TSTP Solution File: SEU106+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU106+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.sT3G1D4gzt true
% Computer : n017.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 19:10:29 EDT 2023
% Result : Theorem 12.13s 2.32s
% Output : Refutation 12.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 121 ( 39 unt; 13 typ; 0 def)
% Number of atoms : 219 ( 26 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 960 ( 125 ~; 78 |; 4 &; 724 @)
% ( 1 <=>; 12 =>; 16 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 0 ^; 114 !; 1 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__11_type,type,
sk__11: $i > $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(symmetric_difference_type,type,
symmetric_difference: $i > $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(preboolean_type,type,
preboolean: $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(t4_boole,axiom,
! [A: $i] :
( ( set_difference @ empty_set @ A )
= empty_set ) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ( set_difference @ empty_set @ X0 )
= empty_set ),
inference(cnf,[status(esa)],[t4_boole]) ).
thf(d6_xboole_0,axiom,
! [A: $i,B: $i] :
( ( symmetric_difference @ A @ B )
= ( set_union2 @ ( set_difference @ A @ B ) @ ( set_difference @ B @ A ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( set_union2 @ ( set_difference @ X0 @ X1 ) @ ( set_difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[d6_xboole_0]) ).
thf(fc2_xboole_0,axiom,
! [A: $i,B: $i] :
( ~ ( empty @ A )
=> ~ ( empty @ ( set_union2 @ A @ B ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( empty @ ( set_union2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[fc2_xboole_0]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( set_difference @ X1 @ X0 ) )
| ~ ( empty @ ( symmetric_difference @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl17]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl528,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ ( symmetric_difference @ X1 @ X0 ) )
| ( ( set_difference @ X1 @ X0 )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl73]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( element @ A @ B ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl9_001,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X0 @ X1 )
= ( set_union2 @ ( set_difference @ X0 @ X1 ) @ ( set_difference @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[d6_xboole_0]) ).
thf(t17_finsub_1,conjecture,
! [A: $i] :
( ~ ( empty @ A )
=> ( ! [B: $i] :
( ( element @ B @ A )
=> ! [C: $i] :
( ( element @ C @ A )
=> ( ( in @ ( symmetric_difference @ B @ C ) @ A )
& ( in @ ( set_union2 @ B @ C ) @ A ) ) ) )
=> ( preboolean @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ~ ( empty @ A )
=> ( ! [B: $i] :
( ( element @ B @ A )
=> ! [C: $i] :
( ( element @ C @ A )
=> ( ( in @ ( symmetric_difference @ B @ C ) @ A )
& ( in @ ( set_union2 @ B @ C ) @ A ) ) ) )
=> ( preboolean @ A ) ) ),
inference('cnf.neg',[status(esa)],[t17_finsub_1]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( set_union2 @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl423,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ ( set_difference @ X0 @ X1 ) @ sk__12 )
| ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ ( set_difference @ X1 @ X0 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl60]) ).
thf(zip_derived_cl3077,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( set_difference @ X1 @ X0 ) @ sk__12 )
| ( in @ ( symmetric_difference @ X0 @ X1 ) @ sk__12 )
| ~ ( element @ ( set_difference @ X0 @ X1 ) @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl423]) ).
thf(zip_derived_cl63_002,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl3611,plain,
! [X0: $i,X1: $i] :
( ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( in @ ( set_difference @ X0 @ X1 ) @ sk__12 )
| ~ ( in @ ( set_difference @ X1 @ X0 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3077,zip_derived_cl63]) ).
thf(zip_derived_cl3710,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ ( symmetric_difference @ X1 @ X0 ) )
| ( in @ ( symmetric_difference @ X0 @ X1 ) @ sk__12 )
| ~ ( in @ empty_set @ sk__12 )
| ~ ( in @ ( set_difference @ X0 @ X1 ) @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl3611]) ).
