TSTP Solution File: GEO589+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO589+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 : n022.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 16:13:09 EDT 2022

% Result   : Theorem 2.19s 0.66s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   87 (  14 unt;   0 def)
%            Number of atoms       :  249 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  248 (  86   ~;  80   |;  58   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   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(f1942,plain,
    $false,
    inference(resolution,[],[f1862,f479]) ).

fof(f479,plain,
    ~ para(sK6,sK0,sK1,sK3),
    inference(cnf_transformation,[],[f346]) ).

fof(f346,plain,
    ( coll(sK0,sK4,sK7)
    & ~ para(sK6,sK0,sK1,sK3)
    & perp(sK1,sK3,sK6,sK4)
    & circle(sK7,sK4,sK0,sK5)
    & circle(sK7,sK1,sK4,sK2)
    & circle(sK7,sK1,sK6,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f344,f345]) ).

fof(f345,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( coll(X0,X4,X7)
        & ~ para(X6,X0,X1,X3)
        & perp(X1,X3,X6,X4)
        & circle(X7,X4,X0,X5)
        & circle(X7,X1,X4,X2)
        & circle(X7,X1,X6,X3) )
   => ( coll(sK0,sK4,sK7)
      & ~ para(sK6,sK0,sK1,sK3)
      & perp(sK1,sK3,sK6,sK4)
      & circle(sK7,sK4,sK0,sK5)
      & circle(sK7,sK1,sK4,sK2)
      & circle(sK7,sK1,sK6,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( coll(X0,X4,X7)
      & ~ para(X6,X0,X1,X3)
      & perp(X1,X3,X6,X4)
      & circle(X7,X4,X0,X5)
      & circle(X7,X1,X4,X2)
      & circle(X7,X1,X6,X3) ),
    inference(rectify,[],[f208]) ).

fof(f208,plain,
    ? [X6,X1,X3,X2,X4,X5,X7,X0] :
      ( coll(X6,X4,X0)
      & ~ para(X7,X6,X1,X2)
      & perp(X1,X2,X7,X4)
      & circle(X0,X4,X6,X5)
      & circle(X0,X1,X4,X3)
      & circle(X0,X1,X7,X2) ),
    inference(flattening,[],[f207]) ).

fof(f207,plain,
    ? [X2,X6,X7,X3,X0,X1,X5,X4] :
      ( ~ para(X7,X6,X1,X2)
      & circle(X0,X1,X4,X3)
      & coll(X6,X4,X0)
      & perp(X1,X2,X7,X4)
      & circle(X0,X1,X7,X2)
      & circle(X0,X4,X6,X5) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f160,plain,
    ~ ! [X2,X6,X7,X3,X0,X1,X5,X4] :
        ( ( circle(X0,X1,X4,X3)
          & coll(X6,X4,X0)
          & perp(X1,X2,X7,X4)
          & circle(X0,X1,X7,X2)
          & circle(X0,X4,X6,X5) )
       => para(X7,X6,X1,X2) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X7,X0,X2,X18,X3,X19,X4,X1] :
        ( ( circle(X7,X3,X4,X19)
          & circle(X7,X0,X3,X18)
          & coll(X4,X3,X7)
          & circle(X7,X0,X1,X2)
          & perp(X0,X2,X1,X3) )
       => para(X1,X4,X0,X2) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X7,X0,X2,X18,X3,X19,X4,X1] :
      ( ( circle(X7,X3,X4,X19)
        & circle(X7,X0,X3,X18)
        & coll(X4,X3,X7)
        & circle(X7,X0,X1,X2)
        & perp(X0,X2,X1,X3) )
     => para(X1,X4,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416051) ).

fof(f1862,plain,
    ! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
    inference(subsumption_resolution,[],[f1853,f1854]) ).

fof(f1854,plain,
    ! [X4,X5] : perp(X4,X5,sK4,sK4),
    inference(resolution,[],[f1712,f528]) ).

fof(f528,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X2,X3,X0,X1)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f400]) ).

fof(f400,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X2,X3,X0,X1)
      | perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f222]) ).

fof(f222,plain,
    ! [X0,X3,X1,X2] :
      ( ~ perp(X1,X2,X0,X3)
      | perp(X0,X3,X1,X2) ),
    inference(ennf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X2,X0,X1,X3] :
      ( perp(X1,X2,X0,X3)
     => perp(X0,X3,X1,X2) ),
    inference(rectify,[],[f8]) ).

