TSTP Solution File: GEO648+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO648+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 : n006.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 16:13:17 EDT 2022

% Result   : Theorem 2.67s 0.70s
% Output   : Refutation 2.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   86 (  14 unt;   0 def)
%            Number of atoms       :  255 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  253 (  84   ~;  78   |;  67   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  376 ( 340   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1789,plain,
    $false,
    inference(resolution,[],[f1597,f558]) ).

fof(f558,plain,
    ~ para(sK15,sK17,sK18,sK19),
    inference(cnf_transformation,[],[f440]) ).

fof(f440,plain,
    ( circle(sK15,sK21,sK19,sK22)
    & coll(sK21,sK15,sK19)
    & circle(sK15,sK18,sK21,sK23)
    & perp(sK15,sK21,sK21,sK17)
    & perp(sK15,sK18,sK18,sK17)
    & ~ para(sK15,sK17,sK18,sK19)
    & circle(sK15,sK18,sK16,sK20) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23])],[f438,f439]) ).

fof(f439,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( circle(X0,X6,X4,X7)
        & coll(X6,X0,X4)
        & circle(X0,X3,X6,X8)
        & perp(X0,X6,X6,X2)
        & perp(X0,X3,X3,X2)
        & ~ para(X0,X2,X3,X4)
        & circle(X0,X3,X1,X5) )
   => ( circle(sK15,sK21,sK19,sK22)
      & coll(sK21,sK15,sK19)
      & circle(sK15,sK18,sK21,sK23)
      & perp(sK15,sK21,sK21,sK17)
      & perp(sK15,sK18,sK18,sK17)
      & ~ para(sK15,sK17,sK18,sK19)
      & circle(sK15,sK18,sK16,sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f438,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( circle(X0,X6,X4,X7)
      & coll(X6,X0,X4)
      & circle(X0,X3,X6,X8)
      & perp(X0,X6,X6,X2)
      & perp(X0,X3,X3,X2)
      & ~ para(X0,X2,X3,X4)
      & circle(X0,X3,X1,X5) ),
    inference(rectify,[],[f333]) ).

fof(f333,plain,
    ? [X7,X8,X5,X3,X1,X0,X4,X2,X6] :
      ( circle(X7,X4,X1,X2)
      & coll(X4,X7,X1)
      & circle(X7,X3,X4,X6)
      & perp(X7,X4,X4,X5)
      & perp(X7,X3,X3,X5)
      & ~ para(X7,X5,X3,X1)
      & circle(X7,X3,X8,X0) ),
    inference(flattening,[],[f332]) ).

fof(f332,plain,
    ? [X6,X1,X7,X2,X8,X0,X5,X3,X4] :
      ( ~ para(X7,X5,X3,X1)
      & perp(X7,X4,X4,X5)
      & perp(X7,X3,X3,X5)
      & circle(X7,X4,X1,X2)
      & circle(X7,X3,X4,X6)
      & coll(X4,X7,X1)
      & circle(X7,X3,X8,X0) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,plain,
    ~ ! [X6,X1,X7,X2,X8,X0,X5,X3,X4] :
        ( ( perp(X7,X4,X4,X5)
          & perp(X7,X3,X3,X5)
          & circle(X7,X4,X1,X2)
          & circle(X7,X3,X4,X6)
          & coll(X4,X7,X1)
          & circle(X7,X3,X8,X0) )
       => para(X7,X5,X3,X1) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X19,X4,X21,X1,X2,X3,X20,X0,X18] :
        ( ( coll(X2,X0,X4)
          & circle(X0,X1,X18,X19)
          & perp(X0,X2,X2,X3)
          & circle(X0,X1,X2,X20)
          & circle(X0,X2,X4,X21)
          & perp(X0,X1,X1,X3) )
       => para(X0,X3,X1,X4) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X19,X4,X21,X1,X2,X3,X20,X0,X18] :
      ( ( coll(X2,X0,X4)
        & circle(X0,X1,X18,X19)
        & perp(X0,X2,X2,X3)
        & circle(X0,X1,X2,X20)
        & circle(X0,X2,X4,X21)
        & perp(X0,X1,X1,X3) )
     => para(X0,X3,X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0213) ).

fof(f1597,plain,
    ! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
    inference(subsumption_resolution,[],[f1589,f1590]) ).

fof(f1590,plain,
    ! [X4,X5] : perp(X4,X5,sK17,sK17),
    inference(resolution,[],[f1447,f538]) ).

fof(f538,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X3,X0,X2,X1)
      | perp(X2,X1,X3,X0) ),
    inference(cnf_transformation,[],[f418]) ).

fof(f418,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X1,X3,X0)
      | ~ perp(X3,X0,X2,X1) ),
    inference(rectify,[],[f205]) ).

fof(f205,plain,
    ! [X0,X3,X2,X1] :
      ( perp(X2,X3,X1,X0)
      | ~ perp(X1,X0,X2,X3) ),
    inference(ennf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X2,X1,X3] :
      ( perp(X1,X0,X2,X3)
     => perp(X2,X3,X1,X0) ),
    inference(rectify,[],[f8]) ).

