TSTP Solution File: GRP378-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP378-1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:36 EDT 2022
% Result : Unsatisfiable 2.66s 0.75s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 79
% Syntax : Number of formulae : 426 ( 44 unt; 0 def)
% Number of atoms : 1448 ( 526 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1976 ( 954 ~; 989 |; 0 &)
% ( 33 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 34 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 111 ( 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3138,plain,
$false,
inference(avatar_sat_refutation,[],[f141,f150,f164,f171,f172,f177,f187,f195,f196,f201,f203,f204,f207,f209,f210,f211,f212,f215,f218,f220,f221,f222,f224,f226,f228,f230,f231,f245,f316,f319,f337,f384,f393,f482,f516,f545,f594,f655,f789,f883,f884,f960,f1044,f1135,f1145,f1156,f1163,f1418,f1589,f1888,f1937,f2095,f2289,f2325,f2443,f2594,f2610,f2868,f2901,f2954,f3108,f3137]) ).
fof(f3137,plain,
( ~ spl15_11
| ~ spl15_20
| spl15_43 ),
inference(avatar_contradiction_clause,[],[f3136]) ).
fof(f3136,plain,
( $false
| ~ spl15_11
| ~ spl15_20
| spl15_43 ),
inference(subsumption_resolution,[],[f3135,f3063]) ).
fof(f3063,plain,
( identity != sk_c10
| ~ spl15_11
| spl15_43 ),
inference(superposition,[],[f645,f176]) ).
fof(f176,plain,
( sk_c10 = sF13
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl15_11
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f645,plain,
( identity != sF13
| spl15_43 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f643,plain,
( spl15_43
<=> identity = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
fof(f3135,plain,
( identity = sk_c10
| ~ spl15_20 ),
inference(forward_demodulation,[],[f3132,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3132,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_20 ),
inference(superposition,[],[f274,f292]) ).
fof(f292,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl15_20
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f274,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f261,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f261,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(f3108,plain,
( ~ spl15_3
| ~ spl15_11
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f3107]) ).
fof(f3107,plain,
( $false
| ~ spl15_3
| ~ spl15_11
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f3106,f2246]) ).
fof(f2246,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f64,f136]) ).
fof(f136,plain,
( sk_c11 = sF4
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl15_3
<=> sk_c11 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f64,plain,
inverse(sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f3106,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl15_11
| ~ spl15_18 ),
inference(trivial_inequality_removal,[],[f3105]) ).
fof(f3105,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c3)
| ~ spl15_11
| ~ spl15_18 ),
inference(superposition,[],[f241,f2290]) ).
fof(f2290,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f90,f176]) ).
fof(f90,plain,
multiply(sk_c3,sk_c11) = sF13,
introduced(function_definition,[]) ).
fof(f241,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c11)
| sk_c11 != inverse(X5) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl15_18
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f2954,plain,
( ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| spl15_33
| ~ spl15_55 ),
inference(avatar_contradiction_clause,[],[f2953]) ).
fof(f2953,plain,
( $false
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| spl15_33
| ~ spl15_55 ),
inference(subsumption_resolution,[],[f2952,f354]) ).
fof(f354,plain,
( identity != sk_c11
| spl15_33 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl15_33
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f2952,plain,
( identity = sk_c11
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_55 ),
inference(forward_demodulation,[],[f2940,f2937]) ).
fof(f2937,plain,
( identity = multiply(sk_c5,sk_c5)
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_55 ),
inference(backward_demodulation,[],[f842,f2933]) ).
fof(f2933,plain,
( sk_c5 = sk_c8
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_55 ),
inference(backward_demodulation,[],[f2383,f2932]) ).
fof(f2932,plain,
( ! [X12] : multiply(sk_c5,X12) = X12
| ~ spl15_3
| ~ spl15_5
| ~ spl15_11
| ~ spl15_12
| ~ spl15_55 ),
inference(forward_demodulation,[],[f2931,f2892]) ).
fof(f2892,plain,
( ! [X18] : multiply(sk_c11,X18) = X18
| ~ spl15_3
| ~ spl15_55 ),
inference(forward_demodulation,[],[f2891,f1]) ).
fof(f2891,plain,
( ! [X18] : multiply(sk_c11,multiply(identity,X18)) = X18
| ~ spl15_3
| ~ spl15_55 ),
inference(forward_demodulation,[],[f2180,f729]) ).
fof(f729,plain,
( identity = sk_c3
| ~ spl15_55 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f728,plain,
( spl15_55
<=> identity = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).
fof(f2180,plain,
( ! [X18] : multiply(sk_c11,multiply(sk_c3,X18)) = X18
| ~ spl15_3 ),
inference(backward_demodulation,[],[f276,f136]) ).
fof(f276,plain,
! [X18] : multiply(sF4,multiply(sk_c3,X18)) = X18,
inference(forward_demodulation,[],[f272,f1]) ).
fof(f272,plain,
! [X18] : multiply(sF4,multiply(sk_c3,X18)) = multiply(identity,X18),
inference(superposition,[],[f3,f253]) ).
fof(f253,plain,
identity = multiply(sF4,sk_c3),
inference(superposition,[],[f2,f64]) ).
fof(f2931,plain,
( ! [X12] : multiply(sk_c5,X12) = multiply(sk_c11,X12)
| ~ spl15_3
| ~ spl15_5
| ~ spl15_11
| ~ spl15_12
| ~ spl15_55 ),
inference(forward_demodulation,[],[f2279,f2894]) ).
fof(f2894,plain,
( ! [X13] : multiply(sk_c8,X13) = X13
| ~ spl15_3
| ~ spl15_11
| ~ spl15_12
| ~ spl15_55 ),
inference(backward_demodulation,[],[f2880,f2892]) ).
fof(f2880,plain,
( ! [X13] : multiply(sk_c8,multiply(sk_c11,X13)) = multiply(sk_c11,X13)
| ~ spl15_11
| ~ spl15_12
| ~ spl15_55 ),
inference(forward_demodulation,[],[f2879,f181]) ).
fof(f181,plain,
( sk_c11 = sF14
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl15_12
<=> sk_c11 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f2879,plain,
( ! [X13] : multiply(sF14,X13) = multiply(sk_c8,multiply(sk_c11,X13))
| ~ spl15_11
| ~ spl15_55 ),
inference(forward_demodulation,[],[f267,f2870]) ).
fof(f2870,plain,
( sk_c11 = sk_c10
| ~ spl15_11
| ~ spl15_55 ),
inference(forward_demodulation,[],[f2869,f1]) ).
fof(f2869,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl15_11
| ~ spl15_55 ),
inference(forward_demodulation,[],[f2290,f729]) ).
fof(f267,plain,
! [X13] : multiply(sF14,X13) = multiply(sk_c8,multiply(sk_c10,X13)),
inference(superposition,[],[f3,f92]) ).
fof(f92,plain,
multiply(sk_c8,sk_c10) = sF14,
introduced(function_definition,[]) ).
fof(f2279,plain,
( ! [X12] : multiply(sk_c11,X12) = multiply(sk_c5,multiply(sk_c8,X12))
| ~ spl15_5 ),
inference(forward_demodulation,[],[f266,f145]) ).
fof(f145,plain,
( sk_c11 = sF0
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl15_5
<=> sk_c11 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f266,plain,
! [X12] : multiply(sk_c5,multiply(sk_c8,X12)) = multiply(sF0,X12),
inference(superposition,[],[f3,f58]) ).
fof(f58,plain,
multiply(sk_c5,sk_c8) = sF0,
introduced(function_definition,[]) ).
fof(f2383,plain,
( sk_c8 = multiply(sk_c5,sk_c5)
| ~ spl15_8
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(backward_demodulation,[],[f2107,f2377]) ).
fof(f2377,plain,
( sk_c5 = sk_c6
| ~ spl15_8
| ~ spl15_13 ),
inference(backward_demodulation,[],[f828,f840]) ).
fof(f840,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl15_13 ),
inference(backward_demodulation,[],[f428,f186]) ).
fof(f186,plain,
( sk_c8 = sF2
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl15_13
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f428,plain,
sk_c5 = multiply(inverse(sF2),identity),
inference(superposition,[],[f274,f255]) ).
fof(f255,plain,
identity = multiply(sF2,sk_c5),
inference(superposition,[],[f2,f61]) ).
fof(f61,plain,
inverse(sk_c5) = sF2,
introduced(function_definition,[]) ).
fof(f828,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl15_8 ),
inference(backward_demodulation,[],[f432,f158]) ).
fof(f158,plain,
( sk_c8 = sF12
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl15_8
<=> sk_c8 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f432,plain,
sk_c6 = multiply(inverse(sF12),identity),
inference(superposition,[],[f274,f257]) ).
fof(f257,plain,
identity = multiply(sF12,sk_c6),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
inverse(sk_c6) = sF12,
introduced(function_definition,[]) ).
fof(f2107,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl15_10
| ~ spl15_15 ),
inference(forward_demodulation,[],[f820,f169]) ).
fof(f169,plain,
( sk_c6 = sF9
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl15_10
<=> sk_c6 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f820,plain,
( sk_c8 = multiply(sk_c6,sF9)
| ~ spl15_15 ),
inference(backward_demodulation,[],[f435,f200]) ).
fof(f200,plain,
( sk_c6 = sF8
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl15_15
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f435,plain,
sk_c8 = multiply(sF8,sF9),
inference(forward_demodulation,[],[f424,f71]) ).
fof(f71,plain,
inverse(sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f424,plain,
sk_c8 = multiply(inverse(sk_c7),sF9),
inference(superposition,[],[f274,f73]) ).
fof(f73,plain,
multiply(sk_c7,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f842,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl15_13 ),
inference(backward_demodulation,[],[f255,f186]) ).
fof(f2940,plain,
( sk_c11 = multiply(sk_c5,sk_c5)
| ~ spl15_3
| ~ spl15_5
| ~ spl15_8
| ~ spl15_10
| ~ spl15_11
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_55 ),
inference(backward_demodulation,[],[f2235,f2933]) ).
fof(f2235,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl15_5 ),
inference(forward_demodulation,[],[f58,f145]) ).
fof(f2901,plain,
( ~ spl15_3
| spl15_28
| ~ spl15_55 ),
inference(avatar_contradiction_clause,[],[f2900]) ).
