TSTP Solution File: GRP254-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP254-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:03 EDT 2022
% Result : Unsatisfiable 2.17s 0.67s
% Output : Refutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 101
% Syntax : Number of formulae : 511 ( 50 unt; 0 def)
% Number of atoms : 1717 ( 587 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 2279 (1073 ~;1168 |; 0 &)
% ( 38 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 39 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 29 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2396,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f183,f184,f189,f190,f195,f196,f201,f210,f216,f217,f218,f220,f222,f223,f228,f229,f230,f231,f234,f237,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f250,f251,f252,f255,f257,f258,f259,f272,f275,f277,f278,f301,f324,f353,f364,f397,f402,f482,f494,f527,f536,f572,f620,f641,f651,f882,f1065,f1068,f1077,f1429,f1470,f1552,f1601,f1612,f1635,f1957,f1964,f2045,f2079,f2147,f2204,f2320,f2346,f2376,f2377]) ).
fof(f2377,plain,
( ~ spl16_28
| ~ spl16_10
| ~ spl16_12
| spl16_38
| ~ spl16_70 ),
inference(avatar_split_clause,[],[f2354,f1025,f399,f198,f186,f341]) ).
fof(f341,plain,
( spl16_28
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).
fof(f186,plain,
( spl16_10
<=> sk_c9 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f198,plain,
( spl16_12
<=> sk_c12 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f399,plain,
( spl16_38
<=> sk_c10 = inverse(inverse(sk_c12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_38])]) ).
fof(f1025,plain,
( spl16_70
<=> identity = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_70])]) ).
fof(f2354,plain,
( identity != sk_c10
| ~ spl16_10
| ~ spl16_12
| spl16_38
| ~ spl16_70 ),
inference(forward_demodulation,[],[f2353,f1026]) ).
fof(f1026,plain,
( identity = inverse(identity)
| ~ spl16_70 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f2353,plain,
( sk_c10 != inverse(identity)
| ~ spl16_10
| ~ spl16_12
| spl16_38
| ~ spl16_70 ),
inference(forward_demodulation,[],[f2352,f1026]) ).
fof(f2352,plain,
( sk_c10 != inverse(inverse(identity))
| ~ spl16_10
| ~ spl16_12
| spl16_38 ),
inference(forward_demodulation,[],[f401,f1466]) ).
fof(f1466,plain,
( identity = sk_c12
| ~ spl16_10
| ~ spl16_12 ),
inference(forward_demodulation,[],[f1464,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1464,plain,
( sk_c12 = multiply(inverse(sk_c9),sk_c9)
| ~ spl16_10
| ~ spl16_12 ),
inference(backward_demodulation,[],[f1459,f188]) ).
fof(f188,plain,
( sk_c9 = sF5
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f1459,plain,
( sk_c12 = multiply(inverse(sF5),sk_c9)
| ~ spl16_12 ),
inference(forward_demodulation,[],[f775,f200]) ).
fof(f200,plain,
( sk_c12 = sF1
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f775,plain,
multiply(inverse(sF5),sk_c9) = sF1,
inference(superposition,[],[f426,f576]) ).
fof(f576,plain,
sk_c9 = multiply(sF5,sF1),
inference(forward_demodulation,[],[f559,f74]) ).
fof(f74,plain,
inverse(sk_c6) = sF5,
introduced(function_definition,[]) ).
fof(f559,plain,
sk_c9 = multiply(inverse(sk_c6),sF1),
inference(superposition,[],[f426,f68]) ).
fof(f68,plain,
multiply(sk_c6,sk_c9) = sF1,
introduced(function_definition,[]) ).
fof(f426,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f405,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f405,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f401,plain,
( sk_c10 != inverse(inverse(sk_c12))
| spl16_38 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f2376,plain,
( spl16_28
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23 ),
inference(avatar_split_clause,[],[f2375,f312,f225,f212,f203,f198,f192,f186,f176,f157,f341]) ).
fof(f157,plain,
( spl16_4
<=> sk_c11 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f176,plain,
( spl16_8
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f192,plain,
( spl16_11
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f203,plain,
( spl16_13
<=> sk_c10 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f212,plain,
( spl16_15
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f225,plain,
( spl16_16
<=> sk_c12 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f312,plain,
( spl16_23
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).
fof(f2375,plain,
( identity = sk_c10
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23 ),
inference(forward_demodulation,[],[f205,f2370]) ).
fof(f2370,plain,
( identity = sF14
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23 ),
inference(forward_demodulation,[],[f2369,f1]) ).
fof(f2369,plain,
( sF14 = multiply(identity,identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23 ),
inference(forward_demodulation,[],[f2368,f2213]) ).
fof(f2213,plain,
( identity = sk_c5
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23 ),
inference(forward_demodulation,[],[f2212,f1]) ).
fof(f2212,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23 ),
inference(forward_demodulation,[],[f1723,f313]) ).
fof(f313,plain,
( identity = sk_c11
| ~ spl16_23 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f1723,plain,
( sk_c5 = multiply(sk_c11,sk_c11)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16 ),
inference(forward_demodulation,[],[f1699,f1712]) ).
fof(f1712,plain,
( sk_c5 = sk_c9
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16 ),
inference(backward_demodulation,[],[f1664,f1711]) ).
fof(f1711,plain,
( sk_c5 = multiply(sk_c9,identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16 ),
inference(backward_demodulation,[],[f1061,f1700]) ).
fof(f1700,plain,
( sk_c9 = inverse(sk_c11)
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16 ),
inference(backward_demodulation,[],[f1630,f1692]) ).
fof(f1692,plain,
( sk_c11 = sk_c6
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16 ),
inference(backward_demodulation,[],[f1684,f1691]) ).
fof(f1691,plain,
( sk_c11 = multiply(sk_c6,identity)
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16 ),
inference(forward_demodulation,[],[f1667,f1683]) ).
fof(f1683,plain,
( sk_c6 = inverse(sk_c9)
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15 ),
inference(backward_demodulation,[],[f1623,f1678]) ).
fof(f1678,plain,
( sk_c9 = sk_c8
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15 ),
inference(backward_demodulation,[],[f1075,f1664]) ).
fof(f1075,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl16_8
| ~ spl16_15 ),
inference(forward_demodulation,[],[f1074,f1046]) ).
fof(f1046,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl16_8 ),
inference(forward_demodulation,[],[f86,f178]) ).
fof(f178,plain,
( sk_c9 = sF11
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f86,plain,
inverse(sk_c7) = sF11,
introduced(function_definition,[]) ).
fof(f1074,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl16_15 ),
inference(forward_demodulation,[],[f564,f214]) ).
fof(f214,plain,
( sk_c7 = sF3
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f564,plain,
sk_c8 = multiply(inverse(sF3),identity),
inference(superposition,[],[f426,f290]) ).
fof(f290,plain,
identity = multiply(sF3,sk_c8),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
inverse(sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f1623,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl16_8
| ~ spl16_10
| ~ spl16_15 ),
inference(backward_demodulation,[],[f1436,f1614]) ).
fof(f1614,plain,
( sk_c6 = sk_c7
| ~ spl16_8
| ~ spl16_10 ),
inference(backward_demodulation,[],[f1019,f1613]) ).
fof(f1613,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl16_10 ),
inference(forward_demodulation,[],[f565,f188]) ).
fof(f565,plain,
sk_c6 = multiply(inverse(sF5),identity),
inference(superposition,[],[f426,f289]) ).
fof(f289,plain,
identity = multiply(sF5,sk_c6),
inference(superposition,[],[f2,f74]) ).
fof(f1019,plain,
( sk_c7 = multiply(inverse(sk_c9),identity)
| ~ spl16_8 ),
inference(backward_demodulation,[],[f566,f178]) ).
fof(f566,plain,
sk_c7 = multiply(inverse(sF11),identity),
inference(superposition,[],[f426,f291]) ).
fof(f291,plain,
identity = multiply(sF11,sk_c7),
inference(superposition,[],[f2,f86]) ).
fof(f1436,plain,
( inverse(sk_c8) = sk_c7
| ~ spl16_15 ),
inference(backward_demodulation,[],[f71,f214]) ).
fof(f1667,plain,
( sk_c11 = multiply(inverse(sk_c9),identity)
| ~ spl16_10
| ~ spl16_12
| ~ spl16_16 ),
inference(backward_demodulation,[],[f1588,f1466]) ).
fof(f1588,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c12)
| ~ spl16_16 ),
inference(forward_demodulation,[],[f560,f227]) ).
fof(f227,plain,
( sk_c12 = sF10
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f560,plain,
sk_c11 = multiply(inverse(sk_c9),sF10),
inference(superposition,[],[f426,f83]) ).
fof(f83,plain,
multiply(sk_c9,sk_c11) = sF10,
introduced(function_definition,[]) ).
fof(f1684,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15 ),
inference(backward_demodulation,[],[f1613,f1683]) ).
fof(f1630,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl16_10 ),
inference(forward_demodulation,[],[f74,f188]) ).
fof(f1061,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl16_4 ),
inference(backward_demodulation,[],[f567,f159]) ).
fof(f159,plain,
( sk_c11 = sF12
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f567,plain,
sk_c5 = multiply(inverse(sF12),identity),
inference(superposition,[],[f426,f288]) ).
fof(f288,plain,
identity = multiply(sF12,sk_c5),
inference(superposition,[],[f2,f88]) ).
fof(f88,plain,
inverse(sk_c5) = sF12,
introduced(function_definition,[]) ).
fof(f1664,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl16_10
| ~ spl16_12 ),
inference(backward_demodulation,[],[f1465,f1466]) ).
fof(f1465,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl16_10
| ~ spl16_12 ),
inference(backward_demodulation,[],[f1218,f188]) ).
fof(f1218,plain,
( sk_c9 = multiply(sF5,sk_c12)
| ~ spl16_12 ),
inference(forward_demodulation,[],[f576,f200]) ).
fof(f1699,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16 ),
inference(backward_demodulation,[],[f1620,f1692]) ).
fof(f1620,plain,
( sk_c9 = multiply(sk_c6,sk_c6)
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_15 ),
inference(backward_demodulation,[],[f1076,f1614]) ).
fof(f1076,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl16_11
| ~ spl16_15 ),
inference(forward_demodulation,[],[f887,f214]) ).
fof(f887,plain,
( sk_c9 = multiply(sF3,sk_c7)
| ~ spl16_11 ),
inference(backward_demodulation,[],[f577,f194]) ).
fof(f194,plain,
( sk_c7 = sF7
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f577,plain,
sk_c9 = multiply(sF3,sF7),
inference(forward_demodulation,[],[f561,f71]) ).
