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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GEO604+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:21:36 PM UTC 2026

% Result   : Theorem 35.63s 8.06s
% Output   : CNFRefutation 35.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  192 (  36 unt;   0 def)
%            Number of atoms       :  481 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  512 ( 223   ~; 217   |;  48   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   :  535 (   0 sgn 518   !;  17   ?; 153   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X3)
        & coll(X0,X1,X2) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',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/sandbox/benchmark/Axioms/GEO012+0.ax',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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

fof(f12,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X3,X0,X3,X2)
        & cong(X3,X0,X3,X1) )
     => circle(X3,X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X2,X3,X1)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(f44,axiom,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(f45,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X2)
        & midp(X3,X0,X1) )
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

fof(f54,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X3,X0,X2)
        & circle(X3,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).

fof(f56,axiom,
    ! [X0,X1,X2,X3] :
      ( ( perp(X3,X2,X0,X1)
        & midp(X2,X0,X1) )
     => cong(X3,X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).

fof(f64,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X2,X3)
        & midp(X4,X0,X1) )
     => para(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X4,X0,X1) )
     => midp(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( coll(X0,X1,X2)
        & cong(X0,X1,X0,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

fof(f91,axiom,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( coll(X1,X3,X4)
        & perp(X0,X2,X2,X1) )
     => ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).

fof(f95,conjecture,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618066) ).

fof(f96,negated_conjecture,
    ~ ! [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(negated_conjecture,[status(cth)],[f95]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(flattening,[],[f100]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f106,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f109,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(flattening,[],[f108]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | perp(X0,X1,X4,X5) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | perp(X0,X1,X4,X5) ),
    inference(flattening,[],[f110]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1)
      | circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1)
      | circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f113]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f153]) ).

fof(f155,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(ennf_transformation,[],[f44]) ).

fof(f156,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(flattening,[],[f155]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | para(X3,X4,X1,X2) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f158,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | para(X3,X4,X1,X2) ),
    inference(flattening,[],[f157]) ).

fof(f174,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2)
      | perp(X0,X1,X1,X2) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2)
      | perp(X0,X1,X1,X2) ),
    inference(flattening,[],[f174]) ).

fof(f178,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1)
      | cong(X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f56]) ).

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

fof(f191,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(flattening,[],[f191]) ).

fof(f193,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(ennf_transformation,[],[f65]) ).

fof(f194,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(flattening,[],[f193]) ).

fof(f198,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f199,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(flattening,[],[f198]) ).

fof(f200,plain,
    ! [X0,X1,X2] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f201,plain,
    ! [X0,X1,X2] :
      ( ~ midp(X0,X1,X2)
      | coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f241,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(ennf_transformation,[],[f91]) ).

fof(f242,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(flattening,[],[f241]) ).

fof(f249,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(ennf_transformation,[],[f96]) ).

fof(f250,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(flattening,[],[f249]) ).

fof(f266,plain,
    ! [X0,X1,X2,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) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).

fof(f270,plain,
    ( 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)
    & ~ perp(sK23,sK26,sK23,sK25) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[f250]) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f272,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f273,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f274,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f275,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f277,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f280,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | perp(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f282,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1)
      | circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f314,plain,
    ! [X2,X3,X0,X1,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(cnf_transformation,[],[f156]) ).

fof(f315,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | para(X3,X4,X1,X2) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f324,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2)
      | perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f326,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1)
      | cong(X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f334,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f335,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1)
      | midp(X4,X2,X3) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f338,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f339,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f340,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f377,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1)
      | perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
    inference(cnf_transformation,[],[f266]) ).

fof(f384,plain,
    midp(sK26,sK22,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f385,plain,
    midp(sK25,sK20,sK24),
    inference(cnf_transformation,[],[f270]) ).

fof(f386,plain,
    coll(sK24,sK22,sK23),
    inference(cnf_transformation,[],[f270]) ).

fof(f387,plain,
    perp(sK21,sK22,sK20,sK24),
    inference(cnf_transformation,[],[f270]) ).

fof(f389,plain,
    perp(sK23,sK22,sK20,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f390,plain,
    ~ perp(sK23,sK26,sK23,sK25),
    inference(cnf_transformation,[],[f270]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f271]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f272]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f273]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f274]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f275]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f277]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f278]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f279]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f280]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( circle(X0,X1,X3,X2)
      | ~ cong(X0,X1,X0,X3)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f282]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f310]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cyclic(X1,X2,X0,X3)
      | ~ coll(X0,X3,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
    inference(cnf_transformation,[],[f313]) ).

