TSTP Solution File: GEO604+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO604+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 30 23:12:02 EDT 2023

% Result   : Theorem 20.60s 3.70s
% Output   : CNFRefutation 20.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  200 (  31 unt;   0 def)
%            Number of atoms       :  538 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  568 ( 230   ~; 221   |;  80   &)
%                                         (   0 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-5 aty)
%            Number of variables   :  604 (   0 sgn; 425   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X3)
        & coll(X0,X1,X2) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).

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(f12,axiom,
    ! [X0,X1,X2,X7] :
      ( ( cong(X7,X0,X7,X2)
        & cong(X7,X0,X7,X1) )
     => circle(X7,X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).

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(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(f54,axiom,
    ! [X0,X1,X2,X7] :
      ( ( coll(X7,X0,X2)
        & circle(X7,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).

fof(f56,axiom,
    ! [X0,X1,X6,X7] :
      ( ( perp(X7,X6,X0,X1)
        & midp(X6,X0,X1) )
     => cong(X7,X0,X7,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).

fof(f64,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( midp(X6,X2,X3)
        & midp(X6,X0,X1) )
     => para(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X6,X0,X1) )
     => midp(X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).

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(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).

fof(f91,axiom,
    ! [X0,X1,X2,X4,X5] :
    ? [X8] :
      ( ( coll(X1,X4,X5)
        & perp(X0,X2,X2,X1) )
     => ( perp(X8,X0,X4,X5)
        & coll(X8,X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX15) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X12] :
      ( ( midp(X12,X2,X1)
        & midp(X5,X0,X4)
        & coll(X4,X2,X3)
        & perp(X1,X2,X0,X4)
        & coll(X3,X0,X1)
        & perp(X3,X2,X0,X1) )
     => perp(X3,X12,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618066) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X12] :
        ( ( midp(X12,X2,X1)
          & midp(X5,X0,X4)
          & coll(X4,X2,X3)
          & perp(X1,X2,X0,X4)
          & coll(X3,X0,X1)
          & perp(X3,X2,X0,X1) )
       => perp(X3,X12,X3,X5) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X3,X0,X3,X2)
        & cong(X3,X0,X3,X1) )
     => circle(X3,X0,X1,X2) ),
    inference(rectify,[],[f12]) ).

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(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(f133,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X3,X0,X2)
        & circle(X3,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    inference(rectify,[],[f54]) ).

fof(f134,plain,
    ! [X0,X1,X2,X3] :
      ( ( perp(X3,X2,X0,X1)
        & midp(X2,X0,X1) )
     => cong(X3,X0,X3,X1) ),
    inference(rectify,[],[f56]) ).

fof(f142,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X2,X3)
        & midp(X4,X0,X1) )
     => para(X0,X2,X1,X3) ),
    inference(rectify,[],[f64]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X4,X0,X1) )
     => midp(X4,X2,X3) ),
    inference(rectify,[],[f65]) ).

fof(f163,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( coll(X1,X3,X4)
        & perp(X0,X2,X2,X1) )
     => ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) ) ),
    inference(rectify,[],[f91]) ).

fof(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( midp(X6,X2,X1)
          & midp(X5,X0,X4)
          & coll(X4,X2,X3)
          & perp(X1,X2,X0,X4)
          & coll(X3,X0,X1)
          & perp(X3,X2,X0,X1) )
       => perp(X3,X6,X3,X5) ),
    inference(rectify,[],[f96]) ).

fof(f168,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f169,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f170,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f170]) ).

fof(f172,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f173,plain,
    ! [X0,X1,X2,X3] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f176,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f177,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

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(ennf_transformation,[],[f9]) ).

fof(f179,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f178]) ).

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(ennf_transformation,[],[f10]) ).

fof(f181,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f180]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f184,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(flattening,[],[f183]) ).

fof(f219,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(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(ennf_transformation,[],[f122]) ).

fof(f224,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,[],[f223]) ).

