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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GEO572+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n011.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 01:21:30 PM UTC 2026

% Result   : Theorem 12.69s 3.02s
% Output   : CNFRefutation 14.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  198 (  43 unt;   0 def)
%            Number of atoms       :  477 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  495 ( 216   ~; 210   |;  46   &)
%                                         (   0 <=>;  23  =>;   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   :  508 (   0 sgn 491   !;  17   ?; 150   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(f46,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(X4,X0,X2)
        & para(X3,X4,X1,X2)
        & midp(X3,X0,X1) )
     => midp(X4,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

fof(f64,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X2,X3)
        & midp(X4,X0,X1) )
     => para(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD67) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( circle(X4,X1,X5,X6)
        & circle(X4,X3,X1,X2)
        & perp(X2,X3,X3,X5)
        & perp(X1,X2,X0,X3)
        & perp(X0,X2,X1,X3)
        & perp(X0,X1,X2,X3) )
     => para(X0,X3,X1,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214034) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( circle(X4,X1,X5,X6)
          & circle(X4,X3,X1,X2)
          & perp(X2,X3,X3,X5)
          & perp(X1,X2,X0,X3)
          & perp(X0,X2,X1,X3)
          & perp(X0,X1,X2,X3) )
       => para(X0,X3,X1,X5) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f98,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( circle(X4,X1,X5,X6)
      & circle(X4,X3,X1,X2)
      & perp(X2,X3,X3,X5)
      & perp(X1,X2,X0,X3)
      & perp(X0,X2,X1,X3)
      & perp(X0,X1,X2,X3)
      & ~ para(X0,X3,X1,X5) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f99,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( circle(X4,X1,X5,X6)
      & circle(X4,X3,X1,X2)
      & perp(X2,X3,X3,X5)
      & perp(X1,X2,X0,X3)
      & perp(X0,X2,X1,X3)
      & perp(X0,X1,X2,X3)
      & ~ para(X0,X3,X1,X5) ),
    inference(flattening,[],[f98]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f115,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(f116,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,[],[f115]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(flattening,[],[f117]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | midp(X4,X0,X2) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | midp(X4,X0,X2) ),
    inference(flattening,[],[f119]) ).

fof(f123,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(f127,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(f128,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(flattening,[],[f127]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(flattening,[],[f129]) ).

fof(f131,plain,
    ! [X0,X1,X2,X3] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f132,plain,
    ! [X0,X1,X2,X3] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f137,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(f138,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,[],[f137]) ).

fof(f155,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f179,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f180,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(flattening,[],[f179]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f3]) ).

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

fof(f185,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f186,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f187,plain,
    ! [X0,X1,X2] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f191,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f206,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(f207,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,[],[f206]) ).

fof(f208,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(f209,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,[],[f208]) ).

fof(f220,plain,
    ( circle(sK4,sK1,sK5,sK6)
    & circle(sK4,sK3,sK1,sK2)
    & perp(sK2,sK3,sK3,sK5)
    & perp(sK1,sK2,sK0,sK3)
    & perp(sK0,sK2,sK1,sK3)
    & perp(sK0,sK1,sK2,sK3)
    & ~ para(sK0,sK3,sK1,sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f99]) ).

fof(f228,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1)
      | ( perp(sK13(X0,X1,X2,X3,X4),X0,X3,X4)
        & coll(sK13(X0,X1,X2,X3,X4),X3,X4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X5,sK13(X0,X1,X2,X3,X4))],[f138]) ).

fof(f241,plain,
    perp(sK2,sK3,sK3,sK5),
    inference(cnf_transformation,[],[f220]) ).

fof(f242,plain,
    perp(sK1,sK2,sK0,sK3),
    inference(cnf_transformation,[],[f220]) ).

fof(f243,plain,
    perp(sK0,sK2,sK1,sK3),
    inference(cnf_transformation,[],[f220]) ).

fof(f244,plain,
    perp(sK0,sK1,sK2,sK3),
    inference(cnf_transformation,[],[f220]) ).

fof(f245,plain,
    ~ para(sK0,sK3,sK1,sK5),
    inference(cnf_transformation,[],[f220]) ).

fof(f259,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f260,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,[],[f116]) ).

fof(f261,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f262,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | midp(X4,X0,X2) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f264,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f267,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,[],[f128]) ).