fof(f2900,plain,
( $false
| ~ spl15_3
| spl15_28
| ~ spl15_55 ),
inference(subsumption_resolution,[],[f2899,f1]) ).
fof(f2899,plain,
( sk_c11 != multiply(identity,sk_c11)
| ~ spl15_3
| spl15_28
| ~ spl15_55 ),
inference(forward_demodulation,[],[f2181,f729]) ).
fof(f2181,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl15_3
| spl15_28 ),
inference(backward_demodulation,[],[f332,f136]) ).
fof(f332,plain,
( sk_c11 != multiply(sk_c3,sF4)
| spl15_28 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl15_28
<=> sk_c11 = multiply(sk_c3,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f2868,plain,
( spl15_38
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f2315,f161,f381]) ).
fof(f381,plain,
( spl15_38
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f161,plain,
( spl15_9
<=> sk_c10 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f2315,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_9 ),
inference(forward_demodulation,[],[f67,f163]) ).
fof(f163,plain,
( sk_c10 = sF6
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f67,plain,
inverse(sk_c4) = sF6,
introduced(function_definition,[]) ).
fof(f2610,plain,
( ~ spl15_12
| ~ spl15_13
| spl15_25 ),
inference(avatar_contradiction_clause,[],[f2609]) ).
fof(f2609,plain,
( $false
| ~ spl15_12
| ~ spl15_13
| spl15_25 ),
inference(subsumption_resolution,[],[f2008,f2603]) ).
fof(f2603,plain,
( sk_c11 != multiply(sk_c8,sk_c10)
| ~ spl15_13
| spl15_25 ),
inference(backward_demodulation,[],[f315,f186]) ).
fof(f315,plain,
( sk_c11 != multiply(sF2,sk_c10)
| spl15_25 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl15_25
<=> sk_c11 = multiply(sF2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f2008,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl15_12 ),
inference(forward_demodulation,[],[f92,f181]) ).
fof(f2594,plain,
( spl15_39
| ~ spl15_9
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f2316,f712,f161,f386]) ).
fof(f386,plain,
( spl15_39
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
fof(f712,plain,
( spl15_51
<=> identity = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
fof(f2316,plain,
( sk_c10 = inverse(identity)
| ~ spl15_9
| ~ spl15_51 ),
inference(forward_demodulation,[],[f2315,f713]) ).
fof(f713,plain,
( identity = sk_c4
| ~ spl15_51 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f2443,plain,
( ~ spl15_1
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_25
| spl15_33
| ~ spl15_39
| ~ spl15_41 ),
inference(avatar_contradiction_clause,[],[f2442]) ).
fof(f2442,plain,
( $false
| ~ spl15_1
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_25
| spl15_33
| ~ spl15_39
| ~ spl15_41 ),
inference(subsumption_resolution,[],[f2401,f354]) ).
fof(f2401,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_25
| ~ spl15_39
| ~ spl15_41 ),
inference(backward_demodulation,[],[f2352,f2399]) ).
fof(f2399,plain,
( ! [X13] : multiply(sk_c8,X13) = X13
| ~ spl15_1
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_25
| ~ spl15_39
| ~ spl15_41 ),
inference(backward_demodulation,[],[f2321,f2396]) ).
fof(f2396,plain,
( ! [X12] : multiply(sk_c11,X12) = X12
| ~ spl15_1
| ~ spl15_5
| ~ spl15_8
| ~ spl15_9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15
| ~ spl15_25
| ~ spl15_39
| ~ spl15_41 ),
inference(backward_demodulation,[],[f2322,f2387]) ).
fof(f2387,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c11,X0)) = X0
| ~ spl15_1
| ~ spl15_8
| ~ spl15_9
| ~ spl15_13
| ~ spl15_15
| ~ spl15_25
| ~ spl15_39
| ~ spl15_41 ),
inference(backward_demodulation,[],[f2361,f2377]) ).
fof(f2361,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c11,X0)) = X0
| ~ spl15_1
| ~ spl15_8
| ~ spl15_9
| ~ spl15_13
| ~ spl15_15
| ~ spl15_25
| ~ spl15_39
| ~ spl15_41 ),
inference(backward_demodulation,[],[f821,f2360]) ).
fof(f2360,plain,
( sk_c11 = sk_c7
| ~ spl15_1
| ~ spl15_8
| ~ spl15_9
| ~ spl15_13
| ~ spl15_15
| ~ spl15_25
| ~ spl15_39
| ~ spl15_41 ),
inference(backward_demodulation,[],[f826,f2352]) ).
fof(f826,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl15_8
| ~ spl15_15 ),
inference(backward_demodulation,[],[f825,f158]) ).
fof(f825,plain,
( sk_c7 = multiply(sF12,identity)
| ~ spl15_15 ),
inference(forward_demodulation,[],[f819,f82]) ).
fof(f819,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl15_15 ),
inference(backward_demodulation,[],[f431,f200]) ).
fof(f431,plain,
sk_c7 = multiply(inverse(sF8),identity),
inference(superposition,[],[f274,f256]) ).
fof(f256,plain,
identity = multiply(sF8,sk_c7),
inference(superposition,[],[f2,f71]) ).
fof(f821,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl15_15 ),
inference(backward_demodulation,[],[f404,f200]) ).
fof(f404,plain,
! [X0] : multiply(sF8,multiply(sk_c7,X0)) = X0,
inference(forward_demodulation,[],[f403,f1]) ).
fof(f403,plain,
! [X0] : multiply(identity,X0) = multiply(sF8,multiply(sk_c7,X0)),
inference(superposition,[],[f3,f256]) ).
fof(f2322,plain,
( ! [X12] : multiply(sk_c11,X12) = multiply(sk_c5,multiply(sk_c11,X12))
| ~ spl15_5
| ~ spl15_12
| ~ spl15_39 ),
inference(backward_demodulation,[],[f2279,f2321]) ).
fof(f2321,plain,
( ! [X13] : multiply(sk_c8,X13) = multiply(sk_c11,X13)
| ~ spl15_12
| ~ spl15_39 ),
inference(forward_demodulation,[],[f2320,f181]) ).
fof(f2320,plain,
( ! [X13] : multiply(sk_c8,X13) = multiply(sF14,X13)
| ~ spl15_39 ),
inference(forward_demodulation,[],[f267,f2295]) ).
fof(f2295,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl15_39 ),
inference(forward_demodulation,[],[f414,f387]) ).
fof(f387,plain,
( sk_c10 = inverse(identity)
| ~ spl15_39 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f414,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f274,f1]) ).
fof(f2352,plain,
( sk_c11 = multiply(sk_c8,identity)
| ~ spl15_1
| ~ spl15_9
| ~ spl15_13
| ~ spl15_25
| ~ spl15_39
| ~ spl15_41 ),
inference(backward_demodulation,[],[f2319,f2332]) ).
fof(f2332,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_9
| ~ spl15_39
| ~ spl15_41 ),
inference(forward_demodulation,[],[f2331,f2295]) ).
fof(f2331,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl15_1
| ~ spl15_9
| ~ spl15_41 ),
inference(forward_demodulation,[],[f2330,f163]) ).
fof(f2330,plain,
( sk_c10 = multiply(sF6,identity)
| ~ spl15_1
| ~ spl15_41 ),
inference(forward_demodulation,[],[f439,f1192]) ).
fof(f1192,plain,
( identity = sF11
| ~ spl15_1
| ~ spl15_41 ),
inference(backward_demodulation,[],[f127,f396]) ).
fof(f396,plain,
( identity = sk_c9
| ~ spl15_41 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f395,plain,
( spl15_41
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).
fof(f127,plain,
( sk_c9 = sF11
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl15_1
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f439,plain,
sk_c10 = multiply(sF6,sF11),
inference(forward_demodulation,[],[f421,f67]) ).
fof(f421,plain,
sk_c10 = multiply(inverse(sk_c4),sF11),
inference(superposition,[],[f274,f77]) ).
fof(f77,plain,
multiply(sk_c4,sk_c10) = sF11,
introduced(function_definition,[]) ).
fof(f2319,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl15_13
| ~ spl15_25 ),
inference(backward_demodulation,[],[f314,f186]) ).
fof(f314,plain,
( sk_c11 = multiply(sF2,sk_c10)
| ~ spl15_25 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f2325,plain,
( ~ spl15_5
| ~ spl15_13
| spl15_24 ),
inference(avatar_contradiction_clause,[],[f2324]) ).
fof(f2324,plain,
( $false
| ~ spl15_5
| ~ spl15_13
| spl15_24 ),
inference(subsumption_resolution,[],[f2084,f2235]) ).
fof(f2084,plain,
( sk_c11 != multiply(sk_c5,sk_c8)
| ~ spl15_13
| spl15_24 ),
inference(forward_demodulation,[],[f311,f186]) ).
fof(f311,plain,
( sk_c11 != multiply(sk_c5,sF2)
| spl15_24 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl15_24
<=> sk_c11 = multiply(sk_c5,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f2289,plain,
( spl15_20
| ~ spl15_3
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f2288,f174,f134,f291]) ).
fof(f2288,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_3
| ~ spl15_11 ),
inference(backward_demodulation,[],[f2284,f176]) ).
fof(f2284,plain,
( sk_c11 = multiply(sk_c11,sF13)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f436,f136]) ).
fof(f436,plain,
sk_c11 = multiply(sF4,sF13),
inference(forward_demodulation,[],[f420,f64]) ).
fof(f420,plain,
sk_c11 = multiply(inverse(sk_c3),sF13),
inference(superposition,[],[f274,f90]) ).
fof(f2095,plain,
( ~ spl15_9
| ~ spl15_11
| ~ spl15_43
| spl15_44
| ~ spl15_51
| ~ spl15_55 ),
inference(avatar_contradiction_clause,[],[f2094]) ).
fof(f2094,plain,
( $false
| ~ spl15_9
| ~ spl15_11
| ~ spl15_43
| spl15_44
| ~ spl15_51
| ~ spl15_55 ),
inference(subsumption_resolution,[],[f2093,f1159]) ).
fof(f1159,plain,
( identity = inverse(identity)
| ~ spl15_9
| ~ spl15_11
| ~ spl15_43
| ~ spl15_51 ),
inference(backward_demodulation,[],[f1143,f713]) ).
fof(f1143,plain,
( identity = inverse(sk_c4)
| ~ spl15_9
| ~ spl15_11
| ~ spl15_43 ),
inference(backward_demodulation,[],[f67,f1138]) ).
