TSTP Solution File: GRP268-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP268-1 : TPTP v8.2.0. Released v2.5.0.
% 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 : Mon May 20 21:19:46 EDT 2024
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 33
% Syntax : Number of formulae : 657 ( 19 unt; 0 def)
% Number of atoms : 1914 ( 601 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2219 ( 962 ~;1249 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 162 ( 162 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1243,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f78,f315,f337,f342,f346,f350,f451,f643,f663,f668,f671,f675,f679,f690,f701,f716,f748,f779,f824,f830,f832,f834,f836,f838,f841,f844,f846,f849,f853,f856,f859,f861,f931,f1004,f1007,f1010,f1015,f1044,f1049,f1053,f1063,f1065,f1067,f1069,f1071,f1073,f1075,f1077,f1079,f1081,f1086,f1088,f1090,f1092,f1094,f1096,f1098,f1100,f1102,f1104,f1106,f1108,f1110,f1112,f1114,f1116,f1118,f1120,f1122,f1124,f1126,f1128,f1130,f1132,f1134,f1136,f1138,f1140,f1142,f1144,f1146,f1148,f1150,f1152,f1154,f1242]) ).
fof(f1242,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1241]) ).
fof(f1241,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1240,f34]) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_2
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1240,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f928,f546]) ).
fof(f546,plain,
( sk_c1 = inverse(sk_c8)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f543,f392]) ).
fof(f392,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_2 ),
inference(superposition,[],[f217,f224]) ).
fof(f224,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_2 ),
inference(superposition,[],[f55,f36]) ).
fof(f36,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f34]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f55,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f46,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f46,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f217,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_2 ),
inference(superposition,[],[f55,f58]) ).
fof(f58,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f48,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f36]) ).
fof(f543,plain,
( multiply(sk_c1,identity) = inverse(sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f393,f528]) ).
fof(f528,plain,
( identity = multiply(sk_c8,inverse(sk_c8))
| ~ spl0_2 ),
inference(superposition,[],[f503,f2]) ).
fof(f503,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
| ~ spl0_2 ),
inference(superposition,[],[f383,f393]) ).
fof(f383,plain,
( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f382,f1]) ).
fof(f382,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f367]) ).
fof(f367,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f55,f224]) ).
fof(f393,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f217,f55]) ).
fof(f928,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f923]) ).
fof(f923,plain,
( identity != identity
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f883,f2]) ).
fof(f883,plain,
( ! [X7] :
( identity != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f77,f450]) ).
fof(f450,plain,
( identity = sk_c7
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f448,plain,
( spl0_8
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f77,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_6
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1154,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1153,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f37,f38,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f188,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286,f172,f154,f153,f152,f274,f39,f85,f29]) ).
fof(f29,plain,
( sk_c8 != inverse(sk_c5)
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_1
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f85,plain,
( sk_c7 = sk_c6
| spl0_1 ),
inference(forward_demodulation,[],[f83,f43]) ).
fof(f83,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| spl0_1 ),
inference(superposition,[],[f60,f44]) ).
fof(f39,plain,
( sk_c6 = inverse(sk_c3)
| spl0_1 ),
inference(subsumption_resolution,[],[f23,f29]) ).
fof(f274,plain,
( identity = sk_c4
| spl0_1 ),
inference(forward_demodulation,[],[f273,f2]) ).
fof(f273,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c7)
| spl0_1 ),
inference(forward_demodulation,[],[f236,f85]) ).
fof(f236,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c7)
| spl0_1 ),
inference(superposition,[],[f55,f43]) ).
fof(f152,plain,
( identity = sk_c2
| spl0_1 ),
inference(superposition,[],[f144,f87]) ).
fof(f153,plain,
( sk_c7 = sk_c4
| spl0_1 ),
inference(superposition,[],[f144,f90]) ).
fof(f154,plain,
( identity = sk_c3
| spl0_1 ),
inference(superposition,[],[f144,f88]) ).
fof(f172,plain,
( sk_c7 = inverse(identity)
| spl0_1 ),
inference(forward_demodulation,[],[f163,f85]) ).
fof(f163,plain,
( sk_c6 = inverse(identity)
| spl0_1 ),
inference(superposition,[],[f37,f152]) ).
fof(f286,plain,
( identity = sk_c7
| spl0_1 ),
inference(forward_demodulation,[],[f285,f144]) ).
fof(f285,plain,
( sk_c7 = multiply(sk_c7,identity)
| spl0_1 ),
inference(forward_demodulation,[],[f283,f85]) ).
fof(f283,plain,
( sk_c7 = multiply(sk_c6,identity)
| spl0_1 ),
inference(superposition,[],[f43,f274]) ).
fof(f449,plain,
( identity != sk_c7
| spl0_8 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c7 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f606,plain,
identity = inverse(identity),
inference(superposition,[],[f576,f211]) ).
fof(f609,plain,
identity = inverse(identity),
inference(superposition,[],[f211,f576]) ).
fof(f19,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f388,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f55,f210]) ).
fof(f612,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f608,f1]) ).
fof(f608,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f576]) ).
fof(f607,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f55,f576]) ).
fof(f576,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f55,f211]) ).
fof(f580,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f577,f1]) ).
fof(f577,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f211]) ).
fof(f211,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f55,f2]) ).
fof(f210,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f55,f1]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f284,plain,
( identity = sk_c7
| spl0_1 ),
inference(forward_demodulation,[],[f282,f144]) ).
fof(f282,plain,
( sk_c7 = multiply(sk_c7,identity)
| spl0_1 ),
inference(superposition,[],[f90,f274]) ).
fof(f281,plain,
( identity = sk_c7
| spl0_1 ),
inference(superposition,[],[f153,f274]) ).
fof(f280,plain,
( identity = sk_c7
| spl0_1 ),
inference(superposition,[],[f274,f153]) ).
fof(f278,plain,
( identity = multiply(inverse(sk_c7),identity)
| spl0_1 ),
inference(forward_demodulation,[],[f239,f154]) ).
fof(f239,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| spl0_1 ),
inference(superposition,[],[f55,f88]) ).
fof(f277,plain,
( identity = multiply(inverse(sk_c7),identity)
| spl0_1 ),
inference(forward_demodulation,[],[f276,f154]) ).
fof(f276,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| spl0_1 ),
inference(forward_demodulation,[],[f238,f85]) ).
fof(f238,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| spl0_1 ),
inference(superposition,[],[f55,f40]) ).
fof(f275,plain,
( identity = sk_c4
| spl0_1 ),
inference(forward_demodulation,[],[f237,f2]) ).
fof(f237,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c7)
| spl0_1 ),
inference(superposition,[],[f55,f90]) ).
