TSTP Solution File: GRP377-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP377-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 : Sun May 5 05:47:36 EDT 2024
% Result : Unsatisfiable 0.97s 0.87s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 85
% Syntax : Number of formulae : 519 ( 37 unt; 0 def)
% Number of atoms : 2142 ( 482 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 3111 (1488 ~;1595 |; 0 &)
% ( 28 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 29 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 24 con; 0-2 aty)
% Number of variables : 166 ( 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3454,plain,
$false,
inference(avatar_sat_refutation,[],[f122,f127,f132,f137,f142,f147,f152,f162,f167,f172,f173,f174,f175,f176,f177,f178,f180,f181,f186,f187,f190,f191,f192,f195,f200,f202,f203,f204,f205,f206,f230,f411,f436,f464,f478,f563,f600,f1025,f1133,f1228,f1252,f1254,f1256,f1264,f1268,f1295,f1453,f1465,f1495,f1556,f1560,f1562,f1581,f1683,f1927,f1976,f2141,f2154,f3376,f3394,f3419,f3428,f3447]) ).
fof(f3447,plain,
( ~ spl24_12
| ~ spl24_13
| ~ spl24_27
| spl24_63
| ~ spl24_65 ),
inference(avatar_contradiction_clause,[],[f3446]) ).
fof(f3446,plain,
( $false
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27
| spl24_63
| ~ spl24_65 ),
inference(subsumption_resolution,[],[f3445,f1463]) ).
fof(f1463,plain,
( identity = sk_c10
| ~ spl24_65 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1462,plain,
( spl24_65
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_65])]) ).
fof(f3445,plain,
( identity != sk_c10
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27
| spl24_63 ),
inference(forward_demodulation,[],[f3444,f3348]) ).
fof(f3348,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(superposition,[],[f2703,f3024]) ).
fof(f3024,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(forward_demodulation,[],[f2991,f513]) ).
fof(f513,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f261,f261]) ).
fof(f261,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f250,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',left_identity) ).
fof(f250,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',associativity) ).
fof(f2991,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c10) = X0
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(superposition,[],[f261,f2703]) ).
fof(f2703,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(forward_demodulation,[],[f2080,f2158]) ).
fof(f2158,plain,
( sk_c10 = sk_c9
| ~ spl24_12
| ~ spl24_27 ),
inference(forward_demodulation,[],[f571,f171]) ).
fof(f171,plain,
( sk_c9 = sF21
| ~ spl24_12 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl24_12
<=> sk_c9 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).
fof(f571,plain,
( sk_c10 = sF21
| ~ spl24_27 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl24_27
<=> sk_c10 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_27])]) ).
fof(f2080,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f2,f2078]) ).
fof(f2078,plain,
( identity = sk_c9
| ~ spl24_12
| ~ spl24_13 ),
inference(forward_demodulation,[],[f2074,f2]) ).
fof(f2074,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl24_12
| ~ spl24_13 ),
inference(superposition,[],[f261,f1190]) ).
fof(f1190,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl24_12
| ~ spl24_13 ),
inference(forward_demodulation,[],[f1188,f649]) ).
fof(f649,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl24_13 ),
inference(backward_demodulation,[],[f90,f185]) ).
fof(f185,plain,
( sk_c10 = sF22
| ~ spl24_13 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl24_13
<=> sk_c10 = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).
fof(f90,plain,
inverse(sk_c1) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
fof(f1188,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c9)
| ~ spl24_12 ),
inference(superposition,[],[f261,f1164]) ).
fof(f1164,plain,
( sk_c9 = multiply(sk_c1,sk_c10)
| ~ spl24_12 ),
inference(forward_demodulation,[],[f79,f171]) ).
fof(f79,plain,
multiply(sk_c1,sk_c10) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f3444,plain,
( identity != inverse(sk_c10)
| ~ spl24_12
| ~ spl24_27
| spl24_63 ),
inference(forward_demodulation,[],[f1448,f2158]) ).
fof(f1448,plain,
( identity != inverse(sk_c9)
| spl24_63 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f1446,plain,
( spl24_63
<=> identity = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_63])]) ).
fof(f3428,plain,
( ~ spl24_12
| ~ spl24_13
| ~ spl24_27
| spl24_29 ),
inference(avatar_contradiction_clause,[],[f3427]) ).
fof(f3427,plain,
( $false
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27
| spl24_29 ),
inference(subsumption_resolution,[],[f3426,f3348]) ).
fof(f3426,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl24_13
| spl24_29 ),
inference(forward_demodulation,[],[f608,f185]) ).
fof(f608,plain,
( sF22 != inverse(sF22)
| spl24_29 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl24_29
<=> sF22 = inverse(sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_29])]) ).
fof(f3419,plain,
( ~ spl24_12
| ~ spl24_13
| ~ spl24_27
| spl24_64
| ~ spl24_65 ),
inference(avatar_contradiction_clause,[],[f3418]) ).
fof(f3418,plain,
( $false
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27
| spl24_64
| ~ spl24_65 ),
inference(subsumption_resolution,[],[f3417,f3348]) ).
fof(f3417,plain,
( sk_c10 != inverse(sk_c10)
| spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f1452,f1463]) ).
fof(f1452,plain,
( sk_c10 != inverse(identity)
| spl24_64 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1450,plain,
( spl24_64
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_64])]) ).
fof(f3394,plain,
( spl24_3
| ~ spl24_1
| ~ spl24_2
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(avatar_split_clause,[],[f3393,f570,f183,f169,f119,f115,f124]) ).
fof(f124,plain,
( spl24_3
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).
fof(f115,plain,
( spl24_1
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f119,plain,
( spl24_2
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f3393,plain,
( sk_c10 = sF12
| ~ spl24_1
| ~ spl24_2
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(forward_demodulation,[],[f3124,f3348]) ).
fof(f3124,plain,
( inverse(sk_c10) = sF12
| ~ spl24_1
| ~ spl24_2
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(backward_demodulation,[],[f61,f3123]) ).
fof(f3123,plain,
( sk_c10 = sk_c2
| ~ spl24_1
| ~ spl24_2
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(forward_demodulation,[],[f3121,f2754]) ).
fof(f2754,plain,
( ! [X0] : multiply(sF12,X0) = X0
| ~ spl24_1
| ~ spl24_2
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(backward_demodulation,[],[f2043,f2753]) ).
fof(f2753,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl24_1
| ~ spl24_2
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(forward_demodulation,[],[f2748,f2099]) ).
fof(f2099,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1180,f2079]) ).
fof(f2079,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1,f2078]) ).
fof(f1180,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
| ~ spl24_1 ),
inference(superposition,[],[f261,f1169]) ).
fof(f1169,plain,
( inverse(sk_c10) = sk_c9
| ~ spl24_1 ),
inference(forward_demodulation,[],[f59,f117]) ).
fof(f117,plain,
( sk_c9 = sF11
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f59,plain,
inverse(sk_c10) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f2748,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl24_2
| ~ spl24_12
| ~ spl24_27 ),
inference(superposition,[],[f3,f2736]) ).
fof(f2736,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl24_2
| ~ spl24_12
| ~ spl24_27 ),
inference(backward_demodulation,[],[f58,f2735]) ).
fof(f2735,plain,
( sk_c10 = sF10
| ~ spl24_2
| ~ spl24_12
| ~ spl24_27 ),
inference(forward_demodulation,[],[f121,f2158]) ).
fof(f121,plain,
( sk_c9 = sF10
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f58,plain,
multiply(sk_c2,sk_c10) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f2043,plain,
! [X0] : multiply(sF12,multiply(sk_c2,X0)) = X0,
inference(superposition,[],[f261,f61]) ).
fof(f3121,plain,
( sk_c10 = multiply(sF12,sk_c2)
| ~ spl24_12
| ~ spl24_13
| ~ spl24_27 ),
inference(superposition,[],[f2703,f61]) ).
fof(f61,plain,
inverse(sk_c2) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f3376,plain,
( ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14
| ~ spl24_19
| ~ spl24_27
| ~ spl24_29 ),
inference(avatar_contradiction_clause,[],[f3375]) ).
fof(f3375,plain,
( $false
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14
| ~ spl24_19
| ~ spl24_27
| ~ spl24_29 ),
inference(subsumption_resolution,[],[f3374,f2723]) ).
fof(f2723,plain,
( ~ sP2(sk_c10)
| ~ spl24_12
| ~ spl24_27 ),
inference(forward_demodulation,[],[f47,f2158]) ).
fof(f47,plain,
~ sP2(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f3374,plain,
( sP2(sk_c10)
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14
| ~ spl24_19
| ~ spl24_27
| ~ spl24_29 ),
inference(forward_demodulation,[],[f3363,f2277]) ).
fof(f2277,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl24_13
| ~ spl24_29 ),
inference(forward_demodulation,[],[f607,f185]) ).
fof(f607,plain,
( sF22 = inverse(sF22)
| ~ spl24_29 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f3363,plain,
( sP2(inverse(sk_c10))
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14
| ~ spl24_19
| ~ spl24_27 ),
inference(backward_demodulation,[],[f3120,f3344]) ).
fof(f3344,plain,
( sk_c10 = sk_c8
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14
| ~ spl24_27 ),
inference(superposition,[],[f3024,f2107]) ).
fof(f2107,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14 ),
inference(backward_demodulation,[],[f2096,f2099]) ).
fof(f2096,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,X0)
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14 ),
inference(backward_demodulation,[],[f799,f2079]) ).
fof(f799,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl24_14 ),
inference(forward_demodulation,[],[f254,f199]) ).
fof(f199,plain,
( sk_c10 = sF23
| ~ spl24_14 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl24_14
<=> sk_c10 = sF23 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_14])]) ).
fof(f254,plain,
! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = multiply(sF23,X0),
inference(superposition,[],[f3,f101]) ).
fof(f101,plain,
multiply(sk_c8,sk_c9) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
fof(f3120,plain,
( sP2(inverse(sk_c8))
| ~ spl24_12
| ~ spl24_13
| ~ spl24_19
| ~ spl24_27 ),
inference(resolution,[],[f3030,f48]) ).
fof(f48,plain,
~ sP3(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f3030,plain,
( ! [X5] :
( sP3(X5)
| sP2(inverse(X5)) )
| ~ spl24_12
| ~ spl24_13
| ~ spl24_19
| ~ spl24_27 ),
inference(backward_demodulation,[],[f2717,f3024]) ).
fof(f2717,plain,
( ! [X5] :
( sP3(multiply(X5,sk_c10))
| sP2(inverse(X5)) )
| ~ spl24_12
| ~ spl24_19
| ~ spl24_27 ),
inference(forward_demodulation,[],[f226,f2158]) ).