tcf(c_92,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( cong(X1,X2,X4,X5)
      | ~ cyclic(X1,X2,X0,X5)
      | ~ cyclic(X1,X2,X0,X4)
      | ~ cyclic(X1,X2,X0,X3)
      | ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_93,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( para(X0,X3,X2,X4)
      | ~ midp(X3,X1,X4)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f315]) ).

tcf(c_102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X1,X2,X2,X3)
      | ~ coll(X0,X1,X3)
      | ~ circle(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f324]) ).

tcf(c_104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X0,X2,X0,X3)
      | ~ midp(X1,X2,X3)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f326]) ).

tcf(c_112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( para(X1,X3,X2,X4)
      | ~ midp(X0,X3,X4)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f334]) ).

tcf(c_113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( midp(X4,X1,X3)
      | ~ midp(X4,X0,X2)
      | ~ para(X0,X3,X2,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f335]) ).

tcf(c_116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f338]) ).

tcf(c_117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f339]) ).

tcf(c_118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f340]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4)
      | ~ coll(X2,X3,X4)
      | ~ perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f377]) ).

tcf(c_162,negated_conjecture,
    ~ perp(sK23,sK26,sK23,sK25),
    inference(cnf_transformation,[],[f390]) ).

tcf(c_163,negated_conjecture,
    perp(sK23,sK22,sK20,sK21),
    inference(cnf_transformation,[],[f389]) ).

tcf(c_165,negated_conjecture,
    perp(sK21,sK22,sK20,sK24),
    inference(cnf_transformation,[],[f387]) ).

tcf(c_166,negated_conjecture,
    coll(sK24,sK22,sK23),
    inference(cnf_transformation,[],[f386]) ).

tcf(c_167,negated_conjecture,
    midp(sK25,sK20,sK24),
    inference(cnf_transformation,[],[f385]) ).

tcf(c_168,negated_conjecture,
    midp(sK26,sK22,sK21),
    inference(cnf_transformation,[],[f384]) ).

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

tcf(c_4278,negated_conjecture,
    midp(sK26,sK22,sK21),
    inference(demodulation,[status(thm)],[c_168]) ).

tcf(c_4279,negated_conjecture,
    midp(sK25,sK20,sK24),
    inference(demodulation,[status(thm)],[c_167]) ).

tcf(c_4280,negated_conjecture,
    coll(sK24,sK22,sK23),
    inference(demodulation,[status(thm)],[c_166]) ).

tcf(c_4281,negated_conjecture,
    perp(sK21,sK22,sK20,sK24),
    inference(demodulation,[status(thm)],[c_165]) ).

tcf(c_4283,negated_conjecture,
    perp(sK23,sK22,sK20,sK21),
    inference(demodulation,[status(thm)],[c_163]) ).

tcf(c_5810,plain,
    coll(sK25,sK20,sK24),
    inference(superposition,[status(thm)],[c_4279,c_118]) ).

tcf(c_5858,plain,
    perp(sK23,sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_4283,c_55]) ).

tcf(c_5859,plain,
    perp(sK21,sK22,sK24,sK20),
    inference(superposition,[status(thm)],[c_4281,c_55]) ).

tcf(c_5889,plain,
    ! [X0: $i] :
      ( coll(sK23,X0,sK24)
      | ~ coll(sK24,sK22,X0) ),
    inference(superposition,[status(thm)],[c_4280,c_51]) ).

tcf(c_5984,plain,
    perp(sK20,sK21,sK23,sK22),
    inference(superposition,[status(thm)],[c_4283,c_56]) ).

tcf(c_5985,plain,
    perp(sK20,sK24,sK21,sK22),
    inference(superposition,[status(thm)],[c_4281,c_56]) ).

tcf(c_6003,plain,
    perp(sK20,sK24,sK22,sK21),
    inference(superposition,[status(thm)],[c_5985,c_55]) ).

tcf(c_6023,plain,
    coll(sK23,sK23,sK24),
    inference(superposition,[status(thm)],[c_4280,c_5889]) ).

tcf(c_6026,plain,
    coll(sK23,sK24,sK23),
    inference(superposition,[status(thm)],[c_6023,c_49]) ).