fof(f272,plain,
( identity = multiply(inverse(sk_c7),identity)
| spl0_1 ),
inference(forward_demodulation,[],[f235,f152]) ).
fof(f235,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| spl0_1 ),
inference(superposition,[],[f55,f87]) ).
fof(f271,plain,
( identity = multiply(inverse(sk_c7),identity)
| spl0_1 ),
inference(forward_demodulation,[],[f270,f152]) ).
fof(f270,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| spl0_1 ),
inference(forward_demodulation,[],[f234,f85]) ).
fof(f234,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| spl0_1 ),
inference(superposition,[],[f55,f38]) ).
fof(f261,plain,
( identity = sk_c7
| spl0_1 ),
inference(forward_demodulation,[],[f229,f2]) ).
fof(f229,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| spl0_1 ),
inference(superposition,[],[f55,f79]) ).
fof(f260,plain,
( identity = sk_c7
| spl0_1 ),
inference(forward_demodulation,[],[f228,f2]) ).
fof(f228,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| spl0_1 ),
inference(superposition,[],[f55,f95]) ).
fof(f223,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f55,f55]) ).
fof(f253,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f252,f1]) ).
fof(f252,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),X0)
| spl0_1 ),
inference(forward_demodulation,[],[f251,f154]) ).
fof(f251,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
| spl0_1 ),
inference(forward_demodulation,[],[f221,f85]) ).
fof(f221,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c6),X0)
| spl0_1 ),
inference(superposition,[],[f55,f60]) ).
fof(f250,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f249,f131]) ).
fof(f249,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
| spl0_1 ),
inference(forward_demodulation,[],[f220,f85]) ).
fof(f220,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c6),X0)
| spl0_1 ),
inference(superposition,[],[f55,f59]) ).
fof(f248,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f247,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sk_c7),X0)
| spl0_1 ),
inference(forward_demodulation,[],[f219,f154]) ).
fof(f219,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
| spl0_1 ),
inference(superposition,[],[f55,f93]) ).
fof(f246,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f218,f131]) ).
fof(f218,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(inverse(sk_c7),X0)
| spl0_1 ),
inference(superposition,[],[f55,f92]) ).
fof(f214,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f55,f3]) ).
fof(f212,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = X0
| spl0_1 ),
inference(superposition,[],[f55,f144]) ).
fof(f188,plain,
( sk_c7 = inverse(identity)
| spl0_1 ),
inference(forward_demodulation,[],[f181,f85]) ).
fof(f181,plain,
( sk_c6 = inverse(identity)
| spl0_1 ),
inference(superposition,[],[f39,f154]) ).
fof(f162,plain,
( identity = sk_c3
| spl0_1 ),
inference(superposition,[],[f88,f144]) ).
fof(f161,plain,
( sk_c7 = sk_c4
| spl0_1 ),
inference(superposition,[],[f90,f144]) ).
fof(f160,plain,
( identity = sk_c2
| spl0_1 ),
inference(superposition,[],[f87,f144]) ).
fof(f158,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| spl0_1 ),
inference(superposition,[],[f93,f144]) ).
fof(f150,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| spl0_1 ),
inference(superposition,[],[f144,f93]) ).
fof(f144,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| spl0_1 ),
inference(superposition,[],[f92,f131]) ).
fof(f148,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f145,f85]) ).
fof(f145,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| spl0_1 ),
inference(superposition,[],[f59,f131]) ).
fof(f131,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| spl0_1 ),
inference(superposition,[],[f128,f92]) ).
fof(f141,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f139,f85]) ).
fof(f139,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f59,f128]) ).
fof(f138,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f92,f128]) ).
fof(f137,plain,
( identity = multiply(sk_c2,identity)
| spl0_1 ),
inference(superposition,[],[f128,f88]) ).
fof(f135,plain,
( identity = multiply(sk_c2,identity)
| spl0_1 ),
inference(superposition,[],[f128,f87]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| spl0_1 ),
inference(superposition,[],[f128,f93]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f50,f85]) ).
fof(f130,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f53,f85]) ).
fof(f129,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| spl0_1 ),
inference(forward_demodulation,[],[f51,f85]) ).
fof(f93,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| spl0_1 ),
inference(superposition,[],[f60,f85]) ).
fof(f92,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| spl0_1 ),
inference(superposition,[],[f59,f85]) ).
fof(f114,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f95]) ).
fof(f95,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl0_1 ),
inference(superposition,[],[f79,f85]) ).
fof(f49,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| spl0_1 ),
inference(superposition,[],[f3,f41]) ).
fof(f105,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f91]) ).
fof(f91,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| spl0_1 ),
inference(superposition,[],[f44,f85]) ).
fof(f103,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f3,f90]) ).
fof(f90,plain,
( sk_c7 = multiply(sk_c7,sk_c4)
| spl0_1 ),
inference(superposition,[],[f43,f85]) ).
fof(f101,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f89]) ).
fof(f102,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl0_1 ),
inference(forward_demodulation,[],[f100,f85]) ).
fof(f100,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| spl0_1 ),
inference(superposition,[],[f59,f89]) ).
fof(f89,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| spl0_1 ),
inference(superposition,[],[f42,f85]) ).
fof(f99,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f98,f1]) ).
fof(f98,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| spl0_1 ),
inference(superposition,[],[f3,f88]) ).
fof(f88,plain,
( identity = multiply(sk_c7,sk_c3)
| spl0_1 ),
inference(superposition,[],[f40,f85]) ).
fof(f97,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f96,f1]) ).
fof(f96,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| spl0_1 ),
inference(superposition,[],[f3,f87]) ).
fof(f87,plain,
( identity = multiply(sk_c7,sk_c2)
| spl0_1 ),
inference(superposition,[],[f38,f85]) ).
fof(f60,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f54,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| spl0_1 ),
inference(superposition,[],[f3,f40]) ).
fof(f82,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f79]) ).
fof(f79,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| spl0_1 ),
inference(superposition,[],[f59,f42]) ).
fof(f59,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f52,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| spl0_1 ),
inference(superposition,[],[f3,f38]) ).
fof(f26,plain,
! [X3,X6,X7,X4] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c7 != inverse(sk_c6)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X7,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6)) ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c7 != inverse(sk_c6)
| sk_c6 != inverse(X4)
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X7,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(sk_c6,X5)
| multiply(X6,sk_c6) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f53,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f3,f43]) ).
fof(f51,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| spl0_1 ),
inference(superposition,[],[f3,f44]) ).
fof(f50,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f42]) ).
fof(f44,plain,
( sk_c4 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f20,f29]) ).
