TSTP Solution File: SEU027+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ta85BDiN8V true
% Computer : n003.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 19:10:15 EDT 2023
% Result : Theorem 13.03s 2.55s
% Output : Refutation 13.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 28
% Syntax : Number of formulae : 157 ( 50 unt; 20 typ; 0 def)
% Number of atoms : 490 ( 183 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1863 ( 243 ~; 294 |; 30 &;1267 @)
% ( 10 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 173 ( 0 ^; 172 !; 1 ?; 173 :)
% Comments :
%------------------------------------------------------------------------------
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(function_inverse_type,type,
function_inverse: $i > $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(function_type,type,
function: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__14_type,type,
sk__14: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__15_type,type,
sk__15: $i > $i > $i ).
thf(t60_funct_1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( one_to_one @ A )
& ( ( relation_dom @ A )
= ( relation_rng @ B ) )
& ( ( relation_rng @ A )
= ( relation_dom @ B ) )
& ! [C: $i,D: $i] :
( ( ( in @ C @ ( relation_dom @ A ) )
& ( in @ D @ ( relation_dom @ B ) ) )
=> ( ( ( apply @ A @ C )
= D )
<=> ( ( apply @ B @ D )
= C ) ) ) )
=> ( B
= ( function_inverse @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( one_to_one @ A )
& ( ( relation_dom @ A )
= ( relation_rng @ B ) )
& ( ( relation_rng @ A )
= ( relation_dom @ B ) )
& ! [C: $i,D: $i] :
( ( ( in @ C @ ( relation_dom @ A ) )
& ( in @ D @ ( relation_dom @ B ) ) )
=> ( ( ( apply @ A @ C )
= D )
<=> ( ( apply @ B @ D )
= C ) ) ) )
=> ( B
= ( function_inverse @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t60_funct_1]) ).
thf(zip_derived_cl77,plain,
( ( relation_rng @ sk__16 )
= ( relation_dom @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t54_funct_1,axiom,
! [A: $i] :
( ( ( function @ A )
& ( relation @ A ) )
=> ( ( one_to_one @ A )
=> ! [B: $i] :
( ( ( function @ B )
& ( relation @ B ) )
=> ( ( B
= ( function_inverse @ A ) )
<=> ( ! [C: $i,D: $i] :
( ( ( ( D
= ( apply @ B @ C ) )
& ( in @ C @ ( relation_rng @ A ) ) )
=> ( ( C
= ( apply @ A @ D ) )
& ( in @ D @ ( relation_dom @ A ) ) ) )
& ( ( ( C
= ( apply @ A @ D ) )
& ( in @ D @ ( relation_dom @ A ) ) )
=> ( ( D
= ( apply @ B @ C ) )
& ( in @ C @ ( relation_rng @ A ) ) ) ) )
& ( ( relation_dom @ B )
= ( relation_rng @ A ) ) ) ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_3 @ D @ C @ B @ A )
<=> ( ( zip_tseitin_2 @ D @ C @ A )
=> ( ( in @ C @ ( relation_rng @ A ) )
& ( D
= ( apply @ B @ C ) ) ) ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X1 @ ( relation_rng @ X3 ) )
| ( X0
!= ( apply @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_1 @ D @ C @ B @ A )
<=> ( ( zip_tseitin_0 @ D @ C @ B @ A )
=> ( ( in @ D @ ( relation_dom @ A ) )
& ( C
= ( apply @ A @ D ) ) ) ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ~ ( in @ X0 @ ( relation_dom @ X3 ) )
| ( X1
!= ( apply @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zf_stmt_3,type,
zip_tseitin_3: $i > $i > $i > $i > $o ).
thf(zf_stmt_4,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [D: $i,C: $i,A: $i] :
( ( zip_tseitin_2 @ D @ C @ A )
<=> ( ( in @ D @ ( relation_dom @ A ) )
& ( C
= ( apply @ A @ D ) ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_7,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ D @ C @ B @ A )
<=> ( ( in @ C @ ( relation_rng @ A ) )
& ( D
= ( apply @ B @ C ) ) ) ) ).
