TSTP Solution File: GRP776+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP776+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n026.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 02:32:54 EDT 2024

% Result   : Theorem 0.62s 0.82s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  129 (  21 unt;   0 def)
%            Number of atoms       :  314 (  91 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  341 ( 156   ~; 146   |;  11   &)
%                                         (  10 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  11 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :   70 (  68   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1282,plain,
    $false,
    inference(avatar_sat_refutation,[],[f88,f93,f100,f102,f109,f117,f923,f956,f979,f1013,f1275]) ).

fof(f1275,plain,
    ( ~ spl6_1
    | spl6_2
    | ~ spl6_5
    | ~ spl6_7
    | ~ spl6_10
    | ~ spl6_36
    | ~ spl6_39 ),
    inference(avatar_contradiction_clause,[],[f1274]) ).

fof(f1274,plain,
    ( $false
    | ~ spl6_1
    | spl6_2
    | ~ spl6_5
    | ~ spl6_7
    | ~ spl6_10
    | ~ spl6_36
    | ~ spl6_39 ),
    inference(subsumption_resolution,[],[f1273,f103]) ).

fof(f103,plain,
    ( h(sF4)
    | ~ spl6_5 ),
    inference(superposition,[],[f99,f76]) ).

fof(f76,plain,
    opp(sF3) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f99,plain,
    ( ! [X0] : h(opp(X0))
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl6_5
  <=> ! [X0] : h(opp(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f1273,plain,
    ( ~ h(sF4)
    | ~ spl6_1
    | spl6_2
    | ~ spl6_5
    | ~ spl6_7
    | ~ spl6_10
    | ~ spl6_36
    | ~ spl6_39 ),
    inference(subsumption_resolution,[],[f1265,f87]) ).

fof(f87,plain,
    ( sF2 != sF4
    | spl6_2 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl6_2
  <=> sF2 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f1265,plain,
    ( sF2 = sF4
    | ~ h(sF4)
    | ~ spl6_1
    | ~ spl6_5
    | ~ spl6_7
    | ~ spl6_10
    | ~ spl6_36
    | ~ spl6_39 ),
    inference(superposition,[],[f56,f1242]) ).

fof(f1242,plain,
    ( sF2 = sum(sF4,eg)
    | ~ spl6_1
    | ~ spl6_5
    | ~ spl6_7
    | ~ spl6_10
    | ~ spl6_36
    | ~ spl6_39 ),
    inference(forward_demodulation,[],[f1241,f1053]) ).

fof(f1053,plain,
    ( sF2 = sum(eg,sF2)
    | ~ spl6_1
    | ~ spl6_39 ),
    inference(forward_demodulation,[],[f978,f82]) ).

fof(f82,plain,
    ( eg = sF5
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl6_1
  <=> eg = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f978,plain,
    ( sF2 = sum(sF5,sF2)
    | ~ spl6_39 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl6_39
  <=> sF2 = sum(sF5,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).

fof(f1241,plain,
    ( sum(eg,sF2) = sum(sF4,eg)
    | ~ spl6_1
    | ~ spl6_5
    | ~ spl6_7
    | ~ spl6_10
    | ~ spl6_36 ),
    inference(forward_demodulation,[],[f1240,f76]) ).

fof(f1240,plain,
    ( sum(eg,sF2) = sum(opp(sF3),eg)
    | ~ spl6_1
    | ~ spl6_5
    | ~ spl6_7
    | ~ spl6_10
    | ~ spl6_36 ),
    inference(subsumption_resolution,[],[f1239,f161]) ).

fof(f161,plain,
    ( h(sF3)
    | ~ spl6_10 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl6_10
  <=> h(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).

fof(f1239,plain,
    ( sum(eg,sF2) = sum(opp(sF3),eg)
    | ~ h(sF3)
    | ~ spl6_1
    | ~ spl6_5
    | ~ spl6_7
    | ~ spl6_36 ),
    inference(subsumption_resolution,[],[f1236,f116]) ).

fof(f116,plain,
    ( h(sF2)
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl6_7
  <=> h(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f1236,plain,
    ( sum(eg,sF2) = sum(opp(sF3),eg)
    | ~ h(sF2)
    | ~ h(sF3)
    | ~ spl6_1
    | ~ spl6_5
    | ~ spl6_36 ),
    inference(superposition,[],[f203,f1227]) ).

fof(f1227,plain,
    ( eg = sum(sF3,sF2)
    | ~ spl6_1
    | ~ spl6_36 ),
    inference(forward_demodulation,[],[f1226,f82]) ).

