TSTP Solution File: GEO541+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO541+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hRdxCX8I1Q true

% Computer : n008.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 23:59:03 EDT 2023

% Result   : Theorem 10.47s 2.11s
% Output   : Refutation 10.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  161 (  66 unt;  12 typ;   0 def)
%            Number of atoms       :  264 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives : 1145 (  79   ~;  77   |;  18   &; 951   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   8 con; 0-4 aty)
%            Number of variables   :  298 (   0   ^; 298   !;   0   ?; 298   :)

% Comments : 
%------------------------------------------------------------------------------
thf(perp_type,type,
    perp: $i > $i > $i > $i > $o ).

thf(sk__23_type,type,
    sk__23: $i ).

thf(cong_type,type,
    cong: $i > $i > $i > $i > $o ).

thf(midp_type,type,
    midp: $i > $i > $i > $o ).

thf(sk__26_type,type,
    sk__26: $i ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(sk__24_type,type,
    sk__24: $i ).

thf(sk__22_type,type,
    sk__22: $i ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(coll_type,type,
    coll: $i > $i > $i > $o ).

thf(para_type,type,
    para: $i > $i > $i > $i > $o ).

thf(sk__25_type,type,
    sk__25: $i ).

thf(exemplo6GDDFULL012001,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
      ( ( ( perp @ D @ C @ A @ B )
        & ( coll @ D @ A @ B )
        & ( perp @ E @ B @ A @ C )
        & ( coll @ E @ A @ C )
        & ( midp @ F @ C @ B )
        & ( midp @ G @ D @ E ) )
     => ( perp @ F @ G @ D @ E ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
        ( ( ( perp @ D @ C @ A @ B )
          & ( coll @ D @ A @ B )
          & ( perp @ E @ B @ A @ C )
          & ( coll @ E @ A @ C )
          & ( midp @ F @ C @ B )
          & ( midp @ G @ D @ E ) )
       => ( perp @ F @ G @ D @ E ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL012001]) ).

thf(zip_derived_cl113,plain,
    ~ ( perp @ sk__25 @ sk__26 @ sk__23 @ sk__24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119,plain,
    midp @ sk__25 @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD68,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( cong @ A @ B @ A @ C ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl249,plain,
    cong @ sk__25 @ sk__22 @ sk__25 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl68]) ).

thf(ruleD23,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cong @ A @ B @ C @ D )
     => ( cong @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl283,plain,
    cong @ sk__25 @ sk__22 @ sk__21 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl22]) ).

thf(ruleD24,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cong @ A @ B @ C @ D )
     => ( cong @ C @ D @ A @ B ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl292,plain,
    cong @ sk__21 @ sk__25 @ sk__25 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl283,zip_derived_cl23]) ).

thf(zip_derived_cl119_001,plain,
    midp @ sk__25 @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD11,axiom,
    ! [A: $i,B: $i,M: $i] :
      ( ( midp @ M @ B @ A )
     => ( midp @ M @ A @ B ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl156,plain,
    midp @ sk__25 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl10]) ).

thf(zip_derived_cl68_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl248,plain,
    cong @ sk__25 @ sk__21 @ sk__25 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl68]) ).

thf(zip_derived_cl22_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl282,plain,
    cong @ sk__25 @ sk__21 @ sk__22 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl22]) ).

thf(zip_derived_cl23_004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl290,plain,
    cong @ sk__22 @ sk__25 @ sk__25 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl23]) ).

thf(zip_derived_cl22_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl298,plain,
    cong @ sk__22 @ sk__25 @ sk__21 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl290,zip_derived_cl22]) ).

thf(ruleD25,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( cong @ A @ B @ C @ D )
        & ( cong @ C @ D @ E @ F ) )
     => ( cong @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X4 @ X5 )
      | ( cong @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD25]) ).

thf(zip_derived_cl374,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__21 @ sk__25 @ X1 @ X0 )
      | ( cong @ sk__22 @ sk__25 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl24]) ).

thf(zip_derived_cl2680,plain,
    cong @ sk__22 @ sk__25 @ sk__25 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl374]) ).

thf(zip_derived_cl23_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl2707,plain,
    cong @ sk__25 @ sk__22 @ sk__22 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl2680,zip_derived_cl23]) ).

