TSTP Solution File: GRP039-5 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP039-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 11:50:58 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 212 ( 71 unt; 0 def)
% Number of atoms : 407 ( 139 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 260 ( 65 ~; 193 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 124 ( 124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f341,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f313,f318,f321,f324,f326,f328,f330,f338,f340]) ).
fof(f340,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f30,f40,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f85,f89,f79,f96,f88,f99,f103,f104,f100,f106,f92,f108,f110,f114,f78,f117,f124,f125,f120,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f165,f166,f167,f168,f87,f180,f175,f176,f178,f184,f186,f187,f91,f195,f196,f197,f97,f202,f204,f203,f206,f57,f215,f220,f222,f246,f228,f232,f235,f249,f237,f238,f240,f209,f248,f247,f221,f265,f226,f270,f219,f286,f231,f291,f93,f301,f295,f296,f262,f302,f303,f306,f29,f331,f116,f332,f322,f333,f319,f334,f287,f335,f292,f336,f61,f37,f41,f34]) ).
fof(f34,plain,
( ~ subgroup_member(c)
| spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_1
<=> subgroup_member(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f41,plain,
( ~ subgroup_member(a)
| spl0_1 ),
inference(resolution,[],[f40,f4]) ).
fof(f37,plain,
( subgroup_member(a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_2
<=> subgroup_member(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f61,plain,
! [X0] :
( subgroup_member(multiply(d,X0))
| ~ subgroup_member(a)
| ~ subgroup_member(multiply(c,X0)) ),
inference(superposition,[],[f15,f48]) ).
fof(f336,plain,
( subgroup_member(a)
| ~ subgroup_member(inverse(c)) ),
inference(subsumption_resolution,[],[f271,f11]) ).
fof(f271,plain,
( subgroup_member(a)
| ~ subgroup_member(inverse(c))
| ~ subgroup_member(b) ),
inference(superposition,[],[f15,f226]) ).
fof(f292,plain,
( subgroup_member(inverse(c))
| ~ subgroup_member(inverse(d))
| ~ subgroup_member(a) ),
inference(superposition,[],[f15,f231]) ).
fof(f335,plain,
( ~ subgroup_member(c)
| spl0_1 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f30,f34,f40,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f85,f89,f79,f96,f88,f99,f103,f104,f100,f106,f92,f108,f110,f114,f78,f117,f124,f125,f120,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f165,f166,f167,f168,f87,f180,f175,f176,f178,f184,f186,f187,f91,f195,f196,f197,f97,f202,f204,f203,f206,f57,f215,f220,f222,f246,f228,f232,f235,f249,f237,f238,f240,f209,f248,f247,f221,f265,f226,f270,f219,f286,f231,f291,f93,f301,f295,f296,f262,f302,f303,f306,f29,f331,f116,f332,f322,f333,f319,f334,f287]) ).
fof(f287,plain,
( subgroup_member(inverse(a))
| ~ subgroup_member(inverse(b))
| ~ subgroup_member(c) ),
inference(superposition,[],[f15,f219]) ).
fof(f334,plain,
( ~ subgroup_member(c)
| spl0_1 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f30,f34,f40,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f85,f89,f79,f96,f88,f99,f103,f104,f100,f106,f92,f108,f110,f114,f78,f117,f124,f125,f120,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f165,f166,f167,f168,f87,f180,f175,f176,f178,f184,f186,f187,f91,f195,f196,f197,f97,f202,f204,f203,f206,f57,f215,f220,f222,f246,f228,f232,f235,f249,f237,f238,f240,f209,f248,f247,f221,f265,f226,f270,f219,f286,f231,f291,f93,f301,f295,f296,f262,f302,f303,f306,f287,f29,f331,f116,f332,f322,f333,f319]) ).
fof(f319,plain,
( subgroup_member(multiply(b,c))
| ~ subgroup_member(c) ),
inference(forward_demodulation,[],[f261,f262]) ).
fof(f261,plain,
( ~ subgroup_member(c)
| subgroup_member(multiply(c,d)) ),
inference(superposition,[],[f78,f221]) ).
fof(f333,plain,
( ~ subgroup_member(inverse(a))
| spl0_1 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f30,f34,f40,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f85,f89,f79,f96,f88,f99,f103,f104,f100,f106,f92,f108,f110,f114,f78,f117,f124,f125,f120,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f165,f166,f167,f168,f87,f180,f175,f176,f178,f184,f186,f187,f91,f195,f196,f197,f97,f202,f204,f203,f206,f57,f215,f220,f222,f246,f228,f232,f235,f249,f237,f238,f240,f209,f248,f247,f221,f265,f226,f270,f219,f286,f231,f291,f93,f301,f295,f296,f262,f302,f303,f306,f287,f319,f29,f331,f116,f332,f322]) ).
fof(f322,plain,
( subgroup_member(c)
| ~ subgroup_member(inverse(a)) ),
inference(forward_demodulation,[],[f122,f6]) ).
fof(f122,plain,
( ~ subgroup_member(inverse(a))
| subgroup_member(multiply(c,identity)) ),
inference(superposition,[],[f78,f6]) ).