thf(zf_stmt_9,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( B
= ( function_inverse @ A ) )
<=> ( ( ( relation_dom @ B )
= ( relation_rng @ A ) )
& ! [C: $i,D: $i] :
( ( zip_tseitin_3 @ D @ C @ B @ A )
& ( zip_tseitin_1 @ D @ C @ B @ A ) ) ) ) ) ) ) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i] :
( ~ ( one_to_one @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ~ ( zip_tseitin_3 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl487,plain,
! [X0: $i,X1: $i] :
( ( ( sk__14 @ X1 @ X0 )
!= ( apply @ X0 @ ( sk__15 @ X1 @ X0 ) ) )
| ~ ( in @ ( sk__15 @ X1 @ X0 ) @ ( relation_dom @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( zip_tseitin_3 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ~ ( one_to_one @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl59,zip_derived_cl71]) ).
thf(zip_derived_cl501,plain,
! [X0: $i,X1: $i] :
( ( ( sk__15 @ X1 @ X0 )
!= ( apply @ X1 @ ( sk__14 @ X1 @ X0 ) ) )
| ~ ( in @ ( sk__14 @ X1 @ X0 ) @ ( relation_rng @ X0 ) )
| ~ ( one_to_one @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ~ ( in @ ( sk__15 @ X1 @ X0 ) @ ( relation_dom @ X0 ) )
| ( ( sk__14 @ X1 @ X0 )
!= ( apply @ X0 @ ( sk__15 @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl66,zip_derived_cl487]) ).
thf(zip_derived_cl1098,plain,
! [X0: $i] :
( ( ( sk__15 @ X0 @ sk__16 )
!= ( apply @ X0 @ ( sk__14 @ X0 @ sk__16 ) ) )
| ~ ( in @ ( sk__14 @ X0 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ~ ( one_to_one @ sk__16 )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 )
| ~ ( in @ ( sk__15 @ X0 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ( ( sk__14 @ X0 @ sk__16 )
!= ( apply @ sk__16 @ ( sk__15 @ X0 @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl501]) ).
thf(zip_derived_cl75,plain,
one_to_one @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1100,plain,
! [X0: $i] :
( ( ( sk__15 @ X0 @ sk__16 )
!= ( apply @ X0 @ ( sk__14 @ X0 @ sk__16 ) ) )
| ~ ( in @ ( sk__14 @ X0 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ~ ( in @ ( sk__15 @ X0 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ( ( sk__14 @ X0 @ sk__16 )
!= ( apply @ sk__16 @ ( sk__15 @ X0 @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1098,zip_derived_cl75,zip_derived_cl74,zip_derived_cl73]) ).
thf(zip_derived_cl2581,plain,
( ( ( sk__14 @ sk__17 @ sk__16 )
!= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) )
| ~ ( in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ( sk__17
= ( function_inverse @ sk__16 ) )
| ~ ( function @ sk__17 )
| ~ ( relation @ sk__17 )
| ~ ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ( ( sk__15 @ sk__17 @ sk__16 )
!= ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1100]) ).
thf(zip_derived_cl81,plain,
function @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82,plain,
relation @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2582,plain,
( ( ( sk__14 @ sk__17 @ sk__16 )
!= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) )
| ~ ( in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ( sk__17
= ( function_inverse @ sk__16 ) )
| ~ ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ( ( sk__15 @ sk__17 @ sk__16 )
!= ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2581,zip_derived_cl81,zip_derived_cl82]) ).
thf(zip_derived_cl80,plain,
( sk__17
!= ( function_inverse @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2583,plain,
( ( ( sk__14 @ sk__17 @ sk__16 )
!= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) )
| ~ ( in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ~ ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ( ( sk__15 @ sk__17 @ sk__16 )
!= ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2582,zip_derived_cl80]) ).
thf(zip_derived_cl77_001,plain,
( ( relation_rng @ sk__16 )
= ( relation_dom @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_2 @ X0 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( apply @ X0 @ X1 ) )
| ~ ( zip_tseitin_2 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X3 @ X2 @ X1 @ X0 )
| ( X2
= ( apply @ X0 @ X3 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl62]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ ( relation_rng @ X1 ) )
| ~ ( zip_tseitin_0 @ X2 @ X0 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X3 @ X2 @ X1 @ X0 )
| ( in @ X2 @ ( relation_rng @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl54]) ).
thf(zip_derived_cl71_002,plain,
! [X0: $i,X1: $i] :
( ~ ( one_to_one @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ~ ( zip_tseitin_3 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl493,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__14 @ X1 @ X0 ) @ ( relation_rng @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( zip_tseitin_3 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ~ ( one_to_one @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl483,zip_derived_cl71]) ).
thf(zip_derived_cl517,plain,
! [X0: $i,X1: $i] :
( ( ( sk__14 @ X1 @ X0 )
= ( apply @ X0 @ ( sk__15 @ X1 @ X0 ) ) )
| ~ ( one_to_one @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( in @ ( sk__14 @ X1 @ X0 ) @ ( relation_rng @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl480,zip_derived_cl493]) ).
