%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU013+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.S9PaMhmOLE true
% Computer : n023.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 Oct 2 04:53:19 PM UTC 2025
% Result : Theorem 0.63s 0.99s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 100 ( 42 unt; 0 typ; 0 def)
% Number of atoms : 318 ( 39 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1313 ( 189 ~; 182 |; 19 &; 906 @)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 0 ^; 61 !; 0 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(function_type,type,
function: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(fc1_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( function @ A )
& ( relation @ B )
& ( function @ B ) )
=> ( ( relation @ ( relation_composition @ A @ B ) )
& ( function @ ( relation_composition @ A @ B ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( function @ ( relation_composition @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc1_funct_1]) ).
thf(dt_k5_relat_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ A )
& ( relation @ B ) )
=> ( relation @ ( relation_composition @ A @ B ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( relation @ X1 )
| ( relation @ ( relation_composition @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k5_relat_1]) ).
thf(d8_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ B @ ( relation_dom @ A ) )
& ( in @ C @ ( relation_dom @ A ) )
& ( ( apply @ A @ B )
= ( apply @ A @ C ) ) )
=> ( B = C ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( ( apply @ X0 @ ( sk_ @ X0 ) )
= ( apply @ X0 @ ( sk__1 @ X0 ) ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(t46_funct_1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( one_to_one @ A )
& ( one_to_one @ B ) )
=> ( one_to_one @ ( relation_composition @ A @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( one_to_one @ A )
& ( one_to_one @ B ) )
=> ( one_to_one @ ( relation_composition @ A @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t46_funct_1]) ).
thf(zip_derived_cl53,plain,
~ ( one_to_one @ ( relation_composition @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl331,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( ( apply @ ( relation_composition @ sk__11 @ sk__12 ) @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) )
= ( apply @ ( relation_composition @ sk__11 @ sk__12 ) @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl53]) ).
thf(t22_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ A @ ( relation_dom @ ( relation_composition @ C @ B ) ) )
=> ( ( apply @ ( relation_composition @ C @ B ) @ A )
= ( apply @ B @ ( apply @ C @ A ) ) ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( apply @ ( relation_composition @ X0 @ X1 ) @ X2 )
= ( apply @ X1 @ ( apply @ X0 @ X2 ) ) )
| ~ ( in @ X2 @ ( relation_dom @ ( relation_composition @ X0 @ X1 ) ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t22_funct_1]) ).
thf(zip_derived_cl656,plain,
( ( ( apply @ ( relation_composition @ sk__11 @ sk__12 ) @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) )
= ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ~ ( in @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) )
| ~ ( function @ sk__11 )
| ~ ( relation @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl331,zip_derived_cl45]) ).
thf(zip_derived_cl55,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl676,plain,
( ( ( apply @ ( relation_composition @ sk__11 @ sk__12 ) @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) )
= ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( in @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl656,zip_derived_cl55,zip_derived_cl54,zip_derived_cl50,zip_derived_cl49]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ ( relation_dom @ X0 ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl53_001,plain,
~ ( one_to_one @ ( relation_composition @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl333,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( in @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl53]) ).
thf(zip_derived_cl807,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( ( apply @ ( relation_composition @ sk__11 @ sk__12 ) @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) )
= ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl676,zip_derived_cl333]) ).
thf(zip_derived_cl45_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( apply @ ( relation_composition @ X0 @ X1 ) @ X2 )
= ( apply @ X1 @ ( apply @ X0 @ X2 ) ) )
| ~ ( in @ X2 @ ( relation_dom @ ( relation_composition @ X0 @ X1 ) ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t22_funct_1]) ).
thf(zip_derived_cl817,plain,
( ( ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) )
= ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ~ ( in @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) )
| ~ ( function @ sk__11 )
| ~ ( relation @ sk__11 ) ),
inference('sup+',[status(thm)],[zip_derived_cl807,zip_derived_cl45]) ).
thf(zip_derived_cl55_003,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_004,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_005,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_006,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl837,plain,
( ( ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) )
= ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( in @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl817,zip_derived_cl55,zip_derived_cl54,zip_derived_cl50,zip_derived_cl49]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( in @ ( sk_ @ X0 ) @ ( relation_dom @ X0 ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl53_007,plain,
~ ( one_to_one @ ( relation_composition @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl335,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( in @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl53]) ).
