TSTP Solution File: GRP331-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP331-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 05:47:24 EDT 2024
% Result : Unsatisfiable 0.68s 0.82s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 82
% Syntax : Number of formulae : 445 ( 33 unt; 0 def)
% Number of atoms : 1796 ( 315 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 2582 (1231 ~;1325 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 27 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2022,plain,
$false,
inference(avatar_sat_refutation,[],[f97,f102,f107,f112,f117,f122,f127,f128,f129,f130,f131,f132,f137,f138,f139,f140,f141,f142,f147,f148,f149,f150,f151,f152,f157,f158,f159,f160,f161,f162,f182,f354,f394,f424,f454,f510,f535,f536,f589,f673,f759,f860,f878,f895,f945,f1295,f1314,f1359,f1370,f1632,f1636,f1713,f1757,f1785,f1933,f1948,f1967,f1997,f2006,f2013,f2017]) ).
fof(f2017,plain,
( spl22_37
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_41 ),
inference(avatar_split_clause,[],[f2016,f586,f154,f144,f134,f124,f90,f567]) ).
fof(f567,plain,
( spl22_37
<=> sP0(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_37])]) ).
fof(f90,plain,
( spl22_1
<=> sk_c6 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f124,plain,
( spl22_8
<=> sk_c8 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).
fof(f134,plain,
( spl22_9
<=> sk_c7 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f144,plain,
( spl22_10
<=> sk_c7 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).
fof(f154,plain,
( spl22_11
<=> sk_c7 = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).
fof(f586,plain,
( spl22_41
<=> sP0(multiply(sk_c2,sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_41])]) ).
fof(f2016,plain,
( sP0(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_41 ),
inference(forward_demodulation,[],[f2015,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',left_identity) ).
fof(f2015,plain,
( sP0(multiply(identity,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_41 ),
inference(forward_demodulation,[],[f2014,f1851]) ).
fof(f1851,plain,
( identity = sk_c2
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f519,f1844]) ).
fof(f1844,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1838,f1703]) ).
fof(f1703,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9 ),
inference(backward_demodulation,[],[f1379,f1685]) ).
fof(f1685,plain,
( sk_c7 = sk_c6
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_demodulation,[],[f1682,f1378]) ).
fof(f1378,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl22_1 ),
inference(backward_demodulation,[],[f48,f92]) ).
fof(f92,plain,
( sk_c6 = sF12
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f48,plain,
multiply(sk_c7,sk_c8) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f1682,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl22_8
| ~ spl22_9 ),
inference(superposition,[],[f1426,f524]) ).
fof(f524,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl22_8 ),
inference(backward_demodulation,[],[f60,f126]) ).
fof(f126,plain,
( sk_c8 = sF18
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f60,plain,
multiply(sk_c1,sk_c7) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1426,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl22_9 ),
inference(forward_demodulation,[],[f1425,f1]) ).
fof(f1425,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl22_9 ),
inference(superposition,[],[f3,f1374]) ).
fof(f1374,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl22_9 ),
inference(backward_demodulation,[],[f192,f136]) ).
fof(f136,plain,
( sk_c7 = sF19
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f192,plain,
identity = multiply(sF19,sk_c1),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
inverse(sk_c1) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',associativity) ).
fof(f1379,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl22_1 ),
inference(backward_demodulation,[],[f197,f92]) ).
fof(f197,plain,
! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sF12,X0),
inference(superposition,[],[f3,f48]) ).
fof(f1838,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f1426,f1833]) ).
fof(f1833,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f1195,f1825]) ).
fof(f1825,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(superposition,[],[f1696,f1118]) ).
fof(f1118,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl22_10 ),
inference(forward_demodulation,[],[f930,f1]) ).
fof(f930,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl22_10 ),
inference(superposition,[],[f3,f519]) ).
fof(f1696,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_11 ),
inference(backward_demodulation,[],[f517,f1685]) ).
fof(f517,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl22_11 ),
inference(backward_demodulation,[],[f204,f156]) ).
fof(f156,plain,
( sk_c7 = sF21
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f204,plain,
! [X0] : multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sF21,X0),
inference(superposition,[],[f3,f81]) ).
fof(f81,plain,
multiply(sk_c2,sk_c6) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
fof(f1195,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl22_8
| ~ spl22_10 ),
inference(superposition,[],[f523,f1118]) ).
fof(f523,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl22_8 ),
inference(backward_demodulation,[],[f203,f126]) ).
fof(f203,plain,
! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sF18,X0),
inference(superposition,[],[f3,f60]) ).
fof(f519,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl22_10 ),
inference(backward_demodulation,[],[f193,f146]) ).
fof(f146,plain,
( sk_c7 = sF20
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f193,plain,
identity = multiply(sF20,sk_c2),
inference(superposition,[],[f2,f74]) ).
fof(f74,plain,
inverse(sk_c2) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f2014,plain,
( sP0(multiply(sk_c2,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_41 ),
inference(forward_demodulation,[],[f588,f1849]) ).
fof(f1849,plain,
( sk_c7 = sk_c8
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f1702,f1844]) ).
fof(f1702,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9 ),
inference(backward_demodulation,[],[f1378,f1685]) ).
fof(f588,plain,
( sP0(multiply(sk_c2,sk_c8))
| ~ spl22_41 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f2013,plain,
( ~ spl22_37
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9 ),
inference(avatar_split_clause,[],[f1686,f134,f124,f90,f567]) ).
fof(f1686,plain,
( ~ sP0(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9 ),
inference(backward_demodulation,[],[f35,f1685]) ).
fof(f35,plain,
~ sP0(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2006,plain,
( ~ spl22_39
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9 ),
inference(avatar_split_clause,[],[f1687,f134,f124,f90,f576]) ).
fof(f576,plain,
( spl22_39
<=> sP1(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_39])]) ).
fof(f1687,plain,
( ~ sP1(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9 ),
inference(backward_demodulation,[],[f36,f1685]) ).
fof(f36,plain,
~ sP1(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1997,plain,
( ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| spl22_37
| ~ spl22_41 ),
inference(avatar_contradiction_clause,[],[f1996]) ).
fof(f1996,plain,
( $false
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| spl22_37
| ~ spl22_41 ),
inference(subsumption_resolution,[],[f1995,f568]) ).
fof(f568,plain,
( ~ sP0(sk_c7)
| spl22_37 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1995,plain,
( sP0(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_41 ),
inference(forward_demodulation,[],[f1994,f1]) ).
fof(f1994,plain,
( sP0(multiply(identity,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_41 ),
inference(forward_demodulation,[],[f1993,f1851]) ).
fof(f1993,plain,
( sP0(multiply(sk_c2,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_41 ),
inference(forward_demodulation,[],[f588,f1849]) ).
fof(f1967,plain,
( ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(avatar_contradiction_clause,[],[f1966]) ).
fof(f1966,plain,
( $false
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(subsumption_resolution,[],[f1965,f1931]) ).
fof(f1931,plain,
( ~ sP9(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f44,f1849]) ).
fof(f44,plain,
~ sP9(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1965,plain,
( sP9(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f1964,f1]) ).
fof(f1964,plain,
( sP9(multiply(identity,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(subsumption_resolution,[],[f1960,f43]) ).
fof(f43,plain,
~ sP8(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1960,plain,
( sP8(sk_c7)
| sP9(multiply(identity,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(superposition,[],[f169,f1884]) ).
fof(f1884,plain,
( sk_c7 = inverse(identity)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f1375,f1850]) ).
fof(f1850,plain,
( identity = sk_c1
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f1374,f1844]) ).
fof(f1375,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl22_9 ),
inference(backward_demodulation,[],[f67,f136]) ).
