TSTP Solution File: GRP228-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP228-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 : Wed May 1 02:28:10 EDT 2024
% Result : Unsatisfiable 1.11s 0.71s
% Output : Refutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 100
% Syntax : Number of formulae : 479 ( 37 unt; 0 def)
% Number of atoms : 1657 ( 423 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 2189 (1011 ~;1142 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 37 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 24 con; 0-2 aty)
% Number of variables : 114 ( 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2379,plain,
$false,
inference(avatar_sat_refutation,[],[f136,f141,f146,f151,f156,f166,f171,f176,f177,f178,f179,f180,f181,f183,f189,f190,f191,f192,f193,f194,f196,f197,f202,f203,f204,f205,f206,f207,f209,f210,f215,f216,f217,f218,f219,f220,f222,f223,f240,f251,f257,f268,f280,f284,f316,f410,f439,f442,f457,f651,f655,f737,f770,f772,f791,f1060,f1308,f1793,f1916,f1931,f2077,f2161,f2205,f2206,f2244,f2275,f2287,f2299,f2328,f2345,f2356,f2371,f2378]) ).
fof(f2378,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_20
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f2377]) ).
fof(f2377,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_20
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f2376,f55]) ).
fof(f55,plain,
~ sP5(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2376,plain,
( sP5(sk_c10)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_20
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2375,f2147]) ).
fof(f2147,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl23_2
| ~ spl23_52 ),
inference(forward_demodulation,[],[f63,f2094]) ).
fof(f2094,plain,
( sk_c10 = sF9
| ~ spl23_2
| ~ spl23_52 ),
inference(forward_demodulation,[],[f130,f455]) ).
fof(f455,plain,
( sk_c10 = sk_c9
| ~ spl23_52 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl23_52
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_52])]) ).
fof(f130,plain,
( sk_c9 = sF9
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl23_2
<=> sk_c9 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f63,plain,
inverse(sk_c10) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
fof(f2375,plain,
( sP5(inverse(sk_c10))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_20
| ~ spl23_52 ),
inference(forward_demodulation,[],[f263,f2189]) ).
fof(f2189,plain,
( identity = sk_c10
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2187,f2106]) ).
fof(f2106,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl23_2
| ~ spl23_52 ),
inference(forward_demodulation,[],[f1531,f2094]) ).
fof(f1531,plain,
identity = multiply(sF9,sk_c10),
inference(superposition,[],[f2,f63]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',left_inverse) ).
fof(f2187,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl23_1
| ~ spl23_11
| ~ spl23_52 ),
inference(superposition,[],[f1326,f1951]) ).
fof(f1951,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl23_11
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1933,f455]) ).
fof(f1933,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl23_11 ),
inference(forward_demodulation,[],[f82,f175]) ).
fof(f175,plain,
( sk_c10 = sF19
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl23_11
<=> sk_c10 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f82,plain,
multiply(sk_c1,sk_c9) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f1326,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl23_1 ),
inference(forward_demodulation,[],[f1325,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',left_identity) ).
fof(f1325,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl23_1 ),
inference(superposition,[],[f3,f1018]) ).
fof(f1018,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl23_1 ),
inference(forward_demodulation,[],[f390,f126]) ).
fof(f126,plain,
( sk_c10 = sF10
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl23_1
<=> sk_c10 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f390,plain,
identity = multiply(sF10,sk_c1),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
inverse(sk_c1) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',associativity) ).
fof(f263,plain,
( sP5(inverse(identity))
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl23_20
<=> sP5(inverse(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
fof(f2371,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_52
| ~ spl23_56 ),
inference(avatar_contradiction_clause,[],[f2370]) ).
fof(f2370,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_52
| ~ spl23_56 ),
inference(subsumption_resolution,[],[f1944,f2358]) ).
fof(f2358,plain,
( sP6(sk_c10)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_52
| ~ spl23_56 ),
inference(forward_demodulation,[],[f2357,f2189]) ).
fof(f2357,plain,
( sP6(identity)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_52
| ~ spl23_56 ),
inference(forward_demodulation,[],[f483,f2199]) ).
fof(f2199,plain,
( ! [X1] : multiply(sk_c10,X1) = X1
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1604,f2189]) ).
fof(f1604,plain,
! [X1] : multiply(identity,X1) = X1,
inference(forward_demodulation,[],[f1538,f521]) ).
fof(f521,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f504,f1]) ).
fof(f504,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f1538,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f483,plain,
( sP6(multiply(sk_c10,identity))
| ~ spl23_56 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl23_56
<=> sP6(multiply(sk_c10,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_56])]) ).
fof(f1944,plain,
( ~ sP6(sk_c10)
| ~ spl23_52 ),
inference(backward_demodulation,[],[f56,f455]) ).
fof(f56,plain,
~ sP6(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2356,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_22
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f2355]) ).
fof(f2355,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_22
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f2354,f53]) ).
fof(f53,plain,
~ sP3(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2354,plain,
( sP3(sk_c10)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_22
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2353,f2147]) ).
fof(f2353,plain,
( sP3(inverse(sk_c10))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_22
| ~ spl23_52 ),
inference(forward_demodulation,[],[f275,f2189]) ).
fof(f275,plain,
( sP3(inverse(identity))
| ~ spl23_22 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl23_22
<=> sP3(inverse(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
fof(f2345,plain,
( ~ spl23_23
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f2344]) ).
fof(f2344,plain,
( $false
| ~ spl23_23
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f2343,f52]) ).
fof(f52,plain,
~ sP2(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2343,plain,
( sP2(sk_c10)
| ~ spl23_23
| ~ spl23_52 ),
inference(forward_demodulation,[],[f279,f455]) ).
fof(f279,plain,
( sP2(sk_c9)
| ~ spl23_23 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl23_23
<=> sP2(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_23])]) ).
fof(f2328,plain,
( ~ spl23_1
| ~ spl23_11
| spl23_50 ),
inference(avatar_contradiction_clause,[],[f2327]) ).
fof(f2327,plain,
( $false
| ~ spl23_1
| ~ spl23_11
| spl23_50 ),
inference(subsumption_resolution,[],[f2326,f126]) ).
fof(f2326,plain,
( sk_c10 != sF10
| ~ spl23_11
| spl23_50 ),
inference(forward_demodulation,[],[f438,f175]) ).
fof(f438,plain,
( sF10 != sF19
| spl23_50 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f436,plain,
( spl23_50
<=> sF10 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_50])]) ).
fof(f2299,plain,
( spl23_30
| ~ spl23_2
| ~ spl23_43
| ~ spl23_52 ),
inference(avatar_split_clause,[],[f2298,f454,f400,f128,f318]) ).
fof(f318,plain,
( spl23_30
<=> ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_30])]) ).
fof(f400,plain,
( spl23_43
<=> ! [X0] :
( inverse(sk_c9) != inverse(multiply(X0,inverse(sk_c9)))
| inverse(X0) != multiply(X0,inverse(sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_43])]) ).
fof(f2298,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl23_2
| ~ spl23_43
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2297,f2147]) ).
fof(f2297,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl23_2
| ~ spl23_43
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2296,f455]) ).
fof(f2296,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,inverse(sk_c9)) )
| ~ spl23_2
| ~ spl23_43
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2295,f2147]) ).
fof(f2295,plain,
( ! [X0] :
( inverse(sk_c10) != inverse(multiply(X0,inverse(sk_c10)))
| inverse(X0) != multiply(X0,inverse(sk_c9)) )
| ~ spl23_43
| ~ spl23_52 ),
inference(forward_demodulation,[],[f401,f455]) ).
fof(f401,plain,
( ! [X0] :
( inverse(sk_c9) != inverse(multiply(X0,inverse(sk_c9)))
| inverse(X0) != multiply(X0,inverse(sk_c9)) )
| ~ spl23_43 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f2287,plain,
( ~ spl23_2
| ~ spl23_11
| spl23_49
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f2286]) ).
fof(f2286,plain,
( $false
| ~ spl23_2
| ~ spl23_11
| spl23_49
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f2285,f2147]) ).
fof(f2285,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl23_11
| spl23_49
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2284,f455]) ).
fof(f2284,plain,
( inverse(sk_c10) != sk_c9
| ~ spl23_11
| spl23_49 ),
inference(forward_demodulation,[],[f434,f175]) ).
fof(f434,plain,
( sk_c9 != inverse(sF19)
| spl23_49 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl23_49
<=> sk_c9 = inverse(sF19) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_49])]) ).
fof(f2275,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_28
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f2274]) ).
fof(f2274,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_28
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f2273,f51]) ).
fof(f51,plain,
~ sP1(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2273,plain,
( sP1(sk_c10)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_28
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2272,f455]) ).
fof(f2272,plain,
( sP1(sk_c9)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_28
| ~ spl23_52 ),
inference(forward_demodulation,[],[f311,f2199]) ).
fof(f311,plain,
( sP1(multiply(sk_c10,sk_c9))
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl23_28
<=> sP1(multiply(sk_c10,sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f2244,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_29
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f2243]) ).
fof(f2243,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_29
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f2242,f50]) ).
fof(f50,plain,
~ sP0(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2242,plain,
( sP0(sk_c10)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_29
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2005,f2199]) ).
fof(f2005,plain,
( sP0(multiply(sk_c10,sk_c10))
| ~ spl23_29
| ~ spl23_52 ),
inference(forward_demodulation,[],[f315,f455]) ).
fof(f315,plain,
( sP0(multiply(sk_c9,sk_c9))
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl23_29
<=> sP0(multiply(sk_c9,sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
fof(f2206,plain,
( ~ spl23_21
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_52
| spl23_56 ),
inference(avatar_split_clause,[],[f2193,f481,f454,f173,f128,f124,f265]) ).
fof(f265,plain,
( spl23_21
<=> sP6(multiply(sk_c10,sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
fof(f2193,plain,
( ~ sP6(multiply(sk_c10,sk_c10))
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_52
| spl23_56 ),
inference(backward_demodulation,[],[f482,f2189]) ).
