TSTP Solution File: GEO607+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 : Fri May  3 02:18:01 EDT 2024

% Result   : Theorem 61.03s 9.16s
% Output   : CNFRefutation 61.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  188 (   5 unt;   0 def)
%            Number of atoms       :  485 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  517 ( 220   ~; 212   |;  47   &)
%                                         (   0 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  722 (   0 sgn 504   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).

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

fof(f9,axiom,
    ! [X0,X1,X2,X3,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(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => perp(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).

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

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).

fof(f20,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD20) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,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(f40,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).

fof(f41,axiom,
    ! [X0,X1,X8,X9] :
      ( cyclic(X0,X1,X8,X9)
     => eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).

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

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

fof(f45,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( midp(X5,X0,X2)
        & midp(X4,X0,X1) )
     => para(X4,X5,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).

fof(f53,axiom,
    ! [X0,X1,X2,X6] :
      ( ( midp(X6,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X6,X1,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).

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

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( coll(X0,X1,X2)
        & cong(X0,X1,X0,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).

fof(f74,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( para(X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD73) ).

fof(f75,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( perp(X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD74) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( circle(X5,X1,X3,X2)
        & circle(X4,X0,X2,X3)
        & perp(X3,X0,X3,X1)
        & midp(X2,X1,X0) )
     => perp(X4,X3,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( circle(X5,X1,X3,X2)
          & circle(X4,X0,X2,X3)
          & perp(X3,X0,X3,X1)
          & midp(X2,X1,X0) )
       => perp(X4,X3,X3,X5) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(rectify,[],[f18]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(rectify,[],[f19]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(rectify,[],[f20]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(rectify,[],[f21]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(rectify,[],[f40]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(rectify,[],[f41]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X2,X3,X1)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f43]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        & cyclic(X0,X1,X2,X5)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cong(X0,X1,X3,X4) ),
    inference(rectify,[],[f44]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X2)
        & midp(X3,X0,X1) )
     => para(X3,X4,X1,X2) ),
    inference(rectify,[],[f45]) ).

fof(f132,plain,
    ! [X0,X1,X2,X3] :
      ( ( midp(X3,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X3,X1,X3) ),
    inference(rectify,[],[f53]) ).

fof(f135,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f57]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( para(X4,X5,X6,X7)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => para(X0,X1,X2,X3) ),
    inference(rectify,[],[f74]) ).

fof(f147,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( perp(X4,X5,X6,X7)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f75]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f176,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f177,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f178,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f177]) ).

fof(f179,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f180,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f179]) ).

fof(f186,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f191,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f193,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f218,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f219,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f222,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f122]) ).

fof(f223,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(flattening,[],[f222]) ).

fof(f224,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f225,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f224]) ).

fof(f226,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f227,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f226]) ).

fof(f241,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(ennf_transformation,[],[f132]) ).

fof(f242,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(flattening,[],[f241]) ).

fof(f249,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f135]) ).

fof(f250,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f249]) ).

fof(f266,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f267,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f268,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(flattening,[],[f267]) ).

fof(f277,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f146]) ).

fof(f278,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f277]) ).

fof(f279,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f280,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f279]) ).

fof(f318,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X4,X3,X3,X5)
      & circle(X5,X1,X3,X2)
      & circle(X4,X0,X2,X3)
      & perp(X3,X0,X3,X1)
      & midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f319,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X4,X3,X3,X5)
      & circle(X5,X1,X3,X2)
      & circle(X4,X0,X2,X3)
      & perp(X3,X0,X3,X1)
      & midp(X2,X1,X0) ),
    inference(flattening,[],[f318]) ).

fof(f357,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ perp(X4,X3,X3,X5)
        & circle(X5,X1,X3,X2)
        & circle(X4,X0,X2,X3)
        & perp(X3,X0,X3,X1)
        & midp(X2,X1,X0) )
   => ( ~ perp(sK24,sK23,sK23,sK25)
      & circle(sK25,sK21,sK23,sK22)
      & circle(sK24,sK20,sK22,sK23)
      & perp(sK23,sK20,sK23,sK21)
      & midp(sK22,sK21,sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f358,plain,
    ( ~ perp(sK24,sK23,sK23,sK25)
    & circle(sK25,sK21,sK23,sK22)
    & circle(sK24,sK20,sK22,sK23)
    & perp(sK23,sK20,sK23,sK21)
    & midp(sK22,sK21,sK20) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25])],[f319,f357]) ).

fof(f365,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f366,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f367,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f368,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f372,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f373,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f374,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f376,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f377,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f378,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f379,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f398,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f399,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f401,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f223]) ).

