TSTP Solution File: GRP303-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP303-1 : 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 : n032.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 02:28:27 EDT 2024

% Result   : Unsatisfiable 0.14s 0.60s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  205 (   6 unt;   0 def)
%            Number of atoms       :  685 ( 232 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  945 ( 465   ~; 465   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1339,plain,
    $false,
    inference(avatar_sat_refutation,[],[f34,f39,f44,f49,f54,f55,f56,f57,f62,f63,f64,f65,f70,f71,f72,f73,f78,f79,f80,f81,f96,f155,f454,f497,f755,f812,f848,f868,f882,f1003,f1016,f1190,f1263,f1336]) ).

fof(f1336,plain,
    ( spl0_21
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f1335,f46,f41,f36,f31,f27,f493]) ).

fof(f493,plain,
    ( spl0_21
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f27,plain,
    ( spl0_1
  <=> multiply(sk_c7,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f31,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f36,plain,
    ( spl0_3
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f41,plain,
    ( spl0_4
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f46,plain,
    ( spl0_5
  <=> sk_c6 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1335,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1334,f1331]) ).

fof(f1331,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f1324,f1269]) ).

fof(f1269,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f1222,f38]) ).

fof(f38,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f1222,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1220,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',left_identity) ).

fof(f1220,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f1197]) ).

fof(f1197,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f33]) ).

fof(f33,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',associativity) ).

fof(f1324,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl0_3 ),
    inference(superposition,[],[f870,f8]) ).

fof(f8,axiom,
    sk_c5 = multiply(sk_c6,sk_c7),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_5) ).

fof(f870,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f38]) ).

fof(f1334,plain,
    ( sk_c5 = multiply(sk_c3,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1333,f1302]) ).

fof(f1302,plain,
    ( sk_c5 = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f1285,f1295]) ).

fof(f1295,plain,
    ( sk_c5 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1292,f1278]) ).

fof(f1278,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f1227,f48]) ).

fof(f48,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f1227,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1224,f1]) ).

fof(f1224,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f1202]) ).

fof(f1202,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f1292,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f1273,f926]) ).

fof(f926,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c7,sk_c5)
    | ~ spl0_1 ),
    inference(superposition,[],[f460,f8]) ).

fof(f460,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f29]) ).

fof(f29,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f1273,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f103,f1269]) ).

fof(f103,plain,
    ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0),
    inference(superposition,[],[f3,f8]) ).

fof(f1285,plain,
    ( multiply(sk_c6,sk_c5) = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1283,f459]) ).

fof(f459,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c6,sk_c5)
    | ~ spl0_1 ),
    inference(superposition,[],[f103,f29]) ).

fof(f1283,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f460,f1278]) ).

fof(f1333,plain,
    ( multiply(sk_c3,sk_c5) = multiply(sk_c6,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1326,f1285]) ).

fof(f1326,plain,
    ( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f870,f1302]) ).

fof(f1263,plain,
    ( spl0_17
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1260,f493,f41,f36,f31,f27,f475]) ).

fof(f475,plain,
    ( spl0_17
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1260,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(superposition,[],[f38,f1248]) ).

fof(f1248,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(superposition,[],[f1,f1238]) ).

fof(f1238,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(superposition,[],[f1235,f1197]) ).

fof(f1235,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1234,f1]) ).

fof(f1234,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(superposition,[],[f3,f1226]) ).

fof(f1226,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1225,f1202]) ).

fof(f1225,plain,
    ( multiply(sk_c6,sk_c4) = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1223,f494]) ).

fof(f494,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f1223,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c5,sk_c4)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f460,f1202]) ).

fof(f1190,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1189]) ).

fof(f1189,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(trivial_inequality_removal,[],[f1188]) ).

fof(f1188,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(superposition,[],[f1180,f1019]) ).

fof(f1019,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f61,f476]) ).

fof(f476,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f61,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl0_7
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1180,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1179,f1079]) ).

