TSTP Solution File: SEU411+4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU411+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HdVxVY9jUK true
% Computer : n029.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 19:12:44 EDT 2023
% Result : Theorem 103.14s 15.32s
% Output : Refutation 103.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 40
% Syntax : Number of formulae : 114 ( 54 unt; 25 typ; 0 def)
% Number of atoms : 205 ( 29 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 668 ( 75 ~; 52 |; 48 &; 477 @)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 5 con; 0-2 aty)
% Number of variables : 108 ( 0 ^; 105 !; 3 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(v2_orders_2_type,type,
v2_orders_2: $i > $o ).
thf(k2_xboole_0_type,type,
k2_xboole_0: $i > $i > $i ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(v1_waybel_0_type,type,
v1_waybel_0: $i > $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__59_type,type,
sk__59: $i ).
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(v3_orders_2_type,type,
v3_orders_2: $i > $o ).
thf(v1_lattice3_type,type,
v1_lattice3: $i > $o ).
thf(k3_xboole_0_type,type,
k3_xboole_0: $i > $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(r1_xboole_0_type,type,
r1_xboole_0: $i > $i > $o ).
thf(v1_yellow_0_type,type,
v1_yellow_0: $i > $o ).
thf(k4_xboole_0_type,type,
k4_xboole_0: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(v4_orders_2_type,type,
v4_orders_2: $i > $o ).
thf(k3_yellow_0_type,type,
k3_yellow_0: $i > $i ).
thf(l1_orders_2_type,type,
l1_orders_2: $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(v12_waybel_0_type,type,
v12_waybel_0: $i > $i > $o ).
thf(sk__58_type,type,
sk__58: $i ).
thf(t20_latsum_1,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_yellow_0 @ A )
& ( v1_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_yellow_0 @ B )
& ( v1_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ( ( ~ ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
& ( v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
& ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) ) )
=> ( r2_hidden @ ( k3_yellow_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_yellow_0 @ A )
& ( v1_lattice3 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( v2_orders_2 @ B )
& ( v3_orders_2 @ B )
& ( v4_orders_2 @ B )
& ( v1_yellow_0 @ B )
& ( v1_lattice3 @ B )
& ( l1_orders_2 @ B ) )
=> ( ( ~ ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
& ( v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
& ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ B )
& ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) ) )
=> ( r2_hidden @ ( k3_yellow_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t20_latsum_1]) ).
thf(zip_derived_cl393,plain,
~ ( r2_hidden @ ( k3_yellow_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl392,plain,
m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__58 ) @ ( u1_struct_0 @ sk__59 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__59 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( k3_xboole_0 @ A @ B )
= ( k3_xboole_0 @ B @ A ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X1 @ X0 )
= ( k3_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl1289,plain,
m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__59 ) ),
inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl17]) ).
thf(t21_waybel_4,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( v2_orders_2 @ A )
& ( v3_orders_2 @ A )
& ( v4_orders_2 @ A )
& ( v1_yellow_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v1_xboole_0 @ B )
& ( v1_waybel_0 @ B @ A )
& ( v12_waybel_0 @ B @ A )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
=> ( r2_hidden @ ( k3_yellow_0 @ A ) @ B ) ) ) ).
thf(zip_derived_cl289,plain,
! [X0: $i,X1: $i] :
( ( v1_xboole_0 @ X0 )
| ~ ( v1_waybel_0 @ X0 @ X1 )
| ~ ( v12_waybel_0 @ X0 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
| ( r2_hidden @ ( k3_yellow_0 @ X1 ) @ X0 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( v1_yellow_0 @ X1 )
| ~ ( v4_orders_2 @ X1 )
| ~ ( v3_orders_2 @ X1 )
| ~ ( v2_orders_2 @ X1 )
| ( v3_struct_0 @ X1 ) ),
inference(cnf,[status(esa)],[t21_waybel_4]) ).
thf(zip_derived_cl29460,plain,
( ( v3_struct_0 @ sk__59 )
| ~ ( v2_orders_2 @ sk__59 )
| ~ ( v3_orders_2 @ sk__59 )
| ~ ( v4_orders_2 @ sk__59 )
| ~ ( v1_yellow_0 @ sk__59 )
| ~ ( l1_orders_2 @ sk__59 )
| ( r2_hidden @ ( k3_yellow_0 @ sk__59 ) @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ) @ sk__59 )
| ~ ( v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ) @ sk__59 )
| ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1289,zip_derived_cl289]) ).