fof(f43,plain,
( sk_c7 = multiply(sk_c6,sk_c4)
| spl0_1 ),
inference(subsumption_resolution,[],[f17,f29]) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f11,f29]) ).
fof(f41,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| spl0_1 ),
inference(subsumption_resolution,[],[f5,f29]) ).
fof(f40,plain,
( identity = multiply(sk_c6,sk_c3)
| spl0_1 ),
inference(superposition,[],[f2,f39]) ).
fof(f38,plain,
( identity = multiply(sk_c6,sk_c2)
| spl0_1 ),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
( sk_c6 = inverse(sk_c2)
| spl0_1 ),
inference(subsumption_resolution,[],[f14,f29]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f1152,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1151]) ).
fof(f1151,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f188,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286,f172,f154,f153,f152,f274,f39,f85]) ).
fof(f1150,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1149,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f188,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286,f172,f154,f153,f152,f274,f39]) ).
fof(f1148,plain,
( spl0_1
| ~ spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1147]) ).
fof(f1147,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_8 ),
inference(global_subsumption,[],[f317,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f188,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286,f172,f154,f153,f152,f274]) ).
fof(f317,plain,
( identity = inverse(identity)
| spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f316,f286]) ).
fof(f316,plain,
( sk_c7 = inverse(sk_c7)
| spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f73,f85]) ).
fof(f73,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_5
<=> sk_c7 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1146,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1145,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f188,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286,f172,f154,f153,f152,f274]) ).
fof(f1144,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1143,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f188,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286,f172,f154,f153,f152]) ).
fof(f1142,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f188,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286,f172,f154,f153]) ).
fof(f1140,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1139]) ).
fof(f1139,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f188,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286,f172,f154]) ).
fof(f1138,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
fof(f1137,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286,f172]) ).
fof(f1136,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
fof(f1135,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449,f286]) ).
fof(f1134,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1133,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10,f449]) ).
fof(f1132,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
fof(f1131,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22,f10]) ).
fof(f1130,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1129]) ).
fof(f1129,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f19,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7,f22]) ).
fof(f1128,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1127]) ).
fof(f1127,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f19,f22,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9,f7]) ).
fof(f1126,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1125,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f7,f19,f22,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4,f9]) ).
fof(f1124,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1123]) ).
fof(f1123,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f7,f19,f22,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21,f4]) ).
fof(f1122,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1121,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18,f21]) ).
fof(f1120,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1119,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f21,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12,f18]) ).
fof(f1118,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f18,f21,f609,f606,f20,f17,f11,f5,f23,f24,f6,f12]) ).
fof(f1116,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1115,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23,f24,f6]) ).
fof(f1114,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1113]) ).
fof(f1113,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23,f24]) ).
fof(f1112,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1111,plain,
( $false
| spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f731,f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23]) ).
fof(f731,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f446,f730]) ).
fof(f730,plain,
( sk_c7 = sk_c2
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f729,f426]) ).
fof(f426,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_5 ),
inference(superposition,[],[f359,f417]) ).
fof(f417,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f375,f2]) ).
fof(f375,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f374,f1]) ).
fof(f374,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f364]) ).
fof(f364,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f55,f360]) ).
fof(f360,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f2,f73]) ).
fof(f359,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f55,f73]) ).
fof(f729,plain,
( sk_c2 = multiply(sk_c7,identity)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f725,f73]) ).
fof(f725,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_7 ),
inference(superposition,[],[f211,f446]) ).
fof(f446,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f444,plain,
( spl0_7
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1110,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| spl0_1
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f730,f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23]) ).
fof(f1108,plain,
( spl0_1
| ~ spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1107,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_8 ),
inference(global_subsumption,[],[f73,f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23]) ).
fof(f1106,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1105]) ).
fof(f1105,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f727,f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23]) ).
fof(f727,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f2,f446]) ).
fof(f1104,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1103]) ).
fof(f1103,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f725,f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23]) ).
fof(f1102,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1101,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f726,f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23]) ).
fof(f726,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_7 ),
inference(superposition,[],[f55,f446]) ).
fof(f1100,plain,
( spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1099,plain,
( $false
| spl0_1
| ~ spl0_7
| spl0_8 ),
inference(global_subsumption,[],[f724,f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23]) ).
fof(f724,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c2)
| ~ spl0_7 ),
inference(superposition,[],[f576,f446]) ).
fof(f1098,plain,
( spl0_1
| ~ spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1097,plain,
( $false
| spl0_1
| ~ spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f70,f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23]) ).
fof(f70,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_4
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1096,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5,f23]) ).
fof(f1094,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1093,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f23,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11,f5]) ).
fof(f1092,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1091,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17,f11]) ).
fof(f1090,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1089,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20,f17]) ).
fof(f1088,plain,
( spl0_1
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1087,plain,
( $false
| spl0_1
| spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f29,f37,f38,f39,f40,f41,f42,f43,f44,f3,f50,f51,f53,f26,f59,f79,f82,f60,f85,f87,f97,f88,f99,f89,f102,f101,f90,f103,f91,f105,f49,f95,f114,f92,f93,f129,f130,f128,f132,f135,f137,f138,f141,f131,f148,f144,f150,f158,f160,f161,f162,f152,f153,f154,f188,f172,f55,f212,f214,f246,f248,f250,f253,f223,f260,f261,f271,f272,f275,f277,f278,f274,f280,f281,f284,f286,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f388,f449,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606,f20]) ).
fof(f1086,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1085]) ).
fof(f1085,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991,f990,f989,f1059,f1058,f1057,f978,f939,f1084]) ).
fof(f1084,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1083,f450]) ).
fof(f1083,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1082,f460]) ).
fof(f1082,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f70,f460]) ).
fof(f939,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f938,f450]) ).
fof(f938,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f937,f460]) ).
fof(f937,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f70,f460]) ).
fof(f978,plain,
( ! [X0] :
( identity != X0
| identity != inverse(inverse(inverse(X0))) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f939,f211]) ).
fof(f1057,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f983]) ).
fof(f983,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f939,f1]) ).
fof(f1058,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f984]) ).
fof(f984,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f939,f2]) ).
fof(f1059,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f985]) ).
fof(f985,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f939,f210]) ).
fof(f989,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f986]) ).
fof(f986,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f939,f576]) ).
fof(f990,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f985]) ).
fof(f991,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f984]) ).
fof(f992,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f983]) ).
fof(f857,plain,
( identity = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f7,f450]) ).
fof(f1039,plain,
( identity = inverse(sk_c3)
| identity = multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f854,f460]) ).
fof(f1035,plain,
( identity = inverse(identity)
| sk_c8 = inverse(sk_c1)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f865,f460]) ).
