TSTP Solution File: LAT359+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT359+1 : 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.HiM5wWDiFb true
% Computer : n021.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 06:47:16 EDT 2023
% Result : Theorem 1.94s 0.89s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 42
% Syntax : Number of formulae : 107 ( 29 unt; 29 typ; 0 def)
% Number of atoms : 192 ( 35 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 747 ( 91 ~; 70 |; 22 &; 542 @)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 6 con; 0-3 aty)
% Number of variables : 105 ( 0 ^; 105 !; 0 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
thf(v3_struct_0_type,type,
v3_struct_0: $i > $o ).
thf(k4_tarski_type,type,
k4_tarski: $i > $i > $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(v1_relat_1_type,type,
v1_relat_1: $i > $o ).
thf(k1_altcat_1_type,type,
k1_altcat_1: $i > $i > $i > $i ).
thf(v3_membered_type,type,
v3_membered: $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(l2_altcat_1_type,type,
l2_altcat_1: $i > $o ).
thf(v2_membered_type,type,
v2_membered: $i > $o ).
thf(k1_relat_1_type,type,
k1_relat_1: $i > $i ).
thf(k2_tarski_type,type,
k2_tarski: $i > $i > $i ).
thf(v1_funct_1_type,type,
v1_funct_1: $i > $o ).
thf(v1_membered_type,type,
v1_membered: $i > $o ).
thf(l1_altcat_1_type,type,
l1_altcat_1: $i > $o ).
thf(k1_binop_1_type,type,
k1_binop_1: $i > $i > $i > $i ).
thf(k1_funct_1_type,type,
k1_funct_1: $i > $i > $i ).
thf(v5_membered_type,type,
v5_membered: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(v4_membered_type,type,
v4_membered: $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(k1_tarski_type,type,
k1_tarski: $i > $i ).
thf(m1_pboole_type,type,
m1_pboole: $i > $i > $o ).
thf(u1_altcat_1_type,type,
u1_altcat_1: $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(t12_waybel34,conjecture,
! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i,C: $i,D: $i] :
~ ( ( r2_hidden @ D @ ( k1_binop_1 @ ( u1_altcat_1 @ A ) @ B @ C ) )
& ! [E: $i] :
( ( m1_subset_1 @ E @ ( u1_struct_0 @ A ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( u1_struct_0 @ A ) )
=> ~ ( ( E = B )
& ( F = C )
& ( r2_hidden @ D @ ( k1_altcat_1 @ A @ E @ F ) )
& ( m1_subset_1 @ D @ ( k1_altcat_1 @ A @ E @ F ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( v3_struct_0 @ A )
& ( l2_altcat_1 @ A ) )
=> ! [B: $i,C: $i,D: $i] :
~ ( ( r2_hidden @ D @ ( k1_binop_1 @ ( u1_altcat_1 @ A ) @ B @ C ) )
& ! [E: $i] :
( ( m1_subset_1 @ E @ ( u1_struct_0 @ A ) )
=> ! [F: $i] :
( ( m1_subset_1 @ F @ ( u1_struct_0 @ A ) )
=> ~ ( ( E = B )
& ( F = C )
& ( r2_hidden @ D @ ( k1_altcat_1 @ A @ E @ F ) )
& ( m1_subset_1 @ D @ ( k1_altcat_1 @ A @ E @ F ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t12_waybel34]) ).
thf(zip_derived_cl103,plain,
r2_hidden @ sk__13 @ ( k1_binop_1 @ ( u1_altcat_1 @ sk__10 ) @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102,plain,
l2_altcat_1 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_l2_altcat_1,axiom,
! [A: $i] :
( ( l2_altcat_1 @ A )
=> ( l1_altcat_1 @ A ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( l1_altcat_1 @ X0 )
| ~ ( l2_altcat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_l2_altcat_1]) ).
thf(zip_derived_cl545,plain,
l1_altcat_1 @ sk__10,
inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl37]) ).
thf(d2_altcat_1,axiom,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( k1_altcat_1 @ A @ B @ C )
= ( k1_binop_1 @ ( u1_altcat_1 @ A ) @ B @ C ) ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ( ( k1_altcat_1 @ X1 @ X0 @ X2 )
= ( k1_binop_1 @ ( u1_altcat_1 @ X1 ) @ X0 @ X2 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_altcat_1 @ X1 ) ),
inference(cnf,[status(esa)],[d2_altcat_1]) ).
