TSTP Solution File: GEO597+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO597+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.TASPklLPz0 true

% Computer : n023.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 23:59:20 EDT 2023

% Result   : Theorem 19.89s 3.35s
% Output   : Refutation 19.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  132 (  20 unt;  13 typ;   0 def)
%            Number of atoms       :  270 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives : 1483 (  90   ~;  84   |;  21   &;1242   @)
%                                         (   0 <=>;  25  =>;  21  <=;   0 <~>)
%            Maximal formula depth :   24 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   6 con; 0-8 aty)
%            Number of variables   :  523 (   0   ^; 523   !;   0   ?; 523   :)

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

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

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

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

thf(circle_type,type,
    circle: $i > $i > $i > $i > $o ).

thf(eqangle_type,type,
    eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

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(cyclic_type,type,
    cyclic: $i > $i > $i > $i > $o ).

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

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

thf(exemplo6GDDFULL416059,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,M: $i,N: $i,NWPNT1: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( midp @ M @ B @ A )
        & ( coll @ N @ O @ M )
        & ( circle @ O @ A @ N @ NWPNT1 ) )
     => ( eqangle @ A @ C @ C @ N @ N @ C @ C @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,M: $i,N: $i,NWPNT1: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( midp @ M @ B @ A )
          & ( coll @ N @ O @ M )
          & ( circle @ O @ A @ N @ NWPNT1 ) )
       => ( eqangle @ A @ C @ C @ N @ N @ C @ C @ B ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL416059]) ).

thf(zip_derived_cl117,plain,
    ~ ( eqangle @ sk__20 @ sk__22 @ sk__22 @ sk__25 @ sk__25 @ sk__22 @ sk__22 @ sk__21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD40,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD40]) ).

thf(ruleD19,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X2 @ X3 @ X0 @ X1 @ X6 @ X7 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD19]) ).

thf(zip_derived_cl685,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl18]) ).

thf(zip_derived_cl685_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl18]) ).

thf(ruleD39,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
      ( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
     => ( para @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD39]) ).

thf(zip_derived_cl4456,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl38]) ).

thf(zip_derived_cl6119,plain,
    ( ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference(split,[status(esa)],[zip_derived_cl4456]) ).

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_cl6124,plain,
    ( ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6119,zip_derived_cl3]) ).

thf(ruleD42b,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ( coll @ P @ Q @ B ) )
     => ( cyclic @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X2 @ X3 @ X1 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42b]) ).

thf(zip_derived_cl39_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD40]) ).

thf(zip_derived_cl739,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X1 @ X1 @ X0 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 )
      | ~ ( para @ X1 @ X2 @ X1 @ X2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).

thf(zip_derived_cl6581,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( coll @ X0 @ X0 @ X1 )
        | ( cyclic @ X0 @ X1 @ X0 @ X0 ) )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6124,zip_derived_cl739]) ).

thf(zip_derived_cl6119_003,plain,
    ( ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference(split,[status(esa)],[zip_derived_cl4456]) ).

thf(ruleD66,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( para @ A @ B @ A @ C )
     => ( coll @ A @ B @ C ) ) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl6127,plain,
    ( ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6119,zip_derived_cl66]) ).

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_cl139,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X0 @ X2 )
      | ~ ( coll @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6150,plain,
    ( ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6127,zip_derived_cl139]) ).

thf(zip_derived_cl2_004,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_cl6409,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ~ ( coll @ X1 @ X1 @ X2 )
        | ( coll @ X0 @ X2 @ X1 ) )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6150,zip_derived_cl2]) ).

thf(zip_derived_cl6150_005,plain,
    ( ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6127,zip_derived_cl139]) ).

thf(zip_derived_cl6434,plain,
    ( ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6409,zip_derived_cl6150]) ).

thf(zip_derived_cl6591,plain,
    ( ! [X0: $i,X1: $i] : ( cyclic @ X0 @ X1 @ X0 @ X0 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6581,zip_derived_cl6434]) ).

thf(ruleD15,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ C @ B @ D ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD15]) ).

thf(zip_derived_cl6842,plain,
    ( ! [X0: $i,X1: $i] : ( cyclic @ X0 @ X0 @ X1 @ X0 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6591,zip_derived_cl14]) ).

thf(ruleD41,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( cyclic @ A @ B @ P @ Q )
     => ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 )
      | ~ ( cyclic @ X1 @ X2 @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD41]) ).

thf(ruleD43,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( ( cyclic @ A @ B @ C @ P )
        & ( cyclic @ A @ B @ C @ Q )
        & ( cyclic @ A @ B @ C @ R )
        & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
     => ( cong @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X2 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X5 )
      | ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD43]) ).