fof(f868,plain,
( identity = multiply(sk_c1,sk_c8)
| identity = multiply(sk_c5,sk_c8)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f867,f450]) ).
fof(f867,plain,
( identity = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f4,f450]) ).
fof(f1033,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f1032,f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f388,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606]) ).
fof(f1032,plain,
( sk_c4 = multiply(sk_c3,identity)
| identity = inverse(identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1031,f460]) ).
fof(f1031,plain,
( identity = inverse(identity)
| sk_c4 = multiply(sk_c3,sk_c6)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f870,f460]) ).
fof(f1030,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f1029,f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f388,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606]) ).
fof(f1029,plain,
( identity = inverse(identity)
| identity = multiply(identity,sk_c4)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1028,f460]) ).
fof(f1028,plain,
( identity = multiply(identity,sk_c4)
| identity = inverse(sk_c6)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f873,f460]) ).
fof(f1024,plain,
( identity = inverse(identity)
| identity = multiply(sk_c1,sk_c8)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f879,f460]) ).
fof(f1023,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f1022,f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f388,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f609,f606]) ).
fof(f1022,plain,
( identity = inverse(sk_c3)
| identity = inverse(identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1021,f460]) ).
fof(f1021,plain,
( identity = inverse(identity)
| sk_c6 = inverse(sk_c3)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f881,f460]) ).
fof(f895,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f886,f460]) ).
fof(f470,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f463,f450]) ).
fof(f463,plain,
( sk_c7 = inverse(identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f73,f460]) ).
fof(f988,plain,
( ! [X0,X1] :
( identity != multiply(X0,multiply(X1,identity))
| identity != inverse(multiply(X0,X1)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f939,f3]) ).
fof(f460,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f454,f2]) ).
fof(f454,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f364,f450]) ).
fof(f886,plain,
( identity = inverse(sk_c6)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f73,f450]) ).
fof(f881,plain,
( identity = inverse(sk_c6)
| sk_c6 = inverse(sk_c3)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f24,f450]) ).
fof(f879,plain,
( identity = multiply(sk_c1,sk_c8)
| identity = inverse(sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f878,f450]) ).
fof(f878,plain,
( identity = inverse(sk_c6)
| multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f6,f450]) ).
fof(f876,plain,
( identity = multiply(sk_c2,sk_c6)
| identity = inverse(sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f875,f450]) ).
fof(f875,plain,
( identity = inverse(sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f12,f450]) ).
fof(f873,plain,
( identity = multiply(sk_c6,sk_c4)
| identity = inverse(sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f872,f450]) ).
fof(f872,plain,
( identity = inverse(sk_c6)
| sk_c7 = multiply(sk_c6,sk_c4)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f18,f450]) ).
fof(f870,plain,
( identity = inverse(sk_c6)
| sk_c4 = multiply(sk_c3,sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f21,f450]) ).
fof(f865,plain,
( identity = inverse(sk_c6)
| sk_c8 = inverse(sk_c1)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f9,f450]) ).
fof(f851,plain,
( identity = multiply(sk_c5,sk_c8)
| identity = multiply(sk_c2,sk_c6)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f850,f450]) ).
fof(f850,plain,
( identity = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f10,f450]) ).
fof(f854,plain,
( identity = multiply(sk_c5,sk_c8)
| sk_c6 = inverse(sk_c3)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f22,f450]) ).
fof(f384,plain,
( sk_c6 = multiply(inverse(inverse(inverse(sk_c7))),identity)
| ~ spl0_5 ),
inference(superposition,[],[f55,f373]) ).
fof(f386,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f385,f1]) ).
fof(f385,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f373]) ).
fof(f421,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f55,f375]) ).
fof(f474,plain,
( identity = multiply(inverse(inverse(identity)),identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f466,f450]) ).
fof(f466,plain,
( identity = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f373,f460]) ).
fof(f462,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f458,f1]) ).
fof(f458,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = X0
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f419,f450]) ).
fof(f457,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f417,f450]) ).
fof(f461,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f456,f210]) ).
fof(f456,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(identity),X0)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f375,f450]) ).
fof(f455,plain,
( identity = multiply(inverse(inverse(identity)),sk_c6)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f373,f450]) ).
fof(f453,plain,
( identity = multiply(identity,sk_c6)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f360,f450]) ).
fof(f452,plain,
( ! [X0] : multiply(identity,multiply(sk_c6,X0)) = X0
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f359,f450]) ).
fof(f419,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f375,f55]) ).
fof(f418,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_5 ),
inference(superposition,[],[f375,f364]) ).
fof(f430,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f428,f1]) ).
fof(f428,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f417]) ).
fof(f429,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f427,f73]) ).
fof(f427,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_5 ),
inference(superposition,[],[f55,f417]) ).
fof(f424,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f55,f375]) ).
fof(f423,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_5 ),
inference(superposition,[],[f364,f375]) ).
fof(f420,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f2,f375]) ).
fof(f373,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f55,f364]) ).
fof(f377,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_5 ),
inference(superposition,[],[f55,f359]) ).
fof(f366,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f365,f1]) ).
fof(f365,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f360]) ).
fof(f356,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_5 ),
inference(global_subsumption,[],[f9,f7,f14,f1,f2,f8,f3,f26,f55,f211,f214,f223,f73,f210,f19,f16,f10,f4,f22,f21,f351,f20,f18,f352,f17,f13,f12,f353,f11,f6,f354,f5,f24,f355,f23,f15]) ).
fof(f355,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_5 ),
inference(global_subsumption,[],[f9,f7,f23,f14,f15,f1,f2,f8,f3,f26,f55,f211,f214,f223,f73,f210,f19,f16,f10,f4,f22,f21,f351,f20,f18,f352,f17,f13,f12,f353,f11,f6,f354,f5,f24]) ).
fof(f354,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_5 ),
inference(global_subsumption,[],[f9,f7,f23,f14,f5,f15,f24,f1,f2,f8,f3,f26,f55,f211,f214,f223,f73,f210,f19,f16,f10,f4,f22,f21,f351,f20,f18,f352,f17,f13,f12,f353,f11,f6]) ).
fof(f353,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_5 ),
inference(global_subsumption,[],[f9,f7,f23,f14,f11,f5,f15,f24,f6,f1,f2,f8,f3,f26,f55,f211,f214,f223,f73,f210,f19,f16,f10,f4,f22,f21,f351,f20,f18,f352,f17,f13,f12]) ).
fof(f352,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_5 ),
inference(global_subsumption,[],[f9,f7,f23,f14,f11,f17,f5,f15,f24,f13,f12,f6,f1,f2,f8,f3,f26,f55,f211,f214,f223,f73,f210,f19,f16,f10,f4,f22,f21,f351,f20,f18]) ).
