TSTP Solution File: GEO523+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO523+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2qJy7bwyv7 true
% Computer : n006.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 23:58:59 EDT 2023
% Result : Theorem 99.72s 14.94s
% Output : Refutation 99.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 98 ( 28 unt; 10 typ; 0 def)
% Number of atoms : 293 ( 139 equ; 26 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 926 ( 80 ~; 114 |; 11 &; 667 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 10 usr; 7 con; 0-4 aty)
% ( 54 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 190 ( 54 ^; 136 !; 0 ?; 190 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk3_type',type,
'#sk3': $i ).
thf(s_type,type,
s: $i > $i > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(s_m_type,type,
s_m: $i > $i > $i > $o ).
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(s_col_type,type,
s_col: $i > $i > $i > $o ).
thf(midpoint_type,type,
midpoint: $i > $i > $i ).
thf(reflect_type,type,
reflect: $i > $i > $i > $i ).
thf(aSatz10_4,conjecture,
! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp ) ),
inference('cnf.neg',[status(esa)],[aSatz10_4]) ).
thf(zip_derived_cl185,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( Y0 = Y1 )
| ( ( reflect @ Y0 @ Y1 @ Y2 )
!= Y3 )
| ( ( reflect @ Y0 @ Y1 @ Y3 )
= Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl245,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' = Y0 )
| ( ( reflect @ '#sk1' @ Y0 @ Y1 )
!= Y2 )
| ( ( reflect @ '#sk1' @ Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl185]) ).
thf(zip_derived_cl246,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' = '#sk2' )
| ( ( reflect @ '#sk1' @ '#sk2' @ Y0 )
!= Y1 )
| ( ( reflect @ '#sk1' @ '#sk2' @ Y1 )
= Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl245]) ).
thf(zip_derived_cl247,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' = '#sk2' )
| ( ( reflect @ '#sk1' @ '#sk2' @ '#sk3' )
!= Y0 )
| ( ( reflect @ '#sk1' @ '#sk2' @ Y0 )
= '#sk3' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl246]) ).
thf(zip_derived_cl248,plain,
~ ( ( '#sk1' = '#sk2' )
| ( ( reflect @ '#sk1' @ '#sk2' @ '#sk3' )
!= '#sk4' )
| ( ( reflect @ '#sk1' @ '#sk2' @ '#sk4' )
= '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl250,plain,
( ( reflect @ '#sk1' @ '#sk2' @ '#sk3' )
!= '#sk4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl248]) ).
thf(zip_derived_cl253,plain,
( ( reflect @ '#sk1' @ '#sk2' @ '#sk3' )
= '#sk4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl250]) ).
thf(aSatz10_2a,axiom,
! [Xa: $i,Xb: $i,Xp: $i] :
( ( ( Xa = Xb )
| ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ ( reflect @ Xa @ Xb @ Xp ) ) ) )
& ( ( Xa = Xb )
| ( Xp
= ( reflect @ Xa @ Xb @ Xp ) )
| ( perp @ Xa @ Xb @ Xp @ ( reflect @ Xa @ Xb @ Xp ) ) ) ) ).
thf(zip_derived_cl183,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( Y0 = Y1 )
| ( s_col @ Y0 @ Y1 @ ( midpoint @ Y2 @ ( reflect @ Y0 @ Y1 @ Y2 ) ) ) )
& ( ( Y0 = Y1 )
| ( Y2
= ( reflect @ Y0 @ Y1 @ Y2 ) )
| ( perp @ Y0 @ Y1 @ Y2 @ ( reflect @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[aSatz10_2a]) ).
thf(zip_derived_cl2323,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( X2 = Y0 )
| ( s_col @ X2 @ Y0 @ ( midpoint @ Y1 @ ( reflect @ X2 @ Y0 @ Y1 ) ) ) )
& ( ( X2 = Y0 )
| ( Y1
= ( reflect @ X2 @ Y0 @ Y1 ) )
| ( perp @ X2 @ Y0 @ Y1 @ ( reflect @ X2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl183]) ).