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(ennf_transformation,[],[f123]) ).

fof(f226,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,[],[f225]) ).

fof(f227,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f228,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f227]) ).

fof(f244,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f133]) ).

fof(f245,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f244]) ).

fof(f248,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(ennf_transformation,[],[f134]) ).

fof(f249,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(flattening,[],[f248]) ).

fof(f261,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f142]) ).

fof(f262,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f261]) ).

fof(f263,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f264,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f263]) ).

fof(f268,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f269,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(flattening,[],[f268]) ).

fof(f270,plain,
    ! [X0,X1,X2] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f271,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f311,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) )
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f312,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) )
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(flattening,[],[f311]) ).

fof(f319,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ perp(X3,X6,X3,X5)
      & midp(X6,X2,X1)
      & midp(X5,X0,X4)
      & coll(X4,X2,X3)
      & perp(X1,X2,X0,X4)
      & coll(X3,X0,X1)
      & perp(X3,X2,X0,X1) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f320,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ perp(X3,X6,X3,X5)
      & midp(X6,X2,X1)
      & midp(X5,X0,X4)
      & coll(X4,X2,X3)
      & perp(X1,X2,X0,X4)
      & coll(X3,X0,X1)
      & perp(X3,X2,X0,X1) ),
    inference(flattening,[],[f319]) ).

fof(f350,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5] :
          ( ( perp(X5,X0,X3,X4)
            & coll(X5,X3,X4) )
          | ~ coll(X1,X3,X4)
          | ~ perp(X0,X2,X2,X1) )
     => ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
          & coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
        | ~ coll(X1,X3,X4)
        | ~ perp(X0,X2,X2,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f351,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
        & coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).

fof(f358,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6] :
        ( ~ perp(X3,X6,X3,X5)
        & midp(X6,X2,X1)
        & midp(X5,X0,X4)
        & coll(X4,X2,X3)
        & perp(X1,X2,X0,X4)
        & coll(X3,X0,X1)
        & perp(X3,X2,X0,X1) )
   => ( ~ perp(sK23,sK26,sK23,sK25)
      & midp(sK26,sK22,sK21)
      & midp(sK25,sK20,sK24)
      & coll(sK24,sK22,sK23)
      & perp(sK21,sK22,sK20,sK24)
      & coll(sK23,sK20,sK21)
      & perp(sK23,sK22,sK20,sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f359,plain,
    ( ~ perp(sK23,sK26,sK23,sK25)
    & midp(sK26,sK22,sK21)
    & midp(sK25,sK20,sK24)
    & coll(sK24,sK22,sK23)
    & perp(sK21,sK22,sK20,sK24)
    & coll(sK23,sK20,sK21)
    & perp(sK23,sK22,sK20,sK21) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26])],[f320,f358]) ).

fof(f360,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f361,plain,
    ! [X2,X0,X1] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f362,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f363,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f364,plain,
    ! [X2,X3,X0,X1] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f173]) ).

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

fof(f367,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f368,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,[],[f179]) ).

fof(f369,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,[],[f181]) ).

fof(f371,plain,
    ! [X2,X3,X0,X1] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f399,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f402,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,[],[f224]) ).

fof(f403,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,[],[f226]) ).

fof(f404,plain,
    ! [X2,X3,X0,X1,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f413,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f415,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f423,plain,
    ! [X2,X3,X0,X1,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f424,plain,
    ! [X2,X3,X0,X1,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f427,plain,
    ! [X2,X0,X1] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f269]) ).

fof(f428,plain,
    ! [X2,X0,X1] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f270]) ).

fof(f429,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f467,plain,
    ! [X2,X3,X0,X1,X4] :
      ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f473,plain,
    perp(sK23,sK22,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f475,plain,
    perp(sK21,sK22,sK20,sK24),
    inference(cnf_transformation,[],[f359]) ).

fof(f476,plain,
    coll(sK24,sK22,sK23),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    midp(sK25,sK20,sK24),
    inference(cnf_transformation,[],[f359]) ).

fof(f478,plain,
    midp(sK26,sK22,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f479,plain,
    ~ perp(sK23,sK26,sK23,sK25),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_49,plain,
    ( ~ coll(X0,X1,X2)
    | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f360]) ).

cnf(c_50,plain,
    ( ~ coll(X0,X1,X2)
    | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f361]) ).

cnf(c_51,plain,
    ( ~ coll(X0,X1,X2)
    | ~ coll(X0,X1,X3)
    | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f362]) ).