fof(f1226,plain,
    ( sF5 = sum(sF3,sF2)
    | ~ spl6_36 ),
    inference(forward_demodulation,[],[f1221,f77]) ).

fof(f77,plain,
    f(eh) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f1221,plain,
    ( f(eh) = sum(sF3,sF2)
    | ~ spl6_36 ),
    inference(superposition,[],[f269,f955]) ).

fof(f955,plain,
    ( eh = product(sK0,sF1)
    | ~ spl6_36 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f953,plain,
    ( spl6_36
  <=> eh = product(sK0,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).

fof(f269,plain,
    f(product(sK0,sF1)) = sum(sF3,sF2),
    inference(superposition,[],[f177,f74]) ).

fof(f74,plain,
    f(sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f177,plain,
    ! [X0] : f(product(sK0,X0)) = sum(sF3,f(X0)),
    inference(superposition,[],[f71,f75]) ).

fof(f75,plain,
    f(sK0) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f71,plain,
    ! [X0,X1] : f(product(X1,X0)) = sum(f(X1),f(X0)),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1] : f(product(X1,X0)) = sum(f(X1),f(X0)),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos18) ).

fof(f203,plain,
    ( ! [X0,X1] :
        ( sum(eg,X1) = sum(opp(X0),sum(X0,X1))
        | ~ h(X1)
        | ~ h(X0) )
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f197,f99]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( sum(eg,X1) = sum(opp(X0),sum(X0,X1))
      | ~ h(X1)
      | ~ h(X0)
      | ~ h(opp(X0)) ),
    inference(duplicate_literal_removal,[],[f188]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( sum(eg,X1) = sum(opp(X0),sum(X0,X1))
      | ~ h(X1)
      | ~ h(X0)
      | ~ h(opp(X0))
      | ~ h(X0) ),
    inference(superposition,[],[f58,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( eg = sum(opp(X0),X0)
      | ~ h(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( eg = sum(opp(X0),X0)
      | ~ h(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( h(X0)
     => eg = sum(opp(X0),X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X1] :
      ( h(X1)
     => eg = sum(opp(X1),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos16) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( sum(sum(X2,X1),X0) = sum(X2,sum(X1,X0))
      | ~ h(X0)
      | ~ h(X1)
      | ~ h(X2) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( sum(sum(X2,X1),X0) = sum(X2,sum(X1,X0))
      | ~ h(X0)
      | ~ h(X1)
      | ~ h(X2) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( sum(sum(X2,X1),X0) = sum(X2,sum(X1,X0))
      | ~ h(X0)
      | ~ h(X1)
      | ~ h(X2) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ( h(X0)
        & h(X1)
        & h(X2) )
     => sum(sum(X2,X1),X0) = sum(X2,sum(X1,X0)) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( ( h(X2)
        & h(X0)
        & h(X1) )
     => sum(sum(X1,X0),X2) = sum(X1,sum(X0,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos12) ).

fof(f56,plain,
    ! [X0] :
      ( sum(X0,eg) = X0
      | ~ h(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( sum(X0,eg) = X0
      | ~ h(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( h(X0)
     => sum(X0,eg) = X0 ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1] :
      ( h(X1)
     => sum(X1,eg) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos14) ).

fof(f1013,plain,
    ( spl6_10
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f1012,f90,f160]) ).

fof(f90,plain,
    ( spl6_3
  <=> g(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f1012,plain,
    ( h(sF3)
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f111,f92]) ).

fof(f92,plain,
    ( g(sK0)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f111,plain,
    ( h(sF3)
    | ~ g(sK0) ),
    inference(superposition,[],[f72,f75]) ).

fof(f72,plain,
    ! [X0] :
      ( h(f(X0))
      | ~ g(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( h(f(X0))
      | ~ g(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( g(X0)
     => h(f(X0)) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X1] :
      ( g(X1)
     => h(f(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos17) ).

fof(f979,plain,
    ( ~ spl6_6
    | spl6_39 ),
    inference(avatar_split_clause,[],[f974,f976,f106]) ).

fof(f106,plain,
    ( spl6_6
  <=> g(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f974,plain,
    ( sF2 = sum(sF5,sF2)
    | ~ g(sF1) ),
    inference(forward_demodulation,[],[f534,f74]) ).

fof(f534,plain,
    ( f(sF1) = sum(sF5,sF2)
    | ~ g(sF1) ),
    inference(superposition,[],[f292,f60]) ).

fof(f60,plain,
    ! [X0] :
      ( product(eh,X0) = X0
      | ~ g(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( product(eh,X0) = X0
      | ~ g(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( g(X0)
     => product(eh,X0) = X0 ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1] :
      ( g(X1)
     => product(eh,X1) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos05) ).

