| sP4(X0) ),
inference(resolution,[],[f306,f203]) ).
fof(f306,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(sK10(X0),X0,X1)
| sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ aReductOfIn0(X1,sK11(X0),X0) ),
inference(subsumption_resolution,[],[f305,f107]) ).
fof(f305,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ sdtmndtplgtdt0(sK10(X0),X0,X1)
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(X1,sK11(X0),X0) ),
inference(subsumption_resolution,[],[f304,f133]) ).
fof(f304,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK10(X0),X0,X1)
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(X1,sK11(X0),X0) ),
inference(duplicate_literal_removal,[],[f301]) ).
fof(f301,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(sK10(X0),X0,X1)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(X1,sK11(X0),X0) ),
inference(resolution,[],[f249,f202]) ).
fof(f308,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ sdtmndtplgtdt0(sK10(X0),X0,sK18(X0))
| ~ aReductOfIn0(sK17(X0),sK11(X0),X0)
| sP4(X0) ),
inference(subsumption_resolution,[],[f307,f107]) ).
fof(f307,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ sdtmndtplgtdt0(sK10(X0),X0,sK18(X0))
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(sK17(X0),sK11(X0),X0)
| sP4(X0) ),
inference(subsumption_resolution,[],[f303,f128]) ).
fof(f303,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ aElement0(sK18(X0))
| ~ sdtmndtplgtdt0(sK10(X0),X0,sK18(X0))
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(sK17(X0),sK11(X0),X0)
| sP4(X0) ),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ aElement0(sK18(X0))
| ~ sdtmndtplgtdt0(sK10(X0),X0,sK18(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(sK17(X0),sK11(X0),X0)
| sP4(X0) ),
inference(resolution,[],[f249,f203]) ).
fof(f249,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(sK11(X1),X1,X0)
| ~ aRewritingSystem0(X1)
| sP0(X1)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(sK10(X1),X1,X0) ),
inference(subsumption_resolution,[],[f243,f106]) ).
fof(f243,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| sP0(X1)
| ~ sdtmndtplgtdt0(sK11(X1),X1,X0)
| ~ sdtmndtplgtdt0(sK10(X1),X1,X0)
| ~ aElement0(sK10(X1)) ),
inference(duplicate_literal_removal,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| sP0(X1)
| ~ sdtmndtplgtdt0(sK11(X1),X1,X0)
| ~ sdtmndtplgtdt0(sK10(X1),X1,X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(sK10(X1)) ),
inference(resolution,[],[f194,f148]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(sK17(X0),X1,X0)
| sP4(X0)
| sP6(sK18(X0),X0,X2)
| ~ aReductOfIn0(X1,X2,X0) ),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(sK17(X0),X1,X0)
| sP4(X0)
| sP6(sK18(X0),X0,X2)
| ~ aReductOfIn0(X1,X2,X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f203,f144]) ).
fof(f203,plain,
! [X0,X1] :
( sdtmndtplgtdt0(X0,X1,sK18(X1))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(sK17(X1),X0,X1)
| sP4(X1) ),
inference(subsumption_resolution,[],[f200,f128]) ).
fof(f200,plain,
! [X0,X1] :
( sdtmndtplgtdt0(X0,X1,sK18(X1))
| ~ aElement0(sK18(X1))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(sK17(X1),X0,X1)
| sP4(X1) ),
inference(resolution,[],[f168,f183]) ).
fof(f294,plain,
! [X0] :
( sK9(X0) = sK11(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| iLess0(sK11(X0),sK9(X0))
| ~ sP4(X0) ),
inference(subsumption_resolution,[],[f293,f105]) ).
fof(f293,plain,
! [X0] :
( sK9(X0) = sK11(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| iLess0(sK11(X0),sK9(X0))
| ~ aElement0(sK9(X0))
| ~ sP4(X0) ),
inference(subsumption_resolution,[],[f291,f107]) ).
fof(f291,plain,
! [X0] :
( sK9(X0) = sK11(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| iLess0(sK11(X0),sK9(X0))
| ~ aElement0(sK11(X0))
| ~ aElement0(sK9(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f277,f126]) ).
fof(f292,plain,
! [X0,X1] :
( sK9(X0) = sK11(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| sP6(sK11(X0),X0,X1)
| ~ aReductOfIn0(sK9(X0),X1,X0) ),
inference(subsumption_resolution,[],[f290,f105]) ).
fof(f290,plain,
! [X0,X1] :
( sK9(X0) = sK11(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| sP6(sK11(X0),X0,X1)
| ~ aReductOfIn0(sK9(X0),X1,X0)
| ~ aElement0(sK9(X0)) ),
inference(resolution,[],[f277,f144]) ).
fof(f277,plain,
! [X0] :
( sdtmndtplgtdt0(sK9(X0),X0,sK11(X0))
| sK9(X0) = sK11(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f276,f105]) ).
fof(f276,plain,
! [X0] :
( sK9(X0) = sK11(X0)
| sdtmndtplgtdt0(sK9(X0),X0,sK11(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK9(X0))
| sP0(X0) ),
inference(subsumption_resolution,[],[f267,f107]) ).
fof(f267,plain,
! [X0] :
( sK9(X0) = sK11(X0)
| sdtmndtplgtdt0(sK9(X0),X0,sK11(X0))
| ~ aElement0(sK11(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK9(X0))
| sP0(X0) ),
inference(resolution,[],[f146,f109]) ).
fof(f289,plain,
! [X0] :
( sK9(X0) = sK10(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| iLess0(sK10(X0),sK9(X0))
| ~ sP4(X0) ),
inference(subsumption_resolution,[],[f288,f105]) ).
fof(f288,plain,
! [X0] :
( sK9(X0) = sK10(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| iLess0(sK10(X0),sK9(X0))
| ~ aElement0(sK9(X0))
| ~ sP4(X0) ),
inference(subsumption_resolution,[],[f286,f106]) ).
fof(f286,plain,
! [X0] :
( sK9(X0) = sK10(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| iLess0(sK10(X0),sK9(X0))
| ~ aElement0(sK10(X0))
| ~ aElement0(sK9(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f275,f126]) ).
fof(f287,plain,
! [X0,X1] :
( sK9(X0) = sK10(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| sP6(sK10(X0),X0,X1)
| ~ aReductOfIn0(sK9(X0),X1,X0) ),
inference(subsumption_resolution,[],[f285,f105]) ).
fof(f285,plain,
! [X0,X1] :
( sK9(X0) = sK10(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| sP6(sK10(X0),X0,X1)
| ~ aReductOfIn0(sK9(X0),X1,X0)
| ~ aElement0(sK9(X0)) ),
inference(resolution,[],[f275,f144]) ).
fof(f275,plain,
! [X0] :
( sdtmndtplgtdt0(sK9(X0),X0,sK10(X0))
| sK9(X0) = sK10(X0)
| ~ aRewritingSystem0(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f274,f105]) ).
fof(f274,plain,
! [X0] :
( sK9(X0) = sK10(X0)
| sdtmndtplgtdt0(sK9(X0),X0,sK10(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK9(X0))
| sP0(X0) ),
inference(subsumption_resolution,[],[f266,f106]) ).
fof(f266,plain,
! [X0] :
( sK9(X0) = sK10(X0)
| sdtmndtplgtdt0(sK9(X0),X0,sK10(X0))
| ~ aElement0(sK10(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK9(X0))
| sP0(X0) ),
inference(resolution,[],[f146,f108]) ).