fof(f482,plain,
( ~ sP6(multiply(sk_c10,identity))
| spl23_56 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f2205,plain,
( ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_45
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f2204]) ).
fof(f2204,plain,
( $false
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_45
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f2191,f50]) ).
fof(f2191,plain,
( sP0(sk_c10)
| ~ spl23_1
| ~ spl23_2
| ~ spl23_11
| ~ spl23_45
| ~ spl23_52 ),
inference(backward_demodulation,[],[f409,f2189]) ).
fof(f409,plain,
( sP0(identity)
| ~ spl23_45 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f407,plain,
( spl23_45
<=> sP0(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_45])]) ).
fof(f2161,plain,
( ~ spl23_2
| spl23_28
| ~ spl23_44
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f2160]) ).
fof(f2160,plain,
( $false
| ~ spl23_2
| spl23_28
| ~ spl23_44
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f2159,f2153]) ).
fof(f2153,plain,
( ~ sP1(identity)
| ~ spl23_2
| spl23_28
| ~ spl23_52 ),
inference(forward_demodulation,[],[f1947,f2106]) ).
fof(f1947,plain,
( ~ sP1(multiply(sk_c10,sk_c10))
| spl23_28
| ~ spl23_52 ),
inference(backward_demodulation,[],[f310,f455]) ).
fof(f310,plain,
( ~ sP1(multiply(sk_c10,sk_c9))
| spl23_28 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f2159,plain,
( sP1(identity)
| ~ spl23_2
| ~ spl23_44
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2158,f2106]) ).
fof(f2158,plain,
( sP1(multiply(sk_c10,sk_c10))
| ~ spl23_2
| ~ spl23_44
| ~ spl23_52 ),
inference(forward_demodulation,[],[f2079,f2147]) ).
fof(f2079,plain,
( sP1(multiply(sk_c10,inverse(sk_c10)))
| ~ spl23_44
| ~ spl23_52 ),
inference(forward_demodulation,[],[f405,f455]) ).
fof(f405,plain,
( sP1(multiply(sk_c9,inverse(sk_c9)))
| ~ spl23_44 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f403,plain,
( spl23_44
<=> sP1(multiply(sk_c9,inverse(sk_c9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_44])]) ).
fof(f2077,plain,
( ~ spl23_7
| ~ spl23_9
| ~ spl23_29
| ~ spl23_51
| ~ spl23_52
| ~ spl23_58
| ~ spl23_59 ),
inference(avatar_contradiction_clause,[],[f2076]) ).
fof(f2076,plain,
( $false
| ~ spl23_7
| ~ spl23_9
| ~ spl23_29
| ~ spl23_51
| ~ spl23_52
| ~ spl23_58
| ~ spl23_59 ),
inference(subsumption_resolution,[],[f2075,f50]) ).
fof(f2075,plain,
( sP0(sk_c10)
| ~ spl23_7
| ~ spl23_9
| ~ spl23_29
| ~ spl23_51
| ~ spl23_52
| ~ spl23_58
| ~ spl23_59 ),
inference(forward_demodulation,[],[f2006,f155]) ).
fof(f155,plain,
( sk_c10 = sF15
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl23_7
<=> sk_c10 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f2006,plain,
( sP0(sF15)
| ~ spl23_9
| ~ spl23_29
| ~ spl23_51
| ~ spl23_52
| ~ spl23_58
| ~ spl23_59 ),
inference(forward_demodulation,[],[f2005,f1993]) ).
fof(f1993,plain,
( sF15 = multiply(sk_c10,sk_c10)
| ~ spl23_9
| ~ spl23_51
| ~ spl23_52
| ~ spl23_58
| ~ spl23_59 ),
inference(backward_demodulation,[],[f1975,f1982]) ).
fof(f1982,plain,
( identity = sF15
| ~ spl23_9
| ~ spl23_51
| ~ spl23_52
| ~ spl23_58
| ~ spl23_59 ),
inference(forward_demodulation,[],[f1968,f1975]) ).
fof(f1968,plain,
( sF15 = multiply(sk_c10,sk_c10)
| ~ spl23_51
| ~ spl23_52
| ~ spl23_58
| ~ spl23_59 ),
inference(backward_demodulation,[],[f1945,f1953]) ).
fof(f1953,plain,
( sk_c10 = sk_c8
| ~ spl23_51
| ~ spl23_58
| ~ spl23_59 ),
inference(forward_demodulation,[],[f451,f1941]) ).
fof(f1941,plain,
( sk_c8 = inverse(identity)
| ~ spl23_58
| ~ spl23_59 ),
inference(forward_demodulation,[],[f540,f544]) ).
fof(f544,plain,
( sk_c8 = sk_c6
| ~ spl23_59 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl23_59
<=> sk_c8 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_59])]) ).
fof(f540,plain,
( sk_c6 = inverse(identity)
| ~ spl23_58 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl23_58
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_58])]) ).
fof(f451,plain,
( sk_c10 = inverse(identity)
| ~ spl23_51 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl23_51
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_51])]) ).
fof(f1945,plain,
( sF15 = multiply(sk_c8,sk_c10)
| ~ spl23_52 ),
inference(backward_demodulation,[],[f74,f455]) ).
fof(f74,plain,
multiply(sk_c8,sk_c9) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1975,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl23_9
| ~ spl23_51
| ~ spl23_58
| ~ spl23_59 ),
inference(backward_demodulation,[],[f1531,f1972]) ).
fof(f1972,plain,
( sk_c10 = sF9
| ~ spl23_9
| ~ spl23_51
| ~ spl23_58
| ~ spl23_59 ),
inference(forward_demodulation,[],[f1960,f63]) ).
fof(f1960,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl23_9
| ~ spl23_51
| ~ spl23_58
| ~ spl23_59 ),
inference(backward_demodulation,[],[f1935,f1953]) ).
fof(f1935,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl23_9
| ~ spl23_59 ),
inference(backward_demodulation,[],[f242,f544]) ).
fof(f242,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl23_9 ),
inference(backward_demodulation,[],[f78,f165]) ).
fof(f165,plain,
( sk_c8 = sF17
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl23_9
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f78,plain,
inverse(sk_c6) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f1931,plain,
( spl23_52
| ~ spl23_12
| ~ spl23_13
| ~ spl23_14 ),
inference(avatar_split_clause,[],[f1930,f212,f199,f186,f454]) ).
fof(f186,plain,
( spl23_12
<=> sk_c9 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f199,plain,
( spl23_13
<=> sk_c3 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f212,plain,
( spl23_14
<=> sk_c10 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f1930,plain,
( sk_c10 = sk_c9
| ~ spl23_12
| ~ spl23_13
| ~ spl23_14 ),
inference(forward_demodulation,[],[f188,f1928]) ).
fof(f1928,plain,
( sk_c10 = sF20
| ~ spl23_13
| ~ spl23_14 ),
inference(forward_demodulation,[],[f92,f1815]) ).
fof(f1815,plain,
( sk_c10 = multiply(sk_c10,sk_c3)
| ~ spl23_13
| ~ spl23_14 ),
inference(superposition,[],[f1328,f1181]) ).
fof(f1181,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| ~ spl23_13 ),
inference(forward_demodulation,[],[f102,f201]) ).
fof(f201,plain,
( sk_c3 = sF21
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f102,plain,
multiply(sk_c2,sk_c10) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f1328,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
| ~ spl23_14 ),
inference(forward_demodulation,[],[f1327,f1]) ).
fof(f1327,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl23_14 ),
inference(superposition,[],[f3,f1027]) ).
fof(f1027,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl23_14 ),
inference(forward_demodulation,[],[f396,f214]) ).
fof(f214,plain,
( sk_c10 = sF22
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f396,plain,
identity = multiply(sF22,sk_c2),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
inverse(sk_c2) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f92,plain,
multiply(sk_c10,sk_c3) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f188,plain,
( sk_c9 = sF20
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f1916,plain,
( ~ spl23_1
| spl23_2
| ~ spl23_11
| ~ spl23_14
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f1915]) ).
fof(f1915,plain,
( $false
| ~ spl23_1
| spl23_2
| ~ spl23_11
| ~ spl23_14
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f1914,f1315]) ).
fof(f1315,plain,
( sk_c10 != sF9
| spl23_2
| ~ spl23_52 ),
inference(forward_demodulation,[],[f129,f455]) ).
fof(f129,plain,
( sk_c9 != sF9
| spl23_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f1914,plain,
( sk_c10 = sF9
| ~ spl23_1
| ~ spl23_11
| ~ spl23_14
| ~ spl23_52 ),
inference(forward_demodulation,[],[f1913,f63]) ).
fof(f1913,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl23_1
| ~ spl23_11
| ~ spl23_14
| ~ spl23_52 ),
inference(backward_demodulation,[],[f901,f1911]) ).
fof(f1911,plain,
( sk_c10 = sk_c2
| ~ spl23_1
| ~ spl23_11
| ~ spl23_14
| ~ spl23_52 ),
inference(forward_demodulation,[],[f1871,f1879]) ).
fof(f1879,plain,
( identity = sk_c10
| ~ spl23_1
| ~ spl23_11
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1531,f1861]) ).
fof(f1861,plain,
( ! [X0] : multiply(sF9,X0) = X0
| ~ spl23_1
| ~ spl23_11
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1703,f1856]) ).
fof(f1856,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl23_1
| ~ spl23_11
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1326,f1848]) ).
fof(f1848,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl23_1
| ~ spl23_11
| ~ spl23_52 ),
inference(superposition,[],[f950,f1326]) ).
fof(f950,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl23_11
| ~ spl23_52 ),
inference(forward_demodulation,[],[f865,f175]) ).
fof(f865,plain,
( ! [X0] : multiply(sF19,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl23_52 ),
inference(forward_demodulation,[],[f505,f455]) ).
fof(f505,plain,
! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sF19,X0),
inference(superposition,[],[f3,f82]) ).
fof(f1703,plain,
! [X0] : multiply(sF9,multiply(sk_c10,X0)) = X0,
inference(forward_demodulation,[],[f1684,f1604]) ).