thf(zip_derived_cl22_007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl2714,plain,
    cong @ sk__25 @ sk__22 @ sk__25 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl2707,zip_derived_cl22]) ).

thf(ruleD67,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( cong @ A @ B @ A @ C )
        & ( coll @ A @ B @ C ) )
     => ( midp @ A @ B @ C ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD67]) ).

thf(zip_derived_cl2719,plain,
    ( ( midp @ sk__25 @ sk__22 @ sk__22 )
    | ~ ( coll @ sk__25 @ sk__22 @ sk__22 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2714,zip_derived_cl67]) ).

thf(zip_derived_cl156_008,plain,
    midp @ sk__25 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl10]) ).

thf(ruleD69,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( coll @ A @ B @ C ) ) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl160,plain,
    coll @ sk__25 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl69]) ).

thf(zip_derived_cl160_009,plain,
    coll @ sk__25 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl69]) ).

thf(ruleD3,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( coll @ A @ B @ C )
        & ( coll @ A @ B @ D ) )
     => ( coll @ C @ D @ A ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__25 @ sk__21 @ X0 )
      | ( coll @ sk__22 @ X0 @ sk__25 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl2]) ).

thf(zip_derived_cl452,plain,
    coll @ sk__22 @ sk__22 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl164]) ).

thf(ruleD1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( coll @ A @ B @ C )
     => ( coll @ A @ C @ B ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl454,plain,
    coll @ sk__22 @ sk__25 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl452,zip_derived_cl0]) ).

thf(ruleD2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( coll @ A @ B @ C )
     => ( coll @ B @ A @ C ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl458,plain,
    coll @ sk__25 @ sk__22 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl1]) ).

thf(zip_derived_cl2733,plain,
    midp @ sk__25 @ sk__22 @ sk__22,
    inference(demod,[status(thm)],[zip_derived_cl2719,zip_derived_cl458]) ).

thf(zip_derived_cl115,plain,
    perp @ sk__23 @ sk__22 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD8,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( perp @ A @ B @ C @ D )
     => ( perp @ C @ D @ A @ B ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD8]) ).

thf(zip_derived_cl202,plain,
    perp @ sk__20 @ sk__21 @ sk__23 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl7]) ).

thf(ruleD7,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( perp @ A @ B @ C @ D )
     => ( perp @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD7]) ).

thf(zip_derived_cl208,plain,
    perp @ sk__20 @ sk__21 @ sk__22 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl6]) ).

thf(zip_derived_cl115_010,plain,
    perp @ sk__23 @ sk__22 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD9,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( perp @ A @ B @ C @ D )
        & ( perp @ C @ D @ E @ F ) )
     => ( para @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( para @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD9]) ).

thf(zip_derived_cl223,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__20 @ sk__21 @ X1 @ X0 )
      | ( para @ sk__23 @ sk__22 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl8]) ).

thf(zip_derived_cl2037,plain,
    para @ sk__23 @ sk__22 @ sk__22 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl223]) ).

thf(ruleD5,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( para @ C @ D @ A @ B ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD5]) ).

thf(zip_derived_cl2107,plain,
    para @ sk__22 @ sk__23 @ sk__23 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl2037,zip_derived_cl4]) ).

thf(ruleD4,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( para @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD4]) ).

thf(zip_derived_cl2166,plain,
    para @ sk__22 @ sk__23 @ sk__22 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl2107,zip_derived_cl3]) ).

thf(ruleD64,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( para @ A @ C @ B @ D )
        & ( para @ A @ D @ B @ C ) )
     => ( midp @ M @ C @ D ) ) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X3 @ X2 @ X1 )
      | ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD64]) ).

thf(zip_derived_cl2194,plain,
    ! [X0: $i] :
      ( ~ ( midp @ X0 @ sk__22 @ sk__22 )
      | ( midp @ X0 @ sk__23 @ sk__23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2166,zip_derived_cl64]) ).

thf(zip_derived_cl6934,plain,
    midp @ sk__25 @ sk__23 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl2733,zip_derived_cl2194]) ).

thf(zip_derived_cl114,plain,
    midp @ sk__26 @ sk__23 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl250,plain,
    cong @ sk__26 @ sk__23 @ sk__26 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl68]) ).