fof(f561,plain,
sk_c9 = multiply(inverse(sk_c8),sF7),
inference(superposition,[],[f426,f78]) ).
fof(f78,plain,
multiply(sk_c8,sk_c9) = sF7,
introduced(function_definition,[]) ).
fof(f2368,plain,
( sF14 = multiply(sk_c5,identity)
| ~ spl16_23 ),
inference(forward_demodulation,[],[f95,f313]) ).
fof(f95,plain,
multiply(sk_c5,sk_c11) = sF14,
introduced(function_definition,[]) ).
fof(f205,plain,
( sk_c10 = sF14
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f2346,plain,
( ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23
| spl16_68
| ~ spl16_70 ),
inference(avatar_contradiction_clause,[],[f2345]) ).
fof(f2345,plain,
( $false
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23
| spl16_68
| ~ spl16_70 ),
inference(subsumption_resolution,[],[f2343,f1026]) ).
fof(f2343,plain,
( identity != inverse(identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23
| spl16_68 ),
inference(backward_demodulation,[],[f851,f2342]) ).
fof(f2342,plain,
( identity = sk_c9
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_23 ),
inference(forward_demodulation,[],[f1712,f2213]) ).
fof(f851,plain,
( sk_c9 != inverse(sk_c9)
| spl16_68 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f849,plain,
( spl16_68
<=> sk_c9 = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_68])]) ).
fof(f2320,plain,
( ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_59
| ~ spl16_62
| ~ spl16_68
| ~ spl16_70 ),
inference(avatar_contradiction_clause,[],[f2319]) ).
fof(f2319,plain,
( $false
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_59
| ~ spl16_62
| ~ spl16_68
| ~ spl16_70 ),
inference(subsumption_resolution,[],[f2318,f1026]) ).
fof(f2318,plain,
( identity != inverse(identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_59
| ~ spl16_62
| ~ spl16_68
| ~ spl16_70 ),
inference(forward_demodulation,[],[f2317,f1026]) ).
fof(f2317,plain,
( identity != inverse(inverse(identity))
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_59
| ~ spl16_62
| ~ spl16_68
| ~ spl16_70 ),
inference(subsumption_resolution,[],[f2308,f1026]) ).
fof(f2308,plain,
( identity != inverse(inverse(identity))
| identity != inverse(identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_59
| ~ spl16_62
| ~ spl16_68 ),
inference(superposition,[],[f2210,f2]) ).
fof(f2210,plain,
( ! [X3] :
( inverse(X3) != multiply(X3,identity)
| identity != inverse(multiply(X3,identity)) )
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_59
| ~ spl16_62
| ~ spl16_68 ),
inference(forward_demodulation,[],[f2208,f2207]) ).
fof(f2207,plain,
( identity = sF5
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_62
| ~ spl16_68 ),
inference(forward_demodulation,[],[f1714,f2181]) ).
fof(f2181,plain,
( identity = sk_c5
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_62
| ~ spl16_68 ),
inference(forward_demodulation,[],[f2177,f817]) ).
fof(f817,plain,
( identity = inverse(sk_c5)
| ~ spl16_62 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl16_62
<=> identity = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_62])]) ).
fof(f2177,plain,
( sk_c5 = inverse(sk_c5)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_68 ),
inference(backward_demodulation,[],[f850,f1712]) ).
fof(f850,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl16_68 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f1714,plain,
( sk_c5 = sF5
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16 ),
inference(backward_demodulation,[],[f188,f1712]) ).
fof(f2208,plain,
( ! [X3] :
( sF5 != inverse(multiply(X3,sF5))
| inverse(X3) != multiply(X3,identity) )
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_59
| ~ spl16_62
| ~ spl16_68 ),
inference(backward_demodulation,[],[f522,f2207]) ).
fof(f522,plain,
( ! [X3] :
( sF5 != inverse(multiply(X3,sF5))
| inverse(X3) != multiply(X3,sF5) )
| ~ spl16_59 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f521,plain,
( spl16_59
<=> ! [X3] :
( inverse(X3) != multiply(X3,sF5)
| sF5 != inverse(multiply(X3,sF5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_59])]) ).
fof(f2204,plain,
( spl16_3
| ~ spl16_6
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23 ),
inference(avatar_contradiction_clause,[],[f2203]) ).
fof(f2203,plain,
( $false
| spl16_3
| ~ spl16_6
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23 ),
inference(subsumption_resolution,[],[f2202,f2153]) ).
fof(f2153,plain,
( identity != sF8
| spl16_3
| ~ spl16_23 ),
inference(forward_demodulation,[],[f154,f313]) ).
fof(f154,plain,
( sk_c11 != sF8
| spl16_3 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl16_3
<=> sk_c11 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f2202,plain,
( identity = sF8
| ~ spl16_6
| ~ spl16_10
| ~ spl16_12 ),
inference(forward_demodulation,[],[f2201,f1]) ).
fof(f2201,plain,
( multiply(identity,identity) = sF8
| ~ spl16_6
| ~ spl16_10
| ~ spl16_12 ),
inference(backward_demodulation,[],[f2149,f2198]) ).
fof(f2198,plain,
( identity = sk_c1
| ~ spl16_6
| ~ spl16_10
| ~ spl16_12 ),
inference(forward_demodulation,[],[f2194,f2]) ).
fof(f2194,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl16_6
| ~ spl16_10
| ~ spl16_12 ),
inference(backward_demodulation,[],[f1931,f2193]) ).
fof(f2193,plain,
( identity = sF0
| ~ spl16_6
| ~ spl16_10
| ~ spl16_12 ),
inference(forward_demodulation,[],[f168,f1466]) ).
fof(f168,plain,
( sk_c12 = sF0
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl16_6
<=> sk_c12 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f1931,plain,
sk_c1 = multiply(inverse(sF0),identity),
inference(superposition,[],[f426,f1891]) ).
fof(f1891,plain,
identity = multiply(sF0,sk_c1),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f2149,plain,
( multiply(sk_c1,identity) = sF8
| ~ spl16_10
| ~ spl16_12 ),
inference(forward_demodulation,[],[f79,f1466]) ).
fof(f79,plain,
multiply(sk_c1,sk_c12) = sF8,
introduced(function_definition,[]) ).
fof(f2147,plain,
( ~ spl16_10
| ~ spl16_12
| ~ spl16_49
| ~ spl16_70 ),
inference(avatar_contradiction_clause,[],[f2146]) ).
fof(f2146,plain,
( $false
| ~ spl16_10
| ~ spl16_12
| ~ spl16_49
| ~ spl16_70 ),
inference(subsumption_resolution,[],[f2115,f1026]) ).
fof(f2115,plain,
( identity != inverse(identity)
| ~ spl16_10
| ~ spl16_12
| ~ spl16_49 ),
inference(duplicate_literal_removal,[],[f2109]) ).
fof(f2109,plain,
( identity != inverse(identity)
| identity != inverse(identity)
| ~ spl16_10
| ~ spl16_12
| ~ spl16_49 ),
inference(superposition,[],[f1686,f1]) ).
fof(f1686,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(multiply(X0,identity)) )
| ~ spl16_10
| ~ spl16_12
| ~ spl16_49 ),
inference(forward_demodulation,[],[f1653,f1466]) ).
fof(f1653,plain,
( ! [X0] :
( identity != inverse(multiply(X0,identity))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl16_10
| ~ spl16_12
| ~ spl16_49 ),
inference(backward_demodulation,[],[f481,f1466]) ).
fof(f481,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl16_49 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f480,plain,
( spl16_49
<=> ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| inverse(X0) != multiply(X0,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_49])]) ).
fof(f2079,plain,
( ~ spl16_3
| spl16_6
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23
| ~ spl16_70 ),
inference(avatar_contradiction_clause,[],[f2078]) ).
fof(f2078,plain,
( $false
| ~ spl16_3
| spl16_6
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23
| ~ spl16_70 ),
inference(subsumption_resolution,[],[f2077,f1643]) ).
fof(f1643,plain,
( identity != sF0
| spl16_6
| ~ spl16_10
| ~ spl16_12 ),
inference(backward_demodulation,[],[f167,f1466]) ).
fof(f167,plain,
( sk_c12 != sF0
| spl16_6 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f2077,plain,
( identity = sF0
| ~ spl16_3
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23
| ~ spl16_70 ),
inference(forward_demodulation,[],[f2074,f1026]) ).
fof(f2074,plain,
( inverse(identity) = sF0
| ~ spl16_3
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23 ),
inference(backward_demodulation,[],[f67,f2073]) ).
fof(f2073,plain,
( identity = sk_c1
| ~ spl16_3
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23 ),
inference(backward_demodulation,[],[f1931,f2071]) ).
fof(f2071,plain,
( identity = multiply(inverse(sF0),identity)
| ~ spl16_3
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23 ),
inference(superposition,[],[f426,f1815]) ).
fof(f1815,plain,
( identity = multiply(sF0,identity)
| ~ spl16_3
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23 ),
inference(backward_demodulation,[],[f1657,f313]) ).
fof(f1657,plain,
( identity = multiply(sF0,sk_c11)
| ~ spl16_3
| ~ spl16_10
| ~ spl16_12 ),
inference(backward_demodulation,[],[f1179,f1466]) ).
fof(f1179,plain,
( sk_c12 = multiply(sF0,sk_c11)
| ~ spl16_3 ),
inference(forward_demodulation,[],[f551,f67]) ).
fof(f551,plain,
( sk_c12 = multiply(inverse(sk_c1),sk_c11)
| ~ spl16_3 ),
inference(superposition,[],[f426,f285]) ).
fof(f285,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| ~ spl16_3 ),
inference(backward_demodulation,[],[f79,f155]) ).
fof(f155,plain,
( sk_c11 = sF8
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f2045,plain,
( ~ spl16_9
| spl16_14
| ~ spl16_23
| ~ spl16_28
| ~ spl16_70 ),
inference(avatar_contradiction_clause,[],[f2044]) ).
fof(f2044,plain,
( $false
| ~ spl16_9
| spl16_14
| ~ spl16_23
| ~ spl16_28
| ~ spl16_70 ),
inference(subsumption_resolution,[],[f2043,f1810]) ).
fof(f1810,plain,
( identity != sF13
| spl16_14
| ~ spl16_23 ),
inference(backward_demodulation,[],[f208,f313]) ).
fof(f208,plain,
( sk_c11 != sF13
| spl16_14 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl16_14
<=> sk_c11 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f2043,plain,
( identity = sF13
| ~ spl16_9
| ~ spl16_23
| ~ spl16_28
| ~ spl16_70 ),
inference(forward_demodulation,[],[f2042,f1026]) ).