fof(f351,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_5 ),
inference(global_subsumption,[],[f9,f7,f23,f14,f20,f11,f17,f5,f15,f24,f13,f12,f18,f6,f1,f2,f8,f3,f26,f55,f211,f214,f223,f73,f210,f19,f16,f10,f4,f22,f21]) ).
fof(f1081,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1080,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f998,f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991,f990,f989,f1059,f1058,f1057,f978,f939]) ).
fof(f998,plain,
( identity != inverse(sk_c5)
| identity != sk_c5
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f980,f964]) ).
fof(f964,plain,
( sk_c5 = inverse(sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f950,f211]) ).
fof(f950,plain,
( sk_c5 = multiply(inverse(inverse(inverse(sk_c8))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f55,f911]) ).
fof(f911,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f55,f361]) ).
fof(f361,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_1 ),
inference(superposition,[],[f55,f358]) ).
fof(f358,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f2,f30]) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f980,plain,
( identity != sk_c5
| identity != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f939,f361]) ).
fof(f1079,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1078]) ).
fof(f1078,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991,f990,f989,f1059,f1058,f1057,f978,f939]) ).
fof(f1077,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1076,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f939,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991,f990,f989,f1059,f1058,f1057,f978]) ).
fof(f1075,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1074]) ).
fof(f1074,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f939,f978,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991,f990,f989,f1059,f1058,f1057]) ).
fof(f1073,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
fof(f1072,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f939,f978,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991,f990,f989,f1059,f1058]) ).
fof(f1071,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1070,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f939,f978,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991,f990,f989,f1059]) ).
fof(f1069,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f939,f978,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991,f990,f989]) ).
fof(f1067,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1066,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f939,f978,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991,f990]) ).
fof(f1065,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1064]) ).
fof(f1064,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f939,f978,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992,f991]) ).
fof(f1063,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1062,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f351,f20,f352,f17,f353,f11,f354,f5,f355,f23,f15,f356,f14,f73,f360,f366,f364,f359,f377,f373,f210,f375,f420,f423,f424,f417,f429,f430,f418,f426,f419,f452,f453,f455,f461,f457,f462,f474,f211,f580,f576,f607,f612,f388,f421,f386,f384,f10,f13,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f854,f851,f865,f870,f873,f876,f879,f881,f886,f460,f939,f978,f988,f609,f606,f470,f895,f1022,f1023,f1024,f1029,f1030,f1032,f1033,f868,f1035,f1039,f857,f992]) ).
fof(f1053,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1051,f30]) ).
fof(f1051,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1019,f964]) ).
fof(f1019,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f923]) ).
fof(f1049,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1048,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1047,f30]) ).
fof(f1047,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1046,f964]) ).
fof(f1046,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1045,f30]) ).
fof(f1045,plain,
( sk_c8 != inverse(inverse(inverse(sk_c5)))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f927,f964]) ).
fof(f927,plain,
( sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f925]) ).
fof(f925,plain,
( identity != identity
| sk_c8 != inverse(inverse(inverse(inverse(sk_c8))))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f883,f576]) ).
fof(f1044,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1043,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1042,f30]) ).
fof(f1042,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f928,f964]) ).
fof(f1015,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
fof(f1014,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1013,f889]) ).
fof(f889,plain,
( identity = inverse(identity)
| spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f866,f460]) ).
fof(f866,plain,
( identity = inverse(sk_c6)
| spl0_2
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f33,f857,f862,f854,f863,f851,f864,f865]) ).
fof(f864,plain,
( identity = multiply(sk_c5,sk_c8)
| spl0_2
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f33,f857,f862,f854,f863,f851]) ).
fof(f863,plain,
( identity = multiply(sk_c5,sk_c8)
| spl0_2
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f851,f33,f857,f862,f854]) ).
fof(f862,plain,
( identity = multiply(sk_c5,sk_c8)
| spl0_2
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f18,f21,f450,f851,f854,f33,f857]) ).
fof(f33,plain,
( sk_c8 != inverse(sk_c1)
| spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f733,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| spl0_2 ),
inference(superposition,[],[f3,f717]) ).
fof(f717,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_2 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f210,f211,f580,f576,f607,f612,f16,f4,f13,f7,f609,f606,f19,f10,f388,f33,f22]) ).
fof(f723,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_2 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f210,f211,f580,f576,f607,f612,f7,f609,f606,f388,f33,f22,f717,f10,f718,f19,f719,f720,f13,f721,f4,f722,f16]) ).
fof(f722,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_2 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f210,f211,f580,f576,f607,f612,f16,f7,f609,f606,f388,f33,f22,f717,f10,f718,f19,f719,f720,f13,f721,f4]) ).
fof(f721,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_2 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f210,f211,f580,f576,f607,f612,f16,f4,f7,f609,f606,f388,f33,f22,f717,f10,f718,f19,f719,f720,f13]) ).
fof(f720,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_2 ),
inference(subsumption_resolution,[],[f7,f33]) ).
fof(f719,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_2 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f210,f211,f580,f576,f607,f612,f16,f4,f13,f7,f609,f606,f388,f33,f22,f717,f10,f718,f19]) ).
fof(f718,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_2 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f210,f211,f580,f576,f607,f612,f16,f4,f13,f7,f609,f606,f19,f388,f33,f22,f717,f10]) ).
fof(f1013,plain,
( identity != inverse(identity)
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1012,f889]) ).
fof(f1012,plain,
( identity != inverse(inverse(identity))
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1011,f889]) ).
fof(f1011,plain,
( identity != inverse(inverse(inverse(identity)))
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f989,f889]) ).
fof(f1010,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1008,f889]) ).
fof(f1008,plain,
( identity != inverse(identity)
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f990,f889]) ).
fof(f1007,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1006,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1005,f889]) ).
fof(f1005,plain,
( identity != inverse(identity)
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f991,f889]) ).
fof(f1004,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f992,f889]) ).
fof(f931,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f930]) ).
fof(f930,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f929,f30]) ).
fof(f929,plain,
( sk_c8 != inverse(sk_c5)
| spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f921]) ).
fof(f921,plain,
( identity != identity
| sk_c8 != inverse(sk_c5)
| spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f883,f862]) ).
fof(f861,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f860,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802,f801,f784,f847,f33]) ).
fof(f847,plain,
( sk_c8 = inverse(sk_c1)
| spl0_5 ),
inference(subsumption_resolution,[],[f9,f74]) ).
fof(f784,plain,
( sk_c6 = inverse(sk_c3)
| spl0_5 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f74,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f13,f16,f4,f7,f19,f22,f24]) ).