fof(f1079,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(superposition,[],[f1060,f1032]) ).

fof(f1032,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(superposition,[],[f2,f1019]) ).

fof(f1060,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1056,f1]) ).

fof(f1056,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(superposition,[],[f3,f1041]) ).

fof(f1041,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1040,f476]) ).

fof(f1040,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1039,f1031]) ).

fof(f1031,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f77]) ).

fof(f77,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl0_9
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1039,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c6,sk_c2)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1035,f494]) ).

fof(f1035,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c5,sk_c2)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f460,f1031]) ).

fof(f1179,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(trivial_inequality_removal,[],[f1160]) ).

fof(f1160,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(identity)
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(superposition,[],[f1022,f1]) ).

fof(f1022,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f95,f494]) ).

fof(f95,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl0_13
  <=> ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1016,plain,
    ( ~ spl0_9
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f902,f88,f67,f75]) ).

fof(f67,plain,
    ( spl0_8
  <=> sk_c7 = multiply(sk_c2,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f88,plain,
    ( spl0_11
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f902,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f901]) ).

fof(f901,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f89,f69]) ).

fof(f69,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f89,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f1003,plain,
    ( ~ spl0_17
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f923,f88,f36,f31,f475]) ).

fof(f923,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(superposition,[],[f903,f33]) ).

fof(f903,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f900]) ).

fof(f900,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(superposition,[],[f89,f38]) ).

fof(f882,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f881,f94,f46,f41]) ).

fof(f881,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f880]) ).

fof(f880,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f95,f48]) ).

fof(f868,plain,
    ( spl0_21
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f865,f75,f67,f493]) ).

fof(f865,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f8,f827]) ).

fof(f827,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f504,f69]) ).

fof(f504,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f502,f1]) ).

fof(f502,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f458]) ).

fof(f458,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_9 ),
    inference(superposition,[],[f2,f77]) ).

fof(f848,plain,
    ( spl0_17
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f847,f493,f59,f51,f27,f475]) ).

fof(f51,plain,
    ( spl0_6
  <=> sk_c6 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f847,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f840,f494]) ).

fof(f840,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f29,f825]) ).

fof(f825,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f500,f53]) ).

fof(f53,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f500,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f499,f1]) ).

fof(f499,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f457]) ).

fof(f457,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f61]) ).

fof(f812,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f710,f91,f36,f31]) ).

fof(f91,plain,
    ( spl0_12
  <=> ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f710,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f705]) ).

fof(f705,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(superposition,[],[f92,f38]) ).

fof(f92,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f755,plain,
    ( ~ spl0_17
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f754,f91,f75,f67,f475]) ).

fof(f754,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f709,f77]) ).

fof(f709,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f708]) ).

fof(f708,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f92,f69]) ).

fof(f497,plain,
    ( ~ spl0_7
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f468,f85,f51,f59]) ).

fof(f85,plain,
    ( spl0_10
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f468,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f467]) ).

fof(f467,plain,
    ( sk_c6 != sk_c6
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f86,f53]) ).

fof(f86,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f454,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f451]) ).

fof(f451,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f446,f244]) ).

fof(f244,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f43,f229]) ).

fof(f229,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f215,f214]) ).

fof(f214,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f195,f161]) ).

fof(f161,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f97,f156]) ).

fof(f156,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f146,f38]) ).

fof(f146,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f139,f145]) ).

fof(f145,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f143,f140]) ).

fof(f140,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f134,f139]) ).

fof(f134,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f105,f116]) ).

fof(f116,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f111,f48]) ).

fof(f111,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f104,f1]) ).

fof(f104,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f98]) ).

fof(f98,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f43]) ).

fof(f105,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f38]) ).

fof(f143,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f110,f139]) ).

fof(f110,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f102,f1]) ).

fof(f102,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f97]) ).

fof(f139,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f133,f112]) ).

fof(f112,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f110,f38]) ).

fof(f133,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl0_3 ),
    inference(superposition,[],[f105,f8]) ).