fof(f2042,plain,
( sF13 = inverse(identity)
| ~ spl16_9
| ~ spl16_23
| ~ spl16_28 ),
inference(backward_demodulation,[],[f91,f2039]) ).
fof(f2039,plain,
( identity = sk_c2
| ~ spl16_9
| ~ spl16_23
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1944,f2037]) ).
fof(f2037,plain,
( identity = multiply(inverse(sF13),identity)
| ~ spl16_9
| ~ spl16_23
| ~ spl16_28 ),
inference(superposition,[],[f426,f1812]) ).
fof(f1812,plain,
( identity = multiply(sF13,identity)
| ~ spl16_9
| ~ spl16_23
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1005,f313]) ).
fof(f1005,plain,
( sk_c11 = multiply(sF13,identity)
| ~ spl16_9
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1004,f91]) ).
fof(f1004,plain,
( sk_c11 = multiply(inverse(sk_c2),identity)
| ~ spl16_9
| ~ spl16_28 ),
inference(forward_demodulation,[],[f562,f342]) ).
fof(f342,plain,
( identity = sk_c10
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f562,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c10)
| ~ spl16_9 ),
inference(superposition,[],[f426,f284]) ).
fof(f284,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl16_9 ),
inference(backward_demodulation,[],[f81,f182]) ).
fof(f182,plain,
( sk_c10 = sF9
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl16_9
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f81,plain,
multiply(sk_c2,sk_c11) = sF9,
introduced(function_definition,[]) ).
fof(f1944,plain,
sk_c2 = multiply(inverse(sF13),identity),
inference(superposition,[],[f426,f1897]) ).
fof(f1897,plain,
identity = multiply(sF13,sk_c2),
inference(superposition,[],[f2,f91]) ).
fof(f91,plain,
inverse(sk_c2) = sF13,
introduced(function_definition,[]) ).
fof(f1964,plain,
( ~ spl16_10
| ~ spl16_12
| ~ spl16_23
| spl16_26 ),
inference(avatar_contradiction_clause,[],[f1963]) ).
fof(f1963,plain,
( $false
| ~ spl16_10
| ~ spl16_12
| ~ spl16_23
| spl16_26 ),
inference(subsumption_resolution,[],[f1962,f1466]) ).
fof(f1962,plain,
( identity != sk_c12
| ~ spl16_23
| spl16_26 ),
inference(forward_demodulation,[],[f328,f313]) ).
fof(f328,plain,
( sk_c12 != sk_c11
| spl16_26 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl16_26
<=> sk_c12 = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).
fof(f1957,plain,
( ~ spl16_2
| spl16_7
| ~ spl16_10
| ~ spl16_12
| ~ spl16_28
| ~ spl16_70 ),
inference(avatar_contradiction_clause,[],[f1956]) ).
fof(f1956,plain,
( $false
| ~ spl16_2
| spl16_7
| ~ spl16_10
| ~ spl16_12
| ~ spl16_28
| ~ spl16_70 ),
inference(subsumption_resolution,[],[f1955,f1219]) ).
fof(f1219,plain,
( identity != sF4
| spl16_7
| ~ spl16_28 ),
inference(forward_demodulation,[],[f172,f342]) ).
fof(f172,plain,
( sk_c10 != sF4
| spl16_7 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl16_7
<=> sk_c10 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f1955,plain,
( identity = sF4
| ~ spl16_2
| ~ spl16_10
| ~ spl16_12
| ~ spl16_28
| ~ spl16_70 ),
inference(forward_demodulation,[],[f1954,f1026]) ).
fof(f1954,plain,
( sF4 = inverse(identity)
| ~ spl16_2
| ~ spl16_10
| ~ spl16_12
| ~ spl16_28 ),
inference(backward_demodulation,[],[f73,f1950]) ).
fof(f1950,plain,
( identity = sk_c3
| ~ spl16_2
| ~ spl16_10
| ~ spl16_12
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1935,f1948]) ).
fof(f1948,plain,
( identity = multiply(inverse(sF4),identity)
| ~ spl16_2
| ~ spl16_10
| ~ spl16_12
| ~ spl16_28 ),
inference(superposition,[],[f426,f1658]) ).
fof(f1658,plain,
( identity = multiply(sF4,identity)
| ~ spl16_2
| ~ spl16_10
| ~ spl16_12
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1271,f1466]) ).
fof(f1271,plain,
( sk_c12 = multiply(sF4,identity)
| ~ spl16_2
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1270,f73]) ).
fof(f1270,plain,
( sk_c12 = multiply(inverse(sk_c3),identity)
| ~ spl16_2
| ~ spl16_28 ),
inference(forward_demodulation,[],[f563,f342]) ).
fof(f563,plain,
( sk_c12 = multiply(inverse(sk_c3),sk_c10)
| ~ spl16_2 ),
inference(superposition,[],[f426,f283]) ).
fof(f283,plain,
( sk_c10 = multiply(sk_c3,sk_c12)
| ~ spl16_2 ),
inference(backward_demodulation,[],[f70,f150]) ).
fof(f150,plain,
( sk_c10 = sF2
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl16_2
<=> sk_c10 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f70,plain,
multiply(sk_c3,sk_c12) = sF2,
introduced(function_definition,[]) ).
fof(f1935,plain,
sk_c3 = multiply(inverse(sF4),identity),
inference(superposition,[],[f426,f1894]) ).
fof(f1894,plain,
identity = multiply(sF4,sk_c3),
inference(superposition,[],[f2,f73]) ).
fof(f73,plain,
inverse(sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f1635,plain,
( ~ spl16_5
| spl16_48
| ~ spl16_53 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1634,plain,
( $false
| ~ spl16_5
| spl16_48
| ~ spl16_53 ),
inference(subsumption_resolution,[],[f1633,f478]) ).
fof(f478,plain,
( sk_c12 != multiply(sk_c12,sk_c11)
| spl16_48 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl16_48
<=> sk_c12 = multiply(sk_c12,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_48])]) ).
fof(f1633,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl16_5
| ~ spl16_53 ),
inference(forward_demodulation,[],[f497,f164]) ).
fof(f164,plain,
( sk_c12 = sF15
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f162,plain,
( spl16_5
<=> sk_c12 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f497,plain,
( sk_c12 = multiply(sF15,sk_c11)
| ~ spl16_53 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl16_53
<=> sk_c12 = multiply(sF15,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_53])]) ).
fof(f1612,plain,
( ~ spl16_10
| ~ spl16_16
| spl16_58 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1611,plain,
( $false
| ~ spl16_10
| ~ spl16_16
| spl16_58 ),
inference(subsumption_resolution,[],[f1610,f1431]) ).
fof(f1431,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl16_16 ),
inference(backward_demodulation,[],[f83,f227]) ).
fof(f1610,plain,
( sk_c12 != multiply(sk_c9,sk_c11)
| ~ spl16_10
| spl16_58 ),
inference(forward_demodulation,[],[f519,f188]) ).
fof(f519,plain,
( sk_c12 != multiply(sF5,sk_c11)
| spl16_58 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl16_58
<=> sk_c12 = multiply(sF5,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_58])]) ).
fof(f1601,plain,
( ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28
| spl16_70 ),
inference(avatar_contradiction_clause,[],[f1600]) ).
fof(f1600,plain,
( $false
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28
| spl16_70 ),
inference(subsumption_resolution,[],[f1599,f1027]) ).
fof(f1027,plain,
( identity != inverse(identity)
| spl16_70 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1599,plain,
( identity = inverse(identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1598,f1557]) ).
fof(f1557,plain,
( identity = sk_c9
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1556,f1]) ).
fof(f1556,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1076,f1528]) ).
fof(f1528,plain,
( identity = sk_c7
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1491,f1524]) ).
fof(f1524,plain,
( identity = sk_c5
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1498,f1516]) ).
fof(f1516,plain,
( ! [X16] : multiply(sk_c5,X16) = X16
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1511,f1514]) ).
fof(f1514,plain,
( ! [X15] : multiply(sk_c12,X15) = X15
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1482,f1513]) ).
fof(f1513,plain,
( ! [X19] : multiply(sk_c12,multiply(sk_c12,X19)) = X19
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1447,f1511]) ).
fof(f1447,plain,
( ! [X19] : multiply(sk_c12,multiply(sk_c5,X19)) = X19
| ~ spl16_4
| ~ spl16_26 ),
inference(backward_demodulation,[],[f1060,f327]) ).
fof(f327,plain,
( sk_c12 = sk_c11
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f1060,plain,
( ! [X19] : multiply(sk_c11,multiply(sk_c5,X19)) = X19
| ~ spl16_4 ),
inference(backward_demodulation,[],[f422,f159]) ).
fof(f422,plain,
! [X19] : multiply(sF12,multiply(sk_c5,X19)) = X19,
inference(forward_demodulation,[],[f417,f1]) ).
fof(f417,plain,
! [X19] : multiply(sF12,multiply(sk_c5,X19)) = multiply(identity,X19),
inference(superposition,[],[f3,f288]) ).
fof(f1482,plain,
( ! [X15] : multiply(sk_c12,X15) = multiply(sk_c12,multiply(sk_c12,X15))
| ~ spl16_10
| ~ spl16_12
| ~ spl16_16
| ~ spl16_26 ),
inference(backward_demodulation,[],[f1452,f1471]) ).
fof(f1471,plain,
( sk_c12 = sk_c9
| ~ spl16_10
| ~ spl16_12
| ~ spl16_16
| ~ spl16_26 ),
inference(forward_demodulation,[],[f1465,f1451]) ).
fof(f1451,plain,
( sk_c12 = multiply(sk_c9,sk_c12)
| ~ spl16_16
| ~ spl16_26 ),
inference(backward_demodulation,[],[f1431,f327]) ).
fof(f1452,plain,
( ! [X15] : multiply(sk_c12,X15) = multiply(sk_c9,multiply(sk_c12,X15))
| ~ spl16_16
| ~ spl16_26 ),
inference(backward_demodulation,[],[f1432,f327]) ).
fof(f1432,plain,
( ! [X15] : multiply(sk_c12,X15) = multiply(sk_c9,multiply(sk_c11,X15))
| ~ spl16_16 ),
inference(backward_demodulation,[],[f413,f227]) ).
fof(f413,plain,
! [X15] : multiply(sk_c9,multiply(sk_c11,X15)) = multiply(sF10,X15),
inference(superposition,[],[f3,f83]) ).
fof(f1511,plain,
( ! [X16] : multiply(sk_c5,X16) = multiply(sk_c12,X16)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1510,f1491]) ).