fof(f169,plain,
( ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c7)) )
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl22_13
<=> ! [X3] :
( sP8(inverse(X3))
| sP9(multiply(X3,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
fof(f1948,plain,
( ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_60 ),
inference(avatar_contradiction_clause,[],[f1947]) ).
fof(f1947,plain,
( $false
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_60 ),
inference(subsumption_resolution,[],[f1946,f40]) ).
fof(f40,plain,
~ sP5(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1946,plain,
( sP5(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_60 ),
inference(forward_demodulation,[],[f1945,f1]) ).
fof(f1945,plain,
( sP5(multiply(identity,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_60 ),
inference(forward_demodulation,[],[f1944,f1850]) ).
fof(f1944,plain,
( sP5(multiply(sk_c1,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_60 ),
inference(forward_demodulation,[],[f1780,f1849]) ).
fof(f1780,plain,
( sP5(multiply(sk_c1,sk_c8))
| ~ spl22_60 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f1778,plain,
( spl22_60
<=> sP5(multiply(sk_c1,sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_60])]) ).
fof(f1933,plain,
( ~ spl22_61
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(avatar_split_clause,[],[f1932,f154,f144,f134,f124,f90,f1782]) ).
fof(f1782,plain,
( spl22_61
<=> sP4(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_61])]) ).
fof(f1932,plain,
( ~ sP4(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f39,f1849]) ).
fof(f39,plain,
~ sP4(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1785,plain,
( spl22_60
| spl22_61
| ~ spl22_9
| ~ spl22_15 ),
inference(avatar_split_clause,[],[f1763,f174,f134,f1782,f1778]) ).
fof(f174,plain,
( spl22_15
<=> ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).
fof(f1763,plain,
( sP4(sk_c7)
| sP5(multiply(sk_c1,sk_c8))
| ~ spl22_9
| ~ spl22_15 ),
inference(superposition,[],[f175,f1375]) ).
fof(f175,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c8)) )
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f1757,plain,
( ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_14 ),
inference(avatar_contradiction_clause,[],[f1756]) ).
fof(f1756,plain,
( $false
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f1755,f41]) ).
fof(f41,plain,
~ sP6(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1755,plain,
( sP6(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f1754,f1697]) ).
fof(f1697,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_11 ),
inference(backward_demodulation,[],[f518,f1685]) ).
fof(f518,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl22_11 ),
inference(backward_demodulation,[],[f81,f156]) ).
fof(f1754,plain,
( sP6(multiply(sk_c2,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f1736,f42]) ).
fof(f42,plain,
~ sP7(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1736,plain,
( sP7(sk_c7)
| sP6(multiply(sk_c2,sk_c7))
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_14 ),
inference(superposition,[],[f1727,f520]) ).
fof(f520,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl22_10 ),
inference(backward_demodulation,[],[f74,f146]) ).
fof(f1727,plain,
( ! [X4] :
( sP7(inverse(X4))
| sP6(multiply(X4,sk_c7)) )
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_14 ),
inference(forward_demodulation,[],[f172,f1685]) ).
fof(f172,plain,
( ! [X4] :
( sP6(multiply(X4,sk_c6))
| sP7(inverse(X4)) )
| ~ spl22_14 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl22_14
<=> ! [X4] :
( sP6(multiply(X4,sk_c6))
| sP7(inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).
fof(f1713,plain,
( ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_11
| ~ spl22_34 ),
inference(avatar_contradiction_clause,[],[f1712]) ).
fof(f1712,plain,
( $false
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_11
| ~ spl22_34 ),
inference(subsumption_resolution,[],[f1711,f1688]) ).
fof(f1688,plain,
( ~ sP3(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9 ),
inference(backward_demodulation,[],[f38,f1685]) ).
fof(f38,plain,
~ sP3(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1711,plain,
( sP3(sk_c7)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9
| ~ spl22_11
| ~ spl22_34 ),
inference(backward_demodulation,[],[f509,f1697]) ).
fof(f509,plain,
( sP3(multiply(sk_c2,sk_c7))
| ~ spl22_34 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl22_34
<=> sP3(multiply(sk_c2,sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_34])]) ).
fof(f1636,plain,
( ~ spl22_10
| ~ spl22_32 ),
inference(avatar_contradiction_clause,[],[f1635]) ).
fof(f1635,plain,
( $false
| ~ spl22_10
| ~ spl22_32 ),
inference(subsumption_resolution,[],[f1634,f37]) ).
fof(f37,plain,
~ sP2(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1634,plain,
( sP2(sk_c7)
| ~ spl22_10
| ~ spl22_32 ),
inference(forward_demodulation,[],[f500,f146]) ).
fof(f500,plain,
( sP2(sF20)
| ~ spl22_32 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl22_32
<=> sP2(sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_32])]) ).
fof(f1632,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11
| ~ spl22_16 ),
inference(avatar_contradiction_clause,[],[f1631]) ).
fof(f1631,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f1630,f1497]) ).
fof(f1497,plain,
( ~ sP3(sk_c7)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f38,f1494]) ).
fof(f1494,plain,
( sk_c7 = sk_c6
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1493,f1378]) ).
fof(f1493,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1491,f188]) ).
fof(f188,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl22_2 ),
inference(backward_demodulation,[],[f47,f96]) ).
fof(f96,plain,
( sk_c7 = sF11
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl22_2
<=> sk_c7 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f47,plain,
multiply(sk_c3,sk_c8) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f1491,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c3,sk_c8)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11 ),
inference(superposition,[],[f200,f1485]) ).
fof(f1485,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1480,f1484]) ).
fof(f1484,plain,
( sk_c8 = multiply(sk_c1,sk_c6)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1479,f1473]) ).
fof(f1473,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl22_2
| ~ spl22_3 ),
inference(superposition,[],[f1400,f188]) ).
fof(f1400,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl22_3 ),
inference(forward_demodulation,[],[f1399,f1]) ).
fof(f1399,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl22_3 ),
inference(superposition,[],[f3,f1365]) ).
fof(f1365,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl22_3 ),
inference(backward_demodulation,[],[f1173,f101]) ).
fof(f101,plain,
( sk_c8 = sF13
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl22_3
<=> sk_c8 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f1173,plain,
identity = multiply(sF13,sk_c3),
inference(superposition,[],[f2,f50]) ).
fof(f50,plain,
inverse(sk_c3) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f1479,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c1,sk_c6)
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11 ),
inference(superposition,[],[f523,f639]) ).
fof(f639,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl22_10
| ~ spl22_11 ),
inference(superposition,[],[f551,f518]) ).
fof(f551,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl22_10 ),
inference(forward_demodulation,[],[f550,f1]) ).
fof(f550,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl22_10 ),
inference(superposition,[],[f3,f519]) ).
fof(f1480,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c1,sk_c6)
| ~ spl22_1
| ~ spl22_8 ),
inference(superposition,[],[f523,f1378]) ).
fof(f200,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl22_2 ),
inference(superposition,[],[f3,f188]) ).
fof(f1630,plain,
( sP3(sk_c7)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11
| ~ spl22_16 ),
inference(forward_demodulation,[],[f1629,f1506]) ).
fof(f1506,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_8
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f518,f1494]) ).
fof(f1629,plain,
( sP3(multiply(sk_c2,sk_c7))
| ~ spl22_10
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f1404,f37]) ).
fof(f1404,plain,
( sP2(sk_c7)
| sP3(multiply(sk_c2,sk_c7))
| ~ spl22_10
| ~ spl22_16 ),
inference(superposition,[],[f178,f520]) ).
fof(f178,plain,
( ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c7)) )
| ~ spl22_16 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl22_16
<=> ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).
fof(f1370,plain,
( ~ spl22_6
| ~ spl22_48 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1369,plain,
( $false
| ~ spl22_6
| ~ spl22_48 ),
inference(subsumption_resolution,[],[f1368,f36]) ).
