TSTP Solution File: GRP274-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP274-1 : TPTP v8.2.0. 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 : n016.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 : Mon May 20 21:07:52 EDT 2024

% Result   : Unsatisfiable 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  212 (   4 unt;   0 def)
%            Number of atoms       :  789 ( 233 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1133 ( 556   ~; 561   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1636,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f58,f63,f64,f65,f66,f67,f72,f73,f74,f75,f76,f81,f82,f83,f84,f85,f90,f91,f92,f93,f94,f107,f193,f320,f362,f674,f863,f1046,f1128,f1224,f1367,f1409,f1449,f1635]) ).

fof(f1635,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1619,f105,f55,f50]) ).

fof(f50,plain,
    ( spl0_5
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f55,plain,
    ( spl0_6
  <=> sk_c6 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f105,plain,
    ( spl0_14
  <=> ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1619,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1618]) ).

fof(f1618,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f106,f57]) ).

fof(f57,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f106,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f1449,plain,
    ( ~ spl0_7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1448,f1037,f689,f96,f87,f78,f60,f31,f60]) ).

fof(f31,plain,
    ( spl0_1
  <=> multiply(sk_c1,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f60,plain,
    ( spl0_7
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f78,plain,
    ( spl0_9
  <=> sk_c7 = multiply(sk_c2,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f87,plain,
    ( spl0_10
  <=> sk_c5 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f96,plain,
    ( spl0_11
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f689,plain,
    ( spl0_21
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1037,plain,
    ( spl0_26
  <=> sk_c7 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1448,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1426,f1147]) ).

fof(f1147,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1146,f1095]) ).

fof(f1095,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(superposition,[],[f1080,f402]) ).

fof(f402,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f62]) ).

fof(f62,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f1080,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1072,f690]) ).

fof(f690,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f1072,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(superposition,[],[f830,f1063]) ).

fof(f1063,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1054,f410]) ).

fof(f410,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f409,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f409,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f402]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

fof(f1054,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(superposition,[],[f830,f690]) ).

fof(f830,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f404,f410]) ).

fof(f404,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f33]) ).

fof(f33,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f1146,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1133,f1080]) ).

fof(f1133,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_10
    | ~ spl0_26 ),
    inference(superposition,[],[f403,f1038]) ).

fof(f1038,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f403,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f89]) ).

fof(f89,plain,
    ( sk_c5 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f1426,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f1424]) ).

fof(f1424,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(superposition,[],[f1413,f1131]) ).

fof(f1131,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_9
    | ~ spl0_26 ),
    inference(superposition,[],[f80,f1038]) ).

fof(f80,plain,
    ( sk_c7 = multiply(sk_c2,sk_c5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f1413,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f97,f690]) ).

fof(f97,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f1409,plain,
    ( ~ spl0_7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1408,f1037,f689,f105,f87,f78,f60,f31,f60]) ).

fof(f1408,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1386,f1147]) ).

fof(f1386,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f1384]) ).

fof(f1384,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(superposition,[],[f1373,f1131]) ).

fof(f1373,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl0_14
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1372,f690]) ).

fof(f1372,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c6 != inverse(X6) )
    | ~ spl0_14
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1371,f690]) ).

fof(f1371,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c6 != inverse(X6) )
    | ~ spl0_14
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f106,f1038]) ).

fof(f1367,plain,
    ( ~ spl0_7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1366,f1037,f689,f99,f87,f78,f60,f31,f60]) ).

fof(f99,plain,
    ( spl0_12
  <=> ! [X4] :
        ( sk_c5 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1366,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1344,f1147]) ).

fof(f1344,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f1342]) ).

fof(f1342,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(superposition,[],[f1226,f1131]) ).

fof(f1226,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1225,f1038]) ).

fof(f1225,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) )
    | ~ spl0_12
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f100,f1038]) ).

fof(f100,plain,
    ( ! [X4] :
        ( sk_c5 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f1224,plain,
    ( spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(avatar_contradiction_clause,[],[f1223]) ).

fof(f1223,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f1219]) ).