thf(zip_derived_cl400,plain,
~ ( v3_struct_0 @ sk__59 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl399,plain,
v2_orders_2 @ sk__59,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl398,plain,
v3_orders_2 @ sk__59,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl397,plain,
v4_orders_2 @ sk__59,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl396,plain,
v1_yellow_0 @ sk__59,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl394,plain,
l1_orders_2 @ sk__59,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl391,plain,
v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__58 ) @ ( u1_struct_0 @ sk__59 ) ) @ sk__59,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_001,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X1 @ X0 )
= ( k3_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl1288,plain,
v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ) @ sk__59,
inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl17]) ).
thf(zip_derived_cl390,plain,
v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__58 ) @ ( u1_struct_0 @ sk__59 ) ) @ sk__59,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_002,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X1 @ X0 )
= ( k3_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl1287,plain,
v1_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ) @ sk__59,
inference(demod,[status(thm)],[zip_derived_cl390,zip_derived_cl17]) ).
thf(zip_derived_cl389,plain,
~ ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__58 ) @ ( u1_struct_0 @ sk__59 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_003,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X1 @ X0 )
= ( k3_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl1286,plain,
~ ( v1_xboole_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl17]) ).
thf(zip_derived_cl29502,plain,
r2_hidden @ ( k3_yellow_0 @ sk__59 ) @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ),
inference(demod,[status(thm)],[zip_derived_cl29460,zip_derived_cl400,zip_derived_cl399,zip_derived_cl398,zip_derived_cl397,zip_derived_cl396,zip_derived_cl394,zip_derived_cl1288,zip_derived_cl1287,zip_derived_cl1286]) ).
thf(t13_latsum_1,axiom,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l1_orders_2 @ A ) )
=> ! [B: $i] :
( ( ~ ( v3_struct_0 @ B )
& ( l1_orders_2 @ B ) )
=> ! [C: $i] :
( ( r2_hidden @ C @ ( k3_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
=> ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) ) ) ) ).
thf(zip_derived_cl380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( v3_struct_0 @ X0 )
| ~ ( l1_orders_2 @ X0 )
| ( m1_subset_1 @ X1 @ ( u1_struct_0 @ X0 ) )
| ~ ( r2_hidden @ X1 @ ( k3_xboole_0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_orders_2 @ X2 )
| ( v3_struct_0 @ X2 ) ),
inference(cnf,[status(esa)],[t13_latsum_1]) ).
thf(zip_derived_cl42054,plain,
( ( v3_struct_0 @ sk__59 )
| ~ ( l1_orders_2 @ sk__59 )
| ( m1_subset_1 @ ( k3_yellow_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) )
| ~ ( l1_orders_2 @ sk__58 )
| ( v3_struct_0 @ sk__58 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29502,zip_derived_cl380]) ).
thf(zip_derived_cl400_004,plain,
~ ( v3_struct_0 @ sk__59 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl394_005,plain,
l1_orders_2 @ sk__59,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl388,plain,
l1_orders_2 @ sk__58,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl382,plain,
~ ( v3_struct_0 @ sk__58 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42092,plain,
m1_subset_1 @ ( k3_yellow_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ),
inference(demod,[status(thm)],[zip_derived_cl42054,zip_derived_cl400,zip_derived_cl394,zip_derived_cl388,zip_derived_cl382]) ).
thf(d2_subset_1,axiom,
! [A: $i,B: $i] :
( ( ( v1_xboole_0 @ A )
=> ( ( m1_subset_1 @ B @ A )
<=> ( v1_xboole_0 @ B ) ) )
& ( ~ ( v1_xboole_0 @ A )
=> ( ( m1_subset_1 @ B @ A )
<=> ( r2_hidden @ B @ A ) ) ) ) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ X1 )
| ( r2_hidden @ X0 @ X1 )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl42109,plain,
( ( v1_xboole_0 @ ( u1_struct_0 @ sk__58 ) )
| ( r2_hidden @ ( k3_yellow_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42092,zip_derived_cl88]) ).
thf(zip_derived_cl29502_006,plain,
r2_hidden @ ( k3_yellow_0 @ sk__59 ) @ ( k3_xboole_0 @ ( u1_struct_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ) ),
inference(demod,[status(thm)],[zip_derived_cl29460,zip_derived_cl400,zip_derived_cl399,zip_derived_cl398,zip_derived_cl397,zip_derived_cl396,zip_derived_cl394,zip_derived_cl1288,zip_derived_cl1287,zip_derived_cl1286]) ).
