TSTP Solution File: GRP315-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP315-1 : 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 : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 21:08:03 EDT 2024

% Result   : Unsatisfiable 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  173 (   7 unt;   0 def)
%            Number of atoms       :  529 ( 185 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  704 ( 348   ~; 340   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   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   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f725,plain,
    $false,
    inference(avatar_sat_refutation,[],[f30,f35,f40,f45,f50,f51,f52,f53,f58,f59,f60,f61,f66,f67,f68,f69,f86,f89,f112,f115,f129,f153,f164,f172,f183,f478,f509,f576,f639,f693,f723]) ).

fof(f723,plain,
    ( spl0_19
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f718,f96,f42,f37,f32,f27,f124]) ).

fof(f124,plain,
    ( spl0_19
  <=> sk_c6 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f27,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f32,plain,
    ( spl0_3
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f37,plain,
    ( spl0_4
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f42,plain,
    ( spl0_5
  <=> sk_c6 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f96,plain,
    ( spl0_15
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f718,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(superposition,[],[f34,f711]) ).

fof(f711,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f709,f673]) ).

fof(f673,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f672,f585]) ).

fof(f585,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f290,f34]) ).

fof(f290,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f289,f1]) ).

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

fof(f289,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f283]) ).

fof(f283,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f29]) ).

fof(f29,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f27]) ).

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

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(f672,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f665,f664]) ).

fof(f664,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f586,f640]) ).

fof(f640,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f262,f44]) ).

fof(f44,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f262,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f261,f1]) ).

fof(f261,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f257]) ).

fof(f257,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f586,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f34]) ).

fof(f665,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl0_3 ),
    inference(superposition,[],[f586,f4]) ).

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

fof(f709,plain,
    ( multiply(sk_c3,sk_c6) = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(superposition,[],[f586,f703]) ).

fof(f703,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(superposition,[],[f681,f97]) ).

fof(f97,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f681,plain,
    ( sk_c5 = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f678,f640]) ).

fof(f678,plain,
    ( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f203,f673]) ).

fof(f203,plain,
    ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0)),
    inference(superposition,[],[f3,f4]) ).

fof(f34,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f693,plain,
    ( spl0_15
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f692,f42,f37,f32,f27,f96]) ).

fof(f692,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f691,f44]) ).

fof(f691,plain,
    ( sk_c5 = multiply(sk_c4,sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f686,f640]) ).

fof(f686,plain,
    ( multiply(sk_c4,sk_c5) = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f641,f681]) ).

fof(f641,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f44]) ).

fof(f639,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f636,f96,f78,f42,f37]) ).

fof(f78,plain,
    ( spl0_11
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f636,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f635]) ).

fof(f635,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f580,f582]) ).

fof(f582,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_5
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f44,f97]) ).

fof(f580,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f79,f97]) ).

fof(f79,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f576,plain,
    ( spl0_19
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f575,f96,f63,f55,f124]) ).

fof(f55,plain,
    ( spl0_7
  <=> sk_c5 = multiply(sk_c2,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f63,plain,
    ( spl0_8
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f575,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f550,f97]) ).

fof(f550,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f4,f522]) ).

fof(f522,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f514,f97]) ).

fof(f514,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f345,f499]) ).

fof(f499,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f489,f215]) ).

fof(f215,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f205,f1]) ).

fof(f205,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f188]) ).

fof(f188,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f65]) ).

fof(f65,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f489,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f345,f97]) ).

fof(f345,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c5,multiply(sk_c2,X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f288,f215]) ).

fof(f288,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c2,multiply(sk_c6,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f57]) ).

fof(f57,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f509,plain,
    ( ~ spl0_15
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f506,f96,f84,f63,f55,f96]) ).

fof(f84,plain,
    ( spl0_13
  <=> ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f506,plain,
    ( sk_c6 != sk_c5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f495,f4]) ).

fof(f495,plain,
    ( sk_c6 != multiply(sk_c6,sk_c7)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(superposition,[],[f370,f97]) ).

fof(f370,plain,
    ( sk_c6 != multiply(sk_c5,sk_c7)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f369]) ).

fof(f369,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != multiply(sk_c5,sk_c7)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f367,f65]) ).