thf(zip_derived_cl1210,plain,
! [X0: $i] :
( ( ( sk__14 @ X0 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ X0 @ sk__16 ) ) )
| ~ ( one_to_one @ sk__16 )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 )
| ( in @ ( sk__14 @ X0 @ sk__16 ) @ ( relation_dom @ sk__17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl517]) ).
thf(zip_derived_cl75_003,plain,
one_to_one @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_004,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_005,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1216,plain,
! [X0: $i] :
( ( ( sk__14 @ X0 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ X0 @ sk__16 ) ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ( in @ ( sk__14 @ X0 @ sk__16 ) @ ( relation_dom @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1210,zip_derived_cl75,zip_derived_cl74,zip_derived_cl73]) ).
thf(zip_derived_cl77_006,plain,
( ( relation_rng @ sk__16 )
= ( relation_dom @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl480_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X3 @ X2 @ X1 @ X0 )
| ( X2
= ( apply @ X0 @ X3 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl62]) ).
thf(zip_derived_cl60_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
= ( apply @ X0 @ X1 ) )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_1 @ X3 @ X2 @ X1 @ X0 )
| ( X3
= ( apply @ X1 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl60,zip_derived_cl55]) ).
thf(zip_derived_cl71_009,plain,
! [X0: $i,X1: $i] :
( ~ ( one_to_one @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ~ ( zip_tseitin_3 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl496,plain,
! [X0: $i,X1: $i] :
( ( ( sk__15 @ X1 @ X0 )
= ( apply @ X1 @ ( sk__14 @ X1 @ X0 ) ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( zip_tseitin_3 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ~ ( one_to_one @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl484,zip_derived_cl71]) ).
thf(zip_derived_cl518,plain,
! [X0: $i,X1: $i] :
( ( ( sk__14 @ X1 @ X0 )
= ( apply @ X0 @ ( sk__15 @ X1 @ X0 ) ) )
| ~ ( one_to_one @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( ( sk__15 @ X1 @ X0 )
= ( apply @ X1 @ ( sk__14 @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl480,zip_derived_cl496]) ).
thf(zip_derived_cl1232,plain,
! [X0: $i] :
( ( ( sk__14 @ X0 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ X0 @ sk__16 ) ) )
| ~ ( one_to_one @ sk__16 )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 )
| ( ( sk__15 @ X0 @ sk__16 )
= ( apply @ X0 @ ( sk__14 @ X0 @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl518]) ).
thf(zip_derived_cl75_010,plain,
one_to_one @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_011,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_012,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1234,plain,
! [X0: $i] :
( ( ( sk__14 @ X0 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ X0 @ sk__16 ) ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ( ( sk__15 @ X0 @ sk__16 )
= ( apply @ X0 @ ( sk__14 @ X0 @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1232,zip_derived_cl75,zip_derived_cl74,zip_derived_cl73]) ).
thf(zip_derived_cl2868,plain,
( ( ( sk__15 @ sk__17 @ sk__16 )
= ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) ) )
| ( sk__17
= ( function_inverse @ sk__16 ) )
| ~ ( function @ sk__17 )
| ~ ( relation @ sk__17 )
| ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1234]) ).
thf(zip_derived_cl81_013,plain,
function @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_014,plain,
relation @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2869,plain,
( ( ( sk__15 @ sk__17 @ sk__16 )
= ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) ) )
| ( sk__17
= ( function_inverse @ sk__16 ) )
| ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2868,zip_derived_cl81,zip_derived_cl82]) ).
thf(zip_derived_cl80_015,plain,
( sk__17
!= ( function_inverse @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2870,plain,
( ( ( sk__15 @ sk__17 @ sk__16 )
= ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) ) )
| ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2869,zip_derived_cl80]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__16 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__17 ) )
| ( ( apply @ sk__16 @ X0 )
= X1 )
| ( ( apply @ sk__17 @ X1 )
!= X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76,plain,
( ( relation_dom @ sk__16 )
= ( relation_rng @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( C
= ( apply @ A @ D ) )
& ( in @ D @ ( relation_dom @ A ) ) ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X0 ) )
| ( X2
!= ( apply @ X0 @ X3 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl594,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_dom @ sk__16 ) )
| ( in @ X1 @ X0 )
| ~ ( in @ X2 @ ( relation_dom @ sk__17 ) )
| ( X1
!= ( apply @ sk__17 @ X2 ) )
| ~ ( function @ sk__17 )
| ~ ( relation @ sk__17 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl11]) ).
