TSTP Solution File: GEO582+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n001.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 Aug 31 16:13:08 EDT 2022

% Result   : Theorem 2.41s 0.68s
% Output   : Refutation 2.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   87 (  14 unt;   0 def)
%            Number of atoms       :  258 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  257 (  86   ~;  80   |;  67   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  373 ( 341   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1691,plain,
    $false,
    inference(resolution,[],[f1682,f538]) ).

fof(f538,plain,
    ~ para(sK11,sK15,sK14,sK13),
    inference(cnf_transformation,[],[f413]) ).

fof(f413,plain,
    ( circle(sK17,sK18,sK11,sK12)
    & coll(sK13,sK18,sK15)
    & coll(sK14,sK16,sK11)
    & perp(sK18,sK15,sK18,sK14)
    & circle(sK17,sK18,sK15,sK16)
    & ~ para(sK11,sK15,sK14,sK13)
    & perp(sK16,sK11,sK16,sK13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18])],[f411,f412]) ).

fof(f412,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( circle(X6,X7,X0,X1)
        & coll(X2,X7,X4)
        & coll(X3,X5,X0)
        & perp(X7,X4,X7,X3)
        & circle(X6,X7,X4,X5)
        & ~ para(X0,X4,X3,X2)
        & perp(X5,X0,X5,X2) )
   => ( circle(sK17,sK18,sK11,sK12)
      & coll(sK13,sK18,sK15)
      & coll(sK14,sK16,sK11)
      & perp(sK18,sK15,sK18,sK14)
      & circle(sK17,sK18,sK15,sK16)
      & ~ para(sK11,sK15,sK14,sK13)
      & perp(sK16,sK11,sK16,sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f411,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( circle(X6,X7,X0,X1)
      & coll(X2,X7,X4)
      & coll(X3,X5,X0)
      & perp(X7,X4,X7,X3)
      & circle(X6,X7,X4,X5)
      & ~ para(X0,X4,X3,X2)
      & perp(X5,X0,X5,X2) ),
    inference(rectify,[],[f230]) ).

fof(f230,plain,
    ? [X7,X3,X5,X0,X2,X4,X6,X1] :
      ( circle(X6,X1,X7,X3)
      & coll(X5,X1,X2)
      & coll(X0,X4,X7)
      & perp(X1,X2,X1,X0)
      & circle(X6,X1,X2,X4)
      & ~ para(X7,X2,X0,X5)
      & perp(X4,X7,X4,X5) ),
    inference(flattening,[],[f229]) ).

fof(f229,plain,
    ? [X0,X3,X6,X7,X2,X1,X5,X4] :
      ( ~ para(X7,X2,X0,X5)
      & coll(X5,X1,X2)
      & circle(X6,X1,X7,X3)
      & circle(X6,X1,X2,X4)
      & coll(X0,X4,X7)
      & perp(X4,X7,X4,X5)
      & perp(X1,X2,X1,X0) ),
    inference(ennf_transformation,[],[f132]) ).

fof(f132,plain,
    ~ ! [X0,X3,X6,X7,X2,X1,X5,X4] :
        ( ( coll(X5,X1,X2)
          & circle(X6,X1,X7,X3)
          & circle(X6,X1,X2,X4)
          & coll(X0,X4,X7)
          & perp(X4,X7,X4,X5)
          & perp(X1,X2,X1,X0) )
       => para(X7,X2,X0,X5) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X18,X0,X1,X20,X2,X19,X7,X3] :
        ( ( perp(X2,X3,X2,X19)
          & circle(X7,X0,X3,X20)
          & circle(X7,X0,X1,X2)
          & perp(X0,X1,X0,X18)
          & coll(X19,X0,X1)
          & coll(X18,X2,X3) )
       => para(X3,X1,X18,X19) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X18,X0,X1,X20,X2,X19,X7,X3] :
      ( ( perp(X2,X3,X2,X19)
        & circle(X7,X0,X3,X20)
        & circle(X7,X0,X1,X2)
        & perp(X0,X1,X0,X18)
        & coll(X19,X0,X1)
        & coll(X18,X2,X3) )
     => para(X3,X1,X18,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416044) ).