fof(f1138,plain,
( identity = sF6
| ~ spl15_9
| ~ spl15_11
| ~ spl15_43 ),
inference(forward_demodulation,[],[f163,f1038]) ).
fof(f1038,plain,
( identity = sk_c10
| ~ spl15_11
| ~ spl15_43 ),
inference(forward_demodulation,[],[f176,f644]) ).
fof(f644,plain,
( identity = sF13
| ~ spl15_43 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f2093,plain,
( identity != inverse(identity)
| spl15_44
| ~ spl15_55 ),
inference(forward_demodulation,[],[f649,f729]) ).
fof(f649,plain,
( identity != inverse(sk_c3)
| spl15_44 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl15_44
<=> identity = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).
fof(f1937,plain,
( spl15_33
| ~ spl15_3
| ~ spl15_44
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f1936,f728,f647,f134,f352]) ).
fof(f1936,plain,
( identity = sk_c11
| ~ spl15_3
| ~ spl15_44
| ~ spl15_55 ),
inference(forward_demodulation,[],[f136,f1925]) ).
fof(f1925,plain,
( identity = sF4
| ~ spl15_44
| ~ spl15_55 ),
inference(forward_demodulation,[],[f1924,f936]) ).
fof(f936,plain,
( identity = inverse(identity)
| ~ spl15_44
| ~ spl15_55 ),
inference(forward_demodulation,[],[f648,f729]) ).
fof(f648,plain,
( identity = inverse(sk_c3)
| ~ spl15_44 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f1924,plain,
( sF4 = inverse(identity)
| ~ spl15_55 ),
inference(forward_demodulation,[],[f64,f729]) ).
fof(f1888,plain,
( ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(avatar_contradiction_clause,[],[f1887]) ).
fof(f1887,plain,
( $false
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(subsumption_resolution,[],[f1882,f936]) ).
fof(f1882,plain,
( identity != inverse(identity)
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(trivial_inequality_removal,[],[f1873]) ).
fof(f1873,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(superposition,[],[f1603,f1]) ).
fof(f1603,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(subsumption_resolution,[],[f1602,f1]) ).
fof(f1602,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != multiply(identity,identity)
| identity != inverse(X0) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(forward_demodulation,[],[f1601,f936]) ).
fof(f1601,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,identity)
| identity != multiply(identity,inverse(identity)) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(forward_demodulation,[],[f1600,f936]) ).
fof(f1600,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,identity)
| identity != multiply(identity,inverse(identity)) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(forward_demodulation,[],[f1599,f936]) ).
fof(f1599,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != multiply(identity,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(subsumption_resolution,[],[f1594,f2]) ).
fof(f1594,plain,
( ! [X0] :
( identity != multiply(inverse(identity),identity)
| identity != multiply(identity,inverse(identity))
| inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity)) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(superposition,[],[f1592,f936]) ).
fof(f1592,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(X7,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),identity) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43 ),
inference(forward_demodulation,[],[f1591,f353]) ).
fof(f353,plain,
( identity = sk_c11
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f1591,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),identity)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| identity != multiply(X7,inverse(inverse(X9))) )
| ~ spl15_11
| ~ spl15_19
| ~ spl15_33
| ~ spl15_43 ),
inference(forward_demodulation,[],[f1590,f1038]) ).
fof(f1590,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| identity != multiply(X7,inverse(inverse(X9)))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10) )
| ~ spl15_19
| ~ spl15_33 ),
inference(forward_demodulation,[],[f244,f353]) ).
fof(f244,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X9) != multiply(X9,inverse(inverse(X9))) )
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl15_19
<=> ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c11 != multiply(X7,inverse(inverse(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f1589,plain,
( ~ spl15_11
| spl15_14
| ~ spl15_33
| ~ spl15_41
| ~ spl15_43 ),
inference(avatar_contradiction_clause,[],[f1588]) ).
fof(f1588,plain,
( $false
| ~ spl15_11
| spl15_14
| ~ spl15_33
| ~ spl15_41
| ~ spl15_43 ),
inference(subsumption_resolution,[],[f1587,f1586]) ).
fof(f1586,plain,
( identity != sF1
| ~ spl15_11
| spl15_14
| ~ spl15_43 ),
inference(forward_demodulation,[],[f192,f1038]) ).
fof(f192,plain,
( sk_c10 != sF1
| spl15_14 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl15_14
<=> sk_c10 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f1587,plain,
( identity = sF1
| ~ spl15_33
| ~ spl15_41 ),
inference(forward_demodulation,[],[f886,f396]) ).
fof(f886,plain,
( sk_c9 = sF1
| ~ spl15_33 ),
inference(forward_demodulation,[],[f885,f1]) ).
fof(f885,plain,
( multiply(identity,sk_c9) = sF1
| ~ spl15_33 ),
inference(forward_demodulation,[],[f59,f353]) ).
fof(f59,plain,
multiply(sk_c11,sk_c9) = sF1,
introduced(function_definition,[]) ).
fof(f1418,plain,
( ~ spl15_3
| ~ spl15_11
| spl15_29
| ~ spl15_33
| ~ spl15_43 ),
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1417,plain,
( $false
| ~ spl15_3
| ~ spl15_11
| spl15_29
| ~ spl15_33
| ~ spl15_43 ),
inference(subsumption_resolution,[],[f1416,f353]) ).
fof(f1416,plain,
( identity != sk_c11
| ~ spl15_3
| ~ spl15_11
| spl15_29
| ~ spl15_33
| ~ spl15_43 ),
inference(forward_demodulation,[],[f1415,f1]) ).
fof(f1415,plain,
( sk_c11 != multiply(identity,identity)
| ~ spl15_3
| ~ spl15_11
| spl15_29
| ~ spl15_33
| ~ spl15_43 ),
inference(forward_demodulation,[],[f1414,f875]) ).
fof(f875,plain,
( identity = sF4
| ~ spl15_3
| ~ spl15_33 ),
inference(forward_demodulation,[],[f136,f353]) ).
fof(f1414,plain,
( sk_c11 != multiply(sF4,identity)
| ~ spl15_11
| spl15_29
| ~ spl15_43 ),
inference(forward_demodulation,[],[f336,f1038]) ).
fof(f336,plain,
( sk_c11 != multiply(sF4,sk_c10)
| spl15_29 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl15_29
<=> sk_c11 = multiply(sF4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f1163,plain,
( spl15_41
| ~ spl15_1
| ~ spl15_11
| ~ spl15_43
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f1162,f712,f643,f174,f125,f395]) ).
fof(f1162,plain,
( identity = sk_c9
| ~ spl15_1
| ~ spl15_11
| ~ spl15_43
| ~ spl15_51 ),
inference(forward_demodulation,[],[f1158,f1]) ).
fof(f1158,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_1
| ~ spl15_11
| ~ spl15_43
| ~ spl15_51 ),
inference(backward_demodulation,[],[f1153,f713]) ).
fof(f1153,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl15_1
| ~ spl15_11
| ~ spl15_43 ),
inference(backward_demodulation,[],[f1064,f127]) ).
fof(f1064,plain,
( sF11 = multiply(sk_c4,identity)
| ~ spl15_11
| ~ spl15_43 ),
inference(backward_demodulation,[],[f77,f1038]) ).
fof(f1156,plain,
( spl15_41
| ~ spl15_11
| ~ spl15_40
| ~ spl15_43 ),
inference(avatar_split_clause,[],[f1155,f643,f390,f174,f395]) ).
fof(f390,plain,
( spl15_40
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).
fof(f1155,plain,
( identity = sk_c9
| ~ spl15_11
| ~ spl15_40
| ~ spl15_43 ),
inference(forward_demodulation,[],[f391,f1038]) ).
fof(f391,plain,
( sk_c10 = sk_c9
| ~ spl15_40 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f1145,plain,
( spl15_51
| ~ spl15_9
| ~ spl15_11
| ~ spl15_43 ),
inference(avatar_split_clause,[],[f1144,f643,f174,f161,f712]) ).
fof(f1144,plain,
( identity = sk_c4
| ~ spl15_9
| ~ spl15_11
| ~ spl15_43 ),
inference(forward_demodulation,[],[f1141,f2]) ).
fof(f1141,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl15_9
| ~ spl15_11
| ~ spl15_43 ),
inference(backward_demodulation,[],[f430,f1138]) ).
fof(f430,plain,
sk_c4 = multiply(inverse(sF6),identity),
inference(superposition,[],[f274,f254]) ).
fof(f254,plain,
identity = multiply(sF6,sk_c4),
inference(superposition,[],[f2,f67]) ).
fof(f1135,plain,
( spl15_7
| ~ spl15_11
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1134,plain,
( $false
| spl15_7
| ~ spl15_11
| ~ spl15_33
| ~ spl15_43
| ~ spl15_44
| ~ spl15_55 ),
inference(subsumption_resolution,[],[f1042,f1121]) ).
fof(f1121,plain,
( identity != sF10
| spl15_7
| ~ spl15_11
| ~ spl15_43 ),
inference(forward_demodulation,[],[f153,f1038]) ).
fof(f153,plain,
( sk_c10 != sF10
| spl15_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl15_7
<=> sk_c10 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f1042,plain,
( identity = sF10
| ~ spl15_33
| ~ spl15_44
| ~ spl15_55 ),
inference(forward_demodulation,[],[f1041,f936]) ).
fof(f1041,plain,
( inverse(identity) = sF10
| ~ spl15_33 ),
inference(forward_demodulation,[],[f75,f353]) ).
fof(f75,plain,
inverse(sk_c11) = sF10,
introduced(function_definition,[]) ).
fof(f1044,plain,
( spl15_7
| ~ spl15_9
| ~ spl15_33
| ~ spl15_44
| ~ spl15_51
| ~ spl15_55 ),
inference(avatar_contradiction_clause,[],[f1043]) ).
fof(f1043,plain,
( $false
| spl15_7
| ~ spl15_9
| ~ spl15_33
| ~ spl15_44
| ~ spl15_51
| ~ spl15_55 ),
inference(subsumption_resolution,[],[f1042,f1035]) ).
fof(f1035,plain,
( identity != sF10
| spl15_7
| ~ spl15_9
| ~ spl15_44
| ~ spl15_51
| ~ spl15_55 ),
inference(forward_demodulation,[],[f153,f985]) ).
