TSTP Solution File: SEU244+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU244+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8tVrFk7pvz true
% Computer : n031.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 : Thu Aug 31 19:11:34 EDT 2023
% Result : Theorem 0.21s 0.73s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 87 ( 6 unt; 15 typ; 0 def)
% Number of atoms : 324 ( 16 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 990 ( 227 ~; 226 |; 8 &; 511 @)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 2 con; 0-2 aty)
% Number of variables : 75 ( 0 ^; 75 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(is_antisymmetric_in_type,type,
is_antisymmetric_in: $i > $i > $o ).
thf(transitive_type,type,
transitive: $i > $o ).
thf(well_founded_relation_type,type,
well_founded_relation: $i > $o ).
thf(is_well_founded_in_type,type,
is_well_founded_in: $i > $i > $o ).
thf(well_ordering_type,type,
well_ordering: $i > $o ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(is_transitive_in_type,type,
is_transitive_in: $i > $i > $o ).
thf(is_reflexive_in_type,type,
is_reflexive_in: $i > $i > $o ).
thf(well_orders_type,type,
well_orders: $i > $i > $o ).
thf(connected_type,type,
connected: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(is_connected_in_type,type,
is_connected_in: $i > $i > $o ).
thf(d4_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( well_ordering @ A )
<=> ( ( reflexive @ A )
& ( transitive @ A )
& ( antisymmetric @ A )
& ( connected @ A )
& ( well_founded_relation @ A ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(d12_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( antisymmetric @ A )
<=> ( is_antisymmetric_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( antisymmetric @ X0 )
| ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
thf(zip_derived_cl194,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 )
| ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).
thf(d9_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( reflexive @ A )
<=> ( is_reflexive_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ~ ( reflexive @ X0 )
| ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
thf(d14_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( connected @ A )
<=> ( is_connected_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( connected @ X0 )
| ( is_connected_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d14_relat_2]) ).
thf(d5_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( well_orders @ A @ B )
<=> ( ( is_reflexive_in @ A @ B )
& ( is_transitive_in @ A @ B )
& ( is_antisymmetric_in @ A @ B )
& ( is_connected_in @ A @ B )
& ( is_well_founded_in @ A @ B ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( is_reflexive_in @ X0 @ X1 )
| ~ ( is_transitive_in @ X0 @ X1 )
| ~ ( is_antisymmetric_in @ X0 @ X1 )
| ~ ( is_connected_in @ X0 @ X1 )
| ~ ( is_well_founded_in @ X0 @ X1 )
| ( well_orders @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl199,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( connected @ X0 )
| ~ ( relation @ X0 )
| ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).
thf(zip_derived_cl213,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( relation_field @ X0 )
!= ( relation_field @ X1 ) )
| ~ ( relation @ X0 )
| ~ ( reflexive @ X0 )
| ~ ( is_transitive_in @ X1 @ ( relation_field @ X1 ) )
| ~ ( is_antisymmetric_in @ X1 @ ( relation_field @ X1 ) )
| ~ ( is_well_founded_in @ X1 @ ( relation_field @ X1 ) )
| ( well_orders @ X1 @ ( relation_field @ X1 ) )
| ~ ( relation @ X1 )
| ~ ( connected @ X1 )
| ~ ( relation @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl199]) ).
thf(zip_derived_cl222,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != X2 )
| ( ( relation_field @ X0 )
!= ( relation_field @ X2 ) )
| ~ ( relation @ X0 )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 )
| ~ ( relation @ X2 )
| ~ ( connected @ X2 )
| ~ ( relation @ X2 )
| ( well_orders @ X2 @ ( relation_field @ X2 ) )
| ~ ( is_well_founded_in @ X2 @ ( relation_field @ X2 ) )
| ~ ( is_transitive_in @ X2 @ ( relation_field @ X2 ) )
| ~ ( reflexive @ X1 )
| ~ ( relation @ X1 )
| ( ( relation_field @ X1 )
!= ( relation_field @ X2 ) )
| ( X1 != X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl194,zip_derived_cl213]) ).