fof(f1368,plain,
( sP1(sk_c6)
| ~ spl22_6
| ~ spl22_48 ),
inference(forward_demodulation,[],[f940,f116]) ).
fof(f116,plain,
( sk_c6 = sF16
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl22_6
<=> sk_c6 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).
fof(f940,plain,
( sP1(sF16)
| ~ spl22_48 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f938,plain,
( spl22_48
<=> sP1(sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_48])]) ).
fof(f1359,plain,
( ~ spl22_7
| ~ spl22_49 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1358,plain,
( $false
| ~ spl22_7
| ~ spl22_49 ),
inference(subsumption_resolution,[],[f1357,f35]) ).
fof(f1357,plain,
( sP0(sk_c6)
| ~ spl22_7
| ~ spl22_49 ),
inference(backward_demodulation,[],[f944,f121]) ).
fof(f121,plain,
( sk_c6 = sF17
| ~ spl22_7 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl22_7
<=> sk_c6 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).
fof(f944,plain,
( sP0(sF17)
| ~ spl22_49 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f942,plain,
( spl22_49
<=> sP0(sF17) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_49])]) ).
fof(f1314,plain,
( ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1313,plain,
( $false
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f1312,f40]) ).
fof(f1312,plain,
( sP5(sk_c7)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f1311,f1]) ).
fof(f1311,plain,
( sP5(multiply(identity,sk_c7))
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f1307,f1238]) ).
fof(f1238,plain,
( ~ sP4(sk_c7)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f39,f1235]) ).
fof(f1235,plain,
( sk_c7 = sk_c8
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f1202,f1231]) ).
fof(f1231,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1226,f1224]) ).
fof(f1224,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1219,f984]) ).
fof(f984,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl22_8
| ~ spl22_9 ),
inference(superposition,[],[f553,f523]) ).
fof(f553,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl22_9 ),
inference(forward_demodulation,[],[f552,f1]) ).
fof(f552,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl22_9 ),
inference(superposition,[],[f3,f521]) ).
fof(f521,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl22_9 ),
inference(backward_demodulation,[],[f192,f136]) ).
fof(f1219,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f553,f1215]) ).
fof(f1215,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,X0)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f1184,f1207]) ).
fof(f1207,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(superposition,[],[f1139,f553]) ).
fof(f1139,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f517,f1131]) ).
fof(f1131,plain,
( sk_c7 = sk_c6
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(forward_demodulation,[],[f1130,f972]) ).
fof(f972,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl22_8
| ~ spl22_9 ),
inference(superposition,[],[f553,f524]) ).
fof(f1130,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(forward_demodulation,[],[f1123,f1128]) ).
fof(f1128,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(forward_demodulation,[],[f1122,f1118]) ).
fof(f1122,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(backward_demodulation,[],[f640,f1120]) ).
fof(f1120,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
| ~ spl22_1
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_demodulation,[],[f526,f984]) ).
fof(f526,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl22_1 ),
inference(backward_demodulation,[],[f197,f92]) ).
fof(f640,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl22_4
| ~ spl22_10 ),
inference(superposition,[],[f201,f551]) ).
fof(f201,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl22_4 ),
inference(superposition,[],[f3,f186]) ).
fof(f186,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl22_4 ),
inference(backward_demodulation,[],[f52,f106]) ).
fof(f106,plain,
( sk_c6 = sF14
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl22_4
<=> sk_c6 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f52,plain,
multiply(sk_c4,sk_c7) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f1123,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c4,sk_c6)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9 ),
inference(backward_demodulation,[],[f527,f1120]) ).
fof(f527,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c4,sk_c6)
| ~ spl22_1
| ~ spl22_4 ),
inference(backward_demodulation,[],[f240,f92]) ).
fof(f240,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c4,sF12)
| ~ spl22_4 ),
inference(superposition,[],[f201,f48]) ).
fof(f1184,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(forward_demodulation,[],[f1183,f978]) ).
fof(f978,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl22_8
| ~ spl22_9 ),
inference(superposition,[],[f523,f553]) ).
fof(f1183,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(forward_demodulation,[],[f1182,f3]) ).
fof(f1182,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = multiply(multiply(sk_c8,sk_c1),X0)
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(superposition,[],[f3,f988]) ).
fof(f988,plain,
( multiply(sk_c8,sk_c1) = multiply(sk_c8,sk_c2)
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(forward_demodulation,[],[f983,f982]) ).
fof(f982,plain,
( multiply(sk_c8,sk_c1) = multiply(sk_c1,identity)
| ~ spl22_8
| ~ spl22_9 ),
inference(superposition,[],[f523,f521]) ).
fof(f983,plain,
( multiply(sk_c1,identity) = multiply(sk_c8,sk_c2)
| ~ spl22_8
| ~ spl22_10 ),
inference(superposition,[],[f523,f519]) ).
fof(f1226,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f984,f1224]) ).
fof(f1202,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1196,f524]) ).
fof(f1196,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c8,sk_c7)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(superposition,[],[f523,f1149]) ).
fof(f1149,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f639,f1131]) ).
fof(f1307,plain,
( sP4(sk_c7)
| sP5(multiply(identity,sk_c7))
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(superposition,[],[f1304,f1255]) ).
fof(f1255,plain,
( sk_c7 = inverse(identity)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f522,f1229]) ).
fof(f1229,plain,
( identity = sk_c1
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f521,f1224]) ).
fof(f522,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl22_9 ),
inference(backward_demodulation,[],[f67,f136]) ).
fof(f1304,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c7)) )
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f175,f1235]) ).
fof(f1295,plain,
( spl22_39
| spl22_37
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f1294,f180,f154,f144,f134,f124,f104,f90,f567,f576]) ).
fof(f180,plain,
( spl22_17
<=> ! [X7] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).
fof(f1294,plain,
( sP0(sk_c7)
| sP1(sk_c7)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f1293,f1]) ).
fof(f1293,plain,
( sP0(multiply(identity,sk_c7))
| sP1(sk_c7)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f1292,f1257]) ).
fof(f1257,plain,
( identity = sk_c2
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f1250,f1229]) ).
fof(f1250,plain,
( sk_c1 = sk_c2
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1249,f1224]) ).
fof(f1249,plain,
( sk_c1 = multiply(sk_c7,sk_c2)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f1236,f1235]) ).
fof(f1236,plain,
( sk_c1 = multiply(sk_c8,sk_c2)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f988,f1231]) ).
fof(f1292,plain,
( sP0(multiply(sk_c2,sk_c7))
| sP1(sk_c7)
| ~ spl22_1
| ~ spl22_4
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10
| ~ spl22_11
| ~ spl22_17 ),
inference(forward_demodulation,[],[f1158,f1235]) ).
fof(f1158,plain,
( sP1(sk_c7)
| sP0(multiply(sk_c2,sk_c8))
| ~ spl22_10
| ~ spl22_17 ),
inference(superposition,[],[f181,f520]) ).
fof(f181,plain,
( ! [X7] :
( sP1(inverse(X7))
| sP0(multiply(X7,sk_c8)) )
| ~ spl22_17 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f945,plain,
( spl22_48
| spl22_49
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f936,f180,f942,f938]) ).
fof(f936,plain,
( sP0(sF17)
| sP1(sF16)
| ~ spl22_17 ),
inference(forward_demodulation,[],[f933,f58]) ).
fof(f58,plain,
multiply(sk_c5,sk_c8) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f933,plain,
( sP1(sF16)
| sP0(multiply(sk_c5,sk_c8))
| ~ spl22_17 ),
inference(superposition,[],[f181,f56]) ).
fof(f56,plain,
inverse(sk_c5) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f895,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f894,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(subsumption_resolution,[],[f893,f816]) ).