fof(f97,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f33]) ).

fof(f195,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f192,f1]) ).

fof(f192,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f189]) ).

fof(f189,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f187,f156]) ).

fof(f187,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f110,f179]) ).

fof(f179,plain,
    ( identity = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f177,f97]) ).

fof(f177,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f105,f161]) ).

fof(f215,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f195,f98]) ).

fof(f446,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f445,f214]) ).

fof(f445,plain,
    ( sk_c6 != inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f426]) ).

fof(f426,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(superposition,[],[f425,f1]) ).

fof(f425,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f424,f156]) ).

fof(f424,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f86,f156]) ).

fof(f155,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f154]) ).

fof(f154,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f153]) ).

fof(f153,plain,
    ( sk_c6 != sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f150,f145]) ).

fof(f150,plain,
    ( sk_c6 != sk_c5
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f28,f140]) ).

fof(f28,plain,
    ( multiply(sk_c7,sk_c6) != sk_c5
    | spl0_1 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f96,plain,
    ( ~ spl0_1
    | spl0_10
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f83,f94,f91,f88,f85,f27]) ).

fof(f83,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != inverse(X6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7)
      | multiply(sk_c7,sk_c6) != sk_c5 ),
    inference(trivial_inequality_removal,[],[f82]) ).

fof(f82,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != sk_c5
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != inverse(X6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7)
      | multiply(sk_c7,sk_c6) != sk_c5 ),
    inference(forward_demodulation,[],[f25,f8]) ).

fof(f25,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != inverse(X6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | multiply(sk_c7,sk_c6) != sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_22) ).

fof(f81,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f24,f46,f75]) ).

fof(f24,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_21) ).

fof(f80,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f23,f41,f75]) ).

fof(f23,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_20) ).

fof(f79,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f22,f36,f75]) ).

fof(f22,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_19) ).

fof(f78,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f21,f31,f75]) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_18) ).

fof(f73,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f20,f46,f67]) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_17) ).

fof(f72,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f19,f41,f67]) ).

fof(f19,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_16) ).

fof(f71,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f18,f36,f67]) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_15) ).

fof(f70,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f31,f67]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_14) ).

fof(f65,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f16,f46,f59]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_13) ).

fof(f64,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f15,f41,f59]) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_12) ).

fof(f63,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f14,f36,f59]) ).

fof(f14,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_11) ).

fof(f62,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f13,f31,f59]) ).

fof(f13,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_10) ).

fof(f57,plain,
    ( spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f46,f51]) ).

fof(f12,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_9) ).

fof(f56,plain,
    ( spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f41,f51]) ).

fof(f11,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_8) ).

fof(f55,plain,
    ( spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f10,f36,f51]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_7) ).

fof(f54,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f31,f51]) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_6) ).

fof(f49,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f46,f27]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_4) ).

fof(f44,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f41,f27]) ).

fof(f6,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_3) ).

fof(f39,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f36,f27]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_2) ).

fof(f34,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f31,f27]) ).