fof(f1510,plain,
( ! [X16] : multiply(sk_c7,X16) = multiply(sk_c12,X16)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1509,f1482]) ).
fof(f1509,plain,
( ! [X16] : multiply(sk_c7,X16) = multiply(sk_c12,multiply(sk_c12,X16))
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1508,f1483]) ).
fof(f1483,plain,
( sk_c12 = sk_c8
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1479,f1458]) ).
fof(f1458,plain,
( sk_c12 = multiply(sk_c12,identity)
| ~ spl16_4
| ~ spl16_13
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1248,f327]) ).
fof(f1248,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl16_4
| ~ spl16_13
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1069,f1245]) ).
fof(f1245,plain,
( identity = sF14
| ~ spl16_13
| ~ spl16_28 ),
inference(forward_demodulation,[],[f205,f342]) ).
fof(f1069,plain,
( sk_c11 = multiply(sk_c11,sF14)
| ~ spl16_4 ),
inference(forward_demodulation,[],[f579,f159]) ).
fof(f579,plain,
sk_c11 = multiply(sF12,sF14),
inference(forward_demodulation,[],[f557,f88]) ).
fof(f557,plain,
sk_c11 = multiply(inverse(sk_c5),sF14),
inference(superposition,[],[f426,f95]) ).
fof(f1479,plain,
( sk_c8 = multiply(sk_c12,identity)
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26 ),
inference(backward_demodulation,[],[f1075,f1471]) ).
fof(f1508,plain,
( ! [X16] : multiply(sk_c7,X16) = multiply(sk_c8,multiply(sk_c12,X16))
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_16
| ~ spl16_26 ),
inference(forward_demodulation,[],[f888,f1471]) ).
fof(f888,plain,
( ! [X16] : multiply(sk_c7,X16) = multiply(sk_c8,multiply(sk_c9,X16))
| ~ spl16_11 ),
inference(backward_demodulation,[],[f414,f194]) ).
fof(f414,plain,
! [X16] : multiply(sk_c8,multiply(sk_c9,X16)) = multiply(sF7,X16),
inference(superposition,[],[f3,f78]) ).
fof(f1498,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1488,f1491]) ).
fof(f1488,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1461,f1484]) ).
fof(f1484,plain,
( sk_c7 = inverse(sk_c12)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(backward_demodulation,[],[f1436,f1483]) ).
fof(f1461,plain,
( sk_c5 = multiply(inverse(sk_c12),identity)
| ~ spl16_4
| ~ spl16_26 ),
inference(forward_demodulation,[],[f1061,f327]) ).
fof(f1491,plain,
( sk_c5 = sk_c7
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1490,f1488]) ).
fof(f1490,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1477,f1484]) ).
fof(f1477,plain,
( sk_c7 = multiply(inverse(sk_c12),identity)
| ~ spl16_8
| ~ spl16_10
| ~ spl16_12
| ~ spl16_16
| ~ spl16_26 ),
inference(backward_demodulation,[],[f1019,f1471]) ).
fof(f1598,plain,
( sk_c9 = inverse(identity)
| ~ spl16_4
| ~ spl16_8
| ~ spl16_10
| ~ spl16_11
| ~ spl16_12
| ~ spl16_13
| ~ spl16_15
| ~ spl16_16
| ~ spl16_26
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1046,f1528]) ).
fof(f1552,plain,
( spl16_25
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f1545,f162,f321]) ).
fof(f321,plain,
( spl16_25
<=> sk_c12 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_25])]) ).
fof(f1545,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl16_5 ),
inference(backward_demodulation,[],[f110,f164]) ).
fof(f110,plain,
inverse(sk_c4) = sF15,
introduced(function_definition,[]) ).
fof(f1470,plain,
( ~ spl16_10
| ~ spl16_12
| spl16_60 ),
inference(avatar_contradiction_clause,[],[f1469]) ).
fof(f1469,plain,
( $false
| ~ spl16_10
| ~ spl16_12
| spl16_60 ),
inference(subsumption_resolution,[],[f1463,f1430]) ).
fof(f1430,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl16_12 ),
inference(forward_demodulation,[],[f68,f200]) ).
fof(f1463,plain,
( sk_c12 != multiply(sk_c6,sk_c9)
| ~ spl16_10
| spl16_60 ),
inference(backward_demodulation,[],[f526,f188]) ).
fof(f526,plain,
( sk_c12 != multiply(sk_c6,sF5)
| spl16_60 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f524,plain,
( spl16_60
<=> sk_c12 = multiply(sk_c6,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_60])]) ).
fof(f1429,plain,
( spl16_53
| ~ spl16_1 ),
inference(avatar_split_clause,[],[f1395,f144,f496]) ).
fof(f144,plain,
( spl16_1
<=> sk_c11 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f1395,plain,
( sk_c12 = multiply(sF15,sk_c11)
| ~ spl16_1 ),
inference(forward_demodulation,[],[f573,f146]) ).
fof(f146,plain,
( sk_c11 = sF6
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f573,plain,
sk_c12 = multiply(sF15,sF6),
inference(forward_demodulation,[],[f556,f110]) ).
fof(f556,plain,
sk_c12 = multiply(inverse(sk_c4),sF6),
inference(superposition,[],[f426,f76]) ).
fof(f76,plain,
multiply(sk_c4,sk_c12) = sF6,
introduced(function_definition,[]) ).
fof(f1077,plain,
( spl16_70
| ~ spl16_7
| ~ spl16_28 ),
inference(avatar_split_clause,[],[f645,f341,f171,f1025]) ).
fof(f645,plain,
( identity = inverse(identity)
| ~ spl16_7
| ~ spl16_28 ),
inference(forward_demodulation,[],[f628,f637]) ).
fof(f637,plain,
( identity = sk_c3
| ~ spl16_7
| ~ spl16_28 ),
inference(forward_demodulation,[],[f633,f2]) ).
fof(f633,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl16_7
| ~ spl16_28 ),
inference(backward_demodulation,[],[f558,f342]) ).
fof(f558,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl16_7 ),
inference(superposition,[],[f426,f293]) ).
fof(f293,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl16_7 ),
inference(superposition,[],[f2,f280]) ).
fof(f280,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl16_7 ),
inference(backward_demodulation,[],[f73,f173]) ).
fof(f173,plain,
( sk_c10 = sF4
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f628,plain,
( identity = inverse(sk_c3)
| ~ spl16_7
| ~ spl16_28 ),
inference(backward_demodulation,[],[f280,f342]) ).
fof(f1068,plain,
( ~ spl16_70
| ~ spl16_28
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f810,f492,f341,f1025]) ).
fof(f492,plain,
( spl16_52
<=> ! [X7] :
( inverse(X7) != multiply(X7,sk_c10)
| sk_c10 != inverse(multiply(X7,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_52])]) ).
fof(f810,plain,
( identity != inverse(identity)
| ~ spl16_28
| ~ spl16_52 ),
inference(duplicate_literal_removal,[],[f803]) ).
fof(f803,plain,
( identity != inverse(identity)
| identity != inverse(identity)
| ~ spl16_28
| ~ spl16_52 ),
inference(superposition,[],[f663,f1]) ).
fof(f663,plain,
( ! [X7] :
( inverse(X7) != multiply(X7,identity)
| identity != inverse(multiply(X7,identity)) )
| ~ spl16_28
| ~ spl16_52 ),
inference(forward_demodulation,[],[f662,f342]) ).
fof(f662,plain,
( ! [X7] :
( sk_c10 != inverse(multiply(X7,sk_c10))
| inverse(X7) != multiply(X7,identity) )
| ~ spl16_28
| ~ spl16_52 ),
inference(forward_demodulation,[],[f493,f342]) ).
fof(f493,plain,
( ! [X7] :
( inverse(X7) != multiply(X7,sk_c10)
| sk_c10 != inverse(multiply(X7,sk_c10)) )
| ~ spl16_52 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f1065,plain,
( spl16_30
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f1063,f157,f350]) ).
fof(f350,plain,
( spl16_30
<=> sk_c11 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_30])]) ).
fof(f1063,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl16_4 ),
inference(backward_demodulation,[],[f88,f159]) ).
fof(f882,plain,
( ~ spl16_4
| ~ spl16_23
| spl16_62 ),
inference(avatar_contradiction_clause,[],[f881]) ).
fof(f881,plain,
( $false
| ~ spl16_4
| ~ spl16_23
| spl16_62 ),
inference(subsumption_resolution,[],[f880,f879]) ).
fof(f879,plain,
( identity = inverse(identity)
| ~ spl16_4
| ~ spl16_23 ),
inference(forward_demodulation,[],[f869,f870]) ).
fof(f870,plain,
( identity = sk_c5
| ~ spl16_4
| ~ spl16_23 ),
inference(forward_demodulation,[],[f866,f2]) ).
fof(f866,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl16_4
| ~ spl16_23 ),
inference(backward_demodulation,[],[f567,f864]) ).
fof(f864,plain,
( identity = sF12
| ~ spl16_4
| ~ spl16_23 ),
inference(forward_demodulation,[],[f159,f313]) ).
fof(f869,plain,
( identity = inverse(sk_c5)
| ~ spl16_4
| ~ spl16_23 ),
inference(backward_demodulation,[],[f88,f864]) ).
fof(f880,plain,
( identity != inverse(identity)
| ~ spl16_4
| ~ spl16_23
| spl16_62 ),
inference(forward_demodulation,[],[f818,f870]) ).
fof(f818,plain,
( identity != inverse(sk_c5)
| spl16_62 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f651,plain,
( ~ spl16_2
| ~ spl16_7
| ~ spl16_28
| spl16_50 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl16_2
| ~ spl16_7
| ~ spl16_28
| spl16_50 ),
inference(subsumption_resolution,[],[f639,f649]) ).
fof(f649,plain,
( identity != sk_c12
| ~ spl16_7
| ~ spl16_28
| spl16_50 ),
inference(forward_demodulation,[],[f648,f1]) ).
fof(f648,plain,
( sk_c12 != multiply(identity,identity)
| ~ spl16_7
| ~ spl16_28
| spl16_50 ),
inference(forward_demodulation,[],[f647,f637]) ).
fof(f647,plain,
( sk_c12 != multiply(sk_c3,identity)
| ~ spl16_28
| spl16_50 ),
inference(forward_demodulation,[],[f486,f342]) ).
fof(f486,plain,
( sk_c12 != multiply(sk_c3,sk_c10)
| spl16_50 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f484,plain,
( spl16_50
<=> sk_c12 = multiply(sk_c3,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_50])]) ).
fof(f639,plain,
( identity = sk_c12
| ~ spl16_2
| ~ spl16_7
| ~ spl16_28 ),
inference(forward_demodulation,[],[f634,f1]) ).