fof(f284,plain,
! [X0] :
( ~ aReductOfIn0(sK19(X0,sK14(X0)),sK15(X0),X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| sP2(X0) ),
inference(subsumption_resolution,[],[f283,f119]) ).
fof(f283,plain,
! [X0] :
( sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(sK19(X0,sK14(X0)),sK15(X0),X0) ),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f282,plain,
! [X0] :
( sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(sK19(X0,sK14(X0)),sK15(X0),X0) ),
inference(resolution,[],[f264,f202]) ).
fof(f264,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK15(X0),X0,sK19(X0,sK14(X0)))
| sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(subsumption_resolution,[],[f263,f118]) ).
fof(f263,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ sdtmndtplgtdt0(sK15(X0),X0,sK19(X0,sK14(X0)))
| ~ aElement0(sK14(X0))
| ~ isTerminating0(X0) ),
inference(subsumption_resolution,[],[f260,f162]) ).
fof(f260,plain,
! [X0] :
( ~ aElement0(sK19(X0,sK14(X0)))
| ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ sdtmndtplgtdt0(sK15(X0),X0,sK19(X0,sK14(X0)))
| ~ aElement0(sK14(X0))
| ~ isTerminating0(X0) ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ~ aElement0(sK19(X0,sK14(X0)))
| ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ sdtmndtplgtdt0(sK15(X0),X0,sK19(X0,sK14(X0)))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK14(X0))
| ~ isTerminating0(X0) ),
inference(resolution,[],[f197,f164]) ).
fof(f281,plain,
! [X0] :
( ~ aReductOfIn0(sK14(X0),sK15(X0),X0)
| ~ aRewritingSystem0(X0)
| sP2(X0) ),
inference(subsumption_resolution,[],[f280,f119]) ).
fof(f280,plain,
! [X0] :
( sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(sK14(X0),sK15(X0),X0) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f279,plain,
! [X0] :
( sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK15(X0))
| ~ aReductOfIn0(sK14(X0),sK15(X0),X0) ),
inference(resolution,[],[f262,f202]) ).
fof(f262,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK15(X0),X0,sK14(X0))
| sP2(X0)
| ~ aRewritingSystem0(X0) ),
inference(subsumption_resolution,[],[f261,f118]) ).
fof(f261,plain,
! [X0] :
( ~ aElement0(sK14(X0))
| ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ sdtmndtplgtdt0(sK15(X0),X0,sK14(X0)) ),
inference(duplicate_literal_removal,[],[f256]) ).
fof(f256,plain,
! [X0] :
( ~ aElement0(sK14(X0))
| ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ sdtmndtplgtdt0(sK15(X0),X0,sK14(X0))
| ~ aElement0(sK14(X0))
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f197,f152]) ).
fof(f278,plain,
! [X0,X1] :
( sK19(X1,X0) = X0
| sdtmndtplgtdt0(X0,X1,sK19(X1,X0))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ isTerminating0(X1) ),
inference(subsumption_resolution,[],[f272,f162]) ).
fof(f272,plain,
! [X0,X1] :
( sK19(X1,X0) = X0
| sdtmndtplgtdt0(X0,X1,sK19(X1,X0))
| ~ aElement0(sK19(X1,X0))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ isTerminating0(X1) ),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f269,plain,
! [X0,X1] :
( sK19(X1,X0) = X0
| sdtmndtplgtdt0(X0,X1,sK19(X1,X0))
| ~ aElement0(sK19(X1,X0))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ isTerminating0(X1) ),
inference(resolution,[],[f146,f164]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,X1,X2)
| X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f197,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(sK14(X0),X0,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| sP2(X0)
| ~ sdtmndtplgtdt0(sK15(X0),X0,X1) ),
inference(subsumption_resolution,[],[f188,f119]) ).
fof(f188,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(sK15(X0),X0,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK15(X0))
| sP2(X0)
| ~ sdtmndtasgtdt0(sK14(X0),X0,X1) ),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(sK15(X0),X0,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK15(X0))
| sP2(X0)
| ~ sdtmndtasgtdt0(sK14(X0),X0,X1)
| ~ aElement0(X1) ),
inference(resolution,[],[f148,f122]) ).
fof(f255,plain,
! [X0] :
( ~ aReductOfIn0(sK19(X0,sK10(X0)),sK11(X0),X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f254,f107]) ).
fof(f254,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(sK19(X0,sK10(X0)),sK11(X0),X0) ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f253,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(sK19(X0,sK10(X0)),sK11(X0),X0) ),
inference(resolution,[],[f248,f202]) ).
fof(f248,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK11(X0),X0,sK19(X0,sK10(X0)))
| sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(subsumption_resolution,[],[f247,f106]) ).
fof(f247,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ sdtmndtplgtdt0(sK11(X0),X0,sK19(X0,sK10(X0)))
| ~ aElement0(sK10(X0))
| ~ isTerminating0(X0) ),
inference(subsumption_resolution,[],[f244,f162]) ).
fof(f244,plain,
! [X0] :
( ~ aElement0(sK19(X0,sK10(X0)))
| ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ sdtmndtplgtdt0(sK11(X0),X0,sK19(X0,sK10(X0)))
| ~ aElement0(sK10(X0))
| ~ isTerminating0(X0) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ~ aElement0(sK19(X0,sK10(X0)))
| ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ sdtmndtplgtdt0(sK11(X0),X0,sK19(X0,sK10(X0)))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK10(X0))
| ~ isTerminating0(X0) ),
inference(resolution,[],[f194,f164]) ).
fof(f252,plain,
! [X0] :
( ~ aReductOfIn0(sK10(X0),sK11(X0),X0)
| ~ aRewritingSystem0(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f251,f107]) ).
fof(f251,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(sK10(X0),sK11(X0),X0) ),
inference(duplicate_literal_removal,[],[f250]) ).
fof(f250,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK11(X0))
| ~ aReductOfIn0(sK10(X0),sK11(X0),X0) ),
inference(resolution,[],[f246,f202]) ).
fof(f246,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK11(X0),X0,sK10(X0))
| sP0(X0)
| ~ aRewritingSystem0(X0) ),
inference(subsumption_resolution,[],[f245,f106]) ).
fof(f245,plain,
! [X0] :
( ~ aElement0(sK10(X0))
| ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ sdtmndtplgtdt0(sK11(X0),X0,sK10(X0)) ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ~ aElement0(sK10(X0))
| ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ sdtmndtplgtdt0(sK11(X0),X0,sK10(X0))
| ~ aElement0(sK10(X0))
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f194,f152]) ).
fof(f194,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(sK10(X0),X0,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| sP0(X0)
| ~ sdtmndtplgtdt0(sK11(X0),X0,X1) ),
inference(subsumption_resolution,[],[f190,f107]) ).
fof(f190,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(sK11(X0),X0,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK11(X0))
| sP0(X0)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X1) ),
inference(duplicate_literal_removal,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(sK11(X0),X0,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK11(X0))
| sP0(X0)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X1)
| ~ aElement0(X1) ),
inference(resolution,[],[f148,f110]) ).