fof(f332,plain,
( ~ subgroup_member(inverse(a))
| spl0_1 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f30,f34,f40,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f85,f89,f79,f96,f88,f99,f103,f104,f100,f106,f92,f108,f110,f114,f78,f117,f124,f125,f120,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f165,f166,f167,f168,f87,f180,f175,f176,f178,f184,f186,f187,f91,f195,f196,f197,f97,f202,f204,f203,f206,f57,f215,f220,f222,f246,f228,f232,f235,f249,f237,f238,f240,f209,f248,f247,f221,f265,f226,f270,f219,f286,f231,f291,f93,f301,f295,f296,f262,f302,f303,f306,f287,f319,f322,f29,f331,f116]) ).
fof(f116,plain,
! [X0] :
( subgroup_member(multiply(c,X0))
| ~ subgroup_member(inverse(a))
| ~ subgroup_member(X0) ),
inference(resolution,[],[f78,f15]) ).
fof(f331,plain,
( ~ subgroup_member(inverse(a))
| spl0_1 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f30,f34,f40,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f85,f89,f79,f96,f88,f99,f103,f104,f100,f106,f92,f108,f110,f114,f78,f117,f124,f125,f120,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f165,f166,f167,f168,f87,f180,f175,f176,f178,f184,f186,f187,f91,f195,f196,f197,f97,f202,f204,f203,f206,f57,f215,f220,f222,f246,f228,f232,f235,f249,f237,f238,f240,f209,f248,f247,f221,f265,f226,f270,f219,f286,f231,f291,f93,f301,f295,f296,f262,f302,f303,f306,f287,f319,f322,f116,f29]) ).
fof(f29,plain,
( subgroup_member(c)
| ~ subgroup_member(inverse(a)) ),
inference(subsumption_resolution,[],[f27,f11]) ).
fof(f27,plain,
( subgroup_member(c)
| ~ subgroup_member(b)
| ~ subgroup_member(inverse(a)) ),
inference(superposition,[],[f15,f12]) ).
fof(f306,plain,
! [X0] : multiply(c,multiply(d,X0)) = multiply(b,multiply(c,X0)),
inference(forward_demodulation,[],[f304,f3]) ).
fof(f304,plain,
! [X0] : multiply(c,multiply(d,X0)) = multiply(multiply(b,c),X0),
inference(superposition,[],[f3,f262]) ).
fof(f303,plain,
d = multiply(inverse(c),multiply(b,c)),
inference(superposition,[],[f57,f262]) ).
fof(f302,plain,
multiply(d,d) = multiply(a,multiply(b,c)),
inference(superposition,[],[f48,f262]) ).
fof(f262,plain,
multiply(c,d) = multiply(b,c),
inference(superposition,[],[f47,f221]) ).
fof(f296,plain,
! [X0] :
( inverse(X0) = multiply(inverse(X0),element_in_O2(inverse(X0),inverse(X0)))
| subgroup_member(X0) ),
inference(resolution,[],[f93,f162]) ).
fof(f295,plain,
( inverse(a) = multiply(inverse(a),element_in_O2(inverse(a),inverse(a)))
| spl0_1 ),
inference(resolution,[],[f93,f40]) ).
fof(f301,plain,
! [X0] :
( multiply(inverse(a),X0) = multiply(inverse(a),multiply(X0,element_in_O2(multiply(inverse(a),X0),multiply(inverse(a),X0))))
| subgroup_member(multiply(c,X0)) ),
inference(forward_demodulation,[],[f294,f3]) ).
fof(f294,plain,
! [X0] :
( multiply(inverse(a),X0) = multiply(multiply(inverse(a),X0),element_in_O2(multiply(inverse(a),X0),multiply(inverse(a),X0)))
| subgroup_member(multiply(c,X0)) ),
inference(resolution,[],[f93,f78]) ).
fof(f93,plain,
! [X0] :
( subgroup_member(X0)
| multiply(X0,element_in_O2(X0,X0)) = X0 ),
inference(factoring,[],[f10]) ).
fof(f291,plain,
! [X0] : multiply(inverse(c),X0) = multiply(inverse(d),multiply(a,X0)),
inference(superposition,[],[f3,f231]) ).
fof(f231,plain,
inverse(c) = multiply(inverse(d),a),
inference(superposition,[],[f57,f63]) ).
fof(f286,plain,
! [X0] : multiply(inverse(a),X0) = multiply(inverse(b),multiply(c,X0)),
inference(superposition,[],[f3,f219]) ).
fof(f219,plain,
inverse(a) = multiply(inverse(b),c),
inference(superposition,[],[f57,f12]) ).
fof(f270,plain,
! [X0] : multiply(a,X0) = multiply(inverse(c),multiply(b,X0)),
inference(superposition,[],[f3,f226]) ).
fof(f226,plain,
a = multiply(inverse(c),b),
inference(superposition,[],[f57,f73]) ).