thf(zip_derived_cl17_007,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X1 @ X0 )
= ( k3_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(t8_boole,axiom,
! [A: $i,B: $i] :
~ ( ( v1_xboole_0 @ A )
& ( A != B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ~ ( v1_xboole_0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t8_boole]) ).
thf(rc2_subset_1,axiom,
! [A: $i] :
? [B: $i] :
( ( v1_xboole_0 @ B )
& ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i] : ( v1_xboole_0 @ ( sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl504,plain,
! [X0: $i,X1: $i] :
( ( ( sk__12 @ X0 )
= X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl86]) ).
thf(zip_derived_cl21_008,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ~ ( v1_xboole_0 @ X1 )
| ( X0 = X1 ) ),
inference(cnf,[status(esa)],[t8_boole]) ).
thf(rc1_xboole_0,axiom,
? [A: $i] : ( v1_xboole_0 @ A ) ).
thf(zip_derived_cl5,plain,
v1_xboole_0 @ sk__2,
inference(cnf,[status(esa)],[rc1_xboole_0]) ).
thf(zip_derived_cl503,plain,
! [X0: $i] :
( ( sk__2 = X0 )
| ~ ( v1_xboole_0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl5]) ).
thf(zip_derived_cl86_009,plain,
! [X0: $i] : ( v1_xboole_0 @ ( sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl608,plain,
! [X0: $i] :
( sk__2
= ( sk__12 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl503,zip_derived_cl86]) ).
thf(t2_boole,axiom,
! [A: $i] :
( ( k3_xboole_0 @ A @ k1_xboole_0 )
= k1_xboole_0 ) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( k3_xboole_0 @ X0 @ k1_xboole_0 )
= k1_xboole_0 ),
inference(cnf,[status(esa)],[t2_boole]) ).
thf(idempotence_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( k3_xboole_0 @ A @ A )
= A ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( k3_xboole_0 @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence_k3_xboole_0]) ).
thf(t4_xboole_0,axiom,
! [A: $i,B: $i] :
( ~ ( ? [C: $i] : ( r2_hidden @ C @ ( k3_xboole_0 @ A @ B ) )
& ( r1_xboole_0 @ A @ B ) )
& ~ ( ~ ( r1_xboole_0 @ A @ B )
& ! [C: $i] :
~ ( r2_hidden @ C @ ( k3_xboole_0 @ A @ B ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( r1_xboole_0 @ X0 @ X1 )
| ( r2_hidden @ ( sk__5 @ X1 @ X0 ) @ ( k3_xboole_0 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl1192,plain,
! [X0: $i,X1: $i] :
( ( r1_xboole_0 @ X1 @ X0 )
| ~ ( v1_xboole_0 @ ( k3_xboole_0 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).
thf(zip_derived_cl2151,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ( r1_xboole_0 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl1192]) ).
thf(zip_derived_cl18_010,plain,
! [X0: $i] :
( ( k3_xboole_0 @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence_k3_xboole_0]) ).
thf(d7_xboole_0,axiom,
! [A: $i,B: $i] :
( ( r1_xboole_0 @ A @ B )
<=> ( ( k3_xboole_0 @ A @ B )
= k1_xboole_0 ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( ( k3_xboole_0 @ X0 @ X1 )
= k1_xboole_0 )
| ~ ( r1_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl1119,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ ( r1_xboole_0 @ X0 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl13]) ).
thf(zip_derived_cl2343,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ X0 )
| ( X0 = k1_xboole_0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2151,zip_derived_cl1119]) ).
thf(zip_derived_cl5_011,plain,
v1_xboole_0 @ sk__2,
inference(cnf,[status(esa)],[rc1_xboole_0]) ).
thf(zip_derived_cl2538,plain,
sk__2 = k1_xboole_0,
inference('sup+',[status(thm)],[zip_derived_cl2343,zip_derived_cl5]) ).
thf(zip_derived_cl2538_012,plain,
sk__2 = k1_xboole_0,
inference('sup+',[status(thm)],[zip_derived_cl2343,zip_derived_cl5]) ).
thf(zip_derived_cl2594,plain,
! [X0: $i] :
( ( k3_xboole_0 @ X0 @ sk__2 )
= sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl2538,zip_derived_cl2538]) ).