fof(f402,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f225]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f411,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f415,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f250]) ).

fof(f425,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f266]) ).

fof(f426,plain,
    ! [X2,X0,X1] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f432,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f433,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f472,plain,
    midp(sK22,sK21,sK20),
    inference(cnf_transformation,[],[f358]) ).

fof(f476,plain,
    ~ perp(sK24,sK23,sK23,sK25),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_55,plain,
    ( ~ perp(X0,X1,X2,X3)
    | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f365]) ).

cnf(c_56,plain,
    ( ~ perp(X0,X1,X2,X3)
    | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f366]) ).

cnf(c_57,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,X5)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f367]) ).

cnf(c_58,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,X5)
    | perp(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f368]) ).

cnf(c_62,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f372]) ).

cnf(c_63,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f373]) ).

cnf(c_64,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f374]) ).

cnf(c_66,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f376]) ).

cnf(c_67,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f377]) ).

cnf(c_68,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f378]) ).

cnf(c_69,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f379]) ).

cnf(c_88,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f398]) ).

cnf(c_89,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f399]) ).

cnf(c_91,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ coll(X0,X3,X2)
    | cyclic(X1,X2,X0,X3) ),
    inference(cnf_transformation,[],[f401]) ).

cnf(c_92,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
    | ~ cyclic(X1,X2,X0,X3)
    | ~ cyclic(X1,X2,X0,X4)
    | ~ cyclic(X1,X2,X0,X5)
    | cong(X1,X2,X4,X5) ),
    inference(cnf_transformation,[],[f402]) ).

cnf(c_93,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(X3,X1,X4)
    | para(X0,X3,X2,X4) ),
    inference(cnf_transformation,[],[f403]) ).

cnf(c_101,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ midp(X3,X0,X2)
    | cong(X0,X3,X1,X3) ),
    inference(cnf_transformation,[],[f411]) ).

cnf(c_105,plain,
    ( ~ cong(X0,X1,X2,X1)
    | ~ cong(X0,X3,X2,X3)
    | perp(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f415]) ).

cnf(c_115,plain,
    ( ~ para(X0,X1,X0,X2)
    | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f425]) ).

cnf(c_116,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ coll(X0,X1,X2)
    | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f426]) ).

cnf(c_122,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ para(X4,X5,X6,X7)
    | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f432]) ).

cnf(c_123,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ perp(X4,X5,X6,X7)
    | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f433]) ).

cnf(c_162,negated_conjecture,
    ~ perp(sK24,sK23,sK23,sK25),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_166,negated_conjecture,
    midp(sK22,sK21,sK20),
    inference(cnf_transformation,[],[f472]) ).

cnf(c_169,plain,
    ( ~ para(sK23,sK23,sK23,sK23)
    | coll(sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_172,plain,
    ( ~ cong(sK23,sK23,sK23,sK23)
    | ~ coll(sK23,sK23,sK23)
    | midp(sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_176,plain,
    ( ~ para(sK23,sK23,sK23,sK23)
    | eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_181,plain,
    ( ~ cong(sK23,sK23,sK23,sK23)
    | perp(sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_197,plain,
    ( ~ eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23)
    | ~ coll(sK23,sK23,sK23)
    | cyclic(sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_230,plain,
    ( ~ eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23)
    | ~ cyclic(sK23,sK23,sK23,sK23)
    | cong(sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_273,plain,
    ( ~ midp(X0,sK21,X1)
    | ~ midp(sK22,sK21,sK20)
    | para(X0,sK22,X1,sK20) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_666,plain,
    ( ~ midp(sK22,sK21,sK20)
    | para(sK22,sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_273]) ).

cnf(c_802,plain,
    ( ~ para(sK22,sK22,sK20,sK20)
    | eqangle(sK22,sK22,X0,X1,sK20,sK20,X0,X1) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_807,plain,
    ( ~ para(sK22,sK22,sK20,sK20)
    | eqangle(sK22,sK22,sK23,sK23,sK20,sK20,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_802]) ).

cnf(c_812,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK22,sK22,sK20,sK20)
    | ~ para(sK22,sK22,sK20,sK20)
    | para(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_122]) ).

cnf(c_813,plain,
    ( ~ eqangle(sK23,sK23,sK23,sK23,sK22,sK22,sK20,sK20)
    | ~ para(sK22,sK22,sK20,sK20)
    | para(sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_812]) ).

cnf(c_4181,plain,
    ( ~ eqangle(sK22,sK22,X0,X1,sK20,sK20,X0,X1)
    | eqangle(sK22,sK22,sK20,sK20,X0,X1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_4189,plain,
    ( ~ eqangle(sK22,sK22,sK23,sK23,sK20,sK20,sK23,sK23)
    | eqangle(sK22,sK22,sK20,sK20,sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_4181]) ).