thf(zip_derived_cl842,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) )
= ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl837,zip_derived_cl335]) ).
thf(zip_derived_cl52,plain,
one_to_one @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( one_to_one @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ X0 ) )
| ~ ( in @ X2 @ ( relation_dom @ X0 ) )
| ( ( apply @ X0 @ X1 )
!= ( apply @ X0 @ X2 ) )
| ( X1 = X2 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl340,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ( X0 = X1 )
| ( ( apply @ sk__12 @ X0 )
!= ( apply @ sk__12 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__12 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__12 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl7]) ).
thf(zip_derived_cl55_008,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_009,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl602,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( apply @ sk__12 @ X0 )
!= ( apply @ sk__12 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__12 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl55,zip_derived_cl54]) ).
thf(zip_derived_cl852,plain,
! [X0: $i] :
( ( ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) )
!= ( apply @ sk__12 @ X0 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( in @ ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) @ ( relation_dom @ sk__12 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__12 ) )
| ( ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl842,zip_derived_cl602]) ).
thf(zip_derived_cl333_010,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( in @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl53]) ).
thf(t21_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ A @ ( relation_dom @ ( relation_composition @ C @ B ) ) )
<=> ( ( in @ A @ ( relation_dom @ C ) )
& ( in @ ( apply @ C @ A ) @ ( relation_dom @ B ) ) ) ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ ( relation_composition @ X0 @ X2 ) ) )
| ( in @ ( apply @ X0 @ X1 ) @ ( relation_dom @ X2 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
thf(zip_derived_cl438,plain,
( ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ( in @ ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) @ ( relation_dom @ sk__12 ) )
| ~ ( function @ sk__11 )
| ~ ( relation @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl43]) ).
thf(zip_derived_cl55_011,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_012,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_013,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_014,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl440,plain,
( ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( in @ ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) @ ( relation_dom @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl438,zip_derived_cl55,zip_derived_cl54,zip_derived_cl50,zip_derived_cl49]) ).
thf(zip_derived_cl991,plain,
! [X0: $i] :
( ( ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) )
= X0 )
| ~ ( in @ X0 @ ( relation_dom @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( ( apply @ sk__12 @ ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) )
!= ( apply @ sk__12 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl852,zip_derived_cl440]) ).
thf(zip_derived_cl996,plain,
( ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( in @ ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) @ ( relation_dom @ sk__12 ) )
| ( ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) )
= ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl991]) ).
thf(zip_derived_cl335_015,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( in @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl53]) ).
thf(zip_derived_cl43_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ ( relation_composition @ X0 @ X2 ) ) )
| ( in @ ( apply @ X0 @ X1 ) @ ( relation_dom @ X2 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
thf(zip_derived_cl622,plain,
( ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ( in @ ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) @ ( relation_dom @ sk__12 ) )
| ~ ( function @ sk__11 )
| ~ ( relation @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl335,zip_derived_cl43]) ).
thf(zip_derived_cl55_017,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_018,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_019,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_020,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl637,plain,
( ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( in @ ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) @ ( relation_dom @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl55,zip_derived_cl54,zip_derived_cl50,zip_derived_cl49]) ).
thf(zip_derived_cl1001,plain,
( ( ( apply @ sk__11 @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) )
= ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl996,zip_derived_cl637]) ).
thf(zip_derived_cl51,plain,
one_to_one @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( one_to_one @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ X0 ) )
| ~ ( in @ X2 @ ( relation_dom @ X0 ) )
| ( ( apply @ X0 @ X1 )
!= ( apply @ X0 @ X2 ) )
| ( X1 = X2 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl336,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__11 )
| ~ ( function @ sk__11 )
| ( X0 = X1 )
| ( ( apply @ sk__11 @ X0 )
!= ( apply @ sk__11 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__11 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__11 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl49_022,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_023,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl585,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( apply @ sk__11 @ X0 )
!= ( apply @ sk__11 @ X1 ) )
| ~ ( in @ X1 @ ( relation_dom @ sk__11 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl49,zip_derived_cl50]) ).