fof(f1682,plain,
    ! [X2,X3,X0,X1] : para(X2,X3,X0,X1),
    inference(subsumption_resolution,[],[f1675,f1441]) ).

fof(f1441,plain,
    ! [X16,X15] : perp(sK11,sK11,X15,X16),
    inference(subsumption_resolution,[],[f1421,f1411]) ).

fof(f1411,plain,
    ! [X2] : cong(sK11,X2,sK11,X2),
    inference(subsumption_resolution,[],[f1410,f1076]) ).

fof(f1076,plain,
    ! [X11,X12] : cyclic(sK11,X11,sK16,X12),
    inference(resolution,[],[f1054,f553]) ).

fof(f553,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X3,X2,X1,X0)
      | cyclic(X3,X1,X2,X0) ),
    inference(cnf_transformation,[],[f422]) ).

fof(f422,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X3,X2,X1,X0)
      | cyclic(X3,X1,X2,X0) ),
    inference(rectify,[],[f215]) ).

fof(f215,plain,
    ! [X2,X0,X1,X3] :
      ( ~ cyclic(X3,X1,X0,X2)
      | cyclic(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X3,X1,X2] :
      ( cyclic(X3,X1,X0,X2)
     => cyclic(X3,X0,X1,X2) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X2,X1,X3,X0] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).

fof(f1054,plain,
    ! [X3,X4] : cyclic(sK11,sK16,X3,X4),
    inference(subsumption_resolution,[],[f1050,f1044]) ).

fof(f1044,plain,
    ! [X10] : cyclic(sK11,sK11,sK16,X10),
    inference(subsumption_resolution,[],[f1040,f1041]) ).

fof(f1041,plain,
    ! [X11] :
      ( cyclic(sK11,sK11,sK16,X11)
      | ~ coll(sK16,X11,sK11) ),
    inference(resolution,[],[f1015,f502]) ).

fof(f502,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X3,X2,X1,X0,X3,X0,X1)
      | ~ coll(X2,X0,X1)
      | cyclic(X3,X1,X2,X0) ),
    inference(cnf_transformation,[],[f371]) ).

fof(f371,plain,
    ! [X0,X1,X2,X3] :
      ( ~ eqangle(X2,X3,X2,X1,X0,X3,X0,X1)
      | cyclic(X3,X1,X2,X0)
      | ~ coll(X2,X0,X1) ),
    inference(rectify,[],[f336]) ).

fof(f336,plain,
    ! [X2,X0,X1,X3] :
      ( ~ eqangle(X1,X3,X1,X0,X2,X3,X2,X0)
      | cyclic(X3,X0,X1,X2)
      | ~ coll(X1,X2,X0) ),
    inference(flattening,[],[f335]) ).

fof(f335,plain,
    ! [X1,X3,X0,X2] :
      ( cyclic(X3,X0,X1,X2)
      | ~ coll(X1,X2,X0)
      | ~ eqangle(X1,X3,X1,X0,X2,X3,X2,X0) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X1,X3,X0,X2] :
      ( ( coll(X1,X2,X0)
        & eqangle(X1,X3,X1,X0,X2,X3,X2,X0) )
     => cyclic(X3,X0,X1,X2) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X1,X8,X9,X0] :
      ( ( eqangle(X8,X0,X8,X1,X9,X0,X9,X1)
        & coll(X8,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).

fof(f1015,plain,
    ! [X6,X7] : eqangle(sK16,sK11,sK16,sK11,X6,X7,X6,X7),
    inference(resolution,[],[f984,f476]) ).

fof(f476,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X2,X6,X0,X4,X5,X3,X7,X1)
      | eqangle(X2,X6,X5,X3,X0,X4,X7,X1) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f346,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X6,X5,X3,X0,X4,X7,X1)
      | ~ eqangle(X2,X6,X0,X4,X5,X3,X7,X1) ),
    inference(rectify,[],[f270]) ).