fof(f367,plain,
    ( sk_c6 != multiply(sk_c5,sk_c7)
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f85,f349]) ).

fof(f349,plain,
    ( multiply(sk_c5,sk_c7) = multiply(sk_c2,sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f288,f4]) ).

fof(f85,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f478,plain,
    ( spl0_15
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f474,f63,f55,f47,f23,f96]) ).

fof(f23,plain,
    ( spl0_1
  <=> sk_c6 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f47,plain,
    ( spl0_6
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f474,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f4,f462]) ).

fof(f462,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f449,f25]) ).

fof(f25,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f449,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f448,f332]) ).

fof(f332,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f328]) ).

fof(f328,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f323,f25]) ).

fof(f323,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f286,f296]) ).

fof(f296,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f292,f25]) ).

fof(f292,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f291,f1]) ).

fof(f291,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f284]) ).

fof(f284,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f49]) ).

fof(f49,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f286,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f25]) ).

fof(f448,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f435,f322]) ).

fof(f322,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(superposition,[],[f286,f292]) ).

fof(f435,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f293,f306]) ).

fof(f306,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f203,f292]) ).

fof(f293,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f287]) ).

fof(f287,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f215,f57]) ).

fof(f183,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f182]) ).

fof(f182,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f181]) ).

fof(f181,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(superposition,[],[f179,f154]) ).

fof(f154,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f49,f125]) ).

fof(f125,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f179,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f177]) ).

fof(f177,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(superposition,[],[f174,f156]) ).

fof(f156,plain,
    ( sk_c6 = multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f25,f125]) ).

fof(f174,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f173,f125]) ).

fof(f173,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) )
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f82,f125]) ).

fof(f82,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl0_12
  <=> ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f172,plain,
    ( ~ spl0_8
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f170,f78,f55,f63]) ).

fof(f170,plain,
    ( sk_c6 != inverse(sk_c2)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f169]) ).

fof(f169,plain,
    ( sk_c5 != sk_c5
    | sk_c6 != inverse(sk_c2)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(superposition,[],[f79,f57]) ).

fof(f164,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f163]) ).

fof(f163,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f162]) ).

fof(f162,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f161,f154]) ).

fof(f161,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f160]) ).

fof(f160,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f141,f156]) ).

fof(f141,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != inverse(X3) )
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f140,f125]) ).

fof(f140,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) )
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f76,f125]) ).

fof(f76,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl0_10
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f153,plain,
    ( ~ spl0_16
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f152,f124,f75,f32,f102]) ).

fof(f102,plain,
    ( spl0_16
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f152,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f151]) ).

fof(f151,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f144,f125]) ).

fof(f144,plain,
    ( sk_c6 != sk_c7
    | sk_c6 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f141,f34]) ).

fof(f129,plain,
    ( ~ spl0_19
    | ~ spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f128,f102,f27,f124]) ).

fof(f128,plain,
    ( sk_c6 != sk_c7
    | ~ spl0_2
    | spl0_16 ),
    inference(superposition,[],[f104,f29]) ).

fof(f104,plain,
    ( sk_c6 != inverse(sk_c3)
    | spl0_16 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f115,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f114,f84,f42,f37]) ).

fof(f114,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f113]) ).

fof(f113,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(superposition,[],[f85,f44]) ).

fof(f112,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f111,f81,f32,f27]) ).

fof(f111,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f110]) ).

fof(f110,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c3)
    | ~ spl0_3
    | ~ spl0_12 ),
    inference(superposition,[],[f82,f34]) ).

fof(f89,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f88,plain,
    ( $false
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f87]) ).

fof(f87,plain,
    ( sk_c5 != sk_c5
    | spl0_9 ),
    inference(superposition,[],[f73,f4]) ).

fof(f73,plain,
    ( multiply(sk_c6,sk_c7) != sk_c5
    | spl0_9 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_9
  <=> multiply(sk_c6,sk_c7) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f86,plain,
    ( ~ spl0_9
    | spl0_10
    | spl0_11
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f21,f84,f81,f78,f75,f71]) ).