fof(f801,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c4)
| spl0_5 ),
inference(superposition,[],[f55,f788]) ).
fof(f802,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| spl0_5 ),
inference(superposition,[],[f3,f788]) ).
fof(f788,plain,
( sk_c4 = multiply(sk_c3,sk_c6)
| spl0_5 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f74,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f13,f16,f4,f7,f19,f22,f24,f784,f6,f785,f12,f786,f18,f787,f21]) ).
fof(f800,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| spl0_5 ),
inference(superposition,[],[f3,f787]) ).
fof(f799,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c7)
| spl0_5 ),
inference(superposition,[],[f55,f787]) ).
fof(f787,plain,
( sk_c7 = multiply(sk_c6,sk_c4)
| spl0_5 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f74,f55,f214,f223,f21,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f13,f16,f4,f7,f19,f22,f24,f784,f6,f785,f12,f786,f18]) ).
fof(f797,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| spl0_5 ),
inference(superposition,[],[f3,f785]) ).
fof(f785,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| spl0_5 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f74,f55,f214,f223,f21,f20,f18,f17,f12,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f13,f16,f4,f7,f19,f22,f24,f784,f6]) ).
fof(f74,plain,
( sk_c7 != inverse(sk_c6)
| spl0_5 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f786,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| spl0_5 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f74,f55,f214,f223,f21,f20,f18,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f13,f16,f4,f7,f19,f22,f24,f784,f6,f785,f12]) ).
fof(f859,plain,
( spl0_2
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f858,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f857,f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f33,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802,f801,f784,f847]) ).
fof(f856,plain,
( spl0_2
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f855]) ).
fof(f855,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f854,f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f33,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802,f801,f784,f847]) ).
fof(f853,plain,
( spl0_2
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f852,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f851,f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f33,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802,f801,f784,f847]) ).
fof(f849,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f848,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f33,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802,f801,f784,f847]) ).
fof(f846,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f845,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f33,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802,f801,f784]) ).
fof(f844,plain,
( spl0_2
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f843,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f842,f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f33,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f784,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802,f801]) ).
fof(f842,plain,
( sk_c8 = multiply(inverse(sk_c1),identity)
| spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f796,f450]) ).
fof(f796,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| spl0_5 ),
inference(superposition,[],[f55,f785]) ).
fof(f841,plain,
( spl0_2
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f840,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f839,f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f33,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f784,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802,f801]) ).
fof(f839,plain,
( identity = multiply(sk_c2,sk_c6)
| spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f786,f450]) ).
fof(f838,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f837]) ).
fof(f837,plain,
( $false
| spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f33,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f784,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802,f801]) ).
fof(f836,plain,
( spl0_2
| spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f835,plain,
( $false
| spl0_2
| spl0_5
| ~ spl0_7 ),
inference(global_subsumption,[],[f727,f9,f1,f2,f8,f3,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f33,f10,f718,f719,f720,f13,f721,f722,f723,f717,f733,f16,f4,f7,f19,f22,f24,f784,f6,f12,f786,f18,f21,f74,f785,f797,f787,f799,f800,f788,f802]) ).
fof(f834,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f36,f3,f58,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f30,f358,f224,f369,f367,f210,f217,f394,f395,f397,f398,f391,f403,f404,f392,f400,f393,f442,f381,f494,f383,f505,f504,f510,f508,f511,f513,f492,f525,f527,f503,f533,f534,f528,f547,f211,f580,f576,f607,f612,f604,f570,f363,f357,f361,f609,f606,f388,f10,f13,f16,f4,f7,f749,f19,f22,f370,f754,f755,f34,f756,f757,f758,f546,f765,f762,f763,f759,f774,f780,f782,f24,f784,f6,f12,f786,f18,f21,f74,f781,f789,f790,f791,f792,f783,f794,f785,f797,f787,f799,f800,f788,f802,f804,f805,f806,f807,f808,f810,f814,f816,f773,f798,f821,f822,f450,f825,f826,f828]) ).
fof(f828,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f810,f450]) ).
fof(f826,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f808,f450]) ).
fof(f825,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f798,f450]) ).
fof(f822,plain,
( identity = sk_c7
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f820,f2]) ).
fof(f820,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f55,f798]) ).
fof(f821,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f3,f798]) ).
fof(f798,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f796,f34]) ).
fof(f773,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f771,f546]) ).
fof(f771,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_2 ),
inference(superposition,[],[f55,f759]) ).
fof(f816,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f815,f1]) ).
fof(f815,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f3,f810]) ).
fof(f814,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f55,f810]) ).
fof(f810,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f792,f804]) ).
fof(f808,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f74,f804]) ).
fof(f807,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f783,f804]) ).
fof(f806,plain,
( sk_c7 = multiply(sk_c7,sk_c4)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f787,f804]) ).
fof(f805,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f788,f804]) ).
fof(f804,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f803,f787]) ).
fof(f803,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(forward_demodulation,[],[f801,f781]) ).
fof(f794,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f3,f783]) ).
fof(f783,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f782,f9,f1,f2,f8,f3,f26,f74,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f13,f16,f4,f7,f19,f22]) ).
fof(f792,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f2,f781]) ).
fof(f791,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f55,f781]) ).
fof(f790,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f211,f781]) ).
fof(f789,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c3)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(superposition,[],[f576,f781]) ).
fof(f781,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(global_subsumption,[],[f780,f9,f1,f2,f8,f3,f26,f74,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f210,f211,f580,f576,f607,f612,f609,f606,f388,f10,f13,f16,f4,f7,f19,f22]) ).
fof(f782,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f10,f370]) ).
fof(f780,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c6 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f22,f370]) ).
fof(f774,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f772,f1]) ).
fof(f772,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f759]) ).
fof(f759,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f34]) ).
fof(f763,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f2,f546]) ).
fof(f762,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f55,f546]) ).
fof(f765,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f761,f34]) ).
fof(f761,plain,
( sk_c8 = multiply(inverse(sk_c1),identity)
| ~ spl0_2 ),
inference(superposition,[],[f211,f546]) ).
fof(f758,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f55,f34]) ).
fof(f757,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_2 ),
inference(superposition,[],[f211,f34]) ).
fof(f756,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f576,f34]) ).
fof(f755,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f30,f370]) ).
fof(f754,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f358,f370]) ).
fof(f370,plain,
( sk_c1 = sk_c5
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f361,f224]) ).