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

fof(f1447,plain,
    ! [X16,X15] : perp(sK17,sK17,X15,X16),
    inference(subsumption_resolution,[],[f1431,f1422]) ).

fof(f1422,plain,
    ! [X0] : cong(sK17,X0,sK17,X0),
    inference(subsumption_resolution,[],[f1421,f930]) ).

fof(f930,plain,
    ! [X10,X9] : cyclic(sK17,X9,sK18,X10),
    inference(resolution,[],[f919,f568]) ).

fof(f568,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f445]) ).

fof(f445,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(rectify,[],[f334]) ).

fof(f334,plain,
    ! [X3,X0,X2,X1] :
      ( ~ cyclic(X3,X0,X2,X1)
      | cyclic(X3,X2,X0,X1) ),
    inference(ennf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X3,X2,X0,X1] :
      ( cyclic(X3,X0,X2,X1)
     => cyclic(X3,X2,X0,X1) ),
    inference(rectify,[],[f15]) ).

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

fof(f919,plain,
    ! [X2,X1] : cyclic(sK17,sK18,X1,X2),
    inference(subsumption_resolution,[],[f914,f912]) ).

fof(f912,plain,
    ! [X10] : cyclic(sK17,sK17,sK18,X10),
    inference(subsumption_resolution,[],[f910,f911]) ).

fof(f911,plain,
    ! [X11] :
      ( cyclic(sK17,sK17,sK18,X11)
      | coll(sK18,X11,sK17) ),
    inference(resolution,[],[f880,f485]) ).

fof(f485,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X3,X0,X3,X2,X1,X0,X1,X2)
      | cyclic(X0,X2,X3,X1)
      | coll(X3,X1,X0) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f355,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X3,X1,X0)
      | ~ eqangle(X3,X0,X3,X2,X1,X0,X1,X2)
      | cyclic(X0,X2,X3,X1) ),
    inference(rectify,[],[f297]) ).

fof(f297,plain,
    ! [X0,X2,X1,X3] :
      ( coll(X3,X2,X0)
      | ~ eqangle(X3,X0,X3,X1,X2,X0,X2,X1)
      | cyclic(X0,X1,X3,X2) ),
    inference(flattening,[],[f296]) ).

fof(f296,plain,
    ! [X2,X1,X0,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ eqangle(X3,X0,X3,X1,X2,X0,X2,X1)
      | coll(X3,X2,X0) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X2,X1,X0,X3] :
      ( ( eqangle(X3,X0,X3,X1,X2,X0,X2,X1)
        & ~ coll(X3,X2,X0) )
     => cyclic(X0,X1,X3,X2) ),
    inference(rectify,[],[f42]) ).

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

fof(f880,plain,
    ! [X2,X3] : eqangle(sK18,sK17,sK18,sK17,X2,X3,X2,X3),
    inference(resolution,[],[f811,f587]) ).

fof(f587,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X4,X0,X6,X5,X3,X2,X7,X1)
      | eqangle(X4,X0,X3,X2,X6,X5,X7,X1) ),
    inference(cnf_transformation,[],[f467]) ).

fof(f467,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ eqangle(X4,X0,X6,X5,X3,X2,X7,X1)
      | eqangle(X4,X0,X3,X2,X6,X5,X7,X1) ),
    inference(rectify,[],[f225]) ).

fof(f225,plain,
    ! [X0,X6,X1,X2,X7,X4,X5,X3] :
      ( ~ eqangle(X7,X0,X5,X4,X2,X1,X3,X6)
      | eqangle(X7,X0,X2,X1,X5,X4,X3,X6) ),
    inference(ennf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X5,X4,X7,X1,X0,X3,X2,X6] :
      ( eqangle(X7,X0,X5,X4,X2,X1,X3,X6)
     => eqangle(X7,X0,X2,X1,X5,X4,X3,X6) ),
    inference(rectify,[],[f21]) ).