fof(f265,plain,
! [X0] : multiply(c,X0) = multiply(inverse(a),multiply(d,X0)),
inference(superposition,[],[f3,f221]) ).
fof(f221,plain,
c = multiply(inverse(a),d),
inference(superposition,[],[f57,f13]) ).
fof(f247,plain,
( identity = element_in_O2(c,c)
| spl0_1 ),
inference(forward_demodulation,[],[f230,f2]) ).
fof(f230,plain,
( element_in_O2(c,c) = multiply(inverse(c),c)
| spl0_1 ),
inference(superposition,[],[f57,f178]) ).
fof(f248,plain,
identity = element_in_O2(d,d),
inference(forward_demodulation,[],[f233,f2]) ).
fof(f233,plain,
element_in_O2(d,d) = multiply(inverse(d),d),
inference(superposition,[],[f57,f100]) ).
fof(f209,plain,
( subgroup_member(multiply(a,d))
| spl0_1 ),
inference(subsumption_resolution,[],[f208,f40]) ).
fof(f208,plain,
( subgroup_member(multiply(a,d))
| subgroup_member(inverse(a))
| spl0_1 ),
inference(subsumption_resolution,[],[f207,f14]) ).
fof(f207,plain,
( subgroup_member(multiply(a,d))
| subgroup_member(d)
| subgroup_member(inverse(a))
| spl0_1 ),
inference(superposition,[],[f9,f203]) ).
fof(f240,plain,
! [X0,X1] :
( subgroup_member(X1)
| ~ subgroup_member(inverse(X0))
| ~ subgroup_member(multiply(X0,X1)) ),
inference(superposition,[],[f15,f57]) ).
fof(f238,plain,
! [X0] : multiply(c,multiply(a,X0)) = multiply(b,X0),
inference(superposition,[],[f47,f57]) ).
fof(f237,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(multiply(c,multiply(a,X0))) ),
inference(superposition,[],[f78,f57]) ).
fof(f249,plain,
( identity = element_in_O2(c,c)
| spl0_1 ),
inference(forward_demodulation,[],[f236,f2]) ).
fof(f236,plain,
( element_in_O2(c,c) = multiply(inverse(d),d)
| spl0_1 ),
inference(superposition,[],[f57,f186]) ).
fof(f235,plain,
( element_in_O2(d,c) = multiply(inverse(d),c)
| spl0_1 ),
inference(superposition,[],[f57,f110]) ).
fof(f232,plain,
a = multiply(inverse(d),multiply(a,b)),
inference(superposition,[],[f57,f79]) ).
fof(f228,plain,
( element_in_O2(c,d) = multiply(inverse(c),d)
| spl0_1 ),
inference(superposition,[],[f57,f99]) ).
fof(f246,plain,
a = multiply(inverse(c),b),
inference(forward_demodulation,[],[f227,f153]) ).
fof(f227,plain,
inverse(inverse(a)) = multiply(inverse(c),b),
inference(superposition,[],[f57,f75]) ).
fof(f222,plain,
! [X0] : multiply(c,X0) = multiply(inverse(a),multiply(d,X0)),
inference(superposition,[],[f57,f48]) ).
fof(f220,plain,
! [X0] : multiply(inverse(a),X0) = multiply(inverse(b),multiply(c,X0)),
inference(superposition,[],[f57,f47]) ).
fof(f215,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f57,f3]) ).
fof(f57,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f46,f1]) ).
fof(f46,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f206,plain,
( d = multiply(inverse(a),multiply(a,d))
| spl0_1 ),
inference(superposition,[],[f97,f203]) ).
fof(f203,plain,
( element_in_O2(inverse(a),d) = multiply(a,d)
| spl0_1 ),
inference(superposition,[],[f54,f97]) ).
fof(f204,plain,
( ! [X0] : multiply(d,X0) = multiply(inverse(a),multiply(element_in_O2(inverse(a),d),X0))
| spl0_1 ),
inference(superposition,[],[f3,f97]) ).
fof(f202,plain,
( multiply(c,element_in_O2(inverse(a),d)) = multiply(b,d)
| spl0_1 ),
inference(superposition,[],[f47,f97]) ).
fof(f97,plain,
( d = multiply(inverse(a),element_in_O2(inverse(a),d))
| spl0_1 ),
inference(resolution,[],[f88,f40]) ).
fof(f197,plain,
( ! [X0] :
( inverse(X0) = multiply(c,element_in_O2(c,inverse(X0)))
| subgroup_member(X0) )
| spl0_1 ),
inference(resolution,[],[f91,f162]) ).
fof(f196,plain,
( inverse(a) = multiply(c,element_in_O2(c,inverse(a)))
| spl0_1 ),
inference(resolution,[],[f91,f40]) ).
fof(f195,plain,
( ! [X0] :
( multiply(inverse(a),X0) = multiply(c,element_in_O2(c,multiply(inverse(a),X0)))
| subgroup_member(multiply(c,X0)) )
| spl0_1 ),
inference(resolution,[],[f91,f78]) ).