fof(f226,plain,
( ! [X5] :
( sP2(inverse(X5))
| sP3(multiply(X5,sk_c9)) )
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl24_19
<=> ! [X5] :
( sP2(inverse(X5))
| sP3(multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f2154,plain,
( ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| spl24_65 ),
inference(avatar_contradiction_clause,[],[f2153]) ).
fof(f2153,plain,
( $false
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| spl24_65 ),
inference(subsumption_resolution,[],[f2113,f2094]) ).
fof(f2094,plain,
( sk_c10 != sk_c9
| ~ spl24_12
| ~ spl24_13
| spl24_65 ),
inference(backward_demodulation,[],[f1464,f2078]) ).
fof(f1464,plain,
( identity != sk_c10
| spl24_65 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f2113,plain,
( sk_c10 = sk_c9
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1164,f2108]) ).
fof(f2108,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f2095,f2099]) ).
fof(f2095,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = X0
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1165,f2079]) ).
fof(f1165,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl24_12 ),
inference(forward_demodulation,[],[f258,f171]) ).
fof(f258,plain,
! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sF21,X0),
inference(superposition,[],[f3,f79]) ).
fof(f2141,plain,
( ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| spl24_27 ),
inference(avatar_contradiction_clause,[],[f2140]) ).
fof(f2140,plain,
( $false
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13
| spl24_27 ),
inference(subsumption_resolution,[],[f2139,f1994]) ).
fof(f1994,plain,
( sk_c10 != sk_c9
| ~ spl24_12
| spl24_27 ),
inference(backward_demodulation,[],[f572,f171]) ).
fof(f572,plain,
( sk_c10 != sF21
| spl24_27 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2139,plain,
( sk_c10 = sk_c9
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13 ),
inference(forward_demodulation,[],[f2092,f2080]) ).
fof(f2092,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c9)
| ~ spl24_1
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1443,f2078]) ).
fof(f1443,plain,
( sk_c10 = multiply(inverse(sk_c9),identity)
| ~ spl24_1 ),
inference(superposition,[],[f261,f1167]) ).
fof(f1167,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl24_1 ),
inference(forward_demodulation,[],[f241,f117]) ).
fof(f241,plain,
identity = multiply(sF11,sk_c10),
inference(superposition,[],[f2,f59]) ).
fof(f1976,plain,
( ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13
| ~ spl24_53 ),
inference(avatar_contradiction_clause,[],[f1975]) ).
fof(f1975,plain,
( $false
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13
| ~ spl24_53 ),
inference(subsumption_resolution,[],[f1974,f46]) ).
fof(f46,plain,
~ sP1(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1974,plain,
( sP1(sk_c10)
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13
| ~ spl24_53 ),
inference(forward_demodulation,[],[f1294,f1929]) ).
fof(f1929,plain,
( sk_c10 = sk_c9
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1190,f1918]) ).
fof(f1918,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1180,f1916]) ).
fof(f1916,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13 ),
inference(forward_demodulation,[],[f1914,f1180]) ).
fof(f1914,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1399,f1466]) ).
fof(f1466,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c9,X0)
| ~ spl24_1
| ~ spl24_3 ),
inference(forward_demodulation,[],[f1457,f1]) ).
fof(f1457,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl24_1
| ~ spl24_3 ),
inference(superposition,[],[f3,f1193]) ).
fof(f1193,plain,
( sk_c2 = multiply(sk_c9,identity)
| ~ spl24_1
| ~ spl24_3 ),
inference(forward_demodulation,[],[f1191,f1169]) ).
fof(f1191,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl24_3 ),
inference(superposition,[],[f261,f242]) ).
fof(f242,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl24_3 ),
inference(superposition,[],[f2,f239]) ).
fof(f239,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl24_3 ),
inference(backward_demodulation,[],[f61,f126]) ).
fof(f126,plain,
( sk_c10 = sF12
| ~ spl24_3 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f1399,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1165,f1394]) ).
fof(f1394,plain,
( sk_c2 = sk_c1
| ~ spl24_1
| ~ spl24_3
| ~ spl24_13 ),
inference(forward_demodulation,[],[f1393,f1193]) ).
fof(f1393,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl24_1
| ~ spl24_13 ),
inference(forward_demodulation,[],[f1388,f1169]) ).
fof(f1388,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl24_13 ),
inference(superposition,[],[f261,f677]) ).
fof(f677,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl24_13 ),
inference(forward_demodulation,[],[f247,f185]) ).
fof(f247,plain,
identity = multiply(sF22,sk_c1),
inference(superposition,[],[f2,f90]) ).
fof(f1294,plain,
( sP1(sk_c9)
| ~ spl24_53 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl24_53
<=> sP1(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_53])]) ).
fof(f1927,plain,
( ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13
| spl24_64 ),
inference(avatar_contradiction_clause,[],[f1926]) ).
fof(f1926,plain,
( $false
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13
| spl24_64 ),
inference(subsumption_resolution,[],[f1923,f1452]) ).
fof(f1923,plain,
( sk_c10 = inverse(identity)
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f239,f1917]) ).
fof(f1917,plain,
( identity = sk_c2
| ~ spl24_1
| ~ spl24_3
| ~ spl24_12
| ~ spl24_13 ),
inference(backward_demodulation,[],[f1193,f1916]) ).
fof(f1683,plain,
( spl24_52
| ~ spl24_1
| ~ spl24_20
| ~ spl24_64
| ~ spl24_65 ),
inference(avatar_split_clause,[],[f1682,f1462,f1450,f228,f115,f1289]) ).
fof(f1289,plain,
( spl24_52
<=> ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_52])]) ).
fof(f228,plain,
( spl24_20
<=> ! [X6,X8] :
( inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sP1(multiply(X6,inverse(X6)))
| sP0(multiply(inverse(X6),sk_c9))
| inverse(X8) != multiply(X8,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).
fof(f1682,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl24_1
| ~ spl24_20
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f1681,f1583]) ).
fof(f1583,plain,
( sk_c10 = sk_c9
| ~ spl24_1
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f1169,f1578]) ).
fof(f1578,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f1451,f1463]) ).
fof(f1451,plain,
( sk_c10 = inverse(identity)
| ~ spl24_64 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1681,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl24_1
| ~ spl24_20
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f1680,f1583]) ).
fof(f1680,plain,
( ! [X0] :
( sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl24_1
| ~ spl24_20
| ~ spl24_64
| ~ spl24_65 ),
inference(subsumption_resolution,[],[f1679,f46]) ).
fof(f1679,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl24_1
| ~ spl24_20
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f1678,f1583]) ).
fof(f1678,plain,
( ! [X0] :
( sP1(sk_c9)
| sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl24_1
| ~ spl24_20
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f1677,f1563]) ).
fof(f1563,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl24_65 ),
inference(backward_demodulation,[],[f1,f1463]) ).
fof(f1677,plain,
( ! [X0] :
( sP1(multiply(sk_c10,sk_c9))
| sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl24_1
| ~ spl24_20
| ~ spl24_64
| ~ spl24_65 ),
inference(subsumption_resolution,[],[f1676,f45]) ).
fof(f45,plain,
~ sP0(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1676,plain,
( ! [X0] :
( sP0(sk_c10)
| sP1(multiply(sk_c10,sk_c9))
| sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl24_1
| ~ spl24_20
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f1675,f1563]) ).
fof(f1675,plain,
( ! [X0] :
( sP0(multiply(sk_c10,sk_c10))
| sP1(multiply(sk_c10,sk_c9))
| sk_c9 != inverse(multiply(X0,sk_c9))
| inverse(X0) != multiply(X0,sk_c9) )
| ~ spl24_1
| ~ spl24_20
| ~ spl24_64
| ~ spl24_65 ),
inference(forward_demodulation,[],[f1269,f1583]) ).
fof(f1269,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) )
| ~ spl24_1
| ~ spl24_20 ),
inference(superposition,[],[f229,f1169]) ).
fof(f229,plain,
( ! [X8,X6] :
( sP0(multiply(inverse(X6),sk_c9))
| sP1(multiply(X6,inverse(X6)))
| inverse(X6) != inverse(multiply(X8,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6)) )
| ~ spl24_20 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f1581,plain,
( ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_53 ),
inference(avatar_contradiction_clause,[],[f1580]) ).
fof(f1580,plain,
( $false
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_53 ),
inference(subsumption_resolution,[],[f1579,f46]) ).
fof(f1579,plain,
( sP1(sk_c10)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_53 ),
inference(forward_demodulation,[],[f1294,f1524]) ).
fof(f1524,plain,
( sk_c10 = sk_c9
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(forward_demodulation,[],[f1471,f1473]) ).
fof(f1473,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(backward_demodulation,[],[f1180,f1472]) ).
fof(f1472,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(forward_demodulation,[],[f1468,f274]) ).
fof(f274,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl24_2
| ~ spl24_3 ),
inference(superposition,[],[f3,f271]) ).
fof(f271,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl24_2
| ~ spl24_3 ),
inference(superposition,[],[f262,f240]) ).
fof(f240,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl24_2 ),
inference(backward_demodulation,[],[f58,f121]) ).
fof(f262,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
| ~ spl24_3 ),
inference(forward_demodulation,[],[f251,f1]) ).
fof(f251,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl24_3 ),
inference(superposition,[],[f3,f242]) ).
fof(f1468,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl24_1
| ~ spl24_3 ),
inference(backward_demodulation,[],[f262,f1466]) ).
fof(f1471,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(backward_demodulation,[],[f240,f1466]) ).
fof(f1562,plain,
( ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| spl24_28 ),
inference(avatar_contradiction_clause,[],[f1561]) ).
fof(f1561,plain,
( $false
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| spl24_28 ),
inference(subsumption_resolution,[],[f1174,f1524]) ).
fof(f1174,plain,
( sk_c10 != sk_c9
| ~ spl24_1
| ~ spl24_13
| spl24_28 ),
inference(forward_demodulation,[],[f1173,f1169]) ).
fof(f1173,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl24_13
| spl24_28 ),
inference(forward_demodulation,[],[f604,f185]) ).
fof(f604,plain,
( inverse(sk_c10) != sF22
| spl24_28 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl24_28
<=> inverse(sk_c10) = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_28])]) ).
fof(f1560,plain,
( ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| spl24_29 ),
inference(avatar_contradiction_clause,[],[f1559]) ).
fof(f1559,plain,
( $false
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| spl24_29 ),
inference(subsumption_resolution,[],[f1176,f1524]) ).
fof(f1176,plain,
( sk_c10 != sk_c9
| ~ spl24_1
| ~ spl24_13
| spl24_29 ),
inference(forward_demodulation,[],[f1175,f1169]) ).