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

fof(f811,plain,
    ! [X4,X5] : eqangle(sK18,sK17,X4,X5,sK18,sK17,X4,X5),
    inference(resolution,[],[f807,f565]) ).

fof(f565,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X1,X5,X2,X3)
      | eqangle(X1,X5,X0,X4,X2,X3,X0,X4) ),
    inference(cnf_transformation,[],[f442]) ).

fof(f442,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X1,X5,X2,X3)
      | eqangle(X1,X5,X0,X4,X2,X3,X0,X4) ),
    inference(rectify,[],[f200]) ).

fof(f200,plain,
    ! [X5,X4,X1,X2,X3,X0] :
      ( ~ para(X4,X0,X1,X2)
      | eqangle(X4,X0,X5,X3,X1,X2,X5,X3) ),
    inference(ennf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X2,X3,X1,X5,X0,X4] :
      ( para(X4,X0,X1,X2)
     => eqangle(X4,X0,X5,X3,X1,X2,X5,X3) ),
    inference(rectify,[],[f40]) ).

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

fof(f807,plain,
    para(sK18,sK17,sK18,sK17),
    inference(resolution,[],[f719,f608]) ).

fof(f608,plain,
    perp(sK18,sK17,sK15,sK18),
    inference(resolution,[],[f538,f559]) ).

fof(f559,plain,
    perp(sK15,sK18,sK18,sK17),
    inference(cnf_transformation,[],[f440]) ).

fof(f719,plain,
    ! [X6,X7] :
      ( ~ perp(X6,X7,sK15,sK18)
      | para(X6,X7,sK18,sK17) ),
    inference(resolution,[],[f527,f559]) ).

fof(f527,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X5,X3,X0,X4)
      | ~ perp(X1,X2,X5,X3)
      | para(X1,X2,X0,X4) ),
    inference(cnf_transformation,[],[f403]) ).

fof(f403,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X5,X3,X0,X4)
      | ~ perp(X1,X2,X5,X3)
      | para(X1,X2,X0,X4) ),
    inference(rectify,[],[f292]) ).

fof(f292,plain,
    ! [X0,X3,X4,X2,X1,X5] :
      ( ~ perp(X5,X2,X0,X1)
      | ~ perp(X3,X4,X5,X2)
      | para(X3,X4,X0,X1) ),
    inference(flattening,[],[f291]) ).

fof(f291,plain,
    ! [X5,X3,X2,X0,X1,X4] :
      ( para(X3,X4,X0,X1)
      | ~ perp(X3,X4,X5,X2)
      | ~ perp(X5,X2,X0,X1) ),
    inference(ennf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X5,X3,X2,X0,X1,X4] :
      ( ( perp(X3,X4,X5,X2)
        & perp(X5,X2,X0,X1) )
     => para(X3,X4,X0,X1) ),
    inference(rectify,[],[f9]) ).

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

fof(f910,plain,
    ! [X10] :
      ( cyclic(sK17,sK17,sK18,X10)
      | ~ coll(sK18,X10,sK17) ),
    inference(resolution,[],[f880,f507]) ).

fof(f507,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X3,X2,X3,X0,X1,X2,X1,X0)
      | ~ coll(X3,X1,X0)
      | cyclic(X2,X0,X3,X1) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X3,X1,X0)
      | ~ eqangle(X3,X2,X3,X0,X1,X2,X1,X0)
      | cyclic(X2,X0,X3,X1) ),
    inference(flattening,[],[f193]) ).

fof(f193,plain,
    ! [X2,X1,X0,X3] :
      ( cyclic(X2,X0,X3,X1)
      | ~ coll(X3,X1,X0)
      | ~ eqangle(X3,X2,X3,X0,X1,X2,X1,X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X2,X1,X0,X3] :
      ( ( coll(X3,X1,X0)
        & eqangle(X3,X2,X3,X0,X1,X2,X1,X0) )
     => cyclic(X2,X0,X3,X1) ),
    inference(rectify,[],[f43]) ).