fof(f292,plain,
    f(product(eh,sF1)) = sum(sF5,sF2),
    inference(superposition,[],[f178,f74]) ).

fof(f178,plain,
    ! [X0] : f(product(eh,X0)) = sum(sF5,f(X0)),
    inference(superposition,[],[f71,f77]) ).

fof(f956,plain,
    ( ~ spl6_3
    | spl6_36 ),
    inference(avatar_split_clause,[],[f140,f953,f90]) ).

fof(f140,plain,
    ( eh = product(sK0,sF1)
    | ~ g(sK0) ),
    inference(superposition,[],[f65,f73]) ).

fof(f73,plain,
    inv(sK0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f65,plain,
    ! [X0] :
      ( eh = product(X0,inv(X0))
      | ~ g(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( eh = product(X0,inv(X0))
      | ~ g(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( g(X0)
     => eh = product(X0,inv(X0)) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X1] :
      ( g(X1)
     => eh = product(X1,inv(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos07) ).

fof(f923,plain,
    ( spl6_1
    | ~ spl6_5 ),
    inference(avatar_split_clause,[],[f922,f98,f81]) ).

fof(f922,plain,
    ( eg = sF5
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f905,f118]) ).

fof(f118,plain,
    h(sF5),
    inference(subsumption_resolution,[],[f112,f62]) ).

fof(f62,plain,
    g(eh),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    g(eh),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos03) ).

fof(f112,plain,
    ( h(sF5)
    | ~ g(eh) ),
    inference(superposition,[],[f72,f77]) ).

fof(f905,plain,
    ( eg = sF5
    | ~ h(sF5)
    | ~ spl6_5 ),
    inference(superposition,[],[f893,f57]) ).

fof(f57,plain,
    ! [X0] :
      ( sum(eg,X0) = X0
      | ~ h(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( sum(eg,X0) = X0
      | ~ h(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( h(X0)
     => sum(eg,X0) = X0 ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X1] :
      ( h(X1)
     => sum(eg,X1) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos13) ).

fof(f893,plain,
    ( eg = sum(eg,sF5)
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f886,f118]) ).

fof(f886,plain,
    ( eg = sum(eg,sF5)
    | ~ h(sF5)
    | ~ spl6_5 ),
    inference(superposition,[],[f879,f67]) ).

fof(f879,plain,
    ( sum(eg,sF5) = sum(opp(sF5),sF5)
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f854,f118]) ).

fof(f854,plain,
    ( sum(eg,sF5) = sum(opp(sF5),sF5)
    | ~ h(sF5)
    | ~ spl6_5 ),
    inference(duplicate_literal_removal,[],[f845]) ).

fof(f845,plain,
    ( sum(eg,sF5) = sum(opp(sF5),sF5)
    | ~ h(sF5)
    | ~ h(sF5)
    | ~ spl6_5 ),
    inference(superposition,[],[f203,f393]) ).

fof(f393,plain,
    sF5 = sum(sF5,sF5),
    inference(forward_demodulation,[],[f392,f77]) ).

fof(f392,plain,
    f(eh) = sum(sF5,sF5),
    inference(subsumption_resolution,[],[f381,f62]) ).

fof(f381,plain,
    ( f(eh) = sum(sF5,sF5)
    | ~ g(eh) ),
    inference(superposition,[],[f290,f60]) ).

fof(f290,plain,
    f(product(eh,eh)) = sum(sF5,sF5),
    inference(superposition,[],[f178,f77]) ).

fof(f117,plain,
    ( ~ spl6_6
    | spl6_7 ),
    inference(avatar_split_clause,[],[f110,f114,f106]) ).

fof(f110,plain,
    ( h(sF2)
    | ~ g(sF1) ),
    inference(superposition,[],[f72,f74]) ).

fof(f109,plain,
    ( ~ spl6_3
    | spl6_6 ),
    inference(avatar_split_clause,[],[f104,f106,f90]) ).

fof(f104,plain,
    ( g(sF1)
    | ~ g(sK0) ),
    inference(superposition,[],[f66,f73]) ).

fof(f66,plain,
    ! [X0] :
      ( g(inv(X0))
      | ~ g(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( g(inv(X0))
      | ~ g(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( g(X0)
     => g(inv(X0)) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1] :
      ( g(X1)
     => g(inv(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos02) ).

fof(f102,plain,
    ~ spl6_4,
    inference(avatar_contradiction_clause,[],[f101]) ).

fof(f101,plain,
    ( $false
    | ~ spl6_4 ),
    inference(resolution,[],[f96,f70]) ).

