TSTP Solution File: SEU280+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU280+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.g5DdRUXR7X true
% Computer : n013.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 19:11:48 EDT 2023
% Result : Theorem 0.87s 0.87s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 28
% Syntax : Number of formulae : 125 ( 17 unt; 19 typ; 0 def)
% Number of atoms : 247 ( 19 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1019 ( 69 ~; 113 |; 14 &; 809 @)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 160 ( 0 ^; 154 !; 6 ?; 160 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__type,type,
sk_: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(s1_xboole_0__e6_22__wellord2,conjecture,
! [A: $i] :
? [B: $i] :
! [C: $i] :
( ( in @ C @ B )
<=> ( ( in @ C @ A )
& ( ordinal @ C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
? [B: $i] :
! [C: $i] :
( ( in @ C @ B )
<=> ( ( in @ C @ A )
& ( ordinal @ C ) ) ),
inference('cnf.neg',[status(esa)],[s1_xboole_0__e6_22__wellord2]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ sk_ )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(s1_tarski__e6_22__wellord2__1,axiom,
! [A: $i] :
( ! [B: $i,C: $i,D: $i] :
( ( ( ordinal @ D )
& ( B = D )
& ( ordinal @ C )
& ( B = C ) )
=> ( C = D ) )
=> ? [B: $i] :
! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( in @ D @ A )
& ( D = C )
& ( ordinal @ C ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [D: $i,C: $i,A: $i] :
( ( zip_tseitin_2 @ D @ C @ A )
<=> ( ( ordinal @ C )
& ( D = C )
& ( in @ D @ A ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ~ ( in @ X0 @ X2 )
| ( X0 != X1 )
| ~ ( ordinal @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ~ ( in @ X0 @ X1 )
| ( zip_tseitin_2 @ X0 @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( zip_tseitin_2 @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) @ sk_ )
| ~ ( ordinal @ ( sk__1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl45]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ X0 ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) @ sk_ )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl49,zip_derived_cl1]) ).
thf(zf_stmt_2,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [C: $i,B: $i,A: $i] :
( ( zip_tseitin_3 @ C @ B @ A )
=> ( ( in @ C @ B )
<=> ? [D: $i] : ( zip_tseitin_2 @ D @ C @ A ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_5,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [D: $i,C: $i,B: $i] :
( ( ( zip_tseitin_0 @ D @ C @ B )
=> ( C = D ) )
=> ( zip_tseitin_1 @ D @ C @ B ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [D: $i,C: $i,B: $i] :
( ( zip_tseitin_0 @ D @ C @ B )
=> ( ( B = C )
& ( ordinal @ C )
& ( B = D )
& ( ordinal @ D ) ) ) ).
thf(zf_stmt_9,axiom,
! [A: $i] :
( ! [B: $i,C: $i,D: $i] : ( zip_tseitin_1 @ D @ C @ B )
=> ? [B: $i] :
! [C: $i] : ( zip_tseitin_3 @ C @ B @ A ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_3 @ X0 @ ( sk__7 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl73_001,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) @ sk_ )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl49,zip_derived_cl1]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl22_002,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_3 @ X0 @ ( sk__7 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_3 @ X1 @ ( sk__7 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl22]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_2 @ ( sk__3 @ X2 @ X0 ) @ X0 @ X2 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_2 @ ( sk__3 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl21]) ).
thf(zip_derived_cl80,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl58]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl103,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) )
= ( sk__1 @ ( sk__7 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl17]) ).
thf(zip_derived_cl80_003,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl58]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( in @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl18]) ).
thf(zip_derived_cl142,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference('sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl104]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl80_004,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl58]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ordinal @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( ordinal @ ( sk__1 @ ( sk__7 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl16]) ).
thf(zip_derived_cl16_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ordinal @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ ( sk__7 @ X0 ) ) )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl102,zip_derived_cl16]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( ordinal @ ( sk__1 @ X0 ) )
| ~ ( in @ ( sk__1 @ X0 ) @ sk_ )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ~ ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__7 @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl2]) ).