fof(f634,plain,
( sk_c12 = multiply(identity,identity)
| ~ spl16_2
| ~ spl16_7
| ~ spl16_28 ),
inference(backward_demodulation,[],[f574,f342]) ).
fof(f574,plain,
( sk_c12 = multiply(sk_c10,sk_c10)
| ~ spl16_2
| ~ spl16_7 ),
inference(forward_demodulation,[],[f563,f280]) ).
fof(f641,plain,
( ~ spl16_2
| ~ spl16_7
| ~ spl16_9
| ~ spl16_14
| ~ spl16_23
| ~ spl16_28
| spl16_51 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl16_2
| ~ spl16_7
| ~ spl16_9
| ~ spl16_14
| ~ spl16_23
| ~ spl16_28
| spl16_51 ),
inference(subsumption_resolution,[],[f639,f616]) ).
fof(f616,plain,
( identity != sk_c12
| ~ spl16_9
| ~ spl16_14
| ~ spl16_23
| spl16_51 ),
inference(forward_demodulation,[],[f600,f610]) ).
fof(f610,plain,
( ! [X17] : multiply(sk_c10,X17) = X17
| ~ spl16_9
| ~ spl16_14
| ~ spl16_23 ),
inference(forward_demodulation,[],[f609,f1]) ).
fof(f609,plain,
( ! [X17] : multiply(sk_c10,X17) = multiply(identity,X17)
| ~ spl16_9
| ~ spl16_14
| ~ spl16_23 ),
inference(forward_demodulation,[],[f608,f606]) ).
fof(f606,plain,
( identity = sk_c2
| ~ spl16_14
| ~ spl16_23 ),
inference(forward_demodulation,[],[f602,f2]) ).
fof(f602,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl16_14
| ~ spl16_23 ),
inference(backward_demodulation,[],[f555,f313]) ).
fof(f555,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl16_14 ),
inference(superposition,[],[f426,f292]) ).
fof(f292,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl16_14 ),
inference(superposition,[],[f2,f281]) ).
fof(f281,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl16_14 ),
inference(backward_demodulation,[],[f91,f209]) ).
fof(f209,plain,
( sk_c11 = sF13
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f608,plain,
( ! [X17] : multiply(sk_c10,X17) = multiply(sk_c2,X17)
| ~ spl16_9
| ~ spl16_23 ),
inference(forward_demodulation,[],[f593,f1]) ).
fof(f593,plain,
( ! [X17] : multiply(sk_c10,X17) = multiply(sk_c2,multiply(identity,X17))
| ~ spl16_9
| ~ spl16_23 ),
inference(backward_demodulation,[],[f415,f313]) ).
fof(f415,plain,
( ! [X17] : multiply(sk_c10,X17) = multiply(sk_c2,multiply(sk_c11,X17))
| ~ spl16_9 ),
inference(superposition,[],[f3,f284]) ).
fof(f600,plain,
( sk_c12 != multiply(sk_c10,identity)
| ~ spl16_23
| spl16_51 ),
inference(backward_demodulation,[],[f490,f313]) ).
fof(f490,plain,
( sk_c12 != multiply(sk_c10,sk_c11)
| spl16_51 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl16_51
<=> sk_c12 = multiply(sk_c10,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_51])]) ).
fof(f620,plain,
( spl16_28
| ~ spl16_9
| ~ spl16_14
| ~ spl16_23 ),
inference(avatar_split_clause,[],[f619,f312,f207,f180,f341]) ).
fof(f619,plain,
( identity = sk_c10
| ~ spl16_9
| ~ spl16_14
| ~ spl16_23 ),
inference(forward_demodulation,[],[f618,f1]) ).
fof(f618,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl16_9
| ~ spl16_14
| ~ spl16_23 ),
inference(forward_demodulation,[],[f586,f606]) ).
fof(f586,plain,
( sk_c10 = multiply(sk_c2,identity)
| ~ spl16_9
| ~ spl16_23 ),
inference(backward_demodulation,[],[f284,f313]) ).
fof(f572,plain,
( spl16_23
| ~ spl16_48 ),
inference(avatar_split_clause,[],[f571,f476,f312]) ).
fof(f571,plain,
( identity = sk_c11
| ~ spl16_48 ),
inference(forward_demodulation,[],[f554,f2]) ).
fof(f554,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl16_48 ),
inference(superposition,[],[f426,f477]) ).
fof(f477,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl16_48 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f536,plain,
( spl16_48
| ~ spl16_3
| ~ spl16_6 ),
inference(avatar_split_clause,[],[f534,f166,f153,f476]) ).
fof(f534,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl16_3
| ~ spl16_6 ),
inference(superposition,[],[f419,f285]) ).
fof(f419,plain,
( ! [X9] : multiply(sk_c12,multiply(sk_c1,X9)) = X9
| ~ spl16_6 ),
inference(forward_demodulation,[],[f407,f1]) ).
fof(f407,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c12,multiply(sk_c1,X9))
| ~ spl16_6 ),
inference(superposition,[],[f3,f286]) ).
fof(f286,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl16_6 ),
inference(superposition,[],[f2,f282]) ).
fof(f282,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl16_6 ),
inference(backward_demodulation,[],[f67,f168]) ).
fof(f527,plain,
( ~ spl16_58
| spl16_59
| ~ spl16_60
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f430,f270,f524,f521,f517]) ).
fof(f270,plain,
( spl16_20
<=> ! [X8,X10] :
( inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(inverse(X8),sk_c11)
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != multiply(X8,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f430,plain,
( ! [X3] :
( sk_c12 != multiply(sk_c6,sF5)
| inverse(X3) != multiply(X3,sF5)
| sk_c12 != multiply(sF5,sk_c11)
| sF5 != inverse(multiply(X3,sF5)) )
| ~ spl16_20 ),
inference(superposition,[],[f271,f74]) ).
fof(f271,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(multiply(X10,inverse(X8)))
| inverse(X10) != multiply(X10,inverse(X8))
| sk_c12 != multiply(X8,inverse(X8))
| sk_c12 != multiply(inverse(X8),sk_c11) )
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f494,plain,
( ~ spl16_50
| ~ spl16_51
| spl16_52
| ~ spl16_7
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f434,f270,f171,f492,f488,f484]) ).
fof(f434,plain,
( ! [X7] :
( inverse(X7) != multiply(X7,sk_c10)
| sk_c10 != inverse(multiply(X7,sk_c10))
| sk_c12 != multiply(sk_c10,sk_c11)
| sk_c12 != multiply(sk_c3,sk_c10) )
| ~ spl16_7
| ~ spl16_20 ),
inference(superposition,[],[f271,f280]) ).
fof(f482,plain,
( ~ spl16_48
| ~ spl16_26
| spl16_49
| ~ spl16_3
| ~ spl16_6
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f474,f270,f166,f153,f480,f326,f476]) ).
fof(f474,plain,
( ! [X0] :
( sk_c12 != inverse(multiply(X0,sk_c12))
| sk_c12 != sk_c11
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != multiply(sk_c12,sk_c11) )
| ~ spl16_3
| ~ spl16_6
| ~ spl16_20 ),
inference(forward_demodulation,[],[f427,f285]) ).
fof(f427,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c1,sk_c12)
| sk_c12 != multiply(sk_c12,sk_c11)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(multiply(X0,sk_c12)) )
| ~ spl16_6
| ~ spl16_20 ),
inference(superposition,[],[f271,f282]) ).
fof(f402,plain,
( ~ spl16_28
| ~ spl16_38
| ~ spl16_19 ),
inference(avatar_split_clause,[],[f371,f267,f399,f341]) ).
fof(f267,plain,
( spl16_19
<=> ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f371,plain,
( sk_c10 != inverse(inverse(sk_c12))
| identity != sk_c10
| ~ spl16_19 ),
inference(superposition,[],[f268,f2]) ).
fof(f268,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c12)
| sk_c10 != inverse(X5) )
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f397,plain,
( ~ spl16_2
| ~ spl16_7
| ~ spl16_19 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f396,plain,
( $false
| ~ spl16_2
| ~ spl16_7
| ~ spl16_19 ),
inference(subsumption_resolution,[],[f375,f280]) ).
fof(f375,plain,
( sk_c10 != inverse(sk_c3)
| ~ spl16_2
| ~ spl16_19 ),
inference(trivial_inequality_removal,[],[f374]) ).
fof(f374,plain,
( sk_c10 != inverse(sk_c3)
| sk_c10 != sk_c10
| ~ spl16_2
| ~ spl16_19 ),
inference(superposition,[],[f268,f283]) ).
fof(f364,plain,
( ~ spl16_9
| ~ spl16_14
| ~ spl16_18 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| ~ spl16_9
| ~ spl16_14
| ~ spl16_18 ),
inference(subsumption_resolution,[],[f339,f281]) ).
fof(f339,plain,
( sk_c11 != inverse(sk_c2)
| ~ spl16_9
| ~ spl16_18 ),
inference(trivial_inequality_removal,[],[f338]) ).
fof(f338,plain,
( sk_c11 != inverse(sk_c2)
| sk_c10 != sk_c10
| ~ spl16_9
| ~ spl16_18 ),
inference(superposition,[],[f265,f284]) ).
fof(f265,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl16_18
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f353,plain,
( ~ spl16_30
| ~ spl16_13
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f336,f264,f203,f350]) ).
fof(f336,plain,
( sk_c10 != sF14
| sk_c11 != inverse(sk_c5)
| ~ spl16_18 ),
inference(superposition,[],[f265,f95]) ).
fof(f324,plain,
( ~ spl16_1
| ~ spl16_25
| ~ spl16_17 ),
inference(avatar_split_clause,[],[f297,f261,f321,f144]) ).
fof(f261,plain,
( spl16_17
<=> ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f297,plain,
( sk_c12 != inverse(sk_c4)
| sk_c11 != sF6
| ~ spl16_17 ),
inference(superposition,[],[f262,f76]) ).
fof(f262,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f301,plain,
( ~ spl16_3
| ~ spl16_6
| ~ spl16_17 ),
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| ~ spl16_3
| ~ spl16_6
| ~ spl16_17 ),
inference(subsumption_resolution,[],[f299,f282]) ).
fof(f299,plain,
( sk_c12 != inverse(sk_c1)
| ~ spl16_3
| ~ spl16_17 ),
inference(trivial_inequality_removal,[],[f296]) ).
fof(f296,plain,
( sk_c11 != sk_c11
| sk_c12 != inverse(sk_c1)
| ~ spl16_3
| ~ spl16_17 ),
inference(superposition,[],[f262,f285]) ).