fof(f4,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP303-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.10  % 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
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Apr 30 18:31:06 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.09/0.29  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.4uzJOEx8fq/Vampire---4.8_20491
% 0.14/0.57  % (20734)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 (2997ds/83Mi)
% 0.14/0.57  % (20728)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 (2997ds/34Mi)
% 0.14/0.57  % (20733)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.14/0.57  % (20731)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.14/0.57  % (20729)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 (2997ds/51Mi)
% 0.14/0.57  % (20735)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 (2997ds/56Mi)
% 0.14/0.57  % (20732)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 (2997ds/34Mi)
% 0.14/0.57  % (20728)Refutation not found, incomplete strategy% (20728)------------------------------
% 0.14/0.57  % (20728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.57  % (20728)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.57  
% 0.14/0.57  % (20728)Memory used [KB]: 993
% 0.14/0.57  % (20728)Time elapsed: 0.004 s
% 0.14/0.57  % (20728)Instructions burned: 3 (million)
% 0.14/0.57  % (20728)------------------------------
% 0.14/0.57  % (20728)------------------------------
% 0.14/0.57  % (20731)Refutation not found, incomplete strategy% (20731)------------------------------
% 0.14/0.57  % (20731)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.57  % (20735)Refutation not found, incomplete strategy% (20735)------------------------------
% 0.14/0.57  % (20735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.57  % (20735)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.57  % (20731)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.57  
% 0.14/0.57  
% 0.14/0.57  % (20735)Memory used [KB]: 977
% 0.14/0.57  % (20731)Memory used [KB]: 979
% 0.14/0.57  % (20735)Time elapsed: 0.004 s
% 0.14/0.57  % (20731)Time elapsed: 0.003 s
% 0.14/0.57  % (20735)Instructions burned: 3 (million)
% 0.14/0.57  % (20731)Instructions burned: 3 (million)
% 0.14/0.57  % (20735)------------------------------
% 0.14/0.57  % (20735)------------------------------
% 0.14/0.57  % (20731)------------------------------
% 0.14/0.57  % (20731)------------------------------
% 0.14/0.57  % (20733)Refutation not found, incomplete strategy% (20733)------------------------------
% 0.14/0.57  % (20733)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.57  % (20733)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.57  
% 0.14/0.57  % (20733)Memory used [KB]: 983
% 0.14/0.57  % (20733)Time elapsed: 0.004 s
% 0.14/0.57  % (20733)Instructions burned: 4 (million)
% 0.14/0.57  % (20733)------------------------------
% 0.14/0.57  % (20733)------------------------------
% 0.14/0.57  % (20732)Refutation not found, incomplete strategy% (20732)------------------------------
% 0.14/0.57  % (20732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.57  % (20732)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.57  
% 0.14/0.57  % (20732)Memory used [KB]: 992
% 0.14/0.57  % (20732)Time elapsed: 0.004 s
% 0.14/0.57  % (20732)Instructions burned: 3 (million)
% 0.14/0.57  % (20732)------------------------------
% 0.14/0.57  % (20732)------------------------------
% 0.14/0.58  % (20730)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.14/0.58  % (20736)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 (2997ds/55Mi)
% 0.14/0.58  % (20737)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 (2997ds/50Mi)
% 0.14/0.58  % (20739)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 (2997ds/52Mi)
% 0.14/0.58  % (20740)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 (2997ds/518Mi)
% 0.14/0.58  % (20730)Refutation not found, incomplete strategy% (20730)------------------------------
% 0.14/0.58  % (20730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.58  % (20730)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.58  
% 0.14/0.58  % (20730)Memory used [KB]: 1047
% 0.14/0.58  % (20730)Time elapsed: 0.004 s
% 0.14/0.58  % (20730)Instructions burned: 4 (million)
% 0.14/0.58  % (20730)------------------------------