fof(f816,plain,
( ~ sP9(sk_c7)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f44,f736]) ).
fof(f736,plain,
( sk_c7 = sk_c8
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f735,f675]) ).
fof(f675,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f208,f674]) ).
fof(f674,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f657,f208]) ).
fof(f657,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f238,f642]) ).
fof(f642,plain,
( sk_c7 = sk_c6
| ~ spl22_2
| ~ spl22_3
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f639,f228]) ).
fof(f228,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl22_2
| ~ spl22_3 ),
inference(forward_demodulation,[],[f225,f188]) ).
fof(f225,plain,
( multiply(sk_c3,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl22_2
| ~ spl22_3 ),
inference(superposition,[],[f200,f216]) ).
fof(f216,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl22_2
| ~ spl22_3 ),
inference(superposition,[],[f209,f188]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl22_3 ),
inference(forward_demodulation,[],[f199,f1]) ).
fof(f199,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl22_3 ),
inference(superposition,[],[f3,f189]) ).
fof(f189,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl22_3 ),
inference(superposition,[],[f2,f187]) ).
fof(f187,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl22_3 ),
inference(backward_demodulation,[],[f50,f101]) ).
fof(f238,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl22_4
| ~ spl22_5 ),
inference(superposition,[],[f201,f208]) ).
fof(f208,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl22_5 ),
inference(forward_demodulation,[],[f198,f1]) ).
fof(f198,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl22_5 ),
inference(superposition,[],[f3,f190]) ).
fof(f190,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl22_5 ),
inference(superposition,[],[f2,f185]) ).
fof(f185,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl22_5 ),
inference(backward_demodulation,[],[f54,f111]) ).
fof(f111,plain,
( sk_c7 = sF15
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl22_5
<=> sk_c7 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f54,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f735,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f734,f1]) ).
fof(f734,plain,
( multiply(sk_c7,sk_c8) = multiply(identity,sk_c7)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f666,f684]) ).
fof(f684,plain,
( identity = sk_c4
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f190,f675]) ).
fof(f666,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c4,sk_c7)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f527,f642]) ).
fof(f893,plain,
( sP9(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(forward_demodulation,[],[f892,f1]) ).
fof(f892,plain,
( sP9(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(subsumption_resolution,[],[f890,f43]) ).
fof(f890,plain,
( sP8(sk_c7)
| sP9(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_13 ),
inference(superposition,[],[f169,f722]) ).
fof(f722,plain,
( sk_c7 = inverse(identity)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f520,f686]) ).
fof(f686,plain,
( identity = sk_c2
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f519,f675]) ).
fof(f878,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f876,f40]) ).
fof(f876,plain,
( sP5(sk_c7)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f875,f1]) ).
fof(f875,plain,
( sP5(multiply(identity,sk_c7))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f873,f817]) ).
fof(f817,plain,
( ~ sP4(sk_c7)
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11 ),
inference(forward_demodulation,[],[f39,f736]) ).
fof(f873,plain,
( sP4(sk_c7)
| sP5(multiply(identity,sk_c7))
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(superposition,[],[f872,f722]) ).
fof(f872,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c7)) )
| ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_15 ),
inference(forward_demodulation,[],[f175,f736]) ).
fof(f860,plain,
( ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_14 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f859,plain,
( $false
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f858,f41]) ).
fof(f858,plain,
( sP6(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f857,f1]) ).
fof(f857,plain,
( sP6(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f855,f42]) ).
fof(f855,plain,
( sP7(sk_c7)
| sP6(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_10
| ~ spl22_11
| ~ spl22_14 ),
inference(superposition,[],[f849,f722]) ).
fof(f849,plain,
( ! [X4] :
( sP7(inverse(X4))
| sP6(multiply(X4,sk_c7)) )
| ~ spl22_2
| ~ spl22_3
| ~ spl22_10
| ~ spl22_11
| ~ spl22_14 ),
inference(forward_demodulation,[],[f172,f642]) ).
fof(f759,plain,
( ~ spl22_37
| ~ spl22_2
| ~ spl22_3
| ~ spl22_10
| ~ spl22_11 ),
inference(avatar_split_clause,[],[f643,f154,f144,f99,f94,f567]) ).
fof(f643,plain,
( ~ sP0(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f35,f642]) ).
fof(f673,plain,
( ~ spl22_39
| ~ spl22_2
| ~ spl22_3
| ~ spl22_10
| ~ spl22_11 ),
inference(avatar_split_clause,[],[f644,f154,f144,f99,f94,f576]) ).
fof(f644,plain,
( ~ sP1(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_10
| ~ spl22_11 ),
inference(backward_demodulation,[],[f36,f642]) ).
fof(f589,plain,
( spl22_41
| spl22_39
| ~ spl22_10
| ~ spl22_17 ),
inference(avatar_split_clause,[],[f560,f180,f144,f576,f586]) ).
fof(f560,plain,
( sP1(sk_c7)
| sP0(multiply(sk_c2,sk_c8))
| ~ spl22_10
| ~ spl22_17 ),
inference(superposition,[],[f181,f520]) ).
fof(f536,plain,
( ~ spl22_12
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f528,f90,f164]) ).
fof(f164,plain,
( spl22_12
<=> sP10(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f528,plain,
( ~ sP10(sk_c6)
| ~ spl22_1 ),
inference(backward_demodulation,[],[f88,f92]) ).
fof(f88,plain,
~ sP10(sF12),
inference(definition_folding,[],[f45,f48]) ).
fof(f45,plain,
~ sP10(multiply(sk_c7,sk_c8)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).
fof(f535,plain,
( ~ spl22_4
| ~ spl22_5
| ~ spl22_16 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| ~ spl22_4
| ~ spl22_5
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f533,f38]) ).
fof(f533,plain,
( sP3(sk_c6)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_16 ),
inference(forward_demodulation,[],[f532,f186]) ).
fof(f532,plain,
( sP3(multiply(sk_c4,sk_c7))
| ~ spl22_5
| ~ spl22_16 ),
inference(subsumption_resolution,[],[f530,f37]) ).
fof(f530,plain,
( sP2(sk_c7)
| sP3(multiply(sk_c4,sk_c7))
| ~ spl22_5
| ~ spl22_16 ),
inference(superposition,[],[f178,f185]) ).
fof(f510,plain,
( spl22_34
| spl22_32
| ~ spl22_16 ),
inference(avatar_split_clause,[],[f479,f177,f498,f507]) ).
fof(f479,plain,
( sP2(sF20)
| sP3(multiply(sk_c2,sk_c7))
| ~ spl22_16 ),
inference(superposition,[],[f178,f74]) ).
fof(f454,plain,
( ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_15 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f452,f40]) ).
fof(f452,plain,
( sP5(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f451,f1]) ).
fof(f451,plain,
( sP5(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_15 ),
inference(subsumption_resolution,[],[f448,f347]) ).
fof(f347,plain,
( ~ sP4(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f248,f337]) ).
fof(f337,plain,
( sk_c7 = sk_c6
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f186,f329]) ).
fof(f329,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f319,f328]) ).
fof(f328,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(forward_demodulation,[],[f321,f318]) ).
fof(f318,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(forward_demodulation,[],[f313,f261]) ).
fof(f261,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f219,f247]) ).
fof(f247,plain,
( sk_c8 = sk_c6
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(forward_demodulation,[],[f246,f186]) ).
fof(f246,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(forward_demodulation,[],[f241,f220]) ).
fof(f220,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl22_6
| ~ spl22_7 ),
inference(superposition,[],[f211,f183]) ).
fof(f183,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl22_7 ),
inference(backward_demodulation,[],[f58,f121]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl22_6 ),
inference(forward_demodulation,[],[f210,f1]) ).