fof(f1175,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl24_13
| spl24_29 ),
inference(forward_demodulation,[],[f608,f185]) ).
fof(f1556,plain,
( spl24_65
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(avatar_split_clause,[],[f1555,f124,f119,f115,f1462]) ).
fof(f1555,plain,
( identity = sk_c10
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(forward_demodulation,[],[f1554,f1472]) ).
fof(f1554,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(forward_demodulation,[],[f1543,f1536]) ).
fof(f1536,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(backward_demodulation,[],[f1169,f1524]) ).
fof(f1543,plain,
( sk_c10 = multiply(inverse(sk_c10),identity)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(backward_demodulation,[],[f1443,f1524]) ).
fof(f1495,plain,
( spl24_64
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(avatar_split_clause,[],[f1488,f124,f119,f115,f1450]) ).
fof(f1488,plain,
( sk_c10 = inverse(identity)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(backward_demodulation,[],[f239,f1483]) ).
fof(f1483,plain,
( identity = sk_c2
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3 ),
inference(backward_demodulation,[],[f1193,f1473]) ).
fof(f1465,plain,
( ~ spl24_65
| ~ spl24_64
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_52 ),
inference(avatar_split_clause,[],[f1460,f1289,f124,f119,f115,f1450,f1462]) ).
fof(f1460,plain,
( sk_c10 != inverse(identity)
| identity != sk_c10
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_52 ),
inference(forward_demodulation,[],[f1459,f1167]) ).
fof(f1459,plain,
( identity != sk_c10
| sk_c10 != inverse(multiply(sk_c9,sk_c10))
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_52 ),
inference(forward_demodulation,[],[f1458,f239]) ).
fof(f1458,plain,
( identity != inverse(sk_c2)
| sk_c10 != inverse(multiply(sk_c9,sk_c10))
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_52 ),
inference(forward_demodulation,[],[f1455,f1167]) ).
fof(f1455,plain,
( inverse(sk_c2) != multiply(sk_c9,sk_c10)
| sk_c10 != inverse(multiply(sk_c9,sk_c10))
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_52 ),
inference(superposition,[],[f1382,f1193]) ).
fof(f1382,plain,
( ! [X0] :
( multiply(X0,sk_c10) != inverse(multiply(X0,identity))
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_52 ),
inference(forward_demodulation,[],[f1381,f271]) ).
fof(f1381,plain,
( ! [X0] :
( multiply(X0,sk_c10) != inverse(multiply(X0,identity))
| sk_c10 != inverse(multiply(X0,multiply(sk_c10,sk_c9))) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_52 ),
inference(forward_demodulation,[],[f1376,f271]) ).
fof(f1376,plain,
( ! [X0] :
( multiply(X0,multiply(sk_c10,sk_c9)) != inverse(multiply(X0,identity))
| sk_c10 != inverse(multiply(X0,multiply(sk_c10,sk_c9))) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_52 ),
inference(superposition,[],[f1351,f242]) ).
fof(f1351,plain,
( ! [X0,X1] :
( inverse(multiply(X0,multiply(X1,sk_c2))) != multiply(X0,multiply(X1,sk_c9))
| sk_c10 != inverse(multiply(X0,multiply(X1,sk_c9))) )
| ~ spl24_2
| ~ spl24_52 ),
inference(forward_demodulation,[],[f1350,f3]) ).
fof(f1350,plain,
( ! [X0,X1] :
( inverse(multiply(X0,multiply(X1,sk_c2))) != multiply(X0,multiply(X1,sk_c9))
| sk_c10 != inverse(multiply(multiply(X0,X1),sk_c9)) )
| ~ spl24_2
| ~ spl24_52 ),
inference(forward_demodulation,[],[f1348,f3]) ).
fof(f1348,plain,
( ! [X0,X1] :
( multiply(multiply(X0,X1),sk_c9) != inverse(multiply(X0,multiply(X1,sk_c2)))
| sk_c10 != inverse(multiply(multiply(X0,X1),sk_c9)) )
| ~ spl24_2
| ~ spl24_52 ),
inference(superposition,[],[f1342,f3]) ).
fof(f1342,plain,
( ! [X0] :
( multiply(X0,sk_c9) != inverse(multiply(X0,sk_c2))
| sk_c10 != inverse(multiply(X0,sk_c9)) )
| ~ spl24_2
| ~ spl24_52 ),
inference(superposition,[],[f1322,f240]) ).
fof(f1322,plain,
( ! [X0,X1] :
( sk_c10 != inverse(multiply(X0,multiply(X1,sk_c10)))
| inverse(multiply(X0,X1)) != multiply(X0,multiply(X1,sk_c10)) )
| ~ spl24_52 ),
inference(superposition,[],[f1290,f3]) ).
fof(f1290,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_52 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f1453,plain,
( ~ spl24_63
| ~ spl24_64
| ~ spl24_1
| ~ spl24_52 ),
inference(avatar_split_clause,[],[f1442,f1289,f115,f1450,f1446]) ).
fof(f1442,plain,
( sk_c10 != inverse(identity)
| identity != inverse(sk_c9)
| ~ spl24_1
| ~ spl24_52 ),
inference(superposition,[],[f1290,f1167]) ).
fof(f1295,plain,
( spl24_52
| spl24_53
| ~ spl24_2
| ~ spl24_3
| ~ spl24_20 ),
inference(avatar_split_clause,[],[f1287,f228,f124,f119,f1292,f1289]) ).
fof(f1287,plain,
( ! [X0] :
( sP1(sk_c9)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_20 ),
inference(forward_demodulation,[],[f1286,f240]) ).
fof(f1286,plain,
( ! [X0] :
( sP1(multiply(sk_c2,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_20 ),
inference(subsumption_resolution,[],[f1285,f45]) ).
fof(f1285,plain,
( ! [X0] :
( sP0(sk_c10)
| sP1(multiply(sk_c2,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_20 ),
inference(forward_demodulation,[],[f1270,f271]) ).
fof(f1270,plain,
( ! [X0] :
( sP0(multiply(sk_c10,sk_c9))
| sP1(multiply(sk_c2,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_3
| ~ spl24_20 ),
inference(superposition,[],[f229,f239]) ).
fof(f1268,plain,
( ~ spl24_12
| ~ spl24_13
| ~ spl24_18 ),
inference(avatar_contradiction_clause,[],[f1267]) ).
fof(f1267,plain,
( $false
| ~ spl24_12
| ~ spl24_13
| ~ spl24_18 ),
inference(subsumption_resolution,[],[f1266,f49]) ).
fof(f49,plain,
~ sP4(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1266,plain,
( sP4(sk_c10)
| ~ spl24_12
| ~ spl24_13
| ~ spl24_18 ),
inference(forward_demodulation,[],[f1265,f649]) ).
fof(f1265,plain,
( sP4(inverse(sk_c1))
| ~ spl24_12
| ~ spl24_18 ),
inference(subsumption_resolution,[],[f1260,f50]) ).
fof(f50,plain,
~ sP5(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1260,plain,
( sP5(sk_c9)
| sP4(inverse(sk_c1))
| ~ spl24_12
| ~ spl24_18 ),
inference(superposition,[],[f223,f1164]) ).
fof(f223,plain,
( ! [X4] :
( sP5(multiply(X4,sk_c10))
| sP4(inverse(X4)) )
| ~ spl24_18 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl24_18
<=> ! [X4] :
( sP4(inverse(X4))
| sP5(multiply(X4,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).
fof(f1264,plain,
( ~ spl24_2
| ~ spl24_3
| ~ spl24_18 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| ~ spl24_2
| ~ spl24_3
| ~ spl24_18 ),
inference(subsumption_resolution,[],[f1262,f49]) ).
fof(f1262,plain,
( sP4(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_18 ),
inference(forward_demodulation,[],[f1261,f239]) ).
fof(f1261,plain,
( sP4(inverse(sk_c2))
| ~ spl24_2
| ~ spl24_18 ),
inference(subsumption_resolution,[],[f1259,f50]) ).
fof(f1259,plain,
( sP5(sk_c9)
| sP4(inverse(sk_c2))
| ~ spl24_2
| ~ spl24_18 ),
inference(superposition,[],[f223,f240]) ).
fof(f1256,plain,
( ~ spl24_12
| ~ spl24_22 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1255,plain,
( $false
| ~ spl24_12
| ~ spl24_22 ),
inference(subsumption_resolution,[],[f53,f1253]) ).
fof(f1253,plain,
( sP8(sk_c9)
| ~ spl24_12
| ~ spl24_22 ),
inference(forward_demodulation,[],[f474,f171]) ).
fof(f474,plain,
( sP8(sF21)
| ~ spl24_22 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f472,plain,
( spl24_22
<=> sP8(sF21) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_22])]) ).
fof(f53,plain,
~ sP8(sk_c9),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1254,plain,
( ~ spl24_15
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f1166,f115,f211]) ).
fof(f211,plain,
( spl24_15
<=> sP9(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_15])]) ).
fof(f1166,plain,
( ~ sP9(sk_c9)
| ~ spl24_1 ),
inference(forward_demodulation,[],[f112,f117]) ).
fof(f112,plain,
~ sP9(sF11),
inference(definition_folding,[],[f54,f59]) ).
fof(f54,plain,
~ sP9(inverse(sk_c10)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1252,plain,
( ~ spl24_12
| ~ spl24_13
| ~ spl24_16 ),
inference(avatar_contradiction_clause,[],[f1251]) ).
fof(f1251,plain,
( $false
| ~ spl24_12
| ~ spl24_13
| ~ spl24_16 ),
inference(subsumption_resolution,[],[f53,f1248]) ).
fof(f1248,plain,
( sP8(sk_c9)
| ~ spl24_12
| ~ spl24_13
| ~ spl24_16 ),
inference(forward_demodulation,[],[f1247,f1164]) ).
fof(f1247,plain,
( sP8(multiply(sk_c1,sk_c10))
| ~ spl24_13
| ~ spl24_16 ),
inference(subsumption_resolution,[],[f1215,f52]) ).
fof(f52,plain,
~ sP7(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1215,plain,
( sP7(sk_c10)
| sP8(multiply(sk_c1,sk_c10))
| ~ spl24_13
| ~ spl24_16 ),
inference(superposition,[],[f216,f649]) ).
fof(f216,plain,
( ! [X3] :
( sP7(inverse(X3))
| sP8(multiply(X3,sk_c10)) )
| ~ spl24_16 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl24_16
<=> ! [X3] :
( sP7(inverse(X3))
| sP8(multiply(X3,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).