thf(zip_derived_cl606,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__10 ) )
| ( ( k1_altcat_1 @ sk__10 @ X0 @ X1 )
= ( k1_binop_1 @ ( u1_altcat_1 @ sk__10 ) @ X0 @ X1 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__10 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl545,zip_derived_cl28]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__10 ) )
| ( X0 != sk__12 )
| ~ ( r2_hidden @ sk__13 @ ( k1_altcat_1 @ sk__10 @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ sk__13 @ ( k1_altcat_1 @ sk__10 @ X1 @ X0 ) )
| ( X1 != sk__11 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__10 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( r2_hidden @ A @ B )
=> ( m1_subset_1 @ A @ B ) ) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ X1 )
| ~ ( r2_hidden @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl1243,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__10 ) )
| ( X1 != sk__11 )
| ~ ( r2_hidden @ sk__13 @ ( k1_altcat_1 @ sk__10 @ X1 @ X0 ) )
| ( X0 != sk__12 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__10 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl104,zip_derived_cl96]) ).
thf(zip_derived_cl1338,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ sk__13 @ ( k1_binop_1 @ ( u1_altcat_1 @ sk__10 ) @ X1 @ X0 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__10 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__10 ) )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__10 ) )
| ( X0 != sk__12 )
| ( X1 != sk__11 )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl606,zip_derived_cl1243]) ).
thf(zip_derived_cl1339,plain,
! [X0: $i,X1: $i] :
( ( X1 != sk__11 )
| ( X0 != sk__12 )
| ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__10 ) )
| ~ ( m1_subset_1 @ X1 @ ( u1_struct_0 @ sk__10 ) )
| ~ ( r2_hidden @ sk__13 @ ( k1_binop_1 @ ( u1_altcat_1 @ sk__10 ) @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1338]) ).
thf(zip_derived_cl1361,plain,
( ~ ( m1_subset_1 @ sk__11 @ ( u1_struct_0 @ sk__10 ) )
| ~ ( m1_subset_1 @ sk__12 @ ( u1_struct_0 @ sk__10 ) )
| ( sk__12 != sk__12 )
| ( sk__11 != sk__11 ) ),
inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl1339]) ).
thf(zip_derived_cl1363,plain,
( ~ ( m1_subset_1 @ sk__12 @ ( u1_struct_0 @ sk__10 ) )
| ~ ( m1_subset_1 @ sk__11 @ ( u1_struct_0 @ sk__10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1361]) ).
thf(zip_derived_cl96_001,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ X1 )
| ~ ( r2_hidden @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl1366,plain,
( ~ ( m1_subset_1 @ sk__11 @ ( u1_struct_0 @ sk__10 ) )
| ~ ( r2_hidden @ sk__12 @ ( u1_struct_0 @ sk__10 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1363,zip_derived_cl96]) ).
thf(zip_derived_cl96_002,plain,
! [X0: $i,X1: $i] :
( ( m1_subset_1 @ X0 @ X1 )
| ~ ( r2_hidden @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl1368,plain,
( ~ ( r2_hidden @ sk__12 @ ( u1_struct_0 @ sk__10 ) )
| ~ ( r2_hidden @ sk__11 @ ( u1_struct_0 @ sk__10 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1366,zip_derived_cl96]) ).
thf(d4_funct_1,axiom,
! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) )
=> ! [B: $i,C: $i] :
( ( ~ ( r2_hidden @ B @ ( k1_relat_1 @ A ) )
=> ( ( C
= ( k1_funct_1 @ A @ B ) )
<=> ( C = k1_xboole_0 ) ) )
& ( ( r2_hidden @ B @ ( k1_relat_1 @ A ) )
=> ( ( C
= ( k1_funct_1 @ A @ B ) )
<=> ( r2_hidden @ ( k4_tarski @ B @ C ) @ A ) ) ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r2_hidden @ X0 @ ( k1_relat_1 @ X1 ) )
| ( X2 = k1_xboole_0 )
| ( X2
!= ( k1_funct_1 @ X1 @ X0 ) )
| ~ ( v1_funct_1 @ X1 )
| ~ ( v1_relat_1 @ X1 ) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
thf(zip_derived_cl1089,plain,
! [X0: $i,X1: $i] :
( ~ ( v1_relat_1 @ X0 )
| ~ ( v1_funct_1 @ X0 )
| ( ( k1_funct_1 @ X0 @ X1 )
= k1_xboole_0 )
| ( r2_hidden @ X1 @ ( k1_relat_1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl31]) ).