% 0.14/0.58  % (20730)------------------------------
% 0.14/0.58  % (20737)Refutation not found, incomplete strategy% (20737)------------------------------
% 0.14/0.58  % (20737)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.58  % (20737)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.58  
% 0.14/0.58  % (20737)Memory used [KB]: 988
% 0.14/0.58  % (20737)Time elapsed: 0.003 s
% 0.14/0.58  % (20737)Instructions burned: 4 (million)
% 0.14/0.58  % (20737)------------------------------
% 0.14/0.58  % (20737)------------------------------
% 0.14/0.58  % (20736)Refutation not found, incomplete strategy% (20736)------------------------------
% 0.14/0.58  % (20736)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.58  % (20736)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.58  
% 0.14/0.58  % (20736)Memory used [KB]: 1050
% 0.14/0.58  % (20736)Time elapsed: 0.005 s
% 0.14/0.58  % (20736)Instructions burned: 5 (million)
% 0.14/0.58  % (20736)------------------------------
% 0.14/0.58  % (20736)------------------------------
% 0.14/0.58  % (20738)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 (2997ds/208Mi)
% 0.14/0.58  % (20741)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 (2997ds/42Mi)
% 0.14/0.58  % (20742)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 (2997ds/243Mi)
% 0.14/0.58  % (20741)Refutation not found, incomplete strategy% (20741)------------------------------
% 0.14/0.58  % (20741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.58  % (20741)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.58  
% 0.14/0.58  % (20741)Memory used [KB]: 999
% 0.14/0.58  % (20741)Time elapsed: 0.004 s
% 0.14/0.58  % (20741)Instructions burned: 3 (million)
% 0.14/0.58  % (20741)------------------------------
% 0.14/0.58  % (20741)------------------------------
% 0.14/0.58  % (20743)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 (2997ds/117Mi)
% 0.14/0.59  % (20743)Refutation not found, incomplete strategy% (20743)------------------------------
% 0.14/0.59  % (20743)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.59  % (20743)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.59  
% 0.14/0.59  % (20743)Memory used [KB]: 978
% 0.14/0.59  % (20743)Time elapsed: 0.003 s
% 0.14/0.59  % (20743)Instructions burned: 3 (million)
% 0.14/0.59  % (20743)------------------------------
% 0.14/0.59  % (20743)------------------------------
% 0.14/0.59  % (20738)Refutation not found, incomplete strategy% (20738)------------------------------
% 0.14/0.59  % (20738)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.59  % (20738)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.59  
% 0.14/0.59  % (20738)Memory used [KB]: 1071
% 0.14/0.59  % (20738)Time elapsed: 0.007 s
% 0.14/0.59  % (20738)Instructions burned: 9 (million)
% 0.14/0.59  % (20738)------------------------------
% 0.14/0.59  % (20738)------------------------------
% 0.14/0.59  % (20744)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 (2997ds/143Mi)
% 0.14/0.59  % (20744)Refutation not found, incomplete strategy% (20744)------------------------------
% 0.14/0.59  % (20744)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.59  % (20744)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.59  
% 0.14/0.59  % (20744)Memory used [KB]: 994
% 0.14/0.59  % (20744)Time elapsed: 0.003 s
% 0.14/0.59  % (20744)Instructions burned: 3 (million)
% 0.14/0.59  % (20744)------------------------------
% 0.14/0.59  % (20744)------------------------------
% 0.14/0.59  % (20745)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 (2997ds/93Mi)
% 0.14/0.59  % (20746)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 (2997ds/62Mi)
% 0.14/0.59  % (20734)Instruction limit reached!
% 0.14/0.59  % (20734)------------------------------
% 0.14/0.59  % (20734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.59  % (20734)Termination reason: Unknown
% 0.14/0.59  % (20734)Termination phase: Saturation
% 0.14/0.59  
% 0.14/0.59  % (20734)Memory used [KB]: 1887
% 0.14/0.59  % (20734)Time elapsed: 0.022 s
% 0.14/0.59  % (20734)Instructions burned: 85 (million)
% 0.14/0.59  % (20734)------------------------------
% 0.14/0.59  % (20734)------------------------------
% 0.14/0.59  % (20746)Refutation not found, incomplete strategy% (20746)------------------------------
% 0.14/0.59  % (20746)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.59  % (20746)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.59  