fof(f91,plain,
( ! [X0] :
( subgroup_member(X0)
| multiply(c,element_in_O2(c,X0)) = X0 )
| spl0_1 ),
inference(resolution,[],[f10,f34]) ).
fof(f187,plain,
( ! [X0] : multiply(d,X0) = multiply(d,multiply(element_in_O2(c,c),X0))
| spl0_1 ),
inference(superposition,[],[f3,f186]) ).
fof(f186,plain,
( d = multiply(d,element_in_O2(c,c))
| spl0_1 ),
inference(forward_demodulation,[],[f183,f13]) ).
fof(f183,plain,
( multiply(a,c) = multiply(d,element_in_O2(c,c))
| spl0_1 ),
inference(superposition,[],[f48,f178]) ).
fof(f184,plain,
( ! [X0] : multiply(c,X0) = multiply(c,multiply(element_in_O2(c,c),X0))
| spl0_1 ),
inference(superposition,[],[f3,f178]) ).
fof(f178,plain,
( c = multiply(c,element_in_O2(c,c))
| spl0_1 ),
inference(resolution,[],[f87,f34]) ).
fof(f176,plain,
( ! [X0] :
( c = multiply(inverse(X0),element_in_O2(inverse(X0),c))
| subgroup_member(X0) )
| spl0_1 ),
inference(resolution,[],[f87,f162]) ).
fof(f175,plain,
( c = multiply(inverse(a),element_in_O2(inverse(a),c))
| spl0_1 ),
inference(resolution,[],[f87,f40]) ).
fof(f180,plain,
( ! [X0] :
( c = multiply(inverse(a),multiply(X0,element_in_O2(multiply(inverse(a),X0),c)))
| subgroup_member(multiply(c,X0)) )
| spl0_1 ),
inference(forward_demodulation,[],[f174,f3]) ).
fof(f174,plain,
( ! [X0] :
( c = multiply(multiply(inverse(a),X0),element_in_O2(multiply(inverse(a),X0),c))
| subgroup_member(multiply(c,X0)) )
| spl0_1 ),
inference(resolution,[],[f87,f78]) ).
fof(f87,plain,
( ! [X0] :
( subgroup_member(X0)
| c = multiply(X0,element_in_O2(X0,c)) )
| spl0_1 ),
inference(resolution,[],[f10,f34]) ).
fof(f168,plain,
! [X0,X1] :
( subgroup_member(X0)
| subgroup_member(X1)
| inverse(X0) = multiply(X1,element_in_O2(X1,inverse(X0))) ),
inference(resolution,[],[f162,f10]) ).
fof(f167,plain,
! [X0,X1] :
( subgroup_member(X0)
| subgroup_member(X1)
| multiply(inverse(X0),element_in_O2(inverse(X0),X1)) = X1 ),
inference(resolution,[],[f162,f10]) ).
fof(f166,plain,
! [X0] :
( subgroup_member(X0)
| d = multiply(inverse(X0),element_in_O2(inverse(X0),d)) ),
inference(resolution,[],[f162,f88]) ).
fof(f165,plain,
! [X0] :
( subgroup_member(X0)
| inverse(X0) = multiply(d,element_in_O2(d,inverse(X0))) ),
inference(resolution,[],[f162,f92]) ).
fof(f162,plain,
! [X0] :
( ~ subgroup_member(inverse(X0))
| subgroup_member(X0) ),
inference(superposition,[],[f4,f153]) ).
fof(f159,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f54,f153]) ).
fof(f153,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f141,f6]) ).
fof(f141,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[],[f54,f7]) ).
fof(f151,plain,
! [X0] : multiply(d,multiply(inverse(c),X0)) = multiply(a,X0),
inference(superposition,[],[f48,f54]) ).
fof(f150,plain,
! [X0] : multiply(b,X0) = multiply(c,multiply(inverse(inverse(a)),X0)),
inference(superposition,[],[f47,f54]) ).
fof(f149,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(multiply(c,multiply(inverse(inverse(a)),X0))) ),
inference(superposition,[],[f78,f54]) ).
fof(f148,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f54]) ).
fof(f146,plain,
! [X0,X1] :
( subgroup_member(X1)
| ~ subgroup_member(X0)
| ~ subgroup_member(multiply(inverse(X0),X1)) ),
inference(superposition,[],[f15,f54]) ).
fof(f144,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f54,f3]) ).
fof(f142,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f54,f54]) ).
fof(f54,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f43,f1]) ).
fof(f43,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f7]) ).
fof(f120,plain,
! [X0,X1] :
( subgroup_member(multiply(c,X0))
| subgroup_member(X1)
| multiply(inverse(a),X0) = multiply(X1,element_in_O2(X1,multiply(inverse(a),X0))) ),
inference(resolution,[],[f78,f10]) ).
fof(f125,plain,
! [X0,X1] :
( multiply(inverse(a),multiply(X0,element_in_O2(multiply(inverse(a),X0),X1))) = X1
| subgroup_member(multiply(c,X0))
| subgroup_member(X1) ),
inference(forward_demodulation,[],[f119,f3]) ).