fof(f21,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_c5 != multiply(X4,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7)
      | multiply(sk_c6,sk_c7) != sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f69,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f20,f42,f63]) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f68,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f19,f37,f63]) ).

fof(f19,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f67,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f18,f32,f63]) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f66,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f27,f63]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f61,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f16,f42,f55]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f60,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f15,f37,f55]) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f59,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f14,f32,f55]) ).

fof(f14,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f58,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f13,f27,f55]) ).

fof(f13,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f53,plain,
    ( spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f42,f47]) ).

fof(f12,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f52,plain,
    ( spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f37,f47]) ).

fof(f11,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f51,plain,
    ( spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f10,f32,f47]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f50,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f27,f47]) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f45,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f8,f42,f23]) ).

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

fof(f40,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f7,f37,f23]) ).

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

fof(f35,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f32,f23]) ).

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

fof(f30,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f27,f23]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP315-1 : TPTP v8.2.0. Released v2.5.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 04:33:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.73  % (26178)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)
% 0.58/0.74  % (26171)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)
% 0.58/0.74  % (26178)Refutation not found, incomplete strategy% (26178)------------------------------
% 0.58/0.74  % (26178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (26178)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (26178)Memory used [KB]: 983
% 0.58/0.74  % (26178)Time elapsed: 0.002 s
% 0.58/0.74  % (26178)Instructions burned: 3 (million)
% 0.58/0.74  % (26173)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.74  % (26174)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)
% 0.58/0.74  % (26172)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)
% 0.58/0.74  % (26175)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)
% 0.58/0.74  % (26176)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)
% 0.58/0.74  % (26178)------------------------------
% 0.58/0.74  % (26178)------------------------------
% 0.58/0.74  % (26177)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)
% 0.58/0.74  % (26171)Refutation not found, incomplete strategy% (26171)------------------------------
% 0.58/0.74  % (26171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (26175)Refutation not found, incomplete strategy% (26175)------------------------------
% 0.58/0.74  % (26175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (26175)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (26175)Memory used [KB]: 997
% 0.58/0.74  % (26175)Time elapsed: 0.003 s
% 0.58/0.74  % (26175)Instructions burned: 3 (million)
% 0.58/0.74  % (26171)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (26171)Memory used [KB]: 997
% 0.58/0.74  % (26171)Time elapsed: 0.003 s
% 0.58/0.74  % (26171)Instructions burned: 3 (million)
% 0.58/0.74  % (26174)Refutation not found, incomplete strategy% (26174)------------------------------
% 0.58/0.74  % (26174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (26174)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (26174)Memory used [KB]: 984
% 0.58/0.74  % (26174)Time elapsed: 0.003 s
% 0.58/0.74  % (26174)Instructions burned: 3 (million)
% 0.58/0.74  % (26175)------------------------------
% 0.58/0.74  % (26175)------------------------------
% 0.58/0.74  % (26171)------------------------------
% 0.58/0.74  % (26171)------------------------------
% 0.58/0.74  % (26174)------------------------------
% 0.58/0.74  % (26174)------------------------------
% 0.58/0.74  % (26179)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)
% 0.58/0.74  % (26180)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)
% 0.58/0.74  % (26181)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)
% 0.58/0.74  % (26182)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)
% 0.58/0.74  % (26180)Refutation not found, incomplete strategy% (26180)------------------------------
% 0.58/0.74  % (26180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (26180)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74  
% 0.58/0.74  % (26180)Memory used [KB]: 993
% 0.58/0.74  % (26180)Time elapsed: 0.003 s
% 0.58/0.74  % (26180)Instructions burned: 4 (million)
% 0.58/0.74  % (26180)------------------------------
% 0.58/0.74  % (26180)------------------------------
% 0.58/0.75  % (26183)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)
% 0.58/0.75  % (26172)First to succeed.
% 0.58/0.75  % (26172)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26169"
% 0.58/0.75  % (26172)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.58/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.76  % (26172)------------------------------
% 0.58/0.76  % (26172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (26172)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (26172)Memory used [KB]: 1215
% 0.58/0.76  % (26172)Time elapsed: 0.019 s
% 0.58/0.76  % (26172)Instructions burned: 30 (million)
% 0.58/0.76  % (26169)Success in time 0.385 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------