thf(zip_derived_cl2324,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( X2 = X4 )
| ( s_col @ X2 @ X4 @ ( midpoint @ Y0 @ ( reflect @ X2 @ X4 @ Y0 ) ) ) )
& ( ( X2 = X4 )
| ( Y0
= ( reflect @ X2 @ X4 @ Y0 ) )
| ( perp @ X2 @ X4 @ Y0 @ ( reflect @ X2 @ X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2323]) ).
thf(zip_derived_cl2325,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( X2 = X4 )
| ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ ( reflect @ X2 @ X4 @ X6 ) ) ) )
& ( ( X2 = X4 )
| ( X6
= ( reflect @ X2 @ X4 @ X6 ) )
| ( perp @ X2 @ X4 @ X6 @ ( reflect @ X2 @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2324]) ).
thf(zip_derived_cl2327,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X2 = X4 )
| ( X6
= ( reflect @ X2 @ X4 @ X6 ) )
| ( perp @ X2 @ X4 @ X6 @ ( reflect @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2325]) ).
thf(zip_derived_cl2329,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X2 = X4 )
| ( X6
= ( reflect @ X2 @ X4 @ X6 ) )
| ( perp @ X2 @ X4 @ X6 @ ( reflect @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2327]) ).
thf(zip_derived_cl2331,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X2 = X4 )
| ( X6
= ( reflect @ X2 @ X4 @ X6 ) )
| ( perp @ X2 @ X4 @ X6 @ ( reflect @ X2 @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2329]) ).
thf(zip_derived_cl45622,plain,
( ( '#sk1' = '#sk2' )
| ( '#sk3' = '#sk4' )
| ( perp @ '#sk1' @ '#sk2' @ '#sk3' @ '#sk4' ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl253,zip_derived_cl2331]) ).
thf(zip_derived_cl249,plain,
'#sk1' != '#sk2',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl248]) ).
thf(zip_derived_cl252,plain,
'#sk1' != '#sk2',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl249]) ).
thf(zip_derived_cl45625,plain,
( ( '#sk3' = '#sk4' )
| ( perp @ '#sk1' @ '#sk2' @ '#sk3' @ '#sk4' ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl45622,zip_derived_cl252]) ).
thf(aExtPerp4,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ~ ( perp @ Xa @ Xb @ Xp @ Xq )
| ( perp @ Xa @ Xb @ Xq @ Xp ) ) ).
thf(zip_derived_cl153,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( (~) @ ( perp @ Y0 @ Y1 @ Y2 @ Y3 ) )
| ( perp @ Y0 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[aExtPerp4]) ).
thf(zip_derived_cl646,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( perp @ X2 @ Y0 @ Y1 @ Y2 ) )
| ( perp @ X2 @ Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl153]) ).
thf(zip_derived_cl647,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( perp @ X2 @ X4 @ Y0 @ Y1 ) )
| ( perp @ X2 @ X4 @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl646]) ).
thf(zip_derived_cl648,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( perp @ X2 @ X4 @ X6 @ Y0 ) )
| ( perp @ X2 @ X4 @ Y0 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl647]) ).
thf(zip_derived_cl649,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( (~) @ ( perp @ X2 @ X4 @ X6 @ X8 ) )
| ( perp @ X2 @ X4 @ X8 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl648]) ).
thf(zip_derived_cl650,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ~ ( perp @ X2 @ X4 @ X6 @ X8 )
| ( perp @ X2 @ X4 @ X8 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl649]) ).
thf(zip_derived_cl45635,plain,
( ( '#sk3' = '#sk4' )
| ( perp @ '#sk1' @ '#sk2' @ '#sk4' @ '#sk3' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45625,zip_derived_cl650]) ).
thf(aSatz8_22,axiom,
! [Xa: $i,Xb: $i] : ( s_m @ Xa @ ( midpoint @ Xa @ Xb ) @ Xb ) ).
thf(zip_derived_cl145,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( s_m @ Y0 @ ( midpoint @ Y0 @ Y1 ) @ Y1 ) ) ),
inference(cnf,[status(esa)],[aSatz8_22]) ).