fof(f1228,plain,
( ~ spl24_2
| ~ spl24_3
| ~ spl24_12
| ~ spl24_16
| spl24_22 ),
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1227,plain,
( $false
| ~ spl24_2
| ~ spl24_3
| ~ spl24_12
| ~ spl24_16
| spl24_22 ),
inference(subsumption_resolution,[],[f1226,f1163]) ).
fof(f1163,plain,
( ~ sP8(sk_c9)
| ~ spl24_12
| spl24_22 ),
inference(backward_demodulation,[],[f473,f171]) ).
fof(f473,plain,
( ~ sP8(sF21)
| spl24_22 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f1226,plain,
( sP8(sk_c9)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_16 ),
inference(forward_demodulation,[],[f1225,f240]) ).
fof(f1225,plain,
( sP8(multiply(sk_c2,sk_c10))
| ~ spl24_3
| ~ spl24_16 ),
inference(subsumption_resolution,[],[f1212,f52]) ).
fof(f1212,plain,
( sP7(sk_c10)
| sP8(multiply(sk_c2,sk_c10))
| ~ spl24_3
| ~ spl24_16 ),
inference(superposition,[],[f216,f239]) ).
fof(f1133,plain,
( spl24_27
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| ~ spl24_28 ),
inference(avatar_split_clause,[],[f1132,f602,f183,f124,f119,f115,f570]) ).
fof(f1132,plain,
( sk_c10 = sF21
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| ~ spl24_28 ),
inference(backward_demodulation,[],[f1129,f1130]) ).
fof(f1130,plain,
( ! [X0] : multiply(sF21,X0) = X0
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| ~ spl24_28 ),
inference(forward_demodulation,[],[f1124,f1123]) ).
fof(f1123,plain,
( ! [X0] : multiply(sF21,X0) = multiply(sk_c1,X0)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| ~ spl24_28 ),
inference(backward_demodulation,[],[f258,f1114]) ).
fof(f1114,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| ~ spl24_28 ),
inference(backward_demodulation,[],[f1,f1113]) ).
fof(f1113,plain,
( identity = sk_c10
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| ~ spl24_28 ),
inference(forward_demodulation,[],[f1106,f1098]) ).
fof(f1098,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl24_13
| ~ spl24_28 ),
inference(backward_demodulation,[],[f241,f1097]) ).
fof(f1097,plain,
( sk_c10 = sF11
| ~ spl24_13
| ~ spl24_28 ),
inference(forward_demodulation,[],[f59,f1019]) ).
fof(f1019,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl24_13
| ~ spl24_28 ),
inference(forward_demodulation,[],[f603,f185]) ).
fof(f603,plain,
( inverse(sk_c10) = sF22
| ~ spl24_28 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1106,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| ~ spl24_28 ),
inference(backward_demodulation,[],[f271,f1101]) ).
fof(f1101,plain,
( sk_c10 = sk_c9
| ~ spl24_1
| ~ spl24_13
| ~ spl24_28 ),
inference(forward_demodulation,[],[f117,f1097]) ).
fof(f1124,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| ~ spl24_28 ),
inference(backward_demodulation,[],[f1041,f1114]) ).
fof(f1041,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl24_13 ),
inference(forward_demodulation,[],[f510,f185]) ).
fof(f510,plain,
! [X0] : multiply(sF22,multiply(sk_c1,X0)) = X0,
inference(superposition,[],[f261,f90]) ).
fof(f1129,plain,
( sF21 = multiply(sF21,sk_c10)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_13
| ~ spl24_28 ),
inference(backward_demodulation,[],[f79,f1123]) ).
fof(f1025,plain,
( ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_14
| ~ spl24_19 ),
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1024,plain,
( $false
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_14
| ~ spl24_19 ),
inference(subsumption_resolution,[],[f1023,f899]) ).
fof(f899,plain,
( ~ sP2(sk_c10)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f47,f891]) ).
fof(f891,plain,
( sk_c10 = sk_c9
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f117,f888]) ).
fof(f888,plain,
( sk_c10 = sF11
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f59,f881]) ).
fof(f881,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(superposition,[],[f773,f821]) ).
fof(f821,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f819,f513]) ).
fof(f819,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c10) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(superposition,[],[f261,f773]) ).
fof(f773,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f2,f772]) ).
fof(f772,plain,
( identity = sk_c10
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f713,f2]) ).
fof(f713,plain,
( sk_c10 = multiply(inverse(sF20),sF20)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(superposition,[],[f261,f711]) ).
fof(f711,plain,
( sF20 = multiply(sF20,sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f646,f710]) ).
fof(f710,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sF20,X0)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f708,f351]) ).
fof(f351,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f343,f350]) ).
fof(f350,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f328,f343]) ).
fof(f328,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl24_6
| ~ spl24_7 ),
inference(superposition,[],[f255,f266]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl24_7 ),
inference(forward_demodulation,[],[f265,f1]) ).
fof(f265,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl24_7 ),
inference(superposition,[],[f3,f244]) ).
fof(f244,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl24_7 ),
inference(superposition,[],[f2,f235]) ).
fof(f235,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl24_7 ),
inference(backward_demodulation,[],[f69,f146]) ).
fof(f146,plain,
( sk_c7 = sF16
| ~ spl24_7 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl24_7
<=> sk_c7 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_7])]) ).
fof(f69,plain,
inverse(sk_c4) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f255,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl24_6 ),
inference(superposition,[],[f3,f236]) ).
fof(f236,plain,
( sk_c10 = multiply(sk_c4,sk_c7)
| ~ spl24_6 ),
inference(backward_demodulation,[],[f67,f141]) ).
fof(f141,plain,
( sk_c10 = sF15
| ~ spl24_6 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl24_6
<=> sk_c10 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).
fof(f67,plain,
multiply(sk_c4,sk_c7) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f343,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f266,f330]) ).
fof(f330,plain,
( sk_c10 = sk_c7
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f327,f325]) ).
fof(f325,plain,
( sk_c7 = multiply(sk_c7,sk_c10)
| ~ spl24_6
| ~ spl24_7 ),
inference(superposition,[],[f266,f236]) ).
fof(f327,plain,
( sk_c10 = multiply(sk_c7,sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(superposition,[],[f266,f296]) ).
fof(f296,plain,
( sk_c10 = multiply(sk_c4,sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_8 ),
inference(forward_demodulation,[],[f292,f271]) ).
fof(f292,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c4,sk_c10)
| ~ spl24_6
| ~ spl24_8 ),
inference(superposition,[],[f255,f234]) ).
fof(f234,plain,
( sk_c10 = multiply(sk_c7,sk_c9)
| ~ spl24_8 ),
inference(backward_demodulation,[],[f71,f151]) ).
fof(f151,plain,
( sk_c10 = sF17
| ~ spl24_8 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl24_8
<=> sk_c10 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_8])]) ).
fof(f71,plain,
multiply(sk_c7,sk_c9) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f708,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c10,X0)) = multiply(sF20,X0)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(superposition,[],[f3,f646]) ).
fof(f646,plain,
( sF20 = multiply(sk_c6,sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f77,f330]) ).
fof(f77,plain,
multiply(sk_c6,sk_c7) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f1023,plain,
( sP2(sk_c10)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_14
| ~ spl24_19 ),
inference(forward_demodulation,[],[f1022,f881]) ).
fof(f1022,plain,
( sP2(inverse(sk_c10))
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_14
| ~ spl24_19 ),
inference(resolution,[],[f1021,f902]) ).
fof(f902,plain,
( ~ sP3(sk_c10)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_14 ),
inference(backward_demodulation,[],[f48,f901]) ).
fof(f901,plain,
( sk_c10 = sk_c8
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_14 ),
inference(forward_demodulation,[],[f900,f821]) ).
fof(f900,plain,
( sk_c10 = multiply(sk_c8,sk_c10)
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_14 ),
inference(forward_demodulation,[],[f802,f891]) ).
fof(f802,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl24_14 ),
inference(forward_demodulation,[],[f101,f199]) ).
fof(f1021,plain,
( ! [X5] :
( sP3(X5)
| sP2(inverse(X5)) )
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_19 ),
inference(forward_demodulation,[],[f1020,f821]) ).
fof(f1020,plain,
( ! [X5] :
( sP3(multiply(X5,sk_c10))
| sP2(inverse(X5)) )
| ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_19 ),
inference(forward_demodulation,[],[f226,f891]) ).
fof(f600,plain,
( ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_19 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f599,plain,
( $false
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_19 ),
inference(subsumption_resolution,[],[f598,f396]) ).
fof(f396,plain,
( ~ sP2(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f47,f395]) ).
fof(f395,plain,
( sk_c10 = sk_c9
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f393,f386]) ).
fof(f386,plain,
( sk_c9 = inverse(identity)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f237,f385]) ).
fof(f385,plain,
( identity = sk_c3
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f383,f380]) ).
fof(f380,plain,
( ! [X0] : multiply(sF23,X0) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f370,f367]) ).
fof(f367,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f354,f351]) ).
fof(f354,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f274,f351]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c9,multiply(sF23,X0)) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f318,f367]) ).
fof(f318,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sF23,X0))
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(backward_demodulation,[],[f288,f308]) ).
fof(f308,plain,
( sk_c8 = sF23
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_demodulation,[],[f307,f238]) ).
fof(f238,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| ~ spl24_4 ),
inference(backward_demodulation,[],[f63,f131]) ).
fof(f131,plain,
( sk_c8 = sF13
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl24_4
<=> sk_c8 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).
fof(f63,plain,
multiply(sk_c3,sk_c9) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f307,plain,
( multiply(sk_c3,sk_c9) = sF23
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4 ),
inference(forward_demodulation,[],[f305,f101]) ).
fof(f305,plain,
( multiply(sk_c3,sk_c9) = multiply(sk_c8,sk_c9)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4 ),
inference(superposition,[],[f253,f283]) ).
fof(f283,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl24_2
| ~ spl24_3 ),
inference(forward_demodulation,[],[f280,f240]) ).
fof(f280,plain,
( multiply(sk_c2,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl24_2
| ~ spl24_3 ),
inference(superposition,[],[f252,f271]) ).
fof(f252,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl24_2 ),
inference(superposition,[],[f3,f240]) ).
fof(f253,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl24_4 ),
inference(superposition,[],[f3,f238]) ).
fof(f288,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c8,X0))
| ~ spl24_4
| ~ spl24_5 ),
inference(superposition,[],[f264,f253]) ).
fof(f264,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
| ~ spl24_5 ),
inference(forward_demodulation,[],[f263,f1]) ).
fof(f263,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl24_5 ),
inference(superposition,[],[f3,f243]) ).
fof(f243,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl24_5 ),
inference(superposition,[],[f2,f237]) ).
fof(f383,plain,
( identity = multiply(sF23,sk_c3)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f378,f380]) ).