fof(f268,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f269,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f270,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f274,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1)
      | perp(sK13(X0,X1,X2,X3,X4),X0,X3,X4) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f290,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f305,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f307,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f308,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f309,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f310,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f314,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f325,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,[],[f207]) ).

fof(f326,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,[],[f209]) ).

tcf(c_49,negated_conjecture,
    ~ para(sK0,sK3,sK1,sK5),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_50,negated_conjecture,
    perp(sK0,sK1,sK2,sK3),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_51,negated_conjecture,
    perp(sK0,sK2,sK1,sK3),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_52,negated_conjecture,
    perp(sK1,sK2,sK0,sK3),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_53,negated_conjecture,
    perp(sK2,sK3,sK3,sK5),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f259]) ).

tcf(c_70,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,[],[f260]) ).

tcf(c_71,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,[],[f261]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( midp(X1,X4,X3)
      | ~ midp(X0,X4,X2)
      | ~ coll(X1,X4,X3)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f262]) ).

tcf(c_74,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,[],[f264]) ).

tcf(c_77,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,[],[f267]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f268]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f269]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f270]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( perp(sK13(X0,X2,X1,X3,X4),X0,X3,X4)
      | ~ coll(X2,X3,X4)
      | ~ perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f274]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f290]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f291]) ).

tcf(c_115,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f305]) ).

tcf(c_117,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f307]) ).

tcf(c_118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f308]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f309]) ).

tcf(c_120,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f310]) ).

tcf(c_123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f313]) ).

tcf(c_124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_135,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,[],[f325]) ).

tcf(c_136,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,[],[f326]) ).

tcf(c_149,plain,
    ( midp(sK3,sK3,sK3)
    | ~ coll(sK3,sK3,sK3)
    | ~ cong(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_115]) ).

tcf(c_152,plain,
    ( eqangle(sK3,sK3,sK3,sK3,sK3,sK3,sK3,sK3)
    | ~ para(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_74]) ).

tcf(c_195,plain,
    ( cong(sK3,sK3,sK3,sK3)
    | ~ cyclic(sK3,sK3,sK3,sK3)
    | ~ eqangle(sK3,sK3,sK3,sK3,sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_135]) ).

tcf(c_2778,plain,
    perp(sK2,sK3,sK0,sK1),
    inference(superposition,[status(thm)],[c_50,c_100]) ).

tcf(c_2779,plain,
    perp(sK1,sK3,sK0,sK2),
    inference(superposition,[status(thm)],[c_51,c_100]) ).

tcf(c_2780,plain,
    perp(sK0,sK3,sK1,sK2),
    inference(superposition,[status(thm)],[c_52,c_100]) ).

tcf(c_2781,plain,
    perp(sK3,sK5,sK2,sK3),
    inference(superposition,[status(thm)],[c_53,c_100]) ).

tcf(c_2789,plain,
    perp(sK3,sK5,sK2,sK3),
    inference(superposition,[status(thm)],[c_53,c_100]) ).

tcf(c_2831,plain,
    perp(sK0,sK2,sK3,sK1),
    inference(superposition,[status(thm)],[c_51,c_101]) ).

tcf(c_2832,plain,
    perp(sK1,sK2,sK3,sK0),
    inference(superposition,[status(thm)],[c_52,c_101]) ).

tcf(c_2833,plain,
    perp(sK2,sK3,sK5,sK3),
    inference(superposition,[status(thm)],[c_53,c_101]) ).

tcf(c_2923,plain,
    perp(sK3,sK1,sK0,sK2),
    inference(superposition,[status(thm)],[c_2831,c_100]) ).

tcf(c_2927,plain,
    perp(sK3,sK0,sK1,sK2),
    inference(superposition,[status(thm)],[c_2832,c_100]) ).

tcf(c_2945,plain,
    perp(sK5,sK3,sK2,sK3),
    inference(superposition,[status(thm)],[c_2833,c_100]) ).

tcf(c_2993,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X0,X1,X2,X0)
      | ~ midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_120,c_124]) ).

tcf(c_3249,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X2,X0,X0,X1)
      | ~ midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_2993,c_123]) ).

tcf(c_3294,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X2,X0,X1,X0)
      | ~ midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_3249,c_124]) ).

tcf(c_3489,plain,
    ! [X0: $i,X1: $i] :
      ( midp(X0,X1,X1)
      | ~ midp(X1,X0,X0)
      | ~ coll(X0,X1,X1) ),
    inference(superposition,[status(thm)],[c_3294,c_115]) ).