fof(f1684,plain,
! [X0] : multiply(identity,X0) = multiply(sF9,multiply(sk_c10,X0)),
inference(superposition,[],[f3,f1531]) ).
fof(f1871,plain,
( identity = sk_c2
| ~ spl23_1
| ~ spl23_11
| ~ spl23_14
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1537,f1856]) ).
fof(f1537,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl23_14 ),
inference(superposition,[],[f2,f901]) ).
fof(f901,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl23_14 ),
inference(backward_demodulation,[],[f112,f214]) ).
fof(f1793,plain,
( spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9
| ~ spl23_10
| ~ spl23_14
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f1792]) ).
fof(f1792,plain,
( $false
| spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9
| ~ spl23_10
| ~ spl23_14
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f1791,f1315]) ).
fof(f1791,plain,
( sk_c10 = sF9
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9
| ~ spl23_10
| ~ spl23_14
| ~ spl23_52 ),
inference(forward_demodulation,[],[f1790,f63]) ).
fof(f1790,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9
| ~ spl23_10
| ~ spl23_14
| ~ spl23_52 ),
inference(backward_demodulation,[],[f901,f1769]) ).
fof(f1769,plain,
( sk_c10 = sk_c2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9
| ~ spl23_10
| ~ spl23_14
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1746,f1747]) ).
fof(f1747,plain,
( ! [X1] : multiply(sk_c10,X1) = X1
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9
| ~ spl23_10
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1604,f1732]) ).
fof(f1732,plain,
( identity = sk_c10
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9
| ~ spl23_10
| ~ spl23_52 ),
inference(forward_demodulation,[],[f1730,f395]) ).
fof(f395,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl23_9 ),
inference(superposition,[],[f2,f242]) ).
fof(f1730,plain,
( sk_c10 = multiply(sk_c8,sk_c6)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9
| ~ spl23_10
| ~ spl23_52 ),
inference(superposition,[],[f525,f1680]) ).
fof(f1680,plain,
( sk_c6 = multiply(sk_c6,sk_c10)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10
| ~ spl23_52 ),
inference(forward_demodulation,[],[f1677,f241]) ).
fof(f241,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl23_10 ),
inference(backward_demodulation,[],[f80,f170]) ).
fof(f170,plain,
( sk_c6 = sF18
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl23_10
<=> sk_c6 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f80,plain,
multiply(sk_c7,sk_c8) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1677,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c10)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_10
| ~ spl23_52 ),
inference(superposition,[],[f514,f1172]) ).
fof(f1172,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1167,f1171]) ).
fof(f1171,plain,
( sk_c8 = sF15
| ~ spl23_5
| ~ spl23_6
| ~ spl23_52 ),
inference(forward_demodulation,[],[f575,f1167]) ).
fof(f575,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl23_5
| ~ spl23_6 ),
inference(superposition,[],[f524,f246]) ).
fof(f246,plain,
( sk_c10 = multiply(sk_c5,sk_c8)
| ~ spl23_5 ),
inference(backward_demodulation,[],[f70,f145]) ).
fof(f145,plain,
( sk_c10 = sF13
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl23_5
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f70,plain,
multiply(sk_c5,sk_c8) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f524,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl23_6 ),
inference(forward_demodulation,[],[f512,f1]) ).
fof(f512,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl23_6 ),
inference(superposition,[],[f3,f393]) ).
fof(f393,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl23_6 ),
inference(superposition,[],[f2,f245]) ).
fof(f245,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl23_6 ),
inference(backward_demodulation,[],[f72,f150]) ).
fof(f150,plain,
( sk_c8 = sF14
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl23_6
<=> sk_c8 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f72,plain,
inverse(sk_c5) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f1167,plain,
( sF15 = multiply(sk_c8,sk_c10)
| ~ spl23_52 ),
inference(forward_demodulation,[],[f74,f455]) ).
fof(f514,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl23_10 ),
inference(superposition,[],[f3,f241]) ).
fof(f525,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl23_9 ),
inference(forward_demodulation,[],[f513,f1]) ).
fof(f513,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl23_9 ),
inference(superposition,[],[f3,f395]) ).
fof(f1746,plain,
( sk_c10 = multiply(sk_c10,sk_c2)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9
| ~ spl23_10
| ~ spl23_14
| ~ spl23_52 ),
inference(backward_demodulation,[],[f1537,f1732]) ).
fof(f1308,plain,
( ~ spl23_1
| ~ spl23_11
| ~ spl23_15
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1307,plain,
( $false
| ~ spl23_1
| ~ spl23_11
| ~ spl23_15
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f1306,f57]) ).
fof(f57,plain,
~ sP7(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1306,plain,
( sP7(sk_c10)
| ~ spl23_1
| ~ spl23_11
| ~ spl23_15
| ~ spl23_52 ),
inference(forward_demodulation,[],[f1305,f949]) ).
fof(f949,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl23_11
| ~ spl23_52 ),
inference(forward_demodulation,[],[f838,f175]) ).
fof(f838,plain,
( sF19 = multiply(sk_c1,sk_c10)
| ~ spl23_52 ),
inference(forward_demodulation,[],[f82,f455]) ).
fof(f1305,plain,
( sP7(multiply(sk_c1,sk_c10))
| ~ spl23_1
| ~ spl23_15
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f1304,f58]) ).
fof(f58,plain,
~ sP8(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1304,plain,
( sP8(sk_c10)
| sP7(multiply(sk_c1,sk_c10))
| ~ spl23_1
| ~ spl23_15
| ~ spl23_52 ),
inference(superposition,[],[f898,f922]) ).
fof(f922,plain,
( inverse(sk_c1) = sk_c10
| ~ spl23_1 ),
inference(backward_demodulation,[],[f64,f126]) ).
fof(f898,plain,
( ! [X3] :
( sP8(inverse(X3))
| sP7(multiply(X3,sk_c10)) )
| ~ spl23_15
| ~ spl23_52 ),
inference(forward_demodulation,[],[f226,f455]) ).
fof(f226,plain,
( ! [X3] :
( sP7(multiply(X3,sk_c9))
| sP8(inverse(X3)) )
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl23_15
<=> ! [X3] :
( sP7(multiply(X3,sk_c9))
| sP8(inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f1060,plain,
( ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_52
| spl23_59 ),
inference(avatar_contradiction_clause,[],[f1059]) ).
fof(f1059,plain,
( $false
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_52
| spl23_59 ),
inference(subsumption_resolution,[],[f1058,f945]) ).
fof(f945,plain,
( sk_c10 = sk_c8
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_52 ),
inference(forward_demodulation,[],[f944,f943]) ).
fof(f943,plain,
( sk_c8 = multiply(sk_c10,sk_c10)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_52 ),
inference(forward_demodulation,[],[f575,f935]) ).
fof(f935,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,X0)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_52 ),
inference(forward_demodulation,[],[f883,f576]) ).
fof(f576,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl23_5
| ~ spl23_6 ),
inference(superposition,[],[f524,f510]) ).
fof(f510,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl23_5 ),
inference(superposition,[],[f3,f246]) ).
fof(f883,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl23_7
| ~ spl23_52 ),
inference(forward_demodulation,[],[f511,f455]) ).
fof(f511,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl23_7 ),
inference(superposition,[],[f3,f244]) ).
fof(f244,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl23_7 ),
inference(backward_demodulation,[],[f74,f155]) ).
fof(f944,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_52 ),
inference(forward_demodulation,[],[f874,f935]) ).
fof(f874,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| ~ spl23_7
| ~ spl23_52 ),
inference(forward_demodulation,[],[f244,f455]) ).
fof(f1058,plain,
( sk_c10 != sk_c8
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_52
| spl23_59 ),
inference(forward_demodulation,[],[f545,f971]) ).
fof(f971,plain,
( sk_c10 = sk_c6
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_52 ),
inference(forward_demodulation,[],[f970,f961]) ).
fof(f961,plain,
( identity = sk_c6
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_52 ),
inference(backward_demodulation,[],[f948,f952]) ).
fof(f952,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_52 ),
inference(forward_demodulation,[],[f951,f940]) ).
fof(f940,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_52 ),
inference(forward_demodulation,[],[f938,f935]) ).
fof(f938,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_52 ),
inference(backward_demodulation,[],[f576,f935]) ).
fof(f951,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = X0
| ~ spl23_2
| ~ spl23_52 ),
inference(forward_demodulation,[],[f523,f455]) ).
fof(f523,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl23_2 ),
inference(forward_demodulation,[],[f508,f1]) ).
fof(f508,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl23_2 ),
inference(superposition,[],[f3,f391]) ).
fof(f391,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl23_2 ),
inference(superposition,[],[f2,f250]) ).
fof(f250,plain,
( inverse(sk_c10) = sk_c9
| ~ spl23_2 ),
inference(backward_demodulation,[],[f63,f130]) ).
fof(f948,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_52 ),
inference(forward_demodulation,[],[f395,f945]) ).
fof(f970,plain,
( identity = sk_c10
| ~ spl23_2
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_52 ),
inference(forward_demodulation,[],[f859,f952]) ).
fof(f859,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl23_2
| ~ spl23_52 ),
inference(forward_demodulation,[],[f391,f455]) ).
fof(f545,plain,
( sk_c8 != sk_c6
| spl23_59 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f791,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_21
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f790,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_21
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f789,f749]) ).
fof(f749,plain,
( ~ sP6(sk_c10)
| ~ spl23_52 ),
inference(backward_demodulation,[],[f56,f455]) ).
fof(f789,plain,
( sP6(sk_c10)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_21 ),
inference(forward_demodulation,[],[f267,f613]) ).
fof(f613,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f602,f600]) ).
fof(f600,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f599,f523]) ).
fof(f599,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f588,f587]) ).
fof(f587,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,X0)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_7 ),
inference(forward_demodulation,[],[f581,f531]) ).
fof(f531,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl23_3
| ~ spl23_4 ),
inference(superposition,[],[f3,f527]) ).