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

fof(f1712,plain,
    ! [X16,X15] : perp(sK4,sK4,X16,X15),
    inference(subsumption_resolution,[],[f1690,f1683]) ).

fof(f1683,plain,
    ! [X0] : cong(sK4,X0,sK4,X0),
    inference(subsumption_resolution,[],[f1682,f1212]) ).

fof(f1212,plain,
    ! [X10,X9] : cyclic(sK4,X9,sK6,X10),
    inference(resolution,[],[f1192,f569]) ).

fof(f569,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X2,X0,X3,X1)
      | cyclic(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f442]) ).

fof(f442,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X2,X3,X0,X1)
      | ~ cyclic(X2,X0,X3,X1) ),
    inference(rectify,[],[f289]) ).

fof(f289,plain,
    ! [X2,X0,X3,X1] :
      ( cyclic(X3,X1,X2,X0)
      | ~ cyclic(X3,X2,X1,X0) ),
    inference(ennf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X2,X0,X3,X1] :
      ( cyclic(X3,X2,X1,X0)
     => cyclic(X3,X1,X2,X0) ),
    inference(rectify,[],[f15]) ).

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

fof(f1192,plain,
    ! [X2,X3] : cyclic(sK4,sK6,X2,X3),
    inference(subsumption_resolution,[],[f1187,f1183]) ).

fof(f1183,plain,
    ! [X12] : cyclic(sK4,sK4,sK6,X12),
    inference(subsumption_resolution,[],[f1179,f1180]) ).

fof(f1180,plain,
    ! [X13] :
      ( coll(sK6,X13,sK4)
      | cyclic(sK4,sK4,sK6,X13) ),
    inference(resolution,[],[f1144,f488]) ).

fof(f488,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X1,X0,X1,X3,X2,X0,X2,X3)
      | cyclic(X0,X3,X1,X2)
      | coll(X1,X2,X0) ),
    inference(cnf_transformation,[],[f356]) ).

fof(f356,plain,
    ! [X0,X1,X2,X3] :
      ( ~ eqangle(X1,X0,X1,X3,X2,X0,X2,X3)
      | cyclic(X0,X3,X1,X2)
      | coll(X1,X2,X0) ),
    inference(rectify,[],[f234]) ).

fof(f234,plain,
    ! [X3,X1,X2,X0] :
      ( ~ eqangle(X1,X3,X1,X0,X2,X3,X2,X0)
      | cyclic(X3,X0,X1,X2)
      | coll(X1,X2,X3) ),
    inference(flattening,[],[f233]) ).

fof(f233,plain,
    ! [X0,X2,X1,X3] :
      ( cyclic(X3,X0,X1,X2)
      | coll(X1,X2,X3)
      | ~ eqangle(X1,X3,X1,X0,X2,X3,X2,X0) ),
    inference(ennf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X2,X1,X3] :
      ( ( ~ coll(X1,X2,X3)
        & eqangle(X1,X3,X1,X0,X2,X3,X2,X0) )
     => cyclic(X3,X0,X1,X2) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X1,X8,X9,X0] :
      ( ( ~ 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(f1144,plain,
    ! [X4,X5] : eqangle(sK6,sK4,sK6,sK4,X4,X5,X4,X5),
    inference(resolution,[],[f781,f564]) ).

fof(f564,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X7,X4,X6,X0,X3,X1,X2,X5)
      | eqangle(X7,X4,X3,X1,X6,X0,X2,X5) ),
    inference(cnf_transformation,[],[f437]) ).