thf(t1_boole,axiom,
! [A: $i] :
( ( set_union2 @ A @ empty_set )
= A ) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ( set_union2 @ X0 @ empty_set )
= X0 ),
inference(cnf,[status(esa)],[t1_boole]) ).
thf(t95_xboole_1,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( symmetric_difference @ ( symmetric_difference @ A @ B ) @ ( set_union2 @ A @ B ) ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X0 @ X1 )
= ( symmetric_difference @ ( symmetric_difference @ X0 @ X1 ) @ ( set_union2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t95_xboole_1]) ).
thf(zip_derived_cl326,plain,
! [X0: $i] :
( ( set_intersection2 @ X0 @ empty_set )
= ( symmetric_difference @ ( symmetric_difference @ X0 @ empty_set ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl76]) ).
thf(t2_boole,axiom,
! [A: $i] :
( ( set_intersection2 @ A @ empty_set )
= empty_set ) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( set_intersection2 @ X0 @ empty_set )
= empty_set ),
inference(cnf,[status(esa)],[t2_boole]) ).
thf(t5_boole,axiom,
! [A: $i] :
( ( symmetric_difference @ A @ empty_set )
= A ) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ( symmetric_difference @ X0 @ empty_set )
= X0 ),
inference(cnf,[status(esa)],[t5_boole]) ).
thf(zip_derived_cl336,plain,
! [X0: $i] :
( empty_set
= ( symmetric_difference @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl64,zip_derived_cl71]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl439,plain,
! [X0: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ empty_set @ sk__12 )
| ~ ( element @ X0 @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl336,zip_derived_cl61]) ).
thf(zip_derived_cl445,plain,
! [X0: $i] :
( ( in @ empty_set @ sk__12 )
| ~ ( element @ X0 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl439]) ).
thf(zip_derived_cl459,plain,
( ( in @ empty_set @ sk__12 )
<= ( in @ empty_set @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl445]) ).
thf(zip_derived_cl458,plain,
( ! [X0: $i] :
~ ( element @ X0 @ sk__12 )
<= ! [X0: $i] :
~ ( element @ X0 @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl445]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] : ( element @ ( sk_ @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf('0',plain,
~ ! [X0: $i] :
~ ( element @ X0 @ sk__12 ),
inference('s_sup+',[status(thm)],[zip_derived_cl458,zip_derived_cl10]) ).
thf('1',plain,
( ( in @ empty_set @ sk__12 )
| ! [X0: $i] :
~ ( element @ X0 @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl445]) ).
thf('2',plain,
in @ empty_set @ sk__12,
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl464,plain,
in @ empty_set @ sk__12,
inference(simpl_trail,[status(thm)],[zip_derived_cl459,'2']) ).
thf(zip_derived_cl3726,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ ( symmetric_difference @ X1 @ X0 ) )
| ( in @ ( symmetric_difference @ X0 @ X1 ) @ sk__12 )
| ~ ( in @ ( set_difference @ X0 @ X1 ) @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl3710,zip_derived_cl464]) ).
thf(zip_derived_cl4155,plain,
! [X0: $i] :
( ~ ( empty @ ( symmetric_difference @ X0 @ empty_set ) )
| ( in @ ( symmetric_difference @ empty_set @ X0 ) @ sk__12 )
| ~ ( in @ empty_set @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl3726]) ).
thf(zip_derived_cl71_003,plain,
! [X0: $i] :
( ( symmetric_difference @ X0 @ empty_set )
= X0 ),
inference(cnf,[status(esa)],[t5_boole]) ).
thf(zip_derived_cl71_004,plain,
! [X0: $i] :
( ( symmetric_difference @ X0 @ empty_set )
= X0 ),
inference(cnf,[status(esa)],[t5_boole]) ).
thf(commutativity_k5_xboole_0,axiom,
! [A: $i,B: $i] :
( ( symmetric_difference @ A @ B )
= ( symmetric_difference @ B @ A ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( symmetric_difference @ X1 @ X0 )
= ( symmetric_difference @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k5_xboole_0]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( X0
= ( symmetric_difference @ empty_set @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl8]) ).