thf(d1_binop_1,axiom,
! [A: $i] :
( ( ( v1_relat_1 @ A )
& ( v1_funct_1 @ A ) )
=> ! [B: $i,C: $i] :
( ( k1_binop_1 @ A @ B @ C )
= ( k1_funct_1 @ A @ ( k4_tarski @ B @ C ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( k1_binop_1 @ X0 @ X1 @ X2 )
= ( k1_funct_1 @ X0 @ ( k4_tarski @ X1 @ X2 ) ) )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_relat_1 @ X0 ) ),
inference(cnf,[status(esa)],[d1_binop_1]) ).
thf(zip_derived_cl103_003,plain,
r2_hidden @ sk__13 @ ( k1_binop_1 @ ( u1_altcat_1 @ sk__10 ) @ sk__11 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( r2_hidden @ A @ B )
& ( v1_xboole_0 @ B ) ) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl1116,plain,
~ ( v1_xboole_0 @ ( k1_binop_1 @ ( u1_altcat_1 @ sk__10 ) @ sk__11 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl99]) ).
thf(zip_derived_cl1120,plain,
( ~ ( v1_xboole_0 @ ( k1_funct_1 @ ( u1_altcat_1 @ sk__10 ) @ ( k4_tarski @ sk__11 @ sk__12 ) ) )
| ~ ( v1_relat_1 @ ( u1_altcat_1 @ sk__10 ) )
| ~ ( v1_funct_1 @ ( u1_altcat_1 @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1116]) ).
thf(zip_derived_cl545_004,plain,
l1_altcat_1 @ sk__10,
inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl37]) ).
thf(dt_u1_altcat_1,axiom,
! [A: $i] :
( ( l1_altcat_1 @ A )
=> ( m1_pboole @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_altcat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_altcat_1]) ).
thf(dt_m1_pboole,axiom,
! [A: $i,B: $i] :
( ( m1_pboole @ B @ A )
=> ( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( v1_relat_1 @ X0 )
| ~ ( m1_pboole @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_pboole]) ).
thf(zip_derived_cl566,plain,
! [X0: $i] :
( ~ ( l1_altcat_1 @ X0 )
| ( v1_relat_1 @ ( u1_altcat_1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl38]) ).
thf(zip_derived_cl614,plain,
v1_relat_1 @ ( u1_altcat_1 @ sk__10 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl545,zip_derived_cl566]) ).
thf(zip_derived_cl545_005,plain,
l1_altcat_1 @ sk__10,
inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl37]) ).
thf(zip_derived_cl40_006,plain,
! [X0: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_altcat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_altcat_1]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( v1_funct_1 @ X0 )
| ~ ( m1_pboole @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_pboole]) ).
thf(zip_derived_cl567,plain,
! [X0: $i] :
( ~ ( l1_altcat_1 @ X0 )
| ( v1_funct_1 @ ( u1_altcat_1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl39]) ).
thf(zip_derived_cl615,plain,
v1_funct_1 @ ( u1_altcat_1 @ sk__10 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl545,zip_derived_cl567]) ).
thf(zip_derived_cl1121,plain,
~ ( v1_xboole_0 @ ( k1_funct_1 @ ( u1_altcat_1 @ sk__10 ) @ ( k4_tarski @ sk__11 @ sk__12 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1120,zip_derived_cl614,zip_derived_cl615]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( k4_tarski @ A @ B )
= ( k2_tarski @ ( k2_tarski @ A @ B ) @ ( k1_tarski @ A ) ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ( k4_tarski @ X0 @ X1 )
= ( k2_tarski @ ( k2_tarski @ X0 @ X1 ) @ ( k1_tarski @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(zip_derived_cl1151,plain,
~ ( v1_xboole_0 @ ( k1_funct_1 @ ( u1_altcat_1 @ sk__10 ) @ ( k2_tarski @ ( k2_tarski @ sk__11 @ sk__12 ) @ ( k1_tarski @ sk__11 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1121,zip_derived_cl35]) ).
