TSTP Solution File: GRP275-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:28:21 EDT 2024

% Result   : Unsatisfiable 0.68s 0.77s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  167 (   6 unt;   0 def)
%            Number of atoms       :  526 ( 184 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  686 ( 327   ~; 343   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1315,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f49,f54,f59,f64,f74,f75,f76,f77,f78,f84,f85,f86,f87,f88,f94,f95,f96,f104,f105,f106,f119,f205,f243,f274,f868,f872,f899,f1019,f1032,f1234,f1257,f1273,f1314]) ).

fof(f1314,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18
    | spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1313]) ).

fof(f1313,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18
    | spl0_21 ),
    inference(trivial_inequality_removal,[],[f1312]) ).

fof(f1312,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18
    | spl0_21 ),
    inference(superposition,[],[f1311,f957]) ).

fof(f957,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f914,f103]) ).

fof(f103,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl0_11
  <=> sk_c8 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f914,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f912,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',left_identity) ).

fof(f912,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f900]) ).

fof(f900,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f93]) ).

fof(f93,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl0_10
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',associativity) ).

fof(f1311,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18
    | spl0_21 ),
    inference(superposition,[],[f867,f1284]) ).

fof(f1284,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(superposition,[],[f73,f1281]) ).

fof(f1281,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1280,f1246]) ).

fof(f1246,plain,
    ( sk_c8 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1240,f1059]) ).

fof(f1059,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f901,f957]) ).

fof(f901,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f39]) ).

fof(f39,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> multiply(sk_c1,sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1240,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f103,f1235]) ).

fof(f1235,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1221,f1217]) ).

fof(f1217,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_8 ),
    inference(superposition,[],[f133,f896]) ).

fof(f896,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f73]) ).

fof(f133,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f124,f1]) ).

fof(f124,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f1221,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl0_10 ),
    inference(superposition,[],[f133,f900]) ).

fof(f1280,plain,
    ( sk_c1 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1279,f1274]) ).

fof(f1274,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1271,f133]) ).

fof(f1271,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c8),multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f1219]) ).

fof(f1219,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f133,f929]) ).

fof(f929,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f909,f39]) ).

fof(f909,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f908,f1]) ).

fof(f908,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f896]) ).

fof(f1279,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1277,f1059]) ).

fof(f1277,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(superposition,[],[f1058,f237]) ).

fof(f237,plain,
    ( identity = sk_c7
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl0_18
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1058,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f901,f896]) ).

fof(f73,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_8
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f867,plain,
    ( sk_c7 != multiply(sk_c8,inverse(sk_c8))
    | spl0_21 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f865,plain,
    ( spl0_21
  <=> sk_c7 = multiply(sk_c8,inverse(sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1273,plain,
    ( spl0_18
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f1269,f71,f37,f236]) ).

fof(f1269,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f1219]) ).

fof(f1257,plain,
    ( ~ spl0_23
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1253,f101,f91,f71,f41,f37,f1005]) ).

fof(f1005,plain,
    ( spl0_23
  <=> sk_c8 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f41,plain,
    ( spl0_2
  <=> multiply(sk_c7,sk_c8) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1253,plain,
    ( sk_c8 != sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f42,f1246]) ).

fof(f42,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f1234,plain,
    ( spl0_23
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f1233,f101,f91,f81,f1005]) ).

fof(f81,plain,
    ( spl0_9
  <=> sk_c7 = multiply(sk_c8,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1233,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1220,f1218]) ).

fof(f1218,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f133,f957]) ).

fof(f1220,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_9 ),
    inference(superposition,[],[f133,f83]) ).

fof(f83,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f1032,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1031,f111,f37,f71]) ).

fof(f111,plain,
    ( spl0_12
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1031,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1023]) ).

fof(f1023,plain,
    ( sk_c7 != sk_c7
    | sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f112,f39]) ).

fof(f112,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f1019,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f996,f114,f101,f91]) ).

fof(f114,plain,
    ( spl0_13
  <=> ! [X4] :
        ( sk_c8 != multiply(X4,sk_c7)
        | sk_c8 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f996,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f995]) ).

fof(f995,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f115,f103]) ).

fof(f115,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c7)
        | sk_c8 != inverse(X4) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f899,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f898,f117,f71,f51,f46,f37]) ).

fof(f46,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f51,plain,
    ( spl0_4
  <=> sk_c8 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f117,plain,
    ( spl0_14
  <=> ! [X6] :
        ( sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X6,inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f898,plain,
    ( multiply(sk_c1,sk_c8) != sk_c7
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f897]) ).

fof(f897,plain,
    ( sk_c7 != sk_c7
    | multiply(sk_c1,sk_c8) != sk_c7
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f895,f136]) ).

fof(f136,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f134,f53]) ).

fof(f53,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f134,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f125,f1]) ).