cnf(c_52,plain,
    ( ~ para(X0,X1,X2,X3)
    | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f363]) ).

cnf(c_53,plain,
    ( ~ para(X0,X1,X2,X3)
    | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f364]) ).

cnf(c_55,plain,
    ( ~ perp(X0,X1,X2,X3)
    | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f366]) ).

cnf(c_56,plain,
    ( ~ perp(X0,X1,X2,X3)
    | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f367]) ).

cnf(c_57,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,X5)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f368]) ).

cnf(c_58,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,X5)
    | perp(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f369]) ).

cnf(c_60,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ cong(X0,X1,X0,X3)
    | circle(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f371]) ).

cnf(c_88,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    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,[],[f402]) ).

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,[],[f403]) ).

cnf(c_93,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(X3,X1,X4)
    | para(X0,X3,X2,X4) ),
    inference(cnf_transformation,[],[f404]) ).

cnf(c_102,plain,
    ( ~ circle(X0,X1,X2,X3)
    | ~ coll(X0,X1,X3)
    | perp(X1,X2,X2,X3) ),
    inference(cnf_transformation,[],[f413]) ).

cnf(c_104,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ midp(X1,X2,X3)
    | cong(X0,X2,X0,X3) ),
    inference(cnf_transformation,[],[f415]) ).

cnf(c_112,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(X0,X3,X4)
    | para(X1,X3,X2,X4) ),
    inference(cnf_transformation,[],[f423]) ).

cnf(c_113,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ para(X0,X3,X2,X1)
    | ~ midp(X4,X0,X2)
    | midp(X4,X1,X3) ),
    inference(cnf_transformation,[],[f424]) ).

cnf(c_116,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ coll(X0,X1,X2)
    | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f427]) ).

cnf(c_117,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f428]) ).

cnf(c_118,plain,
    ( ~ midp(X0,X1,X2)
    | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f429]) ).

cnf(c_155,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ coll(X2,X3,X4)
    | perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
    inference(cnf_transformation,[],[f467]) ).

cnf(c_162,negated_conjecture,
    ~ perp(sK23,sK26,sK23,sK25),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_163,negated_conjecture,
    midp(sK26,sK22,sK21),
    inference(cnf_transformation,[],[f478]) ).

cnf(c_164,negated_conjecture,
    midp(sK25,sK20,sK24),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_165,negated_conjecture,
    coll(sK24,sK22,sK23),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_166,negated_conjecture,
    perp(sK21,sK22,sK20,sK24),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_168,negated_conjecture,
    perp(sK23,sK22,sK20,sK21),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_174,plain,
    ( ~ cong(sK23,sK23,sK23,sK23)
    | ~ coll(sK23,sK23,sK23)
    | midp(sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_5804,plain,
    coll(sK25,sK20,sK24),
    inference(superposition,[status(thm)],[c_164,c_118]) ).

cnf(c_5851,plain,
    perp(sK21,sK22,sK24,sK20),
    inference(superposition,[status(thm)],[c_166,c_55]) ).

cnf(c_5852,plain,
    perp(sK23,sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_168,c_55]) ).

cnf(c_5881,plain,
    ( ~ coll(sK24,sK22,X0)
    | coll(sK23,X0,sK24) ),
    inference(superposition,[status(thm)],[c_165,c_51]) ).

cnf(c_5977,plain,
    perp(sK20,sK24,sK21,sK22),
    inference(superposition,[status(thm)],[c_166,c_56]) ).

cnf(c_5978,plain,
    perp(sK20,sK21,sK23,sK22),
    inference(superposition,[status(thm)],[c_168,c_56]) ).

cnf(c_5994,plain,
    perp(sK20,sK24,sK22,sK21),
    inference(superposition,[status(thm)],[c_5977,c_55]) ).

cnf(c_6005,plain,
    coll(sK23,sK23,sK24),
    inference(superposition,[status(thm)],[c_165,c_5881]) ).

cnf(c_6008,plain,
    coll(sK23,sK24,sK23),
    inference(superposition,[status(thm)],[c_6005,c_49]) ).