fof(f378,plain,
( multiply(sF23,sk_c3) = multiply(sF23,identity)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f316,f369]) ).
fof(f369,plain,
( ! [X0] : multiply(sF23,X0) = multiply(sk_c3,X0)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f313,f367]) ).
fof(f313,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = multiply(sF23,X0)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4 ),
inference(backward_demodulation,[],[f253,f308]) ).
fof(f316,plain,
( multiply(sk_c3,identity) = multiply(sF23,sk_c3)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(backward_demodulation,[],[f286,f308]) ).
fof(f286,plain,
( multiply(sk_c8,sk_c3) = multiply(sk_c3,identity)
| ~ spl24_4
| ~ spl24_5 ),
inference(superposition,[],[f253,f243]) ).
fof(f237,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl24_5 ),
inference(backward_demodulation,[],[f65,f136]) ).
fof(f136,plain,
( sk_c9 = sF14
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl24_5
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f65,plain,
inverse(sk_c3) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f393,plain,
( sk_c10 = inverse(identity)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f239,f392]) ).
fof(f392,plain,
( identity = sk_c2
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f372,f367]) ).
fof(f372,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f364,f367]) ).
fof(f364,plain,
( multiply(sk_c9,sk_c2) = multiply(sk_c9,identity)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f278,f352]) ).
fof(f352,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c9,X0)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f252,f351]) ).
fof(f278,plain,
( multiply(sk_c9,sk_c2) = multiply(sk_c2,identity)
| ~ spl24_2
| ~ spl24_3 ),
inference(superposition,[],[f252,f242]) ).
fof(f598,plain,
( sP2(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_19 ),
inference(forward_demodulation,[],[f597,f434]) ).
fof(f434,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(backward_demodulation,[],[f404,f428]) ).
fof(f428,plain,
( identity = sk_c10
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(forward_demodulation,[],[f425,f351]) ).
fof(f425,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(backward_demodulation,[],[f241,f424]) ).
fof(f424,plain,
( sk_c10 = sF11
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(forward_demodulation,[],[f422,f59]) ).
fof(f422,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(backward_demodulation,[],[f334,f417]) ).
fof(f417,plain,
( sk_c10 = sk_c5
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(backward_demodulation,[],[f413,f358]) ).
fof(f358,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10 ),
inference(backward_demodulation,[],[f344,f351]) ).
fof(f344,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c5,X0)) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10 ),
inference(backward_demodulation,[],[f270,f330]) ).
fof(f270,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl24_10 ),
inference(forward_demodulation,[],[f269,f1]) ).
fof(f269,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl24_10 ),
inference(superposition,[],[f3,f246]) ).
fof(f246,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl24_10 ),
inference(superposition,[],[f2,f232]) ).
fof(f232,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl24_10 ),
inference(backward_demodulation,[],[f75,f161]) ).
fof(f161,plain,
( sk_c7 = sF19
| ~ spl24_10 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl24_10
<=> sk_c7 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).
fof(f75,plain,
inverse(sk_c5) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f413,plain,
( sk_c5 = multiply(sk_c5,sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_11 ),
inference(backward_demodulation,[],[f333,f355]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,X0)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_11 ),
inference(backward_demodulation,[],[f342,f351]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c10,X0))
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_11 ),
inference(backward_demodulation,[],[f257,f330]) ).
fof(f257,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
| ~ spl24_11 ),
inference(superposition,[],[f3,f231]) ).
fof(f231,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl24_11 ),
inference(backward_demodulation,[],[f77,f166]) ).
fof(f166,plain,
( sk_c5 = sF20
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl24_11
<=> sk_c5 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
fof(f333,plain,
( sk_c5 = multiply(sk_c6,sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_11 ),
inference(backward_demodulation,[],[f231,f330]) ).
fof(f334,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10 ),
inference(backward_demodulation,[],[f232,f330]) ).
fof(f404,plain,
( sk_c10 = inverse(identity)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f386,f395]) ).
fof(f597,plain,
( sP2(inverse(sk_c10))
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_19 ),
inference(resolution,[],[f580,f406]) ).
fof(f406,plain,
( ~ sP3(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f389,f395]) ).
fof(f389,plain,
( ~ sP3(sk_c9)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f309,f384]) ).
fof(f384,plain,
( sk_c9 = sF23
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f310,f380]) ).
fof(f310,plain,
( sF23 = multiply(sF23,sk_c9)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4 ),
inference(backward_demodulation,[],[f101,f308]) ).
fof(f309,plain,
( ~ sP3(sF23)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4 ),
inference(backward_demodulation,[],[f48,f308]) ).
fof(f580,plain,
( ! [X5] :
( sP3(X5)
| sP2(inverse(X5)) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_19 ),
inference(forward_demodulation,[],[f579,f521]) ).
fof(f521,plain,
( ! [X0] : multiply(X0,sk_c10) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(backward_demodulation,[],[f512,f513]) ).
fof(f512,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c10) = X0
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(superposition,[],[f261,f430]) ).
fof(f430,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c10
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(backward_demodulation,[],[f2,f428]) ).
fof(f579,plain,
( ! [X5] :
( sP3(multiply(X5,sk_c10))
| sP2(inverse(X5)) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_19 ),
inference(forward_demodulation,[],[f226,f395]) ).
fof(f563,plain,
( ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f562,plain,
( $false
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(trivial_inequality_removal,[],[f561]) ).
fof(f561,plain,
( sk_c10 != sk_c10
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(duplicate_literal_removal,[],[f558]) ).
fof(f558,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(superposition,[],[f524,f434]) ).
fof(f524,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| inverse(X0) != X0 )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(forward_demodulation,[],[f522,f521]) ).
fof(f522,plain,
( ! [X0] :
( inverse(X0) != X0
| sk_c10 != inverse(multiply(X0,sk_c10)) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(backward_demodulation,[],[f489,f521]) ).
fof(f489,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(subsumption_resolution,[],[f488,f46]) ).
fof(f488,plain,
( ! [X0] :
( sP1(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(forward_demodulation,[],[f487,f351]) ).
fof(f487,plain,
( ! [X0] :
( sk_c10 != inverse(multiply(X0,sk_c10))
| sP1(multiply(sk_c10,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(subsumption_resolution,[],[f486,f45]) ).
fof(f486,plain,
( ! [X0] :
( sP0(sk_c10)
| sk_c10 != inverse(multiply(X0,sk_c10))
| sP1(multiply(sk_c10,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(forward_demodulation,[],[f483,f351]) ).
fof(f483,plain,
( ! [X0] :
( sP0(multiply(sk_c10,sk_c10))
| sk_c10 != inverse(multiply(X0,sk_c10))
| sP1(multiply(sk_c10,sk_c10))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_20 ),
inference(superposition,[],[f479,f434]) ).
fof(f479,plain,
( ! [X8,X6] :
( sP0(multiply(inverse(X6),sk_c10))
| inverse(X6) != inverse(multiply(X8,inverse(X6)))
| sP1(multiply(X6,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6)) )
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_20 ),
inference(forward_demodulation,[],[f229,f395]) ).
fof(f478,plain,
( ~ spl24_14
| ~ spl24_17 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl24_14
| ~ spl24_17 ),
inference(subsumption_resolution,[],[f476,f51]) ).
fof(f51,plain,
~ sP6(sk_c10),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f476,plain,
( sP6(sk_c10)
| ~ spl24_14
| ~ spl24_17 ),
inference(forward_demodulation,[],[f220,f199]) ).
fof(f220,plain,
( sP6(sF23)
| ~ spl24_17 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl24_17
<=> sP6(sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).
fof(f464,plain,
( ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_16 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f463,plain,
( $false
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_16 ),
inference(subsumption_resolution,[],[f462,f398]) ).
fof(f398,plain,
( ~ sP8(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f53,f395]) ).
fof(f462,plain,
( sP8(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_16 ),
inference(forward_demodulation,[],[f461,f351]) ).
fof(f461,plain,
( sP8(multiply(sk_c10,sk_c10))
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_16 ),
inference(subsumption_resolution,[],[f459,f52]) ).
fof(f459,plain,
( sP7(sk_c10)
| sP8(multiply(sk_c10,sk_c10))
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_16 ),
inference(superposition,[],[f216,f434]) ).
fof(f436,plain,
( ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_15 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11
| ~ spl24_15 ),
inference(subsumption_resolution,[],[f426,f401]) ).
fof(f401,plain,
( sP9(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_15 ),
inference(backward_demodulation,[],[f213,f395]) ).
fof(f213,plain,
( sP9(sk_c9)
| ~ spl24_15 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f426,plain,
( ~ sP9(sk_c10)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8
| ~ spl24_10
| ~ spl24_11 ),
inference(backward_demodulation,[],[f112,f424]) ).
fof(f411,plain,
( spl24_14
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(avatar_split_clause,[],[f410,f149,f144,f139,f134,f129,f124,f119,f197]) ).
fof(f410,plain,
( sk_c10 = sF23
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(forward_demodulation,[],[f376,f395]) ).
fof(f376,plain,
( sk_c9 = sF23
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5
| ~ spl24_6
| ~ spl24_7
| ~ spl24_8 ),
inference(backward_demodulation,[],[f315,f367]) ).
fof(f315,plain,
( sk_c9 = multiply(sk_c9,sF23)
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4
| ~ spl24_5 ),
inference(backward_demodulation,[],[f275,f308]) ).
fof(f275,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl24_4
| ~ spl24_5 ),
inference(superposition,[],[f264,f238]) ).
fof(f230,plain,
( spl24_15
| spl24_16
| spl24_17
| spl24_18
| spl24_19
| spl24_20 ),
inference(avatar_split_clause,[],[f113,f228,f225,f222,f218,f215,f211]) ).
fof(f113,plain,
! [X3,X8,X6,X4,X5] :
( inverse(X6) != inverse(multiply(X8,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6))
| sP0(multiply(inverse(X6),sk_c9))
| sP1(multiply(X6,inverse(X6)))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c9))
| sP4(inverse(X4))
| sP5(multiply(X4,sk_c10))
| sP6(sF23)
| sP7(inverse(X3))
| sP8(multiply(X3,sk_c10))
| sP9(sk_c9) ),
inference(definition_folding,[],[f57,f101]) ).
fof(f57,plain,
! [X3,X8,X6,X4,X5] :
( inverse(X6) != inverse(multiply(X8,inverse(X6)))
| inverse(X8) != multiply(X8,inverse(X6))
| sP0(multiply(inverse(X6),sk_c9))
| sP1(multiply(X6,inverse(X6)))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c9))
| sP4(inverse(X4))
| sP5(multiply(X4,sk_c10))
| sP6(multiply(sk_c8,sk_c9))
| sP7(inverse(X3))
| sP8(multiply(X3,sk_c10))
| sP9(sk_c9) ),
inference(equality_resolution,[],[f56]) ).
