TSTP Solution File: GEO587+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO587+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.ZKLMfDWeUV true

% Computer : n012.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 23:59:17 EDT 2023

% Result   : Theorem 50.04s 7.95s
% Output   : Refutation 50.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  120 (  35 unt;  15 typ;   0 def)
%            Number of atoms       :  232 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives : 1189 (  82   ~;  79   |;  25   &; 980   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   8 con; 0-8 aty)
%            Number of variables   :  404 (   0   ^; 404   !;   0   ?; 404   :)

% 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__27_type,type,
    sk__27: $i ).

thf(sk__23_type,type,
    sk__23: $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__20_type,type,
    sk__20: $i ).

thf(sk__28_type,type,
    sk__28: $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__21_type,type,
    sk__21: $i ).

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

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

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

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(exemplo6GDDFULL416049,conjecture,
    ! [A: $i,C: $i,B: $i,D: $i,P: $i,Q: $i,R: $i,S: $i,O: $i] :
      ( ( ( perp @ A @ C @ B @ D )
        & ( midp @ P @ B @ A )
        & ( midp @ Q @ C @ B )
        & ( midp @ R @ D @ C )
        & ( midp @ S @ A @ D )
        & ( coll @ O @ P @ R )
        & ( coll @ O @ Q @ S ) )
     => ( cong @ O @ S @ O @ R ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,C: $i,B: $i,D: $i,P: $i,Q: $i,R: $i,S: $i,O: $i] :
        ( ( ( perp @ A @ C @ B @ D )
          & ( midp @ P @ B @ A )
          & ( midp @ Q @ C @ B )
          & ( midp @ R @ D @ C )
          & ( midp @ S @ A @ D )
          & ( coll @ O @ P @ R )
          & ( coll @ O @ Q @ S ) )
       => ( cong @ O @ S @ O @ R ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL416049]) ).

thf(zip_derived_cl101,plain,
    ~ ( cong @ sk__28 @ sk__27 @ sk__28 @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1526,plain,
    ~ ( midp @ sk__28 @ sk__27 @ sk__26 ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl101]) ).

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(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_cl43,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(zip_derived_cl721,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cong @ X3 @ X2 @ X3 @ X1 )
      | ~ ( cong @ X3 @ X2 @ X3 @ X0 )
      | ( midp @ X4 @ X1 @ X0 )
      | ~ ( eqangle @ X2 @ X1 @ X2 @ X0 @ X3 @ X1 @ X3 @ X4 )
      | ~ ( coll @ X4 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl43]) ).

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_cl32,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(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_cl1210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ( eqangle @ X3 @ X2 @ X1 @ X2 @ X3 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl20]) ).

thf(zip_derived_cl4860,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( coll @ X0 @ X0 @ X0 )
      | ( midp @ X0 @ X0 @ X0 )
      | ~ ( cong @ X1 @ X1 @ X1 @ X0 )
      | ~ ( cong @ X1 @ X1 @ X1 @ X0 )
      | ~ ( cyclic @ X0 @ X0 @ X1 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl1210]) ).

thf(zip_derived_cl4862,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cyclic @ X0 @ X0 @ X1 @ X1 )
      | ~ ( cong @ X1 @ X1 @ X1 @ X0 )
      | ( midp @ X0 @ X0 @ X0 )
      | ~ ( coll @ X0 @ X0 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4860]) ).

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_cl31,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_cl1169,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('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).

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_cl34,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_cl4238,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ~ ( coll @ X1 @ X1 @ X0 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1169,zip_derived_cl34]) ).

thf(zip_derived_cl104,plain,
    perp @ sk__20 @ sk__21 @ sk__22 @ sk__23,
    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_cl898,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
      | ~ ( perp @ sk__22 @ sk__23 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl8]) ).

thf(zip_derived_cl104_001,plain,
    perp @ sk__20 @ sk__21 @ sk__22 @ sk__23,
    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_cl900,plain,
    perp @ sk__22 @ sk__23 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl7]) ).

thf(zip_derived_cl3331,plain,
    para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
    inference('sup+',[status(thm)],[zip_derived_cl898,zip_derived_cl900]) ).

thf(zip_derived_cl1169_002,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('sup-',[status(thm)],[zip_derived_cl31,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_cl30,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_cl4236,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1169,zip_derived_cl30]) ).

thf(zip_derived_cl61985,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3331,zip_derived_cl4236]) ).

thf(zip_derived_cl61985_003,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3331,zip_derived_cl4236]) ).

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

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl62000,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl61985,zip_derived_cl54]) ).

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_cl781,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_cl62082,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl62000,zip_derived_cl781]) ).

thf(zip_derived_cl63421,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl4238,zip_derived_cl61985,zip_derived_cl62082]) ).