tcf(c_5078,plain,
    ! [X0: $i,X1: $i] :
      ( para(X0,X1,sK2,sK3)
      | ~ perp(X0,X1,sK0,sK1) ),
    inference(superposition,[status(thm)],[c_50,c_77]) ).

tcf(c_5079,plain,
    ! [X0: $i,X1: $i] :
      ( para(X0,X1,sK1,sK3)
      | ~ perp(X0,X1,sK0,sK2) ),
    inference(superposition,[status(thm)],[c_51,c_77]) ).

tcf(c_5080,plain,
    ! [X0: $i,X1: $i] :
      ( para(X0,X1,sK0,sK3)
      | ~ perp(X0,X1,sK1,sK2) ),
    inference(superposition,[status(thm)],[c_52,c_77]) ).

tcf(c_5081,plain,
    ! [X0: $i,X1: $i] :
      ( para(X0,X1,sK3,sK5)
      | ~ perp(X0,X1,sK2,sK3) ),
    inference(superposition,[status(thm)],[c_53,c_77]) ).

tcf(c_5239,plain,
    ! [X0: $i,X1: $i] :
      ( para(X0,X1,sK3,sK5)
      | ~ perp(X0,X1,sK2,sK3) ),
    inference(superposition,[status(thm)],[c_53,c_77]) ).

tcf(c_5770,plain,
    ! [X0: $i,X1: $i] :
      ( coll(X1,sK3,sK1)
      | ~ coll(sK1,X0,sK3)
      | ~ coll(sK1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_117]) ).

tcf(c_5771,plain,
    ( coll(sK3,sK3,sK1)
    | ~ coll(sK1,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_5770]) ).

tcf(c_5860,plain,
    ! [X0: $i,X1: $i] :
      ( coll(X1,sK3,sK0)
      | ~ coll(sK0,X0,sK3)
      | ~ coll(sK0,X0,X1) ),
    inference(instantiation,[status(thm)],[c_117]) ).

tcf(c_5861,plain,
    ( coll(sK3,sK3,sK0)
    | ~ coll(sK0,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_5860]) ).

tcf(c_6009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( para(sK3,X1,sK0,X2)
      | ~ midp(X0,sK3,sK0)
      | ~ midp(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_71]) ).

tcf(c_6010,plain,
    ( para(sK3,sK3,sK0,sK3)
    | ~ midp(sK3,sK3,sK3)
    | ~ midp(sK3,sK3,sK0) ),
    inference(instantiation,[status(thm)],[c_6009]) ).

tcf(c_6150,plain,
    para(sK2,sK3,sK2,sK3),
    inference(superposition,[status(thm)],[c_2778,c_5078]) ).

tcf(c_6209,plain,
    para(sK1,sK3,sK1,sK3),
    inference(superposition,[status(thm)],[c_2779,c_5079]) ).

tcf(c_6210,plain,
    para(sK3,sK1,sK1,sK3),
    inference(superposition,[status(thm)],[c_2923,c_5079]) ).

tcf(c_6378,plain,
    para(sK0,sK3,sK0,sK3),
    inference(superposition,[status(thm)],[c_2780,c_5080]) ).

tcf(c_6379,plain,
    para(sK3,sK0,sK0,sK3),
    inference(superposition,[status(thm)],[c_2927,c_5080]) ).

tcf(c_6438,plain,
    para(sK3,sK5,sK3,sK5),
    inference(superposition,[status(thm)],[c_2781,c_5081]) ).

tcf(c_6439,plain,
    para(sK5,sK3,sK3,sK5),
    inference(superposition,[status(thm)],[c_2945,c_5081]) ).

tcf(c_6454,plain,
    para(sK3,sK5,sK3,sK5),
    inference(superposition,[status(thm)],[c_2789,c_5239]) ).

tcf(c_6648,plain,
    coll(sK2,sK3,sK3),
    inference(superposition,[status(thm)],[c_6150,c_69]) ).

tcf(c_6718,plain,
    para(sK1,sK3,sK3,sK1),
    inference(superposition,[status(thm)],[c_6209,c_80]) ).

tcf(c_6720,plain,
    coll(sK1,sK3,sK3),
    inference(superposition,[status(thm)],[c_6209,c_69]) ).

tcf(c_7451,plain,
    coll(sK3,sK2,sK3),
    inference(superposition,[status(thm)],[c_6648,c_118]) ).