fof(f56,plain,
! [X3,X8,X6,X7,X4,X5] :
( inverse(multiply(X8,X7)) != X7
| inverse(X8) != multiply(X8,X7)
| sP0(multiply(X7,sk_c9))
| inverse(X6) != X7
| sP1(multiply(X6,X7))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c9))
| sP4(inverse(X4))
| sP5(multiply(X4,sk_c10))
| sP6(multiply(sk_c8,sk_c9))
| sP7(inverse(X3))
| sP8(multiply(X3,sk_c10))
| sP9(sk_c9) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( multiply(X8,X7) != X9
| inverse(X9) != X7
| inverse(X8) != X9
| sP0(multiply(X7,sk_c9))
| inverse(X6) != X7
| sP1(multiply(X6,X7))
| sP2(inverse(X5))
| sP3(multiply(X5,sk_c9))
| sP4(inverse(X4))
| sP5(multiply(X4,sk_c10))
| sP6(multiply(sk_c8,sk_c9))
| sP7(inverse(X3))
| sP8(multiply(X3,sk_c10))
| sP9(sk_c9) ),
inference(inequality_splitting,[],[f44,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45]) ).
fof(f44,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( multiply(X8,X7) != X9
| inverse(X9) != X7
| inverse(X8) != X9
| sk_c10 != multiply(X7,sk_c9)
| inverse(X6) != X7
| sk_c10 != multiply(X6,X7)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9)
| sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != multiply(sk_c8,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| inverse(sk_c10) != sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_41) ).
fof(f206,plain,
( spl24_14
| spl24_8 ),
inference(avatar_split_clause,[],[f108,f149,f197]) ).
fof(f108,plain,
( sk_c10 = sF17
| sk_c10 = sF23 ),
inference(definition_folding,[],[f40,f101,f71]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_37) ).
fof(f205,plain,
( spl24_14
| spl24_7 ),
inference(avatar_split_clause,[],[f107,f144,f197]) ).
fof(f107,plain,
( sk_c7 = sF16
| sk_c10 = sF23 ),
inference(definition_folding,[],[f39,f101,f69]) ).
fof(f39,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_36) ).
fof(f204,plain,
( spl24_14
| spl24_6 ),
inference(avatar_split_clause,[],[f106,f139,f197]) ).
fof(f106,plain,
( sk_c10 = sF15
| sk_c10 = sF23 ),
inference(definition_folding,[],[f38,f101,f67]) ).
fof(f38,axiom,
( sk_c10 = multiply(sk_c4,sk_c7)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_35) ).
fof(f203,plain,
( spl24_14
| spl24_5 ),
inference(avatar_split_clause,[],[f105,f134,f197]) ).
fof(f105,plain,
( sk_c9 = sF14
| sk_c10 = sF23 ),
inference(definition_folding,[],[f37,f101,f65]) ).
fof(f37,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_34) ).
fof(f202,plain,
( spl24_14
| spl24_4 ),
inference(avatar_split_clause,[],[f104,f129,f197]) ).
fof(f104,plain,
( sk_c8 = sF13
| sk_c10 = sF23 ),
inference(definition_folding,[],[f36,f101,f63]) ).
fof(f36,axiom,
( multiply(sk_c3,sk_c9) = sk_c8
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_33) ).
fof(f200,plain,
( spl24_14
| spl24_2 ),
inference(avatar_split_clause,[],[f102,f119,f197]) ).
fof(f102,plain,
( sk_c9 = sF10
| sk_c10 = sF23 ),
inference(definition_folding,[],[f34,f101,f58]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_31) ).
fof(f195,plain,
( spl24_13
| spl24_11 ),
inference(avatar_split_clause,[],[f100,f164,f183]) ).
fof(f100,plain,
( sk_c5 = sF20
| sk_c10 = sF22 ),
inference(definition_folding,[],[f33,f90,f77]) ).
fof(f33,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_30) ).
fof(f192,plain,
( spl24_13
| spl24_8 ),
inference(avatar_split_clause,[],[f97,f149,f183]) ).
fof(f97,plain,
( sk_c10 = sF17
| sk_c10 = sF22 ),
inference(definition_folding,[],[f30,f90,f71]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_27) ).
fof(f191,plain,
( spl24_13
| spl24_7 ),
inference(avatar_split_clause,[],[f96,f144,f183]) ).
fof(f96,plain,
( sk_c7 = sF16
| sk_c10 = sF22 ),
inference(definition_folding,[],[f29,f90,f69]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_26) ).
fof(f190,plain,
( spl24_13
| spl24_6 ),
inference(avatar_split_clause,[],[f95,f139,f183]) ).
fof(f95,plain,
( sk_c10 = sF15
| sk_c10 = sF22 ),
inference(definition_folding,[],[f28,f90,f67]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c4,sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_25) ).
fof(f187,plain,
( spl24_13
| spl24_3 ),
inference(avatar_split_clause,[],[f92,f124,f183]) ).
fof(f92,plain,
( sk_c10 = sF12
| sk_c10 = sF22 ),
inference(definition_folding,[],[f25,f90,f61]) ).
fof(f25,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_22) ).
fof(f186,plain,
( spl24_13
| spl24_2 ),
inference(avatar_split_clause,[],[f91,f119,f183]) ).
fof(f91,plain,
( sk_c9 = sF10
| sk_c10 = sF22 ),
inference(definition_folding,[],[f24,f90,f58]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_21) ).
fof(f181,plain,
( spl24_12
| spl24_11 ),
inference(avatar_split_clause,[],[f89,f164,f169]) ).
fof(f89,plain,
( sk_c5 = sF20
| sk_c9 = sF21 ),
inference(definition_folding,[],[f23,f79,f77]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c9 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_20) ).
fof(f180,plain,
( spl24_12
| spl24_10 ),
inference(avatar_split_clause,[],[f88,f159,f169]) ).
fof(f88,plain,
( sk_c7 = sF19
| sk_c9 = sF21 ),
inference(definition_folding,[],[f22,f79,f75]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c9 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_19) ).
fof(f178,plain,
( spl24_12
| spl24_8 ),
inference(avatar_split_clause,[],[f86,f149,f169]) ).
fof(f86,plain,
( sk_c10 = sF17
| sk_c9 = sF21 ),
inference(definition_folding,[],[f20,f79,f71]) ).
fof(f20,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_17) ).
fof(f177,plain,
( spl24_12
| spl24_7 ),
inference(avatar_split_clause,[],[f85,f144,f169]) ).
fof(f85,plain,
( sk_c7 = sF16
| sk_c9 = sF21 ),
inference(definition_folding,[],[f19,f79,f69]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c9 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_16) ).
fof(f176,plain,
( spl24_12
| spl24_6 ),
inference(avatar_split_clause,[],[f84,f139,f169]) ).
fof(f84,plain,
( sk_c10 = sF15
| sk_c9 = sF21 ),
inference(definition_folding,[],[f18,f79,f67]) ).
fof(f18,axiom,
( sk_c10 = multiply(sk_c4,sk_c7)
| sk_c9 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_15) ).
fof(f175,plain,
( spl24_12
| spl24_5 ),
inference(avatar_split_clause,[],[f83,f134,f169]) ).
fof(f83,plain,
( sk_c9 = sF14
| sk_c9 = sF21 ),
inference(definition_folding,[],[f17,f79,f65]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_14) ).
fof(f174,plain,
( spl24_12
| spl24_4 ),
inference(avatar_split_clause,[],[f82,f129,f169]) ).
fof(f82,plain,
( sk_c8 = sF13
| sk_c9 = sF21 ),
inference(definition_folding,[],[f16,f79,f63]) ).
fof(f16,axiom,
( multiply(sk_c3,sk_c9) = sk_c8
| sk_c9 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_13) ).
fof(f173,plain,
( spl24_12
| spl24_3 ),
inference(avatar_split_clause,[],[f81,f124,f169]) ).
fof(f81,plain,
( sk_c10 = sF12
| sk_c9 = sF21 ),
inference(definition_folding,[],[f15,f79,f61]) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_12) ).
fof(f172,plain,
( spl24_12
| spl24_2 ),
inference(avatar_split_clause,[],[f80,f119,f169]) ).
fof(f80,plain,
( sk_c9 = sF10
| sk_c9 = sF21 ),
inference(definition_folding,[],[f14,f79,f58]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_11) ).
fof(f167,plain,
( spl24_1
| spl24_11 ),
inference(avatar_split_clause,[],[f78,f164,f115]) ).
fof(f78,plain,
( sk_c5 = sF20
| sk_c9 = sF11 ),
inference(definition_folding,[],[f13,f59,f77]) ).
fof(f13,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_10) ).
fof(f162,plain,
( spl24_1
| spl24_10 ),
inference(avatar_split_clause,[],[f76,f159,f115]) ).
fof(f76,plain,
( sk_c7 = sF19
| sk_c9 = sF11 ),
inference(definition_folding,[],[f12,f59,f75]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_9) ).
fof(f152,plain,
( spl24_1
| spl24_8 ),
inference(avatar_split_clause,[],[f72,f149,f115]) ).
fof(f72,plain,
( sk_c10 = sF17
| sk_c9 = sF11 ),
inference(definition_folding,[],[f10,f59,f71]) ).
fof(f10,axiom,
( sk_c10 = multiply(sk_c7,sk_c9)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_7) ).
fof(f147,plain,
( spl24_1
| spl24_7 ),
inference(avatar_split_clause,[],[f70,f144,f115]) ).
fof(f70,plain,
( sk_c7 = sF16
| sk_c9 = sF11 ),
inference(definition_folding,[],[f9,f59,f69]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_6) ).
fof(f142,plain,
( spl24_1
| spl24_6 ),
inference(avatar_split_clause,[],[f68,f139,f115]) ).
fof(f68,plain,
( sk_c10 = sF15
| sk_c9 = sF11 ),
inference(definition_folding,[],[f8,f59,f67]) ).
fof(f8,axiom,
( sk_c10 = multiply(sk_c4,sk_c7)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_5) ).
fof(f137,plain,
( spl24_1
| spl24_5 ),
inference(avatar_split_clause,[],[f66,f134,f115]) ).
fof(f66,plain,
( sk_c9 = sF14
| sk_c9 = sF11 ),
inference(definition_folding,[],[f7,f59,f65]) ).
fof(f7,axiom,
( sk_c9 = inverse(sk_c3)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_4) ).
fof(f132,plain,
( spl24_1
| spl24_4 ),
inference(avatar_split_clause,[],[f64,f129,f115]) ).