fof(f437,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X7,X4,X3,X1,X6,X0,X2,X5)
      | ~ eqangle(X7,X4,X6,X0,X3,X1,X2,X5) ),
    inference(rectify,[],[f237]) ).

fof(f237,plain,
    ! [X4,X1,X6,X7,X5,X0,X3,X2] :
      ( eqangle(X2,X5,X7,X1,X3,X4,X6,X0)
      | ~ eqangle(X2,X5,X3,X4,X7,X1,X6,X0) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X1,X5,X4,X3,X7,X0,X2,X6] :
      ( eqangle(X2,X5,X3,X4,X7,X1,X6,X0)
     => eqangle(X2,X5,X7,X1,X3,X4,X6,X0) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X11,X9,X0,X2,X3,X1,X10,X8] :
      ( 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(f781,plain,
    ! [X4,X5] : eqangle(sK6,sK4,X4,X5,sK6,sK4,X4,X5),
    inference(resolution,[],[f776,f525]) ).

fof(f525,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X5,X1,X2,X4)
      | eqangle(X5,X1,X3,X0,X2,X4,X3,X0) ),
    inference(cnf_transformation,[],[f398]) ).

fof(f398,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X5,X1,X2,X4)
      | eqangle(X5,X1,X3,X0,X2,X4,X3,X0) ),
    inference(rectify,[],[f323]) ).

fof(f323,plain,
    ! [X0,X1,X4,X5,X3,X2] :
      ( ~ para(X2,X1,X4,X3)
      | eqangle(X2,X1,X5,X0,X4,X3,X5,X0) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X4,X3,X1,X5,X2,X0] :
      ( para(X2,X1,X4,X3)
     => eqangle(X2,X1,X5,X0,X4,X3,X5,X0) ),
    inference(rectify,[],[f40]) ).

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

fof(f776,plain,
    para(sK6,sK4,sK6,sK4),
    inference(resolution,[],[f692,f602]) ).

fof(f602,plain,
    perp(sK6,sK4,sK1,sK3),
    inference(resolution,[],[f528,f478]) ).

fof(f478,plain,
    perp(sK1,sK3,sK6,sK4),
    inference(cnf_transformation,[],[f346]) ).

fof(f692,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK1,sK3)
      | para(X0,X1,sK6,sK4) ),
    inference(resolution,[],[f536,f478]) ).

fof(f536,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X4,X5,X0)
      | ~ perp(X3,X1,X2,X4)
      | para(X3,X1,X5,X0) ),
    inference(cnf_transformation,[],[f408]) ).

fof(f408,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X4,X5,X0)
      | ~ perp(X3,X1,X2,X4)
      | para(X3,X1,X5,X0) ),
    inference(rectify,[],[f241]) ).

fof(f241,plain,
    ! [X4,X2,X5,X0,X3,X1] :
      ( ~ perp(X5,X3,X1,X4)
      | ~ perp(X0,X2,X5,X3)
      | para(X0,X2,X1,X4) ),
    inference(flattening,[],[f240]) ).

fof(f240,plain,
    ! [X0,X4,X1,X5,X2,X3] :
      ( para(X0,X2,X1,X4)
      | ~ perp(X0,X2,X5,X3)
      | ~ perp(X5,X3,X1,X4) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X4,X1,X5,X2,X3] :
      ( ( perp(X0,X2,X5,X3)
        & perp(X5,X3,X1,X4) )
     => para(X0,X2,X1,X4) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X4,X1,X3,X5,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(f1179,plain,
    ! [X12] :
      ( ~ coll(sK6,X12,sK4)
      | cyclic(sK4,sK4,sK6,X12) ),
    inference(resolution,[],[f1144,f565]) ).

fof(f565,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X3,X0,X3,X2,X1,X0,X1,X2)
      | cyclic(X0,X2,X3,X1)
      | ~ coll(X3,X1,X2) ),
    inference(cnf_transformation,[],[f438]) ).

fof(f438,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X3,X1,X2)
      | ~ eqangle(X3,X0,X3,X2,X1,X0,X1,X2)
      | cyclic(X0,X2,X3,X1) ),
    inference(rectify,[],[f253]) ).