cnf(c_8891,plain,
    ( ~ perp(sK23,sK25,sK24,sK23)
    | perp(sK24,sK23,sK23,sK25) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_15599,plain,
    ( ~ perp(sK23,sK25,sK23,sK24)
    | perp(sK23,sK25,sK24,sK23) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_18085,plain,
    ( ~ eqangle(sK22,sK22,sK20,sK20,X0,X1,X2,X3)
    | eqangle(X0,X1,X2,X3,sK22,sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_18086,plain,
    ( ~ eqangle(sK22,sK22,sK20,sK20,sK23,sK23,sK23,sK23)
    | eqangle(sK23,sK23,sK23,sK23,sK22,sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_18085]) ).

cnf(c_18198,plain,
    ( ~ para(sK23,sK25,X0,X1)
    | ~ perp(X0,X1,sK23,sK24)
    | perp(sK23,sK25,sK23,sK24) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_18199,plain,
    ( ~ para(sK23,sK25,sK23,sK23)
    | ~ perp(sK23,sK23,sK23,sK24)
    | perp(sK23,sK25,sK23,sK24) ),
    inference(instantiation,[status(thm)],[c_18198]) ).

cnf(c_18236,plain,
    ( ~ perp(sK23,sK25,sK25,X0)
    | ~ midp(sK23,sK23,X0)
    | cong(sK23,sK23,sK25,sK23) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_18237,plain,
    ( ~ perp(sK23,sK25,sK25,sK23)
    | ~ midp(sK23,sK23,sK23)
    | cong(sK23,sK23,sK25,sK23) ),
    inference(instantiation,[status(thm)],[c_18236]) ).

cnf(c_23299,plain,
    ( ~ cong(sK23,X0,sK25,X0)
    | ~ cong(sK23,X1,sK25,X1)
    | perp(sK23,sK25,X0,X1) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_23300,plain,
    ( ~ cong(sK23,sK23,sK25,sK23)
    | perp(sK23,sK25,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_23299]) ).

cnf(c_27912,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X0,X1,sK23,sK25,X2,X3,sK23,sK25) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_27913,plain,
    ( ~ para(sK23,sK23,sK23,sK23)
    | eqangle(sK23,sK23,sK23,sK25,sK23,sK23,sK23,sK25) ),
    inference(instantiation,[status(thm)],[c_27912]) ).

cnf(c_28101,plain,
    ( ~ eqangle(X0,sK25,sK25,X1,X2,X3,X4,X5)
    | ~ perp(X2,X3,X4,X5)
    | perp(X0,sK25,sK25,X1) ),
    inference(instantiation,[status(thm)],[c_123]) ).

cnf(c_28102,plain,
    ( ~ eqangle(sK23,sK25,sK25,sK23,sK23,sK23,sK23,sK23)
    | ~ perp(sK23,sK23,sK23,sK23)
    | perp(sK23,sK25,sK25,sK23) ),
    inference(instantiation,[status(thm)],[c_28101]) ).

cnf(c_28146,plain,
    ( ~ perp(sK24,X0,X1,sK24)
    | perp(X1,sK24,sK24,X0) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_28147,plain,
    ( ~ perp(sK24,sK23,sK23,sK24)
    | perp(sK23,sK24,sK24,sK23) ),
    inference(instantiation,[status(thm)],[c_28146]) ).

cnf(c_31397,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(sK23,sK25,X0,X1)
    | para(sK23,sK25,X2,X3) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_31398,plain,
    ( ~ perp(sK23,sK23,sK23,sK23)
    | ~ perp(sK23,sK25,sK23,sK23)
    | para(sK23,sK25,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_31397]) ).

cnf(c_31615,plain,
    ( ~ cyclic(X0,sK23,sK25,X1)
    | cyclic(X0,sK23,X1,sK25) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_31616,plain,
    ( ~ cyclic(sK23,sK23,sK25,sK23)
    | cyclic(sK23,sK23,sK23,sK25) ),
    inference(instantiation,[status(thm)],[c_31615]) ).

cnf(c_31860,plain,
    ( ~ eqangle(sK23,sK24,X0,X1,X2,X3,X0,X1)
    | eqangle(sK24,sK23,X0,X1,X2,X3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_31981,plain,
    ( ~ eqangle(sK24,sK23,X0,X1,X2,X3,X4,X5)
    | eqangle(sK24,sK23,X2,X3,X0,X1,X4,X5) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_33294,plain,
    ( ~ cyclic(sK23,sK25,X0,X1)
    | cyclic(sK23,X0,sK25,X1) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_33295,plain,
    ( ~ cyclic(sK23,sK25,sK23,sK23)
    | cyclic(sK23,sK23,sK25,sK23) ),
    inference(instantiation,[status(thm)],[c_33294]) ).