thf(zip_derived_cl22_012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl284,plain,
    cong @ sk__26 @ sk__23 @ sk__24 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl22]) ).

thf(zip_derived_cl23_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl294,plain,
    cong @ sk__24 @ sk__26 @ sk__26 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl23]) ).

thf(zip_derived_cl114_014,plain,
    midp @ sk__26 @ sk__23 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl157,plain,
    midp @ sk__26 @ sk__24 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl10]) ).

thf(zip_derived_cl68_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl251,plain,
    cong @ sk__26 @ sk__24 @ sk__26 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl68]) ).

thf(zip_derived_cl22_017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl285,plain,
    cong @ sk__26 @ sk__24 @ sk__23 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl251,zip_derived_cl22]) ).

thf(zip_derived_cl23_018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl296,plain,
    cong @ sk__23 @ sk__26 @ sk__26 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl23]) ).

thf(zip_derived_cl22_019,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl304,plain,
    cong @ sk__23 @ sk__26 @ sk__24 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl22]) ).

thf(zip_derived_cl24_020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X4 @ X5 )
      | ( cong @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD25]) ).

thf(zip_derived_cl376,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__24 @ sk__26 @ X1 @ X0 )
      | ( cong @ sk__23 @ sk__26 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl24]) ).

thf(zip_derived_cl2744,plain,
    cong @ sk__23 @ sk__26 @ sk__26 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl294,zip_derived_cl376]) ).

thf(zip_derived_cl23_021,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl2779,plain,
    cong @ sk__26 @ sk__23 @ sk__23 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl2744,zip_derived_cl23]) ).

thf(zip_derived_cl22_022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl2781,plain,
    cong @ sk__26 @ sk__23 @ sk__26 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl2779,zip_derived_cl22]) ).

thf(zip_derived_cl67_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD67]) ).

thf(zip_derived_cl2785,plain,
    ( ( midp @ sk__26 @ sk__23 @ sk__23 )
    | ~ ( coll @ sk__26 @ sk__23 @ sk__23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2781,zip_derived_cl67]) ).

thf(zip_derived_cl157_024,plain,
    midp @ sk__26 @ sk__24 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl10]) ).

thf(zip_derived_cl69_025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD69]) ).

thf(zip_derived_cl163,plain,
    coll @ sk__26 @ sk__24 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl69]) ).

thf(zip_derived_cl163_026,plain,
    coll @ sk__26 @ sk__24 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl69]) ).

thf(zip_derived_cl2_027,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__26 @ sk__24 @ X0 )
      | ( coll @ sk__23 @ X0 @ sk__26 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl2]) ).

thf(zip_derived_cl484,plain,
    coll @ sk__23 @ sk__23 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl173]) ).

thf(zip_derived_cl0_028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl487,plain,
    coll @ sk__23 @ sk__26 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl484,zip_derived_cl0]) ).

thf(zip_derived_cl1_029,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl491,plain,
    coll @ sk__26 @ sk__23 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl487,zip_derived_cl1]) ).

thf(zip_derived_cl2798,plain,
    midp @ sk__26 @ sk__23 @ sk__23,
    inference(demod,[status(thm)],[zip_derived_cl2785,zip_derived_cl491]) ).

thf(zip_derived_cl114_030,plain,
    midp @ sk__26 @ sk__23 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD63,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( midp @ M @ C @ D ) )
     => ( para @ A @ C @ B @ D ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( midp @ X4 @ X0 @ X2 )
      | ~ ( midp @ X4 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD63]) ).

thf(zip_derived_cl1046,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__23 @ X1 @ sk__24 @ X0 )
      | ~ ( midp @ sk__26 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl63]) ).

thf(zip_derived_cl4667,plain,
    para @ sk__23 @ sk__23 @ sk__24 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl2798,zip_derived_cl1046]) ).

thf(zip_derived_cl3_031,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD4]) ).

thf(zip_derived_cl4710,plain,
    para @ sk__23 @ sk__23 @ sk__23 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl4667,zip_derived_cl3]) ).

thf(zip_derived_cl4_032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD5]) ).