fof(f985,plain,
( identity = sk_c10
| ~ spl15_9
| ~ spl15_44
| ~ spl15_51
| ~ spl15_55 ),
inference(forward_demodulation,[],[f163,f977]) ).
fof(f977,plain,
( identity = sF6
| ~ spl15_44
| ~ spl15_51
| ~ spl15_55 ),
inference(backward_demodulation,[],[f954,f936]) ).
fof(f954,plain,
( sF6 = inverse(identity)
| ~ spl15_51 ),
inference(forward_demodulation,[],[f67,f713]) ).
fof(f960,plain,
( ~ spl15_1
| spl15_40
| ~ spl15_51 ),
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f959,plain,
( $false
| ~ spl15_1
| spl15_40
| ~ spl15_51 ),
inference(subsumption_resolution,[],[f958,f392]) ).
fof(f392,plain,
( sk_c10 != sk_c9
| spl15_40 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f958,plain,
( sk_c10 = sk_c9
| ~ spl15_1
| ~ spl15_51 ),
inference(forward_demodulation,[],[f127,f949]) ).
fof(f949,plain,
( sk_c10 = sF11
| ~ spl15_51 ),
inference(forward_demodulation,[],[f948,f1]) ).
fof(f948,plain,
( sF11 = multiply(identity,sk_c10)
| ~ spl15_51 ),
inference(forward_demodulation,[],[f77,f713]) ).
fof(f884,plain,
( spl15_44
| ~ spl15_3
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f880,f352,f134,f647]) ).
fof(f880,plain,
( identity = inverse(sk_c3)
| ~ spl15_3
| ~ spl15_33 ),
inference(backward_demodulation,[],[f64,f875]) ).
fof(f883,plain,
( spl15_55
| ~ spl15_3
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f882,f352,f134,f728]) ).
fof(f882,plain,
( identity = sk_c3
| ~ spl15_3
| ~ spl15_33 ),
inference(forward_demodulation,[],[f877,f2]) ).
fof(f877,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl15_3
| ~ spl15_33 ),
inference(backward_demodulation,[],[f429,f875]) ).
fof(f429,plain,
sk_c3 = multiply(inverse(sF4),identity),
inference(superposition,[],[f274,f253]) ).
fof(f789,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(subsumption_resolution,[],[f781,f590]) ).
fof(f590,plain,
( identity = inverse(identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_33 ),
inference(backward_demodulation,[],[f569,f584]) ).
fof(f584,plain,
( identity = sk_c2
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_33 ),
inference(forward_demodulation,[],[f501,f528]) ).
fof(f528,plain,
( identity = multiply(sk_c2,identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_33 ),
inference(backward_demodulation,[],[f498,f523]) ).
fof(f523,plain,
( sk_c2 = inverse(sk_c10)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_33 ),
inference(backward_demodulation,[],[f249,f522]) ).
fof(f522,plain,
( sk_c10 = sk_c1
| ~ spl15_2
| ~ spl15_4
| ~ spl15_33 ),
inference(backward_demodulation,[],[f427,f499]) ).
fof(f499,plain,
( sk_c10 = multiply(inverse(sk_c2),identity)
| ~ spl15_2
| ~ spl15_33 ),
inference(backward_demodulation,[],[f426,f353]) ).
fof(f426,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c11)
| ~ spl15_2 ),
inference(superposition,[],[f274,f248]) ).
fof(f248,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f63,f131]) ).
fof(f131,plain,
( sk_c11 = sF3
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl15_2
<=> sk_c11 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f63,plain,
multiply(sk_c2,sk_c10) = sF3,
introduced(function_definition,[]) ).
fof(f427,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl15_4 ),
inference(superposition,[],[f274,f258]) ).
fof(f258,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl15_4 ),
inference(superposition,[],[f2,f249]) ).
fof(f249,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f69,f140]) ).
fof(f140,plain,
( sk_c2 = sF7
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl15_4
<=> sk_c2 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f69,plain,
inverse(sk_c1) = sF7,
introduced(function_definition,[]) ).
fof(f498,plain,
( identity = multiply(inverse(sk_c10),identity)
| ~ spl15_7
| ~ spl15_33 ),
inference(backward_demodulation,[],[f419,f353]) ).
fof(f419,plain,
( sk_c11 = multiply(inverse(sk_c10),identity)
| ~ spl15_7 ),
inference(superposition,[],[f274,f252]) ).
fof(f252,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl15_7 ),
inference(superposition,[],[f2,f251]) ).
fof(f251,plain,
( inverse(sk_c11) = sk_c10
| ~ spl15_7 ),
inference(backward_demodulation,[],[f75,f154]) ).
fof(f154,plain,
( sk_c10 = sF10
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f501,plain,
( sk_c2 = multiply(sk_c2,identity)
| ~ spl15_4
| ~ spl15_6
| ~ spl15_33 ),
inference(backward_demodulation,[],[f437,f353]) ).
fof(f437,plain,
( sk_c2 = multiply(sk_c2,sk_c11)
| ~ spl15_4
| ~ spl15_6 ),
inference(forward_demodulation,[],[f425,f249]) ).
fof(f425,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c11)
| ~ spl15_6 ),
inference(superposition,[],[f274,f247]) ).
fof(f247,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| ~ spl15_6 ),
inference(backward_demodulation,[],[f66,f149]) ).
fof(f149,plain,
( sk_c11 = sF5
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl15_6
<=> sk_c11 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f66,plain,
multiply(sk_c1,sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f569,plain,
( sk_c2 = inverse(identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_33 ),
inference(backward_demodulation,[],[f523,f552]) ).
fof(f552,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_7
| ~ spl15_33 ),
inference(backward_demodulation,[],[f499,f542]) ).
fof(f542,plain,
( ! [X1] : multiply(inverse(sk_c2),X1) = X1
| ~ spl15_2
| ~ spl15_7
| ~ spl15_33 ),
inference(backward_demodulation,[],[f521,f534]) ).
fof(f534,plain,
( ! [X9] : multiply(sk_c10,X9) = X9
| ~ spl15_7
| ~ spl15_33 ),
inference(forward_demodulation,[],[f497,f1]) ).
fof(f497,plain,
( ! [X9] : multiply(sk_c10,multiply(identity,X9)) = X9
| ~ spl15_7
| ~ spl15_33 ),
inference(backward_demodulation,[],[f275,f353]) ).
fof(f275,plain,
( ! [X9] : multiply(sk_c10,multiply(sk_c11,X9)) = X9
| ~ spl15_7 ),
inference(forward_demodulation,[],[f263,f1]) ).
fof(f263,plain,
( ! [X9] : multiply(sk_c10,multiply(sk_c11,X9)) = multiply(identity,X9)
| ~ spl15_7 ),
inference(superposition,[],[f3,f252]) ).
fof(f521,plain,
( ! [X1] : multiply(sk_c10,X1) = multiply(inverse(sk_c2),X1)
| ~ spl15_2
| ~ spl15_33 ),
inference(forward_demodulation,[],[f507,f1]) ).
fof(f507,plain,
( ! [X1] : multiply(sk_c10,X1) = multiply(inverse(sk_c2),multiply(identity,X1))
| ~ spl15_2
| ~ spl15_33 ),
inference(backward_demodulation,[],[f460,f353]) ).
fof(f460,plain,
( ! [X1] : multiply(sk_c10,X1) = multiply(inverse(sk_c2),multiply(sk_c11,X1))
| ~ spl15_2 ),
inference(superposition,[],[f274,f270]) ).
fof(f270,plain,
( ! [X16] : multiply(sk_c2,multiply(sk_c10,X16)) = multiply(sk_c11,X16)
| ~ spl15_2 ),
inference(superposition,[],[f3,f248]) ).
fof(f781,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(trivial_inequality_removal,[],[f774]) ).
fof(f774,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(superposition,[],[f694,f1]) ).
fof(f694,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(subsumption_resolution,[],[f693,f1]) ).
fof(f693,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(forward_demodulation,[],[f692,f590]) ).
fof(f692,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0)
| identity != multiply(identity,inverse(identity)) )
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(forward_demodulation,[],[f691,f590]) ).
fof(f691,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != inverse(identity)
| identity != multiply(identity,inverse(identity)) )
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(forward_demodulation,[],[f690,f590]) ).
fof(f690,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity)
| identity != multiply(identity,inverse(identity)) )
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(subsumption_resolution,[],[f669,f2]) ).
fof(f669,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity)
| identity != multiply(inverse(identity),identity)
| identity != multiply(identity,inverse(identity)) )
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(superposition,[],[f658,f590]) ).
fof(f658,plain,
( ! [X9,X7] :
( inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(X7,inverse(inverse(X9)))
| identity != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(forward_demodulation,[],[f657,f353]) ).
fof(f657,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(inverse(X9)),identity)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| identity != multiply(X7,inverse(inverse(X9))) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(forward_demodulation,[],[f656,f353]) ).
fof(f656,plain,
( ! [X9,X7] :
( sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(inverse(inverse(X9)),identity)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9)) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_19
| ~ spl15_33 ),
inference(forward_demodulation,[],[f244,f552]) ).
fof(f655,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_18
| ~ spl15_33 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_18
| ~ spl15_33 ),
inference(subsumption_resolution,[],[f653,f590]) ).
fof(f653,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_18
| ~ spl15_33 ),
inference(forward_demodulation,[],[f640,f590]) ).
fof(f640,plain,
( identity != inverse(inverse(identity))
| ~ spl15_2
| ~ spl15_7
| ~ spl15_18
| ~ spl15_33 ),
inference(trivial_inequality_removal,[],[f636]) ).
fof(f636,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl15_2
| ~ spl15_7
| ~ spl15_18
| ~ spl15_33 ),
inference(superposition,[],[f605,f2]) ).
fof(f605,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_18
| ~ spl15_33 ),
inference(forward_demodulation,[],[f604,f353]) ).
fof(f604,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl15_2
| ~ spl15_7
| ~ spl15_18
| ~ spl15_33 ),
inference(forward_demodulation,[],[f603,f552]) ).
fof(f603,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl15_18
| ~ spl15_33 ),
inference(forward_demodulation,[],[f241,f353]) ).