fof(f253,plain,
    ! [X2,X3,X1,X0] :
      ( ~ coll(X0,X3,X1)
      | ~ eqangle(X0,X2,X0,X1,X3,X2,X3,X1)
      | cyclic(X2,X1,X0,X3) ),
    inference(flattening,[],[f252]) ).

fof(f252,plain,
    ! [X3,X0,X1,X2] :
      ( cyclic(X2,X1,X0,X3)
      | ~ eqangle(X0,X2,X0,X1,X3,X2,X3,X1)
      | ~ coll(X0,X3,X1) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X3,X0,X1,X2] :
      ( ( eqangle(X0,X2,X0,X1,X3,X2,X3,X1)
        & coll(X0,X3,X1) )
     => cyclic(X2,X1,X0,X3) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X8,X1,X0,X9] :
      ( ( 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(f1187,plain,
    ! [X2,X3] :
      ( cyclic(sK4,sK6,X2,X3)
      | ~ cyclic(sK4,sK4,sK6,X2) ),
    inference(resolution,[],[f1183,f519]) ).

fof(f519,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X3,X1,X4)
      | cyclic(X3,X1,X2,X4)
      | ~ cyclic(X0,X3,X1,X2) ),
    inference(cnf_transformation,[],[f391]) ).

fof(f391,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ cyclic(X0,X3,X1,X2)
      | cyclic(X3,X1,X2,X4)
      | ~ cyclic(X0,X3,X1,X4) ),
    inference(rectify,[],[f288]) ).

fof(f288,plain,
    ! [X0,X3,X2,X4,X1] :
      ( ~ cyclic(X0,X4,X3,X2)
      | cyclic(X4,X3,X2,X1)
      | ~ cyclic(X0,X4,X3,X1) ),
    inference(flattening,[],[f287]) ).

fof(f287,plain,
    ! [X0,X1,X2,X4,X3] :
      ( cyclic(X4,X3,X2,X1)
      | ~ cyclic(X0,X4,X3,X2)
      | ~ cyclic(X0,X4,X3,X1) ),
    inference(ennf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1,X2,X4,X3] :
      ( ( cyclic(X0,X4,X3,X2)
        & cyclic(X0,X4,X3,X1) )
     => cyclic(X4,X3,X2,X1) ),
    inference(rectify,[],[f17]) ).

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

fof(f1682,plain,
    ! [X0] :
      ( cong(sK4,X0,sK4,X0)
      | ~ cyclic(sK4,X0,sK6,X0) ),
    inference(subsumption_resolution,[],[f1681,f1212]) ).

fof(f1681,plain,
    ! [X0] :
      ( cong(sK4,X0,sK4,X0)
      | ~ cyclic(sK4,X0,sK6,sK4)
      | ~ cyclic(sK4,X0,sK6,X0) ),
    inference(subsumption_resolution,[],[f1672,f1212]) ).

fof(f1672,plain,
    ! [X0] :
      ( ~ cyclic(sK4,X0,sK6,sK6)
      | cong(sK4,X0,sK4,X0)
      | ~ cyclic(sK4,X0,sK6,X0)
      | ~ cyclic(sK4,X0,sK6,sK4) ),
    inference(resolution,[],[f567,f781]) ).

fof(f567,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X5,X3,X5,X4,X1,X0,X1,X2)
      | ~ cyclic(X3,X4,X5,X0)
      | ~ cyclic(X3,X4,X5,X1)
      | ~ cyclic(X3,X4,X5,X2)
      | cong(X3,X4,X0,X2) ),
    inference(cnf_transformation,[],[f440]) ).

fof(f440,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ eqangle(X5,X3,X5,X4,X1,X0,X1,X2)
      | ~ cyclic(X3,X4,X5,X1)
      | ~ cyclic(X3,X4,X5,X2)
      | cong(X3,X4,X0,X2)
      | ~ cyclic(X3,X4,X5,X0) ),
    inference(rectify,[],[f247]) ).