cnf(c_34837,plain,
    ( ~ cyclic(X0,sK23,X1,sK25)
    | eqangle(X1,X0,X1,sK23,sK25,X0,sK25,sK23) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_34838,plain,
    ( ~ cyclic(sK23,sK23,sK23,sK25)
    | eqangle(sK23,sK23,sK23,sK23,sK25,sK23,sK25,sK23) ),
    inference(instantiation,[status(thm)],[c_34837]) ).

cnf(c_36146,plain,
    ( ~ eqangle(sK23,sK24,sK23,X0,sK23,sK24,sK23,X0)
    | eqangle(sK24,sK23,sK23,X0,sK23,sK24,sK23,X0) ),
    inference(instantiation,[status(thm)],[c_31860]) ).

cnf(c_36148,plain,
    ( ~ eqangle(sK23,sK24,sK23,sK23,sK23,sK24,sK23,sK23)
    | eqangle(sK24,sK23,sK23,sK23,sK23,sK24,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_36146]) ).

cnf(c_37508,plain,
    ( ~ cong(X0,X0,sK24,X0)
    | ~ cong(X0,X1,sK24,X1)
    | perp(X0,sK24,X0,X1) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_37509,plain,
    ( ~ cong(sK23,sK23,sK24,sK23)
    | perp(sK23,sK24,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_37508]) ).

cnf(c_37585,plain,
    ( ~ para(X0,X1,X0,X1)
    | eqangle(X0,X1,X0,sK24,X0,X1,X0,sK24) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_37587,plain,
    ( ~ para(sK23,sK23,sK23,sK23)
    | eqangle(sK23,sK23,sK23,sK24,sK23,sK23,sK23,sK24) ),
    inference(instantiation,[status(thm)],[c_37585]) ).

cnf(c_39718,plain,
    ( ~ eqangle(sK23,sK25,sK23,X0,sK23,sK25,sK23,X0)
    | ~ coll(sK23,sK23,X0)
    | cyclic(sK25,X0,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_39719,plain,
    ( ~ eqangle(sK23,sK25,sK23,sK23,sK23,sK25,sK23,sK23)
    | ~ coll(sK23,sK23,sK23)
    | cyclic(sK25,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_39718]) ).

cnf(c_40047,plain,
    ( ~ perp(X0,sK24,sK24,X1)
    | ~ midp(sK23,X0,X1)
    | cong(X0,sK23,sK24,sK23) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_40048,plain,
    ( ~ perp(sK23,sK24,sK24,sK23)
    | ~ midp(sK23,sK23,sK23)
    | cong(sK23,sK23,sK24,sK23) ),
    inference(instantiation,[status(thm)],[c_40047]) ).

cnf(c_40154,plain,
    ( ~ cyclic(sK25,sK23,X0,X1)
    | cyclic(sK23,sK25,X0,X1) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_40155,plain,
    ( ~ cyclic(sK25,sK23,sK23,sK23)
    | cyclic(sK23,sK25,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_40154]) ).

cnf(c_41156,plain,
    ( ~ perp(sK23,sK24,X0,X1)
    | perp(X0,X1,sK23,sK24) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_41157,plain,
    ( ~ perp(sK23,sK24,sK23,sK23)
    | perp(sK23,sK23,sK23,sK24) ),
    inference(instantiation,[status(thm)],[c_41156]) ).

cnf(c_41577,plain,
    ( ~ eqangle(X0,sK23,X0,sK24,sK23,sK23,sK23,sK24)
    | eqangle(X0,sK24,X0,sK23,sK23,sK24,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_41578,plain,
    ( ~ eqangle(sK23,sK23,sK23,sK24,sK23,sK23,sK23,sK24)
    | eqangle(sK23,sK24,sK23,sK23,sK23,sK24,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_41577]) ).

cnf(c_43197,plain,
    ( ~ eqangle(sK25,X0,sK25,X1,X2,X3,X4,X5)
    | eqangle(X0,sK25,sK25,X1,X2,X3,X4,X5) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_43198,plain,
    ( ~ eqangle(sK25,sK23,sK25,sK23,sK23,sK23,sK23,sK23)
    | eqangle(sK23,sK25,sK25,sK23,sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_43197]) ).