thf(zip_derived_cl298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X2 )
| ( ( relation_field @ X1 )
!= ( relation_field @ X2 ) )
| ~ ( relation @ X1 )
| ~ ( reflexive @ X1 )
| ~ ( is_transitive_in @ X2 @ ( relation_field @ X2 ) )
| ~ ( is_well_founded_in @ X2 @ ( relation_field @ X2 ) )
| ( well_orders @ X2 @ ( relation_field @ X2 ) )
| ~ ( connected @ X2 )
| ~ ( relation @ X2 )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 )
| ( ( relation_field @ X0 )
!= ( relation_field @ X2 ) )
| ( X0 != X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl299,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( relation_field @ X0 )
!= ( relation_field @ X1 ) )
| ~ ( relation @ X0 )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X1 )
| ~ ( connected @ X1 )
| ( well_orders @ X1 @ ( relation_field @ X1 ) )
| ~ ( is_well_founded_in @ X1 @ ( relation_field @ X1 ) )
| ~ ( is_transitive_in @ X1 @ ( relation_field @ X1 ) )
| ~ ( reflexive @ X1 )
| ~ ( relation @ X1 )
| ( ( relation_field @ X1 )
!= ( relation_field @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl298]) ).
thf(zip_derived_cl300,plain,
! [X0: $i,X1: $i] :
( ~ ( reflexive @ X1 )
| ~ ( is_transitive_in @ X1 @ ( relation_field @ X1 ) )
| ~ ( is_well_founded_in @ X1 @ ( relation_field @ X1 ) )
| ( well_orders @ X1 @ ( relation_field @ X1 ) )
| ~ ( connected @ X1 )
| ~ ( relation @ X1 )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 )
| ( ( relation_field @ X0 )
!= ( relation_field @ X1 ) )
| ( X0 != X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl301,plain,
! [X0: $i] :
( ( ( relation_field @ X0 )
!= ( relation_field @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 )
| ~ ( connected @ X0 )
| ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( reflexive @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl300]) ).
thf(zip_derived_cl302,plain,
! [X0: $i] :
( ~ ( reflexive @ X0 )
| ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( connected @ X0 )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl303,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_ordering @ X0 )
| ~ ( connected @ X0 )
| ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl302,zip_derived_cl12]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( connected @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl304,plain,
! [X0: $i] :
( ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl303,zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(d16_relat_2,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( transitive @ A )
<=> ( is_transitive_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ~ ( transitive @ X0 )
| ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d16_relat_2]) ).
thf(zip_derived_cl204,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 )
| ( is_transitive_in @ X0 @ ( relation_field @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).
thf(zip_derived_cl286,plain,
! [X0: $i] :
( ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl305,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_ordering @ X0 )
| ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl304,zip_derived_cl286]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( well_founded_relation @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(t5_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( well_founded_relation @ A )
<=> ( is_well_founded_in @ A @ ( relation_field @ A ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ~ ( well_founded_relation @ X0 )
| ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t5_wellord1]) ).
thf(zip_derived_cl214,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 )
| ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl28]) ).
thf(zip_derived_cl287,plain,
! [X0: $i] :
( ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl214]) ).
thf(zip_derived_cl306,plain,
! [X0: $i] :
( ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( well_ordering @ X0 )
| ~ ( relation @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl305,zip_derived_cl287]) ).
thf(t8_wellord1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ( ( well_orders @ A @ ( relation_field @ A ) )
<=> ( well_ordering @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ( ( well_orders @ A @ ( relation_field @ A ) )
<=> ( well_ordering @ A ) ) ),
inference('cnf.neg',[status(esa)],[t8_wellord1]) ).
thf(zip_derived_cl30,plain,
( ~ ( well_ordering @ sk_ )
| ~ ( well_orders @ sk_ @ ( relation_field @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
( ( well_ordering @ sk_ )
| ( well_orders @ sk_ @ ( relation_field @ sk_ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_antisymmetric_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl27,plain,
! [X0: $i] :
( ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ( well_founded_relation @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t5_wellord1]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d16_relat_2]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ~ ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d12_relat_2]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ~ ( reflexive @ X0 )
| ~ ( transitive @ X0 )
| ~ ( antisymmetric @ X0 )
| ~ ( connected @ X0 )
| ~ ( well_founded_relation @ X0 )
| ( well_ordering @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 )
| ( well_ordering @ X0 )
| ~ ( well_founded_relation @ X0 )
| ~ ( connected @ X0 )
| ~ ( transitive @ X0 )
| ~ ( reflexive @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).