fof(f239,plain,
! [X2,X0,X1] :
( aReductOfIn0(X0,X1,X2)
| ~ sP6(X0,X2,X1)
| iLess0(X0,sK21(X0,X2,X1))
| ~ aElement0(X0)
| ~ sP4(X2) ),
inference(subsumption_resolution,[],[f237,f140]) ).
fof(f237,plain,
! [X2,X0,X1] :
( aReductOfIn0(X0,X1,X2)
| ~ sP6(X0,X2,X1)
| iLess0(X0,sK21(X0,X2,X1))
| ~ aElement0(X0)
| ~ aElement0(sK21(X0,X2,X1))
| ~ sP4(X2) ),
inference(resolution,[],[f142,f126]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( aReductOfIn0(X0,X1,X2)
| ~ sP6(X0,X2,X1)
| sP6(X0,X2,X3)
| ~ aReductOfIn0(sK21(X0,X2,X1),X3,X2) ),
inference(subsumption_resolution,[],[f236,f140]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( aReductOfIn0(X0,X1,X2)
| ~ sP6(X0,X2,X1)
| sP6(X0,X2,X3)
| ~ aReductOfIn0(sK21(X0,X2,X1),X3,X2)
| ~ aElement0(sK21(X0,X2,X1)) ),
inference(resolution,[],[f142,f144]) ).
fof(f142,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(sK21(X0,X1,X2),X1,X0)
| aReductOfIn0(X0,X2,X1)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X0)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X0,X2,X1) ) )
& ( ( sdtmndtplgtdt0(sK21(X0,X1,X2),X1,X0)
& aReductOfIn0(sK21(X0,X1,X2),X2,X1)
& aElement0(sK21(X0,X1,X2)) )
| aReductOfIn0(X0,X2,X1)
| ~ sP6(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f88,f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X0)
& aReductOfIn0(X4,X2,X1)
& aElement0(X4) )
=> ( sdtmndtplgtdt0(sK21(X0,X1,X2),X1,X0)
& aReductOfIn0(sK21(X0,X1,X2),X2,X1)
& aElement0(sK21(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X0)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X0,X2,X1) ) )
& ( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X0)
& aReductOfIn0(X4,X2,X1)
& aElement0(X4) )
| aReductOfIn0(X0,X2,X1)
| ~ sP6(X0,X1,X2) ) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X2,X1,X0] :
( ( sP6(X2,X1,X0)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sP6(X2,X1,X0) ) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X2,X1,X0] :
( ( sP6(X2,X1,X0)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sP6(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X2,X1,X0] :
( sP6(X2,X1,X0)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ sdtmndtplgtdt0(sK19(X0,X1),X0,X2)
| ~ aElement0(X1)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X2) ),
inference(subsumption_resolution,[],[f226,f162]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ isTerminating0(X0)
| ~ sdtmndtplgtdt0(sK19(X0,X1),X0,X2)
| ~ aElement0(X2)
| ~ aElement0(sK19(X0,X1)) ),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ isTerminating0(X0)
| ~ sdtmndtplgtdt0(sK19(X0,X1),X0,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK19(X0,X1)) ),
inference(resolution,[],[f222,f167]) ).
fof(f233,plain,
! [X0] :
( sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ sdtmndtplgtdt0(sK14(X0),X0,sK19(X0,sK15(X0)))
| ~ aElement0(sK19(X0,sK15(X0))) ),
inference(subsumption_resolution,[],[f232,f118]) ).
fof(f232,plain,
! [X0] :
( sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ sdtmndtplgtdt0(sK14(X0),X0,sK19(X0,sK15(X0)))
| ~ aElement0(sK19(X0,sK15(X0)))
| ~ aElement0(sK14(X0)) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f231,plain,
! [X0] :
( sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ sdtmndtplgtdt0(sK14(X0),X0,sK19(X0,sK15(X0)))
| ~ aElement0(sK19(X0,sK15(X0)))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK14(X0)) ),
inference(resolution,[],[f181,f148]) ).
fof(f181,plain,
! [X0] :
( ~ sdtmndtasgtdt0(sK14(X0),X0,sK19(X0,sK15(X0)))
| sP2(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(subsumption_resolution,[],[f180,f119]) ).
fof(f180,plain,
! [X0] :
( sP2(X0)
| ~ sdtmndtasgtdt0(sK14(X0),X0,sK19(X0,sK15(X0)))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK15(X0))
| ~ isTerminating0(X0) ),
inference(subsumption_resolution,[],[f177,f162]) ).
fof(f177,plain,
! [X0] :
( sP2(X0)
| ~ sdtmndtasgtdt0(sK14(X0),X0,sK19(X0,sK15(X0)))
| ~ aElement0(sK19(X0,sK15(X0)))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK15(X0))
| ~ isTerminating0(X0) ),
inference(resolution,[],[f122,f164]) ).
fof(f230,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ sdtmndtplgtdt0(sK10(X0),X0,sK19(X0,sK11(X0)))
| ~ aElement0(sK19(X0,sK11(X0))) ),
inference(subsumption_resolution,[],[f229,f106]) ).
fof(f229,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ sdtmndtplgtdt0(sK10(X0),X0,sK19(X0,sK11(X0)))
| ~ aElement0(sK19(X0,sK11(X0)))
| ~ aElement0(sK10(X0)) ),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f228,plain,
! [X0] :
( sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0)
| ~ sdtmndtplgtdt0(sK10(X0),X0,sK19(X0,sK11(X0)))
| ~ aElement0(sK19(X0,sK11(X0)))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK10(X0)) ),
inference(resolution,[],[f175,f148]) ).
fof(f175,plain,
! [X0] :
( ~ sdtmndtasgtdt0(sK10(X0),X0,sK19(X0,sK11(X0)))
| sP0(X0)
| ~ aRewritingSystem0(X0)
| ~ isTerminating0(X0) ),
inference(subsumption_resolution,[],[f174,f107]) ).
fof(f174,plain,
! [X0] :
( sP0(X0)
| ~ sdtmndtasgtdt0(sK10(X0),X0,sK19(X0,sK11(X0)))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK11(X0))
| ~ isTerminating0(X0) ),
inference(subsumption_resolution,[],[f171,f162]) ).
fof(f171,plain,
! [X0] :
( sP0(X0)
| ~ sdtmndtasgtdt0(sK10(X0),X0,sK19(X0,sK11(X0)))
| ~ aElement0(sK19(X0,sK11(X0)))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK11(X0))
| ~ isTerminating0(X0) ),
inference(resolution,[],[f110,f164]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,sK19(X1,X2))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ isTerminating0(X1) ),
inference(subsumption_resolution,[],[f221,f166]) ).
fof(f221,plain,
! [X2,X0,X1] :
( aReductOfIn0(X0,sK19(X1,X2),X1)
| ~ sP6(X0,X1,sK19(X1,X2))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ isTerminating0(X1) ),
inference(resolution,[],[f141,f166]) ).
fof(f219,plain,
! [X2,X0,X1] :
( aReductOfIn0(X0,X1,X2)
| ~ sP6(X0,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| iLess0(sK21(X0,X2,X1),X1)
| ~ sP4(X2) ),
inference(resolution,[],[f141,f212]) ).
fof(f141,plain,
! [X2,X0,X1] :
( aReductOfIn0(sK21(X0,X1,X2),X2,X1)
| aReductOfIn0(X0,X2,X1)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f218,plain,
! [X0] :
( iLess0(sK15(X0),sK13(X0))
| ~ aRewritingSystem0(X0)
| ~ sP4(X0)
| sP2(X0) ),
inference(subsumption_resolution,[],[f216,f117]) ).