fof(f270,plain,
    ! [X1,X7,X0,X3,X2,X6,X5,X4] :
      ( eqangle(X0,X5,X6,X3,X1,X2,X4,X7)
      | ~ eqangle(X0,X5,X1,X2,X6,X3,X4,X7) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X2,X1,X7,X4,X5,X6,X0,X3] :
      ( eqangle(X0,X5,X1,X2,X6,X3,X4,X7)
     => eqangle(X0,X5,X6,X3,X1,X2,X4,X7) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X2,X3,X9,X10,X1,X8,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).

fof(f984,plain,
    ! [X6,X5] : eqangle(sK16,sK11,X5,X6,sK16,sK11,X5,X6),
    inference(resolution,[],[f977,f563]) ).

fof(f563,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X5,X2,X1,X0)
      | eqangle(X5,X2,X3,X4,X1,X0,X3,X4) ),
    inference(cnf_transformation,[],[f432]) ).

fof(f432,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X5,X2,X3,X4,X1,X0,X3,X4)
      | ~ para(X5,X2,X1,X0) ),
    inference(rectify,[],[f314]) ).

fof(f314,plain,
    ! [X4,X1,X3,X0,X5,X2] :
      ( eqangle(X2,X3,X0,X5,X1,X4,X0,X5)
      | ~ para(X2,X3,X1,X4) ),
    inference(ennf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X5,X0,X2,X1,X3,X4] :
      ( para(X2,X3,X1,X4)
     => eqangle(X2,X3,X0,X5,X1,X4,X0,X5) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ! [X8,X2,X0,X1,X3,X9] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).

fof(f977,plain,
    para(sK16,sK11,sK16,sK11),
    inference(resolution,[],[f761,f602]) ).

fof(f602,plain,
    perp(sK16,sK13,sK16,sK11),
    inference(resolution,[],[f478,f537]) ).

fof(f537,plain,
    perp(sK16,sK11,sK16,sK13),
    inference(cnf_transformation,[],[f413]) ).

fof(f478,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X1,X3,X2,X0)
      | perp(X2,X0,X1,X3) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f348,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X1,X3)
      | ~ perp(X1,X3,X2,X0) ),
    inference(rectify,[],[f308]) ).

fof(f308,plain,
    ! [X3,X2,X1,X0] :
      ( perp(X1,X3,X2,X0)
      | ~ perp(X2,X0,X1,X3) ),
    inference(ennf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X3,X0,X2,X1] :
      ( perp(X2,X0,X1,X3)
     => perp(X1,X3,X2,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X2,X0,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).

fof(f761,plain,
    ! [X22,X23] :
      ( ~ perp(sK16,sK13,X22,X23)
      | para(sK16,sK11,X22,X23) ),
    inference(resolution,[],[f549,f537]) ).

fof(f549,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X5,X4,X2,X0)
      | ~ perp(X2,X0,X3,X1)
      | para(X5,X4,X3,X1) ),
    inference(cnf_transformation,[],[f418]) ).

fof(f418,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X5,X4,X2,X0)
      | ~ perp(X2,X0,X3,X1)
      | para(X5,X4,X3,X1) ),
    inference(rectify,[],[f260]) ).

fof(f260,plain,
    ! [X1,X5,X0,X4,X3,X2] :
      ( ~ perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X4,X5)
      | para(X2,X3,X4,X5) ),
    inference(flattening,[],[f259]) ).

fof(f259,plain,
    ! [X2,X4,X0,X1,X3,X5] :
      ( para(X2,X3,X4,X5)
      | ~ perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X4,X5) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X2,X4,X0,X1,X3,X5] :
      ( ( perp(X2,X3,X0,X1)
        & perp(X0,X1,X4,X5) )
     => para(X2,X3,X4,X5) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & perp(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).

fof(f1040,plain,
    ! [X10] :
      ( cyclic(sK11,sK11,sK16,X10)
      | coll(sK16,X10,sK11) ),
    inference(resolution,[],[f1015,f575]) ).