thf(zip_derived_cl148,plain,
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ~ ( in @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__7 @ sk_ ) )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl109]) ).
thf(zip_derived_cl150,plain,
( ~ ( in @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__7 @ sk_ ) )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl73_006,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) @ sk_ )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl49,zip_derived_cl1]) ).
thf(zip_derived_cl151,plain,
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl73]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ( in @ X1 @ X3 )
| ~ ( zip_tseitin_3 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl155,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ~ ( zip_tseitin_3 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ X0 @ sk_ )
| ( in @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl20]) ).
thf(zip_derived_cl151_007,plain,
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ sk_ )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl150,zip_derived_cl73]) ).
thf(zip_derived_cl18_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl154,plain,
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( in @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl18]) ).
thf(zip_derived_cl109_009,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ~ ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__7 @ X0 ) )
| ~ ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl2]) ).
thf(zip_derived_cl158,plain,
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ~ ( in @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__7 @ sk_ ) )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl109]) ).
thf(zip_derived_cl159,plain,
( ~ ( in @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__7 @ sk_ ) )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl158]) ).
thf(zip_derived_cl179,plain,
( ~ ( zip_tseitin_3 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__7 @ sk_ ) @ sk_ )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl159]) ).
thf(zip_derived_cl180,plain,
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ~ ( zip_tseitin_3 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__7 @ sk_ ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl179]) ).
thf(zip_derived_cl50_010,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4 )
| ( zip_tseitin_3 @ X1 @ ( sk__7 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl22]) ).
thf(zip_derived_cl181,plain,
zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl180,zip_derived_cl50]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl182,plain,
sk__4 = sk__5,
inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl10]) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ sk__6 @ sk__4 @ sk__4 )
| ( zip_tseitin_3 @ X0 @ ( sk__7 @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl182]) ).
thf(zip_derived_cl181_011,plain,
zip_tseitin_0 @ sk__6 @ sk__5 @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl180,zip_derived_cl50]) ).
thf(zip_derived_cl182_012,plain,
sk__4 = sk__5,
inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl10]) ).
thf(zip_derived_cl187,plain,
zip_tseitin_0 @ sk__6 @ sk__4 @ sk__4,
inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl182]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl191,plain,
sk__4 = sk__6,
inference('sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_1 @ X1 @ X1 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl193,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_3 @ X0 @ ( sk__7 @ X1 ) @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl191,zip_derived_cl24]) ).
thf(zip_derived_cl21_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_2 @ ( sk__3 @ X2 @ X0 ) @ X0 @ X2 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ ( sk__3 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl21]) ).
thf(zip_derived_cl200,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl195]) ).
thf(zip_derived_cl17_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl280,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) )
= ( sk__1 @ ( sk__7 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl17]) ).
thf(zip_derived_cl200_015,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl195]) ).
thf(zip_derived_cl284,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl280,zip_derived_cl200]) ).
thf(zip_derived_cl285,plain,
! [X0: $i] :
( ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ( zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl284]) ).
thf(zip_derived_cl307,plain,
zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ sk_,
inference(eq_fact,[status(thm)],[zip_derived_cl285]) ).
thf(zip_derived_cl20_016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ( in @ X1 @ X3 )
| ~ ( zip_tseitin_3 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl314,plain,
! [X0: $i] :
( ~ ( zip_tseitin_3 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ X0 @ sk_ )
| ( in @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl20]) ).
thf(zip_derived_cl307_017,plain,
zip_tseitin_2 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ sk_,
inference(eq_fact,[status(thm)],[zip_derived_cl285]) ).
thf(zip_derived_cl18_018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl313,plain,
in @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ sk_,
inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl18]) ).
thf(zip_derived_cl1_019,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ X0 ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(cc1_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( epsilon_transitive @ ( sk__1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
thf(zip_derived_cl195_020,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ ( sk__3 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl21]) ).
thf(zip_derived_cl197,plain,
! [X0: $i] :
( ( epsilon_transitive @ ( sk__1 @ ( sk__7 @ X0 ) ) )
| ( zip_tseitin_2 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl195]) ).
