TSTP Solution File: ALG429-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG429-1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 18:21:36 EDT 2024

% Result   : Unsatisfiable 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   52 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :  692 (  25 equ)
%            Maximal formula atoms :    4 (  13 avg)
%            Number of connectives :  154 (  58   ~;  87   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  545 ( 545 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  21 usr;  14 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   12 (  11   !;   0   ?;  11   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_68,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f1545,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1483,f1488,f1502,f1508,f1510,f1516,f1522,f1524,f1526,f1528,f1538,f1543]) ).

tff(f1543,plain,
    ( ~ spl1_2
    | spl1_3
    | ~ spl1_6 ),
    inference(avatar_contradiction_clause,[],[f1542]) ).

tff(f1542,plain,
    ( $false
    | ~ spl1_2
    | spl1_3
    | ~ spl1_6 ),
    inference(subsumption_resolution,[],[f1540,f1482]) ).

tff(f1482,plain,
    ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex))
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f1480]) ).

tff(f1480,plain,
    ( spl1_2
  <=> sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f1540,plain,
    ( ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex))
    | spl1_3
    | ~ spl1_6 ),
    inference(resolution,[],[f1487,f1501]) ).

tff(f1501,plain,
    ( ! [X25: $i] :
        ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,X25,tc_Complex_Ocomplex))
        | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,X25,tc_Complex_Ocomplex)) )
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f1500]) ).

tff(f1500,plain,
    ( spl1_6
  <=> ! [X25] :
        ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,X25,tc_Complex_Ocomplex))
        | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,X25,tc_Complex_Ocomplex)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

tff(f1487,plain,
    ( ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex))
    | spl1_3 ),
    inference(avatar_component_clause,[],[f1485]) ).

tff(f1485,plain,
    ( spl1_3
  <=> sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

tff(f1538,plain,
    ( ~ spl1_6
    | ~ spl1_8
    | spl1_9 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

tff(f1537,plain,
    ( $false
    | ~ spl1_6
    | ~ spl1_8
    | spl1_9 ),
    inference(subsumption_resolution,[],[f1535,f1515]) ).

tff(f1515,plain,
    ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex))
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f1513]) ).

tff(f1513,plain,
    ( spl1_8
  <=> sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

tff(f1535,plain,
    ( ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex))
    | ~ spl1_6
    | spl1_9 ),
    inference(resolution,[],[f1521,f1501]) ).

tff(f1521,plain,
    ( ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex))
    | spl1_9 ),
    inference(avatar_component_clause,[],[f1519]) ).

tff(f1519,plain,
    ( spl1_9
  <=> sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).

tff(f1528,plain,
    ~ spl1_5,
    inference(avatar_split_clause,[],[f1472,f1494]) ).

tff(f1494,plain,
    ( spl1_5
  <=> sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

tff(f1472,plain,
    ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),
    inference(equality_proxy_replacement,[],[f1152,f1356]) ).

tff(f1356,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f1152,axiom,
    c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pe_0) ).

tff(f1526,plain,
    ( ~ spl1_9
    | spl1_7
    | spl1_5
    | spl1_1 ),
    inference(avatar_split_clause,[],[f1470,f1476,f1494,f1505,f1519]) ).

tff(f1505,plain,
    ( spl1_7
  <=> sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

tff(f1476,plain,
    ( spl1_1
  <=> c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f1470,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p)
    | sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))
    | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)) ),
    inference(equality_proxy_replacement,[],[f1158,f1356]) ).

tff(f1158,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p )
    | ( c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) )
    | ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_2) ).

tff(f1524,plain,
    ( spl1_5
    | spl1_1
    | spl1_8
    | spl1_7 ),
    inference(avatar_split_clause,[],[f1468,f1505,f1513,f1476,f1494]) ).

tff(f1468,plain,
    ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))
    | sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p) ),
    inference(equality_proxy_replacement,[],[f1160,f1356]) ).

tff(f1160,axiom,
    ( ( c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) )
    | ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) )
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

tff(f1522,plain,
    ( ~ spl1_9
    | ~ spl1_7
    | spl1_5
    | spl1_1 ),
    inference(avatar_split_clause,[],[f1466,f1476,f1494,f1505,f1519]) ).

tff(f1466,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p)
    | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))
    | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)) ),
    inference(equality_proxy_replacement,[],[f1164,f1356]) ).

tff(f1164,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p )
    | ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) )
    | ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_2_04) ).