fof(f210,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl22_6 ),
inference(superposition,[],[f3,f191]) ).
fof(f191,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl22_6 ),
inference(superposition,[],[f2,f184]) ).
fof(f184,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl22_6 ),
inference(backward_demodulation,[],[f56,f116]) ).
fof(f241,plain,
( multiply(sk_c4,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl22_4
| ~ spl22_5 ),
inference(superposition,[],[f201,f212]) ).
fof(f212,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl22_4
| ~ spl22_5 ),
inference(superposition,[],[f208,f186]) ).
fof(f219,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl22_2
| ~ spl22_3 ),
inference(superposition,[],[f3,f216]) ).
fof(f313,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f259,f311]) ).
fof(f311,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,X0)
| ~ spl22_2
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f290,f303]) ).
fof(f303,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(superposition,[],[f258,f211]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f202,f247]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl22_7 ),
inference(superposition,[],[f3,f183]) ).
fof(f290,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(superposition,[],[f257,f211]) ).
fof(f257,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl22_2
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f200,f247]) ).
fof(f259,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f209,f247]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f261,f318]) ).
fof(f319,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f201,f318]) ).
fof(f248,plain,
( ~ sP4(sk_c6)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f39,f247]) ).
fof(f448,plain,
( sP4(sk_c7)
| sP5(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_15 ),
inference(superposition,[],[f447,f359]) ).
fof(f359,plain,
( sk_c7 = inverse(identity)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f185,f336]) ).
fof(f336,plain,
( identity = sk_c4
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f190,f328]) ).
fof(f447,plain,
( ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c7)) )
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_15 ),
inference(forward_demodulation,[],[f175,f346]) ).
fof(f346,plain,
( sk_c7 = sk_c8
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f247,f337]) ).
fof(f424,plain,
( ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_14 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f422,f41]) ).
fof(f422,plain,
( sP6(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f421,f1]) ).
fof(f421,plain,
( sP6(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_14 ),
inference(subsumption_resolution,[],[f418,f42]) ).
fof(f418,plain,
( sP7(sk_c7)
| sP6(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_14 ),
inference(superposition,[],[f417,f359]) ).
fof(f417,plain,
( ! [X4] :
( sP7(inverse(X4))
| sP6(multiply(X4,sk_c7)) )
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_14 ),
inference(forward_demodulation,[],[f172,f337]) ).
fof(f394,plain,
( ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_13 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_13 ),
inference(subsumption_resolution,[],[f392,f348]) ).
fof(f348,plain,
( ~ sP9(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f249,f337]) ).
fof(f249,plain,
( ~ sP9(sk_c6)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f44,f247]) ).
fof(f392,plain,
( sP9(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_13 ),
inference(forward_demodulation,[],[f391,f1]) ).
fof(f391,plain,
( sP9(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_13 ),
inference(subsumption_resolution,[],[f388,f43]) ).
fof(f388,plain,
( sP8(sk_c7)
| sP9(multiply(identity,sk_c7))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_13 ),
inference(superposition,[],[f169,f359]) ).
fof(f354,plain,
( ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_12 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f344,f266]) ).
fof(f266,plain,
( ~ sP10(sk_c7)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f88,f265]) ).
fof(f265,plain,
( sk_c7 = sF12
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(forward_demodulation,[],[f250,f212]) ).
fof(f250,plain,
( sF12 = multiply(sk_c7,sk_c6)
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7 ),
inference(backward_demodulation,[],[f48,f247]) ).
fof(f344,plain,
( sP10(sk_c7)
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| ~ spl22_7
| ~ spl22_12 ),
inference(backward_demodulation,[],[f166,f337]) ).
fof(f166,plain,
( sP10(sk_c6)
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f182,plain,
( spl22_12
| spl22_13
| spl22_14
| spl22_15
| spl22_16
| spl22_17 ),
inference(avatar_split_clause,[],[f46,f180,f177,f174,f171,f168,f164]) ).
fof(f46,plain,
! [X3,X6,X7,X4,X5] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c7))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c8))
| sP6(multiply(X4,sk_c6))
| sP7(inverse(X4))
| sP8(inverse(X3))
| sP9(multiply(X3,sk_c7))
| sP10(sk_c6) ),
inference(inequality_splitting,[],[f34,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_31) ).
fof(f162,plain,
( spl22_11
| spl22_7 ),
inference(avatar_split_clause,[],[f87,f119,f154]) ).
fof(f87,plain,
( sk_c6 = sF17
| sk_c7 = sF21 ),
inference(definition_folding,[],[f33,f81,f58]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_30) ).
fof(f161,plain,
( spl22_11
| spl22_6 ),
inference(avatar_split_clause,[],[f86,f114,f154]) ).
fof(f86,plain,
( sk_c6 = sF16
| sk_c7 = sF21 ),
inference(definition_folding,[],[f32,f81,f56]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_29) ).
fof(f160,plain,
( spl22_11
| spl22_5 ),
inference(avatar_split_clause,[],[f85,f109,f154]) ).
fof(f85,plain,
( sk_c7 = sF15
| sk_c7 = sF21 ),
inference(definition_folding,[],[f31,f81,f54]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_28) ).
fof(f159,plain,
( spl22_11
| spl22_4 ),
inference(avatar_split_clause,[],[f84,f104,f154]) ).
fof(f84,plain,
( sk_c6 = sF14
| sk_c7 = sF21 ),
inference(definition_folding,[],[f30,f81,f52]) ).
fof(f30,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_27) ).
fof(f158,plain,
( spl22_11
| spl22_3 ),
inference(avatar_split_clause,[],[f83,f99,f154]) ).
fof(f83,plain,
( sk_c8 = sF13
| sk_c7 = sF21 ),
inference(definition_folding,[],[f29,f81,f50]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_26) ).
fof(f157,plain,
( spl22_11
| spl22_2 ),
inference(avatar_split_clause,[],[f82,f94,f154]) ).
fof(f82,plain,
( sk_c7 = sF11
| sk_c7 = sF21 ),
inference(definition_folding,[],[f28,f81,f47]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_25) ).
fof(f152,plain,
( spl22_10
| spl22_7 ),
inference(avatar_split_clause,[],[f80,f119,f144]) ).
fof(f80,plain,
( sk_c6 = sF17
| sk_c7 = sF20 ),
inference(definition_folding,[],[f27,f74,f58]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_24) ).
fof(f151,plain,
( spl22_10
| spl22_6 ),
inference(avatar_split_clause,[],[f79,f114,f144]) ).
fof(f79,plain,
( sk_c6 = sF16
| sk_c7 = sF20 ),
inference(definition_folding,[],[f26,f74,f56]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_23) ).
fof(f150,plain,
( spl22_10
| spl22_5 ),
inference(avatar_split_clause,[],[f78,f109,f144]) ).
fof(f78,plain,
( sk_c7 = sF15
| sk_c7 = sF20 ),
inference(definition_folding,[],[f25,f74,f54]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_22) ).
fof(f149,plain,
( spl22_10
| spl22_4 ),
inference(avatar_split_clause,[],[f77,f104,f144]) ).
fof(f77,plain,
( sk_c6 = sF14
| sk_c7 = sF20 ),
inference(definition_folding,[],[f24,f74,f52]) ).
fof(f24,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_21) ).
fof(f148,plain,
( spl22_10
| spl22_3 ),
inference(avatar_split_clause,[],[f76,f99,f144]) ).
fof(f76,plain,
( sk_c8 = sF13
| sk_c7 = sF20 ),
inference(definition_folding,[],[f23,f74,f50]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_20) ).
fof(f147,plain,
( spl22_10
| spl22_2 ),
inference(avatar_split_clause,[],[f75,f94,f144]) ).