fof(f575,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X1,X2,X3,X0,X1,X0,X3)
      | cyclic(X1,X3,X2,X0)
      | coll(X2,X0,X1) ),
    inference(cnf_transformation,[],[f450]) ).

fof(f450,plain,
    ! [X0,X1,X2,X3] :
      ( ~ eqangle(X2,X1,X2,X3,X0,X1,X0,X3)
      | coll(X2,X0,X1)
      | cyclic(X1,X3,X2,X0) ),
    inference(rectify,[],[f311]) ).

fof(f311,plain,
    ! [X0,X1,X3,X2] :
      ( ~ eqangle(X3,X1,X3,X2,X0,X1,X0,X2)
      | coll(X3,X0,X1)
      | cyclic(X1,X2,X3,X0) ),
    inference(flattening,[],[f310]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X1,X2,X3,X0)
      | coll(X3,X0,X1)
      | ~ eqangle(X3,X1,X3,X2,X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X2,X3,X0,X1] :
      ( ( ~ coll(X3,X0,X1)
        & eqangle(X3,X1,X3,X2,X0,X1,X0,X2) )
     => cyclic(X1,X2,X3,X0) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X9,X0,X1,X8] :
      ( ( ~ coll(X8,X9,X0)
        & eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).

fof(f1050,plain,
    ! [X3,X4] :
      ( cyclic(sK11,sK16,X3,X4)
      | ~ cyclic(sK11,sK11,sK16,X4) ),
    inference(resolution,[],[f1044,f511]) ).

fof(f511,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X3,X4,X1)
      | cyclic(X3,X4,X1,X2)
      | ~ cyclic(X0,X3,X4,X2) ),
    inference(cnf_transformation,[],[f381]) ).

fof(f381,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ cyclic(X0,X3,X4,X1)
      | ~ cyclic(X0,X3,X4,X2)
      | cyclic(X3,X4,X1,X2) ),
    inference(rectify,[],[f313]) ).

fof(f313,plain,
    ! [X0,X2,X1,X3,X4] :
      ( ~ cyclic(X0,X3,X4,X2)
      | ~ cyclic(X0,X3,X4,X1)
      | cyclic(X3,X4,X2,X1) ),
    inference(flattening,[],[f312]) ).

fof(f312,plain,
    ! [X2,X0,X3,X4,X1] :
      ( cyclic(X3,X4,X2,X1)
      | ~ cyclic(X0,X3,X4,X2)
      | ~ cyclic(X0,X3,X4,X1) ),
    inference(ennf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X2,X0,X3,X4,X1] :
      ( ( cyclic(X0,X3,X4,X2)
        & cyclic(X0,X3,X4,X1) )
     => cyclic(X3,X4,X2,X1) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X4,X3,X1,X2] :
      ( ( cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).

fof(f1410,plain,
    ! [X2] :
      ( cong(sK11,X2,sK11,X2)
      | ~ cyclic(sK11,X2,sK16,sK16) ),
    inference(subsumption_resolution,[],[f1409,f1076]) ).

fof(f1409,plain,
    ! [X2] :
      ( cong(sK11,X2,sK11,X2)
      | ~ cyclic(sK11,X2,sK16,X2)
      | ~ cyclic(sK11,X2,sK16,sK16) ),
    inference(subsumption_resolution,[],[f1404,f1076]) ).

fof(f1404,plain,
    ! [X2] :
      ( ~ cyclic(sK11,X2,sK16,sK11)
      | cong(sK11,X2,sK11,X2)
      | ~ cyclic(sK11,X2,sK16,X2)
      | ~ cyclic(sK11,X2,sK16,sK16) ),
    inference(resolution,[],[f515,f984]) ).

fof(f515,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X5,X4,X5,X1,X3,X2,X3,X0)
      | ~ cyclic(X4,X1,X5,X3)
      | ~ cyclic(X4,X1,X5,X2)
      | ~ cyclic(X4,X1,X5,X0)
      | cong(X4,X1,X2,X0) ),
    inference(cnf_transformation,[],[f385]) ).