fof(f1219,plain,
    ( sk_c7 != sk_c7
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(superposition,[],[f1172,f908]) ).

fof(f908,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f904,f80]) ).

fof(f904,plain,
    ( multiply(sk_c2,sk_c5) = multiply(sk_c7,sk_c7)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f407,f463]) ).

fof(f463,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f412,f80]) ).

fof(f412,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f411,f1]) ).

fof(f411,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f403]) ).

fof(f407,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c5,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f80]) ).

fof(f1172,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | spl0_2
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f1171,f690]) ).

fof(f1171,plain,
    ( sk_c7 != multiply(sk_c6,sk_c7)
    | spl0_2
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f36,f1038]) ).

fof(f36,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_2
  <=> multiply(sk_c6,sk_c7) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1128,plain,
    ( spl0_26
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f1127,f689,f69,f60,f31,f1037]) ).

fof(f69,plain,
    ( spl0_8
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1127,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f1109,f690]) ).

fof(f1109,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(superposition,[],[f71,f1080]) ).

fof(f71,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f1046,plain,
    ( spl0_21
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1042,f87,f78,f69,f60,f31,f689]) ).

fof(f1042,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f71,f1023]) ).

fof(f1023,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1013,f80]) ).

fof(f1013,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1012,f912]) ).

fof(f912,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f908]) ).

fof(f1012,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c2,X0)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1002,f903]) ).

fof(f903,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f407,f412]) ).

fof(f1002,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f427,f893]) ).

fof(f893,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f406,f412]) ).

fof(f406,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f71]) ).

fof(f427,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f420]) ).

fof(f420,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f410,f33]) ).

fof(f863,plain,
    ( ~ spl0_7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f862,f689,f102,f60,f31,f60]) ).

fof(f102,plain,
    ( spl0_13
  <=> ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f862,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(trivial_inequality_removal,[],[f861]) ).

fof(f861,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f860,f690]) ).

fof(f860,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_21 ),
    inference(superposition,[],[f103,f838]) ).

fof(f838,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f837,f410]) ).

fof(f837,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f830,f690]) ).

fof(f103,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f674,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f639,f102,f45,f40]) ).

fof(f40,plain,
    ( spl0_3
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f45,plain,
    ( spl0_4
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f639,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f636]) ).

fof(f636,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(superposition,[],[f103,f47]) ).

fof(f47,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f362,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f361,f99,f55,f50,f45,f40,f35,f40]) ).

fof(f361,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f337,f223]) ).

fof(f223,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f216,f215]) ).

fof(f215,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f189,f108]) ).

fof(f108,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f189,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f188,f1]) ).

fof(f188,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f164]) ).

fof(f164,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f163,f108]) ).

fof(f163,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f158,f162]) ).

fof(f162,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f157,f47]) ).

fof(f157,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f150,f156]) ).

fof(f156,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f154,f151]) ).

fof(f151,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f145,f150]) ).

fof(f145,plain,
    ( multiply(sk_c3,sk_c5) = multiply(sk_c7,sk_c6)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f116,f127]) ).

fof(f127,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f122,f57]) ).

fof(f122,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f115,f1]) ).

fof(f115,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f109]) ).

fof(f109,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f52]) ).

fof(f52,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f116,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f47]) ).

fof(f154,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f121,f150]) ).

fof(f121,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f113,f1]) ).

fof(f113,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f108]) ).

fof(f150,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f144,f123]) ).

fof(f123,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f121,f47]) ).

fof(f144,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f116,f37]) ).

fof(f37,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f158,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f131,f156]) ).

fof(f131,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f114,f108]) ).

fof(f114,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f37]) ).

fof(f216,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f189,f170]) ).

fof(f170,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f109,f162]) ).

fof(f337,plain,
    ( sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f336]) ).

fof(f336,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f324,f198]) ).

fof(f198,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f196,f189]) ).

fof(f196,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f167]) ).

fof(f167,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f161,f162]) ).

fof(f161,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f57,f156]) ).

fof(f324,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f323,f162]) ).

fof(f323,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f322,f156]) ).