tcf(c_7493,plain,
    ( midp(sK1,sK3,sK3)
    | ~ midp(sK3,sK1,sK1) ),
    inference(superposition,[status(thm)],[c_6720,c_3489]) ).

tcf(c_7550,plain,
    ! [X0: $i] :
      ( coll(X0,sK3,sK3)
      | ~ coll(sK3,sK2,X0) ),
    inference(superposition,[status(thm)],[c_7451,c_117]) ).

tcf(c_7553,plain,
    ( coll(sK3,sK3,sK3)
    | ~ coll(sK3,sK2,sK3) ),
    inference(instantiation,[status(thm)],[c_7550]) ).

tcf(c_7621,plain,
    para(sK3,sK1,sK3,sK1),
    inference(superposition,[status(thm)],[c_6210,c_80]) ).

tcf(c_7661,plain,
    para(sK0,sK3,sK3,sK0),
    inference(superposition,[status(thm)],[c_6378,c_80]) ).

tcf(c_7663,plain,
    coll(sK0,sK3,sK3),
    inference(superposition,[status(thm)],[c_6378,c_69]) ).

tcf(c_7688,plain,
    para(sK3,sK0,sK3,sK0),
    inference(superposition,[status(thm)],[c_6379,c_80]) ).

tcf(c_7730,plain,
    coll(sK3,sK5,sK5),
    inference(superposition,[status(thm)],[c_6438,c_69]) ).

tcf(c_7808,plain,
    para(sK5,sK3,sK5,sK3),
    inference(superposition,[status(thm)],[c_6439,c_80]) ).

tcf(c_8269,plain,
    ( midp(sK0,sK3,sK3)
    | ~ midp(sK3,sK0,sK0) ),
    inference(superposition,[status(thm)],[c_7663,c_3489]) ).

tcf(c_8443,plain,
    coll(sK5,sK3,sK5),
    inference(superposition,[status(thm)],[c_7730,c_118]) ).

tcf(c_9376,plain,
    coll(sK5,sK5,sK3),
    inference(superposition,[status(thm)],[c_8443,c_119]) ).

tcf(c_9427,plain,
    ! [X0: $i] :
      ( coll(X0,sK3,sK5)
      | ~ coll(sK5,sK5,X0) ),
    inference(superposition,[status(thm)],[c_9376,c_117]) ).

tcf(c_9430,plain,
    ( coll(sK3,sK3,sK5)
    | ~ coll(sK5,sK5,sK3) ),
    inference(instantiation,[status(thm)],[c_9427]) ).

tcf(c_10072,plain,
    ! [X0: $i] :
      ( midp(sK3,X0,sK5)
      | ~ midp(sK5,X0,sK3)
      | ~ coll(sK3,X0,sK5) ),
    inference(superposition,[status(thm)],[c_6439,c_72]) ).

tcf(c_10169,plain,
    ( midp(sK3,sK3,sK5)
    | ~ midp(sK5,sK3,sK3)
    | ~ coll(sK3,sK3,sK5) ),
    inference(instantiation,[status(thm)],[c_10072]) ).

tcf(c_12870,plain,
    ! [X0: $i] :
      ( midp(sK3,X0,sK1)
      | ~ midp(sK1,X0,sK3)
      | ~ coll(sK3,X0,sK1) ),
    inference(superposition,[status(thm)],[c_6718,c_72]) ).

tcf(c_12883,plain,
    ( midp(sK3,sK3,sK1)
    | ~ midp(sK1,sK3,sK3)
    | ~ coll(sK3,sK3,sK1) ),
    inference(instantiation,[status(thm)],[c_12870]) ).

tcf(c_13363,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_74,c_136]) ).

tcf(c_13377,plain,
    ( cyclic(sK3,sK3,sK3,sK3)
    | ~ coll(sK3,sK3,sK3)
    | ~ para(sK3,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_13363]) ).

tcf(c_13513,plain,
    ! [X0: $i] :
      ( midp(X0,sK5,sK5)
      | ~ midp(X0,sK3,sK3)
      | ~ para(sK3,sK5,sK3,sK5) ),
    inference(superposition,[status(thm)],[c_6454,c_70]) ).

tcf(c_13545,plain,
    ! [X0: $i] :
      ( midp(X0,sK5,sK5)
      | ~ midp(X0,sK3,sK3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_13513,c_6454]) ).