fof(f216,plain,
! [X0] :
( ~ aElement0(sK13(X0))
| ~ aRewritingSystem0(X0)
| iLess0(sK15(X0),sK13(X0))
| ~ sP4(X0)
| sP2(X0) ),
inference(resolution,[],[f212,f121]) ).
fof(f217,plain,
! [X0] :
( iLess0(sK14(X0),sK13(X0))
| ~ aRewritingSystem0(X0)
| ~ sP4(X0)
| sP2(X0) ),
inference(subsumption_resolution,[],[f215,f117]) ).
fof(f215,plain,
! [X0] :
( ~ aElement0(sK13(X0))
| ~ aRewritingSystem0(X0)
| iLess0(sK14(X0),sK13(X0))
| ~ sP4(X0)
| sP2(X0) ),
inference(resolution,[],[f212,f120]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X1,X0)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X0)
| iLess0(X2,X1)
| ~ sP4(X0) ),
inference(subsumption_resolution,[],[f210,f133]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X2,X1,X0)
| iLess0(X2,X1)
| ~ aElement0(X2)
| ~ sP4(X0) ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X2,X1,X0)
| iLess0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sP4(X0) ),
inference(resolution,[],[f202,f126]) ).
fof(f214,plain,
! [X0] :
( ~ aReductOfIn0(sK15(X0),sK14(X0),X0)
| ~ aRewritingSystem0(X0)
| sP2(X0) ),
inference(subsumption_resolution,[],[f208,f118]) ).
fof(f208,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(sK14(X0))
| ~ aReductOfIn0(sK15(X0),sK14(X0),X0)
| sP2(X0) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(sK14(X0))
| ~ aReductOfIn0(sK15(X0),sK14(X0),X0)
| ~ aRewritingSystem0(X0)
| sP2(X0) ),
inference(resolution,[],[f202,f196]) ).
fof(f213,plain,
! [X0] :
( ~ aReductOfIn0(sK11(X0),sK10(X0),X0)
| ~ aRewritingSystem0(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f209,f106]) ).
fof(f209,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(sK10(X0))
| ~ aReductOfIn0(sK11(X0),sK10(X0),X0)
| sP0(X0) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(sK10(X0))
| ~ aReductOfIn0(sK11(X0),sK10(X0),X0)
| ~ aRewritingSystem0(X0)
| sP0(X0) ),
inference(resolution,[],[f202,f193]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X2,X1,X0)
| sP6(X2,X0,X3)
| ~ aReductOfIn0(X1,X3,X0) ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aReductOfIn0(X2,X1,X0)
| sP6(X2,X0,X3)
| ~ aReductOfIn0(X1,X3,X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f202,f144]) ).
fof(f202,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X0,X1) ),
inference(subsumption_resolution,[],[f199,f133]) ).
fof(f199,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X0,X1) ),
inference(resolution,[],[f168,f143]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| sdtmndtplgtdt0(X2,X1,X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(resolution,[],[f139,f145]) ).
fof(f167,plain,
! [X2,X0,X1] :
( sP6(X2,X1,X0)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f138,f145]) ).
fof(f183,plain,
! [X0,X1] :
( sP6(sK18(X0),X0,X1)
| ~ aReductOfIn0(sK17(X0),X1,X0)
| sP4(X0) ),
inference(subsumption_resolution,[],[f182,f127]) ).
fof(f182,plain,
! [X0,X1] :
( sP6(sK18(X0),X0,X1)
| ~ aReductOfIn0(sK17(X0),X1,X0)
| ~ aElement0(sK17(X0))
| sP4(X0) ),
inference(resolution,[],[f144,f129]) ).
fof(f196,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK14(X0),X0,sK15(X0))
| ~ aRewritingSystem0(X0)
| sP2(X0) ),
inference(subsumption_resolution,[],[f195,f118]) ).
fof(f195,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK14(X0),X0,sK15(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK14(X0))
| sP2(X0) ),
inference(subsumption_resolution,[],[f189,f119]) ).
fof(f189,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK14(X0),X0,sK15(X0))
| ~ aElement0(sK15(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK14(X0))
| sP2(X0) ),
inference(duplicate_literal_removal,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK14(X0),X0,sK15(X0))
| ~ aElement0(sK15(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK14(X0))
| sP2(X0)
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f148,f179]) ).
fof(f193,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK10(X0),X0,sK11(X0))
| ~ aRewritingSystem0(X0)
| sP0(X0) ),
inference(subsumption_resolution,[],[f192,f106]) ).
fof(f192,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK10(X0),X0,sK11(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK10(X0))
| sP0(X0) ),
inference(subsumption_resolution,[],[f191,f107]) ).
fof(f191,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK10(X0),X0,sK11(X0))
| ~ aElement0(sK11(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK10(X0))
| sP0(X0) ),
inference(duplicate_literal_removal,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK10(X0),X0,sK11(X0))
| ~ aElement0(sK11(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK10(X0))
| sP0(X0)
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f148,f173]) ).
fof(f148,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtplgtdt0(X3,X1,X0)
| sP6(X0,X1,X2)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f90]) ).
fof(f179,plain,
! [X0] :
( ~ sdtmndtasgtdt0(sK14(X0),X0,sK15(X0))
| sP2(X0)
| ~ aRewritingSystem0(X0) ),
inference(subsumption_resolution,[],[f178,f119]) ).
fof(f178,plain,
! [X0] :
( sP2(X0)
| ~ sdtmndtasgtdt0(sK14(X0),X0,sK15(X0))
| ~ aElement0(sK15(X0))
| ~ aRewritingSystem0(X0) ),
inference(duplicate_literal_removal,[],[f176]) ).
fof(f176,plain,
! [X0] :
( sP2(X0)
| ~ sdtmndtasgtdt0(sK14(X0),X0,sK15(X0))
| ~ aElement0(sK15(X0))
| ~ aElement0(sK15(X0))
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f122,f152]) ).
fof(f122,plain,
! [X0,X4] :
( ~ sdtmndtasgtdt0(sK15(X0),X0,X4)
| sP2(X0)
| ~ sdtmndtasgtdt0(sK14(X0),X0,X4)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( sP2(X0)
| ( ! [X4] :
( ~ sdtmndtasgtdt0(sK15(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK14(X0),X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(sK15(X0),sK13(X0),X0)
& aReductOfIn0(sK14(X0),sK13(X0),X0)
& aElement0(sK15(X0))
& aElement0(sK14(X0))
& aElement0(sK13(X0)) ) )
& ( ! [X5,X6,X7] :
( ( sdtmndtasgtdt0(X7,X0,sK16(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK16(X0,X6,X7))
& aElement0(sK16(X0,X6,X7)) )
| ~ aReductOfIn0(X7,X5,X0)
| ~ aReductOfIn0(X6,X5,X0)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP2(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f69,f71,f70]) ).