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

fof(f914,plain,
    ! [X2,X1] :
      ( ~ cyclic(sK17,sK17,sK18,X1)
      | cyclic(sK17,sK18,X1,X2) ),
    inference(resolution,[],[f912,f516]) ).

fof(f516,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X3,X4,X1,X0)
      | ~ cyclic(X3,X4,X1,X2)
      | cyclic(X4,X1,X2,X0) ),
    inference(cnf_transformation,[],[f391]) ).

fof(f391,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ cyclic(X3,X4,X1,X0)
      | ~ cyclic(X3,X4,X1,X2)
      | cyclic(X4,X1,X2,X0) ),
    inference(rectify,[],[f232]) ).

fof(f232,plain,
    ! [X4,X2,X0,X1,X3] :
      ( ~ cyclic(X1,X3,X2,X4)
      | ~ cyclic(X1,X3,X2,X0)
      | cyclic(X3,X2,X0,X4) ),
    inference(flattening,[],[f231]) ).

fof(f231,plain,
    ! [X1,X2,X0,X4,X3] :
      ( cyclic(X3,X2,X0,X4)
      | ~ cyclic(X1,X3,X2,X4)
      | ~ cyclic(X1,X3,X2,X0) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X1,X2,X0,X4,X3] :
      ( ( cyclic(X1,X3,X2,X4)
        & cyclic(X1,X3,X2,X0) )
     => cyclic(X3,X2,X0,X4) ),
    inference(rectify,[],[f17]) ).

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

fof(f1421,plain,
    ! [X0] :
      ( cong(sK17,X0,sK17,X0)
      | ~ cyclic(sK17,X0,sK18,sK18) ),
    inference(subsumption_resolution,[],[f1420,f930]) ).

fof(f1420,plain,
    ! [X0] :
      ( ~ cyclic(sK17,X0,sK18,X0)
      | ~ cyclic(sK17,X0,sK18,sK18)
      | cong(sK17,X0,sK17,X0) ),
    inference(subsumption_resolution,[],[f1409,f930]) ).

fof(f1409,plain,
    ! [X0] :
      ( ~ cyclic(sK17,X0,sK18,sK17)
      | ~ cyclic(sK17,X0,sK18,X0)
      | cong(sK17,X0,sK17,X0)
      | ~ cyclic(sK17,X0,sK18,sK18) ),
    inference(resolution,[],[f498,f811]) ).

fof(f498,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X4,X3,X4,X1,X5,X0,X5,X2)
      | ~ cyclic(X3,X1,X4,X0)
      | cong(X3,X1,X0,X2)
      | ~ cyclic(X3,X1,X4,X2)
      | ~ cyclic(X3,X1,X4,X5) ),
    inference(cnf_transformation,[],[f370]) ).

fof(f370,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X3,X1,X0,X2)
      | ~ cyclic(X3,X1,X4,X2)
      | ~ eqangle(X4,X3,X4,X1,X5,X0,X5,X2)
      | ~ cyclic(X3,X1,X4,X0)
      | ~ cyclic(X3,X1,X4,X5) ),
    inference(rectify,[],[f275]) ).

fof(f275,plain,
    ! [X3,X5,X4,X2,X1,X0] :
      ( cong(X2,X5,X3,X4)
      | ~ cyclic(X2,X5,X1,X4)
      | ~ eqangle(X1,X2,X1,X5,X0,X3,X0,X4)
      | ~ cyclic(X2,X5,X1,X3)
      | ~ cyclic(X2,X5,X1,X0) ),
    inference(flattening,[],[f274]) ).

fof(f274,plain,
    ! [X4,X0,X1,X5,X2,X3] :
      ( cong(X2,X5,X3,X4)
      | ~ eqangle(X1,X2,X1,X5,X0,X3,X0,X4)
      | ~ cyclic(X2,X5,X1,X4)
      | ~ cyclic(X2,X5,X1,X3)
      | ~ cyclic(X2,X5,X1,X0) ),
    inference(ennf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X4,X0,X1,X5,X2,X3] :
      ( ( eqangle(X1,X2,X1,X5,X0,X3,X0,X4)
        & cyclic(X2,X5,X1,X4)
        & cyclic(X2,X5,X1,X3)
        & cyclic(X2,X5,X1,X0) )
     => cong(X2,X5,X3,X4) ),
    inference(rectify,[],[f44]) ).