thf(zip_derived_cl754,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl43]) ).

thf(zip_derived_cl755,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl754]) ).

thf(zip_derived_cl5026,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cyclic @ X0 @ X2 @ X1 @ X0 )
      | ~ ( cyclic @ X0 @ X2 @ X1 @ X2 )
      | ( cong @ X0 @ X2 @ X0 @ X2 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl755]) ).

thf(zip_derived_cl6902,plain,
    ( ! [X0: $i] : ( cong @ X0 @ X0 @ X0 @ X0 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6842,zip_derived_cl5026]) ).

thf(ruleD51,axiom,
    ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( coll @ M @ B @ C )
        & ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) )
     => ( midp @ M @ B @ C ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X4 @ X2 @ X3 )
      | ~ ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 )
      | ( midp @ X4 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD51]) ).

thf(ruleD46,axiom,
    ! [A: $i,B: $i,O: $i] :
      ( ( cong @ O @ A @ O @ B )
     => ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( eqangle @ X0 @ X1 @ X1 @ X2 @ X1 @ X2 @ X0 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD46]) ).

thf(zip_derived_cl864,plain,
    ! [X0: $i] :
      ( ( midp @ X0 @ X0 @ X0 )
      | ~ ( coll @ X0 @ X0 @ X0 )
      | ~ ( circle @ X0 @ X0 @ X0 @ X0 )
      | ~ ( cong @ X0 @ X0 @ X0 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl46]) ).

thf(zip_derived_cl46_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( eqangle @ X0 @ X1 @ X1 @ X2 @ X1 @ X2 @ X0 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD46]) ).

thf(zip_derived_cl38_007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD39]) ).

thf(zip_derived_cl788,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ X1 @ X1 @ X1 @ X0 )
      | ( para @ X1 @ X1 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl38]) ).

thf(zip_derived_cl66_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl5367,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ X1 @ X1 @ X1 @ X0 )
      | ( coll @ X1 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl788,zip_derived_cl66]) ).

thf(zip_derived_cl6061,plain,
    ! [X0: $i] :
      ( ~ ( cong @ X0 @ X0 @ X0 @ X0 )
      | ~ ( circle @ X0 @ X0 @ X0 @ X0 )
      | ( midp @ X0 @ X0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl864,zip_derived_cl5367]) ).

thf(ruleD12,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
      ( ( ( cong @ O @ A @ O @ B )
        & ( cong @ O @ A @ O @ C ) )
     => ( circle @ O @ A @ B @ C ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD12]) ).

thf(zip_derived_cl328,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
      | ( circle @ X1 @ X2 @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl6062,plain,
    ! [X0: $i] :
      ( ( midp @ X0 @ X0 @ X0 )
      | ~ ( cong @ X0 @ X0 @ X0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6061,zip_derived_cl328]) ).

thf(zip_derived_cl7070,plain,
    ( ! [X0: $i] : ( midp @ X0 @ X0 @ X0 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6902,zip_derived_cl6062]) ).

thf(zip_derived_cl6119_009,plain,
    ( ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference(split,[status(esa)],[zip_derived_cl4456]) ).

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_cl6123,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ~ ( midp @ X2 @ X1 @ X1 )
        | ( midp @ X2 @ X0 @ X0 ) )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6119,zip_derived_cl64]) ).

thf(zip_derived_cl7085,plain,
    ( ! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7070,zip_derived_cl6123]) ).

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_cl7093,plain,
    ( ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7085,zip_derived_cl68]) ).

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_cl7321,plain,
    ( ! [X0: $i,X1: $i,X2: $i] :
        ( ~ ( cong @ X1 @ X2 @ X1 @ X2 )
        | ( perp @ X1 @ X1 @ X0 @ X2 ) )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7093,zip_derived_cl56]) ).

thf(zip_derived_cl7093_010,plain,
    ( ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7085,zip_derived_cl68]) ).

thf(zip_derived_cl7339,plain,
    ( ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 )
   <= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7321,zip_derived_cl7093]) ).

thf(zip_derived_cl115,plain,
    midp @ sk__24 @ sk__21 @ sk__20,
    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_cl122,plain,
    midp @ sk__24 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl10]) ).