fof(f70,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(X3,X1,X0)
& aReductOfIn0(X2,X1,X0)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ( ! [X4] :
( ~ sdtmndtasgtdt0(sK15(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK14(X0),X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(sK15(X0),sK13(X0),X0)
& aReductOfIn0(sK14(X0),sK13(X0),X0)
& aElement0(sK15(X0))
& aElement0(sK14(X0))
& aElement0(sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
=> ( sdtmndtasgtdt0(X7,X0,sK16(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK16(X0,X6,X7))
& aElement0(sK16(X0,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ( sP2(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(X3,X1,X0)
& aReductOfIn0(X2,X1,X0)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X5,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
| ~ aReductOfIn0(X7,X5,X0)
| ~ aReductOfIn0(X6,X5,X0)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( sP2(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(X3,X1,X0)
& aReductOfIn0(X2,X1,X0)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ aReductOfIn0(X3,X1,X0)
| ~ aReductOfIn0(X2,X1,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( sP2(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ aReductOfIn0(X3,X1,X0)
| ~ aReductOfIn0(X2,X1,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f173,plain,
! [X0] :
( ~ sdtmndtasgtdt0(sK10(X0),X0,sK11(X0))
| sP0(X0)
| ~ aRewritingSystem0(X0) ),
inference(subsumption_resolution,[],[f172,f107]) ).
fof(f172,plain,
! [X0] :
( sP0(X0)
| ~ sdtmndtasgtdt0(sK10(X0),X0,sK11(X0))
| ~ aElement0(sK11(X0))
| ~ aRewritingSystem0(X0) ),
inference(duplicate_literal_removal,[],[f170]) ).
fof(f170,plain,
! [X0] :
( sP0(X0)
| ~ sdtmndtasgtdt0(sK10(X0),X0,sK11(X0))
| ~ aElement0(sK11(X0))
| ~ aElement0(sK11(X0))
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f110,f152]) ).
fof(f110,plain,
! [X0,X4] :
( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
| sP0(X0)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X4] :
( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
& sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
& aElement0(sK11(X0))
& aElement0(sK10(X0))
& aElement0(sK9(X0)) ) )
& ( ! [X5,X6,X7] :
( ( sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
& aElement0(sK12(X0,X6,X7)) )
| ~ sdtmndtasgtdt0(X5,X0,X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f63,f65,f64]) ).
fof(f64,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ( ! [X4] :
( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
& sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
& aElement0(sK11(X0))
& aElement0(sK10(X0))
& aElement0(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
=> ( sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
& aElement0(sK12(X0,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X5,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
| ~ sdtmndtasgtdt0(X5,X0,X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( sP0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f140,plain,
! [X2,X0,X1] :
( aElement0(sK21(X0,X1,X2))
| aReductOfIn0(X0,X2,X1)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f126,plain,
! [X3,X0,X4] :
( ~ sdtmndtplgtdt0(X3,X0,X4)
| iLess0(X4,X3)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( sP4(X0)
| ( ~ iLess0(sK18(X0),sK17(X0))
& sdtmndtplgtdt0(sK17(X0),X0,sK18(X0))
& aElement0(sK18(X0))
& aElement0(sK17(X0)) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ sP4(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f75,f76]) ).
fof(f76,plain,
! [X0] :
( ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) )
=> ( ~ iLess0(sK18(X0),sK17(X0))
& sdtmndtplgtdt0(sK17(X0),X0,sK18(X0))
& aElement0(sK18(X0))
& aElement0(sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ( sP4(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( sP4(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( sP4(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X0,sK19(X1,X2),X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ isTerminating0(X1) ),
inference(duplicate_literal_removal,[],[f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X0,sK19(X1,X2),X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X2)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(resolution,[],[f136,f132]) ).
fof(f164,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,X1,sK19(X1,X0))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ isTerminating0(X1) ),
inference(duplicate_literal_removal,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,X1,sK19(X1,X0))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aElement0(X0)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(resolution,[],[f135,f132]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| ~ sP6(X2,X1,X0)
| sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ~ sP6(X2,X1,X0) )
& ( sP6(X2,X1,X0)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ sP7(X0,X1,X2) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> sP6(X2,X1,X0) )
| ~ sP7(X0,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ sP7(X0,X1,X2)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| sP6(X2,X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f136,plain,
! [X2,X0,X1,X4] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| aReductOfIn0(sK20(X1,X2),X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f82,f83]) ).
fof(f83,plain,
! [X1,X2] :
( ? [X3] : aReductOfIn0(X3,X2,X1)
=> aReductOfIn0(sK20(X1,X2),X2,X1) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f162,plain,
! [X0,X1] :
( aElement0(sK19(X1,X0))
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sK19(X1,X0))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f132,f134]) ).
fof(f132,plain,
! [X0,X1] :
( aNormalFormOfIn0(sK19(X0,X1),X1,X0)
| ~ aElement0(X1)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( aNormalFormOfIn0(sK19(X0,X1),X1,X0)
| ~ aElement0(X1) )
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f34,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
=> aNormalFormOfIn0(sK19(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X1) )
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X1) )
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( isTerminating0(X0)
& aRewritingSystem0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermNF) ).
fof(f145,plain,
! [X2,X0,X1] :
( sP7(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( sP7(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f40,f57,f56]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).
fof(f152,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X2,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1) ),
inference(duplicate_literal_removal,[],[f151]) ).
fof(f151,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X2,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| X0 != X2
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f143,plain,
! [X2,X0,X1] :
( sP6(X0,X1,X2)
| ~ aReductOfIn0(X0,X2,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f129,plain,
! [X0] :
( sdtmndtplgtdt0(sK17(X0),X0,sK18(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f121,plain,
! [X0] :
( aReductOfIn0(sK15(X0),sK13(X0),X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f120,plain,
! [X0] :
( aReductOfIn0(sK14(X0),sK13(X0),X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f109,plain,
! [X0] :
( sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f108,plain,
! [X0] :
( sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f130,plain,
! [X0] :
( ~ iLess0(sK18(X0),sK17(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f156,plain,
! [X0] :
( ~ sP4(X0)
| isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f125,f131]) ).
fof(f155,plain,
! [X0] :
( sP4(X0)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f124,f131]) ).
fof(f154,plain,
! [X0] :
( sP2(X0)
| ~ isLocallyConfluent0(X0)
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f112,f123]) ).
fof(f153,plain,
! [X0] :
( ~ sP0(X0)
| isConfluent0(X0)
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f101,f111]) ).
fof(f125,plain,
! [X0] :
( ~ sP5(X0)
| ~ sP4(X0)
| isTerminating0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ~ sP4(X0) )
& ( sP4(X0)
| ~ isTerminating0(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( isTerminating0(X0)
<=> sP4(X0) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f124,plain,
! [X0] :
( ~ sP5(X0)
| ~ isTerminating0(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f112,plain,
! [X0] :
( ~ sP3(X0)
| ~ isLocallyConfluent0(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( ( isLocallyConfluent0(X0)
| ~ sP2(X0) )
& ( sP2(X0)
| ~ isLocallyConfluent0(X0) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( isLocallyConfluent0(X0)
<=> sP2(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f101,plain,
! [X0] :
( ~ sP1(X0)
| ~ sP0(X0)
| isConfluent0(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ( isConfluent0(X0)
| ~ sP0(X0) )
& ( sP0(X0)
| ~ isConfluent0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( isConfluent0(X0)
<=> sP0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f128,plain,
! [X0] :
( aElement0(sK18(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f127,plain,
! [X0] :
( aElement0(sK17(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f119,plain,
! [X0] :
( aElement0(sK15(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f118,plain,
! [X0] :
( aElement0(sK14(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f117,plain,
! [X0] :
( aElement0(sK13(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f107,plain,
! [X0] :
( aElement0(sK11(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f106,plain,
! [X0] :
( aElement0(sK10(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f105,plain,
! [X0] :
( aElement0(sK9(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f131,plain,
! [X0] :
( sP5(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( sP5(X0)
| ~ aRewritingSystem0(X0) ),
inference(definition_folding,[],[f32,f54,f53]) ).