cnf(c_6023,plain,
    ( ~ coll(sK23,sK24,X0)
    | coll(sK23,X0,sK23) ),
    inference(superposition,[status(thm)],[c_6008,c_51]) ).

cnf(c_6024,plain,
    coll(sK24,sK23,sK23),
    inference(superposition,[status(thm)],[c_6008,c_50]) ).

cnf(c_6028,plain,
    ( ~ coll(sK23,sK24,sK23)
    | coll(sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_6023]) ).

cnf(c_6210,plain,
    ( ~ midp(sK25,sK20,sK24)
    | cong(sK25,sK20,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_6376,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK26,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_163,c_93]) ).

cnf(c_6377,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK25,X0,sK24,X1) ),
    inference(superposition,[status(thm)],[c_164,c_93]) ).

cnf(c_6411,plain,
    ( ~ midp(sK25,X0,X1)
    | para(sK20,X0,sK24,X1) ),
    inference(superposition,[status(thm)],[c_164,c_112]) ).

cnf(c_6617,plain,
    ( ~ midp(sK22,sK20,sK24)
    | cong(sK21,sK20,sK21,sK24) ),
    inference(superposition,[status(thm)],[c_166,c_104]) ).

cnf(c_6905,plain,
    ( ~ perp(sK20,sK24,X0,X1)
    | para(sK21,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_166,c_57]) ).

cnf(c_6906,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK23,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_168,c_57]) ).

cnf(c_6910,plain,
    ( ~ perp(sK23,sK22,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_5978,c_57]) ).

cnf(c_6989,plain,
    ( ~ perp(sK21,X0,X1,X2)
    | ~ midp(X3,sK22,X0)
    | perp(sK26,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6376,c_58]) ).

cnf(c_6990,plain,
    ( ~ perp(sK24,X0,X1,X2)
    | ~ midp(X3,sK20,X0)
    | perp(sK25,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6377,c_58]) ).

cnf(c_6992,plain,
    ( ~ perp(sK24,X0,X1,X2)
    | ~ midp(sK25,X3,X0)
    | perp(sK20,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6411,c_58]) ).

cnf(c_7060,plain,
    ( ~ cong(sK21,sK20,sK21,X0)
    | ~ midp(sK22,sK20,sK24)
    | circle(sK21,sK20,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6617,c_60]) ).

cnf(c_7101,plain,
    para(sK21,sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_5994,c_6905]) ).

cnf(c_7126,plain,
    para(sK23,sK22,sK23,sK22),
    inference(superposition,[status(thm)],[c_5978,c_6906]) ).

cnf(c_7135,plain,
    para(sK22,sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_7101,c_53]) ).

cnf(c_7199,plain,
    ( ~ cong(sK25,sK20,sK25,X0)
    | ~ cong(sK25,sK20,sK25,sK24)
    | circle(sK25,sK20,X0,sK24) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_7752,plain,
    para(sK20,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_5852,c_6910]) ).

cnf(c_7762,plain,
    para(sK21,sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_7752,c_53]) ).

cnf(c_8040,plain,
    ( ~ midp(X0,sK22,sK22)
    | perp(sK26,X0,sK24,sK20) ),
    inference(superposition,[status(thm)],[c_5851,c_6989]) ).

cnf(c_8089,plain,
    ( ~ midp(X0,sK22,sK22)
    | perp(sK24,sK20,sK26,X0) ),
    inference(superposition,[status(thm)],[c_8040,c_56]) ).

cnf(c_8362,plain,
    ( ~ para(X0,X1,X0,X1)
    | ~ coll(X0,X0,X2)
    | cyclic(X1,X2,X0,X0) ),
    inference(superposition,[status(thm)],[c_88,c_91]) ).

cnf(c_8375,plain,
    ( ~ para(sK23,sK23,sK23,sK23)
    | ~ coll(sK23,sK23,sK23)
    | cyclic(sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_8362]) ).

cnf(c_9523,plain,
    ( ~ midp(sK22,sK20,sK24)
    | circle(sK21,sK20,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_6617,c_7060]) ).

cnf(c_9539,plain,
    ( ~ coll(sK21,sK20,sK24)
    | ~ midp(sK22,sK20,sK24)
    | perp(sK20,sK24,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_9523,c_102]) ).