thf(zip_derived_cl221,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] : ( s_m @ X2 @ ( midpoint @ X2 @ Y0 ) @ Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl222,plain,
! [X2: $i,X4: $i] : ( s_m @ X2 @ ( midpoint @ X2 @ X4 ) @ X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl221]) ).
thf(aSatz7_6,axiom,
! [Xp: $i,Xa: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xq
= ( s @ Xa @ Xp ) ) ) ).
thf(zip_derived_cl97,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( s_m @ Y0 @ Y1 @ Y2 ) )
| ( Y2
= ( s @ Y1 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[aSatz7_6]) ).
thf(zip_derived_cl477,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( s_m @ X2 @ Y0 @ Y1 ) )
| ( Y1
= ( s @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl97]) ).
thf(zip_derived_cl478,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( s_m @ X2 @ X4 @ Y0 ) )
| ( Y0
= ( s @ X4 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl477]) ).
thf(zip_derived_cl479,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( (~) @ ( s_m @ X2 @ X4 @ X6 ) )
| ( X6
= ( s @ X4 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl478]) ).
thf(zip_derived_cl480,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( s_m @ X2 @ X4 @ X6 )
| ( X6
= ( s @ X4 @ X2 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl479]) ).
thf(zip_derived_cl481,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( s_m @ X2 @ X4 @ X6 )
| ( X6
= ( s @ X4 @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl480]) ).
thf(zip_derived_cl485,plain,
! [X0: $i,X1: $i] :
( X0
= ( s @ ( midpoint @ X1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl481]) ).
thf(zip_derived_cl485_001,plain,
! [X0: $i,X1: $i] :
( X0
= ( s @ ( midpoint @ X1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl481]) ).
thf(aSatz7_7,axiom,
! [Xa: $i,Xp: $i] :
( ( s @ Xa @ ( s @ Xa @ Xp ) )
= Xp ) ).
thf(zip_derived_cl98,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( s @ Y0 @ ( s @ Y0 @ Y1 ) )
= Y1 ) ) ),
inference(cnf,[status(esa)],[aSatz7_7]) ).
thf(zip_derived_cl259,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( s @ X2 @ ( s @ X2 @ Y0 ) )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl260,plain,
! [X2: $i,X4: $i] :
( ( s @ X2 @ ( s @ X2 @ X4 ) )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl259]) ).
thf(zip_derived_cl261,plain,
! [X2: $i,X4: $i] :
( ( s @ X2 @ ( s @ X2 @ X4 ) )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl260]) ).
thf(aSatz7_18,axiom,
! [Xa: $i,Xp: $i,Xb: $i] :
( ( ( s @ Xa @ Xp )
!= ( s @ Xb @ Xp ) )
| ( Xa = Xb ) ) ).
thf(zip_derived_cl109,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( s @ Y0 @ Y1 )
!= ( s @ Y2 @ Y1 ) )
| ( Y0 = Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[aSatz7_18]) ).
thf(zip_derived_cl521,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( s @ X2 @ Y0 )
!= ( s @ Y1 @ Y0 ) )
| ( X2 = Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl522,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( s @ X2 @ X4 )
!= ( s @ Y0 @ X4 ) )
| ( X2 = Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl521]) ).
thf(zip_derived_cl523,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( s @ X2 @ X4 )
!= ( s @ X6 @ X4 ) )
| ( X2 = X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl522]) ).
thf(zip_derived_cl524,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( s @ X2 @ X4 )
!= ( s @ X6 @ X4 ) )
| ( X2 = X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl523]) ).
thf(zip_derived_cl525,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( s @ X2 @ X4 )
!= ( s @ X6 @ X4 ) )
| ( X2 = X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl524]) ).
thf(zip_derived_cl528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( s @ X2 @ ( s @ X1 @ X0 ) ) )
| ( X1 = X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl525]) ).
thf(zip_derived_cl3821,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( s @ X2 @ X0 ) )
| ( ( midpoint @ X1 @ X0 )
= X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl528]) ).
thf(zip_derived_cl3920,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 != X0 )
| ( ( midpoint @ X2 @ X1 )
= ( midpoint @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl485,zip_derived_cl3821]) ).