fof(f32,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isTerminating0(X0)
<=> ! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(X1,X0,X2)
=> iLess0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermin) ).
fof(f123,plain,
! [X0] :
( sP3(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( sP3(X0)
| ~ aRewritingSystem0(X0) ),
inference(definition_folding,[],[f30,f51,f50]) ).
fof(f30,plain,
! [X0] :
( ( isLocallyConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ aReductOfIn0(X3,X1,X0)
| ~ aReductOfIn0(X2,X1,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( isLocallyConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ aReductOfIn0(X3,X1,X0)
| ~ aReductOfIn0(X2,X1,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isLocallyConfluent0(X0)
<=> ! [X1,X2,X3] :
( ( aReductOfIn0(X3,X1,X0)
& aReductOfIn0(X2,X1,X0)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mWCRDef) ).
fof(f111,plain,
! [X0] :
( sP1(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( sP1(X0)
| ~ aRewritingSystem0(X0) ),
inference(definition_folding,[],[f28,f48,f47]) ).
fof(f28,plain,
! [X0] :
( ( isConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( isConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isConfluent0(X0)
<=> ! [X1,X2,X3] :
( ( sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).
fof(f96,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( isTerminating0(xR)
& isLocallyConfluent0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(f95,plain,
isLocallyConfluent0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f94,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f93,plain,
~ isConfluent0(xR),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
~ isConfluent0(xR),
inference(flattening,[],[f19]) ).
fof(f19,negated_conjecture,
~ isConfluent0(xR),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
isConfluent0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtasgtdt0(X2,X1,X3)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( ( sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X0,X1,X2) )
=> sdtmndtasgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtplgtdt0(X2,X1,X3)
| sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( ( sdtmndtplgtdt0(X2,X1,X3)
& sdtmndtplgtdt0(X0,X1,X2) )
=> sdtmndtplgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCTrans) ).
fof(f137,plain,
! [X2,X0,X1] :
( aReductOfIn0(sK20(X1,X2),X2,X1)
| aNormalFormOfIn0(X2,X0,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f114,plain,
! [X0,X6,X7,X5] :
( aElement0(sK16(X0,X6,X7))
| ~ aReductOfIn0(X7,X5,X0)
| ~ aReductOfIn0(X6,X5,X0)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f115,plain,
! [X0,X6,X7,X5] :
( sdtmndtasgtdt0(X6,X0,sK16(X0,X6,X7))
| ~ aReductOfIn0(X7,X5,X0)
| ~ aReductOfIn0(X6,X5,X0)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f116,plain,
! [X0,X6,X7,X5] :
( sdtmndtasgtdt0(X7,X0,sK16(X0,X6,X7))
| ~ aReductOfIn0(X7,X5,X0)
| ~ aReductOfIn0(X6,X5,X0)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f102,plain,
! [X0,X6,X7,X5] :
( ~ sdtmndtasgtdt0(X5,X0,X7)
| aElement0(sK12(X0,X6,X7))
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f103,plain,
! [X0,X6,X7,X5] :
( sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
| ~ sdtmndtasgtdt0(X5,X0,X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f104,plain,
! [X0,X6,X7,X5] :
( sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7))
| ~ sdtmndtasgtdt0(X5,X0,X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f877,plain,
( ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),sK10(xR)))
| spl22_17 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f875,plain,
( spl22_17
<=> sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),sK10(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
fof(f886,plain,
( spl22_1
| spl22_18 ),
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f885,plain,
( $false
| spl22_1
| spl22_18 ),
inference(subsumption_resolution,[],[f883,f358]) ).
fof(f883,plain,
( sP0(xR)
| spl22_18 ),
inference(resolution,[],[f881,f109]) ).
fof(f881,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK11(xR))
| spl22_18 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f882,plain,
( ~ spl22_17
| ~ spl22_18
| spl22_1
| ~ spl22_7
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f688,f439,f435,f357,f879,f875]) ).
fof(f439,plain,
( spl22_8
<=> aElement0(sK8(sK11(xR),sK10(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f688,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK11(xR))
| ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),sK10(xR)))
| spl22_1
| ~ spl22_7
| ~ spl22_8 ),
inference(subsumption_resolution,[],[f687,f441]) ).
fof(f441,plain,
( aElement0(sK8(sK11(xR),sK10(xR)))
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f687,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK11(xR))
| ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),sK10(xR)))
| ~ aElement0(sK8(sK11(xR),sK10(xR)))
| spl22_1
| ~ spl22_7 ),
inference(subsumption_resolution,[],[f686,f358]) ).
fof(f686,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK11(xR))
| sP0(xR)
| ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),sK10(xR)))
| ~ aElement0(sK8(sK11(xR),sK10(xR)))
| spl22_1
| ~ spl22_7 ),
inference(subsumption_resolution,[],[f666,f436]) ).
fof(f666,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK11(xR))
| ~ aElement0(sK11(xR))
| sP0(xR)
| ~ sdtmndtasgtdt0(sK10(xR),xR,sK8(sK11(xR),sK10(xR)))
| ~ aElement0(sK8(sK11(xR),sK10(xR)))
| spl22_1 ),
inference(resolution,[],[f482,f110]) ).
fof(f482,plain,
( ! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK10(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0) )
| spl22_1 ),
inference(global_subsumption,[],[f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f352,f349,f358,f365,f354,f355,f376,f379,f378,f98,f398,f399,f400,f402,f403,f374,f410,f411,f408,f421,f430,f432,f433,f429,f333,f99,f463,f465,f466,f474,f475,f461,f476,f351,f477,f480,f481,f448]) ).
fof(f481,plain,
( aElement0(sK8(sK11(xR),sK9(xR)))
| spl22_1 ),
inference(global_subsumption,[],[f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f352,f349,f358,f365,f354,f355,f376,f379,f378,f98,f398,f399,f400,f402,f403,f374,f410,f411,f408,f421,f430,f432,f433,f429,f333,f448,f99,f463,f465,f466,f474,f475,f461,f476,f351,f477,f480]) ).
fof(f480,plain,
( aElement0(sK8(sK11(xR),sK9(xR)))
| sK9(xR) = sK11(xR)
| sP0(xR) ),
inference(subsumption_resolution,[],[f479,f107]) ).
fof(f479,plain,
( ~ aElement0(sK11(xR))
| aElement0(sK8(sK11(xR),sK9(xR)))
| sK9(xR) = sK11(xR)
| sP0(xR) ),
inference(subsumption_resolution,[],[f478,f105]) ).
fof(f478,plain,
( ~ aElement0(sK9(xR))
| ~ aElement0(sK11(xR))
| aElement0(sK8(sK11(xR),sK9(xR)))
| sK9(xR) = sK11(xR)
| sP0(xR) ),
inference(subsumption_resolution,[],[f369,f94]) ).