fof(f70,plain,
    h(eg),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    h(eg),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos11) ).

fof(f96,plain,
    ( ! [X1] : ~ h(X1)
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl6_4
  <=> ! [X1] : ~ h(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f100,plain,
    ( spl6_4
    | spl6_5 ),
    inference(avatar_split_clause,[],[f69,f98,f95]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( h(opp(X0))
      | ~ h(X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( h(opp(X0))
      | ~ h(X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( h(X1)
     => h(opp(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',sos10) ).

fof(f93,plain,
    ( ~ spl6_1
    | spl6_3 ),
    inference(avatar_split_clause,[],[f79,f90,f81]) ).

fof(f79,plain,
    ( g(sK0)
    | eg != sF5 ),
    inference(definition_folding,[],[f54,f77]) ).

fof(f54,plain,
    ( g(sK0)
    | eg != f(eh) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ( ( f(inv(sK0)) != opp(f(sK0))
      & g(sK0) )
    | eg != f(eh) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f34,f52]) ).

fof(f52,plain,
    ( ? [X0] :
        ( ( f(inv(X0)) != opp(f(X0))
          & g(X0) )
        | eg != f(eh) )
   => ( ( f(inv(sK0)) != opp(f(sK0))
        & g(sK0) )
      | eg != f(eh) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ? [X0] :
      ( ( f(inv(X0)) != opp(f(X0))
        & g(X0) )
      | eg != f(eh) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X0] :
        ( ( f(inv(X0)) = opp(f(X0))
          | ~ g(X0) )
        & eg = f(eh) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X3] :
        ( ( f(inv(X3)) = opp(f(X3))
          | ~ g(X3) )
        & eg = f(eh) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X3] :
      ( ( f(inv(X3)) = opp(f(X3))
        | ~ g(X3) )
      & eg = f(eh) ),
    file('/export/starexec/sandbox/tmp/tmp.JgCxTebj5F/Vampire---4.8_781',goals) ).

fof(f88,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f78,f85,f81]) ).

fof(f78,plain,
    ( sF2 != sF4
    | eg != sF5 ),
    inference(definition_folding,[],[f55,f77,f76,f75,f74,f73]) ).