fof(f278,plain,
( spl16_9
| spl16_15 ),
inference(avatar_split_clause,[],[f93,f212,f180]) ).
fof(f93,plain,
( sk_c7 = sF3
| sk_c10 = sF9 ),
inference(definition_folding,[],[f31,f71,f81]) ).
fof(f31,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f277,plain,
( spl16_9
| spl16_10 ),
inference(avatar_split_clause,[],[f82,f186,f180]) ).
fof(f82,plain,
( sk_c9 = sF5
| sk_c10 = sF9 ),
inference(definition_folding,[],[f29,f74,f81]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f275,plain,
( spl16_6
| spl16_4 ),
inference(avatar_split_clause,[],[f142,f157,f166]) ).
fof(f142,plain,
( sk_c11 = sF12
| sk_c12 = sF0 ),
inference(definition_folding,[],[f17,f88,f67]) ).
fof(f17,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f272,plain,
( spl16_17
| spl16_17
| spl16_18
| spl16_18
| spl16_19
| spl16_20 ),
inference(avatar_split_clause,[],[f66,f270,f267,f264,f264,f261,f261]) ).
fof(f66,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( inverse(X10) != multiply(X10,inverse(X8))
| sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X8,inverse(X8))
| inverse(X8) != inverse(multiply(X10,inverse(X8)))
| sk_c12 != inverse(X6)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| sk_c10 != multiply(X5,sk_c12) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X10,X11,X8,X6,X7,X4,X5] :
( sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != multiply(inverse(X8),sk_c11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != inverse(X6)
| multiply(X10,inverse(X8)) != X11
| inverse(X8) != inverse(X11)
| sk_c10 != multiply(X5,sk_c12)
| inverse(X10) != X11
| sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X8,inverse(X8))
| sk_c11 != multiply(X3,sk_c12)
| sk_c11 != multiply(X6,sk_c12) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( inverse(X8) != X9
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != multiply(X9,sk_c11)
| sk_c10 != multiply(X7,sk_c11)
| sk_c12 != inverse(X6)
| multiply(X10,X9) != X11
| inverse(X11) != X9
| sk_c10 != multiply(X5,sk_c12)
| inverse(X10) != X11
| sk_c10 != inverse(X5)
| sk_c11 != inverse(X7)
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X8,X9)
| sk_c11 != multiply(X3,sk_c12)
| sk_c11 != multiply(X6,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f259,plain,
( spl16_4
| spl16_7 ),
inference(avatar_split_clause,[],[f119,f171,f157]) ).
fof(f119,plain,
( sk_c10 = sF4
| sk_c11 = sF12 ),
inference(definition_folding,[],[f47,f88,f73]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f258,plain,
( spl16_11
| spl16_7 ),
inference(avatar_split_clause,[],[f131,f171,f192]) ).
fof(f131,plain,
( sk_c10 = sF4
| sk_c7 = sF7 ),
inference(definition_folding,[],[f53,f78,f73]) ).
fof(f53,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f257,plain,
( spl16_7
| spl16_13 ),
inference(avatar_split_clause,[],[f96,f203,f171]) ).
fof(f96,plain,
( sk_c10 = sF14
| sk_c10 = sF4 ),
inference(definition_folding,[],[f46,f73,f95]) ).
fof(f46,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f255,plain,
( spl16_6
| spl16_12 ),
inference(avatar_split_clause,[],[f69,f198,f166]) ).
fof(f69,plain,
( sk_c12 = sF1
| sk_c12 = sF0 ),
inference(definition_folding,[],[f18,f68,f67]) ).
fof(f18,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f252,plain,
( spl16_14
| spl16_10 ),
inference(avatar_split_clause,[],[f100,f186,f207]) ).
fof(f100,plain,
( sk_c9 = sF5
| sk_c11 = sF13 ),
inference(definition_folding,[],[f39,f74,f91]) ).
fof(f39,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f251,plain,
( spl16_14
| spl16_11 ),
inference(avatar_split_clause,[],[f133,f192,f207]) ).
fof(f133,plain,
( sk_c7 = sF7
| sk_c11 = sF13 ),
inference(definition_folding,[],[f43,f91,f78]) ).
fof(f43,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f250,plain,
( spl16_3
| spl16_10 ),
inference(avatar_split_clause,[],[f113,f186,f153]) ).
fof(f113,plain,
( sk_c9 = sF5
| sk_c11 = sF8 ),
inference(definition_folding,[],[f9,f79,f74]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c6)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f249,plain,
( spl16_14
| spl16_1 ),
inference(avatar_split_clause,[],[f124,f144,f207]) ).
fof(f124,plain,
( sk_c11 = sF6
| sk_c11 = sF13 ),
inference(definition_folding,[],[f34,f91,f76]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f248,plain,
( spl16_7
| spl16_12 ),
inference(avatar_split_clause,[],[f102,f198,f171]) ).
fof(f102,plain,
( sk_c12 = sF1
| sk_c10 = sF4 ),
inference(definition_folding,[],[f48,f68,f73]) ).
fof(f48,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f247,plain,
( spl16_14
| spl16_16 ),
inference(avatar_split_clause,[],[f98,f225,f207]) ).
fof(f98,plain,
( sk_c12 = sF10
| sk_c11 = sF13 ),
inference(definition_folding,[],[f40,f83,f91]) ).
fof(f40,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f246,plain,
( spl16_3
| spl16_16 ),
inference(avatar_split_clause,[],[f85,f225,f153]) ).
fof(f85,plain,
( sk_c12 = sF10
| sk_c11 = sF8 ),
inference(definition_folding,[],[f10,f83,f79]) ).
fof(f10,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f245,plain,
( spl16_14
| spl16_12 ),
inference(avatar_split_clause,[],[f139,f198,f207]) ).
fof(f139,plain,
( sk_c12 = sF1
| sk_c11 = sF13 ),
inference(definition_folding,[],[f38,f68,f91]) ).
fof(f38,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f244,plain,
( spl16_12
| spl16_3 ),
inference(avatar_split_clause,[],[f126,f153,f198]) ).
fof(f126,plain,
( sk_c11 = sF8
| sk_c12 = sF1 ),
inference(definition_folding,[],[f8,f79,f68]) ).
fof(f8,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f243,plain,
( spl16_16
| spl16_7 ),
inference(avatar_split_clause,[],[f108,f171,f225]) ).
fof(f108,plain,
( sk_c10 = sF4
| sk_c12 = sF10 ),
inference(definition_folding,[],[f50,f83,f73]) ).
fof(f50,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f242,plain,
( spl16_3
| spl16_8 ),
inference(avatar_split_clause,[],[f87,f176,f153]) ).
fof(f87,plain,
( sk_c9 = sF11
| sk_c11 = sF8 ),
inference(definition_folding,[],[f12,f86,f79]) ).
fof(f12,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f241,plain,
( spl16_13
| spl16_3 ),
inference(avatar_split_clause,[],[f129,f153,f203]) ).
fof(f129,plain,
( sk_c11 = sF8
| sk_c10 = sF14 ),
inference(definition_folding,[],[f6,f79,f95]) ).
fof(f6,axiom,
( multiply(sk_c5,sk_c11) = sk_c10
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f240,plain,
( spl16_9
| spl16_12 ),
inference(avatar_split_clause,[],[f130,f198,f180]) ).
fof(f130,plain,
( sk_c12 = sF1
| sk_c10 = sF9 ),
inference(definition_folding,[],[f28,f68,f81]) ).
fof(f28,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f239,plain,
( spl16_11
| spl16_9 ),
inference(avatar_split_clause,[],[f105,f180,f192]) ).
fof(f105,plain,
( sk_c10 = sF9
| sk_c7 = sF7 ),
inference(definition_folding,[],[f33,f78,f81]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c7 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f238,plain,
( spl16_2
| spl16_10 ),
inference(avatar_split_clause,[],[f121,f186,f148]) ).
fof(f121,plain,
( sk_c9 = sF5
| sk_c10 = sF2 ),
inference(definition_folding,[],[f59,f74,f70]) ).
fof(f59,axiom,
( sk_c10 = multiply(sk_c3,sk_c12)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f237,plain,
( spl16_8
| spl16_7 ),
inference(avatar_split_clause,[],[f115,f171,f176]) ).
fof(f115,plain,
( sk_c10 = sF4
| sk_c9 = sF11 ),
inference(definition_folding,[],[f52,f73,f86]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f234,plain,
( spl16_15
| spl16_3 ),
inference(avatar_split_clause,[],[f117,f153,f212]) ).
fof(f117,plain,
( sk_c11 = sF8
| sk_c7 = sF3 ),
inference(definition_folding,[],[f11,f79,f71]) ).
fof(f11,axiom,
( inverse(sk_c8) = sk_c7
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f231,plain,
( spl16_14
| spl16_15 ),
inference(avatar_split_clause,[],[f103,f212,f207]) ).
fof(f103,plain,
( sk_c7 = sF3
| sk_c11 = sF13 ),
inference(definition_folding,[],[f41,f91,f71]) ).
fof(f41,axiom,
( inverse(sk_c8) = sk_c7
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f230,plain,
( spl16_8
| spl16_14 ),
inference(avatar_split_clause,[],[f92,f207,f176]) ).
fof(f92,plain,
( sk_c11 = sF13
| sk_c9 = sF11 ),
inference(definition_folding,[],[f42,f91,f86]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f229,plain,
( spl16_1
| spl16_9 ),
inference(avatar_split_clause,[],[f118,f180,f144]) ).
fof(f118,plain,
( sk_c10 = sF9
| sk_c11 = sF6 ),
inference(definition_folding,[],[f24,f81,f76]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f228,plain,
( spl16_16
| spl16_9 ),
inference(avatar_split_clause,[],[f134,f180,f225]) ).
fof(f134,plain,
( sk_c10 = sF9
| sk_c12 = sF10 ),
inference(definition_folding,[],[f30,f83,f81]) ).
fof(f30,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f223,plain,
( spl16_4
| spl16_9 ),
inference(avatar_split_clause,[],[f89,f180,f157]) ).
fof(f89,plain,
( sk_c10 = sF9
| sk_c11 = sF12 ),
inference(definition_folding,[],[f27,f81,f88]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f222,plain,
( spl16_13
| spl16_9 ),
inference(avatar_split_clause,[],[f125,f180,f203]) ).
fof(f125,plain,
( sk_c10 = sF9
| sk_c10 = sF14 ),
inference(definition_folding,[],[f26,f95,f81]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f220,plain,
( spl16_1
| spl16_6 ),
inference(avatar_split_clause,[],[f107,f166,f144]) ).