fof(f527,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl23_3
| ~ spl23_4 ),
inference(superposition,[],[f522,f247]) ).
fof(f247,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl23_4 ),
inference(backward_demodulation,[],[f68,f140]) ).
fof(f140,plain,
( sk_c10 = sF12
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl23_4
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f68,plain,
multiply(sk_c4,sk_c9) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f522,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl23_3 ),
inference(forward_demodulation,[],[f507,f1]) ).
fof(f507,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl23_3 ),
inference(superposition,[],[f3,f392]) ).
fof(f392,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl23_3 ),
inference(superposition,[],[f2,f248]) ).
fof(f248,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl23_3 ),
inference(backward_demodulation,[],[f66,f135]) ).
fof(f135,plain,
( sk_c10 = sF11
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl23_3
<=> sk_c10 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f66,plain,
inverse(sk_c4) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f581,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl23_2
| ~ spl23_7 ),
inference(superposition,[],[f511,f523]) ).
fof(f588,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f576,f587]) ).
fof(f602,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,X0)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f561,f600]) ).
fof(f561,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(backward_demodulation,[],[f509,f554]) ).
fof(f554,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
| ~ spl23_2
| ~ spl23_3 ),
inference(superposition,[],[f523,f522]) ).
fof(f509,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl23_4 ),
inference(superposition,[],[f3,f247]) ).
fof(f267,plain,
( sP6(multiply(sk_c10,sk_c10))
| ~ spl23_21 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f772,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_20
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f771,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_20
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f757,f55]) ).
fof(f757,plain,
( sP5(sk_c10)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_20
| ~ spl23_52 ),
inference(backward_demodulation,[],[f648,f455]) ).
fof(f648,plain,
( sP5(sk_c9)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_20 ),
inference(forward_demodulation,[],[f639,f250]) ).
fof(f639,plain,
( sP5(inverse(sk_c10))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_20 ),
inference(backward_demodulation,[],[f263,f610]) ).
fof(f610,plain,
( identity = sk_c10
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f391,f600]) ).
fof(f770,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_28
| ~ spl23_52 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f769,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_28
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f755,f51]) ).
fof(f755,plain,
( sP1(sk_c10)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_28
| ~ spl23_52 ),
inference(backward_demodulation,[],[f618,f455]) ).
fof(f618,plain,
( sP1(sk_c9)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_28 ),
inference(backward_demodulation,[],[f311,f613]) ).
fof(f737,plain,
( spl23_52
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10 ),
inference(avatar_split_clause,[],[f736,f168,f163,f153,f148,f143,f138,f133,f128,f454]) ).
fof(f736,plain,
( sk_c10 = sk_c9
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10 ),
inference(forward_demodulation,[],[f653,f660]) ).
fof(f660,plain,
( sk_c10 = sk_c6
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| ~ spl23_10 ),
inference(forward_demodulation,[],[f658,f631]) ).
fof(f631,plain,
( sk_c10 = multiply(sk_c6,sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9 ),
inference(backward_demodulation,[],[f246,f629]) ).
fof(f629,plain,
( sk_c5 = sk_c6
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9 ),
inference(forward_demodulation,[],[f620,f613]) ).
fof(f620,plain,
( sk_c5 = multiply(sk_c10,sk_c6)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9 ),
inference(backward_demodulation,[],[f571,f613]) ).
fof(f571,plain,
( multiply(sk_c10,sk_c5) = multiply(sk_c10,sk_c6)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9 ),
inference(forward_demodulation,[],[f569,f568]) ).
fof(f568,plain,
( multiply(sk_c10,sk_c5) = multiply(sk_c5,identity)
| ~ spl23_5
| ~ spl23_6 ),
inference(superposition,[],[f510,f393]) ).
fof(f569,plain,
( multiply(sk_c5,identity) = multiply(sk_c10,sk_c6)
| ~ spl23_5
| ~ spl23_9 ),
inference(superposition,[],[f510,f395]) ).
fof(f658,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_10 ),
inference(backward_demodulation,[],[f241,f657]) ).
fof(f657,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_10 ),
inference(forward_demodulation,[],[f589,f600]) ).
fof(f589,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_7
| ~ spl23_10 ),
inference(backward_demodulation,[],[f514,f587]) ).
fof(f653,plain,
( sk_c9 = sk_c6
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9 ),
inference(forward_demodulation,[],[f647,f632]) ).
fof(f632,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9 ),
inference(backward_demodulation,[],[f617,f629]) ).
fof(f617,plain,
( sk_c9 = multiply(sk_c5,sk_c10)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(backward_demodulation,[],[f567,f613]) ).
fof(f567,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c5,sk_c10)
| ~ spl23_5
| ~ spl23_7 ),
inference(superposition,[],[f510,f244]) ).
fof(f647,plain,
( sk_c6 = multiply(sk_c6,sk_c10)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9 ),
inference(backward_demodulation,[],[f633,f610]) ).
fof(f633,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9 ),
inference(forward_demodulation,[],[f621,f629]) ).
fof(f621,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9 ),
inference(backward_demodulation,[],[f572,f613]) ).
fof(f572,plain,
( multiply(sk_c5,identity) = multiply(sk_c10,sk_c6)
| ~ spl23_5
| ~ spl23_6
| ~ spl23_9 ),
inference(backward_demodulation,[],[f568,f571]) ).
fof(f655,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| spl23_58 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_9
| spl23_58 ),
inference(subsumption_resolution,[],[f653,f652]) ).
fof(f652,plain,
( sk_c9 != sk_c6
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| spl23_58 ),
inference(forward_demodulation,[],[f645,f250]) ).
fof(f645,plain,
( inverse(sk_c10) != sk_c6
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| spl23_58 ),
inference(backward_demodulation,[],[f541,f610]) ).
fof(f541,plain,
( sk_c6 != inverse(identity)
| spl23_58 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f651,plain,
( ~ spl23_52
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| spl23_51 ),
inference(avatar_split_clause,[],[f650,f450,f153,f148,f143,f138,f133,f128,f454]) ).
fof(f650,plain,
( sk_c10 != sk_c9
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| spl23_51 ),
inference(forward_demodulation,[],[f644,f250]) ).
fof(f644,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| spl23_51 ),
inference(backward_demodulation,[],[f452,f610]) ).
fof(f452,plain,
( sk_c10 != inverse(identity)
| spl23_51 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f457,plain,
( ~ spl23_51
| ~ spl23_52
| ~ spl23_2
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f448,f318,f128,f454,f450]) ).
fof(f448,plain,
( sk_c10 != sk_c9
| sk_c10 != inverse(identity)
| ~ spl23_2
| ~ spl23_30 ),
inference(forward_demodulation,[],[f444,f250]) ).
fof(f444,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != inverse(identity)
| ~ spl23_30 ),
inference(superposition,[],[f319,f1]) ).
fof(f319,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f442,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_27 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_4
| ~ spl23_27 ),
inference(subsumption_resolution,[],[f440,f248]) ).
fof(f440,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl23_2
| ~ spl23_4
| ~ spl23_27 ),
inference(subsumption_resolution,[],[f414,f250]) ).
fof(f414,plain,
( inverse(sk_c10) != sk_c9
| sk_c10 != inverse(sk_c4)
| ~ spl23_4
| ~ spl23_27 ),
inference(superposition,[],[f307,f247]) ).
fof(f307,plain,
( ! [X0] :
( sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl23_27
<=> ! [X0] :
( sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_27])]) ).
fof(f439,plain,
( ~ spl23_49
| ~ spl23_50
| ~ spl23_27 ),
inference(avatar_split_clause,[],[f430,f306,f436,f432]) ).
fof(f430,plain,
( sF10 != sF19
| sk_c9 != inverse(sF19)
| ~ spl23_27 ),
inference(forward_demodulation,[],[f413,f64]) ).
fof(f413,plain,
( sk_c9 != inverse(sF19)
| inverse(sk_c1) != sF19
| ~ spl23_27 ),
inference(superposition,[],[f307,f82]) ).
fof(f410,plain,
( spl23_43
| spl23_44
| spl23_45
| ~ spl23_19 ),
inference(avatar_split_clause,[],[f397,f238,f407,f403,f400]) ).
fof(f238,plain,
( spl23_19
<=> ! [X9,X7] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| sP1(multiply(X7,inverse(X7)))
| sP0(multiply(inverse(X7),sk_c9))
| inverse(X9) != multiply(X9,inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f397,plain,
( ! [X0] :
( sP0(identity)
| sP1(multiply(sk_c9,inverse(sk_c9)))
| inverse(sk_c9) != inverse(multiply(X0,inverse(sk_c9)))
| inverse(X0) != multiply(X0,inverse(sk_c9)) )
| ~ spl23_19 ),
inference(superposition,[],[f239,f2]) ).
fof(f239,plain,
( ! [X9,X7] :
( sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7)))
| inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7)) )
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f316,plain,
( spl23_27
| spl23_28
| spl23_29
| ~ spl23_2
| ~ spl23_19 ),
inference(avatar_split_clause,[],[f287,f238,f128,f313,f309,f306]) ).
fof(f287,plain,
( ! [X0] :
( sP0(multiply(sk_c9,sk_c9))
| sP1(multiply(sk_c10,sk_c9))
| sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl23_2
| ~ spl23_19 ),
inference(superposition,[],[f239,f250]) ).
fof(f284,plain,
( ~ spl23_3
| ~ spl23_4
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl23_3
| ~ spl23_4
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f282,f53]) ).
fof(f282,plain,
( sP3(sk_c10)
| ~ spl23_3
| ~ spl23_4
| ~ spl23_18 ),
inference(forward_demodulation,[],[f281,f248]) ).
fof(f281,plain,
( sP3(inverse(sk_c4))
| ~ spl23_4
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f270,f52]) ).
fof(f270,plain,
( sP2(sk_c10)
| sP3(inverse(sk_c4))
| ~ spl23_4
| ~ spl23_18 ),
inference(superposition,[],[f236,f247]) ).