% 0.14/0.59  % (20746)Memory used [KB]: 979
% 0.14/0.59  % (20746)Time elapsed: 0.003 s
% 0.14/0.59  % (20746)Instructions burned: 3 (million)
% 0.14/0.59  % (20746)------------------------------
% 0.14/0.59  % (20746)------------------------------
% 0.14/0.59  % (20729)First to succeed.
% 0.14/0.59  % (20747)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 (2997ds/32Mi)
% 0.14/0.59  % (20749)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 (2997ds/55Mi)
% 0.14/0.59  % (20748)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 (2997ds/1919Mi)
% 0.14/0.60  % (20749)Refutation not found, incomplete strategy% (20749)------------------------------
% 0.14/0.60  % (20749)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.60  % (20749)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.60  
% 0.14/0.60  % (20749)Memory used [KB]: 999
% 0.14/0.60  % (20749)Time elapsed: 0.002 s
% 0.14/0.60  % (20749)Instructions burned: 4 (million)
% 0.14/0.60  % (20749)------------------------------
% 0.14/0.60  % (20749)------------------------------
% 0.14/0.60  % (20748)Refutation not found, incomplete strategy% (20748)------------------------------
% 0.14/0.60  % (20748)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.60  % (20750)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 (2997ds/53Mi)
% 0.14/0.60  % (20748)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.60  
% 0.14/0.60  % (20748)Memory used [KB]: 1049
% 0.14/0.60  % (20748)Time elapsed: 0.004 s
% 0.14/0.60  % (20748)Instructions burned: 5 (million)
% 0.14/0.60  % (20748)------------------------------
% 0.14/0.60  % (20748)------------------------------
% 0.14/0.60  % (20739)Instruction limit reached!
% 0.14/0.60  % (20739)------------------------------
% 0.14/0.60  % (20739)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.60  % (20739)Termination reason: Unknown
% 0.14/0.60  % (20739)Termination phase: Saturation
% 0.14/0.60  
% 0.14/0.60  % (20739)Memory used [KB]: 1423
% 0.14/0.60  % (20739)Time elapsed: 0.024 s
% 0.14/0.60  % (20739)Instructions burned: 52 (million)
% 0.14/0.60  % (20739)------------------------------
% 0.14/0.60  % (20739)------------------------------
% 0.14/0.60  % (20729)Refutation found. Thanks to Tanya!
% 0.14/0.60  % SZS status Unsatisfiable for Vampire---4
% 0.14/0.60  % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.60  % (20729)------------------------------
% 0.14/0.60  % (20729)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.60  % (20729)Termination reason: Refutation
% 0.14/0.60  
% 0.14/0.60  % (20729)Memory used [KB]: 1271
% 0.14/0.60  % (20729)Time elapsed: 0.026 s
% 0.14/0.60  % (20729)Instructions burned: 44 (million)
% 0.14/0.60  % (20729)------------------------------
% 0.14/0.60  % (20729)------------------------------
% 0.14/0.60  % (20721)Success in time 0.294 s
% 0.14/0.60  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.14/0.60  20721 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.4uzJOEx8fq/Vampire---4.8_20491
% 0.14/0.60  % (20721)------------------------------
% 0.14/0.60  % (20721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.60  % (20721)Termination reason: Unknown
% 0.14/0.60  % (20721)Termination phase: Unknown
% 0.14/0.60  
% 0.14/0.60  % (20721)Memory used [KB]: 453
% 0.14/0.60  % (20721)Time elapsed: 0.294 s
% 0.14/0.60  % (20721)Instructions burned: 954 (million)
% 0.14/0.60  % (20721)------------------------------
% 0.14/0.60  % (20721)------------------------------
% 0.14/0.60  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.60  ???
% 0.14/0.60   ???
% 0.14/0.60    ???
% 0.14/0.60     ???
% 0.14/0.60      ???
% 0.14/0.60       ???
% 0.14/0.60        ???
% 0.14/0.60         ???
% 0.14/0.60          ???
% 0.14/0.60           ???
% 0.14/0.60            ???
% 0.14/0.60             ???
% 0.14/0.60              ???
% 0.14/0.60               ???
% 0.14/0.60                ???
% 0.14/0.60                 ???
% 0.14/0.60                  ???
% 0.14/0.60                   ???
% 0.14/0.60                    ???
% 0.14/0.60                     ???
% 0.14/0.60  % Exception at proof search level
% 0.14/0.60  System fail: Cannot decrease semaphore. error 43: Identifier removed
% 0.14/0.60  % Vampire---4.8 exiting
%------------------------------------------------------------------------------