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_cl130,plain,
    cong @ sk__24 @ sk__20 @ sk__24 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl68]) ).

thf(ruleD13,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
      ( ( ( cong @ O @ A @ O @ B )
        & ( cong @ O @ A @ O @ C )
        & ( cong @ O @ A @ O @ D ) )
     => ( cyclic @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X4 @ X0 @ X4 @ X1 )
      | ~ ( cong @ X4 @ X0 @ X4 @ X2 )
      | ~ ( cong @ X4 @ X0 @ X4 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD13]) ).

thf(zip_derived_cl337,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X3 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X0 )
      | ( cyclic @ X2 @ X0 @ X0 @ X3 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl2773,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ X2 @ X0 @ X0 @ X0 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl337]) ).

thf(zip_derived_cl5424,plain,
    cyclic @ sk__20 @ sk__21 @ sk__21 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl2773]) ).

thf(zip_derived_cl40_012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 )
      | ~ ( cyclic @ X1 @ X2 @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD41]) ).

thf(zip_derived_cl38_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD39]) ).

thf(zip_derived_cl714,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X1 @ X1 )
      | ( para @ X1 @ X2 @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl38]) ).

thf(zip_derived_cl6038,plain,
    para @ sk__21 @ sk__20 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl5424,zip_derived_cl714]) ).

thf(zip_derived_cl6120,plain,
    ( ! [X0: $i,X1: $i] :
        ~ ( para @ X1 @ X0 @ X1 @ X0 )
   <= ! [X0: $i,X1: $i] :
        ~ ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl4456]) ).

thf('0',plain,
    ~ ! [X0: $i,X1: $i] :
        ~ ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6038,zip_derived_cl6120]) ).

thf('1',plain,
    ( ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 )
    | ! [X0: $i,X1: $i] :
        ~ ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl4456]) ).

thf('2',plain,
    ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl7759,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl7339,'2']) ).

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_cl7762,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7759,zip_derived_cl7]) ).

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_cl8151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( perp @ X0 @ X0 @ X4 @ X3 )
      | ( para @ X2 @ X1 @ X4 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7762,zip_derived_cl8]) ).

thf(zip_derived_cl7759_014,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl7339,'2']) ).

thf(zip_derived_cl8156,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl8151,zip_derived_cl7759]) ).

thf(zip_derived_cl8258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl685,zip_derived_cl8156]) ).

thf(ruleD18,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD18]) ).

thf(zip_derived_cl8492,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X2 @ X3 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8258,zip_derived_cl17]) ).

thf(zip_derived_cl18_015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X2 @ X3 @ X0 @ X1 @ X6 @ X7 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD19]) ).

thf(zip_derived_cl8585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X5 @ X4 @ X2 @ X3 @ X1 @ X0 @ X3 @ X2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8492,zip_derived_cl18]) ).

thf(ruleD21,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD21]) ).

thf(zip_derived_cl8724,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X5 @ X4 @ X3 @ X2 @ X0 @ X1 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8585,zip_derived_cl20]) ).

thf(ruleD22,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
     => ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
      | ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
    inference(cnf,[status(esa)],[ruleD22]) ).

thf(zip_derived_cl8903,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( eqangle @ X0 @ X1 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 )
      | ( eqangle @ X5 @ X4 @ X3 @ X2 @ X9 @ X8 @ X7 @ X6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8724,zip_derived_cl21]) ).

thf(zip_derived_cl8492_016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X2 @ X3 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8258,zip_derived_cl17]) ).

thf(zip_derived_cl20_017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD21]) ).

thf(zip_derived_cl8587,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X2 @ X3 @ X3 @ X2 @ X5 @ X4 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8492,zip_derived_cl20]) ).

thf(zip_derived_cl8908,plain,
    ! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : ( eqangle @ X5 @ X4 @ X3 @ X2 @ X9 @ X8 @ X7 @ X6 ),
    inference(demod,[status(thm)],[zip_derived_cl8903,zip_derived_cl8587]) ).

thf(zip_derived_cl9101,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl8908]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GEO597+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TASPklLPz0 true
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Aug 29 22:16:39 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.15/0.31  % Python version: Python 3.6.8
% 0.15/0.32  % Running in FO mode
% 0.52/0.56  % Total configuration time : 435
% 0.52/0.56  % Estimated wc time : 1092
% 0.52/0.56  % Estimated cpu time (7 cpus) : 156.0
% 1.04/0.65  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.65  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.65  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.65  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.65  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.22/0.66  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.66  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 19.89/3.35  % Solved by fo/fo1_av.sh.
% 19.89/3.35  % done 3358 iterations in 2.654s
% 19.89/3.35  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.89/3.35  % SZS output start Refutation
% See solution above
% 19.89/3.35  
% 19.89/3.35  
% 19.89/3.35  % Terminating...
% 19.89/3.39  % Runner terminated.
% 19.89/3.40  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------