cnf(c_43478,plain,
    ( ~ eqangle(sK24,X0,X1,sK24,X2,X3,X4,X5)
    | ~ perp(X2,X3,X4,X5)
    | perp(sK24,X0,X1,sK24) ),
    inference(instantiation,[status(thm)],[c_123]) ).

cnf(c_43479,plain,
    ( ~ eqangle(sK24,sK23,sK23,sK24,sK23,sK23,sK23,sK23)
    | ~ perp(sK23,sK23,sK23,sK23)
    | perp(sK24,sK23,sK23,sK24) ),
    inference(instantiation,[status(thm)],[c_43478]) ).

cnf(c_43714,plain,
    ( ~ eqangle(sK24,sK23,sK23,X0,sK23,sK24,sK23,X0)
    | eqangle(sK24,sK23,sK23,sK24,sK23,X0,sK23,X0) ),
    inference(instantiation,[status(thm)],[c_31981]) ).

cnf(c_43719,plain,
    ( ~ eqangle(sK24,sK23,sK23,sK23,sK23,sK24,sK23,sK23)
    | eqangle(sK24,sK23,sK23,sK24,sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_43714]) ).

cnf(c_47251,plain,
    ( ~ eqangle(X0,sK23,X0,X1,sK25,sK23,sK25,X1)
    | eqangle(sK25,sK23,sK25,X1,X0,sK23,X0,X1) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_47252,plain,
    ( ~ eqangle(sK23,sK23,sK23,sK23,sK25,sK23,sK25,sK23)
    | eqangle(sK25,sK23,sK25,sK23,sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_47251]) ).

cnf(c_47959,plain,
    ( ~ eqangle(X0,X1,X0,sK25,sK23,X1,sK23,sK25)
    | eqangle(X0,sK25,X0,X1,sK23,sK25,sK23,X1) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_47960,plain,
    ( ~ eqangle(sK23,sK23,sK23,sK25,sK23,sK23,sK23,sK25)
    | eqangle(sK23,sK25,sK23,sK23,sK23,sK25,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_47959]) ).

cnf(c_47961,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_47960,c_47252,c_43719,c_43479,c_43198,c_41578,c_41157,c_40155,c_40048,c_39719,c_37587,c_37509,c_36148,c_34838,c_33295,c_31616,c_31398,c_28147,c_28102,c_27913,c_23300,c_18237,c_18199,c_18086,c_15599,c_8891,c_4189,c_813,c_807,c_666,c_230,c_197,c_181,c_176,c_172,c_169,c_162,c_166]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.30  % Computer : n003.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Fri May  3 01:24:50 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 61.03/9.16  % SZS status Started for theBenchmark.p
% 61.03/9.16  % SZS status Theorem for theBenchmark.p
% 61.03/9.16  
% 61.03/9.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 61.03/9.16  
% 61.03/9.16  ------  iProver source info
% 61.03/9.16  
% 61.03/9.16  git: date: 2024-05-02 19:28:25 +0000
% 61.03/9.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 61.03/9.16  git: non_committed_changes: false
% 61.03/9.16  
% 61.03/9.16  ------ Parsing...
% 61.03/9.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 61.03/9.16  
% 61.03/9.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 61.03/9.16  
% 61.03/9.16  ------ Preprocessing...
% 61.03/9.16  
% 61.03/9.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 61.03/9.16  ------ Proving...
% 61.03/9.16  ------ Problem Properties 
% 61.03/9.16  
% 61.03/9.16  
% 61.03/9.16  clauses                                 117
% 61.03/9.16  conjectures                             5
% 61.03/9.16  EPR                                     80
% 61.03/9.16  Horn                                    107
% 61.03/9.16  unary                                   5
% 61.03/9.16  binary                                  37
% 61.03/9.16  lits                                    333
% 61.03/9.16  lits eq                                 4
% 61.03/9.16  fd_pure                                 0
% 61.03/9.16  fd_pseudo                               0
% 61.03/9.16  fd_cond                                 0
% 61.03/9.16  fd_pseudo_cond                          4
% 61.03/9.16  AC symbols                              0
% 61.03/9.16  
% 61.03/9.16  ------ Input Options Time Limit: Unbounded
% 61.03/9.16  
% 61.03/9.16  
% 61.03/9.16  ------ 
% 61.03/9.16  Current options:
% 61.03/9.16  ------ 
% 61.03/9.16  
% 61.03/9.16  
% 61.03/9.16  
% 61.03/9.16  
% 61.03/9.16  ------ Proving...
% 61.03/9.16  
% 61.03/9.16  
% 61.03/9.16  % SZS status Theorem for theBenchmark.p
% 61.03/9.16  
% 61.03/9.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.03/9.17  
% 61.03/9.17  
%------------------------------------------------------------------------------