fof(f322,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f321,f162]) ).

fof(f321,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f100,f156]) ).

fof(f320,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f319,f96,f55,f50,f45,f40,f35,f40]) ).

fof(f319,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f287,f223]) ).

fof(f287,plain,
    ( sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f286]) ).

fof(f286,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f194,f198]) ).

fof(f194,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f97,f162]) ).

fof(f193,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f192]) ).

fof(f192,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(trivial_inequality_removal,[],[f191]) ).

fof(f191,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(superposition,[],[f190,f162]) ).

fof(f190,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(superposition,[],[f166,f123]) ).

fof(f166,plain,
    ( sk_c7 != multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(forward_demodulation,[],[f160,f162]) ).

fof(f160,plain,
    ( sk_c6 != multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_8 ),
    inference(superposition,[],[f70,f156]) ).

fof(f70,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f107,plain,
    ( spl0_11
    | ~ spl0_8
    | spl0_12
    | ~ spl0_2
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f29,f105,f102,f35,f99,f69,f96]) ).

fof(f29,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)
      | multiply(sk_c6,sk_c7) != sk_c5
      | sk_c5 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c5)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f94,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f55,f87]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f93,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f27,f50,f87]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f92,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f26,f45,f87]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f91,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f25,f40,f87]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f90,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f24,f35,f87]) ).

fof(f24,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f85,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f23,f55,f78]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f84,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f22,f50,f78]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f83,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f21,f45,f78]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f82,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f20,f40,f78]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f81,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f35,f78]) ).

fof(f19,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f76,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f18,f55,f69]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f75,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f50,f69]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f74,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f16,f45,f69]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f73,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f15,f40,f69]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f72,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f14,f35,f69]) ).

fof(f14,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f67,plain,
    ( spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f13,f55,f60]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f66,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f50,f60]) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f65,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f45,f60]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f64,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f10,f40,f60]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f63,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f35,f60]) ).

fof(f9,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f58,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f55,f31]) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f53,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f50,f31]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f48,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f45,f31]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f43,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f40,f31]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f38,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f35,f31]) ).