tcf(c_13659,plain,
    ( midp(sK3,sK5,sK5)
    | ~ midp(sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_13545]) ).

tcf(c_14357,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK13(sK2,sK5,sK3,X0,X1),sK2,X0,X1)
      | ~ coll(sK5,X0,X1) ),
    inference(superposition,[status(thm)],[c_53,c_85]) ).

tcf(c_14599,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X0,X1,X2,X3)
      | ~ coll(sK5,X2,X3)
      | ~ perp(X0,X1,sK13(sK2,sK5,sK3,X2,X3),sK2) ),
    inference(superposition,[status(thm)],[c_14357,c_77]) ).

tcf(c_14602,plain,
    ! [X0: $i,X1: $i] :
      ( perp(X0,X1,sK13(sK2,sK5,sK3,X0,X1),sK2)
      | ~ coll(sK5,X0,X1) ),
    inference(superposition,[status(thm)],[c_14357,c_100]) ).

tcf(c_14643,plain,
    ( perp(sK3,sK3,sK13(sK2,sK5,sK3,sK3,sK3),sK2)
    | ~ coll(sK5,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_14602]) ).

tcf(c_14644,plain,
    ( para(sK3,sK3,sK3,sK3)
    | ~ coll(sK5,sK3,sK3)
    | ~ perp(sK3,sK3,sK13(sK2,sK5,sK3,sK3,sK3),sK2) ),
    inference(instantiation,[status(thm)],[c_14599]) ).

tcf(c_14706,plain,
    ! [X0: $i,X1: $i] :
      ( coll(sK5,X0,X1)
      | ~ para(sK5,X0,sK5,X1) ),
    inference(instantiation,[status(thm)],[c_69]) ).

tcf(c_14707,plain,
    ( coll(sK5,sK3,sK3)
    | ~ para(sK5,sK3,sK5,sK3) ),
    inference(instantiation,[status(thm)],[c_14706]) ).

tcf(c_15902,plain,
    ! [X0: $i] :
      ( midp(X0,sK1,sK1)
      | ~ midp(X0,sK3,sK3)
      | ~ para(sK3,sK1,sK3,sK1) ),
    inference(superposition,[status(thm)],[c_7621,c_70]) ).

tcf(c_15911,plain,
    ! [X0: $i] :
      ( midp(X0,sK1,sK1)
      | ~ midp(X0,sK3,sK3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_15902,c_7621]) ).

tcf(c_15914,plain,
    ( midp(sK3,sK1,sK1)
    | ~ midp(sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_15911]) ).

tcf(c_16868,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK0,sK3,X0,X1)
      | ~ para(X0,X1,sK0,sK3) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_16869,plain,
    ( para(sK0,sK3,sK3,sK3)
    | ~ para(sK3,sK3,sK0,sK3) ),
    inference(instantiation,[status(thm)],[c_16868]) ).

tcf(c_17069,plain,
    ! [X0: $i] :
      ( midp(sK3,X0,sK0)
      | ~ midp(sK0,X0,sK3)
      | ~ coll(sK3,X0,sK0) ),
    inference(superposition,[status(thm)],[c_7661,c_72]) ).

tcf(c_17084,plain,
    ( midp(sK3,sK3,sK0)
    | ~ midp(sK0,sK3,sK3)
    | ~ coll(sK3,sK3,sK0) ),
    inference(instantiation,[status(thm)],[c_17069]) ).

tcf(c_17136,plain,
    ! [X0: $i] :
      ( midp(X0,sK0,sK0)
      | ~ midp(X0,sK3,sK3)
      | ~ para(sK3,sK0,sK3,sK0) ),
    inference(superposition,[status(thm)],[c_7688,c_70]) ).

tcf(c_17145,plain,
    ! [X0: $i] :
      ( midp(X0,sK0,sK0)
      | ~ midp(X0,sK3,sK3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17136,c_7688]) ).

tcf(c_17148,plain,
    ( midp(sK3,sK0,sK0)
    | ~ midp(sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_17145]) ).

tcf(c_19583,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK0,sK3,sK1,sK5)
      | ~ para(sK0,sK3,X0,X1)
      | ~ para(X0,X1,sK1,sK5) ),
    inference(instantiation,[status(thm)],[c_78]) ).

tcf(c_19584,plain,
    ( para(sK0,sK3,sK1,sK5)
    | ~ para(sK3,sK3,sK1,sK5)
    | ~ para(sK0,sK3,sK3,sK3) ),
    inference(instantiation,[status(thm)],[c_19583]) ).