thf(zip_derived_cl203,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( reflexive @ X0 )
| ~ ( connected @ X0 )
| ~ ( well_founded_relation @ X0 )
| ( well_ordering @ X0 )
| ~ ( relation @ X0 )
| ~ ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl193]) ).
thf(zip_derived_cl217,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( is_antisymmetric_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 )
| ( well_ordering @ X0 )
| ~ ( connected @ X0 )
| ~ ( reflexive @ X0 )
| ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl203]) ).
thf(zip_derived_cl219,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( reflexive @ X0 )
| ~ ( connected @ X0 )
| ( well_ordering @ X0 )
| ~ ( relation @ X0 )
| ~ ( relation @ X0 )
| ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl217]) ).
thf(zip_derived_cl288,plain,
! [X0: $i] :
( ~ ( is_well_founded_in @ X0 @ ( relation_field @ X0 ) )
| ( well_ordering @ X0 )
| ~ ( connected @ X0 )
| ~ ( reflexive @ X0 )
| ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_well_founded_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl289,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( is_transitive_in @ X0 @ ( relation_field @ X0 ) )
| ~ ( reflexive @ X0 )
| ~ ( connected @ X0 )
| ( well_ordering @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl288,zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_transitive_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl290,plain,
! [X0: $i] :
( ( well_ordering @ X0 )
| ~ ( connected @ X0 )
| ~ ( reflexive @ X0 )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl289,zip_derived_cl17]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_connected_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( is_connected_in @ X0 @ ( relation_field @ X0 ) )
| ( connected @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d14_relat_2]) ).
thf(zip_derived_cl200,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 )
| ( connected @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl280,plain,
! [X0: $i] :
( ( connected @ X0 )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl291,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( reflexive @ X0 )
| ( well_ordering @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl290,zip_derived_cl280]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ~ ( well_orders @ X0 @ X1 )
| ( is_reflexive_in @ X0 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_wellord1]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ~ ( is_reflexive_in @ X0 @ ( relation_field @ X0 ) )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d9_relat_2]) ).
thf(zip_derived_cl206,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 )
| ( reflexive @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl20]) ).
thf(zip_derived_cl283,plain,
! [X0: $i] :
( ( reflexive @ X0 )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl292,plain,
! [X0: $i] :
( ( well_ordering @ X0 )
| ~ ( well_orders @ X0 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl291,zip_derived_cl283]) ).
thf(zip_derived_cl293,plain,
( ( well_ordering @ sk_ )
| ( well_ordering @ sk_ )
| ~ ( relation @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl292]) ).
thf(zip_derived_cl29,plain,
relation @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl294,plain,
( ( well_ordering @ sk_ )
| ( well_ordering @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl29]) ).
thf(zip_derived_cl295,plain,
well_ordering @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl296,plain,
~ ( well_orders @ sk_ @ ( relation_field @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl295]) ).
thf(zip_derived_cl310,plain,
( ~ ( relation @ sk_ )
| ~ ( well_ordering @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl296]) ).
thf(zip_derived_cl29_001,plain,
relation @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl295_002,plain,
well_ordering @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl314,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl29,zip_derived_cl295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU244+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8tVrFk7pvz true
% 0.14/0.35 % Computer : n031.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 : Thu Aug 24 00:21:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % Solved by fo/fo6_bce.sh.
% 0.21/0.73 % BCE start: 32
% 0.21/0.73 % BCE eliminated: 0
% 0.21/0.73 % PE start: 32
% 0.21/0.73 logic: eq
% 0.21/0.73 % PE eliminated: 9
% 0.21/0.73 % done 28 iterations in 0.022s
% 0.21/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.73 % SZS output start Refutation
% See solution above
% 0.21/0.73
% 0.21/0.73
% 0.21/0.73 % Terminating...
% 0.21/0.75 % Runner terminated.
% 0.21/0.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------