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_cl63432,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl63421,zip_derived_cl14]) ).

thf(ruleD14,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD14]) ).

thf(zip_derived_cl64137,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl63432,zip_derived_cl13]) ).

thf(ruleD16,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ B @ A @ C @ D ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD16]) ).

thf(zip_derived_cl64196,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl64137,zip_derived_cl15]) ).

thf(ruleD17,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( cyclic @ A @ B @ C @ D )
        & ( cyclic @ A @ B @ C @ E ) )
     => ( cyclic @ B @ C @ D @ E ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X2 @ X4 )
      | ( cyclic @ X1 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD17]) ).

thf(zip_derived_cl64343,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X2 @ X1 @ X0 @ X3 )
      | ~ ( cyclic @ X1 @ X2 @ X1 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64196,zip_derived_cl16]) ).

thf(zip_derived_cl64196_004,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl64137,zip_derived_cl15]) ).

thf(zip_derived_cl64375,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl64343,zip_derived_cl64196]) ).

thf(zip_derived_cl62082_005,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl62000,zip_derived_cl781]) ).

thf(zip_derived_cl2_006,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_cl63309,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62082,zip_derived_cl2]) ).

thf(zip_derived_cl62082_007,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl62000,zip_derived_cl781]) ).

thf(zip_derived_cl63400,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl63309,zip_derived_cl62082]) ).

thf(zip_derived_cl64619,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ X1 @ X1 @ X1 @ X0 )
      | ( midp @ X0 @ X0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4862,zip_derived_cl64375,zip_derived_cl63400]) ).

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_cl35,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_cl32_008,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(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_cl1207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ( eqangle @ X2 @ X3 @ X3 @ X0 @ X1 @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl17]) ).

thf(zip_derived_cl4696,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X2 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X0 )
      | ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1207]) ).

thf(zip_derived_cl4707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X2 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4696]) ).

thf(zip_derived_cl64375_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl64343,zip_derived_cl64196]) ).

thf(zip_derived_cl64375_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl64343,zip_derived_cl64196]) ).

thf(zip_derived_cl64375_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl64343,zip_derived_cl64196]) ).

thf(zip_derived_cl64503,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4707,zip_derived_cl64375,zip_derived_cl64375,zip_derived_cl64375]) ).

thf(zip_derived_cl64622,plain,
    ! [X0: $i] : ( midp @ X0 @ X0 @ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl64619,zip_derived_cl64503]) ).

thf(zip_derived_cl61985_012,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3331,zip_derived_cl4236]) ).

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_cl52,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_cl1478,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( midp @ X3 @ X0 @ X0 )
      | ~ ( midp @ X3 @ X2 @ X1 )
      | ~ ( para @ X2 @ X0 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl62008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61985,zip_derived_cl1478]) ).

thf(zip_derived_cl64641,plain,
    ! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl64622,zip_derived_cl62008]) ).

thf(zip_derived_cl52_013,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_cl64503_014,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4707,zip_derived_cl64375,zip_derived_cl64375,zip_derived_cl64375]) ).

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_cl48,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_cl64514,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64503,zip_derived_cl48]) ).

thf(zip_derived_cl64503_015,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4707,zip_derived_cl64375,zip_derived_cl64375,zip_derived_cl64375]) ).

thf(zip_derived_cl64533,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl64514,zip_derived_cl64503]) ).

thf(zip_derived_cl7_016,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_cl64660,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl64533,zip_derived_cl7]) ).

thf(zip_derived_cl8_017,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_cl64699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( para @ X2 @ X1 @ X4 @ X3 )
      | ~ ( perp @ X0 @ X0 @ X4 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64660,zip_derived_cl8]) ).

thf(zip_derived_cl64533_018,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl64514,zip_derived_cl64503]) ).

thf(zip_derived_cl64727,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl64699,zip_derived_cl64533]) ).

thf(zip_derived_cl64727_019,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl64699,zip_derived_cl64533]) ).

thf(zip_derived_cl64770,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl64727,zip_derived_cl64727]) ).

thf(zip_derived_cl64802,plain,
    ! [X1: $i,X2: $i,X3: $i] : ( midp @ X1 @ X3 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl64641,zip_derived_cl64770]) ).

thf(zip_derived_cl64830,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1526,zip_derived_cl64802]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO587+1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZKLMfDWeUV true
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 21:06:53 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 50.04/7.95  % Solved by fo/fo3_bce.sh.
% 50.04/7.95  % BCE start: 109
% 50.04/7.95  % BCE eliminated: 1
% 50.04/7.95  % PE start: 108
% 50.04/7.95  logic: eq
% 50.04/7.95  % PE eliminated: -17
% 50.04/7.95  % done 13990 iterations in 7.183s
% 50.04/7.95  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 50.04/7.95  % SZS output start Refutation
% See solution above
% 50.04/7.95  
% 50.04/7.95  
% 50.04/7.95  % Terminating...
% 51.73/8.07  % Runner terminated.
% 51.73/8.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------