fof(f247,plain,
    ! [X4,X5,X1,X3,X0,X2] :
      ( ~ eqangle(X2,X3,X2,X0,X5,X4,X5,X1)
      | ~ cyclic(X3,X0,X2,X5)
      | ~ cyclic(X3,X0,X2,X1)
      | cong(X3,X0,X4,X1)
      | ~ cyclic(X3,X0,X2,X4) ),
    inference(flattening,[],[f246]) ).

fof(f246,plain,
    ! [X2,X3,X5,X4,X1,X0] :
      ( cong(X3,X0,X4,X1)
      | ~ cyclic(X3,X0,X2,X4)
      | ~ eqangle(X2,X3,X2,X0,X5,X4,X5,X1)
      | ~ cyclic(X3,X0,X2,X5)
      | ~ cyclic(X3,X0,X2,X1) ),
    inference(ennf_transformation,[],[f172]) ).

fof(f172,plain,
    ! [X2,X3,X5,X4,X1,X0] :
      ( ( cyclic(X3,X0,X2,X4)
        & eqangle(X2,X3,X2,X0,X5,X4,X5,X1)
        & cyclic(X3,X0,X2,X5)
        & cyclic(X3,X0,X2,X1) )
     => cong(X3,X0,X4,X1) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X1,X9,X2,X0,X8,X14] :
      ( ( 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(f1690,plain,
    ! [X16,X15] :
      ( ~ cong(sK4,X15,sK4,X15)
      | perp(sK4,sK4,X16,X15) ),
    inference(resolution,[],[f1683,f499]) ).

fof(f499,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X1,X3,X0,X3)
      | ~ cong(X1,X2,X0,X2)
      | perp(X1,X0,X3,X2) ),
    inference(cnf_transformation,[],[f369]) ).

fof(f369,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X1,X0,X3,X2)
      | ~ cong(X1,X3,X0,X3)
      | ~ cong(X1,X2,X0,X2) ),
    inference(rectify,[],[f259]) ).

fof(f259,plain,
    ! [X3,X1,X2,X0] :
      ( perp(X1,X3,X0,X2)
      | ~ cong(X1,X0,X3,X0)
      | ~ cong(X1,X2,X3,X2) ),
    inference(flattening,[],[f258]) ).

fof(f258,plain,
    ! [X0,X1,X3,X2] :
      ( perp(X1,X3,X0,X2)
      | ~ cong(X1,X2,X3,X2)
      | ~ cong(X1,X0,X3,X0) ),
    inference(ennf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0,X1,X3,X2] :
      ( ( cong(X1,X2,X3,X2)
        & cong(X1,X0,X3,X0) )
     => perp(X1,X3,X0,X2) ),
    inference(rectify,[],[f57]) ).