fof(f594,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_14
| ~ spl15_17
| ~ spl15_33 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_7
| ~ spl15_14
| ~ spl15_17
| ~ spl15_33 ),
inference(subsumption_resolution,[],[f590,f563]) ).
fof(f563,plain,
( identity != inverse(identity)
| ~ spl15_2
| ~ spl15_7
| ~ spl15_14
| ~ spl15_17
| ~ spl15_33 ),
inference(backward_demodulation,[],[f456,f552]) ).
fof(f456,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl15_7
| ~ spl15_14
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f453]) ).
fof(f453,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c10)
| ~ spl15_7
| ~ spl15_14
| ~ spl15_17 ),
inference(superposition,[],[f238,f434]) ).
fof(f434,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl15_7
| ~ spl15_14 ),
inference(forward_demodulation,[],[f418,f251]) ).
fof(f418,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl15_14 ),
inference(superposition,[],[f274,f250]) ).
fof(f250,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f59,f193]) ).
fof(f193,plain,
( sk_c10 = sF1
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f238,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl15_17
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f545,plain,
( ~ spl15_7
| ~ spl15_14
| ~ spl15_33
| spl15_40 ),
inference(avatar_contradiction_clause,[],[f544]) ).
fof(f544,plain,
( $false
| ~ spl15_7
| ~ spl15_14
| ~ spl15_33
| spl15_40 ),
inference(subsumption_resolution,[],[f543,f392]) ).
fof(f543,plain,
( sk_c10 = sk_c9
| ~ spl15_7
| ~ spl15_14
| ~ spl15_33 ),
inference(backward_demodulation,[],[f434,f534]) ).
fof(f516,plain,
( spl15_39
| ~ spl15_7
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f491,f352,f152,f386]) ).
fof(f491,plain,
( sk_c10 = inverse(identity)
| ~ spl15_7
| ~ spl15_33 ),
inference(backward_demodulation,[],[f251,f353]) ).
fof(f482,plain,
( spl15_33
| ~ spl15_4
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f481,f147,f138,f352]) ).
fof(f481,plain,
( identity = sk_c11
| ~ spl15_4
| ~ spl15_6 ),
inference(forward_demodulation,[],[f479,f2]) ).
fof(f479,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c2)
| ~ spl15_4
| ~ spl15_6 ),
inference(superposition,[],[f274,f437]) ).
fof(f393,plain,
( ~ spl15_39
| ~ spl15_40
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f356,f237,f390,f386]) ).
fof(f356,plain,
( sk_c10 != sk_c9
| sk_c10 != inverse(identity)
| ~ spl15_17 ),
inference(superposition,[],[f238,f1]) ).
fof(f384,plain,
( ~ spl15_38
| ~ spl15_1
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f359,f237,f125,f381]) ).
fof(f359,plain,
( sk_c9 != sF11
| sk_c10 != inverse(sk_c4)
| ~ spl15_17 ),
inference(superposition,[],[f238,f77]) ).
fof(f337,plain,
( ~ spl15_28
| ~ spl15_29
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f283,f234,f334,f330]) ).
fof(f234,plain,
( spl15_16
<=> ! [X3] :
( sk_c11 != multiply(X3,inverse(X3))
| sk_c11 != multiply(inverse(X3),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f283,plain,
( sk_c11 != multiply(sF4,sk_c10)
| sk_c11 != multiply(sk_c3,sF4)
| ~ spl15_16 ),
inference(superposition,[],[f235,f64]) ).
fof(f235,plain,
( ! [X3] :
( sk_c11 != multiply(inverse(X3),sk_c10)
| sk_c11 != multiply(X3,inverse(X3)) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f319,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f318,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_6
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f317,f248]) ).
fof(f317,plain,
( sk_c11 != multiply(sk_c2,sk_c10)
| ~ spl15_4
| ~ spl15_6
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f288,f247]) ).
fof(f288,plain,
( sk_c11 != multiply(sk_c1,sk_c2)
| sk_c11 != multiply(sk_c2,sk_c10)
| ~ spl15_4
| ~ spl15_16 ),
inference(superposition,[],[f235,f249]) ).
fof(f316,plain,
( ~ spl15_24
| ~ spl15_25
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f285,f234,f313,f309]) ).
fof(f285,plain,
( sk_c11 != multiply(sF2,sk_c10)
| sk_c11 != multiply(sk_c5,sF2)
| ~ spl15_16 ),
inference(superposition,[],[f235,f61]) ).
fof(f245,plain,
( spl15_16
| spl15_17
| ~ spl15_14
| ~ spl15_7
| spl15_18
| spl15_19 ),
inference(avatar_split_clause,[],[f76,f243,f240,f152,f191,f237,f234]) ).
fof(f76,plain,
! [X3,X6,X9,X7,X5] :
( sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != inverse(X5)
| sk_c10 != sF10
| sk_c10 != sF1
| sk_c10 != inverse(X6)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(X3,inverse(X3))
| sk_c11 != multiply(inverse(X3),sk_c10)
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X5,sk_c11) ),
inference(definition_folding,[],[f57,f59,f75]) ).
fof(f57,plain,
! [X3,X6,X9,X7,X5] :
( sk_c11 != inverse(X5)
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(X3,inverse(X3))
| sk_c11 != multiply(inverse(X3),sk_c10)
| inverse(sk_c11) != sk_c10
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != multiply(sk_c11,sk_c9) ),
inference(equality_resolution,[],[f56]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X5)
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sk_c10 != multiply(X5,sk_c11)
| inverse(X3) != X4
| sk_c11 != multiply(inverse(inverse(X9)),sk_c10)
| sk_c11 != multiply(X7,inverse(inverse(X9)))
| sk_c11 != multiply(X3,X4)
| sk_c11 != multiply(X4,sk_c10)
| inverse(sk_c11) != sk_c10
| inverse(X9) != multiply(X9,inverse(inverse(X9)))
| sk_c10 != multiply(sk_c11,sk_c9) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X5)
| inverse(X7) != inverse(X10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| inverse(X9) != X10
| sk_c10 != multiply(X5,sk_c11)
| inverse(X3) != X4
| sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c11 != multiply(X7,inverse(X10))
| sk_c11 != multiply(X3,X4)
| sk_c11 != multiply(X4,sk_c10)
| inverse(sk_c11) != sk_c10
| multiply(X9,inverse(X10)) != X10
| sk_c10 != multiply(sk_c11,sk_c9) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X5)
| inverse(X10) != X8
| inverse(X7) != X8
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| inverse(X9) != X10
| sk_c10 != multiply(X5,sk_c11)
| inverse(X3) != X4
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(X7,X8)
| sk_c11 != multiply(X3,X4)
| sk_c11 != multiply(X4,sk_c10)
| inverse(sk_c11) != sk_c10
| multiply(X9,X8) != X10
| sk_c10 != multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f231,plain,
( spl15_8
| spl15_4 ),
inference(avatar_split_clause,[],[f83,f138,f156]) ).
fof(f83,plain,
( sk_c2 = sF7
| sk_c8 = sF12 ),
inference(definition_folding,[],[f42,f82,f69]) ).
fof(f42,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f230,plain,
( spl15_6
| spl15_3 ),
inference(avatar_split_clause,[],[f79,f134,f147]) ).
fof(f79,plain,
( sk_c11 = sF4
| sk_c11 = sF5 ),
inference(definition_folding,[],[f25,f64,f66]) ).
fof(f25,axiom,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f228,plain,
( spl15_9
| spl15_6 ),
inference(avatar_split_clause,[],[f68,f147,f161]) ).
fof(f68,plain,
( sk_c11 = sF5
| sk_c10 = sF6 ),
inference(definition_folding,[],[f27,f67,f66]) ).
fof(f27,axiom,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f226,plain,
( spl15_15
| spl15_4 ),
inference(avatar_split_clause,[],[f80,f138,f198]) ).
fof(f80,plain,
( sk_c2 = sF7
| sk_c6 = sF8 ),
inference(definition_folding,[],[f41,f69,f71]) ).
fof(f41,axiom,
( inverse(sk_c7) = sk_c6
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f224,plain,
( spl15_6
| spl15_12 ),
inference(avatar_split_clause,[],[f106,f179,f147]) ).
fof(f106,plain,
( sk_c11 = sF14
| sk_c11 = sF5 ),
inference(definition_folding,[],[f30,f66,f92]) ).
fof(f30,axiom,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f222,plain,
( spl15_5
| spl15_4 ),
inference(avatar_split_clause,[],[f86,f138,f143]) ).
fof(f86,plain,
( sk_c2 = sF7
| sk_c11 = sF0 ),
inference(definition_folding,[],[f38,f58,f69]) ).
fof(f38,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f221,plain,
( spl15_14
| spl15_9 ),
inference(avatar_split_clause,[],[f117,f161,f191]) ).
fof(f117,plain,
( sk_c10 = sF6
| sk_c10 = sF1 ),
inference(definition_folding,[],[f17,f59,f67]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f220,plain,
( spl15_6
| spl15_1 ),
inference(avatar_split_clause,[],[f96,f125,f147]) ).
fof(f96,plain,
( sk_c9 = sF11
| sk_c11 = sF5 ),
inference(definition_folding,[],[f26,f77,f66]) ).
fof(f26,axiom,
( sk_c11 = multiply(sk_c1,sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f218,plain,
( spl15_6
| spl15_10 ),
inference(avatar_split_clause,[],[f74,f167,f147]) ).
fof(f74,plain,
( sk_c6 = sF9
| sk_c11 = sF5 ),
inference(definition_folding,[],[f33,f73,f66]) ).
fof(f33,axiom,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f215,plain,
( spl15_11
| spl15_14 ),
inference(avatar_split_clause,[],[f103,f191,f174]) ).
fof(f103,plain,
( sk_c10 = sF1
| sk_c10 = sF13 ),
inference(definition_folding,[],[f14,f59,f90]) ).
fof(f14,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f212,plain,
( spl15_11
| spl15_2 ),
inference(avatar_split_clause,[],[f91,f129,f174]) ).
fof(f91,plain,
( sk_c11 = sF3
| sk_c10 = sF13 ),
inference(definition_folding,[],[f44,f63,f90]) ).
fof(f44,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f211,plain,
( spl15_11
| spl15_6 ),
inference(avatar_split_clause,[],[f100,f147,f174]) ).