fof(f369,plain,
( ~ aElement0(sK9(xR))
| ~ aElement0(sK11(xR))
| aElement0(sK8(sK11(xR),sK9(xR)))
| sK9(xR) = sK11(xR)
| ~ aRewritingSystem0(xR)
| sP0(xR) ),
inference(resolution,[],[f355,f277]) ).
fof(f477,plain,
( aElement0(sK8(sK11(xR),sK9(xR)))
| spl22_1 ),
inference(global_subsumption,[],[f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f352,f349,f358,f365,f354,f355,f376,f379,f378,f98,f398,f399,f400,f402,f403,f374,f410,f411,f408,f421,f430,f432,f433,f429,f333,f448,f99,f463,f465,f466,f474,f475,f461,f476,f351]) ).
fof(f835,plain,
( ~ spl22_9
| spl22_16 ),
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f834,plain,
( $false
| ~ spl22_9
| spl22_16 ),
inference(subsumption_resolution,[],[f833,f94]) ).
fof(f833,plain,
( ~ aRewritingSystem0(xR)
| ~ spl22_9
| spl22_16 ),
inference(subsumption_resolution,[],[f830,f500]) ).
fof(f500,plain,
( aElement0(sK9(xR))
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl22_9
<=> aElement0(sK9(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f830,plain,
( ~ aElement0(sK9(xR))
| ~ aRewritingSystem0(xR)
| spl22_16 ),
inference(resolution,[],[f828,f152]) ).
fof(f828,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK9(xR))
| spl22_16 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl22_16
<=> sdtmndtasgtdt0(sK9(xR),xR,sK9(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
fof(f829,plain,
( spl22_15
| ~ spl22_16
| spl22_1
| ~ spl22_9
| ~ spl22_10 ),
inference(avatar_split_clause,[],[f680,f503,f499,f357,f826,f822]) ).
fof(f822,plain,
( spl22_15
<=> aElement0(sK8(sK8(sK9(xR),sK10(xR)),sK11(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f503,plain,
( spl22_10
<=> aElement0(sK8(sK9(xR),sK10(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
fof(f680,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK9(xR))
| aElement0(sK8(sK8(sK9(xR),sK10(xR)),sK11(xR)))
| spl22_1
| ~ spl22_9
| ~ spl22_10 ),
inference(subsumption_resolution,[],[f679,f505]) ).
fof(f505,plain,
( aElement0(sK8(sK9(xR),sK10(xR)))
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f679,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK9(xR))
| aElement0(sK8(sK8(sK9(xR),sK10(xR)),sK11(xR)))
| ~ aElement0(sK8(sK9(xR),sK10(xR)))
| spl22_1
| ~ spl22_9 ),
inference(subsumption_resolution,[],[f663,f500]) ).
fof(f663,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK9(xR))
| ~ aElement0(sK9(xR))
| aElement0(sK8(sK8(sK9(xR),sK10(xR)),sK11(xR)))
| ~ aElement0(sK8(sK9(xR),sK10(xR)))
| spl22_1 ),
inference(resolution,[],[f482,f529]) ).
fof(f529,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| aElement0(sK8(X0,sK11(xR)))
| ~ aElement0(X0) )
| spl22_1 ),
inference(subsumption_resolution,[],[f335,f358]) ).
fof(f600,plain,
( ~ spl22_9
| spl22_13 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f599,plain,
( $false
| ~ spl22_9
| spl22_13 ),
inference(subsumption_resolution,[],[f598,f500]) ).
fof(f598,plain,
( ~ aElement0(sK9(xR))
| spl22_13 ),
inference(subsumption_resolution,[],[f597,f94]) ).
fof(f597,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(sK9(xR))
| spl22_13 ),
inference(subsumption_resolution,[],[f596,f96]) ).
fof(f596,plain,
( ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK9(xR))
| spl22_13 ),
inference(resolution,[],[f590,f162]) ).
fof(f590,plain,
( ~ aElement0(sK19(xR,sK9(xR)))
| spl22_13 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f588,plain,
( spl22_13
<=> aElement0(sK19(xR,sK9(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
fof(f595,plain,
( ~ spl22_13
| spl22_14
| spl22_1
| ~ spl22_9 ),
inference(avatar_split_clause,[],[f542,f499,f357,f592,f588]) ).
fof(f592,plain,
( spl22_14
<=> aElement0(sK8(sK19(xR,sK9(xR)),sK11(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
fof(f542,plain,
( aElement0(sK8(sK19(xR,sK9(xR)),sK11(xR)))
| ~ aElement0(sK19(xR,sK9(xR)))
| spl22_1
| ~ spl22_9 ),
inference(subsumption_resolution,[],[f541,f96]) ).
fof(f541,plain,
( aElement0(sK8(sK19(xR,sK9(xR)),sK11(xR)))
| ~ aElement0(sK19(xR,sK9(xR)))
| ~ isTerminating0(xR)
| spl22_1
| ~ spl22_9 ),
inference(subsumption_resolution,[],[f540,f500]) ).
fof(f540,plain,
( aElement0(sK8(sK19(xR,sK9(xR)),sK11(xR)))
| ~ aElement0(sK19(xR,sK9(xR)))
| ~ aElement0(sK9(xR))
| ~ isTerminating0(xR)
| spl22_1 ),
inference(subsumption_resolution,[],[f533,f94]) ).
fof(f533,plain,
( aElement0(sK8(sK19(xR,sK9(xR)),sK11(xR)))
| ~ aElement0(sK19(xR,sK9(xR)))
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK9(xR))
| ~ isTerminating0(xR)
| spl22_1 ),
inference(resolution,[],[f529,f164]) ).
fof(f556,plain,
( spl22_1
| spl22_11 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| spl22_1
| spl22_11 ),
inference(subsumption_resolution,[],[f554,f358]) ).
fof(f554,plain,
( sP0(xR)
| spl22_11 ),
inference(resolution,[],[f548,f106]) ).
fof(f548,plain,
( ~ aElement0(sK10(xR))
| spl22_11 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f546,plain,
( spl22_11
<=> aElement0(sK10(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
fof(f553,plain,
( ~ spl22_11
| spl22_12
| spl22_1 ),
inference(avatar_split_clause,[],[f537,f357,f550,f546]) ).
fof(f550,plain,
( spl22_12
<=> aElement0(sK8(sK10(xR),sK11(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f537,plain,
( aElement0(sK8(sK10(xR),sK11(xR)))
| ~ aElement0(sK10(xR))
| spl22_1 ),
inference(subsumption_resolution,[],[f530,f358]) ).
fof(f530,plain,
( aElement0(sK8(sK10(xR),sK11(xR)))
| ~ aElement0(sK10(xR))
| sP0(xR)
| spl22_1 ),
inference(resolution,[],[f529,f108]) ).
fof(f509,plain,
( spl22_1
| spl22_9 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| spl22_1
| spl22_9 ),
inference(subsumption_resolution,[],[f507,f358]) ).
fof(f507,plain,
( sP0(xR)
| spl22_9 ),
inference(resolution,[],[f501,f105]) ).
fof(f501,plain,
( ~ aElement0(sK9(xR))
| spl22_9 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f506,plain,
( ~ spl22_9
| spl22_10
| spl22_1 ),
inference(avatar_split_clause,[],[f494,f357,f503,f499]) ).
