TSTP Solution File: GEO582+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO582+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fkGLcb5HcJ true

% Computer : n005.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 23:59:15 EDT 2023

% Result   : Theorem 5.31s 1.41s
% Output   : Refutation 5.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   97 (  26 unt;  12 typ;   0 def)
%            Number of atoms       :  183 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  950 (  63   ~;  55   |;  20   &; 789   @)
%                                         (   0 <=>;  20  =>;   3  <=;   0 <~>)
%            Maximal formula depth :   20 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   6 con; 0-8 aty)
%            Number of variables   :  313 (   0   ^; 313   !;   0   ?; 313   :)

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

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

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

thf(sk__24_type,type,
    sk__24: $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__26_type,type,
    sk__26: $i ).

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

thf(sk__20_type,type,
    sk__20: $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(exemplo6GDDFULL416044,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,D: $i,A1: $i,C1: $i,NWPNT1: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( circle @ O @ A @ D @ NWPNT1 )
        & ( perp @ A @ B @ A @ A1 )
        & ( coll @ A1 @ C @ D )
        & ( perp @ C @ D @ C @ C1 )
        & ( coll @ C1 @ A @ B ) )
     => ( para @ D @ B @ A1 @ C1 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,A1: $i,C1: $i,NWPNT1: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( circle @ O @ A @ D @ NWPNT1 )
          & ( perp @ A @ B @ A @ A1 )
          & ( coll @ A1 @ C @ D )
          & ( perp @ C @ D @ C @ C1 )
          & ( coll @ C1 @ A @ B ) )
       => ( para @ D @ B @ A1 @ C1 ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL416044]) ).

thf(zip_derived_cl119,plain,
    ~ ( para @ sk__24 @ sk__21 @ sk__25 @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(ruleD49,axiom,
    ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
     => ( perp @ O @ A @ A @ X ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X1 @ X4 @ X1 @ X2 @ X3 @ X1 @ X3 @ X2 )
      | ( perp @ X0 @ X1 @ X1 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD49]) ).

thf(zip_derived_cl933,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ X0 @ X0 @ X0 @ X0 )
      | ~ ( circle @ X1 @ X0 @ X0 @ X0 )
      | ( perp @ X1 @ X0 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl49]) ).

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_cl814,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_cl815,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_cl814]) ).

thf(zip_derived_cl4321,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_cl815]) ).

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(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_cl802,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X1 @ X2 @ X1 @ X2 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl42]) ).

thf(zip_derived_cl39_001,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_cl720,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_cl3393,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_cl720,zip_derived_cl38]) ).

thf(zip_derived_cl3780,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_cl3393]) ).

thf(zip_derived_cl115,plain,
    perp @ sk__20 @ sk__21 @ sk__20 @ sk__25,
    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_cl353,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__20 @ sk__25 @ X1 @ X0 )
      | ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl8]) ).

thf(zip_derived_cl3781,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_cl3393]) ).

thf(zip_derived_cl3815,plain,
    ( ~ ( perp @ sk__20 @ sk__25 @ sk__20 @ sk__21 )
   <= ! [X0: $i,X1: $i] :
        ~ ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl3781]) ).

thf(zip_derived_cl115_002,plain,
    perp @ sk__20 @ sk__21 @ sk__20 @ sk__25,
    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_cl355,plain,
    perp @ sk__20 @ sk__25 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl7]) ).

thf('0',plain,
    ~ ! [X0: $i,X1: $i] :
        ~ ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl3815,zip_derived_cl355]) ).

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_cl3393]) ).

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

thf(zip_derived_cl3863,plain,
    ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl3780,'2']) ).

thf(zip_derived_cl3863_003,plain,
    ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl3780,'2']) ).

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_cl4015,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3863,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_cl144,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_cl4026,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4015,zip_derived_cl144]) ).

thf(zip_derived_cl4293,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl802,zip_derived_cl3863,zip_derived_cl4026]) ).

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_cl4297,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4293,zip_derived_cl14]) ).

thf(zip_derived_cl4356,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cyclic @ X0 @ X2 @ X1 @ X0 )
      | ( cong @ X0 @ X2 @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4321,zip_derived_cl4297]) ).

thf(zip_derived_cl4297_004,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4293,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_cl4359,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4297,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_cl4367,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4359,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_cl4397,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X1 @ X2 @ X1 @ X3 )
      | ( cyclic @ X2 @ X1 @ X0 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4367,zip_derived_cl16]) ).

thf(zip_derived_cl4367_005,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4359,zip_derived_cl15]) ).

thf(zip_derived_cl4403,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl4397,zip_derived_cl4367]) ).

thf(zip_derived_cl4538,plain,
    ! [X0: $i,X2: $i] : ( cong @ X0 @ X2 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl4356,zip_derived_cl4403]) ).

thf(zip_derived_cl4574,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( circle @ X1 @ X0 @ X0 @ X0 )
      | ( perp @ X1 @ X0 @ X0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl933,zip_derived_cl4538]) ).

thf(zip_derived_cl4538_006,plain,
    ! [X0: $i,X2: $i] : ( cong @ X0 @ X2 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl4356,zip_derived_cl4403]) ).

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_cl324,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_cl4550,plain,
    ! [X0: $i,X1: $i] : ( circle @ X1 @ X0 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4538,zip_derived_cl324]) ).

thf(zip_derived_cl4590,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X0 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4574,zip_derived_cl4550]) ).

thf(zip_derived_cl8_007,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_cl4690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ X0 @ X0 @ X3 @ X2 )
      | ( para @ X1 @ X0 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4590,zip_derived_cl8]) ).

thf(zip_derived_cl4538_008,plain,
    ! [X0: $i,X2: $i] : ( cong @ X0 @ X2 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl4356,zip_derived_cl4403]) ).

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_cl4544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X2 )
      | ( perp @ X1 @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4538,zip_derived_cl56]) ).

thf(zip_derived_cl4538_009,plain,
    ! [X0: $i,X2: $i] : ( cong @ X0 @ X2 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl4356,zip_derived_cl4403]) ).

thf(zip_derived_cl4553,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl4544,zip_derived_cl4538]) ).

thf(zip_derived_cl4698,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl4690,zip_derived_cl4553]) ).

thf(zip_derived_cl4733,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl4698]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO582+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fkGLcb5HcJ true
% 0.14/0.33  % Computer : n005.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Tue Aug 29 21:06:37 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.14/0.33  % Running portfolio for 300 s
% 0.14/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.20/0.34  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.34/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 5.31/1.41  % Solved by fo/fo1_av.sh.
% 5.31/1.41  % done 1779 iterations in 0.668s
% 5.31/1.41  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.31/1.41  % SZS output start Refutation
% See solution above
% 5.31/1.41  
% 5.31/1.41  
% 5.31/1.41  % Terminating...
% 5.96/1.46  % Runner terminated.
% 5.96/1.48  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------