thf(zip_derived_cl81_016,plain,
function @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_017,plain,
relation @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_dom @ sk__16 ) )
| ( in @ X1 @ X0 )
| ~ ( in @ X2 @ ( relation_dom @ sk__17 ) )
| ( X1
!= ( apply @ sk__17 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl594,zip_derived_cl81,zip_derived_cl82]) ).
thf(zip_derived_cl668,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( apply @ sk__17 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__17 ) )
| ( in @ X0 @ ( relation_dom @ sk__16 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl597]) ).
thf(zip_derived_cl710,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ sk__17 @ X1 )
!= X0 )
| ( ( apply @ sk__16 @ X0 )
= X1 )
| ~ ( in @ X1 @ ( relation_dom @ sk__17 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl668]) ).
thf(zip_derived_cl712,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__17 ) )
| ( ( apply @ sk__16 @ ( apply @ sk__17 @ X0 ) )
= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl710]) ).
thf(zip_derived_cl3206,plain,
( ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) )
| ~ ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ( ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) )
= ( sk__14 @ sk__17 @ sk__16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2870,zip_derived_cl712]) ).
thf(zip_derived_cl3214,plain,
( ~ ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3206]) ).
thf(zip_derived_cl3437,plain,
( ( sk__17
= ( function_inverse @ sk__16 ) )
| ( ( relation_dom @ sk__17 )
!= ( relation_dom @ sk__17 ) )
| ~ ( function @ sk__17 )
| ~ ( relation @ sk__17 )
| ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) )
| ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1216,zip_derived_cl3214]) ).
thf(zip_derived_cl81_018,plain,
function @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_019,plain,
relation @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3448,plain,
( ( sk__17
= ( function_inverse @ sk__16 ) )
| ( ( relation_dom @ sk__17 )
!= ( relation_dom @ sk__17 ) )
| ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) )
| ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3437,zip_derived_cl81,zip_derived_cl82]) ).
thf(zip_derived_cl3449,plain,
( ( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) )
| ( sk__17
= ( function_inverse @ sk__16 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3448]) ).
thf(zip_derived_cl80_020,plain,
( sk__17
!= ( function_inverse @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3450,plain,
( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3449,zip_derived_cl80]) ).
thf(zip_derived_cl3450_021,plain,
( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3449,zip_derived_cl80]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__16 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__17 ) )
| ( ( apply @ sk__17 @ X1 )
= X0 )
| ( ( apply @ sk__16 @ X0 )
!= X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77_022,plain,
( ( relation_rng @ sk__16 )
= ( relation_dom @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11_023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X0 ) )
| ( X2
!= ( apply @ X0 @ X3 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_dom @ sk__17 ) )
| ( in @ X1 @ X0 )
| ~ ( in @ X2 @ ( relation_dom @ sk__16 ) )
| ( X1
!= ( apply @ sk__16 @ X2 ) )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl11]) ).
thf(zip_derived_cl74_024,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_025,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl596,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_dom @ sk__17 ) )
| ( in @ X1 @ X0 )
| ~ ( in @ X2 @ ( relation_dom @ sk__16 ) )
| ( X1
!= ( apply @ sk__16 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl593,zip_derived_cl74,zip_derived_cl73]) ).
thf(zip_derived_cl638,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( apply @ sk__16 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__16 ) )
| ( in @ X0 @ ( relation_dom @ sk__17 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl596]) ).
thf(zip_derived_cl700,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ sk__16 @ X0 )
!= X1 )
| ( ( apply @ sk__17 @ X1 )
= X0 )
| ~ ( in @ X0 @ ( relation_dom @ sk__16 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl78,zip_derived_cl638]) ).
thf(zip_derived_cl702,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__16 ) )
| ( ( apply @ sk__17 @ ( apply @ sk__16 @ X0 ) )
= X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl700]) ).
thf(zip_derived_cl3478,plain,
( ~ ( in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ( ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) )
= ( sk__15 @ sk__17 @ sk__16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3450,zip_derived_cl702]) ).
thf(zip_derived_cl77_026,plain,
( ( relation_rng @ sk__16 )
= ( relation_dom @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67_027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
| ( zip_tseitin_2 @ X0 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( relation_dom @ X1 ) )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X3 @ X2 @ X1 @ X0 )
| ( in @ X3 @ ( relation_dom @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl61]) ).