fof(f107,plain,
( sk_c12 = sF0
| sk_c11 = sF6 ),
inference(definition_folding,[],[f14,f76,f67]) ).
fof(f14,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f218,plain,
( spl16_15
| spl16_7 ),
inference(avatar_split_clause,[],[f106,f171,f212]) ).
fof(f106,plain,
( sk_c10 = sF4
| sk_c7 = sF3 ),
inference(definition_folding,[],[f51,f73,f71]) ).
fof(f51,axiom,
( inverse(sk_c8) = sk_c7
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f217,plain,
( spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f140,f153,f144]) ).
fof(f140,plain,
( sk_c11 = sF8
| sk_c11 = sF6 ),
inference(definition_folding,[],[f4,f76,f79]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f216,plain,
( spl16_14
| spl16_4 ),
inference(avatar_split_clause,[],[f127,f157,f207]) ).
fof(f127,plain,
( sk_c11 = sF12
| sk_c11 = sF13 ),
inference(definition_folding,[],[f37,f88,f91]) ).
fof(f37,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f210,plain,
( spl16_13
| spl16_14 ),
inference(avatar_split_clause,[],[f141,f207,f203]) ).
fof(f141,plain,
( sk_c11 = sF13
| sk_c10 = sF14 ),
inference(definition_folding,[],[f36,f95,f91]) ).
fof(f36,axiom,
( sk_c11 = inverse(sk_c2)
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f201,plain,
( spl16_2
| spl16_12 ),
inference(avatar_split_clause,[],[f116,f198,f148]) ).
fof(f116,plain,
( sk_c12 = sF1
| sk_c10 = sF2 ),
inference(definition_folding,[],[f58,f68,f70]) ).
fof(f58,axiom,
( sk_c10 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f196,plain,
( spl16_10
| spl16_7 ),
inference(avatar_split_clause,[],[f75,f171,f186]) ).
fof(f75,plain,
( sk_c10 = sF4
| sk_c9 = sF5 ),
inference(definition_folding,[],[f49,f74,f73]) ).
fof(f49,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f195,plain,
( spl16_11
| spl16_3 ),
inference(avatar_split_clause,[],[f80,f153,f192]) ).
fof(f80,plain,
( sk_c11 = sF8
| sk_c7 = sF7 ),
inference(definition_folding,[],[f13,f79,f78]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c9)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f190,plain,
( spl16_7
| spl16_1 ),
inference(avatar_split_clause,[],[f97,f144,f171]) ).
fof(f97,plain,
( sk_c11 = sF6
| sk_c10 = sF4 ),
inference(definition_folding,[],[f44,f76,f73]) ).
fof(f44,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f189,plain,
( spl16_6
| spl16_10 ),
inference(avatar_split_clause,[],[f99,f186,f166]) ).
fof(f99,plain,
( sk_c9 = sF5
| sk_c12 = sF0 ),
inference(definition_folding,[],[f19,f67,f74]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f184,plain,
( spl16_5
| spl16_3 ),
inference(avatar_split_clause,[],[f120,f153,f162]) ).
fof(f120,plain,
( sk_c11 = sF8
| sk_c12 = sF15 ),
inference(definition_folding,[],[f5,f110,f79]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f183,plain,
( spl16_8
| spl16_9 ),
inference(avatar_split_clause,[],[f90,f180,f176]) ).
fof(f90,plain,
( sk_c10 = sF9
| sk_c9 = sF11 ),
inference(definition_folding,[],[f32,f86,f81]) ).
fof(f32,axiom,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c9 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f169,plain,
( spl16_5
| spl16_6 ),
inference(avatar_split_clause,[],[f114,f166,f162]) ).
fof(f114,plain,
( sk_c12 = sF0
| sk_c12 = sF15 ),
inference(definition_folding,[],[f15,f110,f67]) ).
fof(f15,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP254-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.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 : Mon Aug 29 22:21:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.51 % (14817)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (14839)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (14810)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.52 % (14823)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.52 % (14831)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.52 % (14823)Instruction limit reached!
% 0.21/0.52 % (14823)------------------------------
% 0.21/0.52 % (14823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (14823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (14823)Termination reason: Unknown
% 0.21/0.52 % (14823)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (14823)Memory used [KB]: 5884
% 0.21/0.52 % (14823)Time elapsed: 0.003 s
% 0.21/0.52 % (14823)Instructions burned: 4 (million)
% 0.21/0.52 % (14823)------------------------------
% 0.21/0.52 % (14823)------------------------------
% 0.21/0.53 % (14832)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.53 % (14811)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.53 % (14815)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (14814)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.53 % (14813)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.54 % (14812)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.54 % (14838)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.54 % (14812)Instruction limit reached!
% 0.21/0.54 % (14812)------------------------------
% 0.21/0.54 % (14812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (14812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (14812)Termination reason: Unknown
% 0.21/0.54 % (14812)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (14812)Memory used [KB]: 5884
% 0.21/0.54 % (14812)Time elapsed: 0.003 s
% 0.21/0.54 % (14812)Instructions burned: 4 (million)
% 0.21/0.54 % (14812)------------------------------
% 0.21/0.54 % (14812)------------------------------
% 0.21/0.54 % (14830)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (14829)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (14824)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.54 % (14826)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (14822)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.49/0.55 % (14828)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.49/0.55 % (14835)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.49/0.55 % (14818)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.49/0.55 % (14821)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.49/0.55 % (14830)Instruction limit reached!
% 1.49/0.55 % (14830)------------------------------
% 1.49/0.55 % (14830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (14822)Instruction limit reached!
% 1.49/0.55 % (14822)------------------------------
% 1.49/0.55 % (14822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (14822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (14834)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.49/0.55 % (14836)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.49/0.55 % (14837)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.49/0.55 % (14822)Termination reason: Unknown
% 1.49/0.55 % (14822)Termination phase: Saturation
% 1.49/0.55
% 1.49/0.55 % (14822)Memory used [KB]: 5884
% 1.49/0.55 % (14822)Time elapsed: 0.143 s
% 1.49/0.55 % (14822)Instructions burned: 5 (million)
% 1.49/0.55 % (14822)------------------------------
% 1.49/0.55 % (14822)------------------------------
% 1.49/0.55 % (14830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (14830)Termination reason: Unknown
% 1.49/0.55 % (14830)Termination phase: Saturation
% 1.49/0.55
% 1.49/0.55 % (14830)Memory used [KB]: 1407
% 1.49/0.55 % (14830)Time elapsed: 0.008 s
% 1.49/0.55 % (14830)Instructions burned: 8 (million)
% 1.49/0.55 % (14830)------------------------------
% 1.49/0.55 % (14830)------------------------------
% 1.49/0.55 % (14816)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.49/0.55 % (14825)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.49/0.55 % (14819)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.56 % (14826)Instruction limit reached!
% 1.49/0.56 % (14826)------------------------------
% 1.49/0.56 % (14826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (14826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (14826)Termination reason: Unknown
% 1.49/0.56 % (14826)Termination phase: Saturation
% 1.49/0.56
% 1.49/0.56 % (14826)Memory used [KB]: 5884
% 1.49/0.56 % (14826)Time elapsed: 0.005 s
% 1.49/0.56 % (14826)Instructions burned: 3 (million)
% 1.49/0.56 % (14826)------------------------------
% 1.49/0.56 % (14826)------------------------------
% 1.49/0.56 % (14820)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.49/0.56 % (14838)Instruction limit reached!
% 1.49/0.56 % (14838)------------------------------
% 1.49/0.56 % (14838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (14818)Instruction limit reached!
% 1.49/0.56 % (14818)------------------------------
% 1.49/0.56 % (14818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (14818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (14818)Termination reason: Unknown
% 1.49/0.56 % (14818)Termination phase: Saturation
% 1.49/0.56
% 1.49/0.56 % (14818)Memory used [KB]: 1279
% 1.49/0.56 % (14818)Time elapsed: 0.003 s
% 1.49/0.56 % (14818)Instructions burned: 3 (million)
% 1.49/0.56 % (14818)------------------------------
% 1.49/0.56 % (14818)------------------------------
% 1.49/0.56 % (14838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (14838)Termination reason: Unknown
% 1.49/0.56 % (14838)Termination phase: Saturation
% 1.49/0.56
% 1.49/0.56 % (14838)Memory used [KB]: 6268
% 1.49/0.56 % (14838)Time elapsed: 0.142 s
% 1.49/0.56 % (14838)Instructions burned: 21 (million)
% 1.49/0.56 % (14838)------------------------------
% 1.49/0.56 % (14838)------------------------------
% 1.49/0.56 % (14820)Instruction limit reached!
% 1.49/0.56 % (14820)------------------------------
% 1.49/0.56 % (14820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (14833)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.64/0.56 % (14827)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.64/0.57 % (14827)Instruction limit reached!
% 1.64/0.57 % (14827)------------------------------
% 1.64/0.57 % (14827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (14825)Instruction limit reached!
% 1.64/0.57 % (14825)------------------------------
% 1.64/0.57 % (14825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (14825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (14825)Termination reason: Unknown
% 1.64/0.57 % (14825)Termination phase: Finite model building preprocessing
% 1.64/0.57
% 1.64/0.57 % (14825)Memory used [KB]: 1407
% 1.64/0.57 % (14825)Time elapsed: 0.003 s
% 1.64/0.57 % (14825)Instructions burned: 6 (million)
% 1.64/0.57 % (14825)------------------------------
% 1.64/0.57 % (14825)------------------------------
% 1.64/0.57 % (14829)Instruction limit reached!
% 1.64/0.57 % (14829)------------------------------
% 1.64/0.57 % (14829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (14829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (14829)Termination reason: Unknown
% 1.64/0.57 % (14829)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (14829)Memory used [KB]: 6012
% 1.64/0.57 % (14829)Time elapsed: 0.167 s
% 1.64/0.57 % (14829)Instructions burned: 7 (million)
% 1.64/0.57 % (14829)------------------------------
% 1.64/0.57 % (14829)------------------------------
% 1.64/0.57 % (14820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (14820)Termination reason: Unknown
% 1.64/0.57 % (14820)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (14820)Memory used [KB]: 5884
% 1.64/0.57 % (14820)Time elapsed: 0.155 s
% 1.64/0.57 % (14820)Instructions burned: 7 (million)
% 1.64/0.57 % (14820)------------------------------
% 1.64/0.57 % (14820)------------------------------
% 1.64/0.57 % (14815)Instruction limit reached!