fof(f100,plain,
( sk_c11 = sF5
| sk_c10 = sF13 ),
inference(definition_folding,[],[f24,f66,f90]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f210,plain,
( spl15_13
| spl15_4 ),
inference(avatar_split_clause,[],[f114,f138,f184]) ).
fof(f114,plain,
( sk_c2 = sF7
| sk_c8 = sF2 ),
inference(definition_folding,[],[f39,f61,f69]) ).
fof(f39,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f209,plain,
( spl15_3
| spl15_14 ),
inference(avatar_split_clause,[],[f85,f191,f134]) ).
fof(f85,plain,
( sk_c10 = sF1
| sk_c11 = sF4 ),
inference(definition_folding,[],[f15,f59,f64]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f207,plain,
( spl15_3
| spl15_2 ),
inference(avatar_split_clause,[],[f65,f129,f134]) ).
fof(f65,plain,
( sk_c11 = sF3
| sk_c11 = sF4 ),
inference(definition_folding,[],[f45,f64,f63]) ).
fof(f45,axiom,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f204,plain,
( spl15_14
| spl15_1 ),
inference(avatar_split_clause,[],[f84,f125,f191]) ).
fof(f84,plain,
( sk_c9 = sF11
| sk_c10 = sF1 ),
inference(definition_folding,[],[f16,f59,f77]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c11,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f203,plain,
( spl15_4
| spl15_11 ),
inference(avatar_split_clause,[],[f94,f174,f138]) ).
fof(f94,plain,
( sk_c10 = sF13
| sk_c2 = sF7 ),
inference(definition_folding,[],[f34,f90,f69]) ).
fof(f34,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f201,plain,
( spl15_15
| spl15_6 ),
inference(avatar_split_clause,[],[f72,f147,f198]) ).
fof(f72,plain,
( sk_c11 = sF5
| sk_c6 = sF8 ),
inference(definition_folding,[],[f31,f66,f71]) ).
fof(f31,axiom,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f196,plain,
( spl15_12
| spl15_4 ),
inference(avatar_split_clause,[],[f109,f138,f179]) ).
fof(f109,plain,
( sk_c2 = sF7
| sk_c11 = sF14 ),
inference(definition_folding,[],[f40,f92,f69]) ).
fof(f40,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f195,plain,
( spl15_3
| spl15_7 ),
inference(avatar_split_clause,[],[f123,f152,f134]) ).
fof(f123,plain,
( sk_c10 = sF10
| sk_c11 = sF4 ),
inference(definition_folding,[],[f5,f64,f75]) ).
fof(f5,axiom,
( inverse(sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f187,plain,
( spl15_13
| spl15_6 ),
inference(avatar_split_clause,[],[f89,f147,f184]) ).
fof(f89,plain,
( sk_c11 = sF5
| sk_c8 = sF2 ),
inference(definition_folding,[],[f29,f66,f61]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f177,plain,
( spl15_7
| spl15_11 ),
inference(avatar_split_clause,[],[f101,f174,f152]) ).
fof(f101,plain,
( sk_c10 = sF13
| sk_c10 = sF10 ),
inference(definition_folding,[],[f4,f75,f90]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f172,plain,
( spl15_8
| spl15_6 ),
inference(avatar_split_clause,[],[f102,f147,f156]) ).
fof(f102,plain,
( sk_c11 = sF5
| sk_c8 = sF12 ),
inference(definition_folding,[],[f32,f66,f82]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f171,plain,
( spl15_1
| spl15_4 ),
inference(avatar_split_clause,[],[f113,f138,f125]) ).
fof(f113,plain,
( sk_c2 = sF7
| sk_c9 = sF11 ),
inference(definition_folding,[],[f36,f69,f77]) ).
fof(f36,axiom,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f164,plain,
( spl15_9
| spl15_4 ),
inference(avatar_split_clause,[],[f70,f138,f161]) ).
fof(f70,plain,
( sk_c2 = sF7
| sk_c10 = sF6 ),
inference(definition_folding,[],[f37,f69,f67]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f150,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f88,f147,f143]) ).
fof(f88,plain,
( sk_c11 = sF5
| sk_c11 = sF0 ),
inference(definition_folding,[],[f28,f58,f66]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f141,plain,
( spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f121,f138,f134]) ).
fof(f121,plain,
( sk_c2 = sF7
| sk_c11 = sF4 ),
inference(definition_folding,[],[f35,f69,f64]) ).
fof(f35,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP378-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:27:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (20547)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)
% 0.20/0.51 % (20563)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)
% 0.20/0.51 % (20555)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)
% 0.20/0.52 % (20564)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)
% 0.20/0.52 % (20556)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)
% 0.20/0.53 % (20548)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)
% 0.20/0.53 % (20564)Refutation not found, incomplete strategy% (20564)------------------------------
% 0.20/0.53 % (20564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (20564)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (20564)Memory used [KB]: 5884
% 0.20/0.53 % (20564)Time elapsed: 0.070 s
% 0.20/0.53 % (20564)Instructions burned: 5 (million)
% 0.20/0.53 % (20564)------------------------------
% 0.20/0.53 % (20564)------------------------------
% 0.20/0.53 % (20546)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (20556)Instruction limit reached!
% 0.20/0.53 % (20556)------------------------------
% 0.20/0.53 % (20556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (20556)Termination reason: Unknown
% 0.20/0.53 % (20556)Termination phase: Finite model building preprocessing
% 0.20/0.53
% 0.20/0.53 % (20556)Memory used [KB]: 1535
% 0.20/0.53 % (20556)Time elapsed: 0.007 s
% 0.20/0.53 % (20556)Instructions burned: 8 (million)
% 0.20/0.53 % (20556)------------------------------
% 0.20/0.53 % (20556)------------------------------
% 0.20/0.53 % (20542)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)
% 0.20/0.53 % (20544)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)
% 0.20/0.53 % (20569)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)
% 0.20/0.54 % (20545)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)
% 0.20/0.54 % (20543)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)
% 0.20/0.54 % (20545)Refutation not found, incomplete strategy% (20545)------------------------------
% 0.20/0.54 % (20545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (20545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (20545)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (20545)Memory used [KB]: 6012
% 0.20/0.54 % (20545)Time elapsed: 0.133 s
% 0.20/0.54 % (20545)Instructions burned: 6 (million)
% 0.20/0.54 % (20545)------------------------------
% 0.20/0.54 % (20545)------------------------------
% 0.20/0.54 % (20549)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)
% 0.20/0.54 % (20543)Instruction limit reached!
% 0.20/0.54 % (20543)------------------------------
% 0.20/0.54 % (20543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (20543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (20543)Termination reason: Unknown
% 0.20/0.54 % (20543)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (20543)Memory used [KB]: 5884
% 0.20/0.54 % (20543)Time elapsed: 0.003 s
% 0.20/0.54 % (20543)Instructions burned: 4 (million)
% 0.20/0.54 % (20543)------------------------------
% 0.20/0.54 % (20543)------------------------------
% 0.20/0.54 % (20549)Instruction limit reached!
% 0.20/0.54 % (20549)------------------------------
% 0.20/0.54 % (20549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (20549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (20549)Termination reason: Unknown
% 0.20/0.54 % (20549)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (20549)Memory used [KB]: 5884
% 0.20/0.54 % (20549)Time elapsed: 0.002 s
% 0.20/0.54 % (20549)Instructions burned: 3 (million)
% 0.20/0.54 % (20549)------------------------------
% 0.20/0.54 % (20549)------------------------------
% 0.20/0.54 % (20570)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)
% 0.20/0.54 % (20561)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)
% 0.20/0.54 % (20547)Instruction limit reached!
% 0.20/0.54 % (20547)------------------------------
% 0.20/0.54 % (20547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20566)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)
% 0.20/0.55 % (20565)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)
% 0.20/0.55 % (20562)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)
% 0.20/0.55 % (20560)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)
% 0.20/0.55 % (20553)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)
% 0.20/0.55 % (20553)Instruction limit reached!
% 0.20/0.55 % (20553)------------------------------
% 0.20/0.55 % (20553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20555)Instruction limit reached!
% 0.20/0.55 % (20555)------------------------------
% 0.20/0.55 % (20555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (20553)Termination reason: Unknown
% 0.20/0.55 % (20553)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (20553)Memory used [KB]: 6012
% 0.20/0.55 % (20553)Time elapsed: 0.149 s
% 0.20/0.55 % (20553)Instructions burned: 6 (million)
% 0.20/0.55 % (20553)------------------------------
% 0.20/0.55 % (20553)------------------------------
% 0.20/0.55 % (20551)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)
% 0.20/0.55 % (20555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (20555)Termination reason: Unknown
% 0.20/0.55 % (20555)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (20555)Memory used [KB]: 1663
% 0.20/0.55 % (20555)Time elapsed: 0.131 s
% 0.20/0.55 % (20555)Instructions burned: 29 (million)
% 0.20/0.55 % (20555)------------------------------
% 0.20/0.55 % (20555)------------------------------
% 0.20/0.55 % (20550)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)
% 0.20/0.55 % (20557)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)
% 0.20/0.55 % (20554)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)
% 0.20/0.55 % (20554)Instruction limit reached!
% 0.20/0.55 % (20554)------------------------------
% 0.20/0.55 % (20554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (20554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (20554)Termination reason: Unknown
% 0.20/0.55 % (20554)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (20554)Memory used [KB]: 5884
% 0.20/0.55 % (20554)Time elapsed: 0.003 s
% 0.20/0.55 % (20554)Instructions burned: 3 (million)
% 0.20/0.55 % (20554)------------------------------
% 0.20/0.55 % (20554)------------------------------
% 0.20/0.56 % (20541)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.56 % (20547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (20547)Termination reason: Unknown
% 0.20/0.56 % (20547)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (20547)Memory used [KB]: 1663
% 0.20/0.56 % (20547)Time elapsed: 0.138 s
% 0.20/0.56 % (20547)Instructions burned: 49 (million)
% 0.20/0.56 % (20547)------------------------------
% 0.20/0.56 % (20547)------------------------------
% 0.20/0.56 % (20552)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)
% 0.20/0.56 % (20546)Instruction limit reached!
% 0.20/0.56 % (20546)------------------------------
% 0.20/0.56 % (20546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20558)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.56 % (20567)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)
% 0.20/0.56 % (20559)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)
% 0.20/0.56 % (20568)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)
% 0.20/0.57 % (20561)Instruction limit reached!