fof(f236,plain,
( ! [X6] :
( sP2(multiply(X6,sk_c9))
| sP3(inverse(X6)) )
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl23_18
<=> ! [X6] :
( sP2(multiply(X6,sk_c9))
| sP3(inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f280,plain,
( spl23_22
| spl23_23
| ~ spl23_18 ),
inference(avatar_split_clause,[],[f269,f235,f277,f273]) ).
fof(f269,plain,
( sP2(sk_c9)
| sP3(inverse(identity))
| ~ spl23_18 ),
inference(superposition,[],[f236,f1]) ).
fof(f268,plain,
( spl23_20
| spl23_21
| ~ spl23_16 ),
inference(avatar_split_clause,[],[f259,f228,f265,f261]) ).
fof(f228,plain,
( spl23_16
<=> ! [X5] :
( sP5(inverse(X5))
| sP6(multiply(sk_c10,multiply(X5,sk_c10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f259,plain,
( sP6(multiply(sk_c10,sk_c10))
| sP5(inverse(identity))
| ~ spl23_16 ),
inference(superposition,[],[f229,f1]) ).
fof(f229,plain,
( ! [X5] :
( sP6(multiply(sk_c10,multiply(X5,sk_c10)))
| sP5(inverse(X5)) )
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f257,plain,
( ~ spl23_3
| ~ spl23_4
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl23_3
| ~ spl23_4
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f255,f58]) ).
fof(f255,plain,
( sP8(sk_c10)
| ~ spl23_3
| ~ spl23_4
| ~ spl23_15 ),
inference(forward_demodulation,[],[f254,f248]) ).
fof(f254,plain,
( sP8(inverse(sk_c4))
| ~ spl23_4
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f252,f57]) ).
fof(f252,plain,
( sP7(sk_c10)
| sP8(inverse(sk_c4))
| ~ spl23_4
| ~ spl23_15 ),
inference(superposition,[],[f226,f247]) ).
fof(f251,plain,
( ~ spl23_17
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f249,f128,f231]) ).
fof(f231,plain,
( spl23_17
<=> sP4(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f249,plain,
( ~ sP4(sk_c9)
| ~ spl23_2 ),
inference(backward_demodulation,[],[f122,f130]) ).
fof(f122,plain,
~ sP4(sF9),
inference(definition_folding,[],[f54,f63]) ).
fof(f54,plain,
~ sP4(inverse(sk_c10)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f240,plain,
( spl23_15
| spl23_16
| spl23_17
| spl23_18
| spl23_19 ),
inference(avatar_split_clause,[],[f62,f238,f235,f231,f228,f225]) ).
fof(f62,plain,
! [X3,X6,X9,X7,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c9))
| sP3(inverse(X6))
| sP4(sk_c9)
| sP5(inverse(X5))
| sP6(multiply(sk_c10,multiply(X5,sk_c10)))
| sP7(multiply(X3,sk_c9))
| sP8(inverse(X3)) ),
inference(equality_resolution,[],[f61]) ).
fof(f61,plain,
! [X3,X6,X9,X7,X4,X5] :
( inverse(X7) != inverse(multiply(X9,inverse(X7)))
| inverse(X9) != multiply(X9,inverse(X7))
| sP0(multiply(inverse(X7),sk_c9))
| sP1(multiply(X7,inverse(X7)))
| sP2(multiply(X6,sk_c9))
| sP3(inverse(X6))
| sP4(sk_c9)
| sP5(inverse(X5))
| multiply(X5,sk_c10) != X4
| sP6(multiply(sk_c10,X4))
| sP7(multiply(X3,sk_c9))
| sP8(inverse(X3)) ),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( inverse(multiply(X9,X8)) != X8
| inverse(X9) != multiply(X9,X8)
| sP0(multiply(X8,sk_c9))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(multiply(X6,sk_c9))
| sP3(inverse(X6))
| sP4(sk_c9)
| sP5(inverse(X5))
| multiply(X5,sk_c10) != X4
| sP6(multiply(sk_c10,X4))
| sP7(multiply(X3,sk_c9))
| sP8(inverse(X3)) ),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sP0(multiply(X8,sk_c9))
| inverse(X7) != X8
| sP1(multiply(X7,X8))
| sP2(multiply(X6,sk_c9))
| sP3(inverse(X6))
| sP4(sk_c9)
| sP5(inverse(X5))
| multiply(X5,sk_c10) != X4
| sP6(multiply(sk_c10,X4))
| sP7(multiply(X3,sk_c9))
| sP8(inverse(X3)) ),
inference(inequality_splitting,[],[f49,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).
fof(f49,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( multiply(X9,X8) != X10
| inverse(X10) != X8
| inverse(X9) != X10
| sk_c10 != multiply(X8,sk_c9)
| inverse(X7) != X8
| sk_c10 != multiply(X7,X8)
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X5)
| multiply(X5,sk_c10) != X4
| sk_c9 != multiply(sk_c10,X4)
| sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_46) ).
fof(f223,plain,
( spl23_14
| spl23_10 ),
inference(avatar_split_clause,[],[f121,f168,f212]) ).
fof(f121,plain,
( sk_c6 = sF18
| sk_c10 = sF22 ),
inference(definition_folding,[],[f48,f112,f80]) ).
fof(f48,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_45) ).
fof(f222,plain,
( spl23_14
| spl23_9 ),
inference(avatar_split_clause,[],[f120,f163,f212]) ).
fof(f120,plain,
( sk_c8 = sF17
| sk_c10 = sF22 ),
inference(definition_folding,[],[f47,f112,f78]) ).
fof(f47,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_44) ).
fof(f220,plain,
( spl23_14
| spl23_7 ),
inference(avatar_split_clause,[],[f118,f153,f212]) ).
fof(f118,plain,
( sk_c10 = sF15
| sk_c10 = sF22 ),
inference(definition_folding,[],[f45,f112,f74]) ).
fof(f45,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_42) ).
fof(f219,plain,
( spl23_14
| spl23_6 ),
inference(avatar_split_clause,[],[f117,f148,f212]) ).
fof(f117,plain,
( sk_c8 = sF14
| sk_c10 = sF22 ),
inference(definition_folding,[],[f44,f112,f72]) ).
fof(f44,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_41) ).
fof(f218,plain,
( spl23_14
| spl23_5 ),
inference(avatar_split_clause,[],[f116,f143,f212]) ).
fof(f116,plain,
( sk_c10 = sF13
| sk_c10 = sF22 ),
inference(definition_folding,[],[f43,f112,f70]) ).
fof(f43,axiom,
( sk_c10 = multiply(sk_c5,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_40) ).
fof(f217,plain,
( spl23_14
| spl23_4 ),
inference(avatar_split_clause,[],[f115,f138,f212]) ).
fof(f115,plain,
( sk_c10 = sF12
| sk_c10 = sF22 ),
inference(definition_folding,[],[f42,f112,f68]) ).
fof(f42,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_39) ).
fof(f216,plain,
( spl23_14
| spl23_3 ),
inference(avatar_split_clause,[],[f114,f133,f212]) ).
fof(f114,plain,
( sk_c10 = sF11
| sk_c10 = sF22 ),
inference(definition_folding,[],[f41,f112,f66]) ).
fof(f41,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_38) ).
fof(f215,plain,
( spl23_14
| spl23_2 ),
inference(avatar_split_clause,[],[f113,f128,f212]) ).
fof(f113,plain,
( sk_c9 = sF9
| sk_c10 = sF22 ),
inference(definition_folding,[],[f40,f112,f63]) ).
fof(f40,axiom,
( inverse(sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_37) ).
fof(f210,plain,
( spl23_13
| spl23_10 ),
inference(avatar_split_clause,[],[f111,f168,f199]) ).
fof(f111,plain,
( sk_c6 = sF18
| sk_c3 = sF21 ),
inference(definition_folding,[],[f39,f102,f80]) ).
fof(f39,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_36) ).
fof(f209,plain,
( spl23_13
| spl23_9 ),
inference(avatar_split_clause,[],[f110,f163,f199]) ).
fof(f110,plain,
( sk_c8 = sF17
| sk_c3 = sF21 ),
inference(definition_folding,[],[f38,f102,f78]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_35) ).
fof(f207,plain,
( spl23_13
| spl23_7 ),
inference(avatar_split_clause,[],[f108,f153,f199]) ).
fof(f108,plain,
( sk_c10 = sF15
| sk_c3 = sF21 ),
inference(definition_folding,[],[f36,f102,f74]) ).
fof(f36,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_33) ).
fof(f206,plain,
( spl23_13
| spl23_6 ),
inference(avatar_split_clause,[],[f107,f148,f199]) ).
fof(f107,plain,
( sk_c8 = sF14
| sk_c3 = sF21 ),
inference(definition_folding,[],[f35,f102,f72]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_32) ).
fof(f205,plain,
( spl23_13
| spl23_5 ),
inference(avatar_split_clause,[],[f106,f143,f199]) ).
fof(f106,plain,
( sk_c10 = sF13
| sk_c3 = sF21 ),
inference(definition_folding,[],[f34,f102,f70]) ).
fof(f34,axiom,
( sk_c10 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_31) ).
fof(f204,plain,
( spl23_13
| spl23_4 ),
inference(avatar_split_clause,[],[f105,f138,f199]) ).
fof(f105,plain,
( sk_c10 = sF12
| sk_c3 = sF21 ),
inference(definition_folding,[],[f33,f102,f68]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_30) ).
fof(f203,plain,
( spl23_13
| spl23_3 ),
inference(avatar_split_clause,[],[f104,f133,f199]) ).
fof(f104,plain,
( sk_c10 = sF11
| sk_c3 = sF21 ),
inference(definition_folding,[],[f32,f102,f66]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_29) ).
fof(f202,plain,
( spl23_13
| spl23_2 ),
inference(avatar_split_clause,[],[f103,f128,f199]) ).
fof(f103,plain,
( sk_c9 = sF9
| sk_c3 = sF21 ),
inference(definition_folding,[],[f31,f102,f63]) ).