fof(f749,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_2 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f34,f36,f3,f58,f26,f55,f214,f223,f21,f20,f18,f17,f12,f11,f6,f5,f24,f23,f15,f14,f224,f369,f367,f210,f217,f394,f395,f397,f398,f391,f403,f404,f392,f400,f393,f381,f494,f383,f505,f504,f510,f508,f511,f513,f492,f525,f527,f503,f533,f534,f528,f547,f546,f211,f580,f576,f607,f612,f609,f606,f388,f22,f10,f19,f13,f16,f4,f7]) ).
fof(f357,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f55,f30]) ).
fof(f363,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f362,f1]) ).
fof(f362,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f358]) ).
fof(f570,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_1 ),
inference(superposition,[],[f211,f30]) ).
fof(f604,plain,
( identity = multiply(inverse(inverse(sk_c8)),sk_c5)
| ~ spl0_1 ),
inference(superposition,[],[f576,f30]) ).
fof(f547,plain,
( sk_c1 = inverse(sk_c8)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f544,f224]) ).
fof(f544,plain,
( inverse(sk_c8) = multiply(inverse(sk_c8),identity)
| ~ spl0_2 ),
inference(superposition,[],[f55,f528]) ).
fof(f534,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f55,f503]) ).
fof(f533,plain,
( identity = multiply(sk_c8,inverse(sk_c8))
| ~ spl0_2 ),
inference(superposition,[],[f2,f503]) ).
fof(f527,plain,
( ! [X0] : multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f526,f1]) ).
fof(f526,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(inverse(sk_c8)))),multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f492]) ).
fof(f525,plain,
( sk_c1 = multiply(inverse(inverse(inverse(inverse(inverse(sk_c8))))),identity)
| ~ spl0_2 ),
inference(superposition,[],[f55,f492]) ).
fof(f492,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c8)))),sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f55,f381]) ).
fof(f513,plain,
( ! [X0] : multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f512,f1]) ).
fof(f512,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(sk_c8,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f508]) ).
fof(f511,plain,
( sk_c8 = multiply(inverse(inverse(inverse(inverse(sk_c8)))),identity)
| ~ spl0_2 ),
inference(superposition,[],[f55,f508]) ).
fof(f508,plain,
( identity = multiply(inverse(inverse(inverse(sk_c8))),sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f55,f504]) ).
fof(f510,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f509,f1]) ).
fof(f509,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(inverse(inverse(sk_c8)),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f504]) ).
fof(f504,plain,
( sk_c8 = multiply(inverse(inverse(sk_c8)),identity)
| ~ spl0_2 ),
inference(superposition,[],[f383,f391]) ).
fof(f505,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
| ~ spl0_2 ),
inference(superposition,[],[f55,f383]) ).
fof(f494,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c8))),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f493,f1]) ).
fof(f493,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(inverse(inverse(sk_c8))),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f381]) ).
fof(f381,plain,
( sk_c1 = multiply(inverse(inverse(inverse(sk_c8))),identity)
| ~ spl0_2 ),
inference(superposition,[],[f55,f367]) ).
fof(f442,plain,
( identity = sk_c7
| sk_c6 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f441,f391]) ).
fof(f441,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c6 = inverse(sk_c2)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f13,f370]) ).
fof(f400,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_2 ),
inference(superposition,[],[f58,f391]) ).
fof(f404,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f402,f1]) ).
fof(f402,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f391]) ).
fof(f403,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f401,f34]) ).
fof(f401,plain,
( sk_c8 = multiply(inverse(sk_c1),identity)
| ~ spl0_2 ),
inference(superposition,[],[f55,f391]) ).
fof(f391,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f217,f2]) ).
fof(f398,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f55,f217]) ).
fof(f397,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_2 ),
inference(superposition,[],[f224,f217]) ).
fof(f395,plain,
( ! [X0] : multiply(inverse(inverse(sk_c8)),multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f55,f217]) ).
fof(f394,plain,
( identity = multiply(sk_c1,sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f2,f217]) ).
fof(f369,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f368,f1]) ).
fof(f368,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c8),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f224]) ).
fof(f832,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f831,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(global_subsumption,[],[f827,f9,f1,f2,f8,f36,f3,f58,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f30,f358,f224,f369,f367,f210,f217,f394,f395,f397,f398,f391,f403,f404,f392,f400,f393,f442,f381,f494,f383,f505,f504,f510,f508,f511,f513,f492,f525,f527,f503,f533,f534,f528,f547,f211,f580,f576,f607,f612,f604,f570,f363,f357,f361,f609,f606,f388,f10,f13,f16,f4,f7,f749,f19,f22,f370,f754,f755,f34,f756,f757,f758,f546,f765,f762,f763,f759,f774,f780,f782,f24,f784,f6,f12,f786,f18,f21,f74,f781,f789,f790,f791,f792,f783,f794,f785,f797,f787,f799,f800,f788,f802,f804,f805,f806,f807,f808,f810,f814,f816,f773,f798,f821,f822,f450,f825,f826]) ).
fof(f827,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f809,f450]) ).
fof(f809,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f727,f804]) ).
fof(f830,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f829,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(global_subsumption,[],[f9,f1,f2,f8,f36,f3,f58,f26,f55,f214,f223,f20,f17,f11,f5,f23,f15,f14,f30,f358,f224,f369,f367,f210,f217,f394,f395,f397,f398,f391,f403,f404,f392,f400,f393,f442,f381,f494,f383,f505,f504,f510,f508,f511,f513,f492,f525,f527,f503,f533,f534,f528,f547,f211,f580,f576,f607,f612,f604,f570,f363,f357,f361,f609,f606,f388,f10,f13,f16,f4,f7,f749,f19,f22,f370,f754,f755,f34,f756,f757,f758,f546,f765,f762,f763,f759,f774,f780,f782,f24,f784,f6,f12,f786,f18,f21,f74,f781,f789,f790,f791,f792,f783,f794,f785,f797,f787,f799,f800,f788,f802,f804,f805,f806,f807,f808,f810,f814,f816,f773,f798,f821,f822,f450,f825,f826]) ).
fof(f824,plain,
( ~ spl0_2
| spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| ~ spl0_2
| spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f822,f449]) ).
fof(f779,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f777,f449]) ).
fof(f777,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f775,f2]) ).
fof(f775,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f55,f770]) ).
fof(f770,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f768,f34]) ).
fof(f768,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(superposition,[],[f55,f766]) ).
fof(f766,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f752,f370]) ).
fof(f752,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f751,f449]) ).
fof(f751,plain,
( identity = sk_c7
| sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f750,f360]) ).
fof(f750,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f10,f730]) ).
fof(f748,plain,
( ~ spl0_1
| spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_8 ),
inference(subsumption_resolution,[],[f746,f449]) ).
fof(f746,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f744,f2]) ).
fof(f744,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f55,f734]) ).