fof(f4,axiom,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP274-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 04:07:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.35  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/benchmark/theBenchmark.p
% 0.55/0.72  % (10212)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 theBenchmark for (2996ds/83Mi)
% 0.55/0.73  % (10206)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.73  % (10207)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 theBenchmark for (2996ds/51Mi)
% 0.55/0.73  % (10209)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.73  % (10208)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73  % (10210)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.73  % (10211)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.73  % (10206)Refutation not found, incomplete strategy% (10206)------------------------------
% 0.55/0.73  % (10206)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (10206)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  % (10209)Refutation not found, incomplete strategy% (10209)------------------------------
% 0.55/0.73  % (10209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (10209)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (10209)Memory used [KB]: 995
% 0.55/0.73  % (10209)Time elapsed: 0.003 s
% 0.55/0.73  % (10209)Instructions burned: 3 (million)
% 0.55/0.73  
% 0.55/0.73  % (10206)Memory used [KB]: 1003
% 0.55/0.73  % (10206)Time elapsed: 0.003 s
% 0.55/0.73  % (10206)Instructions burned: 3 (million)
% 0.55/0.73  % (10210)Refutation not found, incomplete strategy% (10210)------------------------------
% 0.55/0.73  % (10210)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (10210)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (10210)Memory used [KB]: 1002
% 0.55/0.73  % (10210)Time elapsed: 0.003 s
% 0.55/0.73  % (10210)Instructions burned: 4 (million)
% 0.55/0.73  % (10209)------------------------------
% 0.55/0.73  % (10209)------------------------------
% 0.55/0.73  % (10206)------------------------------
% 0.55/0.73  % (10206)------------------------------
% 0.55/0.73  % (10210)------------------------------
% 0.55/0.73  % (10210)------------------------------
% 0.55/0.73  % (10211)Refutation not found, incomplete strategy% (10211)------------------------------
% 0.55/0.73  % (10211)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (10211)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (10211)Memory used [KB]: 992
% 0.55/0.73  % (10211)Time elapsed: 0.004 s
% 0.55/0.73  % (10211)Instructions burned: 4 (million)
% 0.55/0.73  % (10211)------------------------------
% 0.55/0.73  % (10211)------------------------------
% 0.55/0.73  % (10213)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.73  % (10208)Refutation not found, incomplete strategy% (10208)------------------------------
% 0.55/0.73  % (10208)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (10208)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (10208)Memory used [KB]: 1058
% 0.55/0.73  % (10208)Time elapsed: 0.005 s
% 0.55/0.73  % (10208)Instructions burned: 4 (million)
% 0.55/0.73  % (10208)------------------------------
% 0.55/0.73  % (10208)------------------------------
% 0.55/0.73  % (10213)Refutation not found, incomplete strategy% (10213)------------------------------
% 0.55/0.73  % (10213)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (10213)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (10213)Memory used [KB]: 988
% 0.55/0.73  % (10213)Time elapsed: 0.003 s
% 0.55/0.73  % (10213)Instructions burned: 3 (million)
% 0.55/0.73  % (10213)------------------------------
% 0.55/0.73  % (10213)------------------------------
% 0.55/0.73  % (10214)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.73  % (10217)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 theBenchmark for (2996ds/52Mi)
% 0.55/0.73  % (10216)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.74  % (10218)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 theBenchmark for (2996ds/518Mi)
% 0.55/0.74  % (10217)Refutation not found, incomplete strategy% (10217)------------------------------
% 0.55/0.74  % (10217)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (10217)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (10217)Memory used [KB]: 1058
% 0.55/0.74  % (10217)Time elapsed: 0.004 s
% 0.55/0.74  % (10219)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 theBenchmark for (2996ds/42Mi)
% 0.55/0.74  % (10217)Instructions burned: 4 (million)
% 0.55/0.74  % (10217)------------------------------
% 0.55/0.74  % (10217)------------------------------
% 0.55/0.74  % (10215)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 theBenchmark for (2996ds/50Mi)
% 0.55/0.74  % (10219)Refutation not found, incomplete strategy% (10219)------------------------------
% 0.55/0.74  % (10219)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (10219)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (10219)Memory used [KB]: 1009
% 0.55/0.74  % (10219)Time elapsed: 0.003 s
% 0.55/0.74  % (10219)Instructions burned: 4 (million)
% 0.55/0.74  % (10219)------------------------------
% 0.55/0.74  % (10219)------------------------------
% 0.55/0.74  % (10218)Refutation not found, incomplete strategy% (10218)------------------------------
% 0.55/0.74  % (10218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (10218)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (10218)Memory used [KB]: 992
% 0.55/0.74  % (10218)Time elapsed: 0.005 s
% 0.55/0.74  % (10218)Instructions burned: 4 (million)
% 0.55/0.74  % (10218)------------------------------