fof(f31,axiom,
( inverse(sk_c10) = sk_c9
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_28) ).
fof(f197,plain,
( spl23_12
| spl23_10 ),
inference(avatar_split_clause,[],[f101,f168,f186]) ).
fof(f101,plain,
( sk_c6 = sF18
| sk_c9 = sF20 ),
inference(definition_folding,[],[f30,f92,f80]) ).
fof(f30,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_27) ).
fof(f196,plain,
( spl23_12
| spl23_9 ),
inference(avatar_split_clause,[],[f100,f163,f186]) ).
fof(f100,plain,
( sk_c8 = sF17
| sk_c9 = sF20 ),
inference(definition_folding,[],[f29,f92,f78]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_26) ).
fof(f194,plain,
( spl23_12
| spl23_7 ),
inference(avatar_split_clause,[],[f98,f153,f186]) ).
fof(f98,plain,
( sk_c10 = sF15
| sk_c9 = sF20 ),
inference(definition_folding,[],[f27,f92,f74]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_24) ).
fof(f193,plain,
( spl23_12
| spl23_6 ),
inference(avatar_split_clause,[],[f97,f148,f186]) ).
fof(f97,plain,
( sk_c8 = sF14
| sk_c9 = sF20 ),
inference(definition_folding,[],[f26,f92,f72]) ).
fof(f26,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_23) ).
fof(f192,plain,
( spl23_12
| spl23_5 ),
inference(avatar_split_clause,[],[f96,f143,f186]) ).
fof(f96,plain,
( sk_c10 = sF13
| sk_c9 = sF20 ),
inference(definition_folding,[],[f25,f92,f70]) ).
fof(f25,axiom,
( sk_c10 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_22) ).
fof(f191,plain,
( spl23_12
| spl23_4 ),
inference(avatar_split_clause,[],[f95,f138,f186]) ).
fof(f95,plain,
( sk_c10 = sF12
| sk_c9 = sF20 ),
inference(definition_folding,[],[f24,f92,f68]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_21) ).
fof(f190,plain,
( spl23_12
| spl23_3 ),
inference(avatar_split_clause,[],[f94,f133,f186]) ).
fof(f94,plain,
( sk_c10 = sF11
| sk_c9 = sF20 ),
inference(definition_folding,[],[f23,f92,f66]) ).
fof(f23,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_20) ).
fof(f189,plain,
( spl23_12
| spl23_2 ),
inference(avatar_split_clause,[],[f93,f128,f186]) ).
fof(f93,plain,
( sk_c9 = sF9
| sk_c9 = sF20 ),
inference(definition_folding,[],[f22,f92,f63]) ).
fof(f22,axiom,
( inverse(sk_c10) = sk_c9
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_19) ).
fof(f183,plain,
( spl23_11
| spl23_9 ),
inference(avatar_split_clause,[],[f90,f163,f173]) ).
fof(f90,plain,
( sk_c8 = sF17
| sk_c10 = sF19 ),
inference(definition_folding,[],[f20,f82,f78]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_17) ).
fof(f181,plain,
( spl23_11
| spl23_7 ),
inference(avatar_split_clause,[],[f88,f153,f173]) ).
fof(f88,plain,
( sk_c10 = sF15
| sk_c10 = sF19 ),
inference(definition_folding,[],[f18,f82,f74]) ).
fof(f18,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_15) ).
fof(f180,plain,
( spl23_11
| spl23_6 ),
inference(avatar_split_clause,[],[f87,f148,f173]) ).
fof(f87,plain,
( sk_c8 = sF14
| sk_c10 = sF19 ),
inference(definition_folding,[],[f17,f82,f72]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_14) ).
fof(f179,plain,
( spl23_11
| spl23_5 ),
inference(avatar_split_clause,[],[f86,f143,f173]) ).
fof(f86,plain,
( sk_c10 = sF13
| sk_c10 = sF19 ),
inference(definition_folding,[],[f16,f82,f70]) ).
fof(f16,axiom,
( sk_c10 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_13) ).
fof(f178,plain,
( spl23_11
| spl23_4 ),
inference(avatar_split_clause,[],[f85,f138,f173]) ).
fof(f85,plain,
( sk_c10 = sF12
| sk_c10 = sF19 ),
inference(definition_folding,[],[f15,f82,f68]) ).
fof(f15,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_12) ).
fof(f177,plain,
( spl23_11
| spl23_3 ),
inference(avatar_split_clause,[],[f84,f133,f173]) ).
fof(f84,plain,
( sk_c10 = sF11
| sk_c10 = sF19 ),
inference(definition_folding,[],[f14,f82,f66]) ).
fof(f14,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_11) ).
fof(f176,plain,
( spl23_11
| spl23_2 ),
inference(avatar_split_clause,[],[f83,f128,f173]) ).
fof(f83,plain,
( sk_c9 = sF9
| sk_c10 = sF19 ),
inference(definition_folding,[],[f13,f82,f63]) ).
fof(f13,axiom,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_10) ).
fof(f171,plain,
( spl23_1
| spl23_10 ),
inference(avatar_split_clause,[],[f81,f168,f124]) ).
fof(f81,plain,
( sk_c6 = sF18
| sk_c10 = sF10 ),
inference(definition_folding,[],[f12,f64,f80]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_9) ).
fof(f166,plain,
( spl23_1
| spl23_9 ),
inference(avatar_split_clause,[],[f79,f163,f124]) ).
fof(f79,plain,
( sk_c8 = sF17
| sk_c10 = sF10 ),
inference(definition_folding,[],[f11,f64,f78]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c6)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_8) ).
fof(f156,plain,
( spl23_1
| spl23_7 ),
inference(avatar_split_clause,[],[f75,f153,f124]) ).
fof(f75,plain,
( sk_c10 = sF15
| sk_c10 = sF10 ),
inference(definition_folding,[],[f9,f64,f74]) ).
fof(f9,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_6) ).
fof(f151,plain,
( spl23_1
| spl23_6 ),
inference(avatar_split_clause,[],[f73,f148,f124]) ).
fof(f73,plain,
( sk_c8 = sF14
| sk_c10 = sF10 ),
inference(definition_folding,[],[f8,f64,f72]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_5) ).
fof(f146,plain,
( spl23_1
| spl23_5 ),
inference(avatar_split_clause,[],[f71,f143,f124]) ).
fof(f71,plain,
( sk_c10 = sF13
| sk_c10 = sF10 ),
inference(definition_folding,[],[f7,f64,f70]) ).
fof(f7,axiom,
( sk_c10 = multiply(sk_c5,sk_c8)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_4) ).
fof(f141,plain,
( spl23_1
| spl23_4 ),
inference(avatar_split_clause,[],[f69,f138,f124]) ).
fof(f69,plain,
( sk_c10 = sF12
| sk_c10 = sF10 ),
inference(definition_folding,[],[f6,f64,f68]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_3) ).
fof(f136,plain,
( spl23_1
| spl23_3 ),
inference(avatar_split_clause,[],[f67,f133,f124]) ).
fof(f67,plain,
( sk_c10 = sF11
| sk_c10 = sF10 ),
inference(definition_folding,[],[f5,f64,f66]) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c4)
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP228-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.32 % Computer : n029.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Apr 30 18:44:20 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.oCGE2dYEDd/Vampire---4.8_25624
% 0.18/0.59 % (25842)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2997ds/56Mi)
% 0.18/0.59 % (25837)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.18/0.59 % (25838)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.18/0.59 % (25836)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2997ds/51Mi)
% 0.18/0.59 % (25839)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2997ds/34Mi)
% 0.18/0.59 % (25840)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.18/0.59 % (25842)Refutation not found, incomplete strategy% (25842)------------------------------
% 0.18/0.59 % (25842)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.59 % (25841)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2997ds/83Mi)
% 0.18/0.59 % (25842)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.59
% 0.18/0.59 % (25842)Memory used [KB]: 1091
% 0.18/0.59 % (25842)Time elapsed: 0.002 s
% 0.18/0.59 % (25842)Instructions burned: 5 (million)
% 0.18/0.59 % (25842)------------------------------
% 0.18/0.59 % (25842)------------------------------
% 0.18/0.59 % (25839)Refutation not found, incomplete strategy% (25839)------------------------------
% 0.18/0.59 % (25839)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.59 % (25839)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.59 % (25838)Refutation not found, incomplete strategy% (25838)------------------------------
% 0.18/0.59 % (25838)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.59
% 0.18/0.59 % (25839)Memory used [KB]: 1109
% 0.18/0.59 % (25839)Time elapsed: 0.004 s
% 0.18/0.59 % (25839)Instructions burned: 5 (million)
% 0.18/0.59 % (25839)------------------------------
% 0.18/0.59 % (25839)------------------------------
% 0.18/0.59 % (25838)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.59
% 0.18/0.59 % (25838)Memory used [KB]: 1074
% 0.18/0.59 % (25838)Time elapsed: 0.004 s
% 0.18/0.59 % (25838)Instructions burned: 5 (million)
% 0.18/0.59 % (25838)------------------------------
% 0.18/0.59 % (25838)------------------------------
% 0.18/0.59 % (25835)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2997ds/34Mi)
% 0.18/0.59 % (25846)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2997ds/55Mi)
% 0.18/0.60 % (25835)Refutation not found, incomplete strategy% (25835)------------------------------
% 0.18/0.60 % (25835)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.60 % (25835)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.60
% 0.18/0.60 % (25835)Memory used [KB]: 1089
% 0.18/0.60 % (25835)Time elapsed: 0.004 s
% 0.18/0.60 % (25835)Instructions burned: 5 (million)
% 0.18/0.60 % (25835)------------------------------
% 0.18/0.60 % (25835)------------------------------
% 0.18/0.60 % (25848)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/208Mi)
% 0.18/0.60 % (25854)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2997ds/52Mi)
% 0.49/0.61 % (25846)Instruction limit reached!