% 1.64/0.57 % (14815)------------------------------
% 1.64/0.57 % (14815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (14815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (14815)Termination reason: Unknown
% 1.64/0.57 % (14815)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (14815)Memory used [KB]: 6268
% 1.64/0.57 % (14815)Time elapsed: 0.165 s
% 1.64/0.57 % (14815)Instructions burned: 26 (million)
% 1.64/0.57 % (14815)------------------------------
% 1.64/0.57 % (14815)------------------------------
% 1.64/0.58 % (14833)Refutation not found, incomplete strategy% (14833)------------------------------
% 1.64/0.58 % (14833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58 % (14833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58 % (14833)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.58
% 1.64/0.58 % (14833)Memory used [KB]: 5884
% 1.64/0.58 % (14833)Time elapsed: 0.136 s
% 1.64/0.58 % (14833)Instructions burned: 6 (million)
% 1.64/0.58 % (14833)------------------------------
% 1.64/0.58 % (14833)------------------------------
% 1.64/0.58 % (14814)Instruction limit reached!
% 1.64/0.58 % (14814)------------------------------
% 1.64/0.58 % (14814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58 % (14827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58 % (14827)Termination reason: Unknown
% 1.64/0.58 % (14827)Termination phase: Saturation
% 1.64/0.58
% 1.64/0.58 % (14827)Memory used [KB]: 6012
% 1.64/0.58 % (14827)Time elapsed: 0.156 s
% 1.64/0.58 % (14827)Instructions burned: 8 (million)
% 1.64/0.58 % (14827)------------------------------
% 1.64/0.58 % (14827)------------------------------
% 1.64/0.58 % (14821)Instruction limit reached!
% 1.64/0.58 % (14821)------------------------------
% 1.64/0.58 % (14821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (14824)Instruction limit reached!
% 1.64/0.59 % (14824)------------------------------
% 1.64/0.59 % (14824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (14828)Instruction limit reached!
% 1.64/0.59 % (14828)------------------------------
% 1.64/0.59 % (14828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (14821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (14821)Termination reason: Unknown
% 1.64/0.59 % (14821)Termination phase: Saturation
% 1.64/0.59
% 1.64/0.59 % (14821)Memory used [KB]: 6268
% 1.64/0.59 % (14821)Time elapsed: 0.165 s
% 1.64/0.59 % (14821)Instructions burned: 23 (million)
% 1.64/0.59 % (14821)------------------------------
% 1.64/0.59 % (14821)------------------------------
% 1.64/0.60 % (14814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (14814)Termination reason: Unknown
% 1.64/0.60 % (14814)Termination phase: Saturation
% 1.64/0.60
% 1.64/0.60 % (14814)Memory used [KB]: 6524
% 1.64/0.60 % (14814)Time elapsed: 0.165 s
% 1.64/0.60 % (14814)Instructions burned: 34 (million)
% 1.64/0.60 % (14814)------------------------------
% 1.64/0.60 % (14814)------------------------------
% 1.64/0.60 % (14824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (14824)Termination reason: Unknown
% 1.64/0.60 % (14824)Termination phase: Saturation
% 1.64/0.60
% 1.64/0.60 % (14824)Memory used [KB]: 1663
% 1.64/0.60 % (14824)Time elapsed: 0.140 s
% 1.64/0.60 % (14824)Instructions burned: 30 (million)
% 1.64/0.60 % (14824)------------------------------
% 1.64/0.60 % (14824)------------------------------
% 1.64/0.60 % (14828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (14828)Termination reason: Unknown
% 1.64/0.60 % (14828)Termination phase: Saturation
% 1.64/0.60
% 1.64/0.60 % (14828)Memory used [KB]: 11001
% 1.64/0.60 % (14828)Time elapsed: 0.176 s
% 1.64/0.60 % (14828)Instructions burned: 29 (million)
% 1.64/0.60 % (14828)------------------------------
% 1.64/0.60 % (14828)------------------------------
% 1.64/0.60 % (14817)Instruction limit reached!
% 1.64/0.60 % (14817)------------------------------
% 1.64/0.60 % (14817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.60 % (14817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60 % (14817)Termination reason: Unknown
% 1.64/0.60 % (14817)Termination phase: Saturation
% 1.64/0.60
% 1.64/0.60 % (14817)Memory used [KB]: 7036
% 1.64/0.60 % (14817)Time elapsed: 0.174 s
% 1.64/0.60 % (14817)Instructions burned: 51 (million)
% 1.64/0.60 % (14817)------------------------------
% 1.64/0.60 % (14817)------------------------------
% 1.64/0.61 % (14811)Instruction limit reached!
% 1.64/0.61 % (14811)------------------------------
% 1.64/0.61 % (14811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (14811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (14811)Termination reason: Unknown
% 1.64/0.61 % (14811)Termination phase: Saturation
% 1.64/0.61
% 1.64/0.61 % (14811)Memory used [KB]: 1791
% 1.64/0.61 % (14811)Time elapsed: 0.203 s
% 1.64/0.61 % (14811)Instructions burned: 43 (million)
% 1.64/0.61 % (14811)------------------------------
% 1.64/0.61 % (14811)------------------------------
% 1.64/0.61 % (14816)Instruction limit reached!
% 1.64/0.61 % (14816)------------------------------
% 1.64/0.61 % (14816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (14816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (14816)Termination reason: Unknown
% 1.64/0.61 % (14816)Termination phase: Saturation
% 1.64/0.61
% 1.64/0.61 % (14816)Memory used [KB]: 1663
% 1.64/0.61 % (14816)Time elapsed: 0.160 s
% 1.64/0.61 % (14816)Instructions burned: 50 (million)
% 1.64/0.61 % (14816)------------------------------
% 1.64/0.61 % (14816)------------------------------
% 1.64/0.61 % (14813)Instruction limit reached!
% 1.64/0.61 % (14813)------------------------------
% 1.64/0.61 % (14813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (14813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (14813)Termination reason: Unknown
% 1.64/0.61 % (14813)Termination phase: Saturation
% 1.64/0.61
% 1.64/0.61 % (14813)Memory used [KB]: 6780
% 1.64/0.61 % (14813)Time elapsed: 0.204 s
% 1.64/0.61 % (14813)Instructions burned: 44 (million)
% 1.64/0.61 % (14813)------------------------------
% 1.64/0.61 % (14813)------------------------------
% 2.05/0.63 % (14834)Instruction limit reached!
% 2.05/0.63 % (14834)------------------------------
% 2.05/0.63 % (14834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (14834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (14834)Termination reason: Unknown
% 2.05/0.63 % (14834)Termination phase: Saturation
% 2.05/0.63
% 2.05/0.63 % (14834)Memory used [KB]: 6780
% 2.05/0.63 % (14834)Time elapsed: 0.200 s
% 2.05/0.63 % (14834)Instructions burned: 48 (million)
% 2.05/0.63 % (14834)------------------------------
% 2.05/0.63 % (14834)------------------------------
% 2.05/0.63 % (14831)Instruction limit reached!
% 2.05/0.63 % (14831)------------------------------
% 2.05/0.63 % (14831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (14819)Instruction limit reached!
% 2.05/0.63 % (14819)------------------------------
% 2.05/0.63 % (14819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (14819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (14819)Termination reason: Unknown
% 2.05/0.63 % (14819)Termination phase: Saturation
% 2.05/0.63
% 2.05/0.63 % (14819)Memory used [KB]: 7036
% 2.05/0.63 % (14819)Time elapsed: 0.228 s
% 2.05/0.63 % (14819)Instructions burned: 51 (million)
% 2.05/0.63 % (14819)------------------------------
% 2.05/0.63 % (14819)------------------------------
% 2.05/0.65 % (14831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.65 % (14831)Termination reason: Unknown
% 2.05/0.65 % (14831)Termination phase: Saturation
% 2.05/0.65
% 2.05/0.65 % (14831)Memory used [KB]: 6780
% 2.05/0.65 % (14831)Time elapsed: 0.211 s
% 2.05/0.65 % (14831)Instructions burned: 67 (million)
% 2.05/0.65 % (14831)------------------------------
% 2.05/0.65 % (14831)------------------------------
% 2.05/0.65 % (14837)Instruction limit reached!
% 2.05/0.65 % (14837)------------------------------
% 2.05/0.65 % (14837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.65 % (14837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.65 % (14837)Termination reason: Unknown
% 2.05/0.65 % (14837)Termination phase: Saturation
% 2.05/0.65
% 2.05/0.65 % (14837)Memory used [KB]: 1918
% 2.05/0.65 % (14837)Time elapsed: 0.234 s
% 2.05/0.65 % (14837)Instructions burned: 73 (million)
% 2.05/0.65 % (14837)------------------------------
% 2.05/0.65 % (14837)------------------------------
% 2.05/0.66 % (14836)Instruction limit reached!
% 2.05/0.66 % (14836)------------------------------
% 2.05/0.66 % (14836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.66 % (14836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.66 % (14836)Termination reason: Unknown
% 2.05/0.66 % (14836)Termination phase: Saturation
% 2.05/0.66
% 2.05/0.66 % (14836)Memory used [KB]: 6652
% 2.05/0.66 % (14836)Time elapsed: 0.233 s
% 2.05/0.66 % (14836)Instructions burned: 71 (million)
% 2.05/0.66 % (14836)------------------------------
% 2.05/0.66 % (14836)------------------------------
% 2.05/0.66 % (14810)First to succeed.
% 2.17/0.67 % (14842)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 2.17/0.67 % (14842)Instruction limit reached!
% 2.17/0.67 % (14842)------------------------------
% 2.17/0.67 % (14842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.67 % (14842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.67 % (14842)Termination reason: Unknown
% 2.17/0.67 % (14842)Termination phase: Saturation
% 2.17/0.67
% 2.17/0.67 % (14842)Memory used [KB]: 1279
% 2.17/0.67 % (14842)Time elapsed: 0.002 s
% 2.17/0.67 % (14842)Instructions burned: 3 (million)
% 2.17/0.67 % (14842)------------------------------
% 2.17/0.67 % (14842)------------------------------
% 2.17/0.67 % (14810)Refutation found. Thanks to Tanya!
% 2.17/0.67 % SZS status Unsatisfiable for theBenchmark
% 2.17/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.17/0.68 % (14810)------------------------------
% 2.17/0.68 % (14810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.68 % (14810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.68 % (14810)Termination reason: Refutation
% 2.17/0.68
% 2.17/0.68 % (14810)Memory used [KB]: 7036
% 2.17/0.68 % (14810)Time elapsed: 0.256 s
% 2.17/0.68 % (14810)Instructions burned: 79 (million)
% 2.17/0.68 % (14810)------------------------------
% 2.17/0.68 % (14810)------------------------------
% 2.17/0.68 % (14809)Success in time 0.304 s
%------------------------------------------------------------------------------