thf(zip_derived_cl4868,plain,
    para @ sk__23 @ sk__24 @ sk__23 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl4710,zip_derived_cl4]) ).

thf(zip_derived_cl64_033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X3 @ X2 @ X1 )
      | ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD64]) ).

thf(zip_derived_cl4967,plain,
    ! [X0: $i] :
      ( ~ ( para @ sk__23 @ sk__23 @ sk__23 @ sk__24 )
      | ~ ( midp @ X0 @ sk__23 @ sk__23 )
      | ( midp @ X0 @ sk__23 @ sk__24 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4868,zip_derived_cl64]) ).

thf(zip_derived_cl4710_034,plain,
    para @ sk__23 @ sk__23 @ sk__23 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl4667,zip_derived_cl3]) ).

thf(zip_derived_cl4979,plain,
    ! [X0: $i] :
      ( ~ ( midp @ X0 @ sk__23 @ sk__23 )
      | ( midp @ X0 @ sk__23 @ sk__24 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4967,zip_derived_cl4710]) ).

thf(zip_derived_cl8896,plain,
    midp @ sk__25 @ sk__23 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl6934,zip_derived_cl4979]) ).

thf(zip_derived_cl68_035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl8899,plain,
    cong @ sk__25 @ sk__23 @ sk__25 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl8896,zip_derived_cl68]) ).

thf(zip_derived_cl22_036,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl8972,plain,
    cong @ sk__25 @ sk__23 @ sk__24 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl8899,zip_derived_cl22]) ).

thf(zip_derived_cl23_037,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl9026,plain,
    cong @ sk__24 @ sk__25 @ sk__25 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl8972,zip_derived_cl23]) ).

thf(zip_derived_cl22_038,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl9066,plain,
    cong @ sk__24 @ sk__25 @ sk__23 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl9026,zip_derived_cl22]) ).

thf(zip_derived_cl294_039,plain,
    cong @ sk__24 @ sk__26 @ sk__26 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl23]) ).

thf(zip_derived_cl22_040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl302,plain,
    cong @ sk__24 @ sk__26 @ sk__23 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl294,zip_derived_cl22]) ).

thf(ruleD56,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( cong @ A @ P @ B @ P )
        & ( cong @ A @ Q @ B @ Q ) )
     => ( perp @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
      | ~ ( cong @ X0 @ X3 @ X2 @ X3 )
      | ( perp @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD56]) ).

thf(zip_derived_cl928,plain,
    ! [X0: $i] :
      ( ~ ( cong @ sk__24 @ X0 @ sk__23 @ X0 )
      | ( perp @ sk__24 @ sk__23 @ sk__26 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl56]) ).

thf(zip_derived_cl9104,plain,
    perp @ sk__24 @ sk__23 @ sk__26 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl9066,zip_derived_cl928]) ).

thf(zip_derived_cl6_041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD7]) ).

thf(zip_derived_cl9118,plain,
    perp @ sk__24 @ sk__23 @ sk__25 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl9104,zip_derived_cl6]) ).

thf(zip_derived_cl7_042,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD8]) ).

thf(zip_derived_cl9148,plain,
    perp @ sk__25 @ sk__26 @ sk__24 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl9118,zip_derived_cl7]) ).

thf(zip_derived_cl6_043,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD7]) ).

thf(zip_derived_cl9174,plain,
    perp @ sk__25 @ sk__26 @ sk__23 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl9148,zip_derived_cl6]) ).

thf(zip_derived_cl9218,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl9174]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO541+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hRdxCX8I1Q true
% 0.18/0.34  % Computer : n008.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Aug 29 23:01:02 EDT 2023
% 0.18/0.34  % CPUTime  : 
% 0.18/0.34  % Running portfolio for 300 s
% 0.18/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.34  % Number of cores: 8
% 0.18/0.34  % Python version: Python 3.6.8
% 0.18/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.47/2.11  % Solved by fo/fo13.sh.
% 10.47/2.11  % done 4492 iterations in 1.319s
% 10.47/2.11  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.47/2.11  % SZS output start Refutation
% See solution above
% 10.47/2.11  
% 10.47/2.11  
% 10.47/2.11  % Terminating...
% 10.47/2.17  % Runner terminated.
% 10.47/2.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------