fof(f75,plain,
( sk_c7 = sF11
| sk_c7 = sF20 ),
inference(definition_folding,[],[f22,f74,f47]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_19) ).
fof(f142,plain,
( spl22_9
| spl22_7 ),
inference(avatar_split_clause,[],[f73,f119,f134]) ).
fof(f73,plain,
( sk_c6 = sF17
| sk_c7 = sF19 ),
inference(definition_folding,[],[f21,f67,f58]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_18) ).
fof(f141,plain,
( spl22_9
| spl22_6 ),
inference(avatar_split_clause,[],[f72,f114,f134]) ).
fof(f72,plain,
( sk_c6 = sF16
| sk_c7 = sF19 ),
inference(definition_folding,[],[f20,f67,f56]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_17) ).
fof(f140,plain,
( spl22_9
| spl22_5 ),
inference(avatar_split_clause,[],[f71,f109,f134]) ).
fof(f71,plain,
( sk_c7 = sF15
| sk_c7 = sF19 ),
inference(definition_folding,[],[f19,f67,f54]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_16) ).
fof(f139,plain,
( spl22_9
| spl22_4 ),
inference(avatar_split_clause,[],[f70,f104,f134]) ).
fof(f70,plain,
( sk_c6 = sF14
| sk_c7 = sF19 ),
inference(definition_folding,[],[f18,f67,f52]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_15) ).
fof(f138,plain,
( spl22_9
| spl22_3 ),
inference(avatar_split_clause,[],[f69,f99,f134]) ).
fof(f69,plain,
( sk_c8 = sF13
| sk_c7 = sF19 ),
inference(definition_folding,[],[f17,f67,f50]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_14) ).
fof(f137,plain,
( spl22_9
| spl22_2 ),
inference(avatar_split_clause,[],[f68,f94,f134]) ).
fof(f68,plain,
( sk_c7 = sF11
| sk_c7 = sF19 ),
inference(definition_folding,[],[f16,f67,f47]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_13) ).
fof(f132,plain,
( spl22_8
| spl22_7 ),
inference(avatar_split_clause,[],[f66,f119,f124]) ).
fof(f66,plain,
( sk_c6 = sF17
| sk_c8 = sF18 ),
inference(definition_folding,[],[f15,f60,f58]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_12) ).
fof(f131,plain,
( spl22_8
| spl22_6 ),
inference(avatar_split_clause,[],[f65,f114,f124]) ).
fof(f65,plain,
( sk_c6 = sF16
| sk_c8 = sF18 ),
inference(definition_folding,[],[f14,f60,f56]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_11) ).
fof(f130,plain,
( spl22_8
| spl22_5 ),
inference(avatar_split_clause,[],[f64,f109,f124]) ).
fof(f64,plain,
( sk_c7 = sF15
| sk_c8 = sF18 ),
inference(definition_folding,[],[f13,f60,f54]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_10) ).
fof(f129,plain,
( spl22_8
| spl22_4 ),
inference(avatar_split_clause,[],[f63,f104,f124]) ).
fof(f63,plain,
( sk_c6 = sF14
| sk_c8 = sF18 ),
inference(definition_folding,[],[f12,f60,f52]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_9) ).
fof(f128,plain,
( spl22_8
| spl22_3 ),
inference(avatar_split_clause,[],[f62,f99,f124]) ).
fof(f62,plain,
( sk_c8 = sF13
| sk_c8 = sF18 ),
inference(definition_folding,[],[f11,f60,f50]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_8) ).
fof(f127,plain,
( spl22_8
| spl22_2 ),
inference(avatar_split_clause,[],[f61,f94,f124]) ).
fof(f61,plain,
( sk_c7 = sF11
| sk_c8 = sF18 ),
inference(definition_folding,[],[f10,f60,f47]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_7) ).
fof(f122,plain,
( spl22_1
| spl22_7 ),
inference(avatar_split_clause,[],[f59,f119,f90]) ).
fof(f59,plain,
( sk_c6 = sF17
| sk_c6 = sF12 ),
inference(definition_folding,[],[f9,f48,f58]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_6) ).
fof(f117,plain,
( spl22_1
| spl22_6 ),
inference(avatar_split_clause,[],[f57,f114,f90]) ).
fof(f57,plain,
( sk_c6 = sF16
| sk_c6 = sF12 ),
inference(definition_folding,[],[f8,f48,f56]) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_5) ).
fof(f112,plain,
( spl22_1
| spl22_5 ),
inference(avatar_split_clause,[],[f55,f109,f90]) ).
fof(f55,plain,
( sk_c7 = sF15
| sk_c6 = sF12 ),
inference(definition_folding,[],[f7,f48,f54]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_4) ).
fof(f107,plain,
( spl22_1
| spl22_4 ),
inference(avatar_split_clause,[],[f53,f104,f90]) ).
fof(f53,plain,
( sk_c6 = sF14
| sk_c6 = sF12 ),
inference(definition_folding,[],[f6,f48,f52]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_3) ).
fof(f102,plain,
( spl22_1
| spl22_3 ),
inference(avatar_split_clause,[],[f51,f99,f90]) ).
fof(f51,plain,
( sk_c8 = sF13
| sk_c6 = sF12 ),
inference(definition_folding,[],[f5,f48,f50]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_2) ).
fof(f97,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f49,f94,f90]) ).
fof(f49,plain,
( sk_c7 = sF11
| sk_c6 = sF12 ),
inference(definition_folding,[],[f4,f48,f47]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP331-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 20:43:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.NtIYjSbvFy/Vampire---4.8_11421
% 0.57/0.74 % (11529)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)
% 0.57/0.74 % (11532)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)
% 0.57/0.74 % (11530)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)
% 0.57/0.74 % (11531)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (11534)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)
% 0.57/0.74 % (11533)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)
% 0.57/0.74 % (11535)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)
% 0.57/0.74 % (11536)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)
% 0.57/0.74 % (11529)Refutation not found, incomplete strategy% (11529)------------------------------
% 0.57/0.74 % (11529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (11529)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (11529)Memory used [KB]: 999
% 0.57/0.74 % (11529)Time elapsed: 0.002 s
% 0.57/0.74 % (11529)Instructions burned: 4 (million)
% 0.57/0.74 % (11532)Refutation not found, incomplete strategy% (11532)------------------------------
% 0.57/0.74 % (11532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (11529)------------------------------
% 0.57/0.74 % (11529)------------------------------
% 0.57/0.74 % (11532)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (11532)Memory used [KB]: 981
% 0.57/0.74 % (11532)Time elapsed: 0.003 s
% 0.57/0.74 % (11536)Refutation not found, incomplete strategy% (11536)------------------------------
% 0.57/0.74 % (11536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (11536)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (11536)Memory used [KB]: 984
% 0.57/0.74 % (11536)Time elapsed: 0.003 s
% 0.57/0.74 % (11536)Instructions burned: 3 (million)
% 0.57/0.74 % (11532)Instructions burned: 3 (million)
% 0.57/0.74 % (11533)Refutation not found, incomplete strategy% (11533)------------------------------
% 0.57/0.74 % (11533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (11533)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (11533)Memory used [KB]: 998
% 0.57/0.74 % (11533)Time elapsed: 0.003 s
% 0.57/0.74 % (11533)Instructions burned: 4 (million)
% 0.57/0.74 % (11536)------------------------------
% 0.57/0.74 % (11536)------------------------------
% 0.57/0.74 % (11532)------------------------------
% 0.57/0.74 % (11532)------------------------------
% 0.57/0.74 % (11534)Refutation not found, incomplete strategy% (11534)------------------------------
% 0.57/0.74 % (11534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (11534)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (11534)Memory used [KB]: 987
% 0.57/0.74 % (11534)Time elapsed: 0.003 s
% 0.57/0.74 % (11534)Instructions burned: 4 (million)
% 0.57/0.74 % (11531)Refutation not found, incomplete strategy% (11531)------------------------------
% 0.57/0.74 % (11531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (11533)------------------------------
% 0.57/0.74 % (11533)------------------------------
% 0.57/0.74 % (11531)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (11531)Memory used [KB]: 1052