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

fof(f1431,plain,
    ! [X16,X15] :
      ( perp(sK17,sK17,X15,X16)
      | ~ cong(sK17,X15,sK17,X15) ),
    inference(resolution,[],[f1422,f556]) ).

fof(f556,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X1,X2,X3,X2)
      | ~ cong(X1,X0,X3,X0)
      | perp(X1,X3,X0,X2) ),
    inference(cnf_transformation,[],[f437]) ).

fof(f437,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X1,X3,X0,X2)
      | ~ cong(X1,X2,X3,X2)
      | ~ cong(X1,X0,X3,X0) ),
    inference(rectify,[],[f300]) ).

fof(f300,plain,
    ! [X2,X0,X1,X3] :
      ( perp(X0,X3,X2,X1)
      | ~ cong(X0,X1,X3,X1)
      | ~ cong(X0,X2,X3,X2) ),
    inference(flattening,[],[f299]) ).

fof(f299,plain,
    ! [X3,X1,X2,X0] :
      ( perp(X0,X3,X2,X1)
      | ~ cong(X0,X2,X3,X2)
      | ~ cong(X0,X1,X3,X1) ),
    inference(ennf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X3,X1,X2,X0] :
      ( ( cong(X0,X2,X3,X2)
        & cong(X0,X1,X3,X1) )
     => perp(X0,X3,X2,X1) ),
    inference(rectify,[],[f57]) ).