fof(f119,plain,
! [X0,X1] :
( subgroup_member(multiply(c,X0))
| subgroup_member(X1)
| multiply(multiply(inverse(a),X0),element_in_O2(multiply(inverse(a),X0),X1)) = X1 ),
inference(resolution,[],[f78,f10]) ).
fof(f124,plain,
! [X0] :
( d = multiply(inverse(a),multiply(X0,element_in_O2(multiply(inverse(a),X0),d)))
| subgroup_member(multiply(c,X0)) ),
inference(forward_demodulation,[],[f118,f3]) ).
fof(f118,plain,
! [X0] :
( subgroup_member(multiply(c,X0))
| d = multiply(multiply(inverse(a),X0),element_in_O2(multiply(inverse(a),X0),d)) ),
inference(resolution,[],[f78,f88]) ).
fof(f117,plain,
! [X0] :
( subgroup_member(multiply(c,X0))
| multiply(inverse(a),X0) = multiply(d,element_in_O2(d,multiply(inverse(a),X0))) ),
inference(resolution,[],[f78,f92]) ).
fof(f78,plain,
! [X0] :
( ~ subgroup_member(multiply(inverse(a),X0))
| subgroup_member(multiply(c,X0)) ),
inference(subsumption_resolution,[],[f72,f11]) ).
fof(f72,plain,
! [X0] :
( subgroup_member(multiply(c,X0))
| ~ subgroup_member(b)
| ~ subgroup_member(multiply(inverse(a),X0)) ),
inference(superposition,[],[f15,f47]) ).
fof(f114,plain,
( ! [X0] : multiply(c,X0) = multiply(d,multiply(element_in_O2(d,c),X0))
| spl0_1 ),
inference(superposition,[],[f3,f110]) ).
fof(f110,plain,
( c = multiply(d,element_in_O2(d,c))
| spl0_1 ),
inference(resolution,[],[f92,f34]) ).
fof(f108,plain,
( inverse(a) = multiply(d,element_in_O2(d,inverse(a)))
| spl0_1 ),
inference(resolution,[],[f92,f40]) ).
fof(f92,plain,
! [X0] :
( subgroup_member(X0)
| multiply(d,element_in_O2(d,X0)) = X0 ),
inference(resolution,[],[f10,f14]) ).
fof(f106,plain,
! [X0] : multiply(d,X0) = multiply(d,multiply(element_in_O2(d,d),X0)),
inference(superposition,[],[f3,f100]) ).
fof(f100,plain,
d = multiply(d,element_in_O2(d,d)),
inference(resolution,[],[f88,f14]) ).
fof(f104,plain,
( ! [X0] : multiply(d,X0) = multiply(c,multiply(element_in_O2(c,d),X0))
| spl0_1 ),
inference(superposition,[],[f3,f99]) ).
fof(f103,plain,
( multiply(d,element_in_O2(c,d)) = multiply(a,d)
| spl0_1 ),
inference(superposition,[],[f48,f99]) ).
fof(f99,plain,
( d = multiply(c,element_in_O2(c,d))
| spl0_1 ),
inference(resolution,[],[f88,f34]) ).
fof(f88,plain,
! [X0] :
( subgroup_member(X0)
| d = multiply(X0,element_in_O2(X0,d)) ),
inference(resolution,[],[f10,f14]) ).
fof(f96,plain,
! [X0] : multiply(d,multiply(a,X0)) = multiply(a,multiply(b,X0)),
inference(forward_demodulation,[],[f94,f3]) ).
fof(f94,plain,
! [X0] : multiply(d,multiply(a,X0)) = multiply(multiply(a,b),X0),
inference(superposition,[],[f3,f79]) ).
fof(f79,plain,
multiply(d,a) = multiply(a,b),
inference(superposition,[],[f48,f73]) ).
fof(f89,plain,
( ! [X0] :
( subgroup_member(X0)
| multiply(inverse(a),element_in_O2(inverse(a),X0)) = X0 )
| spl0_1 ),
inference(resolution,[],[f10,f40]) ).
fof(f85,plain,
( ! [X0] :
( subgroup_member(X0)
| inverse(a) = multiply(X0,element_in_O2(X0,inverse(a))) )
| spl0_1 ),
inference(resolution,[],[f10,f40]) ).
fof(f10,axiom,
! [X0,X1] :
( subgroup_member(X1)
| subgroup_member(X0)
| multiply(X0,element_in_O2(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_O2) ).
fof(f83,plain,
! [X0] : multiply(b,X0) = multiply(c,multiply(inverse(inverse(a)),X0)),
inference(superposition,[],[f3,f75]) ).
fof(f82,plain,
multiply(a,b) = multiply(d,inverse(inverse(a))),
inference(superposition,[],[f48,f75]) ).
fof(f75,plain,
b = multiply(c,inverse(inverse(a))),
inference(forward_demodulation,[],[f70,f6]) ).
fof(f70,plain,
multiply(b,identity) = multiply(c,inverse(inverse(a))),
inference(superposition,[],[f47,f7]) ).