thf(zip_derived_cl1011,plain,
! [X0: $i] :
( ( ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) )
!= ( apply @ sk__11 @ X0 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( in @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ sk__11 ) )
| ~ ( in @ X0 @ ( relation_dom @ sk__11 ) )
| ( ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1001,zip_derived_cl585]) ).
thf(zip_derived_cl333_024,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( in @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl53]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ ( relation_composition @ X0 @ X2 ) ) )
| ( in @ X1 @ ( relation_dom @ X0 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
thf(zip_derived_cl444,plain,
( ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ( in @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ sk__11 ) )
| ~ ( function @ sk__11 )
| ~ ( relation @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl44]) ).
thf(zip_derived_cl55_025,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_026,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_027,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_028,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl446,plain,
( ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( in @ ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl55,zip_derived_cl54,zip_derived_cl50,zip_derived_cl49]) ).
thf(zip_derived_cl1032,plain,
! [X0: $i] :
( ( ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) )
= X0 )
| ~ ( in @ X0 @ ( relation_dom @ sk__11 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( ( apply @ sk__11 @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) )
!= ( apply @ sk__11 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1011,zip_derived_cl446]) ).
thf(zip_derived_cl1037,plain,
( ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( in @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ sk__11 ) )
| ( ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) )
= ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1032]) ).
thf(zip_derived_cl44_029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ ( relation_composition @ X0 @ X2 ) ) )
| ( in @ X1 @ ( relation_dom @ X0 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
thf(zip_derived_cl335_030,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( in @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl53]) ).
thf(zip_derived_cl625,plain,
( ~ ( relation @ sk__12 )
| ~ ( function @ sk__12 )
| ( in @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ sk__11 ) )
| ~ ( function @ sk__11 )
| ~ ( relation @ sk__11 )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl335]) ).
thf(zip_derived_cl55_031,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_032,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_033,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_034,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl631,plain,
( ( in @ ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) @ ( relation_dom @ sk__11 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl625,zip_derived_cl55,zip_derived_cl54,zip_derived_cl50,zip_derived_cl49]) ).
thf(zip_derived_cl1149,plain,
( ( ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) )
= ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1037,zip_derived_cl631]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( ( sk_ @ X0 )
!= ( sk__1 @ X0 ) )
| ( one_to_one @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_funct_1]) ).
thf(zip_derived_cl53_035,plain,
~ ( one_to_one @ ( relation_composition @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl329,plain,
( ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ( ( sk_ @ ( relation_composition @ sk__11 @ sk__12 ) )
!= ( sk__1 @ ( relation_composition @ sk__11 @ sk__12 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl53]) ).
thf(zip_derived_cl1150,plain,
( ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) )
| ~ ( relation @ ( relation_composition @ sk__11 @ sk__12 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1149,zip_derived_cl329]) ).
thf(zip_derived_cl1156,plain,
( ~ ( relation @ sk__12 )
| ~ ( relation @ sk__11 )
| ~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1150]) ).
thf(zip_derived_cl55_036,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_037,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1164,plain,
~ ( function @ ( relation_composition @ sk__11 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl1156,zip_derived_cl55,zip_derived_cl49]) ).
thf(zip_derived_cl1178,plain,
( ~ ( function @ sk__12 )
| ~ ( relation @ sk__12 )
| ~ ( relation @ sk__11 )
| ~ ( function @ sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1164]) ).
thf(zip_derived_cl54_038,plain,
function @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55_039,plain,
relation @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_040,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50_041,plain,
function @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1183,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl54,zip_derived_cl55,zip_derived_cl49,zip_derived_cl50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU013+1 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.S9PaMhmOLE true
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 16:14:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.99 % Solved by fo/fo3_bce.sh.
% 0.63/0.99 % BCE start: 61
% 0.63/0.99 % BCE eliminated: 2
% 0.63/0.99 % PE start: 59
% 0.63/0.99 logic: eq
% 0.63/0.99 % PE eliminated: -2
% 0.63/0.99 % done 184 iterations in 0.222s
% 0.63/0.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.99 % SZS output start Refutation
% See solution above
% 0.63/0.99
% 0.63/0.99
% 0.63/0.99 % Terminating...
% 0.64/1.16 % Runner terminated.
% 0.64/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------