thf(zip_derived_cl1341,plain,
( ~ ( v1_xboole_0 @ k1_xboole_0 )
| ( r2_hidden @ ( k2_tarski @ ( k2_tarski @ sk__11 @ sk__12 ) @ ( k1_tarski @ sk__11 ) ) @ ( k1_relat_1 @ ( u1_altcat_1 @ sk__10 ) ) )
| ~ ( v1_funct_1 @ ( u1_altcat_1 @ sk__10 ) )
| ~ ( v1_relat_1 @ ( u1_altcat_1 @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1089,zip_derived_cl1151]) ).
thf(fc6_membered,axiom,
( ( v5_membered @ k1_xboole_0 )
& ( v4_membered @ k1_xboole_0 )
& ( v3_membered @ k1_xboole_0 )
& ( v2_membered @ k1_xboole_0 )
& ( v1_membered @ k1_xboole_0 )
& ( v1_xboole_0 @ k1_xboole_0 ) ) ).
thf(zip_derived_cl71,plain,
v1_xboole_0 @ k1_xboole_0,
inference(cnf,[status(esa)],[fc6_membered]) ).
thf(zip_derived_cl615_007,plain,
v1_funct_1 @ ( u1_altcat_1 @ sk__10 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl545,zip_derived_cl567]) ).
thf(zip_derived_cl614_008,plain,
v1_relat_1 @ ( u1_altcat_1 @ sk__10 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl545,zip_derived_cl566]) ).
thf(zip_derived_cl1351,plain,
r2_hidden @ ( k2_tarski @ ( k2_tarski @ sk__11 @ sk__12 ) @ ( k1_tarski @ sk__11 ) ) @ ( k1_relat_1 @ ( u1_altcat_1 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1341,zip_derived_cl71,zip_derived_cl615,zip_derived_cl614]) ).
thf(zip_derived_cl545_009,plain,
l1_altcat_1 @ sk__10,
inference('dp-resolution',[status(thm)],[zip_derived_cl102,zip_derived_cl37]) ).
thf(zip_derived_cl40_010,plain,
! [X0: $i] :
( ( m1_pboole @ ( u1_altcat_1 @ X0 ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) )
| ~ ( l1_altcat_1 @ X0 ) ),
inference(cnf,[status(esa)],[dt_u1_altcat_1]) ).
thf(d3_pboole,axiom,
! [A: $i,B: $i] :
( ( ( v1_relat_1 @ B )
& ( v1_funct_1 @ B ) )
=> ( ( m1_pboole @ B @ A )
<=> ( ( k1_relat_1 @ B )
= A ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_pboole @ X0 @ X1 )
| ( ( k1_relat_1 @ X0 )
= X1 )
| ~ ( v1_funct_1 @ X0 )
| ~ ( v1_relat_1 @ X0 ) ),
inference(cnf,[status(esa)],[d3_pboole]) ).
thf(zip_derived_cl565,plain,
! [X0: $i] :
( ~ ( l1_altcat_1 @ X0 )
| ~ ( v1_relat_1 @ ( u1_altcat_1 @ X0 ) )
| ~ ( v1_funct_1 @ ( u1_altcat_1 @ X0 ) )
| ( ( k1_relat_1 @ ( u1_altcat_1 @ X0 ) )
= ( k2_zfmisc_1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl30]) ).
thf(zip_derived_cl613,plain,
( ( ( k1_relat_1 @ ( u1_altcat_1 @ sk__10 ) )
= ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) @ ( u1_struct_0 @ sk__10 ) ) )
| ~ ( v1_funct_1 @ ( u1_altcat_1 @ sk__10 ) )
| ~ ( v1_relat_1 @ ( u1_altcat_1 @ sk__10 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl545,zip_derived_cl565]) ).
thf(zip_derived_cl615_011,plain,
v1_funct_1 @ ( u1_altcat_1 @ sk__10 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl545,zip_derived_cl567]) ).
thf(zip_derived_cl614_012,plain,
v1_relat_1 @ ( u1_altcat_1 @ sk__10 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl545,zip_derived_cl566]) ).
thf(zip_derived_cl1265,plain,
( ( k1_relat_1 @ ( u1_altcat_1 @ sk__10 ) )
= ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) @ ( u1_struct_0 @ sk__10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl613,zip_derived_cl615,zip_derived_cl614]) ).
thf(t106_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( r2_hidden @ ( k4_tarski @ A @ B ) @ ( k2_zfmisc_1 @ C @ D ) )
<=> ( ( r2_hidden @ A @ C )
& ( r2_hidden @ B @ D ) ) ) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r2_hidden @ X0 @ X1 )
| ~ ( r2_hidden @ ( k4_tarski @ X0 @ X2 ) @ ( k2_zfmisc_1 @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[t106_zfmisc_1]) ).