fof(f64,plain,
( sk_c8 = sF13
| sk_c9 = sF11 ),
inference(definition_folding,[],[f6,f59,f63]) ).
fof(f6,axiom,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_3) ).
fof(f127,plain,
( spl24_1
| spl24_3 ),
inference(avatar_split_clause,[],[f62,f124,f115]) ).
fof(f62,plain,
( sk_c10 = sF12
| sk_c9 = sF11 ),
inference(definition_folding,[],[f5,f59,f61]) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c2)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_2) ).
fof(f122,plain,
( spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f60,f119,f115]) ).
fof(f60,plain,
( sk_c9 = sF10
| sk_c9 = sF11 ),
inference(definition_folding,[],[f4,f59,f58]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP377-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:39:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.W6ZFBuTnjd/Vampire---4.8_6827
% 0.54/0.76 % (7143)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 (2996ds/56Mi)
% 0.54/0.76 % (7136)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 (2996ds/34Mi)
% 0.54/0.76 % (7138)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76 % (7139)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.76 % (7140)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 (2996ds/34Mi)
% 0.54/0.76 % (7137)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 (2996ds/51Mi)
% 0.54/0.76 % (7141)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.76 % (7142)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 (2996ds/83Mi)
% 0.54/0.76 % (7143)Refutation not found, incomplete strategy% (7143)------------------------------
% 0.54/0.76 % (7143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (7143)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (7143)Memory used [KB]: 1000
% 0.54/0.76 % (7143)Time elapsed: 0.002 s
% 0.54/0.76 % (7143)Instructions burned: 4 (million)
% 0.54/0.77 % (7143)------------------------------
% 0.54/0.77 % (7143)------------------------------
% 0.54/0.77 % (7136)Refutation not found, incomplete strategy% (7136)------------------------------
% 0.54/0.77 % (7136)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77 % (7136)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77 % (7139)Refutation not found, incomplete strategy% (7139)------------------------------
% 0.54/0.77 % (7139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77
% 0.54/0.77 % (7136)Memory used [KB]: 1014
% 0.54/0.77 % (7136)Time elapsed: 0.004 s
% 0.54/0.77 % (7136)Instructions burned: 4 (million)
% 0.54/0.77 % (7139)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77
% 0.54/0.77 % (7139)Memory used [KB]: 997
% 0.54/0.77 % (7139)Time elapsed: 0.004 s
% 0.54/0.77 % (7139)Instructions burned: 4 (million)
% 0.59/0.77 % (7140)Refutation not found, incomplete strategy% (7140)------------------------------
% 0.59/0.77 % (7140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (7136)------------------------------
% 0.59/0.77 % (7136)------------------------------
% 0.59/0.77 % (7140)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (7140)Memory used [KB]: 1080
% 0.59/0.77 % (7140)Time elapsed: 0.004 s
% 0.59/0.77 % (7140)Instructions burned: 5 (million)
% 0.59/0.77 % (7139)------------------------------
% 0.59/0.77 % (7139)------------------------------
% 0.59/0.77 % (7140)------------------------------
% 0.59/0.77 % (7140)------------------------------
% 0.59/0.77 % (7147)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 (2996ds/55Mi)
% 0.59/0.77 % (7138)Refutation not found, incomplete strategy% (7138)------------------------------
% 0.59/0.77 % (7138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (7138)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (7138)Memory used [KB]: 1073
% 0.59/0.77 % (7138)Time elapsed: 0.005 s
% 0.59/0.77 % (7138)Instructions burned: 7 (million)
% 0.59/0.77 % (7138)------------------------------
% 0.59/0.77 % (7138)------------------------------
% 0.59/0.77 % (7142)Refutation not found, incomplete strategy% (7142)------------------------------
% 0.59/0.77 % (7142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (7142)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (7142)Memory used [KB]: 1106
% 0.59/0.77 % (7142)Time elapsed: 0.006 s
% 0.59/0.77 % (7142)Instructions burned: 8 (million)
% 0.59/0.77 % (7142)------------------------------
% 0.59/0.77 % (7142)------------------------------
% 0.59/0.77 % (7147)Refutation not found, incomplete strategy% (7147)------------------------------
% 0.59/0.77 % (7147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (7147)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (7147)Memory used [KB]: 1074
% 0.59/0.77 % (7147)Time elapsed: 0.003 s
% 0.59/0.77 % (7147)Instructions burned: 7 (million)
% 0.59/0.77 % (7147)------------------------------
% 0.59/0.77 % (7147)------------------------------
% 0.59/0.77 % (7149)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 (2996ds/50Mi)
% 0.59/0.77 % (7150)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 (2996ds/208Mi)
% 0.59/0.77 % (7151)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 (2996ds/52Mi)
% 0.59/0.77 % (7155)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 (2996ds/243Mi)
% 0.59/0.77 % (7153)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 (2996ds/518Mi)
% 0.59/0.77 % (7154)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 (2996ds/42Mi)
% 0.59/0.77 % (7149)Refutation not found, incomplete strategy% (7149)------------------------------
% 0.59/0.77 % (7149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (7149)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (7149)Memory used [KB]: 1071
% 0.59/0.77 % (7149)Time elapsed: 0.005 s
% 0.59/0.77 % (7149)Instructions burned: 7 (million)
% 0.59/0.78 % (7149)------------------------------
% 0.59/0.78 % (7149)------------------------------
% 0.59/0.78 % (7151)Refutation not found, incomplete strategy% (7151)------------------------------
% 0.59/0.78 % (7151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (7151)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (7151)Memory used [KB]: 1073
% 0.59/0.78 % (7151)Time elapsed: 0.005 s
% 0.59/0.78 % (7151)Instructions burned: 7 (million)
% 0.59/0.78 % (7150)Refutation not found, incomplete strategy% (7150)------------------------------
% 0.59/0.78 % (7150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (7150)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (7150)Memory used [KB]: 1101
% 0.59/0.78 % (7150)Time elapsed: 0.006 s
% 0.59/0.78 % (7150)Instructions burned: 8 (million)
% 0.59/0.78 % (7151)------------------------------
% 0.59/0.78 % (7151)------------------------------
% 0.59/0.78 % (7154)Refutation not found, incomplete strategy% (7154)------------------------------
% 0.59/0.78 % (7154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (7154)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (7154)Memory used [KB]: 1030
% 0.59/0.78 % (7154)Time elapsed: 0.003 s
% 0.59/0.78 % (7154)Instructions burned: 4 (million)
% 0.59/0.78 % (7150)------------------------------
% 0.59/0.78 % (7150)------------------------------
% 0.59/0.78 % (7154)------------------------------
% 0.59/0.78 % (7154)------------------------------
% 0.59/0.78 % (7155)Refutation not found, incomplete strategy% (7155)------------------------------
% 0.59/0.78 % (7155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (7155)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (7155)Memory used [KB]: 1112
% 0.59/0.78 % (7155)Time elapsed: 0.006 s
% 0.59/0.78 % (7155)Instructions burned: 17 (million)
% 0.59/0.78 % (7155)------------------------------
% 0.59/0.78 % (7155)------------------------------
% 0.59/0.78 % (7158)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 (2996ds/143Mi)
% 0.59/0.78 % (7159)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 (2996ds/93Mi)
% 0.59/0.78 % (7160)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 (2996ds/62Mi)
% 0.59/0.78 % (7161)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 (2996ds/32Mi)
% 0.59/0.78 % (7160)Refutation not found, incomplete strategy% (7160)------------------------------
% 0.59/0.78 % (7160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (7160)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (7160)Memory used [KB]: 1015
% 0.59/0.78 % (7160)Time elapsed: 0.004 s
% 0.59/0.78 % (7160)Instructions burned: 3 (million)
% 0.59/0.78 % (7158)Refutation not found, incomplete strategy% (7158)------------------------------
% 0.59/0.78 % (7158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (7158)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (7158)Memory used [KB]: 1082
% 0.59/0.78 % (7158)Time elapsed: 0.005 s
% 0.59/0.78 % (7158)Instructions burned: 5 (million)
% 0.59/0.78 % (7160)------------------------------
% 0.59/0.78 % (7160)------------------------------
% 0.59/0.78 % (7158)------------------------------
% 0.59/0.78 % (7158)------------------------------
% 0.59/0.78 % (7161)Refutation not found, incomplete strategy% (7161)------------------------------
% 0.59/0.78 % (7161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (7161)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (7161)Memory used [KB]: 1073
% 0.59/0.78 % (7161)Time elapsed: 0.003 s
% 0.59/0.78 % (7161)Instructions burned: 6 (million)
% 0.59/0.78 % (7161)------------------------------
% 0.59/0.78 % (7161)------------------------------
% 0.59/0.79 % (7141)Instruction limit reached!
% 0.59/0.79 % (7141)------------------------------
% 0.59/0.79 % (7141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (7141)Termination reason: Unknown
% 0.59/0.79 % (7141)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (7141)Memory used [KB]: 1507
% 0.59/0.79 % (7141)Time elapsed: 0.023 s
% 0.59/0.79 % (7141)Instructions burned: 46 (million)
% 0.59/0.79 % (7141)------------------------------
% 0.59/0.79 % (7141)------------------------------
% 0.59/0.79 % (7166)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 (2996ds/53Mi)
% 0.59/0.79 % (7162)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 (2996ds/1919Mi)
% 0.59/0.79 % (7164)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 (2996ds/55Mi)
% 0.59/0.79 % (7164)Refutation not found, incomplete strategy% (7164)------------------------------
% 0.59/0.79 % (7164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (7164)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (7164)Memory used [KB]: 1104
% 0.59/0.79 % (7164)Time elapsed: 0.004 s
% 0.59/0.79 % (7164)Instructions burned: 5 (million)
% 0.59/0.79 % (7157)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 (2996ds/117Mi)
% 0.59/0.79 % (7164)------------------------------
% 0.59/0.79 % (7164)------------------------------
% 0.59/0.79 % (7168)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 (2995ds/46Mi)
% 0.59/0.79 % (7162)Refutation not found, incomplete strategy% (7162)------------------------------
% 0.59/0.79 % (7162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (7162)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (7162)Memory used [KB]: 1074
% 0.59/0.79 % (7162)Time elapsed: 0.006 s
% 0.59/0.79 % (7162)Instructions burned: 7 (million)
% 0.59/0.79 % (7162)------------------------------
% 0.59/0.79 % (7162)------------------------------
% 0.59/0.79 % (7157)Refutation not found, incomplete strategy% (7157)------------------------------
% 0.59/0.79 % (7157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (7157)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (7157)Memory used [KB]: 1001
% 0.59/0.79 % (7157)Time elapsed: 0.025 s
% 0.59/0.79 % (7157)Instructions burned: 4 (million)
% 0.59/0.79 % (7168)Refutation not found, incomplete strategy% (7168)------------------------------
% 0.59/0.79 % (7168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (7168)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (7168)Memory used [KB]: 1084
% 0.59/0.79 % (7157)------------------------------
% 0.59/0.79 % (7157)------------------------------
% 0.59/0.79 % (7168)Time elapsed: 0.004 s
% 0.59/0.79 % (7168)Instructions burned: 4 (million)
% 0.59/0.79 % (7168)------------------------------
% 0.59/0.79 % (7168)------------------------------
% 0.59/0.79 % (7171)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 (2995ds/102Mi)
% 0.59/0.79 % (7137)Instruction limit reached!