cnf(c_10211,plain,
    ( ~ para(sK23,sK22,sK23,sK22)
    | ~ midp(X0,sK23,sK23)
    | midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_7126,c_113]) ).

cnf(c_10233,plain,
    ( ~ midp(X0,sK23,sK23)
    | midp(X0,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10211,c_7126]) ).

cnf(c_10311,plain,
    ( ~ midp(sK23,sK23,sK23)
    | midp(sK23,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_10233]) ).

cnf(c_16238,plain,
    ( ~ cong(sK25,sK20,sK25,sK24)
    | circle(sK25,sK20,sK24,sK24) ),
    inference(instantiation,[status(thm)],[c_7199]) ).

cnf(c_17985,plain,
    ( ~ para(X0,X1,X0,X2)
    | ~ cyclic(X1,X3,X0,X0)
    | ~ cyclic(X1,X3,X0,X2)
    | ~ cyclic(X1,X3,X0,X3)
    | cong(X1,X3,X2,X3) ),
    inference(superposition,[status(thm)],[c_88,c_92]) ).

cnf(c_18042,plain,
    ( ~ para(sK23,sK23,sK23,sK23)
    | ~ cyclic(sK23,sK23,sK23,sK23)
    | cong(sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_17985]) ).

cnf(c_23766,plain,
    ( ~ perp(sK23,sK26,sK25,sK23)
    | perp(sK23,sK26,sK23,sK25) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_24314,plain,
    ( ~ circle(X0,sK20,X1,sK24)
    | ~ coll(X0,sK20,sK24)
    | perp(sK20,X1,X1,sK24) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_24438,plain,
    para(sK22,sK21,sK22,sK21),
    inference(superposition,[status(thm)],[c_7135,c_52]) ).

cnf(c_24554,plain,
    para(sK21,sK20,sK21,sK20),
    inference(superposition,[status(thm)],[c_7762,c_52]) ).

cnf(c_30033,plain,
    ( ~ midp(X0,sK22,sK22)
    | ~ midp(X1,sK20,sK20)
    | perp(sK25,X1,sK26,X0) ),
    inference(superposition,[status(thm)],[c_8089,c_6990]) ).

cnf(c_30049,plain,
    ( ~ midp(sK23,sK22,sK22)
    | ~ midp(sK23,sK20,sK20)
    | perp(sK25,sK23,sK26,sK23) ),
    inference(instantiation,[status(thm)],[c_30033]) ).

cnf(c_33423,plain,
    ( ~ para(sK22,sK21,sK22,sK21)
    | ~ midp(X0,sK22,sK22)
    | midp(X0,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_24438,c_113]) ).

cnf(c_33433,plain,
    ( ~ midp(X0,sK22,sK22)
    | midp(X0,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_33423,c_24438]) ).

cnf(c_33436,plain,
    ( ~ midp(sK23,sK22,sK22)
    | midp(sK23,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_33433]) ).

cnf(c_33476,plain,
    ( ~ para(sK21,sK20,sK21,sK20)
    | ~ midp(X0,sK21,sK21)
    | midp(X0,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_24554,c_113]) ).

cnf(c_33492,plain,
    ( ~ midp(X0,sK21,sK21)
    | midp(X0,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_33476,c_24554]) ).

cnf(c_33495,plain,
    ( ~ midp(sK23,sK21,sK21)
    | midp(sK23,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_33492]) ).

cnf(c_49834,plain,
    ( ~ perp(sK25,sK23,sK23,sK26)
    | perp(sK23,sK26,sK25,sK23) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_62870,plain,
    ( ~ circle(sK25,sK20,sK24,sK24)
    | ~ coll(sK25,sK20,sK24)
    | perp(sK20,sK24,sK24,sK24) ),
    inference(instantiation,[status(thm)],[c_24314]) ).

cnf(c_86089,plain,
    perp(sK20,sK24,sK24,sK24),
    inference(global_subsumption_just,[status(thm)],[c_9539,c_164,c_5804,c_6210,c_16238,c_62870]) ).

cnf(c_86093,plain,
    perp(sK24,sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_86089,c_56]) ).

