TSTP Solution File: SEU413+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU413+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.6bQlujTX0s true
% Computer : n005.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 1.35s 0.79s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 47 ( 14 unt; 16 typ; 0 def)
% Number of atoms : 103 ( 6 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 527 ( 45 ~; 43 |; 11 &; 410 @)
% ( 1 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(k3_xboole_0_type,type,
k3_xboole_0: $i > $i > $i ).
thf(l1_orders_2_type,type,
l1_orders_2: $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(u1_struct_0_type,type,
u1_struct_0: $i > $i ).
thf(v1_orders_2_type,type,
v1_orders_2: $i > $o ).
thf(k1_latsum_1_type,type,
k1_latsum_1: $i > $i > $i ).
thf(u1_orders_2_type,type,
u1_orders_2: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(k4_tarski_type,type,
k4_tarski: $i > $i > $i ).
thf(r1_orders_2_type,type,
r1_orders_2: $i > $i > $i > $o ).
thf(v12_waybel_0_type,type,
v12_waybel_0: $i > $i > $o ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(t23_latsum_1,conjecture,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ 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 ) ) )
& ( r1_orders_2 @ ( k1_latsum_1 @ A @ B ) @ C @ D )
& ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
=> ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) )
=> ! [D: $i] :
( ( m1_subset_1 @ D @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ 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 ) ) )
& ( r1_orders_2 @ ( k1_latsum_1 @ A @ B ) @ C @ D )
& ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
=> ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t23_latsum_1]) ).
thf(zip_derived_cl4,plain,
~ ( r2_hidden @ sk__2 @ ( u1_struct_0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_k1_latsum_1,axiom,
! [A: $i,B: $i] :
( ( ( l1_orders_2 @ A )
& ( l1_orders_2 @ B ) )
=> ( ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) )
& ( l1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( l1_orders_2 @ X0 )
| ~ ( l1_orders_2 @ X1 )
| ( l1_orders_2 @ ( k1_latsum_1 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k1_latsum_1]) ).
thf(zip_derived_cl5,plain,
r1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d9_orders_2,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
=> ( ( r1_orders_2 @ A @ B @ C )
<=> ( r2_hidden @ ( k4_tarski @ B @ C ) @ ( u1_orders_2 @ A ) ) ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ X1 ) )
| ~ ( r1_orders_2 @ X1 @ X0 @ X2 )
| ( r2_hidden @ ( k4_tarski @ X0 @ X2 ) @ ( u1_orders_2 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_orders_2 @ X1 ) ),
inference(cnf,[status(esa)],[d9_orders_2]) ).
thf(zip_derived_cl224,plain,
( ~ ( l1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) )
| ~ ( m1_subset_1 @ sk__3 @ ( u1_struct_0 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) )
| ( r2_hidden @ ( k4_tarski @ sk__2 @ sk__3 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) )
| ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl7,plain,
m1_subset_1 @ sk__3 @ ( u1_struct_0 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
m1_subset_1 @ sk__2 @ ( u1_struct_0 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl282,plain,
( ~ ( l1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) )
| ( r2_hidden @ ( k4_tarski @ sk__2 @ sk__3 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl283,plain,
( ~ ( l1_orders_2 @ sk__1 )
| ~ ( l1_orders_2 @ sk_ )
| ( r2_hidden @ ( k4_tarski @ sk__2 @ sk__3 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl282]) ).