thf(zip_derived_cl496_028,plain,
! [X0: $i,X1: $i] :
( ( ( sk__15 @ X1 @ X0 )
= ( apply @ X1 @ ( sk__14 @ X1 @ X0 ) ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( zip_tseitin_3 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ~ ( one_to_one @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl484,zip_derived_cl71]) ).
thf(zip_derived_cl513,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__15 @ X1 @ X0 ) @ ( relation_dom @ X0 ) )
| ~ ( one_to_one @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( ( sk__15 @ X1 @ X0 )
= ( apply @ X1 @ ( sk__14 @ X1 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl479,zip_derived_cl496]) ).
thf(zip_derived_cl1193,plain,
! [X0: $i] :
( ( in @ ( sk__15 @ X0 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ~ ( one_to_one @ sk__16 )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 )
| ( ( sk__15 @ X0 @ sk__16 )
= ( apply @ X0 @ ( sk__14 @ X0 @ sk__16 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl513]) ).
thf(zip_derived_cl75_029,plain,
one_to_one @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_030,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_031,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1195,plain,
! [X0: $i] :
( ( in @ ( sk__15 @ X0 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ( ( sk__15 @ X0 @ sk__16 )
= ( apply @ X0 @ ( sk__14 @ X0 @ sk__16 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1193,zip_derived_cl75,zip_derived_cl74,zip_derived_cl73]) ).
thf(zip_derived_cl2728,plain,
( ( ( sk__15 @ sk__17 @ sk__16 )
= ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) ) )
| ( sk__17
= ( function_inverse @ sk__16 ) )
| ~ ( function @ sk__17 )
| ~ ( relation @ sk__17 )
| ( in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1195]) ).
thf(zip_derived_cl81_032,plain,
function @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_033,plain,
relation @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2729,plain,
( ( ( sk__15 @ sk__17 @ sk__16 )
= ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) ) )
| ( sk__17
= ( function_inverse @ sk__16 ) )
| ( in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2728,zip_derived_cl81,zip_derived_cl82]) ).
thf(zip_derived_cl80_034,plain,
( sk__17
!= ( function_inverse @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2730,plain,
( ( ( sk__15 @ sk__17 @ sk__16 )
= ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) ) )
| ( in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2729,zip_derived_cl80]) ).
thf(zip_derived_cl4020,plain,
( ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) )
= ( sk__15 @ sk__17 @ sk__16 ) ),
inference(clc,[status(thm)],[zip_derived_cl3478,zip_derived_cl2730]) ).
thf(zip_derived_cl668_035,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( apply @ sk__17 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__17 ) )
| ( in @ X0 @ ( relation_dom @ sk__16 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl597]) ).
thf(zip_derived_cl681,plain,
! [X0: $i] :
( ( in @ ( apply @ sk__17 @ X0 ) @ ( relation_dom @ sk__16 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__17 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl668]) ).
thf(zip_derived_cl4027,plain,
( ( in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ~ ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4020,zip_derived_cl681]) ).
thf(zip_derived_cl77_036,plain,
( ( relation_rng @ sk__16 )
= ( relation_dom @ sk__17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl479_037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_3 @ X3 @ X2 @ X1 @ X0 )
| ( in @ X3 @ ( relation_dom @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl67,zip_derived_cl61]) ).
thf(zip_derived_cl493_038,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__14 @ X1 @ X0 ) @ ( relation_rng @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( zip_tseitin_3 @ ( sk__15 @ X1 @ X0 ) @ ( sk__14 @ X1 @ X0 ) @ X1 @ X0 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 )
| ~ ( one_to_one @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl483,zip_derived_cl71]) ).
thf(zip_derived_cl512,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__15 @ X1 @ X0 ) @ ( relation_dom @ X0 ) )
| ~ ( one_to_one @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( ( relation_dom @ X1 )
!= ( relation_rng @ X0 ) )
| ( X1
= ( function_inverse @ X0 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( in @ ( sk__14 @ X1 @ X0 ) @ ( relation_rng @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl479,zip_derived_cl493]) ).
thf(zip_derived_cl1171,plain,
! [X0: $i] :
( ( in @ ( sk__15 @ X0 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ~ ( one_to_one @ sk__16 )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 )
| ( in @ ( sk__14 @ X0 @ sk__16 ) @ ( relation_dom @ sk__17 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl512]) ).