cnf(c_86133,plain,
    ( ~ midp(sK25,X0,sK24)
    | perp(sK20,X0,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_86093,c_6992]) ).

cnf(c_86616,plain,
    ( ~ coll(sK24,X0,X1)
    | ~ midp(sK25,sK20,sK24)
    | perp(sK16(sK20,sK24,sK20,X0,X1),sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_86133,c_155]) ).

cnf(c_86655,plain,
    ( ~ coll(sK24,X0,X1)
    | perp(sK16(sK20,sK24,sK20,X0,X1),sK20,X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_86616,c_164]) ).

cnf(c_86664,plain,
    ( ~ coll(sK24,sK23,sK23)
    | perp(sK16(sK20,sK24,sK20,sK23,sK23),sK20,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_86655]) ).

cnf(c_87038,plain,
    ( ~ coll(sK24,X0,X1)
    | perp(X0,X1,sK16(sK20,sK24,sK20,X0,X1),sK20) ),
    inference(superposition,[status(thm)],[c_86655,c_56]) ).

cnf(c_89883,plain,
    ( ~ perp(sK16(sK20,sK24,sK20,X0,X1),sK20,X2,X3)
    | ~ coll(sK24,X0,X1)
    | para(X0,X1,X2,X3) ),
    inference(superposition,[status(thm)],[c_87038,c_57]) ).

cnf(c_89964,plain,
    ( ~ perp(sK16(sK20,sK24,sK20,sK23,sK23),sK20,sK23,sK23)
    | ~ coll(sK24,sK23,sK23)
    | para(sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_89883]) ).

cnf(c_92129,plain,
    ( ~ perp(sK25,sK23,sK26,sK23)
    | perp(sK25,sK23,sK23,sK26) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_92130,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_92129,c_89964,c_86664,c_49834,c_33495,c_33436,c_30049,c_23766,c_18042,c_10311,c_8375,c_6028,c_6024,c_6008,c_174,c_162]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO604+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 21:20:41 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.60/3.70  % SZS status Started for theBenchmark.p
% 20.60/3.70  % SZS status Theorem for theBenchmark.p
% 20.60/3.70  
% 20.60/3.70  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.60/3.70  
% 20.60/3.70  ------  iProver source info
% 20.60/3.70  
% 20.60/3.70  git: date: 2023-05-31 18:12:56 +0000
% 20.60/3.70  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.60/3.70  git: non_committed_changes: false
% 20.60/3.70  git: last_make_outside_of_git: false
% 20.60/3.70  
% 20.60/3.70  ------ Parsing...
% 20.60/3.70  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 20.60/3.70  
% 20.60/3.70  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 20.60/3.70  
% 20.60/3.70  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 20.60/3.70  
% 20.60/3.70  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 20.60/3.70  ------ Proving...
% 20.60/3.70  ------ Problem Properties 
% 20.60/3.70  
% 20.60/3.70  
% 20.60/3.70  clauses                                 119
% 20.60/3.70  conjectures                             7
% 20.60/3.70  EPR                                     82
% 20.60/3.70  Horn                                    109
% 20.60/3.70  unary                                   7
% 20.60/3.70  binary                                  37
% 20.60/3.70  lits                                    335
% 20.60/3.70  lits eq                                 4
% 20.60/3.70  fd_pure                                 0
% 20.60/3.70  fd_pseudo                               0
% 20.60/3.70  fd_cond                                 0
% 20.60/3.70  fd_pseudo_cond                          4
% 20.60/3.70  AC symbols                              0
% 20.60/3.70  
% 20.60/3.70  ------ Schedule dynamic 5 is on 
% 20.60/3.70  
% 20.60/3.70  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.60/3.70  
% 20.60/3.70  
% 20.60/3.70  ------ 
% 20.60/3.70  Current options:
% 20.60/3.70  ------ 
% 20.60/3.70  
% 20.60/3.70  
% 20.60/3.70  
% 20.60/3.70  
% 20.60/3.70  ------ Proving...
% 20.60/3.70  
% 20.60/3.70  
% 20.60/3.70  % SZS status Theorem for theBenchmark.p
% 20.60/3.70  
% 20.60/3.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.60/3.70  
% 20.60/3.70  
%------------------------------------------------------------------------------