fof(f125,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f120]) ).

fof(f120,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f48]) ).

fof(f48,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f895,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | multiply(sk_c1,sk_c8) != sk_c7
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(superposition,[],[f118,f73]) ).

fof(f118,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X6,inverse(X6)) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f872,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f871]) ).

fof(f871,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f869]) ).

fof(f869,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f859,f191]) ).

fof(f191,plain,
    ( sk_c7 = multiply(sk_c3,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f159,f187]) ).

fof(f187,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f186,f53]) ).

fof(f186,plain,
    ( sk_c6 = multiply(sk_c3,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f184,f163]) ).

fof(f163,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f134,f159]) ).

fof(f184,plain,
    ( multiply(sk_c3,sk_c7) = multiply(sk_c8,sk_c7)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f127,f176]) ).

fof(f176,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f171,f58]) ).

fof(f58,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl0_5
  <=> sk_c7 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f171,plain,
    ( multiply(sk_c4,sk_c5) = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f128,f140]) ).

fof(f140,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f135,f58]) ).

fof(f135,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f130,f1]) ).

fof(f130,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f121]) ).

fof(f121,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f63]) ).

fof(f63,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_6
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f128,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f58]) ).

fof(f127,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f53]) ).

fof(f159,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f155,f136]) ).

fof(f155,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f127,f43]) ).

fof(f43,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f859,plain,
    ( sk_c7 != multiply(sk_c3,sk_c8)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f858]) ).

fof(f858,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c3,sk_c8)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f855,f136]) ).

fof(f855,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | sk_c7 != multiply(sk_c3,sk_c8)
    | ~ spl0_3
    | ~ spl0_14 ),
    inference(superposition,[],[f118,f48]) ).

fof(f868,plain,
    ( ~ spl0_21
    | ~ spl0_18
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f857,f117,f236,f865]) ).

fof(f857,plain,
    ( identity != sk_c7
    | sk_c7 != multiply(sk_c8,inverse(sk_c8))
    | ~ spl0_14 ),
    inference(superposition,[],[f118,f2]) ).

fof(f274,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f258,f114,f51,f46]) ).

fof(f258,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f255]) ).

fof(f255,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f115,f53]) ).

fof(f243,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f220,f111,f61,f56,f51,f46,f41,f46]) ).

fof(f220,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f217]) ).

fof(f217,plain,
    ( sk_c7 != sk_c7
    | sk_c8 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f112,f191]) ).

fof(f205,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f204]) ).

fof(f204,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f203]) ).

fof(f203,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f188,f136]) ).

fof(f188,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f82,f187]) ).

fof(f82,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f119,plain,
    ( spl0_12
    | ~ spl0_9
    | spl0_13
    | ~ spl0_2
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f35,f117,f114,f41,f114,f81,f111]) ).

fof(f35,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != multiply(inverse(X6),sk_c8)
      | sk_c7 != multiply(X6,inverse(X6))
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X5)
      | multiply(sk_c7,sk_c8) != sk_c6
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8) ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != multiply(X7,sk_c8)
      | inverse(X6) != X7
      | sk_c7 != multiply(X6,X7)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X5)
      | multiply(sk_c7,sk_c8) != sk_c6
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_31) ).

fof(f106,plain,
    ( spl0_11
    | spl0_4 ),
    inference(avatar_split_clause,[],[f30,f51,f101]) ).

fof(f30,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_27) ).

fof(f105,plain,
    ( spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f29,f46,f101]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_26) ).

fof(f104,plain,
    ( spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f28,f41,f101]) ).

fof(f28,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_25) ).

fof(f96,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f24,f51,f91]) ).

fof(f24,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_21) ).

fof(f95,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f23,f46,f91]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_20) ).

fof(f94,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f22,f41,f91]) ).

fof(f22,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_19) ).

fof(f88,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f20,f61,f81]) ).

fof(f20,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_17) ).

fof(f87,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f19,f56,f81]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_16) ).

fof(f86,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f18,f51,f81]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_15) ).

fof(f85,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f17,f46,f81]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_14) ).

fof(f84,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f41,f81]) ).

fof(f16,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_13) ).

fof(f78,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f14,f61,f71]) ).

fof(f14,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_11) ).

fof(f77,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f13,f56,f71]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_10) ).

fof(f76,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f12,f51,f71]) ).

fof(f12,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_9) ).

fof(f75,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f11,f46,f71]) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_8) ).

fof(f74,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f41,f71]) ).

fof(f10,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_7) ).

fof(f64,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f61,f37]) ).

fof(f8,axiom,
    ( sk_c5 = inverse(sk_c4)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_5) ).

fof(f59,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f56,f37]) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_4) ).

fof(f54,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f51,f37]) ).

fof(f6,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_3) ).

fof(f49,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f46,f37]) ).