thf(zip_derived_cl16_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ordinal @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl212,plain,
! [X0: $i] :
( ( epsilon_transitive @ ( sk__1 @ ( sk__7 @ X0 ) ) )
| ( ordinal @ ( sk__1 @ ( sk__7 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl197,zip_derived_cl16]) ).
thf(zip_derived_cl8_022,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl216,plain,
! [X0: $i] : ( epsilon_transitive @ ( sk__1 @ ( sk__7 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl212,zip_derived_cl8]) ).
thf(cc2_ordinal1,axiom,
! [A: $i] :
( ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A ) )
=> ( ordinal @ A ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( epsilon_connected @ X0 )
| ~ ( epsilon_transitive @ X0 ) ),
inference(cnf,[status(esa)],[cc2_ordinal1]) ).
thf(zip_derived_cl2_023,plain,
! [X0: $i] :
( ~ ( ordinal @ ( sk__1 @ X0 ) )
| ~ ( in @ ( sk__1 @ X0 ) @ sk_ )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ~ ( epsilon_transitive @ ( sk__1 @ X0 ) )
| ~ ( epsilon_connected @ ( sk__1 @ X0 ) )
| ~ ( in @ ( sk__1 @ X0 ) @ X0 )
| ~ ( in @ ( sk__1 @ X0 ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl217,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ~ ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__7 @ X0 ) )
| ~ ( epsilon_connected @ ( sk__1 @ ( sk__7 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl216,zip_derived_cl31]) ).
thf(zip_derived_cl1_024,plain,
! [X0: $i] :
( ( ordinal @ ( sk__1 @ X0 ) )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( epsilon_connected @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ X0 )
| ( epsilon_connected @ ( sk__1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl9]) ).
thf(zip_derived_cl195_025,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ ( sk__3 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl21]) ).
thf(zip_derived_cl198,plain,
! [X0: $i] :
( ( epsilon_connected @ ( sk__1 @ ( sk__7 @ X0 ) ) )
| ( zip_tseitin_2 @ ( sk__3 @ X0 @ ( sk__1 @ ( sk__7 @ X0 ) ) ) @ ( sk__1 @ ( sk__7 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl195]) ).
thf(zip_derived_cl16_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ordinal @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ( epsilon_connected @ ( sk__1 @ ( sk__7 @ X0 ) ) )
| ( ordinal @ ( sk__1 @ ( sk__7 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl16]) ).
thf(zip_derived_cl9_027,plain,
! [X0: $i] :
( ( epsilon_connected @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl224,plain,
! [X0: $i] : ( epsilon_connected @ ( sk__1 @ ( sk__7 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl220,zip_derived_cl9]) ).
thf(zip_derived_cl225,plain,
! [X0: $i] :
( ~ ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ sk_ )
| ~ ( in @ ( sk__1 @ ( sk__7 @ X0 ) ) @ ( sk__7 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl224]) ).
thf(zip_derived_cl317,plain,
~ ( in @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__7 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl225]) ).
thf(zip_derived_cl345,plain,
~ ( zip_tseitin_3 @ ( sk__1 @ ( sk__7 @ sk_ ) ) @ ( sk__7 @ sk_ ) @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl317]) ).
thf(zip_derived_cl193_028,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_3 @ X0 @ ( sk__7 @ X1 ) @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl186,zip_derived_cl191,zip_derived_cl24]) ).
thf(zip_derived_cl347,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU280+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g5DdRUXR7X true
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 19:49:17 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
% 0.14/0.35 % Running in FO mode
% 0.20/0.68 % Total configuration time : 435
% 0.20/0.68 % Estimated wc time : 1092
% 0.20/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.87/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.87/0.87 % Solved by fo/fo7.sh.
% 0.87/0.87 % done 184 iterations in 0.073s
% 0.87/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.87/0.87 % SZS output start Refutation
% See solution above
% 0.87/0.87
% 0.87/0.87
% 0.87/0.87 % Terminating...
% 1.72/0.97 % Runner terminated.
% 1.72/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------