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

fof(f1853,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X2,X3)
      | ~ perp(X0,X1,sK4,sK4) ),
    inference(resolution,[],[f1712,f536]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem    : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 21:58:56 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (26400)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)
% 0.20/0.50  % (26392)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)
% 0.20/0.51  % (26381)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)
% 0.20/0.51  % (26382)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (26383)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)
% 0.20/0.51  % (26384)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)
% 0.20/0.52  % (26391)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (26378)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)
% 0.20/0.52  % (26403)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (26404)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)
% 0.20/0.52  % (26379)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)
% 0.20/0.52  % (26385)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (26380)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)
% 0.20/0.53  % (26385)Instruction limit reached!
% 0.20/0.53  % (26385)------------------------------
% 0.20/0.53  % (26385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (26385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (26385)Termination reason: Unknown
% 0.20/0.53  % (26385)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (26385)Memory used [KB]: 5756
% 0.20/0.53  % (26385)Time elapsed: 0.005 s
% 0.20/0.53  % (26385)Instructions burned: 7 (million)
% 0.20/0.53  % (26385)------------------------------
% 0.20/0.53  % (26385)------------------------------
% 0.20/0.53  % (26405)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)
% 0.20/0.53  % (26402)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (26388)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (26407)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)
% 0.20/0.53  % (26398)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)
% 0.20/0.53  % (26396)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (26395)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53  % (26406)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  % (26399)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (26394)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)
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (26393)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)
% 0.20/0.54  % (26401)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)
% 0.20/0.54  % (26387)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)
% 0.20/0.54  % (26397)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)
% 0.20/0.54  % (26386)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (26386)Instruction limit reached!
% 0.20/0.54  % (26386)------------------------------
% 0.20/0.54  % (26386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (26386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (26386)Termination reason: Unknown
% 0.20/0.54  % (26386)Termination phase: Preprocessing 1
% 0.20/0.54  
% 0.20/0.54  % (26386)Memory used [KB]: 1023
% 0.20/0.54  % (26386)Time elapsed: 0.002 s
% 0.20/0.54  % (26386)Instructions burned: 2 (million)
% 0.20/0.54  % (26386)------------------------------
% 0.20/0.54  % (26386)------------------------------
% 0.20/0.54  % (26390)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (26389)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)
% 0.20/0.54  % (26379)Refutation not found, incomplete strategy% (26379)------------------------------
% 0.20/0.54  % (26379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (26379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (26379)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (26379)Memory used [KB]: 5884
% 0.20/0.54  % (26379)Time elapsed: 0.146 s
% 0.20/0.54  % (26379)Instructions burned: 13 (million)
% 0.20/0.54  % (26379)------------------------------
% 0.20/0.54  % (26379)------------------------------
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [2]
% 1.75/0.58  % (26380)Instruction limit reached!
% 1.75/0.58  % (26380)------------------------------
% 1.75/0.58  % (26380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58  % (26380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.58  % (26380)Termination reason: Unknown
% 1.75/0.58  % (26380)Termination phase: Saturation
% 1.75/0.58  
% 1.75/0.58  % (26380)Memory used [KB]: 1663
% 1.75/0.58  % (26380)Time elapsed: 0.179 s
% 1.75/0.58  % (26380)Instructions burned: 38 (million)
% 1.75/0.58  % (26380)------------------------------
% 1.75/0.58  % (26380)------------------------------
% 1.75/0.58  % (26384)Instruction limit reached!
% 1.75/0.58  % (26384)------------------------------
% 1.75/0.58  % (26384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (26384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (26384)Termination reason: Unknown
% 1.75/0.59  % (26384)Termination phase: Finite model building constraint generation
% 1.75/0.59  
% 1.75/0.59  % (26384)Memory used [KB]: 8955