thf(zip_derived_cl1192_013,plain,
! [X0: $i,X1: $i] :
( ( r1_xboole_0 @ X1 @ X0 )
| ~ ( v1_xboole_0 @ ( k3_xboole_0 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).
thf(zip_derived_cl2915,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ sk__2 )
| ( r1_xboole_0 @ X0 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2594,zip_derived_cl1192]) ).
thf(zip_derived_cl5_014,plain,
v1_xboole_0 @ sk__2,
inference(cnf,[status(esa)],[rc1_xboole_0]) ).
thf(zip_derived_cl2934,plain,
! [X0: $i] : ( r1_xboole_0 @ X0 @ sk__2 ),
inference(demod,[status(thm)],[zip_derived_cl2915,zip_derived_cl5]) ).
thf(zip_derived_cl3011,plain,
! [X0: $i,X1: $i] : ( r1_xboole_0 @ X1 @ ( sk__12 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl608,zip_derived_cl2934]) ).
thf(zip_derived_cl17_015,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X1 @ X0 )
= ( k3_xboole_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(t51_xboole_1,axiom,
! [A: $i,B: $i] :
( ( k2_xboole_0 @ ( k3_xboole_0 @ A @ B ) @ ( k4_xboole_0 @ A @ B ) )
= A ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ( k2_xboole_0 @ ( k3_xboole_0 @ X0 @ X1 ) @ ( k4_xboole_0 @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[t51_xboole_1]) ).
thf(t21_xboole_1,axiom,
! [A: $i,B: $i] :
( ( k3_xboole_0 @ A @ ( k2_xboole_0 @ A @ B ) )
= A ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0 @ X0 @ ( k2_xboole_0 @ X0 @ X1 ) )
= X0 ),
inference(cnf,[status(esa)],[t21_xboole_1]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X0 @ ( k3_xboole_0 @ X1 @ X2 ) )
| ~ ( r1_xboole_0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
thf(zip_derived_cl2113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X2 @ X0 )
| ~ ( r1_xboole_0 @ X0 @ ( k2_xboole_0 @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl16]) ).
thf(zip_derived_cl3447,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1_xboole_0 @ ( k3_xboole_0 @ X0 @ X1 ) @ X0 )
| ~ ( r2_hidden @ X2 @ ( k3_xboole_0 @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2113]) ).
thf(zip_derived_cl3643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1_xboole_0 @ ( k3_xboole_0 @ X1 @ X0 ) @ X0 )
| ~ ( r2_hidden @ X2 @ ( k3_xboole_0 @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl3447]) ).
thf(zip_derived_cl6591,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( r2_hidden @ X2 @ ( k3_xboole_0 @ ( sk__12 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3011,zip_derived_cl3643]) ).
thf(zip_derived_cl6645,plain,
! [X0: $i,X1: $i,X3: $i] :
( ~ ( r2_hidden @ X3 @ ( k3_xboole_0 @ X0 @ X1 ) )
| ~ ( v1_xboole_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl504,zip_derived_cl6591]) ).
thf(zip_derived_cl6673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X2 @ ( k3_xboole_0 @ X1 @ X0 ) )
| ~ ( v1_xboole_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl6645]) ).
thf(zip_derived_cl29557,plain,
~ ( v1_xboole_0 @ ( u1_struct_0 @ sk__58 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29502,zip_derived_cl6673]) ).
thf(zip_derived_cl42127,plain,
r2_hidden @ ( k3_yellow_0 @ sk__59 ) @ ( u1_struct_0 @ sk__58 ),
inference(demod,[status(thm)],[zip_derived_cl42109,zip_derived_cl29557]) ).
thf(zip_derived_cl42138,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl393,zip_derived_cl42127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU411+4 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HdVxVY9jUK true
% 0.16/0.34 % Computer : n029.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Wed Aug 23 19:38:50 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.19/0.63 % Total configuration time : 435
% 0.19/0.63 % Estimated wc time : 1092
% 0.19/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 103.14/15.32 % Solved by fo/fo4.sh.
% 103.14/15.32 % done 7041 iterations in 14.523s
% 103.14/15.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 103.14/15.32 % SZS output start Refutation
% See solution above
% 103.14/15.33
% 103.14/15.33
% 103.14/15.33 % Terminating...
% 103.30/15.38 % Runner terminated.
% 103.30/15.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------