thf(zip_derived_cl75_039,plain,
one_to_one @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74_040,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_041,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1177,plain,
! [X0: $i] :
( ( in @ ( sk__15 @ X0 @ sk__16 ) @ ( relation_dom @ sk__16 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( relation_dom @ X0 )
!= ( relation_dom @ sk__17 ) )
| ( X0
= ( function_inverse @ sk__16 ) )
| ( in @ ( sk__14 @ X0 @ sk__16 ) @ ( relation_dom @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1171,zip_derived_cl75,zip_derived_cl74,zip_derived_cl73]) ).
thf(zip_derived_cl3450_042,plain,
( ( sk__14 @ sk__17 @ sk__16 )
= ( apply @ sk__16 @ ( sk__15 @ sk__17 @ sk__16 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3449,zip_derived_cl80]) ).
thf(zip_derived_cl638_043,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( apply @ sk__16 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__16 ) )
| ( in @ X0 @ ( relation_dom @ sk__17 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl596]) ).
thf(zip_derived_cl652,plain,
! [X0: $i] :
( ( in @ ( apply @ sk__16 @ X0 ) @ ( relation_dom @ sk__17 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__16 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl638]) ).
thf(zip_derived_cl3476,plain,
( ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ~ ( in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3450,zip_derived_cl652]) ).
thf(zip_derived_cl3742,plain,
( ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ( sk__17
= ( function_inverse @ sk__16 ) )
| ( ( relation_dom @ sk__17 )
!= ( relation_dom @ sk__17 ) )
| ~ ( function @ sk__17 )
| ~ ( relation @ sk__17 )
| ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1177,zip_derived_cl3476]) ).
thf(zip_derived_cl81_044,plain,
function @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl82_045,plain,
relation @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3754,plain,
( ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) )
| ( sk__17
= ( function_inverse @ sk__16 ) )
| ( ( relation_dom @ sk__17 )
!= ( relation_dom @ sk__17 ) )
| ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3742,zip_derived_cl81,zip_derived_cl82]) ).
thf(zip_derived_cl3755,plain,
( ( sk__17
= ( function_inverse @ sk__16 ) )
| ( in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3754]) ).
thf(zip_derived_cl80_046,plain,
( sk__17
!= ( function_inverse @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3756,plain,
in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3755,zip_derived_cl80]) ).
thf(zip_derived_cl4041,plain,
in @ ( sk__15 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__16 ),
inference(demod,[status(thm)],[zip_derived_cl4027,zip_derived_cl3756]) ).
thf(zip_derived_cl3756_047,plain,
in @ ( sk__14 @ sk__17 @ sk__16 ) @ ( relation_dom @ sk__17 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3755,zip_derived_cl80]) ).
thf(zip_derived_cl4020_048,plain,
( ( apply @ sk__17 @ ( sk__14 @ sk__17 @ sk__16 ) )
= ( sk__15 @ sk__17 @ sk__16 ) ),
inference(clc,[status(thm)],[zip_derived_cl3478,zip_derived_cl2730]) ).
thf(zip_derived_cl4795,plain,
( ( ( sk__14 @ sk__17 @ sk__16 )
!= ( sk__14 @ sk__17 @ sk__16 ) )
| ( ( sk__15 @ sk__17 @ sk__16 )
!= ( sk__15 @ sk__17 @ sk__16 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2583,zip_derived_cl3450,zip_derived_cl4041,zip_derived_cl3756,zip_derived_cl4020]) ).
thf(zip_derived_cl4796,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl4795]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ta85BDiN8V true
% 0.16/0.39 % Computer : n003.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Thu Aug 24 01:37:22 EDT 2023
% 0.16/0.39 % CPUTime :
% 0.16/0.39 % Running portfolio for 300 s
% 0.16/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.40 % Number of cores: 8
% 0.16/0.40 % Python version: Python 3.6.8
% 0.16/0.40 % Running in FO mode
% 0.24/0.71 % Total configuration time : 435
% 0.24/0.71 % Estimated wc time : 1092
% 0.24/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.74/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.74/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.74/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.74/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.74/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.74/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.74/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 13.03/2.55 % Solved by fo/fo6_bce.sh.
% 13.03/2.55 % BCE start: 88
% 13.03/2.55 % BCE eliminated: 2
% 13.03/2.55 % PE start: 86
% 13.03/2.55 logic: eq
% 13.03/2.55 % PE eliminated: 10
% 13.03/2.55 % done 758 iterations in 1.704s
% 13.03/2.55 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.03/2.55 % SZS output start Refutation
% See solution above
% 13.45/2.56
% 13.45/2.56
% 13.45/2.56 % Terminating...
% 13.52/2.63 % Runner terminated.
% 13.52/2.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------