% 0.55/0.74  % (10218)------------------------------
% 0.55/0.74  % (10215)Refutation not found, incomplete strategy% (10215)------------------------------
% 0.55/0.74  % (10215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (10215)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (10215)Memory used [KB]: 997
% 0.55/0.74  % (10215)Time elapsed: 0.004 s
% 0.55/0.74  % (10215)Instructions burned: 4 (million)
% 0.55/0.74  % (10215)------------------------------
% 0.55/0.74  % (10215)------------------------------
% 0.55/0.74  % (10220)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 theBenchmark for (2996ds/243Mi)
% 0.55/0.74  % (10221)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.55/0.74  % (10221)Refutation not found, incomplete strategy% (10221)------------------------------
% 0.55/0.74  % (10221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (10221)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (10221)Memory used [KB]: 989
% 0.55/0.74  % (10221)Time elapsed: 0.003 s
% 0.55/0.74  % (10221)Instructions burned: 3 (million)
% 0.55/0.74  % (10222)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 theBenchmark for (2996ds/143Mi)
% 0.55/0.74  % (10221)------------------------------
% 0.55/0.74  % (10221)------------------------------
% 0.55/0.74  % (10222)Refutation not found, incomplete strategy% (10222)------------------------------
% 0.55/0.74  % (10222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (10222)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (10222)Memory used [KB]: 1005
% 0.55/0.74  % (10222)Time elapsed: 0.004 s
% 0.55/0.74  % (10222)Instructions burned: 3 (million)
% 0.55/0.74  % (10222)------------------------------
% 0.55/0.74  % (10222)------------------------------
% 0.55/0.74  % (10223)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 theBenchmark for (2996ds/93Mi)
% 0.55/0.75  % (10224)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 theBenchmark for (2996ds/62Mi)
% 0.55/0.75  % (10224)Refutation not found, incomplete strategy% (10224)------------------------------
% 0.55/0.75  % (10224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10224)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10224)Memory used [KB]: 989
% 0.55/0.75  % (10224)Time elapsed: 0.003 s
% 0.55/0.75  % (10224)Instructions burned: 3 (million)
% 0.55/0.75  % (10224)------------------------------
% 0.55/0.75  % (10224)------------------------------
% 0.55/0.75  % (10212)Instruction limit reached!
% 0.55/0.75  % (10212)------------------------------
% 0.55/0.75  % (10212)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10212)Termination reason: Unknown
% 0.55/0.75  % (10212)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (10212)Memory used [KB]: 2023
% 0.55/0.75  % (10212)Time elapsed: 0.026 s
% 0.55/0.75  % (10212)Instructions burned: 86 (million)
% 0.55/0.75  % (10212)------------------------------
% 0.55/0.75  % (10212)------------------------------
% 0.55/0.75  % (10225)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 theBenchmark for (2996ds/32Mi)
% 0.55/0.75  % (10226)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 theBenchmark for (2996ds/1919Mi)
% 0.55/0.75  % (10207)First to succeed.
% 0.55/0.75  % (10227)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.75  % (10225)Refutation not found, incomplete strategy% (10225)------------------------------
% 0.55/0.75  % (10225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10225)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10225)Memory used [KB]: 1069
% 0.55/0.75  % (10225)Time elapsed: 0.004 s
% 0.55/0.75  % (10225)Instructions burned: 5 (million)
% 0.55/0.75  % (10225)------------------------------
% 0.55/0.75  % (10225)------------------------------
% 0.55/0.75  % (10227)Refutation not found, incomplete strategy% (10227)------------------------------
% 0.55/0.75  % (10227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10227)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10227)Memory used [KB]: 1005
% 0.55/0.75  % (10227)Time elapsed: 0.002 s
% 0.55/0.75  % (10227)Instructions burned: 4 (million)
% 0.55/0.75  % (10227)------------------------------
% 0.55/0.75  % (10227)------------------------------
% 0.55/0.75  % (10226)Refutation not found, incomplete strategy% (10226)------------------------------
% 0.55/0.75  % (10226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (10226)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10226)Memory used [KB]: 1059
% 0.55/0.75  % (10226)Time elapsed: 0.004 s
% 0.55/0.75  % (10226)Instructions burned: 5 (million)
% 0.55/0.75  % (10207)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10205"
% 0.55/0.75  % (10226)------------------------------
% 0.55/0.75  % (10226)------------------------------
% 0.55/0.75  vampire: malloc.c:2617: sysmalloc: Assertion `(old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)' failed.
% 0.55/0.75  vampire: malloc.c:2617: sysmalloc: Assertion `(old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)' failed.
% 0.55/0.76  % (10207)Refutation found. Thanks to Tanya!
% 0.55/0.76  % SZS status Unsatisfiable for theBenchmark
% 0.55/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.76  % (10207)------------------------------
% 0.55/0.76  % (10207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (10207)Termination reason: Refutation
% 0.55/0.76  
% 0.55/0.76  % (10207)Memory used [KB]: 1432
% 0.55/0.76  % (10207)Time elapsed: 0.030 s
% 0.55/0.76  % (10207)Instructions burned: 51 (million)
% 0.55/0.76  % (10205)Success in time 0.386 s
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------