thf(zip_derived_cl464_005,plain,
in @ empty_set @ sk__12,
inference(simpl_trail,[status(thm)],[zip_derived_cl459,'2']) ).
thf(zip_derived_cl4167,plain,
! [X0: $i] :
( ~ ( empty @ X0 )
| ( in @ X0 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4155,zip_derived_cl71,zip_derived_cl101,zip_derived_cl464]) ).
thf(t10_finsub_1,axiom,
! [A: $i] :
( ( preboolean @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ B @ A )
& ( in @ C @ A ) )
=> ( ( in @ ( set_union2 @ B @ C ) @ A )
& ( in @ ( set_difference @ B @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ~ ( in @ ( set_union2 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) ) @ X0 )
| ~ ( in @ ( set_difference @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) ) @ X0 ) ),
inference(cnf,[status(esa)],[t10_finsub_1]) ).
thf(zip_derived_cl4180,plain,
( ~ ( empty @ ( set_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) )
| ( preboolean @ sk__12 )
| ~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4167,zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
~ ( preboolean @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4189,plain,
( ~ ( empty @ ( set_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) )
| ~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl4180,zip_derived_cl59]) ).
thf(zip_derived_cl4290,plain,
( ~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
<= ~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl4189]) ).
thf(zip_derived_cl60_006,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( set_union2 @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4318,plain,
( ( ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 )
| ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 ) )
<= ~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4290,zip_derived_cl60]) ).
thf(zip_derived_cl4354,plain,
( ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 )
<= ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl4318]) ).
thf(zip_derived_cl63_007,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl4357,plain,
( ~ ( in @ ( sk__10 @ sk__12 ) @ sk__12 )
<= ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4354,zip_derived_cl63]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ( in @ ( sk__10 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[t10_finsub_1]) ).
thf(zip_derived_cl4367,plain,
( ( preboolean @ sk__12 )
<= ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4357,zip_derived_cl55]) ).
thf(zip_derived_cl59_008,plain,
~ ( preboolean @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
element @ ( sk__10 @ sk__12 ) @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl4367,zip_derived_cl59]) ).
thf(zip_derived_cl4353,plain,
( ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 )
<= ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl4318]) ).
thf(zip_derived_cl63_009,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl4355,plain,
( ~ ( in @ ( sk__11 @ sk__12 ) @ sk__12 )
<= ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4353,zip_derived_cl63]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ( in @ ( sk__11 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[t10_finsub_1]) ).
thf(zip_derived_cl4360,plain,
( ( preboolean @ sk__12 )
<= ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4355,zip_derived_cl56]) ).
thf(zip_derived_cl59_010,plain,
~ ( preboolean @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('4',plain,
element @ ( sk__11 @ sk__12 ) @ sk__12,
inference('s_sup-',[status(thm)],[zip_derived_cl4360,zip_derived_cl59]) ).
thf(zip_derived_cl63_011,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl76_012,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X0 @ X1 )
= ( symmetric_difference @ ( symmetric_difference @ X0 @ X1 ) @ ( set_union2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t95_xboole_1]) ).
thf(zip_derived_cl61_013,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl442,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ ( set_union2 @ X1 @ X0 ) @ sk__12 )
| ( in @ ( set_intersection2 @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl76,zip_derived_cl61]) ).
thf(zip_derived_cl63_014,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl1246,plain,
! [X0: $i,X1: $i] :
( ( in @ ( set_intersection2 @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ ( set_union2 @ X1 @ X0 ) @ sk__12 )
| ~ ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl63]) ).
thf(t100_xboole_1,axiom,
! [A: $i,B: $i] :
( ( set_difference @ A @ B )
= ( symmetric_difference @ A @ ( set_intersection2 @ A @ B ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ( set_difference @ X0 @ X1 )
= ( symmetric_difference @ X0 @ ( set_intersection2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t100_xboole_1]) ).