% 0.57/0.74 % (11531)Time elapsed: 0.004 s
% 0.57/0.74 % (11531)Instructions burned: 4 (million)
% 0.57/0.74 % (11534)------------------------------
% 0.57/0.74 % (11534)------------------------------
% 0.57/0.74 % (11531)------------------------------
% 0.57/0.74 % (11531)------------------------------
% 0.57/0.75 % (11537)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)
% 0.57/0.75 % (11539)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)
% 0.57/0.75 % (11538)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)
% 0.57/0.75 % (11541)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)
% 0.57/0.75 % (11542)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)
% 0.57/0.75 % (11540)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)
% 0.57/0.75 % (11537)Refutation not found, incomplete strategy% (11537)------------------------------
% 0.57/0.75 % (11537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (11537)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (11537)Memory used [KB]: 1053
% 0.57/0.75 % (11537)Time elapsed: 0.003 s
% 0.57/0.75 % (11537)Instructions burned: 5 (million)
% 0.57/0.75 % (11537)------------------------------
% 0.57/0.75 % (11537)------------------------------
% 0.57/0.75 % (11538)Refutation not found, incomplete strategy% (11538)------------------------------
% 0.57/0.75 % (11538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (11538)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (11538)Memory used [KB]: 990
% 0.57/0.75 % (11538)Time elapsed: 0.004 s
% 0.57/0.75 % (11538)Instructions burned: 5 (million)
% 0.57/0.75 % (11542)Refutation not found, incomplete strategy% (11542)------------------------------
% 0.57/0.75 % (11542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (11541)Refutation not found, incomplete strategy% (11541)------------------------------
% 0.57/0.75 % (11541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (11541)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (11541)Memory used [KB]: 986
% 0.57/0.75 % (11541)Time elapsed: 0.003 s
% 0.57/0.75 % (11541)Instructions burned: 4 (million)
% 0.57/0.75 % (11542)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (11542)Memory used [KB]: 1004
% 0.57/0.75 % (11542)Time elapsed: 0.003 s
% 0.57/0.75 % (11542)Instructions burned: 4 (million)
% 0.57/0.75 % (11538)------------------------------
% 0.57/0.75 % (11538)------------------------------
% 0.57/0.75 % (11541)------------------------------
% 0.57/0.75 % (11541)------------------------------
% 0.57/0.75 % (11540)Refutation not found, incomplete strategy% (11540)------------------------------
% 0.57/0.75 % (11540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (11540)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75 % (11542)------------------------------
% 0.57/0.75 % (11542)------------------------------
% 0.57/0.75
% 0.57/0.75 % (11540)Memory used [KB]: 1052
% 0.57/0.75 % (11540)Time elapsed: 0.004 s
% 0.57/0.75 % (11540)Instructions burned: 4 (million)
% 0.57/0.75 % (11540)------------------------------
% 0.57/0.75 % (11540)------------------------------
% 0.57/0.75 % (11539)Refutation not found, incomplete strategy% (11539)------------------------------
% 0.57/0.75 % (11539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (11539)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (11539)Memory used [KB]: 1065
% 0.57/0.75 % (11539)Time elapsed: 0.005 s
% 0.57/0.75 % (11539)Instructions burned: 7 (million)
% 0.57/0.75 % (11539)------------------------------
% 0.57/0.75 % (11539)------------------------------
% 0.57/0.75 % (11543)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)
% 0.57/0.75 % (11544)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)
% 0.57/0.75 % (11545)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)
% 0.57/0.75 % (11547)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)
% 0.57/0.75 % (11548)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)
% 0.57/0.75 % (11544)Refutation not found, incomplete strategy% (11544)------------------------------
% 0.57/0.75 % (11544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (11544)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (11544)Memory used [KB]: 985
% 0.57/0.75 % (11544)Time elapsed: 0.003 s
% 0.57/0.75 % (11544)Instructions burned: 3 (million)
% 0.57/0.75 % (11544)------------------------------
% 0.57/0.75 % (11544)------------------------------
% 0.57/0.75 % (11547)Refutation not found, incomplete strategy% (11547)------------------------------
% 0.57/0.75 % (11547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (11547)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (11547)Memory used [KB]: 985
% 0.57/0.75 % (11547)Time elapsed: 0.003 s
% 0.57/0.75 % (11547)Instructions burned: 3 (million)
% 0.57/0.75 % (11545)Refutation not found, incomplete strategy% (11545)------------------------------
% 0.57/0.75 % (11545)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (11545)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (11545)Memory used [KB]: 1000
% 0.57/0.75 % (11545)Time elapsed: 0.003 s
% 0.57/0.75 % (11545)Instructions burned: 4 (million)
% 0.57/0.75 % (11545)------------------------------
% 0.57/0.75 % (11545)------------------------------
% 0.57/0.75 % (11547)------------------------------
% 0.57/0.75 % (11547)------------------------------
% 0.57/0.76 % (11546)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)
% 0.57/0.76 % (11550)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 (2995ds/55Mi)
% 0.57/0.76 % (11551)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 (2995ds/53Mi)
% 0.57/0.76 % (11549)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 (2995ds/1919Mi)
% 0.57/0.76 % (11550)Refutation not found, incomplete strategy% (11550)------------------------------
% 0.57/0.76 % (11550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (11550)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (11550)Memory used [KB]: 1005
% 0.57/0.76 % (11550)Time elapsed: 0.004 s
% 0.57/0.76 % (11550)Instructions burned: 5 (million)
% 0.57/0.76 % (11543)Refutation not found, incomplete strategy% (11543)------------------------------
% 0.57/0.76 % (11543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (11543)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (11543)Memory used [KB]: 1202
% 0.57/0.76 % (11543)Time elapsed: 0.010 s
% 0.57/0.76 % (11543)Instructions burned: 30 (million)
% 0.57/0.76 % (11550)------------------------------
% 0.57/0.76 % (11550)------------------------------
% 0.57/0.76 % (11543)------------------------------
% 0.57/0.76 % (11543)------------------------------
% 0.57/0.76 % (11549)Refutation not found, incomplete strategy% (11549)------------------------------
% 0.57/0.76 % (11549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (11549)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (11549)Memory used [KB]: 1052
% 0.57/0.76 % (11549)Time elapsed: 0.004 s
% 0.57/0.76 % (11549)Instructions burned: 5 (million)
% 0.57/0.76 % (11549)------------------------------
% 0.57/0.76 % (11549)------------------------------
% 0.57/0.76 % (11552)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)
% 0.57/0.76 % (11553)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)
% 0.57/0.76 % (11552)Refutation not found, incomplete strategy% (11552)------------------------------
% 0.57/0.76 % (11552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (11552)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (11552)Memory used [KB]: 990
% 0.57/0.76 % (11552)Time elapsed: 0.002 s
% 0.57/0.76 % (11552)Instructions burned: 3 (million)
% 0.57/0.76 % (11552)------------------------------
% 0.57/0.76 % (11552)------------------------------
% 0.68/0.77 % (11530)Instruction limit reached!