% 1.75/0.59  % (26384)Time elapsed: 0.108 s
% 1.75/0.59  % (26384)Instructions burned: 51 (million)
% 1.75/0.59  % (26384)------------------------------
% 1.75/0.59  % (26384)------------------------------
% 1.75/0.60  % (26383)Instruction limit reached!
% 1.75/0.60  % (26383)------------------------------
% 1.75/0.60  % (26383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (26383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.60  % (26383)Termination reason: Unknown
% 1.90/0.60  % (26383)Termination phase: Saturation
% 1.90/0.60  
% 1.90/0.60  % (26383)Memory used [KB]: 6012
% 1.90/0.60  % (26383)Time elapsed: 0.198 s
% 1.90/0.60  % (26383)Instructions burned: 49 (million)
% 1.90/0.60  % (26383)------------------------------
% 1.90/0.60  % (26383)------------------------------
% 1.90/0.60  % (26381)Instruction limit reached!
% 1.90/0.60  % (26381)------------------------------
% 1.90/0.60  % (26381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.60  % (26381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.60  % (26381)Termination reason: Unknown
% 1.90/0.60  % (26381)Termination phase: Saturation
% 1.90/0.60  
% 1.90/0.60  % (26381)Memory used [KB]: 6396
% 1.90/0.60  % (26381)Time elapsed: 0.194 s
% 1.90/0.60  % (26381)Instructions burned: 51 (million)
% 1.90/0.60  % (26381)------------------------------
% 1.90/0.60  % (26381)------------------------------
% 1.90/0.60  % (26388)Instruction limit reached!
% 1.90/0.60  % (26388)------------------------------
% 1.90/0.60  % (26388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.60  % (26388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.60  % (26388)Termination reason: Unknown
% 1.90/0.60  % (26388)Termination phase: Saturation
% 1.90/0.60  
% 1.90/0.60  % (26388)Memory used [KB]: 6396
% 1.90/0.60  % (26388)Time elapsed: 0.210 s
% 1.90/0.60  % (26388)Instructions burned: 50 (million)
% 1.90/0.60  % (26388)------------------------------
% 1.90/0.60  % (26388)------------------------------
% 1.90/0.61  % (26392)Instruction limit reached!
% 1.90/0.61  % (26392)------------------------------
% 1.90/0.61  % (26392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.61  % (26392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.61  % (26392)Termination reason: Unknown
% 1.90/0.61  % (26392)Termination phase: Saturation
% 1.90/0.61  
% 1.90/0.61  % (26392)Memory used [KB]: 6908
% 1.90/0.61  % (26392)Time elapsed: 0.055 s
% 1.90/0.61  % (26392)Instructions burned: 68 (million)
% 1.90/0.61  % (26392)------------------------------
% 1.90/0.61  % (26392)------------------------------
% 1.90/0.61  % (26395)Instruction limit reached!
% 1.90/0.61  % (26395)------------------------------
% 1.90/0.61  % (26395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.61  % (26395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.61  % (26395)Termination reason: Unknown
% 1.90/0.61  % (26395)Termination phase: Finite model building SAT solving
% 1.90/0.61  
% 1.90/0.61  % (26395)Memory used [KB]: 9210
% 1.90/0.61  % (26395)Time elapsed: 0.182 s
% 1.90/0.61  % (26395)Instructions burned: 61 (million)
% 1.90/0.61  % (26395)------------------------------
% 1.90/0.61  % (26395)------------------------------
% 1.90/0.62  % (26382)Instruction limit reached!
% 1.90/0.62  % (26382)------------------------------
% 1.90/0.62  % (26382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.63  % (26382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.63  % (26382)Termination reason: Unknown
% 1.90/0.63  % (26382)Termination phase: Saturation
% 1.90/0.63  
% 1.90/0.63  % (26382)Memory used [KB]: 6780
% 1.90/0.63  % (26382)Time elapsed: 0.228 s
% 1.90/0.63  % (26382)Instructions burned: 51 (million)
% 1.90/0.63  % (26382)------------------------------
% 1.90/0.63  % (26382)------------------------------
% 2.19/0.64  % (26387)Instruction limit reached!
% 2.19/0.64  % (26387)------------------------------
% 2.19/0.64  % (26387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.64  % (26387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.64  % (26387)Termination reason: Unknown
% 2.19/0.64  % (26387)Termination phase: Saturation
% 2.19/0.64  
% 2.19/0.64  % (26387)Memory used [KB]: 1918
% 2.19/0.64  % (26387)Time elapsed: 0.239 s
% 2.19/0.64  % (26387)Instructions burned: 51 (million)
% 2.19/0.64  % (26387)------------------------------
% 2.19/0.64  % (26387)------------------------------
% 2.19/0.65  % (26393)First to succeed.
% 2.19/0.66  % (26393)Refutation found. Thanks to Tanya!
% 2.19/0.66  % SZS status Theorem for theBenchmark
% 2.19/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.66  % (26393)------------------------------
% 2.19/0.66  % (26393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.66  % (26393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.66  % (26393)Termination reason: Refutation
% 2.19/0.66  
% 2.19/0.66  % (26393)Memory used [KB]: 1791
% 2.19/0.66  % (26393)Time elapsed: 0.249 s
% 2.19/0.66  % (26393)Instructions burned: 49 (million)
% 2.19/0.66  % (26393)------------------------------
% 2.19/0.66  % (26393)------------------------------
% 2.19/0.66  % (26377)Success in time 0.299 s
%------------------------------------------------------------------------------