fof(f55,plain,
    ( f(inv(sK0)) != opp(f(sK0))
    | eg != f(eh) ),
    inference(cnf_transformation,[],[f53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GRP776+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % 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
% 0.10/0.31  % Computer : n026.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 18:41:19 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31  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.JgCxTebj5F/Vampire---4.8_781
% 0.56/0.79  % (894)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 (2995ds/34Mi)
% 0.56/0.79  % (895)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 (2995ds/51Mi)
% 0.56/0.79  % (896)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.79  % (897)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.56/0.79  % (899)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 (2995ds/34Mi)
% 0.56/0.79  % (900)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.56/0.79  % (901)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 (2995ds/83Mi)
% 0.56/0.79  % (902)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 (2995ds/56Mi)
% 0.62/0.79  % (899)Refutation not found, incomplete strategy% (899)------------------------------
% 0.62/0.79  % (899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (899)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  % (900)Refutation not found, incomplete strategy% (900)------------------------------
% 0.62/0.79  % (900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  
% 0.62/0.79  % (899)Memory used [KB]: 1040
% 0.62/0.79  % (894)Refutation not found, incomplete strategy% (894)------------------------------
% 0.62/0.79  % (894)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (899)Time elapsed: 0.003 s
% 0.62/0.79  % (894)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (899)Instructions burned: 3 (million)
% 0.62/0.79  % (894)Memory used [KB]: 1050
% 0.62/0.79  % (899)------------------------------
% 0.62/0.79  % (899)------------------------------
% 0.62/0.79  % (894)Time elapsed: 0.003 s
% 0.62/0.79  % (894)Instructions burned: 3 (million)
% 0.62/0.79  % (894)------------------------------
% 0.62/0.79  % (894)------------------------------
% 0.62/0.79  % (902)Refutation not found, incomplete strategy% (902)------------------------------
% 0.62/0.79  % (902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (902)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (902)Memory used [KB]: 1026
% 0.62/0.79  % (902)Time elapsed: 0.003 s
% 0.62/0.79  % (902)Instructions burned: 3 (million)
% 0.62/0.79  % (902)------------------------------
% 0.62/0.79  % (902)------------------------------
% 0.62/0.79  % (900)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (900)Memory used [KB]: 962
% 0.62/0.79  % (900)Time elapsed: 0.003 s
% 0.62/0.79  % (900)Instructions burned: 3 (million)
% 0.62/0.79  % (900)------------------------------
% 0.62/0.79  % (900)------------------------------
% 0.62/0.79  % (901)Refutation not found, incomplete strategy% (901)------------------------------
% 0.62/0.79  % (901)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (901)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (901)Memory used [KB]: 1026
% 0.62/0.79  % (901)Time elapsed: 0.003 s
% 0.62/0.79  % (901)Instructions burned: 3 (million)
% 0.62/0.79  % (901)------------------------------
% 0.62/0.79  % (901)------------------------------
% 0.62/0.79  % (897)Refutation not found, incomplete strategy% (897)------------------------------
% 0.62/0.79  % (897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (897)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (897)Memory used [KB]: 1053
% 0.62/0.79  % (897)Time elapsed: 0.004 s
% 0.62/0.79  % (897)Instructions burned: 5 (million)
% 0.62/0.79  % (897)------------------------------
% 0.62/0.79  % (897)------------------------------
% 0.62/0.79  % (907)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 (2995ds/52Mi)
% 0.62/0.80  % (906)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 (2995ds/208Mi)
% 0.62/0.80  % (903)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 (2995ds/55Mi)
% 0.62/0.80  % (905)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 (2995ds/50Mi)
% 0.62/0.80  % (908)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 (2995ds/518Mi)
% 0.62/0.80  % (910)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 (2995ds/42Mi)
% 0.62/0.80  % (905)Refutation not found, incomplete strategy% (905)------------------------------
% 0.62/0.80  % (905)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (905)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (905)Memory used [KB]: 1027
% 0.62/0.80  % (905)Time elapsed: 0.003 s
% 0.62/0.80  % (905)Instructions burned: 3 (million)
% 0.62/0.80  % (905)------------------------------
% 0.62/0.80  % (905)------------------------------
% 0.62/0.80  % (910)Refutation not found, incomplete strategy% (910)------------------------------
% 0.62/0.80  % (910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (910)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (910)Memory used [KB]: 1028
% 0.62/0.80  % (910)Time elapsed: 0.003 s
% 0.62/0.80  % (910)Instructions burned: 3 (million)
% 0.62/0.80  % (910)------------------------------
% 0.62/0.80  % (910)------------------------------
% 0.62/0.80  % (911)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 (2995ds/243Mi)
% 0.62/0.80  % (912)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 (2995ds/117Mi)
% 0.62/0.80  % (912)Refutation not found, incomplete strategy% (912)------------------------------
% 0.62/0.80  % (912)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (912)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (912)Memory used [KB]: 1036
% 0.62/0.80  % (912)Time elapsed: 0.003 s
% 0.62/0.80  % (912)Instructions burned: 3 (million)
% 0.62/0.80  % (912)------------------------------
% 0.62/0.80  % (912)------------------------------
% 0.62/0.81  % (913)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 (2995ds/143Mi)
% 0.62/0.81  % (913)Refutation not found, incomplete strategy% (913)------------------------------
% 0.62/0.81  % (913)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (913)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (913)Memory used [KB]: 1051
% 0.62/0.81  % (913)Time elapsed: 0.004 s
% 0.62/0.81  % (913)Instructions burned: 4 (million)
% 0.62/0.81  % (913)------------------------------
% 0.62/0.81  % (913)------------------------------
% 0.62/0.81  % (914)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 (2995ds/93Mi)
% 0.62/0.81  % (895)Instruction limit reached!
% 0.62/0.81  % (895)------------------------------
% 0.62/0.81  % (895)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (895)Termination reason: Unknown
% 0.62/0.81  % (895)Termination phase: Saturation
% 0.62/0.81  
% 0.62/0.81  % (895)Memory used [KB]: 1479
% 0.62/0.81  % (895)Time elapsed: 0.027 s
% 0.62/0.81  % (895)Instructions burned: 51 (million)
% 0.62/0.81  % (895)------------------------------
% 0.62/0.81  % (895)------------------------------
% 0.62/0.82  % (906)First to succeed.
% 0.62/0.82  % (915)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 (2995ds/62Mi)
% 0.62/0.82  % (906)Refutation found. Thanks to Tanya!
% 0.62/0.82  % SZS status Theorem for Vampire---4
% 0.62/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82  % (906)------------------------------
% 0.62/0.82  % (906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (906)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (906)Memory used [KB]: 1425
% 0.62/0.82  % (906)Time elapsed: 0.024 s
% 0.62/0.82  % (906)Instructions burned: 44 (million)
% 0.62/0.82  % (906)------------------------------
% 0.62/0.82  % (906)------------------------------
% 0.62/0.82  % (891)Success in time 0.499 s
% 0.62/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------