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

fof(f1589,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,sK17,sK17)
      | para(X0,X1,X2,X3) ),
    inference(resolution,[],[f1447,f527]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO648+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13  % 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 : n006.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 21:58:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.51  % (5443)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)
% 0.19/0.52  % (5440)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)
% 1.28/0.53  % (5448)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.28/0.54  % (5467)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)
% 1.49/0.54  % (5454)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)
% 1.49/0.54  % (5464)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.49/0.54  % (5448)Instruction limit reached!
% 1.49/0.54  % (5448)------------------------------
% 1.49/0.54  % (5448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55  % (5448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55  % (5448)Termination reason: Unknown
% 1.49/0.55  % (5448)Termination phase: Preprocessing 2
% 1.49/0.55  
% 1.49/0.55  % (5448)Memory used [KB]: 1151
% 1.49/0.55  % (5448)Time elapsed: 0.004 s
% 1.49/0.55  % (5448)Instructions burned: 3 (million)
% 1.49/0.55  % (5448)------------------------------
% 1.49/0.55  % (5448)------------------------------
% 1.49/0.56  TRYING [1]
% 1.49/0.56  % (5444)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.56  TRYING [2]
% 1.49/0.57  % (5442)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)
% 1.49/0.57  % (5441)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)
% 1.49/0.57  % (5459)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)
% 1.49/0.57  % (5451)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)
% 1.49/0.57  % (5445)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)
% 1.49/0.58  % (5446)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)
% 1.49/0.58  % (5441)Refutation not found, incomplete strategy% (5441)------------------------------
% 1.49/0.58  % (5441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58  % (5457)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.58  % (5469)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)
% 1.49/0.58  % (5449)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)
% 1.49/0.59  % (5465)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.49/0.59  % (5466)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)
% 1.49/0.59  % (5463)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)
% 1.49/0.59  % (5460)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)
% 1.49/0.59  % (5441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.59  % (5441)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.59  
% 1.49/0.59  % (5441)Memory used [KB]: 5884
% 1.49/0.59  % (5441)Time elapsed: 0.159 s
% 1.49/0.59  % (5441)Instructions burned: 13 (million)
% 1.49/0.59  % (5441)------------------------------
% 1.49/0.59  % (5441)------------------------------
% 1.49/0.60  % (5461)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.49/0.60  % (5455)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)
% 1.49/0.60  % (5468)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.49/0.60  % (5456)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)
% 1.49/0.60  % (5458)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.61  % (5452)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.49/0.61  % (5447)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.61  TRYING [1]
% 1.49/0.61  TRYING [1]
% 1.49/0.61  % (5450)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.49/0.61  TRYING [2]
% 1.49/0.61  TRYING [2]
% 1.49/0.61  % (5453)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.61  % (5462)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)
% 1.49/0.63  % (5447)Instruction limit reached!
% 1.49/0.63  % (5447)------------------------------
% 1.49/0.63  % (5447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.63  % (5447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.63  % (5447)Termination reason: Unknown
% 1.49/0.63  % (5447)Termination phase: Saturation
% 1.49/0.63  
% 1.49/0.63  % (5447)Memory used [KB]: 5756
% 1.49/0.63  % (5447)Time elapsed: 0.007 s
% 1.49/0.63  % (5447)Instructions burned: 7 (million)
% 1.49/0.63  % (5447)------------------------------
% 1.49/0.63  % (5447)------------------------------
% 2.22/0.64  % (5443)Instruction limit reached!
% 2.22/0.64  % (5443)------------------------------
% 2.22/0.64  % (5443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.64  % (5443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.64  % (5443)Termination reason: Unknown
% 2.22/0.64  % (5443)Termination phase: Saturation
% 2.22/0.64  
% 2.22/0.64  % (5443)Memory used [KB]: 6396
% 2.22/0.64  % (5443)Time elapsed: 0.241 s
% 2.22/0.64  % (5443)Instructions burned: 52 (million)
% 2.22/0.64  % (5443)------------------------------
% 2.22/0.64  % (5443)------------------------------
% 2.22/0.67  % (5446)Instruction limit reached!
% 2.22/0.67  % (5446)------------------------------
% 2.22/0.67  % (5446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.67  % (5446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.67  % (5446)Termination reason: Unknown
% 2.22/0.67  % (5446)Termination phase: Finite model building constraint generation
% 2.22/0.67  
% 2.22/0.67  % (5446)Memory used [KB]: 8827
% 2.22/0.67  % (5446)Time elapsed: 0.209 s
% 2.22/0.67  % (5446)Instructions burned: 51 (million)
% 2.22/0.67  % (5446)------------------------------
% 2.22/0.67  % (5446)------------------------------
% 2.22/0.67  % (5457)Instruction limit reached!
% 2.22/0.67  % (5457)------------------------------
% 2.22/0.67  % (5457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.67  % (5457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.67  % (5457)Termination reason: Unknown
% 2.22/0.67  % (5457)Termination phase: Finite model building SAT solving
% 2.22/0.67  
% 2.22/0.67  % (5457)Memory used [KB]: 9210
% 2.22/0.67  % (5457)Time elapsed: 0.231 s
% 2.22/0.67  % (5457)Instructions burned: 59 (million)
% 2.22/0.67  % (5457)------------------------------
% 2.22/0.67  % (5457)------------------------------
% 2.22/0.67  % (5442)Instruction limit reached!
% 2.22/0.67  % (5442)------------------------------
% 2.22/0.67  % (5442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.67  % (5442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.67  % (5442)Termination reason: Unknown
% 2.22/0.67  % (5442)Termination phase: Saturation
% 2.22/0.67  
% 2.22/0.67  % (5442)Memory used [KB]: 1663
% 2.22/0.67  % (5442)Time elapsed: 0.223 s
% 2.22/0.67  % (5442)Instructions burned: 37 (million)
% 2.22/0.67  % (5442)------------------------------
% 2.22/0.67  % (5442)------------------------------
% 2.22/0.68  % (5449)Instruction limit reached!
% 2.22/0.68  % (5449)------------------------------
% 2.22/0.68  % (5449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.68  % (5449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68  % (5449)Termination reason: Unknown
% 2.22/0.68  % (5449)Termination phase: Saturation
% 2.22/0.68  
% 2.22/0.68  % (5449)Memory used [KB]: 1918
% 2.22/0.68  % (5449)Time elapsed: 0.261 s
% 2.22/0.68  % (5449)Instructions burned: 51 (million)
% 2.22/0.68  % (5449)------------------------------
% 2.22/0.68  % (5449)------------------------------
% 2.22/0.68  % (5445)Instruction limit reached!
% 2.22/0.68  % (5445)------------------------------
% 2.22/0.68  % (5445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.68  % (5445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68  % (5445)Termination reason: Unknown
% 2.22/0.68  % (5445)Termination phase: Saturation
% 2.22/0.68  
% 2.22/0.68  % (5445)Memory used [KB]: 6012
% 2.22/0.68  % (5445)Time elapsed: 0.272 s
% 2.22/0.68  % (5445)Instructions burned: 48 (million)
% 2.22/0.68  % (5445)------------------------------
% 2.22/0.68  % (5445)------------------------------
% 2.22/0.70  % (5467)First to succeed.
% 2.67/0.70  % (5444)Instruction limit reached!
% 2.67/0.70  % (5444)------------------------------
% 2.67/0.70  % (5444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.70  % (5467)Refutation found. Thanks to Tanya!
% 2.67/0.70  % SZS status Theorem for theBenchmark
% 2.67/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.67/0.70  % (5467)------------------------------
% 2.67/0.70  % (5467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.70  % (5467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.70  % (5467)Termination reason: Refutation
% 2.67/0.70  
% 2.67/0.70  % (5467)Memory used [KB]: 1918
% 2.67/0.70  % (5467)Time elapsed: 0.284 s
% 2.67/0.70  % (5467)Instructions burned: 51 (million)
% 2.67/0.70  % (5467)------------------------------
% 2.67/0.70  % (5467)------------------------------
% 2.67/0.70  % (5439)Success in time 0.35 s
%------------------------------------------------------------------------------