thf(zip_derived_cl3922,plain,
! [X0: $i,X1: $i] :
( ( midpoint @ X1 @ X0 )
= ( midpoint @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3920]) ).
thf(zip_derived_cl253_002,plain,
( ( reflect @ '#sk1' @ '#sk2' @ '#sk3' )
= '#sk4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl2326,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X2 = X4 )
| ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ ( reflect @ X2 @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2325]) ).
thf(zip_derived_cl2328,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X2 = X4 )
| ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ ( reflect @ X2 @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl2326]) ).
thf(zip_derived_cl2330,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X2 = X4 )
| ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ ( reflect @ X2 @ X4 @ X6 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2328]) ).
thf(zip_derived_cl2346,plain,
( ( '#sk1' = '#sk2' )
| ( s_col @ '#sk1' @ '#sk2' @ ( midpoint @ '#sk3' @ '#sk4' ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl253,zip_derived_cl2330]) ).
thf(zip_derived_cl252_003,plain,
'#sk1' != '#sk2',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl249]) ).
thf(zip_derived_cl2347,plain,
s_col @ '#sk1' @ '#sk2' @ ( midpoint @ '#sk3' @ '#sk4' ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2346,zip_derived_cl252]) ).
thf(zip_derived_cl3986,plain,
s_col @ '#sk1' @ '#sk2' @ ( midpoint @ '#sk4' @ '#sk3' ),
inference('s_sup+',[status(thm)],[zip_derived_cl3922,zip_derived_cl2347]) ).
thf(aSatz10_2b,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) )
| ~ ( perp @ Xa @ Xb @ Xp @ Xp1 )
| ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) ) )
& ( ( Xa = Xb )
| ~ ( s_col @ Xa @ Xb @ ( midpoint @ Xp @ Xp1 ) )
| ( Xp != Xp1 )
| ( Xp1
= ( reflect @ Xa @ Xb @ Xp ) ) ) ) ).
thf(zip_derived_cl184,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 = Y1 )
| ( (~) @ ( s_col @ Y0 @ Y1 @ ( midpoint @ Y2 @ Y3 ) ) )
| ( (~) @ ( perp @ Y0 @ Y1 @ Y2 @ Y3 ) )
| ( Y3
= ( reflect @ Y0 @ Y1 @ Y2 ) ) )
& ( ( Y0 = Y1 )
| ( (~) @ ( s_col @ Y0 @ Y1 @ ( midpoint @ Y2 @ Y3 ) ) )
| ( Y2 != Y3 )
| ( Y3
= ( reflect @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[aSatz10_2b]) ).
thf(zip_derived_cl3251,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( X2 = Y0 )
| ( (~) @ ( s_col @ X2 @ Y0 @ ( midpoint @ Y1 @ Y2 ) ) )
| ( (~) @ ( perp @ X2 @ Y0 @ Y1 @ Y2 ) )
| ( Y2
= ( reflect @ X2 @ Y0 @ Y1 ) ) )
& ( ( X2 = Y0 )
| ( (~) @ ( s_col @ X2 @ Y0 @ ( midpoint @ Y1 @ Y2 ) ) )
| ( Y1 != Y2 )
| ( Y2
= ( reflect @ X2 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl3252,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( X2 = X4 )
| ( (~) @ ( s_col @ X2 @ X4 @ ( midpoint @ Y0 @ Y1 ) ) )
| ( (~) @ ( perp @ X2 @ X4 @ Y0 @ Y1 ) )
| ( Y1
= ( reflect @ X2 @ X4 @ Y0 ) ) )
& ( ( X2 = X4 )
| ( (~) @ ( s_col @ X2 @ X4 @ ( midpoint @ Y0 @ Y1 ) ) )
| ( Y0 != Y1 )
| ( Y1
= ( reflect @ X2 @ X4 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3251]) ).
thf(zip_derived_cl3253,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( X2 = X4 )
| ( (~) @ ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ Y0 ) ) )
| ( (~) @ ( perp @ X2 @ X4 @ X6 @ Y0 ) )
| ( Y0
= ( reflect @ X2 @ X4 @ X6 ) ) )
& ( ( X2 = X4 )
| ( (~) @ ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ Y0 ) ) )
| ( X6 != Y0 )
| ( Y0
= ( reflect @ X2 @ X4 @ X6 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3252]) ).