fof(f494,plain,
( aElement0(sK8(sK9(xR),sK10(xR)))
| ~ aElement0(sK9(xR))
| spl22_1 ),
inference(subsumption_resolution,[],[f493,f94]) ).
fof(f493,plain,
( aElement0(sK8(sK9(xR),sK10(xR)))
| ~ aElement0(sK9(xR))
| ~ aRewritingSystem0(xR)
| spl22_1 ),
inference(duplicate_literal_removal,[],[f489]) ).
fof(f489,plain,
( aElement0(sK8(sK9(xR),sK10(xR)))
| ~ aElement0(sK9(xR))
| ~ aElement0(sK9(xR))
| ~ aRewritingSystem0(xR)
| spl22_1 ),
inference(resolution,[],[f486,f152]) ).
fof(f486,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| aElement0(sK8(X0,sK10(xR)))
| ~ aElement0(X0) )
| spl22_1 ),
inference(global_subsumption,[],[f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f352,f349,f358,f365,f354,f355,f376,f379,f378,f98,f398,f399,f400,f402,f403,f374,f410,f411,f408,f421,f430,f432,f433,f429,f99,f463,f465,f466,f474,f475,f461,f476,f351,f477,f480,f481,f448,f482,f484,f485,f333]) ).
fof(f485,plain,
( ! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0) )
| spl22_1 ),
inference(global_subsumption,[],[f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f352,f349,f358,f365,f354,f355,f376,f379,f378,f98,f398,f399,f400,f402,f403,f374,f410,f411,f408,f421,f430,f432,f433,f429,f333,f99,f463,f465,f466,f474,f475,f461,f476,f351,f477,f480,f481,f448,f482,f484]) ).
fof(f484,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| sP0(xR) ),
inference(subsumption_resolution,[],[f483,f105]) ).
fof(f483,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,sK8(X0,sK11(xR)))
| ~ sdtmndtasgtdt0(sK9(xR),xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK9(xR))
| sP0(xR) ),
inference(subsumption_resolution,[],[f391,f107]) ).
fof(f472,plain,
~ spl22_1,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f470,f94]) ).
fof(f470,plain,
( ~ aRewritingSystem0(xR)
| ~ spl22_1 ),
inference(subsumption_resolution,[],[f469,f93]) ).
fof(f469,plain,
( isConfluent0(xR)
| ~ aRewritingSystem0(xR)
| ~ spl22_1 ),
inference(resolution,[],[f359,f153]) ).
fof(f359,plain,
( sP0(xR)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f468,plain,
( spl22_1
| spl22_7 ),
inference(avatar_split_clause,[],[f462,f435,f357]) ).
fof(f462,plain,
( sP0(xR)
| spl22_7 ),
inference(global_subsumption,[],[f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f352,f349,f354,f355,f376,f379,f378,f98,f400,f402,f403,f374,f410,f411,f408,f437,f443,f333,f448,f449,f351,f450,f446,f99,f461]) ).
fof(f446,plain,
( sP0(xR)
| spl22_7 ),
inference(global_subsumption,[],[f99,f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f351,f352,f349,f354,f355,f376,f379,f378,f98,f400,f402,f403,f374,f410,f411,f408,f437,f443,f333]) ).
fof(f450,plain,
( sP0(xR)
| spl22_7 ),
inference(global_subsumption,[],[f99,f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f352,f349,f354,f355,f376,f379,f378,f98,f400,f402,f403,f374,f410,f411,f408,f437,f443,f333,f446,f448,f449,f351]) ).
fof(f449,plain,
( sP0(xR)
| spl22_7 ),
inference(global_subsumption,[],[f99,f104,f103,f102,f116,f115,f114,f137,f149,f150,f93,f94,f95,f96,f111,f123,f131,f105,f106,f107,f117,f118,f119,f127,f128,f101,f112,f124,f125,f153,f154,f155,f156,f130,f108,f109,f120,f121,f129,f143,f152,f133,f134,f145,f132,f162,f135,f136,f138,f139,f164,f166,f126,f140,f110,f173,f122,f179,f144,f148,f193,f196,f183,f167,f168,f202,f211,f213,f214,f212,f217,f218,f141,f219,f222,f175,f230,f181,f233,f227,f142,f238,f239,f194,f246,f252,f248,f255,f197,f146,f278,f262,f281,f264,f284,f275,f287,f289,f277,f292,f294,f203,f300,f249,f308,f306,f314,f313,f315,f265,f321,f323,f97,f335,f338,f339,f336,f351,f352,f349,f354,f355,f376,f379,f378,f98,f400,f402,f403,f374,f410,f411,f408,f437,f443,f333,f446,f448]) ).
fof(f443,plain,
( sP0(xR)
| spl22_7 ),
inference(resolution,[],[f437,f107]) ).
fof(f437,plain,
( ~ aElement0(sK11(xR))
| spl22_7 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f467,plain,
( spl22_1
| spl22_7 ),
inference(avatar_split_clause,[],[f449,f435,f357]) ).
fof(f451,plain,
( spl22_1
| spl22_7 ),
inference(avatar_split_clause,[],[f446,f435,f357]) ).
fof(f445,plain,
( spl22_1
| spl22_7 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f444,plain,
( $false
| spl22_1
| spl22_7 ),
inference(subsumption_resolution,[],[f443,f358]) ).
fof(f442,plain,
( ~ spl22_7
| spl22_8
| spl22_1 ),
inference(avatar_split_clause,[],[f429,f357,f439,f435]) ).
fof(f420,plain,
( spl22_5
| spl22_6 ),
inference(avatar_split_clause,[],[f408,f417,f413]) ).
fof(f413,plain,
( spl22_5
<=> sP2(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f417,plain,
( spl22_6
<=> aElement0(sK8(sK14(xR),sK13(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f388,plain,
( spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f378,f385,f381]) ).
fof(f381,plain,
( spl22_3
<=> sP4(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f385,plain,
( spl22_4
<=> aElement0(sK8(sK18(xR),sK17(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f364,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f349,f361,f357]) ).
fof(f361,plain,
( spl22_2
<=> aElement0(sK8(sK10(xR),sK9(xR))) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 05:28:18 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (12593)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (12597)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.36 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (12596)WARNING: value z3 for option sas not known
% 0.15/0.37 % (12594)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (12595)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (12596)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)
% 0.15/0.37 % (12598)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)
% 0.15/0.37 % (12599)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)
% 0.15/0.37 % (12600)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)
% 0.15/0.37 TRYING [4]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [4]
% 0.20/0.39 TRYING [6]
% 0.20/0.40 TRYING [1]
% 0.20/0.40 % (12596)First to succeed.
% 0.20/0.40 TRYING [2]
% 0.20/0.40 TRYING [3]
% 0.20/0.40 TRYING [5]
% 0.20/0.40 TRYING [4]
% 0.20/0.40 % (12598)Also succeeded, but the first one will report.
% 0.20/0.41 % (12596)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Theorem for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (12596)------------------------------
% 0.20/0.41 % (12596)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.41 % (12596)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (12596)Memory used [KB]: 1255
% 0.20/0.41 % (12596)Time elapsed: 0.037 s
% 0.20/0.41 % (12596)Instructions burned: 60 (million)
% 0.20/0.41 % (12596)------------------------------
% 0.20/0.41 % (12596)------------------------------
% 0.20/0.41 % (12593)Success in time 0.055 s
%------------------------------------------------------------------------------