tff(f1516,plain,
    ( ~ spl1_7
    | spl1_5
    | spl1_1
    | spl1_8 ),
    inference(avatar_split_clause,[],[f1464,f1513,f1476,f1494,f1505]) ).

tff(f1464,plain,
    ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p)
    | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)) ),
    inference(equality_proxy_replacement,[],[f1166,f1356]) ).

tff(f1166,axiom,
    ( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) )
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p )
    | ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_06) ).

tff(f1510,plain,
    ( ~ spl1_1
    | spl1_7
    | spl1_6 ),
    inference(avatar_split_clause,[],[f1430,f1500,f1505,f1476]) ).

tff(f1430,plain,
    ! [X4: $i] :
      ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,X4,tc_Complex_Ocomplex))
      | sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,X4,tc_Complex_Ocomplex)) ),
    inference(equality_proxy_replacement,[],[f1156,f1356]) ).

tff(f1156,axiom,
    ! [X4: $i] :
      ( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,X4,tc_Complex_Ocomplex) )
      | ( c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) )
      | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,X4,tc_Complex_Ocomplex) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_4) ).

tff(f1508,plain,
    ( ~ spl1_1
    | ~ spl1_7
    | spl1_6 ),
    inference(avatar_split_clause,[],[f1428,f1500,f1505,f1476]) ).

tff(f1428,plain,
    ! [X4: $i] :
      ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,X4,tc_Complex_Ocomplex))
      | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,X4,tc_Complex_Ocomplex)) ),
    inference(equality_proxy_replacement,[],[f1162,f1356]) ).

tff(f1162,axiom,
    ! [X4: $i] :
      ( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,X4,tc_Complex_Ocomplex) )
      | ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) )
      | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,X4,tc_Complex_Ocomplex) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_4_02) ).

tff(f1502,plain,
    ( spl1_5
    | spl1_1
    | spl1_6 ),
    inference(avatar_split_clause,[],[f1361,f1500,f1476,f1494]) ).

tff(f1361,plain,
    ! [X25: $i] :
      ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,X25,tc_Complex_Ocomplex))
      | c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p)
      | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,X25,tc_Complex_Ocomplex)) ),
    inference(equality_proxy_replacement,[],[f1171,f1356]) ).

tff(f1171,axiom,
    ! [X25: $i] :
      ( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,X25,tc_Complex_Ocomplex) )
      | c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p )
      | ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,X25,tc_Complex_Ocomplex) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

tff(f1488,plain,
    ( ~ spl1_3
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f1358,f1476,f1485]) ).

tff(f1358,plain,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)) ),
    inference(equality_proxy_replacement,[],[f1168,f1356]) ).

tff(f1168,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

tff(f1483,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f1357,f1480,f1476]) ).

tff(f1357,plain,
    ( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(equality_proxy_replacement,[],[f1167,f1356]) ).

tff(f1167,axiom,
    ( ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) )
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : ALG429-1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n028.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   : Sat May 18 23:07:37 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.31  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.80  % (4507)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.80  % (4505)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 (2995ds/34Mi)
% 0.60/0.80  % (4509)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 (2995ds/34Mi)
% 0.60/0.80  % (4506)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 (2995ds/51Mi)
% 0.60/0.80  % (4508)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.80  % (4510)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.80  % (4512)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 (2995ds/56Mi)
% 0.60/0.80  % (4511)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 (2995ds/83Mi)
% 0.60/0.80  % (4508)Refutation not found, incomplete strategy% (4508)------------------------------
% 0.60/0.80  % (4508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (4508)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (4508)Memory used [KB]: 1910
% 0.60/0.80  % (4508)Time elapsed: 0.006 s
% 0.60/0.80  % (4508)Instructions burned: 8 (million)
% 0.60/0.80  % (4508)------------------------------
% 0.60/0.80  % (4508)------------------------------
% 0.60/0.81  % (4505)First to succeed.
% 0.60/0.81  % (4505)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4504"
% 0.60/0.81  % (4513)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 (2995ds/55Mi)
% 0.60/0.81  % (4505)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Unsatisfiable for theBenchmark
% 0.60/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.81  % (4505)------------------------------
% 0.60/0.81  % (4505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (4505)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (4505)Memory used [KB]: 2106
% 0.60/0.81  % (4505)Time elapsed: 0.010 s
% 0.60/0.81  % (4505)Instructions burned: 20 (million)
% 0.60/0.81  % (4504)Success in time 0.483 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------