tcf(c_6035,plain,
    ! [X0: $i] :
      ( coll(sK23,X0,sK23)
      | ~ coll(sK23,sK24,X0) ),
    inference(superposition,[status(thm)],[c_6026,c_51]) ).

tcf(c_6036,plain,
    coll(sK24,sK23,sK23),
    inference(superposition,[status(thm)],[c_6026,c_50]) ).

tcf(c_6040,plain,
    ( coll(sK23,sK23,sK23)
    | ~ coll(sK23,sK24,sK23) ),
    inference(instantiation,[status(thm)],[c_6035]) ).

tcf(c_6211,plain,
    ( cong(sK25,sK20,sK25,sK24)
    | ~ midp(sK25,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_117]) ).

tcf(c_6383,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK25,X0,sK24,X1)
      | ~ midp(X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_4279,c_93]) ).

tcf(c_6384,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK26,X0,sK21,X1)
      | ~ midp(X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_4278,c_93]) ).

tcf(c_6417,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK20,X0,sK24,X1)
      | ~ midp(sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_4279,c_112]) ).

tcf(c_6625,plain,
    ( cong(sK21,sK20,sK21,sK24)
    | ~ midp(sK22,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_4281,c_104]) ).

tcf(c_6912,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK23,sK22,X0,X1)
      | ~ perp(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_4283,c_57]) ).

tcf(c_6913,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK21,sK22,X0,X1)
      | ~ perp(sK20,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_4281,c_57]) ).

tcf(c_6916,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK20,sK21,X0,X1)
      | ~ perp(sK23,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_5984,c_57]) ).

tcf(c_6996,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(sK25,X3,X1,X2)
      | ~ midp(X3,sK20,X0)
      | ~ perp(sK24,X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6383,c_58]) ).

tcf(c_6997,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(sK26,X3,X1,X2)
      | ~ midp(X3,sK22,X0)
      | ~ perp(sK21,X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6384,c_58]) ).

tcf(c_6998,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(sK20,X3,X1,X2)
      | ~ midp(sK25,X3,X0)
      | ~ perp(sK24,X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6417,c_58]) ).

tcf(c_7068,plain,
    ! [X0: $i] :
      ( circle(sK21,sK20,X0,sK24)
      | ~ midp(sK22,sK20,sK24)
      | ~ cong(sK21,sK20,sK21,X0) ),
    inference(superposition,[status(thm)],[c_6625,c_60]) ).

tcf(c_7108,plain,
    para(sK23,sK22,sK23,sK22),
    inference(superposition,[status(thm)],[c_5984,c_6912]) ).

tcf(c_7112,plain,
    ! [X0: $i] :
      ( circle(sK25,sK20,X0,sK24)
      | ~ cong(sK25,sK20,sK25,sK24)
      | ~ cong(sK25,sK20,sK25,X0) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_7135,plain,
    para(sK21,sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_6003,c_6913]) ).

tcf(c_7158,plain,
    para(sK22,sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_7135,c_53]) ).

tcf(c_7652,plain,
    para(sK20,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_5858,c_6916]) ).

tcf(c_7660,plain,
    para(sK21,sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_7652,c_53]) ).

tcf(c_8060,plain,
    ! [X0: $i] :
      ( perp(sK26,X0,sK24,sK20)
      | ~ midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_5859,c_6997]) ).

tcf(c_8107,plain,
    ! [X0: $i] :
      ( perp(sK24,sK20,sK26,X0)
      | ~ midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_8060,c_56]) ).

tcf(c_8354,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cyclic(X1,X2,X0,X0)
      | ~ coll(X0,X0,X2)
      | ~ para(X0,X1,X0,X1) ),
    inference(superposition,[status(thm)],[c_88,c_91]) ).

tcf(c_8367,plain,
    ( cyclic(sK23,sK23,sK23,sK23)
    | ~ coll(sK23,sK23,sK23)
    | ~ para(sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_8354]) ).

tcf(c_9721,plain,
    ( circle(sK21,sK20,sK24,sK24)
    | ~ midp(sK22,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_6625,c_7068]) ).

tcf(c_9976,plain,
    ( perp(sK20,sK24,sK24,sK24)
    | ~ midp(sK22,sK20,sK24)
    | ~ coll(sK21,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_9721,c_102]) ).