% 0.49/0.61 % (25846)------------------------------
% 0.49/0.61 % (25846)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.49/0.61 % (25846)Termination reason: Unknown
% 0.49/0.61 % (25846)Termination phase: Saturation
% 0.49/0.61
% 0.49/0.61 % (25846)Memory used [KB]: 1630
% 0.49/0.61 % (25846)Time elapsed: 0.015 s
% 0.49/0.61 % (25846)Instructions burned: 56 (million)
% 0.49/0.61 % (25846)------------------------------
% 0.49/0.61 % (25846)------------------------------
% 0.49/0.61 % (25865)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2997ds/518Mi)
% 0.49/0.61 % (25847)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2997ds/50Mi)
% 0.49/0.61 % (25840)Instruction limit reached!
% 0.49/0.61 % (25840)------------------------------
% 0.49/0.61 % (25840)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.49/0.61 % (25840)Termination reason: Unknown
% 0.49/0.61 % (25840)Termination phase: Saturation
% 0.49/0.61
% 0.49/0.61 % (25840)Memory used [KB]: 1601
% 0.49/0.61 % (25840)Time elapsed: 0.025 s
% 0.49/0.61 % (25840)Instructions burned: 46 (million)
% 0.49/0.61 % (25840)------------------------------
% 0.49/0.61 % (25840)------------------------------
% 0.49/0.62 % (25847)Refutation not found, incomplete strategy% (25847)------------------------------
% 0.49/0.62 % (25847)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.49/0.62 % (25847)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.62
% 0.49/0.62 % (25847)Memory used [KB]: 1072
% 0.49/0.62 % (25847)Time elapsed: 0.005 s
% 0.49/0.62 % (25847)Instructions burned: 8 (million)
% 0.49/0.62 % (25847)------------------------------
% 0.49/0.62 % (25847)------------------------------
% 0.49/0.62 % (25866)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2997ds/42Mi)
% 0.49/0.62 % (25836)Instruction limit reached!
% 0.49/0.62 % (25836)------------------------------
% 0.49/0.62 % (25836)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.49/0.62 % (25836)Termination reason: Unknown
% 0.49/0.62 % (25836)Termination phase: Saturation
% 0.49/0.62
% 0.49/0.62 % (25836)Memory used [KB]: 1689
% 0.49/0.62 % (25836)Time elapsed: 0.030 s
% 0.49/0.62 % (25836)Instructions burned: 52 (million)
% 0.49/0.62 % (25836)------------------------------
% 0.49/0.62 % (25836)------------------------------
% 0.49/0.62 % (25866)Refutation not found, incomplete strategy% (25866)------------------------------
% 0.49/0.62 % (25866)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.49/0.62 % (25866)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.62
% 0.49/0.62 % (25866)Memory used [KB]: 1032
% 0.49/0.62 % (25866)Time elapsed: 0.004 s
% 0.49/0.62 % (25866)Instructions burned: 5 (million)
% 0.49/0.62 % (25866)------------------------------
% 0.49/0.62 % (25866)------------------------------
% 0.49/0.62 % (25867)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2997ds/243Mi)
% 0.49/0.62 % (25868)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2997ds/117Mi)
% 0.59/0.62 % (25870)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2997ds/143Mi)
% 0.59/0.62 % (25868)Refutation not found, incomplete strategy% (25868)------------------------------
% 0.59/0.62 % (25868)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.62 % (25868)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.62
% 0.59/0.62 % (25868)Memory used [KB]: 1028
% 0.59/0.62 % (25868)Time elapsed: 0.004 s
% 0.59/0.62 % (25868)Instructions burned: 5 (million)
% 0.59/0.62 % (25868)------------------------------
% 0.59/0.62 % (25868)------------------------------
% 0.59/0.62 % (25854)Instruction limit reached!
% 0.59/0.62 % (25854)------------------------------
% 0.59/0.62 % (25854)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.63 % (25854)Termination reason: Unknown
% 0.59/0.63 % (25854)Termination phase: Saturation
% 0.59/0.63
% 0.59/0.63 % (25854)Memory used [KB]: 1704
% 0.59/0.63 % (25854)Time elapsed: 0.026 s
% 0.59/0.63 % (25854)Instructions burned: 54 (million)
% 0.59/0.63 % (25854)------------------------------
% 0.59/0.63 % (25854)------------------------------
% 0.59/0.63 % (25870)Refutation not found, incomplete strategy% (25870)------------------------------
% 0.59/0.63 % (25870)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.63 % (25870)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.63
% 0.59/0.63 % (25870)Memory used [KB]: 1092
% 0.59/0.63 % (25870)Time elapsed: 0.004 s
% 0.59/0.63 % (25870)Instructions burned: 5 (million)
% 0.59/0.63 % (25870)------------------------------
% 0.59/0.63 % (25870)------------------------------
% 0.59/0.63 % (25837)Instruction limit reached!
% 0.59/0.63 % (25837)------------------------------
% 0.59/0.63 % (25837)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.63 % (25837)Termination reason: Unknown
% 0.59/0.63 % (25837)Termination phase: Saturation
% 0.59/0.63
% 0.59/0.63 % (25837)Memory used [KB]: 1927
% 0.59/0.63 % (25837)Time elapsed: 0.039 s
% 0.59/0.63 % (25837)Instructions burned: 80 (million)
% 0.59/0.63 % (25837)------------------------------
% 0.59/0.63 % (25837)------------------------------
% 0.59/0.63 % (25841)Instruction limit reached!
% 0.59/0.63 % (25841)------------------------------
% 0.59/0.63 % (25841)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.63 % (25841)Termination reason: Unknown
% 0.59/0.63 % (25841)Termination phase: Saturation
% 0.59/0.63
% 0.59/0.63 % (25841)Memory used [KB]: 1966
% 0.59/0.63 % (25841)Time elapsed: 0.040 s
% 0.59/0.63 % (25841)Instructions burned: 84 (million)
% 0.59/0.63 % (25841)------------------------------
% 0.59/0.63 % (25841)------------------------------
% 0.59/0.63 % (25873)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2997ds/93Mi)
% 0.59/0.63 % (25874)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2997ds/62Mi)
% 0.66/0.63 % (25876)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2997ds/32Mi)
% 0.66/0.63 % (25874)Refutation not found, incomplete strategy% (25874)------------------------------
% 0.66/0.63 % (25874)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.63 % (25874)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.63
% 0.66/0.63 % (25874)Memory used [KB]: 1028
% 0.66/0.63 % (25874)Time elapsed: 0.004 s
% 0.66/0.63 % (25874)Instructions burned: 4 (million)
% 0.66/0.63 % (25874)------------------------------
% 0.66/0.63 % (25874)------------------------------
% 0.66/0.63 % (25878)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2997ds/1919Mi)
% 0.66/0.63 % (25879)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2997ds/55Mi)
% 0.66/0.64 % (25879)Refutation not found, incomplete strategy% (25879)------------------------------
% 0.66/0.64 % (25879)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.64 % (25879)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.64
% 0.66/0.64 % (25882)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2997ds/53Mi)
% 0.66/0.64 % (25879)Memory used [KB]: 1124
% 0.66/0.64 % (25879)Time elapsed: 0.005 s
% 0.66/0.64 % (25879)Instructions burned: 7 (million)
% 0.66/0.64 % (25879)------------------------------
% 0.66/0.64 % (25879)------------------------------
% 0.66/0.64 % (25886)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2997ds/46Mi)
% 0.66/0.64 % (25886)Refutation not found, incomplete strategy% (25886)------------------------------
% 0.66/0.64 % (25886)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.64 % (25886)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.64
% 0.66/0.64 % (25886)Memory used [KB]: 1086
% 0.66/0.64 % (25886)Time elapsed: 0.004 s
% 0.66/0.64 % (25886)Instructions burned: 4 (million)
% 0.66/0.64 % (25886)------------------------------
% 0.66/0.64 % (25886)------------------------------
% 0.66/0.65 % (25876)Instruction limit reached!
% 0.66/0.65 % (25876)------------------------------
% 0.66/0.65 % (25876)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.65 % (25876)Termination reason: Unknown
% 0.66/0.65 % (25876)Termination phase: Saturation
% 0.66/0.65
% 0.66/0.65 % (25876)Memory used [KB]: 1453
% 0.66/0.65 % (25876)Time elapsed: 0.017 s
% 0.66/0.65 % (25876)Instructions burned: 32 (million)
% 0.66/0.65 % (25876)------------------------------
% 0.66/0.65 % (25876)------------------------------
% 0.66/0.65 % (25892)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.66/0.65 % (25894)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.66/0.66 % (25882)Refutation not found, incomplete strategy% (25882)------------------------------
% 0.66/0.66 % (25882)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.66 % (25882)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.66
% 0.66/0.66 % (25882)Memory used [KB]: 1132
% 0.66/0.66 % (25882)Time elapsed: 0.022 s
% 0.66/0.66 % (25882)Instructions burned: 48 (million)
% 0.66/0.66 % (25882)------------------------------
% 0.66/0.66 % (25882)------------------------------
% 0.66/0.66 % (25896)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.66/0.66 % (25894)Instruction limit reached!
% 0.66/0.66 % (25894)------------------------------
% 0.66/0.66 % (25894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.66 % (25894)Termination reason: Unknown
% 0.66/0.66 % (25894)Termination phase: Saturation
% 0.66/0.66
% 0.66/0.66 % (25894)Memory used [KB]: 1194
% 0.66/0.66 % (25894)Time elapsed: 0.014 s
% 0.66/0.66 % (25894)Instructions burned: 35 (million)
% 0.66/0.66 % (25894)------------------------------
% 0.66/0.66 % (25894)------------------------------
% 0.66/0.66 % (25873)Instruction limit reached!