tcf(c_20145,plain,
    coll(sK5,sK3,sK3),
    inference(superposition,[status(thm)],[c_7808,c_69]) ).

tcf(c_20170,plain,
    ( midp(sK5,sK3,sK3)
    | ~ midp(sK3,sK5,sK5) ),
    inference(superposition,[status(thm)],[c_20145,c_3489]) ).

tcf(c_31140,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( para(X1,X2,sK1,sK5)
      | ~ midp(X0,X2,sK5)
      | ~ midp(X0,X1,sK1) ),
    inference(instantiation,[status(thm)],[c_71]) ).

tcf(c_31141,plain,
    ( para(sK3,sK3,sK1,sK5)
    | ~ midp(sK3,sK3,sK5)
    | ~ midp(sK3,sK3,sK1) ),
    inference(instantiation,[status(thm)],[c_31140]) ).

tcf(c_31142,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_31141,c_20170,c_19584,c_17148,c_17084,c_16869,c_15914,c_14707,c_14644,c_14643,c_13659,c_13377,c_12883,c_10169,c_9430,c_9376,c_8269,c_7808,c_7663,c_7553,c_7493,c_7451,c_6720,c_6010,c_5861,c_5771,c_195,c_152,c_149,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO572+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.57  % Computer : n011.cluster.edu
% 0.09/0.57  % Model    : x86_64 x86_64
% 0.09/0.57  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57  % Memory   : 8046.5625MB
% 0.09/0.57  % OS       : Linux 6.8.0-71-generic
% 0.09/0.57  % CPULimit : 300
% 0.09/0.57  % WCLimit  : 300
% 0.09/0.57  % DateTime : Wed Sep 23 12:26:42 UTC 2026
% 0.09/0.57  % CPUTime  : 
% 0.09/0.57  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.61  Running first-order theorem proving
% 0.09/0.61  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.62  
% 0.09/0.62  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.62  
% 0.09/0.62  % Detected problem language: tptp
% 0.14/0.64  % Proving...
% 12.69/3.02  % SZS status Started for theBenchmark.p
% 12.69/3.02  % SZS status Theorem for theBenchmark.p
% 12.69/3.02  
% 12.69/3.02  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 12.69/3.02  
% 12.69/3.02  % ------  iProver source info
% 12.69/3.02  
% 12.69/3.02  % git: date: 2026-07-19 20:42:38 +0200
% 12.69/3.02  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 12.69/3.02  % git: non_committed_changes: false
% 12.69/3.02  
% 12.69/3.02  % ------ Parsing...
% 12.69/3.02  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 12.69/3.02  
% 12.69/3.02  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 12.69/3.02  
% 12.69/3.02  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.69/3.02  % ------ Proving...
% 12.69/3.02  % ------ Problem Properties 
% 12.69/3.02  
% 12.69/3.02  % 
% 12.69/3.02  % clauses                               94
% 12.69/3.02  % conjectures                           7
% 12.69/3.02  % EPR                                   61
% 12.69/3.02  % Horn                                  89
% 12.69/3.02  % unary                                 7
% 12.69/3.02  % binary                                24
% 12.69/3.02  % lits                                  263
% 12.69/3.02  % lits eq                               0
% 12.69/3.02  % fd_pure                               0
% 12.69/3.02  % fd_pseudo                             0
% 12.69/3.02  % fd_cond                               0
% 12.69/3.02  % fd_pseudo_cond                        0
% 12.69/3.02  % AC symbols                            0
% 12.69/3.02  
% 12.69/3.02  % ------ Schedule dynamic 5 is on 
% 12.69/3.02  
% 12.69/3.02  % ------ no equalities: superposition off 
% 12.69/3.02  
% 12.69/3.02  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 12.69/3.02  
% 12.69/3.02  
% 12.69/3.02  % ------ 
% 12.69/3.02  % Current options:
% 12.69/3.02  % ------ 
% 12.69/3.02  
% 12.69/3.02  
% 12.69/3.02  % 
% 12.69/3.02  
% 12.69/3.02  % ------ Proving...
% 12.69/3.02  % 
% 12.69/3.02  
% 12.69/3.02  % SZS status Theorem for theBenchmark.p
% 12.69/3.02  
% 12.69/3.02  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.99/3.03  
% 14.99/3.03  
%------------------------------------------------------------------------------