fof(f5,axiom,
    ( sk_c8 = inverse(sk_c3)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_2) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f41,f37]) ).

fof(f4,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP275-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n023.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 18:41:25 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.q6EtEYgxZJ/Vampire---4.8_25764
% 0.59/0.74  % (26017)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.74  % (26011)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.74  % (26013)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (26012)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.74  % (26015)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.74  % (26014)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.74  % (26016)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.74  % (26017)Refutation not found, incomplete strategy% (26017)------------------------------
% 0.59/0.74  % (26017)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (26017)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (26017)Memory used [KB]: 1077
% 0.59/0.74  % (26017)Time elapsed: 0.003 s
% 0.59/0.74  % (26017)Instructions burned: 7 (million)
% 0.59/0.74  % (26017)------------------------------
% 0.59/0.74  % (26017)------------------------------
% 0.59/0.75  % (26011)Refutation not found, incomplete strategy% (26011)------------------------------
% 0.59/0.75  % (26011)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26011)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26011)Memory used [KB]: 1004
% 0.59/0.75  % (26011)Time elapsed: 0.003 s
% 0.59/0.75  % (26011)Instructions burned: 4 (million)
% 0.59/0.75  % (26011)------------------------------
% 0.59/0.75  % (26011)------------------------------
% 0.59/0.75  % (26014)Refutation not found, incomplete strategy% (26014)------------------------------
% 0.59/0.75  % (26014)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26014)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26014)Memory used [KB]: 995
% 0.59/0.75  % (26014)Time elapsed: 0.003 s
% 0.59/0.75  % (26014)Instructions burned: 4 (million)
% 0.59/0.75  % (26015)Refutation not found, incomplete strategy% (26015)------------------------------
% 0.59/0.75  % (26015)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26015)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26015)Memory used [KB]: 1004
% 0.59/0.75  % (26015)Time elapsed: 0.003 s
% 0.59/0.75  % (26015)Instructions burned: 4 (million)
% 0.59/0.75  % (26015)------------------------------
% 0.59/0.75  % (26015)------------------------------
% 0.59/0.75  % (26014)------------------------------
% 0.59/0.75  % (26014)------------------------------
% 0.59/0.75  % (26016)Refutation not found, incomplete strategy% (26016)------------------------------
% 0.59/0.75  % (26016)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26016)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26016)Memory used [KB]: 1057
% 0.59/0.75  % (26016)Time elapsed: 0.004 s
% 0.59/0.75  % (26016)Instructions burned: 5 (million)
% 0.59/0.75  % (26016)------------------------------
% 0.59/0.75  % (26016)------------------------------
% 0.59/0.75  % (26013)Refutation not found, incomplete strategy% (26013)------------------------------
% 0.59/0.75  % (26013)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26013)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26013)Memory used [KB]: 1065
% 0.59/0.75  % (26013)Time elapsed: 0.005 s
% 0.59/0.75  % (26013)Instructions burned: 6 (million)
% 0.59/0.75  % (26013)------------------------------
% 0.59/0.75  % (26013)------------------------------
% 0.59/0.75  % (26018)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.75  % (26018)Refutation not found, incomplete strategy% (26018)------------------------------
% 0.59/0.75  % (26018)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26018)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26018)Memory used [KB]: 990
% 0.59/0.75  % (26018)Time elapsed: 0.002 s
% 0.59/0.75  % (26018)Instructions burned: 4 (million)
% 0.59/0.75  % (26018)------------------------------
% 0.59/0.75  % (26018)------------------------------
% 0.59/0.75  % (26019)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.75  % (26021)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.75  % (26020)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.75  % (26022)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.75  % (26023)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.75  % (26024)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.75  % (26020)Refutation not found, incomplete strategy% (26020)------------------------------
% 0.59/0.75  % (26020)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26020)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26020)Memory used [KB]: 992
% 0.59/0.75  % (26020)Time elapsed: 0.004 s
% 0.59/0.75  % (26020)Instructions burned: 5 (million)
% 0.59/0.75  % (26020)------------------------------
% 0.59/0.75  % (26020)------------------------------
% 0.59/0.75  % (26025)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.59/0.75  % (26024)Refutation not found, incomplete strategy% (26024)------------------------------
% 0.59/0.75  % (26024)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26024)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26024)Memory used [KB]: 1004
% 0.59/0.75  % (26024)Time elapsed: 0.003 s
% 0.59/0.75  % (26024)Instructions burned: 4 (million)
% 0.59/0.75  % (26024)------------------------------