% 0.66/0.66 % (25873)------------------------------
% 0.66/0.66 % (25873)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.67 % (25873)Termination reason: Unknown
% 0.66/0.67 % (25873)Termination phase: Saturation
% 0.66/0.67
% 0.66/0.67 % (25873)Memory used [KB]: 2286
% 0.66/0.67 % (25873)Time elapsed: 0.038 s
% 0.66/0.67 % (25873)Instructions burned: 95 (million)
% 0.66/0.67 % (25873)------------------------------
% 0.66/0.67 % (25873)------------------------------
% 0.66/0.67 % (25901)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2996ds/109Mi)
% 0.66/0.67 % (25902)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2996ds/161Mi)
% 0.66/0.67 % (25902)Refutation not found, incomplete strategy% (25902)------------------------------
% 0.66/0.67 % (25902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.67 % (25902)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.67
% 0.66/0.67 % (25902)Memory used [KB]: 996
% 0.66/0.67 % (25902)Time elapsed: 0.002 s
% 0.66/0.67 % (25902)Instructions burned: 5 (million)
% 0.66/0.67 % (25902)------------------------------
% 0.66/0.67 % (25902)------------------------------
% 0.66/0.67 % (25905)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2996ds/69Mi)
% 0.66/0.67 % (25905)Refutation not found, incomplete strategy% (25905)------------------------------
% 0.66/0.67 % (25905)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.67 % (25905)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.67
% 0.66/0.67 % (25905)Memory used [KB]: 1106
% 0.66/0.67 % (25905)Time elapsed: 0.002 s
% 0.66/0.67 % (25905)Instructions burned: 5 (million)
% 0.66/0.67 % (25905)------------------------------
% 0.66/0.67 % (25905)------------------------------
% 0.66/0.68 % (25848)Instruction limit reached!
% 0.66/0.68 % (25848)------------------------------
% 0.66/0.68 % (25848)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.68 % (25848)Termination reason: Unknown
% 0.66/0.68 % (25848)Termination phase: Saturation
% 0.66/0.68
% 0.66/0.68 % (25848)Memory used [KB]: 3220
% 0.66/0.68 % (25848)Time elapsed: 0.081 s
% 0.66/0.68 % (25848)Instructions burned: 211 (million)
% 0.66/0.68 % (25848)------------------------------
% 0.66/0.68 % (25848)------------------------------
% 0.66/0.68 % (25906)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2996ds/40Mi)
% 0.66/0.68 % (25908)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2996ds/360Mi)
% 0.66/0.68 % (25896)Instruction limit reached!
% 0.66/0.68 % (25896)------------------------------
% 0.66/0.68 % (25896)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.68 % (25896)Termination reason: Unknown
% 0.66/0.68 % (25896)Termination phase: Saturation
% 0.66/0.68
% 0.66/0.68 % (25896)Memory used [KB]: 1431
% 0.66/0.68 % (25896)Time elapsed: 0.022 s
% 0.66/0.68 % (25896)Instructions burned: 91 (million)
% 0.66/0.68 % (25896)------------------------------
% 0.66/0.68 % (25896)------------------------------
% 0.66/0.68 % (25892)Instruction limit reached!
% 0.66/0.68 % (25892)------------------------------
% 0.66/0.68 % (25892)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.68 % (25892)Termination reason: Unknown
% 0.66/0.68 % (25892)Termination phase: Saturation
% 0.66/0.68
% 0.66/0.68 % (25892)Memory used [KB]: 2267
% 0.66/0.68 % (25892)Time elapsed: 0.037 s
% 0.66/0.68 % (25892)Instructions burned: 103 (million)
% 0.66/0.68 % (25892)------------------------------
% 0.66/0.68 % (25892)------------------------------
% 0.66/0.68 % (25910)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2996ds/161Mi)
% 0.66/0.69 % (25912)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2996ds/80Mi)
% 0.66/0.69 % (25906)Instruction limit reached!
% 0.66/0.69 % (25906)------------------------------
% 0.66/0.69 % (25906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.69 % (25906)Termination reason: Unknown
% 0.66/0.69 % (25906)Termination phase: Saturation
% 0.66/0.69
% 0.66/0.69 % (25906)Memory used [KB]: 1569
% 0.66/0.69 % (25906)Time elapsed: 0.013 s
% 0.66/0.69 % (25906)Instructions burned: 40 (million)
% 0.66/0.69 % (25906)------------------------------
% 0.66/0.69 % (25906)------------------------------
% 0.66/0.69 % (25914)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2996ds/37Mi)
% 0.66/0.70 % (25901)Instruction limit reached!
% 0.66/0.70 % (25901)------------------------------
% 0.66/0.70 % (25901)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.70 % (25901)Termination reason: Unknown
% 0.66/0.70 % (25901)Termination phase: Saturation
% 0.66/0.70
% 0.66/0.70 % (25901)Memory used [KB]: 2420
% 0.66/0.70 % (25901)Time elapsed: 0.035 s
% 0.66/0.70 % (25901)Instructions burned: 110 (million)
% 0.66/0.70 % (25901)------------------------------
% 0.66/0.70 % (25901)------------------------------
% 0.66/0.70 % (25867)Instruction limit reached!
% 0.66/0.70 % (25867)------------------------------
% 0.66/0.70 % (25867)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.70 % (25867)Termination reason: Unknown
% 0.66/0.70 % (25867)Termination phase: Saturation
% 0.66/0.70
% 0.66/0.70 % (25867)Memory used [KB]: 2773
% 0.66/0.70 % (25867)Time elapsed: 0.082 s
% 0.66/0.70 % (25867)Instructions burned: 247 (million)
% 0.66/0.70 % (25867)------------------------------
% 0.66/0.70 % (25867)------------------------------
% 0.66/0.70 % (25914)Instruction limit reached!
% 0.66/0.70 % (25914)------------------------------
% 0.66/0.70 % (25914)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.70 % (25914)Termination reason: Unknown
% 0.66/0.70 % (25914)Termination phase: Saturation
% 0.66/0.70
% 0.66/0.70 % (25914)Memory used [KB]: 1583
% 0.66/0.70 % (25914)Time elapsed: 0.033 s
% 0.66/0.70 % (25914)Instructions burned: 37 (million)
% 0.66/0.70 % (25914)------------------------------
% 0.66/0.70 % (25914)------------------------------
% 0.66/0.70 % (25917)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2996ds/55Mi)
% 0.66/0.70 % (25912)Instruction limit reached!
% 0.66/0.70 % (25912)------------------------------
% 0.66/0.70 % (25912)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.70 % (25918)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2996ds/47Mi)
% 0.66/0.70 % (25919)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2996ds/32Mi)
% 0.66/0.70 % (25912)Termination reason: Unknown
% 0.66/0.70 % (25912)Termination phase: Saturation
% 0.66/0.70
% 0.66/0.70 % (25912)Memory used [KB]: 1319
% 0.66/0.70 % (25912)Time elapsed: 0.019 s
% 0.66/0.70 % (25912)Instructions burned: 81 (million)
% 0.66/0.70 % (25912)------------------------------
% 0.66/0.70 % (25912)------------------------------
% 1.11/0.70 % (25919)Refutation not found, incomplete strategy% (25919)------------------------------
% 1.11/0.70 % (25919)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.70 % (25919)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.70
% 1.11/0.70 % (25919)Memory used [KB]: 1092
% 1.11/0.70 % (25919)Time elapsed: 0.002 s
% 1.11/0.70 % (25919)Instructions burned: 5 (million)
% 1.11/0.70 % (25919)------------------------------
% 1.11/0.70 % (25919)------------------------------
% 1.11/0.70 % (25917)Refutation not found, incomplete strategy% (25917)------------------------------
% 1.11/0.70 % (25917)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.70 % (25917)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.70
% 1.11/0.70 % (25917)Memory used [KB]: 1107
% 1.11/0.70 % (25917)Time elapsed: 0.003 s
% 1.11/0.71 % (25917)Instructions burned: 9 (million)
% 1.11/0.71 % (25917)------------------------------
% 1.11/0.71 % (25917)------------------------------
% 1.11/0.71 % (25921)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2996ds/132Mi)
% 1.11/0.71 % (25921)Refutation not found, incomplete strategy% (25921)------------------------------
% 1.11/0.71 % (25921)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.71 % (25921)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.71
% 1.11/0.71 % (25921)Memory used [KB]: 972
% 1.11/0.71 % (25921)Time elapsed: 0.002 s
% 1.11/0.71 % (25921)Instructions burned: 6 (million)
% 1.11/0.71 % (25921)------------------------------
% 1.11/0.71 % (25921)------------------------------
% 1.11/0.71 % (25923)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2996ds/54Mi)
% 1.11/0.71 % (25924)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on Vampire---4 for (2996ds/82Mi)
% 1.11/0.71 % (25908)First to succeed.
% 1.11/0.71 % (25923)Refutation not found, incomplete strategy% (25923)------------------------------
% 1.11/0.71 % (25923)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.71 % (25923)Termination reason: Refutation not found, incomplete strategy
% 1.11/0.71
% 1.11/0.71 % (25923)Memory used [KB]: 1071
% 1.11/0.71 % (25923)Time elapsed: 0.025 s
% 1.11/0.71 % (25923)Instructions burned: 9 (million)
% 1.11/0.71 % (25923)------------------------------
% 1.11/0.71 % (25923)------------------------------
% 1.11/0.71 % (25927)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on Vampire---4 for (2996ds/119Mi)
% 1.11/0.71 % (25928)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on Vampire---4 for (2996ds/177Mi)
% 1.11/0.71 % (25908)Refutation found. Thanks to Tanya!
% 1.11/0.71 % SZS status Unsatisfiable for Vampire---4
% 1.11/0.71 % SZS output start Proof for Vampire---4
% See solution above
% 1.11/0.71 % (25908)------------------------------
% 1.11/0.71 % (25908)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.11/0.71 % (25908)Termination reason: Refutation
% 1.11/0.71
% 1.11/0.71 % (25908)Memory used [KB]: 1671
% 1.11/0.71 % (25908)Time elapsed: 0.034 s
% 1.11/0.71 % (25908)Instructions burned: 113 (million)
% 1.11/0.71 % (25908)------------------------------
% 1.11/0.71 % (25908)------------------------------
% 1.11/0.71 % (25731)Success in time 0.383 s
% 1.11/0.71 % Vampire---4.8 exiting
%------------------------------------------------------------------------------