% 0.20/0.57 % (20561)------------------------------
% 0.20/0.57 % (20561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20561)Termination reason: Unknown
% 0.20/0.57 % (20558)Instruction limit reached!
% 0.20/0.57 % (20558)------------------------------
% 0.20/0.57 % (20558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20558)Termination reason: Unknown
% 0.20/0.57 % (20558)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (20558)Memory used [KB]: 6012
% 0.20/0.57 % (20558)Time elapsed: 0.157 s
% 0.20/0.57 % (20558)Instructions burned: 8 (million)
% 0.20/0.57 % (20558)------------------------------
% 0.20/0.57 % (20558)------------------------------
% 0.20/0.57 % (20561)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (20561)Memory used [KB]: 1407
% 0.20/0.57 % (20561)Time elapsed: 0.004 s
% 0.20/0.57 % (20561)Instructions burned: 7 (million)
% 0.20/0.57 % (20561)------------------------------
% 0.20/0.57 % (20561)------------------------------
% 0.20/0.57 % (20560)Instruction limit reached!
% 0.20/0.57 % (20560)------------------------------
% 0.20/0.57 % (20560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20560)Termination reason: Unknown
% 0.20/0.57 % (20560)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (20560)Memory used [KB]: 6012
% 0.20/0.57 % (20560)Time elapsed: 0.166 s
% 0.20/0.57 % (20560)Instructions burned: 8 (million)
% 0.20/0.57 % (20560)------------------------------
% 0.20/0.57 % (20560)------------------------------
% 0.20/0.58 % (20557)Instruction limit reached!
% 0.20/0.58 % (20557)------------------------------
% 0.20/0.58 % (20557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (20557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (20557)Termination reason: Unknown
% 0.20/0.58 % (20557)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (20557)Memory used [KB]: 5884
% 0.20/0.58 % (20557)Time elapsed: 0.003 s
% 0.20/0.58 % (20557)Instructions burned: 3 (million)
% 0.20/0.58 % (20557)------------------------------
% 0.20/0.58 % (20557)------------------------------
% 0.20/0.58 % (20569)Instruction limit reached!
% 0.20/0.58 % (20569)------------------------------
% 0.20/0.58 % (20569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (20569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (20569)Termination reason: Unknown
% 0.20/0.58 % (20569)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (20569)Memory used [KB]: 6268
% 0.20/0.58 % (20569)Time elapsed: 0.164 s
% 0.20/0.58 % (20569)Instructions burned: 20 (million)
% 0.20/0.58 % (20569)------------------------------
% 0.20/0.58 % (20569)------------------------------
% 0.20/0.58 % (20551)Instruction limit reached!
% 0.20/0.58 % (20551)------------------------------
% 0.20/0.58 % (20551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (20551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (20551)Termination reason: Unknown
% 0.20/0.58 % (20551)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (20551)Memory used [KB]: 6012
% 0.20/0.58 % (20551)Time elapsed: 0.177 s
% 0.20/0.58 % (20551)Instructions burned: 7 (million)
% 0.20/0.58 % (20551)------------------------------
% 0.20/0.58 % (20551)------------------------------
% 0.20/0.58 % (20546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (20546)Termination reason: Unknown
% 0.20/0.58 % (20546)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (20546)Memory used [KB]: 6268
% 0.20/0.58 % (20546)Time elapsed: 0.159 s
% 0.20/0.58 % (20546)Instructions burned: 25 (million)
% 0.20/0.58 % (20546)------------------------------
% 0.20/0.58 % (20546)------------------------------
% 0.20/0.59 % (20552)Instruction limit reached!
% 0.20/0.59 % (20552)------------------------------
% 0.20/0.59 % (20552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (20552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (20552)Termination reason: Unknown
% 0.20/0.59 % (20552)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (20552)Memory used [KB]: 6268
% 0.20/0.59 % (20552)Time elapsed: 0.174 s
% 0.20/0.59 % (20552)Instructions burned: 23 (million)
% 0.20/0.59 % (20552)------------------------------
% 0.20/0.59 % (20552)------------------------------
% 0.20/0.60 % (20548)Instruction limit reached!
% 0.20/0.60 % (20548)------------------------------
% 0.20/0.60 % (20548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (20548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (20548)Termination reason: Unknown
% 0.20/0.60 % (20548)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (20548)Memory used [KB]: 6908
% 0.20/0.60 % (20548)Time elapsed: 0.146 s
% 0.20/0.60 % (20548)Instructions burned: 53 (million)
% 0.20/0.60 % (20548)------------------------------
% 0.20/0.60 % (20548)------------------------------
% 0.20/0.60 % (20559)Instruction limit reached!
% 0.20/0.60 % (20559)------------------------------
% 0.20/0.60 % (20559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (20559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (20559)Termination reason: Unknown
% 0.20/0.60 % (20559)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (20559)Memory used [KB]: 10746
% 0.20/0.60 % (20559)Time elapsed: 0.184 s
% 0.20/0.60 % (20559)Instructions burned: 28 (million)
% 0.20/0.60 % (20559)------------------------------
% 0.20/0.60 % (20559)------------------------------
% 1.98/0.61 % (20544)Instruction limit reached!
% 1.98/0.61 % (20544)------------------------------
% 1.98/0.61 % (20544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.61 % (20544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.61 % (20544)Termination reason: Unknown
% 1.98/0.61 % (20544)Termination phase: Saturation
% 1.98/0.61
% 1.98/0.61 % (20544)Memory used [KB]: 6652
% 1.98/0.61 % (20544)Time elapsed: 0.201 s
% 1.98/0.61 % (20544)Instructions burned: 43 (million)
% 1.98/0.61 % (20544)------------------------------
% 1.98/0.61 % (20544)------------------------------
% 1.98/0.62 % (20542)Instruction limit reached!
% 1.98/0.62 % (20542)------------------------------
% 1.98/0.62 % (20542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.62 % (20542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.62 % (20542)Termination reason: Unknown
% 1.98/0.62 % (20542)Termination phase: Saturation
% 1.98/0.62
% 1.98/0.62 % (20542)Memory used [KB]: 1791
% 1.98/0.62 % (20542)Time elapsed: 0.213 s
% 1.98/0.62 % (20542)Instructions burned: 43 (million)
% 1.98/0.62 % (20542)------------------------------
% 1.98/0.62 % (20542)------------------------------
% 2.13/0.63 % (20565)Instruction limit reached!
% 2.13/0.63 % (20565)------------------------------
% 2.13/0.63 % (20565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63 % (20565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63 % (20565)Termination reason: Unknown
% 2.13/0.63 % (20565)Termination phase: Saturation
% 2.13/0.63
% 2.13/0.63 % (20565)Memory used [KB]: 6908
% 2.13/0.63 % (20565)Time elapsed: 0.230 s
% 2.13/0.63 % (20565)Instructions burned: 47 (million)
% 2.13/0.63 % (20565)------------------------------
% 2.13/0.63 % (20565)------------------------------
% 2.15/0.64 % (20562)Refutation not found, non-redundant clauses discarded% (20562)------------------------------
% 2.15/0.64 % (20562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64 % (20562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64 % (20562)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.15/0.64
% 2.15/0.64 % (20562)Memory used [KB]: 7036
% 2.15/0.64 % (20562)Time elapsed: 0.240 s
% 2.15/0.64 % (20562)Instructions burned: 65 (million)
% 2.15/0.64 % (20562)------------------------------
% 2.15/0.64 % (20562)------------------------------
% 2.15/0.65 % (20667)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/14Mi)
% 2.15/0.65 % (20668)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 2.15/0.65 % (20568)Refutation not found, non-redundant clauses discarded% (20568)------------------------------
% 2.15/0.65 % (20568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65 % (20568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65 % (20568)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.15/0.65
% 2.15/0.65 % (20568)Memory used [KB]: 1663
% 2.15/0.65 % (20568)Time elapsed: 0.246 s
% 2.15/0.65 % (20568)Instructions burned: 60 (million)
% 2.15/0.65 % (20568)------------------------------
% 2.15/0.65 % (20568)------------------------------
% 2.15/0.66 % (20550)Instruction limit reached!
% 2.15/0.66 % (20550)------------------------------
% 2.15/0.66 % (20550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66 % (20550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66 % (20550)Termination reason: Unknown
% 2.15/0.66 % (20550)Termination phase: Saturation
% 2.15/0.66
% 2.15/0.66 % (20550)Memory used [KB]: 6652
% 2.15/0.66 % (20550)Time elapsed: 0.243 s
% 2.15/0.66 % (20550)Instructions burned: 52 (million)
% 2.15/0.66 % (20550)------------------------------
% 2.15/0.66 % (20550)------------------------------
% 2.15/0.66 % (20563)Instruction limit reached!
% 2.15/0.66 % (20563)------------------------------
% 2.15/0.66 % (20563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.66 % (20563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.66 % (20563)Termination reason: Unknown
% 2.15/0.66 % (20563)Termination phase: Saturation
% 2.15/0.66
% 2.15/0.66 % (20563)Memory used [KB]: 7036
% 2.15/0.66 % (20563)Time elapsed: 0.214 s
% 2.15/0.66 % (20563)Instructions burned: 97 (million)
% 2.15/0.66 % (20563)------------------------------
% 2.15/0.66 % (20563)------------------------------
% 2.15/0.66 % (20670)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/33Mi)
% 2.15/0.67 % (20677)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.15/0.67 % (20669)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)
% 2.15/0.67 % (20669)Instruction limit reached!
% 2.15/0.67 % (20669)------------------------------
% 2.15/0.67 % (20669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67 % (20669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67 % (20669)Termination reason: Unknown
% 2.15/0.67 % (20669)Termination phase: Saturation
% 2.15/0.67
% 2.15/0.67 % (20669)Memory used [KB]: 1279
% 2.15/0.67 % (20669)Time elapsed: 0.002 s
% 2.15/0.67 % (20669)Instructions burned: 3 (million)
% 2.15/0.67 % (20669)------------------------------
% 2.15/0.67 % (20669)------------------------------
% 2.15/0.67 % (20673)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 2.15/0.67 % (20671)dis+21_1:2_av=off:bd=off:fd=off:lcm=predicate:nwc=10.0:s2a=on:s2at=2.0:sp=reverse_arity:spb=goal:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 2.15/0.67 % (20567)Instruction limit reached!