fof(f80,plain,
! [X0] : multiply(c,multiply(a,X0)) = multiply(b,X0),
inference(superposition,[],[f3,f73]) ).
fof(f73,plain,
b = multiply(c,a),
inference(forward_demodulation,[],[f68,f6]) ).
fof(f68,plain,
multiply(c,a) = multiply(b,identity),
inference(superposition,[],[f47,f2]) ).
fof(f47,plain,
! [X0] : multiply(b,multiply(inverse(a),X0)) = multiply(c,X0),
inference(superposition,[],[f3,f12]) ).
fof(f66,plain,
! [X0] : multiply(d,multiply(inverse(c),X0)) = multiply(a,X0),
inference(superposition,[],[f3,f63]) ).
fof(f63,plain,
a = multiply(d,inverse(c)),
inference(forward_demodulation,[],[f59,f6]) ).
fof(f59,plain,
multiply(d,inverse(c)) = multiply(a,identity),
inference(superposition,[],[f48,f7]) ).
fof(f48,plain,
! [X0] : multiply(a,multiply(c,X0)) = multiply(d,X0),
inference(superposition,[],[f3,f13]) ).
fof(f53,plain,
! [X2,X0,X1] :
( subgroup_member(multiply(X0,multiply(X1,X2)))
| ~ subgroup_member(multiply(X0,X1))
| ~ subgroup_member(X2) ),
inference(superposition,[],[f15,f3]) ).
fof(f52,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f7,f3]) ).
fof(f50,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f7]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f40,plain,
( ~ subgroup_member(inverse(a))
| spl0_1 ),
inference(subsumption_resolution,[],[f29,f34]) ).
fof(f30,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(c) ),
inference(subsumption_resolution,[],[f28,f14]) ).
fof(f28,plain,
( subgroup_member(d)
| ~ subgroup_member(a)
| ~ subgroup_member(c) ),
inference(superposition,[],[f15,f13]) ).
fof(f15,plain,
! [X0,X1] :
( subgroup_member(multiply(X0,X1))
| ~ subgroup_member(X0)
| ~ subgroup_member(X1) ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2)
| multiply(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiply) ).
fof(f9,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f7,axiom,
! [X0] : identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f16,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f6]) ).
fof(f17,plain,
identity = inverse(identity),
inference(superposition,[],[f6,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f6,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f4,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f12,axiom,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f13,axiom,
multiply(a,c) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f8,axiom,
subgroup_member(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_in_O2) ).
fof(f14,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_in_O2) ).
fof(f11,axiom,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_in_O2) ).
fof(f338,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f30,f34,f40,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f85,f89,f79,f96,f88,f99,f103,f104,f100,f106,f92,f108,f110,f114,f78,f117,f124,f125,f120,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f165,f166,f167,f168,f87,f180,f175,f176,f178,f184,f186,f187,f91,f195,f196,f197,f97,f202,f204,f203,f206,f57,f215,f220,f222,f246,f228,f232,f235,f249,f237,f238,f240,f209,f248,f247,f221,f265,f226,f270,f219,f286,f231,f291,f93,f301,f295,f296,f262,f302,f303,f306,f29,f331,f116,f332,f322,f333,f319,f334,f287,f335,f292,f336,f61,f37,f41]) ).
fof(f330,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(global_subsumption,[],[f33,f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f30,f38,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f79,f96,f88,f98,f101,f100,f106,f92,f109,f112,f78,f117,f124,f125,f120,f86,f135,f132,f136,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f164,f165,f166,f167,f168,f90,f189,f191,f57,f215,f220,f222,f223,f246,f232,f234,f237,f238,f240,f248,f245,f221,f265,f226,f270,f274,f276,f277,f278,f280,f281,f283,f219,f286,f231,f291,f93,f301,f296,f297,f262,f302,f303,f306,f307,f315,f287,f316,f275,f319,f322,f116,f29]) ).
fof(f275,plain,
( ~ subgroup_member(c)
| spl0_2 ),
inference(resolution,[],[f274,f4]) ).
fof(f316,plain,
( subgroup_member(inverse(a))
| ~ subgroup_member(inverse(b))
| spl0_2 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f29,f30,f38,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f79,f96,f88,f98,f101,f100,f106,f92,f109,f112,f78,f117,f124,f125,f120,f86,f135,f132,f136,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f164,f165,f166,f167,f168,f90,f189,f191,f57,f215,f220,f222,f223,f246,f232,f234,f237,f238,f240,f248,f245,f221,f265,f226,f270,f274,f276,f277,f278,f280,f281,f283,f219,f286,f231,f291,f93,f301,f296,f297,f262,f302,f303,f306,f307,f315,f287]) ).
fof(f315,plain,
( subgroup_member(c)
| spl0_2 ),
inference(subsumption_resolution,[],[f314,f38]) ).
fof(f314,plain,
( subgroup_member(c)
| subgroup_member(a)
| spl0_2 ),
inference(subsumption_resolution,[],[f309,f14]) ).