thf(zip_derived_cl61_015,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl440,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ ( set_intersection2 @ X1 @ X0 ) @ sk__12 )
| ( in @ ( set_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl61]) ).
thf(zip_derived_cl63_016,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl784,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ sk__12 )
| ( in @ ( set_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( in @ ( set_intersection2 @ X1 @ X0 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl440,zip_derived_cl63]) ).
thf(zip_derived_cl57_017,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ~ ( in @ ( set_union2 @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) ) @ X0 )
| ~ ( in @ ( set_difference @ ( sk__10 @ X0 ) @ ( sk__11 @ X0 ) ) @ X0 ) ),
inference(cnf,[status(esa)],[t10_finsub_1]) ).
thf(zip_derived_cl838,plain,
( ~ ( in @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
| ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 )
| ( preboolean @ sk__12 )
| ~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl784,zip_derived_cl57]) ).
thf(zip_derived_cl59_018,plain,
~ ( preboolean @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl852,plain,
( ~ ( in @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
| ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 )
| ~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl838,zip_derived_cl59]) ).
thf(zip_derived_cl8091,plain,
( ~ ( in @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
<= ~ ( in @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl852]) ).
thf(zip_derived_cl8101,plain,
( ( ~ ( in @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
| ~ ( element @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) )
<= ~ ( in @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1246,zip_derived_cl8091]) ).
thf('5',plain,
( ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
| ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 )
| ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl4318]) ).
thf('6',plain,
( ~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
| ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 )
| ~ ( in @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl852]) ).
thf('7',plain,
~ ( in @ ( set_intersection2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ),
inference('sat_resolution*',[status(thm)],['4','3','5','6']) ).
thf(zip_derived_cl8107,plain,
( ~ ( in @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
| ~ ( element @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl8101,'7']) ).
thf(zip_derived_cl8660,plain,
( ~ ( element @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
<= ~ ( element @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl8107]) ).
thf(zip_derived_cl8680,plain,
( ~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
<= ~ ( element @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl8660]) ).
thf(zip_derived_cl8659,plain,
( ~ ( in @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
<= ~ ( in @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl8107]) ).
thf(zip_derived_cl61_019,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( symmetric_difference @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8662,plain,
( ( ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 )
| ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 ) )
<= ~ ( in @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8659,zip_derived_cl61]) ).
thf('8',plain,
( ( in @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
| ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 )
| ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl8662]) ).
thf('9',plain,
( ~ ( element @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 )
| ~ ( in @ ( symmetric_difference @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl8107]) ).
thf('10',plain,
~ ( element @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ),
inference('sat_resolution*',[status(thm)],['3','4','8','9']) ).
thf(zip_derived_cl8681,plain,
~ ( in @ ( set_union2 @ ( sk__10 @ sk__12 ) @ ( sk__11 @ sk__12 ) ) @ sk__12 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl8680,'10']) ).
thf(zip_derived_cl60_020,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ sk__12 )
| ( in @ ( set_union2 @ X1 @ X0 ) @ sk__12 )
| ~ ( element @ X1 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8695,plain,
( ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 )
| ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8681,zip_derived_cl60]) ).
thf('11',plain,
( ~ ( element @ ( sk__11 @ sk__12 ) @ sk__12 )
| ~ ( element @ ( sk__10 @ sk__12 ) @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl8695]) ).
thf(zip_derived_cl8960,plain,
$false,
inference('sat_resolution*',[status(thm)],['3','4','11']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU106+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sT3G1D4gzt true
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 00:33:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 12.13/2.32 % Solved by fo/fo1_av.sh.
% 12.13/2.32 % done 1811 iterations in 1.565s
% 12.13/2.32 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.13/2.32 % SZS output start Refutation
% See solution above
% 12.13/2.33
% 12.13/2.33
% 12.13/2.33 % Terminating...
% 12.13/2.36 % Runner terminated.
% 12.13/2.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------