tcf(c_10220,plain,
    ! [X0: $i] :
      ( midp(X0,sK22,sK22)
      | ~ midp(X0,sK23,sK23)
      | ~ para(sK23,sK22,sK23,sK22) ),
    inference(superposition,[status(thm)],[c_7108,c_113]) ).

tcf(c_10250,plain,
    ! [X0: $i] :
      ( midp(X0,sK22,sK22)
      | ~ midp(X0,sK23,sK23) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10220,c_7108]) ).

tcf(c_10321,plain,
    ( midp(sK23,sK22,sK22)
    | ~ midp(sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_10250]) ).

tcf(c_16212,plain,
    ( circle(sK25,sK20,sK24,sK24)
    | ~ cong(sK25,sK20,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_7112]) ).

tcf(c_18017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X1,X3,X2,X3)
      | ~ cyclic(X1,X3,X0,X3)
      | ~ cyclic(X1,X3,X0,X2)
      | ~ cyclic(X1,X3,X0,X0)
      | ~ para(X0,X1,X0,X2) ),
    inference(superposition,[status(thm)],[c_88,c_92]) ).

tcf(c_18074,plain,
    ( cong(sK23,sK23,sK23,sK23)
    | ~ cyclic(sK23,sK23,sK23,sK23)
    | ~ para(sK23,sK23,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_18017]) ).

tcf(c_23738,plain,
    ( perp(sK23,sK26,sK23,sK25)
    | ~ perp(sK23,sK26,sK25,sK23) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_24318,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK20,X1,X1,sK24)
      | ~ coll(X0,sK20,sK24)
      | ~ circle(X0,sK20,X1,sK24) ),
    inference(instantiation,[status(thm)],[c_102]) ).

tcf(c_24545,plain,
    para(sK22,sK21,sK22,sK21),
    inference(superposition,[status(thm)],[c_7158,c_52]) ).

tcf(c_24601,plain,
    para(sK21,sK20,sK21,sK20),
    inference(superposition,[status(thm)],[c_7660,c_52]) ).

tcf(c_30186,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK25,X1,sK26,X0)
      | ~ midp(X1,sK20,sK20)
      | ~ midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_8107,c_6996]) ).

tcf(c_30202,plain,
    ( perp(sK25,sK23,sK26,sK23)
    | ~ midp(sK23,sK20,sK20)
    | ~ midp(sK23,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_30186]) ).

tcf(c_31244,plain,
    ! [X0: $i] :
      ( midp(X0,sK21,sK21)
      | ~ midp(X0,sK22,sK22)
      | ~ para(sK22,sK21,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_24545,c_113]) ).

tcf(c_31254,plain,
    ! [X0: $i] :
      ( midp(X0,sK21,sK21)
      | ~ midp(X0,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_31244,c_24545]) ).

tcf(c_31257,plain,
    ( midp(sK23,sK21,sK21)
    | ~ midp(sK23,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_31254]) ).

tcf(c_31286,plain,
    ! [X0: $i] :
      ( midp(X0,sK20,sK20)
      | ~ midp(X0,sK21,sK21)
      | ~ para(sK21,sK20,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_24601,c_113]) ).

tcf(c_31302,plain,
    ! [X0: $i] :
      ( midp(X0,sK20,sK20)
      | ~ midp(X0,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_31286,c_24601]) ).

tcf(c_31305,plain,
    ( midp(sK23,sK20,sK20)
    | ~ midp(sK23,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_31302]) ).

tcf(c_50170,plain,
    ( perp(sK23,sK26,sK25,sK23)
    | ~ perp(sK25,sK23,sK23,sK26) ),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_64660,plain,
    ( perp(sK20,sK24,sK24,sK24)
    | ~ coll(sK25,sK20,sK24)
    | ~ circle(sK25,sK20,sK24,sK24) ),
    inference(instantiation,[status(thm)],[c_24318]) ).

tcf(c_81572,plain,
    perp(sK20,sK24,sK24,sK24),
    inference(global_subsumption_just,[status(thm)],[c_9976,c_167,c_5810,c_6211,c_16212,c_64660]) ).

tcf(c_81576,plain,
    perp(sK24,sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_81572,c_56]) ).

tcf(c_81616,plain,
    ! [X0: $i] :
      ( perp(sK20,X0,sK20,sK24)
      | ~ midp(sK25,X0,sK24) ),
    inference(superposition,[status(thm)],[c_81576,c_6998]) ).