% 2.15/0.67 % (20567)------------------------------
% 2.15/0.67 % (20567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67 % (20567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67 % (20567)Termination reason: Unknown
% 2.15/0.67 % (20567)Termination phase: Saturation
% 2.15/0.67
% 2.15/0.67 % (20567)Memory used [KB]: 7164
% 2.15/0.67 % (20567)Time elapsed: 0.265 s
% 2.15/0.67 % (20567)Instructions burned: 72 (million)
% 2.15/0.67 % (20567)------------------------------
% 2.15/0.67 % (20567)------------------------------
% 2.15/0.67 % (20667)Instruction limit reached!
% 2.15/0.67 % (20667)------------------------------
% 2.15/0.67 % (20667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.67 % (20667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.67 % (20667)Termination reason: Unknown
% 2.15/0.67 % (20667)Termination phase: Saturation
% 2.15/0.67
% 2.15/0.67 % (20667)Memory used [KB]: 6140
% 2.15/0.67 % (20667)Time elapsed: 0.078 s
% 2.15/0.67 % (20667)Instructions burned: 15 (million)
% 2.15/0.67 % (20667)------------------------------
% 2.15/0.67 % (20667)------------------------------
% 2.15/0.68 % (20672)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 2.15/0.68 % (20677)Instruction limit reached!
% 2.15/0.68 % (20677)------------------------------
% 2.15/0.68 % (20677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.68 % (20677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.68 % (20677)Termination reason: Unknown
% 2.15/0.68 % (20677)Termination phase: Saturation
% 2.15/0.68
% 2.15/0.68 % (20677)Memory used [KB]: 6012
% 2.15/0.68 % (20677)Time elapsed: 0.070 s
% 2.15/0.68 % (20677)Instructions burned: 8 (million)
% 2.15/0.68 % (20677)------------------------------
% 2.15/0.68 % (20677)------------------------------
% 2.15/0.68 % (20674)fmb+10_1:1_fde=unused:fmbsr=1.78:fmbsso=preprocessed_usage:gsp=on:ins=1:newcnf=on:updr=off:i=22:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/22Mi)
% 2.15/0.69 % (20566)Instruction limit reached!
% 2.15/0.69 % (20566)------------------------------
% 2.15/0.69 % (20566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.69 % (20566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.69 % (20566)Termination reason: Unknown
% 2.15/0.69 % (20566)Termination phase: Saturation
% 2.15/0.69
% 2.15/0.69 % (20566)Memory used [KB]: 7419
% 2.15/0.69 % (20566)Time elapsed: 0.268 s
% 2.15/0.69 % (20566)Instructions burned: 81 (million)
% 2.15/0.69 % (20566)------------------------------
% 2.15/0.69 % (20566)------------------------------
% 2.15/0.69 % (20675)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 2.15/0.69 % (20683)lrs+1011_1:64_nwc=3.0:s2a=on:sd=1:sgt=64:ss=included:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/37Mi)
% 2.15/0.70 % (20689)lrs+1011_1:1_ep=RS:flr=on:nm=2:sos=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.66/0.70 % (20692)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=151:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/151Mi)
% 2.66/0.71 % (20685)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/147Mi)
% 2.66/0.71 % (20570)Instruction limit reached!
% 2.66/0.71 % (20570)------------------------------
% 2.66/0.71 % (20570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.71 % (20668)Instruction limit reached!
% 2.66/0.71 % (20668)------------------------------
% 2.66/0.71 % (20668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.71 % (20668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.71 % (20668)Termination reason: Unknown
% 2.66/0.71 % (20668)Termination phase: Saturation
% 2.66/0.71
% 2.66/0.71 % (20668)Memory used [KB]: 6396
% 2.66/0.71 % (20668)Time elapsed: 0.118 s
% 2.66/0.71 % (20668)Instructions burned: 41 (million)
% 2.66/0.71 % (20668)------------------------------
% 2.66/0.71 % (20668)------------------------------
% 2.66/0.71 TRYING [1]
% 2.66/0.71 TRYING [2]
% 2.66/0.71 TRYING [3]
% 2.66/0.72 % (20674)Instruction limit reached!
% 2.66/0.72 % (20674)------------------------------
% 2.66/0.72 % (20674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.72 % (20674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.72 % (20674)Termination reason: Unknown
% 2.66/0.72 % (20674)Termination phase: Finite model building constraint generation
% 2.66/0.72
% 2.66/0.72 % (20674)Memory used [KB]: 6524
% 2.66/0.72 % (20674)Time elapsed: 0.130 s
% 2.66/0.72 % (20674)Instructions burned: 23 (million)
% 2.66/0.72 % (20674)------------------------------
% 2.66/0.72 % (20674)------------------------------
% 2.66/0.72 % (20678)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=151:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/151Mi)
% 2.66/0.72 % (20689)Refutation not found, incomplete strategy% (20689)------------------------------
% 2.66/0.72 % (20689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.72 % (20689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.72 % (20689)Termination reason: Refutation not found, incomplete strategy
% 2.66/0.72
% 2.66/0.72 % (20689)Memory used [KB]: 5884
% 2.66/0.72 % (20689)Time elapsed: 0.117 s
% 2.66/0.72 % (20689)Instructions burned: 5 (million)
% 2.66/0.72 % (20689)------------------------------
% 2.66/0.72 % (20689)------------------------------
% 2.66/0.72 % (20673)Instruction limit reached!
% 2.66/0.72 % (20673)------------------------------
% 2.66/0.72 % (20673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.72 % (20687)lrs+1011_1:7_av=off:bsr=on:fd=preordered:nwc=5.0:s2a=on:s2at=2.0:sp=reverse_frequency:to=lpo:urr=on:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/45Mi)
% 2.66/0.72 % (20695)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=116:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/116Mi)
% 2.66/0.72 % (20671)Instruction limit reached!
% 2.66/0.72 % (20671)------------------------------
% 2.66/0.72 % (20671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.72 % (20671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.72 % (20671)Termination reason: Unknown
% 2.66/0.72 % (20671)Termination phase: Saturation
% 2.66/0.72
% 2.66/0.72 % (20671)Memory used [KB]: 1535
% 2.66/0.72 % (20671)Time elapsed: 0.153 s
% 2.66/0.72 % (20671)Instructions burned: 30 (million)
% 2.66/0.72 % (20671)------------------------------
% 2.66/0.72 % (20671)------------------------------
% 2.66/0.72 % (20698)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.66/0.73 % (20698)Instruction limit reached!
% 2.66/0.73 % (20698)------------------------------
% 2.66/0.73 % (20698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.73 % (20698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.73 % (20698)Termination reason: Unknown
% 2.66/0.73 % (20698)Termination phase: Saturation
% 2.66/0.73
% 2.66/0.73 % (20698)Memory used [KB]: 6012
% 2.66/0.73 % (20698)Time elapsed: 0.097 s
% 2.66/0.73 % (20698)Instructions burned: 7 (million)
% 2.66/0.73 % (20698)------------------------------
% 2.66/0.73 % (20698)------------------------------
% 2.66/0.73 % (20673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.73 % (20673)Termination reason: Unknown
% 2.66/0.73 % (20673)Termination phase: Saturation
% 2.66/0.73
% 2.66/0.73 % (20673)Memory used [KB]: 6524
% 2.66/0.73 % (20673)Time elapsed: 0.116 s
% 2.66/0.73 % (20673)Instructions burned: 46 (million)
% 2.66/0.73 % (20673)------------------------------
% 2.66/0.73 % (20673)------------------------------
% 2.66/0.73 % (20570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.73 % (20570)Termination reason: Unknown
% 2.66/0.73 % (20570)Termination phase: Saturation
% 2.66/0.73
% 2.66/0.73 % (20570)Memory used [KB]: 7803
% 2.66/0.73 % (20570)Time elapsed: 0.312 s
% 2.66/0.73 % (20570)Instructions burned: 101 (million)
% 2.66/0.73 % (20570)------------------------------
% 2.66/0.73 % (20570)------------------------------
% 2.66/0.73 % (20672)Instruction limit reached!
% 2.66/0.73 % (20672)------------------------------
% 2.66/0.73 % (20672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.73 % (20704)lrs+2_1:1_drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=57:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/57Mi)
% 2.66/0.73 % (20672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.73 % (20672)Termination reason: Unknown
% 2.66/0.73 % (20672)Termination phase: Saturation
% 2.66/0.73
% 2.66/0.73 % (20672)Memory used [KB]: 6396
% 2.66/0.73 % (20672)Time elapsed: 0.149 s
% 2.66/0.73 % (20672)Instructions burned: 34 (million)
% 2.66/0.73 % (20672)------------------------------
% 2.66/0.73 % (20672)------------------------------
% 2.66/0.74 % (20670)Instruction limit reached!
% 2.66/0.74 % (20670)------------------------------
% 2.66/0.74 % (20670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.74 % (20670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.74 % (20670)Termination reason: Unknown
% 2.66/0.74 % (20670)Termination phase: Saturation
% 2.66/0.74
% 2.66/0.74 % (20670)Memory used [KB]: 6396
% 2.66/0.74 % (20670)Time elapsed: 0.164 s
% 2.66/0.74 % (20670)Instructions burned: 34 (million)
% 2.66/0.74 % (20670)------------------------------
% 2.66/0.74 % (20670)------------------------------
% 2.66/0.74 % (20700)lrs+1011_1:1_aac=none:drc=off:fsr=off:nwc=2.0:sp=occurrence:ss=included:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.66/0.74 % (20541)First to succeed.
% 2.66/0.74 % (20730)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=278:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/278Mi)
% 2.66/0.75 % (20541)Refutation found. Thanks to Tanya!
% 2.66/0.75 % SZS status Unsatisfiable for theBenchmark
% 2.66/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/0.75 % (20541)------------------------------
% 2.66/0.75 % (20541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.75 % (20541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.75 % (20541)Termination reason: Refutation
% 2.66/0.75
% 2.66/0.75 % (20541)Memory used [KB]: 7547
% 2.66/0.75 % (20541)Time elapsed: 0.339 s
% 2.66/0.75 % (20541)Instructions burned: 106 (million)
% 2.66/0.75 % (20541)------------------------------
% 2.66/0.75 % (20541)------------------------------
% 2.66/0.75 % (20538)Success in time 0.398 s
%------------------------------------------------------------------------------