fof(f309,plain,
( subgroup_member(c)
| subgroup_member(d)
| subgroup_member(a)
| spl0_2 ),
inference(superposition,[],[f9,f307]) ).
fof(f307,plain,
( c = element_in_O2(a,d)
| spl0_2 ),
inference(forward_demodulation,[],[f223,f221]) ).
fof(f297,plain,
( inverse(c) = multiply(inverse(c),element_in_O2(inverse(c),inverse(c)))
| spl0_2 ),
inference(resolution,[],[f93,f274]) ).
fof(f283,plain,
( inverse(c) = multiply(d,element_in_O2(d,inverse(c)))
| spl0_2 ),
inference(resolution,[],[f274,f92]) ).
fof(f281,plain,
( inverse(c) = multiply(a,element_in_O2(a,inverse(c)))
| spl0_2 ),
inference(resolution,[],[f274,f90]) ).
fof(f280,plain,
( d = multiply(inverse(c),element_in_O2(inverse(c),d))
| spl0_2 ),
inference(resolution,[],[f274,f88]) ).
fof(f278,plain,
( a = multiply(inverse(c),element_in_O2(inverse(c),a))
| spl0_2 ),
inference(resolution,[],[f274,f86]) ).
fof(f277,plain,
( ! [X0] :
( subgroup_member(X0)
| inverse(c) = multiply(X0,element_in_O2(X0,inverse(c))) )
| spl0_2 ),
inference(resolution,[],[f274,f10]) ).
fof(f276,plain,
( ! [X0] :
( subgroup_member(X0)
| multiply(inverse(c),element_in_O2(inverse(c),X0)) = X0 )
| spl0_2 ),
inference(resolution,[],[f274,f10]) ).
fof(f274,plain,
( ~ subgroup_member(inverse(c))
| spl0_2 ),
inference(subsumption_resolution,[],[f273,f11]) ).
fof(f273,plain,
( ~ subgroup_member(inverse(c))
| ~ subgroup_member(b)
| spl0_2 ),
inference(subsumption_resolution,[],[f271,f38]) ).
fof(f245,plain,
( identity = element_in_O2(a,a)
| spl0_2 ),
inference(forward_demodulation,[],[f224,f2]) ).
fof(f224,plain,
( multiply(inverse(a),a) = element_in_O2(a,a)
| spl0_2 ),
inference(superposition,[],[f57,f132]) ).
fof(f234,plain,
( element_in_O2(d,a) = multiply(inverse(d),a)
| spl0_2 ),
inference(superposition,[],[f57,f109]) ).
fof(f223,plain,
( element_in_O2(a,d) = multiply(inverse(a),d)
| spl0_2 ),
inference(superposition,[],[f57,f98]) ).
fof(f191,plain,
( ! [X0] :
( inverse(X0) = multiply(a,element_in_O2(a,inverse(X0)))
| subgroup_member(X0) )
| spl0_2 ),
inference(resolution,[],[f90,f162]) ).
fof(f189,plain,
( ! [X0] :
( multiply(inverse(a),X0) = multiply(a,element_in_O2(a,multiply(inverse(a),X0)))
| subgroup_member(multiply(c,X0)) )
| spl0_2 ),
inference(resolution,[],[f90,f78]) ).
fof(f90,plain,
( ! [X0] :
( subgroup_member(X0)
| multiply(a,element_in_O2(a,X0)) = X0 )
| spl0_2 ),
inference(resolution,[],[f10,f38]) ).
fof(f164,plain,
( ! [X0] :
( subgroup_member(X0)
| a = multiply(inverse(X0),element_in_O2(inverse(X0),a)) )
| spl0_2 ),
inference(resolution,[],[f162,f86]) ).
fof(f136,plain,
( ! [X0] : multiply(a,X0) = multiply(a,multiply(element_in_O2(a,a),X0))
| spl0_2 ),
inference(superposition,[],[f3,f132]) ).
fof(f132,plain,
( a = multiply(a,element_in_O2(a,a))
| spl0_2 ),
inference(resolution,[],[f86,f38]) ).
fof(f135,plain,
( ! [X0] :
( a = multiply(inverse(a),multiply(X0,element_in_O2(multiply(inverse(a),X0),a)))
| subgroup_member(multiply(c,X0)) )
| spl0_2 ),
inference(forward_demodulation,[],[f130,f3]) ).
fof(f130,plain,
( ! [X0] :
( a = multiply(multiply(inverse(a),X0),element_in_O2(multiply(inverse(a),X0),a))
| subgroup_member(multiply(c,X0)) )
| spl0_2 ),
inference(resolution,[],[f86,f78]) ).
fof(f86,plain,
( ! [X0] :
( subgroup_member(X0)
| a = multiply(X0,element_in_O2(X0,a)) )
| spl0_2 ),
inference(resolution,[],[f10,f38]) ).
fof(f112,plain,
( ! [X0] : multiply(a,X0) = multiply(d,multiply(element_in_O2(d,a),X0))
| spl0_2 ),
inference(superposition,[],[f3,f109]) ).
fof(f109,plain,
( a = multiply(d,element_in_O2(d,a))
| spl0_2 ),
inference(resolution,[],[f92,f38]) ).