thf(zip_derived_cl35_013,plain,
! [X0: $i,X1: $i] :
( ( k4_tarski @ X0 @ X1 )
= ( k2_tarski @ ( k2_tarski @ X0 @ X1 ) @ ( k1_tarski @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(zip_derived_cl1207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r2_hidden @ X0 @ X1 )
| ~ ( r2_hidden @ ( k2_tarski @ ( k2_tarski @ X0 @ X2 ) @ ( k1_tarski @ X0 ) ) @ ( k2_zfmisc_1 @ X1 @ X3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl35]) ).
thf(zip_derived_cl1266,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ ( k2_tarski @ ( k2_tarski @ X0 @ X1 ) @ ( k1_tarski @ X0 ) ) @ ( k1_relat_1 @ ( u1_altcat_1 @ sk__10 ) ) )
| ( r2_hidden @ X0 @ ( u1_struct_0 @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1265,zip_derived_cl1207]) ).
thf(zip_derived_cl1391,plain,
r2_hidden @ sk__11 @ ( u1_struct_0 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl1266]) ).
thf(zip_derived_cl1402,plain,
~ ( r2_hidden @ sk__12 @ ( u1_struct_0 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1368,zip_derived_cl1391]) ).
thf(zip_derived_cl1351_014,plain,
r2_hidden @ ( k2_tarski @ ( k2_tarski @ sk__11 @ sk__12 ) @ ( k1_tarski @ sk__11 ) ) @ ( k1_relat_1 @ ( u1_altcat_1 @ sk__10 ) ),
inference(demod,[status(thm)],[zip_derived_cl1341,zip_derived_cl71,zip_derived_cl615,zip_derived_cl614]) ).
thf(zip_derived_cl1265_015,plain,
( ( k1_relat_1 @ ( u1_altcat_1 @ sk__10 ) )
= ( k2_zfmisc_1 @ ( u1_struct_0 @ sk__10 ) @ ( u1_struct_0 @ sk__10 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl613,zip_derived_cl615,zip_derived_cl614]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r2_hidden @ X0 @ X1 )
| ~ ( r2_hidden @ ( k4_tarski @ X2 @ X0 ) @ ( k2_zfmisc_1 @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[t106_zfmisc_1]) ).
thf(zip_derived_cl35_016,plain,
! [X0: $i,X1: $i] :
( ( k4_tarski @ X0 @ X1 )
= ( k2_tarski @ ( k2_tarski @ X0 @ X1 ) @ ( k1_tarski @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(zip_derived_cl1219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r2_hidden @ X0 @ X1 )
| ~ ( r2_hidden @ ( k2_tarski @ ( k2_tarski @ X2 @ X0 ) @ ( k1_tarski @ X2 ) ) @ ( k2_zfmisc_1 @ X3 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl35]) ).
thf(zip_derived_cl1267,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ ( k2_tarski @ ( k2_tarski @ X0 @ X1 ) @ ( k1_tarski @ X0 ) ) @ ( k1_relat_1 @ ( u1_altcat_1 @ sk__10 ) ) )
| ( r2_hidden @ X1 @ ( u1_struct_0 @ sk__10 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1265,zip_derived_cl1219]) ).
thf(zip_derived_cl1392,plain,
r2_hidden @ sk__12 @ ( u1_struct_0 @ sk__10 ),
inference('sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl1267]) ).
thf(zip_derived_cl1418,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1402,zip_derived_cl1392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT359+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HiM5wWDiFb true
% 0.19/0.35 % Computer : n021.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Thu Aug 24 04:26:39 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.46/0.80 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.94/0.89 % Solved by fo/fo3_bce.sh.
% 1.94/0.89 % BCE start: 105
% 1.94/0.89 % BCE eliminated: 2
% 1.94/0.89 % PE start: 103
% 1.94/0.89 logic: eq
% 1.94/0.89 % PE eliminated: -33
% 1.94/0.89 % done 312 iterations in 0.114s
% 1.94/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.94/0.89 % SZS output start Refutation
% See solution above
% 1.94/0.89
% 1.94/0.89
% 1.94/0.89 % Terminating...
% 2.20/0.96 % Runner terminated.
% 2.20/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------