thf(zip_derived_cl3254,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( X2 = X4 )
| ( (~) @ ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ X8 ) ) )
| ( (~) @ ( perp @ X2 @ X4 @ X6 @ X8 ) )
| ( X8
= ( reflect @ X2 @ X4 @ X6 ) ) )
& ( ( X2 = X4 )
| ( (~) @ ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ X8 ) ) )
| ( X6 != X8 )
| ( X8
= ( reflect @ X2 @ X4 @ X6 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3253]) ).
thf(zip_derived_cl3255,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( X2 = X4 )
| ( (~) @ ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ X8 ) ) )
| ( (~) @ ( perp @ X2 @ X4 @ X6 @ X8 ) )
| ( X8
= ( reflect @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3254]) ).
thf(zip_derived_cl3257,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( X2 = X4 )
| ~ ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ X8 ) )
| ~ ( perp @ X2 @ X4 @ X6 @ X8 )
| ( X8
= ( reflect @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3255]) ).
thf(zip_derived_cl3259,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( X2 = X4 )
| ~ ( s_col @ X2 @ X4 @ ( midpoint @ X6 @ X8 ) )
| ~ ( perp @ X2 @ X4 @ X6 @ X8 )
| ( X8
= ( reflect @ X2 @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3257]) ).
thf(zip_derived_cl4048,plain,
( ( '#sk1' = '#sk2' )
| ~ ( perp @ '#sk1' @ '#sk2' @ '#sk4' @ '#sk3' )
| ( '#sk3'
= ( reflect @ '#sk1' @ '#sk2' @ '#sk4' ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3986,zip_derived_cl3259]) ).
thf(zip_derived_cl251,plain,
( ( reflect @ '#sk1' @ '#sk2' @ '#sk4' )
!= '#sk3' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl248]) ).
thf(zip_derived_cl254,plain,
( ( reflect @ '#sk1' @ '#sk2' @ '#sk4' )
!= '#sk3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl252_004,plain,
'#sk1' != '#sk2',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl249]) ).
thf(zip_derived_cl4060,plain,
~ ( perp @ '#sk1' @ '#sk2' @ '#sk4' @ '#sk3' ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4048,zip_derived_cl254,zip_derived_cl252]) ).
thf(zip_derived_cl45779,plain,
'#sk3' = '#sk4',
inference(clc,[status(thm)],[zip_derived_cl45635,zip_derived_cl4060]) ).
thf(zip_derived_cl45779_005,plain,
'#sk3' = '#sk4',
inference(clc,[status(thm)],[zip_derived_cl45635,zip_derived_cl4060]) ).
thf(zip_derived_cl254_006,plain,
( ( reflect @ '#sk1' @ '#sk2' @ '#sk4' )
!= '#sk3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl45780,plain,
( ( reflect @ '#sk1' @ '#sk2' @ '#sk3' )
!= '#sk3' ),
inference('s_sup-',[status(thm)],[zip_derived_cl45779,zip_derived_cl254]) ).
thf(zip_derived_cl253_007,plain,
( ( reflect @ '#sk1' @ '#sk2' @ '#sk3' )
= '#sk4' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl48582,plain,
'#sk4' != '#sk3',
inference(demod,[status(thm)],[zip_derived_cl45780,zip_derived_cl253]) ).
thf(zip_derived_cl51665,plain,
'#sk3' != '#sk3',
inference('s_sup-',[status(thm)],[zip_derived_cl45779,zip_derived_cl48582]) ).
thf(zip_derived_cl51667,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl51665]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO523+1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2qJy7bwyv7 true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 19:26:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 99.72/14.94 % Solved by fo/fo1_lcnf.sh.
% 99.72/14.94 % done 7311 iterations in 14.127s
% 99.72/14.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 99.72/14.94 % SZS output start Refutation
% See solution above
% 99.72/14.94
% 99.72/14.94
% 99.72/14.94 % Terminating...
% 99.72/14.99 % Runner terminated.
% 99.72/15.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------