fof(f734,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f732,f30]) ).
fof(f732,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c7)
| spl0_2 ),
inference(superposition,[],[f55,f717]) ).
fof(f716,plain,
( ~ spl0_1
| spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl0_1
| spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f714,f449]) ).
fof(f714,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f712,f2]) ).
fof(f712,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_1
| spl0_7 ),
inference(superposition,[],[f55,f711]) ).
fof(f711,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_1
| spl0_7 ),
inference(forward_demodulation,[],[f709,f30]) ).
fof(f709,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c7)
| spl0_7 ),
inference(superposition,[],[f55,f702]) ).
fof(f702,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| spl0_7 ),
inference(global_subsumption,[],[f9,f7,f1,f2,f8,f3,f26,f55,f214,f223,f19,f10,f4,f22,f21,f20,f18,f17,f13,f12,f11,f6,f5,f24,f23,f15,f14,f210,f388,f445,f211,f580,f576,f607,f612,f16]) ).
fof(f445,plain,
( sk_c6 != inverse(sk_c2)
| spl0_7 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f701,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f700,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f699,f470]) ).
fof(f699,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f698,f470]) ).
fof(f698,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f697,f450]) ).
fof(f697,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f696,f460]) ).
fof(f696,plain,
( identity != sk_c6
| identity != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f695,f1]) ).
fof(f695,plain,
( identity != multiply(identity,sk_c6)
| identity != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f631,f418]) ).
fof(f631,plain,
( identity != multiply(identity,multiply(sk_c6,identity))
| identity != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f615,f375]) ).
fof(f615,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f614,f450]) ).
fof(f614,plain,
( ! [X6] :
( sk_c7 != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f613,f460]) ).
fof(f613,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f67,f460]) ).
fof(f67,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_3
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f690,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f688,f470]) ).
fof(f688,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f687,f470]) ).
fof(f687,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f686,f470]) ).
fof(f686,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f685,f470]) ).
fof(f685,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f629,f1]) ).
fof(f629,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f615,f576]) ).
fof(f679,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f677,f470]) ).
fof(f677,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f676,f470]) ).
fof(f676,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f627,f1]) ).
fof(f627,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f615,f210]) ).
fof(f675,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f673,f470]) ).
fof(f673,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f672,f470]) ).
fof(f672,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f626,f1]) ).
fof(f626,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f615,f2]) ).
fof(f671,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f670,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f669,f470]) ).
fof(f669,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f625,f1]) ).
fof(f625,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f615,f1]) ).
fof(f668,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f666,f470]) ).
fof(f666,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f665,f460]) ).
fof(f665,plain,
( identity != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f664,f1]) ).
fof(f664,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f624,f460]) ).
fof(f624,plain,
( identity != multiply(identity,sk_c6)
| identity != inverse(sk_c6)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f615,f418]) ).
fof(f663,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f661,f470]) ).
fof(f661,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f660,f450]) ).
fof(f660,plain,
( identity != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f659,f1]) ).
fof(f659,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f623,f450]) ).
fof(f623,plain,
( identity != multiply(identity,sk_c7)
| identity != inverse(sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f615,f426]) ).
fof(f643,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f641,f470]) ).
fof(f641,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f640,f470]) ).
fof(f640,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f639,f450]) ).
fof(f639,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f638,f460]) ).
fof(f638,plain,
( identity != sk_c6
| identity != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f617,f1]) ).
fof(f617,plain,
( identity != multiply(identity,sk_c6)
| identity != inverse(inverse(sk_c7))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f615,f364]) ).
fof(f451,plain,
( spl0_7
| spl0_8
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f442,f32,f28,f448,f444]) ).
fof(f350,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f348,f317]) ).
fof(f348,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f347,f152]) ).
fof(f347,plain,
( identity != inverse(sk_c2)
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f331,f1]) ).
fof(f331,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c2)
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f321,f131]) ).
fof(f321,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f320,f286]) ).
fof(f320,plain,
( ! [X6] :
( sk_c7 != multiply(sk_c7,multiply(X6,sk_c7))
| identity != inverse(X6) )
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f319,f85]) ).
fof(f319,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6)) )
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f318,f286]) ).
fof(f318,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(sk_c6,multiply(X6,sk_c6)) )
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f67,f85]) ).
fof(f346,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f344,f317]) ).
fof(f344,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f343,f286]) ).
fof(f343,plain,
( identity != inverse(sk_c7)
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f330,f1]) ).
fof(f330,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c7)
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f321,f144]) ).
fof(f342,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f340,f317]) ).
fof(f340,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f339,f286]) ).
fof(f339,plain,
( identity != inverse(sk_c7)
| spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f338,f172]) ).
fof(f338,plain,
( identity != inverse(inverse(identity))
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f329,f1]) ).
fof(f329,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f321,f2]) ).
fof(f337,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f336,plain,
( $false
| spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f335,f317]) ).
fof(f335,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f328,f1]) ).
fof(f328,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f321,f1]) ).
fof(f315,plain,
( spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f314,plain,
( $false
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f313,f286]) ).
fof(f313,plain,
( identity != sk_c7
| spl0_1
| spl0_5 ),
inference(superposition,[],[f296,f172]) ).
fof(f296,plain,
( identity != inverse(identity)
| spl0_1
| spl0_5 ),
inference(superposition,[],[f94,f286]) ).
fof(f94,plain,
( sk_c7 != inverse(sk_c7)
| spl0_1
| spl0_5 ),
inference(superposition,[],[f74,f85]) ).
fof(f78,plain,
( spl0_3
| spl0_4
| ~ spl0_5
| spl0_6
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f76,f76,f72,f69,f66]) ).
fof(f35,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f8,f32,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP268-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 04:05:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (20665)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (20668)WARNING: value z3 for option sas not known
% 0.13/0.37 % (20666)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (20668)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)
% 0.13/0.37 % (20669)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (20670)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)
% 0.13/0.37 % (20671)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (20672)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)
% 0.20/0.38 TRYING [3]
% 0.20/0.38 % (20667)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 TRYING [4]
% 0.20/0.40 TRYING [4]
% 0.20/0.40 TRYING [5]
% 0.20/0.41 % (20668)First to succeed.
% 0.20/0.42 % (20668)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20665"
% 0.20/0.42 % (20668)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (20668)------------------------------
% 0.20/0.42 % (20668)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.42 % (20668)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (20668)Memory used [KB]: 1292
% 0.20/0.42 % (20668)Time elapsed: 0.051 s
% 0.20/0.42 % (20668)Instructions burned: 95 (million)
% 0.20/0.42 % (20665)Success in time 0.057 s
%------------------------------------------------------------------------------