fof(f385,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ cyclic(X4,X1,X5,X2)
      | ~ cyclic(X4,X1,X5,X0)
      | ~ eqangle(X5,X4,X5,X1,X3,X2,X3,X0)
      | ~ cyclic(X4,X1,X5,X3)
      | cong(X4,X1,X2,X0) ),
    inference(rectify,[],[f343]) ).

fof(f343,plain,
    ! [X2,X4,X0,X3,X1,X5] :
      ( ~ cyclic(X1,X4,X5,X0)
      | ~ cyclic(X1,X4,X5,X2)
      | ~ eqangle(X5,X1,X5,X4,X3,X0,X3,X2)
      | ~ cyclic(X1,X4,X5,X3)
      | cong(X1,X4,X0,X2) ),
    inference(flattening,[],[f342]) ).

fof(f342,plain,
    ! [X1,X5,X0,X4,X3,X2] :
      ( cong(X1,X4,X0,X2)
      | ~ cyclic(X1,X4,X5,X0)
      | ~ cyclic(X1,X4,X5,X2)
      | ~ cyclic(X1,X4,X5,X3)
      | ~ eqangle(X5,X1,X5,X4,X3,X0,X3,X2) ),
    inference(ennf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X1,X5,X0,X4,X3,X2] :
      ( ( cyclic(X1,X4,X5,X0)
        & cyclic(X1,X4,X5,X2)
        & cyclic(X1,X4,X5,X3)
        & eqangle(X5,X1,X5,X4,X3,X0,X3,X2) )
     => cong(X1,X4,X0,X2) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X8,X0,X9,X14,X1,X2] :
      ( ( cyclic(X0,X1,X2,X9)
        & eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
        & cyclic(X0,X1,X2,X8)
        & cyclic(X0,X1,X2,X14) )
     => cong(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).

fof(f1421,plain,
    ! [X16,X15] :
      ( ~ cong(sK11,X15,sK11,X15)
      | perp(sK11,sK11,X15,X16) ),
    inference(resolution,[],[f1411,f527]) ).

fof(f527,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X2,X0,X1,X0)
      | ~ cong(X2,X3,X1,X3)
      | perp(X2,X1,X3,X0) ),
    inference(cnf_transformation,[],[f399]) ).

fof(f399,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X2,X3,X1,X3)
      | perp(X2,X1,X3,X0)
      | ~ cong(X2,X0,X1,X0) ),
    inference(rectify,[],[f329]) ).

fof(f329,plain,
    ! [X2,X0,X1,X3] :
      ( ~ cong(X1,X3,X0,X3)
      | perp(X1,X0,X3,X2)
      | ~ cong(X1,X2,X0,X2) ),
    inference(flattening,[],[f328]) ).

fof(f328,plain,
    ! [X2,X0,X3,X1] :
      ( perp(X1,X0,X3,X2)
      | ~ cong(X1,X3,X0,X3)
      | ~ cong(X1,X2,X0,X2) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X2,X0,X3,X1] :
      ( ( cong(X1,X3,X0,X3)
        & cong(X1,X2,X0,X2) )
     => perp(X1,X0,X3,X2) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X1,X0,X9,X8] :
      ( ( cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).

fof(f1675,plain,
    ! [X2,X3,X0,X1] :
      ( para(X2,X3,X0,X1)
      | ~ perp(sK11,sK11,X0,X1) ),
    inference(resolution,[],[f1596,f549]) ).