% 0.59/0.79 % (7137)------------------------------
% 0.59/0.79 % (7137)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (7137)Termination reason: Unknown
% 0.59/0.79 % (7137)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (7137)Memory used [KB]: 1704
% 0.59/0.79 % (7137)Time elapsed: 0.032 s
% 0.59/0.79 % (7137)Instructions burned: 52 (million)
% 0.59/0.79 % (7137)------------------------------
% 0.59/0.79 % (7137)------------------------------
% 0.59/0.80 % (7172)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 (2995ds/35Mi)
% 0.59/0.80 % (7174)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.59/0.80 % (7175)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 (2995ds/109Mi)
% 0.59/0.80 % (7176)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 (2995ds/161Mi)
% 0.59/0.80 % (7166)Instruction limit reached!
% 0.59/0.80 % (7166)------------------------------
% 0.59/0.80 % (7166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (7166)Termination reason: Unknown
% 0.59/0.80 % (7166)Termination phase: Saturation
% 0.59/0.80
% 0.59/0.80 % (7166)Memory used [KB]: 1193
% 0.59/0.80 % (7166)Time elapsed: 0.036 s
% 0.59/0.80 % (7166)Instructions burned: 55 (million)
% 0.59/0.80 % (7166)------------------------------
% 0.59/0.80 % (7166)------------------------------
% 0.59/0.80 % (7176)Refutation not found, incomplete strategy% (7176)------------------------------
% 0.59/0.80 % (7176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (7176)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (7176)Memory used [KB]: 994
% 0.59/0.80 % (7176)Time elapsed: 0.006 s
% 0.59/0.80 % (7176)Instructions burned: 4 (million)
% 0.59/0.80 % (7176)------------------------------
% 0.59/0.80 % (7176)------------------------------
% 0.59/0.80 % (7178)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 (2995ds/69Mi)
% 0.59/0.81 % (7178)Refutation not found, incomplete strategy% (7178)------------------------------
% 0.59/0.81 % (7178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (7178)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.81
% 0.59/0.81 % (7178)Memory used [KB]: 1022
% 0.59/0.81 % (7178)Time elapsed: 0.002 s
% 0.59/0.81 % (7178)Instructions burned: 5 (million)
% 0.59/0.81 % (7178)------------------------------
% 0.59/0.81 % (7178)------------------------------
% 0.59/0.81 % (7179)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 (2995ds/40Mi)
% 0.59/0.81 % (7181)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 (2995ds/360Mi)
% 0.59/0.81 % (7172)Instruction limit reached!
% 0.59/0.81 % (7172)------------------------------
% 0.59/0.81 % (7172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (7172)Termination reason: Unknown
% 0.59/0.81 % (7172)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (7172)Memory used [KB]: 1160
% 0.59/0.81 % (7172)Time elapsed: 0.040 s
% 0.59/0.81 % (7172)Instructions burned: 35 (million)
% 0.59/0.81 % (7172)------------------------------
% 0.59/0.81 % (7172)------------------------------
% 0.59/0.82 % (7179)Refutation not found, incomplete strategy% (7179)------------------------------
% 0.59/0.82 % (7179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (7179)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.82
% 0.59/0.82 % (7179)Memory used [KB]: 1163
% 0.59/0.82 % (7179)Time elapsed: 0.009 s
% 0.59/0.82 % (7179)Instructions burned: 10 (million)
% 0.59/0.82 % (7179)------------------------------
% 0.59/0.82 % (7179)------------------------------
% 0.59/0.82 % (7184)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 (2995ds/161Mi)
% 0.59/0.82 % (7187)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 (2995ds/80Mi)
% 0.59/0.83 % (7159)Instruction limit reached!
% 0.59/0.83 % (7159)------------------------------
% 0.59/0.83 % (7159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83 % (7159)Termination reason: Unknown
% 0.59/0.83 % (7159)Termination phase: Saturation
% 0.59/0.83
% 0.59/0.83 % (7159)Memory used [KB]: 2198
% 0.59/0.83 % (7159)Time elapsed: 0.049 s
% 0.59/0.83 % (7159)Instructions burned: 94 (million)
% 0.59/0.83 % (7159)------------------------------
% 0.59/0.83 % (7159)------------------------------
% 0.59/0.83 % (7192)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 (2995ds/37Mi)
% 0.59/0.83 % (7174)Instruction limit reached!
% 0.59/0.83 % (7174)------------------------------
% 0.59/0.83 % (7174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83 % (7174)Termination reason: Unknown
% 0.59/0.83 % (7174)Termination phase: Saturation
% 0.59/0.83
% 0.59/0.83 % (7174)Memory used [KB]: 1429
% 0.59/0.83 % (7174)Time elapsed: 0.062 s
% 0.59/0.83 % (7174)Instructions burned: 88 (million)
% 0.59/0.83 % (7174)------------------------------
% 0.59/0.83 % (7174)------------------------------
% 0.59/0.84 % (7193)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 (2995ds/55Mi)
% 0.59/0.84 % (7171)Instruction limit reached!
% 0.59/0.84 % (7171)------------------------------
% 0.59/0.84 % (7171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.84 % (7171)Termination reason: Unknown
% 0.59/0.84 % (7171)Termination phase: Saturation
% 0.59/0.84
% 0.59/0.84 % (7171)Memory used [KB]: 1958
% 0.59/0.84 % (7171)Time elapsed: 0.072 s
% 0.59/0.84 % (7171)Instructions burned: 103 (million)
% 0.59/0.84 % (7171)------------------------------
% 0.59/0.84 % (7171)------------------------------
% 0.59/0.85 % (7194)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 (2995ds/47Mi)
% 0.97/0.85 % (7192)Instruction limit reached!
% 0.97/0.85 % (7192)------------------------------
% 0.97/0.85 % (7192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.85 % (7192)Termination reason: Unknown
% 0.97/0.85 % (7192)Termination phase: Saturation
% 0.97/0.85
% 0.97/0.85 % (7192)Memory used [KB]: 1631
% 0.97/0.85 % (7192)Time elapsed: 0.022 s
% 0.97/0.85 % (7192)Instructions burned: 37 (million)
% 0.97/0.85 % (7192)------------------------------
% 0.97/0.85 % (7192)------------------------------
% 0.97/0.85 % (7187)Instruction limit reached!
% 0.97/0.85 % (7187)------------------------------
% 0.97/0.85 % (7187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.85 % (7187)Termination reason: Unknown
% 0.97/0.85 % (7187)Termination phase: Saturation
% 0.97/0.85
% 0.97/0.85 % (7187)Memory used [KB]: 1261
% 0.97/0.85 % (7187)Time elapsed: 0.035 s
% 0.97/0.85 % (7187)Instructions burned: 82 (million)
% 0.97/0.85 % (7187)------------------------------
% 0.97/0.85 % (7187)------------------------------
% 0.97/0.86 % (7175)Instruction limit reached!
% 0.97/0.86 % (7175)------------------------------
% 0.97/0.86 % (7175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.86 % (7175)Termination reason: Unknown
% 0.97/0.86 % (7175)Termination phase: Saturation
% 0.97/0.86
% 0.97/0.86 % (7175)Memory used [KB]: 2237
% 0.97/0.86 % (7175)Time elapsed: 0.085 s
% 0.97/0.86 % (7175)Instructions burned: 110 (million)
% 0.97/0.86 % (7175)------------------------------
% 0.97/0.86 % (7175)------------------------------
% 0.97/0.86 % (7195)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.97/0.86 % (7196)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 (2995ds/132Mi)
% 0.97/0.86 % (7195)Refutation not found, incomplete strategy% (7195)------------------------------
% 0.97/0.86 % (7195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.86 % (7195)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.86
% 0.97/0.86 % (7195)Memory used [KB]: 1000
% 0.97/0.86 % (7195)Time elapsed: 0.004 s
% 0.97/0.86 % (7195)Instructions burned: 4 (million)
% 0.97/0.86 % (7195)------------------------------
% 0.97/0.86 % (7195)------------------------------
% 0.97/0.86 % (7196)Refutation not found, incomplete strategy% (7196)------------------------------
% 0.97/0.86 % (7196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.86 % (7196)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.86
% 0.97/0.86 % (7196)Memory used [KB]: 971
% 0.97/0.86 % (7196)Time elapsed: 0.004 s
% 0.97/0.86 % (7196)Instructions burned: 5 (million)
% 0.97/0.86 % (7196)------------------------------
% 0.97/0.86 % (7196)------------------------------
% 0.97/0.86 % (7197)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 (2995ds/54Mi)
% 0.97/0.86 % (7181)First to succeed.
% 0.97/0.86 % (7198)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 (2995ds/82Mi)
% 0.97/0.86 % (7197)Refutation not found, incomplete strategy% (7197)------------------------------
% 0.97/0.86 % (7197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.86 % (7197)Termination reason: Refutation not found, incomplete strategy
% 0.97/0.86
% 0.97/0.86 % (7197)Memory used [KB]: 997
% 0.97/0.86 % (7197)Time elapsed: 0.004 s
% 0.97/0.86 % (7197)Instructions burned: 6 (million)
% 0.97/0.86 % (7197)------------------------------
% 0.97/0.86 % (7197)------------------------------
% 0.97/0.86 % (7199)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 (2995ds/119Mi)
% 0.97/0.86 % (7181)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7002"
% 0.97/0.87 % (7181)Refutation found. Thanks to Tanya!
% 0.97/0.87 % SZS status Unsatisfiable for Vampire---4
% 0.97/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 0.97/0.87 % (7181)------------------------------
% 0.97/0.87 % (7181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.97/0.87 % (7181)Termination reason: Refutation
% 0.97/0.87
% 0.97/0.87 % (7181)Memory used [KB]: 2164
% 0.97/0.87 % (7181)Time elapsed: 0.056 s
% 0.97/0.87 % (7181)Instructions burned: 179 (million)
% 0.97/0.87 % (7002)Success in time 0.492 s
% 0.97/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------