fof(f101,plain,
( ! [X0] : multiply(d,X0) = multiply(a,multiply(element_in_O2(a,d),X0))
| spl0_2 ),
inference(superposition,[],[f3,f98]) ).
fof(f98,plain,
( d = multiply(a,element_in_O2(a,d))
| spl0_2 ),
inference(resolution,[],[f88,f38]) ).
fof(f38,plain,
( ~ subgroup_member(a)
| spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f33,plain,
( subgroup_member(c)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f328,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| spl0_2 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f30,f38,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f79,f96,f88,f98,f101,f100,f106,f92,f109,f112,f78,f117,f124,f125,f120,f86,f135,f132,f136,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f164,f165,f166,f167,f168,f90,f189,f191,f57,f215,f220,f222,f223,f246,f232,f234,f237,f238,f240,f248,f245,f221,f265,f226,f270,f274,f276,f277,f278,f280,f281,f283,f219,f286,f231,f291,f93,f301,f296,f297,f262,f302,f303,f306,f307,f315,f287,f316,f275,f319,f322,f116,f29]) ).
fof(f326,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f325,plain,
( $false
| spl0_2 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f29,f30,f38,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f79,f96,f88,f98,f101,f100,f106,f92,f109,f112,f78,f117,f124,f125,f120,f86,f135,f132,f136,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f164,f165,f166,f167,f168,f90,f189,f191,f57,f215,f220,f222,f223,f246,f232,f234,f237,f238,f240,f248,f245,f221,f265,f226,f270,f274,f276,f277,f278,f280,f281,f283,f219,f286,f231,f291,f93,f301,f296,f297,f262,f302,f303,f306,f307,f315,f287,f316,f275,f319,f322,f116]) ).
fof(f324,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| spl0_2 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f29,f30,f38,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f79,f96,f88,f98,f101,f100,f106,f92,f109,f112,f78,f117,f124,f125,f120,f86,f135,f132,f136,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f164,f165,f166,f167,f168,f90,f189,f191,f57,f215,f220,f222,f223,f246,f232,f234,f237,f238,f240,f248,f245,f221,f265,f226,f270,f274,f276,f277,f278,f280,f281,f283,f219,f286,f231,f291,f93,f301,f296,f297,f262,f302,f303,f306,f307,f315,f287,f316,f275,f319,f322]) ).
fof(f321,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| spl0_2 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f29,f30,f38,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f79,f96,f88,f98,f101,f100,f106,f92,f109,f112,f78,f117,f124,f125,f120,f86,f135,f132,f136,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f164,f165,f166,f167,f168,f90,f189,f191,f57,f215,f220,f222,f223,f246,f232,f234,f237,f238,f240,f248,f245,f221,f265,f226,f270,f274,f276,f277,f278,f280,f281,f283,f219,f286,f231,f291,f93,f301,f296,f297,f262,f302,f303,f306,f307,f315,f287,f316,f275,f319]) ).
fof(f318,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f317,plain,
( $false
| spl0_2 ),
inference(global_subsumption,[],[f11,f14,f8,f13,f12,f1,f4,f6,f2,f17,f16,f7,f9,f15,f29,f30,f38,f3,f50,f52,f53,f48,f63,f66,f47,f73,f80,f75,f82,f83,f10,f79,f96,f88,f98,f101,f100,f106,f92,f109,f112,f78,f117,f124,f125,f120,f86,f135,f132,f136,f54,f142,f144,f146,f148,f149,f150,f151,f153,f159,f162,f164,f165,f166,f167,f168,f90,f189,f191,f57,f215,f220,f222,f223,f246,f232,f234,f237,f238,f240,f248,f245,f221,f265,f226,f270,f274,f276,f277,f278,f280,f281,f283,f219,f286,f231,f291,f93,f301,f296,f297,f262,f302,f303,f306,f307,f315,f287,f316,f275]) ).
fof(f313,plain,
( spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f311,f38]) ).
fof(f311,plain,
( subgroup_member(a)
| spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f310,f14]) ).
fof(f310,plain,
( subgroup_member(d)
| subgroup_member(a)
| spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f309,f34]) ).
fof(f39,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f30,f36,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP039-5 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:56:17 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (10244)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (10247)WARNING: value z3 for option sas not known
% 0.14/0.38 % (10248)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (10250)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (10251)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (10245)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (10247)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (10246)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (10249)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 % (10247)First to succeed.
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (10250)Also succeeded, but the first one will report.
% 0.14/0.39 % (10247)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (10247)------------------------------
% 0.14/0.40 % (10247)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40 % (10247)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (10247)Memory used [KB]: 969
% 0.14/0.40 % (10247)Time elapsed: 0.018 s
% 0.14/0.40 % (10247)Instructions burned: 24 (million)
% 0.14/0.40 % (10247)------------------------------
% 0.14/0.40 % (10247)------------------------------
% 0.14/0.40 % (10244)Success in time 0.022 s
%------------------------------------------------------------------------------