fof(f1596,plain,
    ! [X6,X7] : perp(X6,X7,sK11,sK11),
    inference(resolution,[],[f1441,f478]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:18:45 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.55  % (21066)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (21067)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.54/0.56  % (21083)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.54/0.56  % (21074)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.54/0.56  % (21067)Instruction limit reached!
% 1.54/0.56  % (21067)------------------------------
% 1.54/0.56  % (21067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56  % (21082)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.54/0.56  % (21075)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.54/0.56  % (21067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56  % (21067)Termination reason: Unknown
% 1.54/0.56  % (21067)Termination phase: Saturation
% 1.54/0.56  
% 1.54/0.56  % (21067)Memory used [KB]: 5756
% 1.54/0.56  % (21067)Time elapsed: 0.007 s
% 1.54/0.56  % (21067)Instructions burned: 7 (million)
% 1.54/0.56  % (21067)------------------------------
% 1.54/0.56  % (21067)------------------------------
% 1.72/0.58  TRYING [1]
% 1.72/0.58  TRYING [2]
% 1.72/0.59  % (21060)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.72/0.60  % (21084)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.72/0.61  % (21064)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.72/0.61  % (21068)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.72/0.61  % (21063)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.72/0.61  % (21065)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.72/0.61  % (21068)Instruction limit reached!
% 1.72/0.61  % (21068)------------------------------
% 1.72/0.61  % (21068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.61  % (21068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.61  % (21068)Termination reason: Unknown
% 1.72/0.61  % (21068)Termination phase: Preprocessing 1
% 1.72/0.61  
% 1.72/0.61  % (21068)Memory used [KB]: 1023
% 1.72/0.61  % (21068)Time elapsed: 0.003 s
% 1.72/0.61  % (21068)Instructions burned: 2 (million)
% 1.72/0.61  % (21068)------------------------------
% 1.72/0.61  % (21068)------------------------------
% 1.72/0.61  % (21077)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.72/0.61  % (21080)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.72/0.62  % (21081)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.72/0.62  % (21079)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.72/0.62  % (21072)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.72/0.62  % (21076)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.72/0.62  % (21073)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.72/0.62  % (21087)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.72/0.62  % (21088)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.72/0.63  % (21085)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.72/0.63  % (21089)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.72/0.63  % (21071)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.72/0.63  % (21066)Instruction limit reached!
% 1.72/0.63  % (21066)------------------------------
% 1.72/0.63  % (21066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.63  % (21062)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.72/0.63  % (21069)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.72/0.63  % (21066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.63  % (21066)Termination reason: Unknown
% 1.72/0.63  % (21066)Termination phase: Finite model building constraint generation
% 1.72/0.63  
% 1.72/0.63  % (21066)Memory used [KB]: 8955
% 1.72/0.63  % (21066)Time elapsed: 0.164 s
% 1.72/0.63  % (21066)Instructions burned: 51 (million)
% 1.72/0.63  % (21066)------------------------------
% 1.72/0.63  % (21066)------------------------------
% 1.72/0.64  % (21078)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.72/0.64  % (21061)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.72/0.65  TRYING [1]
% 1.72/0.65  TRYING [1]
% 1.72/0.65  TRYING [2]
% 2.28/0.65  % (21070)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.28/0.66  % (21086)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.28/0.67  TRYING [2]
% 2.28/0.67  % (21075)First to succeed.
% 2.28/0.67  % (21061)Refutation not found, incomplete strategy% (21061)------------------------------
% 2.28/0.67  % (21061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67  % (21061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67  % (21061)Termination reason: Refutation not found, incomplete strategy
% 2.28/0.67  
% 2.28/0.67  % (21061)Memory used [KB]: 5884
% 2.28/0.67  % (21061)Time elapsed: 0.202 s
% 2.28/0.67  % (21061)Instructions burned: 13 (million)
% 2.28/0.67  % (21061)------------------------------
% 2.28/0.67  % (21061)------------------------------
% 2.41/0.68  % (21075)Refutation found. Thanks to Tanya!
% 2.41/0.68  % SZS status Theorem for theBenchmark
% 2.41/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.68  % (21075)------------------------------
% 2.41/0.68  % (21075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.68  % (21075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.68  % (21075)Termination reason: Refutation
% 2.41/0.68  
% 2.41/0.68  % (21075)Memory used [KB]: 1791
% 2.41/0.68  % (21075)Time elapsed: 0.236 s
% 2.41/0.68  % (21075)Instructions burned: 48 (million)
% 2.41/0.68  % (21075)------------------------------
% 2.41/0.68  % (21075)------------------------------
% 2.41/0.68  % (21059)Success in time 0.324 s
%------------------------------------------------------------------------------