% 0.68/0.77 % (11530)------------------------------
% 0.68/0.77 % (11530)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (11530)Termination reason: Unknown
% 0.68/0.77 % (11530)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (11530)Memory used [KB]: 1581
% 0.68/0.77 % (11530)Time elapsed: 0.027 s
% 0.68/0.77 % (11530)Instructions burned: 51 (million)
% 0.68/0.77 % (11530)------------------------------
% 0.68/0.77 % (11530)------------------------------
% 0.68/0.77 % (11551)Refutation not found, incomplete strategy% (11551)------------------------------
% 0.68/0.77 % (11551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (11551)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (11551)Memory used [KB]: 1061
% 0.68/0.77 % (11551)Time elapsed: 0.010 s
% 0.68/0.77 % (11551)Instructions burned: 19 (million)
% 0.68/0.77 % (11551)------------------------------
% 0.68/0.77 % (11551)------------------------------
% 0.68/0.77 % (11554)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)
% 0.68/0.77 % (11548)Instruction limit reached!
% 0.68/0.77 % (11548)------------------------------
% 0.68/0.77 % (11548)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (11548)Termination reason: Unknown
% 0.68/0.77 % (11548)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (11548)Memory used [KB]: 1389
% 0.68/0.77 % (11548)Time elapsed: 0.016 s
% 0.68/0.77 % (11548)Instructions burned: 33 (million)
% 0.68/0.77 % (11548)------------------------------
% 0.68/0.77 % (11548)------------------------------
% 0.68/0.77 % (11556)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)
% 0.68/0.77 % (11555)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)
% 0.68/0.77 % (11557)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)
% 0.68/0.77 % (11557)Refutation not found, incomplete strategy% (11557)------------------------------
% 0.68/0.77 % (11557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (11557)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77
% 0.68/0.77 % (11557)Memory used [KB]: 979
% 0.68/0.77 % (11557)Time elapsed: 0.003 s
% 0.68/0.77 % (11557)Instructions burned: 3 (million)
% 0.68/0.77 % (11557)------------------------------
% 0.68/0.77 % (11557)------------------------------
% 0.68/0.77 % (11558)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)
% 0.68/0.78 % (11558)Refutation not found, incomplete strategy% (11558)------------------------------
% 0.68/0.78 % (11558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (11559)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)
% 0.68/0.78 % (11558)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (11558)Memory used [KB]: 1066
% 0.68/0.78 % (11558)Time elapsed: 0.004 s
% 0.68/0.78 % (11558)Instructions burned: 4 (million)
% 0.68/0.78 % (11535)Instruction limit reached!
% 0.68/0.78 % (11535)------------------------------
% 0.68/0.78 % (11535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (11558)------------------------------
% 0.68/0.78 % (11558)------------------------------
% 0.68/0.78 % (11535)Termination reason: Unknown
% 0.68/0.78 % (11535)Termination phase: Saturation
% 0.68/0.78
% 0.68/0.78 % (11535)Memory used [KB]: 2078
% 0.68/0.78 % (11535)Time elapsed: 0.037 s
% 0.68/0.78 % (11535)Instructions burned: 85 (million)
% 0.68/0.78 % (11535)------------------------------
% 0.68/0.78 % (11535)------------------------------
% 0.68/0.78 % (11554)Instruction limit reached!
% 0.68/0.78 % (11554)------------------------------
% 0.68/0.78 % (11554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (11554)Termination reason: Unknown
% 0.68/0.78 % (11554)Termination phase: Saturation
% 0.68/0.78
% 0.68/0.78 % (11554)Memory used [KB]: 1168
% 0.68/0.78 % (11554)Time elapsed: 0.011 s
% 0.68/0.78 % (11554)Instructions burned: 35 (million)
% 0.68/0.78 % (11554)------------------------------
% 0.68/0.78 % (11554)------------------------------
% 0.68/0.78 % (11560)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)
% 0.68/0.78 % (11562)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)
% 0.68/0.78 % (11559)Refutation not found, incomplete strategy% (11559)------------------------------
% 0.68/0.78 % (11559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (11559)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78
% 0.68/0.78 % (11559)Memory used [KB]: 1102
% 0.68/0.78 % (11559)Time elapsed: 0.007 s
% 0.68/0.78 % (11559)Instructions burned: 9 (million)
% 0.68/0.78 % (11559)------------------------------
% 0.68/0.78 % (11559)------------------------------
% 0.68/0.78 % (11561)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)
% 0.68/0.80 % (11546)Instruction limit reached!
% 0.68/0.80 % (11546)------------------------------
% 0.68/0.80 % (11546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80 % (11546)Termination reason: Unknown
% 0.68/0.80 % (11546)Termination phase: Saturation
% 0.68/0.80
% 0.68/0.80 % (11546)Memory used [KB]: 2225
% 0.68/0.80 % (11546)Time elapsed: 0.043 s
% 0.68/0.80 % (11546)Instructions burned: 93 (million)
% 0.68/0.80 % (11546)------------------------------
% 0.68/0.80 % (11546)------------------------------
% 0.68/0.80 % (11564)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)
% 0.68/0.80 % (11563)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)
% 0.68/0.81 % (11555)Instruction limit reached!
% 0.68/0.81 % (11555)------------------------------
% 0.68/0.81 % (11555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81 % (11555)Termination reason: Unknown
% 0.68/0.81 % (11555)Termination phase: Saturation
% 0.68/0.81
% 0.68/0.81 % (11555)Memory used [KB]: 1405
% 0.68/0.81 % (11555)Time elapsed: 0.060 s
% 0.68/0.81 % (11555)Instructions burned: 87 (million)
% 0.68/0.81 % (11555)------------------------------
% 0.68/0.81 % (11555)------------------------------
% 0.68/0.81 % (11562)Instruction limit reached!
% 0.68/0.81 % (11562)------------------------------
% 0.68/0.81 % (11562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81 % (11562)Termination reason: Unknown
% 0.68/0.81 % (11562)Termination phase: Saturation
% 0.68/0.81
% 0.68/0.81 % (11562)Memory used [KB]: 1151
% 0.68/0.81 % (11562)Time elapsed: 0.032 s
% 0.68/0.81 % (11562)Instructions burned: 83 (million)
% 0.68/0.81 % (11562)------------------------------
% 0.68/0.81 % (11562)------------------------------
% 0.68/0.81 % (11560)First to succeed.
% 0.68/0.81 % (11553)Instruction limit reached!
% 0.68/0.81 % (11553)------------------------------
% 0.68/0.81 % (11553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81 % (11553)Termination reason: Unknown
% 0.68/0.81 % (11553)Termination phase: Saturation
% 0.68/0.81
% 0.68/0.81 % (11553)Memory used [KB]: 2454
% 0.68/0.81 % (11553)Time elapsed: 0.050 s
% 0.68/0.81 % (11553)Instructions burned: 102 (million)
% 0.68/0.81 % (11553)------------------------------
% 0.68/0.81 % (11553)------------------------------
% 0.68/0.81 % (11566)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.68/0.81 % (11565)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)
% 0.68/0.82 % (11566)Refutation not found, incomplete strategy% (11566)------------------------------
% 0.68/0.82 % (11566)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82 % (11566)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.82
% 0.68/0.82 % (11566)Memory used [KB]: 984
% 0.68/0.82 % (11566)Time elapsed: 0.003 s
% 0.68/0.82 % (11566)Instructions burned: 3 (million)
% 0.68/0.82 % (11566)------------------------------
% 0.68/0.82 % (11566)------------------------------
% 0.68/0.82 % (11560)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11528"
% 0.68/0.82 % (11567)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)
% 0.68/0.82 % (11560)Refutation found. Thanks to Tanya!
% 0.68/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.68/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.82 % (11560)------------------------------
% 0.68/0.82 % (11560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82 % (11560)Termination reason: Refutation
% 0.68/0.82
% 0.68/0.82 % (11560)Memory used [KB]: 1530
% 0.68/0.82 % (11560)Time elapsed: 0.057 s
% 0.68/0.82 % (11560)Instructions burned: 86 (million)
% 0.68/0.82 % (11528)Success in time 0.476 s
% 0.68/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------