thf(zip_derived_cl8,plain,
l1_orders_2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl284,plain,
r2_hidden @ ( k4_tarski @ sk__2 @ sk__3 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl283,zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
r2_hidden @ sk__3 @ ( u1_struct_0 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t21_latsum_1,axiom,
! [A: $i] :
( ( l1_orders_2 @ A )
=> ! [B: $i] :
( ( l1_orders_2 @ B )
=> ! [C: $i,D: $i] :
( ( ( 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 @ ( k4_tarski @ C @ D ) @ ( u1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) )
& ( r2_hidden @ D @ ( u1_struct_0 @ A ) ) )
=> ( r2_hidden @ C @ ( u1_struct_0 @ A ) ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( l1_orders_2 @ X0 )
| ( r2_hidden @ X1 @ ( u1_struct_0 @ X2 ) )
| ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ~ ( v12_waybel_0 @ ( k3_xboole_0 @ ( u1_struct_0 @ X2 ) @ ( u1_struct_0 @ X0 ) ) @ X0 )
| ~ ( r2_hidden @ ( k4_tarski @ X1 @ X3 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ X2 @ X0 ) ) )
| ~ ( r2_hidden @ X3 @ ( u1_struct_0 @ X2 ) )
| ~ ( l1_orders_2 @ X2 ) ),
inference(cnf,[status(esa)],[t21_latsum_1]) ).
thf(zip_derived_cl219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
!= ( k3_xboole_0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) ) )
| ( sk__1 != X0 )
| ~ ( l1_orders_2 @ X1 )
| ~ ( r2_hidden @ X3 @ ( u1_struct_0 @ X1 ) )
| ~ ( r2_hidden @ ( k4_tarski @ X2 @ X3 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ X1 @ X0 ) ) )
| ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
| ( r2_hidden @ X2 @ ( u1_struct_0 @ X1 ) )
| ~ ( l1_orders_2 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl46]) ).
thf(zip_derived_cl384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( l1_orders_2 @ sk__1 )
| ( r2_hidden @ X1 @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ sk__1 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__1 ) ) )
| ~ ( r2_hidden @ ( k4_tarski @ X1 @ X2 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ X0 @ sk__1 ) ) )
| ~ ( r2_hidden @ X2 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_orders_2 @ X0 )
| ( ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
!= ( k3_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ sk__1 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl8_001,plain,
l1_orders_2 @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r2_hidden @ X1 @ ( u1_struct_0 @ X0 ) )
| ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ sk__1 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__1 ) ) )
| ~ ( r2_hidden @ ( k4_tarski @ X1 @ X2 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ X0 @ sk__1 ) ) )
| ~ ( r2_hidden @ X2 @ ( u1_struct_0 @ X0 ) )
| ~ ( l1_orders_2 @ X0 )
| ( ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
!= ( k3_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl384,zip_derived_cl8]) ).
thf(zip_derived_cl386,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__1 ) ) )
| ~ ( r2_hidden @ ( k4_tarski @ X0 @ sk__3 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) )
| ~ ( l1_orders_2 @ sk_ )
| ( ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
!= ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl385]) ).
thf(zip_derived_cl3,plain,
m1_subset_1 @ ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_002,plain,
l1_orders_2 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl389,plain,
! [X0: $i] :
( ( r2_hidden @ X0 @ ( u1_struct_0 @ sk_ ) )
| ~ ( r2_hidden @ ( k4_tarski @ X0 @ sk__3 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) )
| ( ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) )
!= ( k3_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl386,zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl390,plain,
! [X0: $i] :
( ~ ( r2_hidden @ ( k4_tarski @ X0 @ sk__3 ) @ ( u1_orders_2 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) )
| ( r2_hidden @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl389]) ).
thf(zip_derived_cl438,plain,
r2_hidden @ sk__2 @ ( u1_struct_0 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl390]) ).
thf(zip_derived_cl449,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU413+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6bQlujTX0s true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 18:35:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.79 % Solved by fo/fo6_bce.sh.
% 1.35/0.79 % BCE start: 56
% 1.35/0.79 % BCE eliminated: 3
% 1.35/0.79 % PE start: 53
% 1.35/0.79 logic: eq
% 1.35/0.79 % PE eliminated: 8
% 1.35/0.79 % done 74 iterations in 0.061s
% 1.35/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.79 % SZS output start Refutation
% See solution above
% 1.35/0.79
% 1.35/0.79
% 1.35/0.79 % Terminating...
% 1.35/0.86 % Runner terminated.
% 1.35/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------