tcf(c_81887,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK16(sK20,sK24,sK20,X0,X1),sK20,X0,X1)
      | ~ midp(sK25,sK20,sK24)
      | ~ coll(sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_81616,c_156]) ).

tcf(c_81926,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK16(sK20,sK24,sK20,X0,X1),sK20,X0,X1)
      | ~ coll(sK24,X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_81887,c_4279]) ).

tcf(c_81935,plain,
    ( perp(sK16(sK20,sK24,sK20,sK23,sK23),sK20,sK23,sK23)
    | ~ coll(sK24,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_81926]) ).

tcf(c_82263,plain,
    ! [X0: $i,X1: $i] :
      ( perp(X0,X1,sK16(sK20,sK24,sK20,X0,X1),sK20)
      | ~ coll(sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_81926,c_56]) ).

tcf(c_84140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X0,X1,X2,X3)
      | ~ coll(sK24,X0,X1)
      | ~ perp(sK16(sK20,sK24,sK20,X0,X1),sK20,X2,X3) ),
    inference(superposition,[status(thm)],[c_82263,c_57]) ).

tcf(c_84221,plain,
    ( para(sK23,sK23,sK23,sK23)
    | ~ coll(sK24,sK23,sK23)
    | ~ perp(sK16(sK20,sK24,sK20,sK23,sK23),sK20,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_84140]) ).

tcf(c_88463,plain,
    ( perp(sK25,sK23,sK23,sK26)
    | ~ perp(sK25,sK23,sK26,sK23) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_88464,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_88463,c_84221,c_81935,c_50170,c_31305,c_31257,c_30202,c_23738,c_18074,c_10321,c_8367,c_6040,c_6036,c_6026,c_174,c_162]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO604+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37  % Computer : n006.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Wed Sep 23 12:31:57 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.44  Running first-order theorem proving
% 0.14/0.44  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.45  
% 0.14/0.45  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.45  
% 0.14/0.45  % Detected problem language: tptp
% 0.14/0.47  % Proving...
% 35.63/8.06  % SZS status Started for theBenchmark.p
% 35.63/8.06  % SZS status Theorem for theBenchmark.p
% 35.63/8.06  
% 35.63/8.06  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 35.63/8.06  
% 35.63/8.06  % ------  iProver source info
% 35.63/8.06  
% 35.63/8.06  % git: date: 2026-07-19 20:42:38 +0200
% 35.63/8.06  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 35.63/8.06  % git: non_committed_changes: false
% 35.63/8.06  
% 35.63/8.06  % ------ Parsing...
% 35.63/8.06  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 35.63/8.06  
% 35.63/8.06  % ------ 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 % 
% 35.63/8.06  
% 35.63/8.06  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 35.63/8.06  
% 35.63/8.06  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 35.63/8.06  % ------ Proving...
% 35.63/8.06  % ------ Problem Properties 
% 35.63/8.06  
% 35.63/8.06  % 
% 35.63/8.06  % clauses                               119
% 35.63/8.06  % conjectures                           7
% 35.63/8.06  % EPR                                   82
% 35.63/8.06  % Horn                                  109
% 35.63/8.06  % unary                                 7
% 35.63/8.06  % binary                                37
% 35.63/8.06  % lits                                  335
% 35.63/8.06  % lits eq                               4
% 35.63/8.06  % fd_pure                               0
% 35.63/8.06  % fd_pseudo                             0
% 35.63/8.06  % fd_cond                               0
% 35.63/8.06  % fd_pseudo_cond                        4
% 35.63/8.06  % AC symbols                            0
% 35.63/8.06  
% 35.63/8.06  % ------ Schedule dynamic 5 is on 
% 35.63/8.06  
% 35.63/8.06  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.63/8.06  
% 35.63/8.06  
% 35.63/8.06  % ------ 
% 35.63/8.06  % Current options:
% 35.63/8.06  % ------ 
% 35.63/8.06  
% 35.63/8.06  
% 35.63/8.06  % 
% 35.63/8.06  
% 35.63/8.06  % ------ Proving...
% 35.63/8.06  % 
% 35.63/8.06  
% 35.63/8.06  % SZS status Theorem for theBenchmark.p
% 35.63/8.06  
% 35.63/8.06  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.63/8.07  
% 35.63/8.07  
%------------------------------------------------------------------------------