% 0.59/0.75  % (26024)------------------------------
% 0.59/0.75  % (26023)Refutation not found, incomplete strategy% (26023)------------------------------
% 0.59/0.75  % (26023)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26023)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26023)Memory used [KB]: 1057
% 0.59/0.75  % (26023)Time elapsed: 0.005 s
% 0.59/0.75  % (26023)Instructions burned: 5 (million)
% 0.59/0.75  % (26023)------------------------------
% 0.59/0.75  % (26023)------------------------------
% 0.59/0.75  % (26022)Refutation not found, incomplete strategy% (26022)------------------------------
% 0.59/0.75  % (26022)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (26022)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (26022)Memory used [KB]: 1065
% 0.59/0.75  % (26022)Time elapsed: 0.006 s
% 0.59/0.75  % (26022)Instructions burned: 6 (million)
% 0.59/0.75  % (26022)------------------------------
% 0.59/0.75  % (26022)------------------------------
% 0.59/0.76  % (26026)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.59/0.76  % (26027)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.59/0.76  % (26028)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.59/0.76  % (26029)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.59/0.76  % (26026)Refutation not found, incomplete strategy% (26026)------------------------------
% 0.59/0.76  % (26026)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (26026)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (26026)Memory used [KB]: 991
% 0.59/0.76  % (26026)Time elapsed: 0.004 s
% 0.59/0.76  % (26026)Instructions burned: 4 (million)
% 0.59/0.76  % (26026)------------------------------
% 0.59/0.76  % (26026)------------------------------
% 0.59/0.76  % (26027)Refutation not found, incomplete strategy% (26027)------------------------------
% 0.59/0.76  % (26027)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (26027)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (26027)Memory used [KB]: 1006
% 0.59/0.76  % (26027)Time elapsed: 0.004 s
% 0.59/0.76  % (26027)Instructions burned: 4 (million)
% 0.59/0.76  % (26027)------------------------------
% 0.59/0.76  % (26027)------------------------------
% 0.59/0.76  % (26029)Refutation not found, incomplete strategy% (26029)------------------------------
% 0.59/0.76  % (26029)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (26029)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (26029)Memory used [KB]: 990
% 0.59/0.76  % (26029)Time elapsed: 0.004 s
% 0.59/0.76  % (26029)Instructions burned: 3 (million)
% 0.59/0.76  % (26029)------------------------------
% 0.59/0.76  % (26029)------------------------------
% 0.59/0.76  % (26025)Refutation not found, incomplete strategy% (26025)------------------------------
% 0.59/0.76  % (26025)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (26025)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (26025)Memory used [KB]: 1271
% 0.59/0.76  % (26025)Time elapsed: 0.011 s
% 0.59/0.76  % (26025)Instructions burned: 31 (million)
% 0.59/0.76  % (26025)------------------------------
% 0.59/0.76  % (26025)------------------------------
% 0.59/0.76  % (26030)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.68/0.76  % (26031)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.68/0.76  % (26032)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.68/0.77  % (26033)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.68/0.77  % (26012)First to succeed.
% 0.68/0.77  % (26030)Refutation not found, incomplete strategy% (26030)------------------------------
% 0.68/0.77  % (26030)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77  % (26030)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (26030)Memory used [KB]: 1066
% 0.68/0.77  % (26030)Time elapsed: 0.005 s
% 0.68/0.77  % (26030)Instructions burned: 6 (million)
% 0.68/0.77  % (26030)------------------------------
% 0.68/0.77  % (26030)------------------------------
% 0.68/0.77  % (26032)Refutation not found, incomplete strategy% (26032)------------------------------
% 0.68/0.77  % (26032)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77  % (26032)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (26032)Memory used [KB]: 1012
% 0.68/0.77  % (26032)Time elapsed: 0.004 s
% 0.68/0.77  % (26032)Instructions burned: 5 (million)
% 0.68/0.77  % (26032)------------------------------
% 0.68/0.77  % (26032)------------------------------
% 0.68/0.77  % (26031)Refutation not found, incomplete strategy% (26031)------------------------------
% 0.68/0.77  % (26031)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77  % (26031)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (26031)Memory used [KB]: 1066
% 0.68/0.77  % (26031)Time elapsed: 0.006 s
% 0.68/0.77  % (26031)Instructions burned: 6 (million)
% 0.68/0.77  % (26031)------------------------------
% 0.68/0.77  % (26031)------------------------------
% 0.68/0.77  % (26012)Refutation found. Thanks to Tanya!
% 0.68/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.68/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.77  % (26012)------------------------------
% 0.68/0.77  % (26012)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77  % (26012)Termination reason: Refutation
% 0.68/0.77  
% 0.68/0.77  % (26012)Memory used [KB]: 1356
% 0.68/0.77  % (26012)Time elapsed: 0.026 s
% 0.68/0.77  % (26012)Instructions burned: 44 (million)
% 0.68/0.77  % (26012)------------------------------
% 0.68/0.77  % (26012)------------------------------
% 0.68/0.77  % (26007)Success in time 0.394 s
% 0.68/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------