TSTP Solution File: CAT033+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.csvTODWWH4 true
% Computer : n003.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 : Wed Aug 30 18:21:09 EDT 2023
% Result : Theorem 1.61s 0.86s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 40 ( 11 unt; 13 typ; 0 def)
% Number of atoms : 92 ( 25 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 301 ( 59 ~; 50 |; 5 &; 177 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(v2_cat_1_type,type,
v2_cat_1: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(u1_cat_1_type,type,
u1_cat_1: $i > $i ).
thf(k17_ens_1_type,type,
k17_ens_1: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(k12_ens_1_type,type,
k12_ens_1: $i > $i ).
thf(m2_cat_1_type,type,
m2_cat_1: $i > $i > $i > $o ).
thf(l1_cat_1_type,type,
l1_cat_1: $i > $o ).
thf(k1_yoneda_1_type,type,
k1_yoneda_1: $i > $i ).
thf(r1_tarski_type,type,
r1_tarski: $i > $i > $o ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k20_ens_1_type,type,
k20_ens_1: $i > $i > $i ).
thf(d1_yoneda_1,axiom,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ( ( k1_yoneda_1 @ A )
= ( k12_ens_1 @ ( k17_ens_1 @ A ) ) ) ) ).
thf(zip_derived_cl82,plain,
! [X0: $i] :
( ( ( k1_yoneda_1 @ X0 )
= ( k12_ens_1 @ ( k17_ens_1 @ X0 ) ) )
| ~ ( l1_cat_1 @ X0 )
| ~ ( v2_cat_1 @ X0 ) ),
inference(cnf,[status(esa)],[d1_yoneda_1]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( r1_tarski @ A @ A ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] : ( r1_tarski @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(t49_ens_1,axiom,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
=> ! [B: $i] :
( ( ( v2_cat_1 @ B )
& ( l1_cat_1 @ B ) )
=> ! [C: $i] :
( ( m1_subset_1 @ C @ ( u1_cat_1 @ B ) )
=> ( ( r1_tarski @ ( k17_ens_1 @ B ) @ A )
=> ( m2_cat_1 @ ( k20_ens_1 @ B @ C ) @ B @ ( k12_ens_1 @ A ) ) ) ) ) ) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( v2_cat_1 @ X0 )
| ~ ( l1_cat_1 @ X0 )
| ~ ( r1_tarski @ ( k17_ens_1 @ X0 ) @ X1 )
| ( m2_cat_1 @ ( k20_ens_1 @ X0 @ X2 ) @ X0 @ ( k12_ens_1 @ X1 ) )
| ~ ( m1_subset_1 @ X2 @ ( u1_cat_1 @ X0 ) )
| ( v1_xboole_0 @ X1 ) ),
inference(cnf,[status(esa)],[t49_ens_1]) ).
thf(zip_derived_cl600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0
!= ( k17_ens_1 @ X1 ) )
| ( X0 != X2 )
| ( v1_xboole_0 @ X2 )
| ~ ( m1_subset_1 @ X3 @ ( u1_cat_1 @ X1 ) )
| ( m2_cat_1 @ ( k20_ens_1 @ X1 @ X3 ) @ X1 @ ( k12_ens_1 @ X2 ) )
| ~ ( l1_cat_1 @ X1 )
| ~ ( v2_cat_1 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl83]) ).
thf(t2_yoneda_1,conjecture,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
=> ( m2_cat_1 @ ( k20_ens_1 @ A @ B ) @ A @ ( k1_yoneda_1 @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ! [B: $i] :
( ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
=> ( m2_cat_1 @ ( k20_ens_1 @ A @ B ) @ A @ ( k1_yoneda_1 @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t2_yoneda_1]) ).
thf(zip_derived_cl2,plain,
~ ( m2_cat_1 @ ( k20_ens_1 @ sk_ @ sk__1 ) @ sk_ @ ( k1_yoneda_1 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( k20_ens_1 @ X1 @ X3 )
!= ( k20_ens_1 @ sk_ @ sk__1 ) )
| ( X1 != sk_ )
| ( ( k12_ens_1 @ X2 )
!= ( k1_yoneda_1 @ sk_ ) )
| ~ ( v2_cat_1 @ X1 )
| ~ ( l1_cat_1 @ X1 )
| ~ ( m1_subset_1 @ X3 @ ( u1_cat_1 @ X1 ) )
| ( v1_xboole_0 @ X2 )
| ( X0 != X2 )
| ( X0
!= ( k17_ens_1 @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl600,zip_derived_cl2]) ).
thf(zip_derived_cl708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( k17_ens_1 @ X1 ) )
| ( v1_xboole_0 @ X0 )
| ~ ( m1_subset_1 @ X2 @ ( u1_cat_1 @ X1 ) )
| ~ ( l1_cat_1 @ X1 )
| ~ ( v2_cat_1 @ X1 )
| ( ( k12_ens_1 @ X0 )
!= ( k1_yoneda_1 @ sk_ ) )
| ( X1 != sk_ )
| ( ( k20_ens_1 @ X1 @ X2 )
!= ( k20_ens_1 @ sk_ @ sk__1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl611]) ).
thf(zip_derived_cl709,plain,
! [X0: $i,X1: $i] :
( ( ( k20_ens_1 @ X1 @ X0 )
!= ( k20_ens_1 @ sk_ @ sk__1 ) )
| ( X1 != sk_ )
| ( ( k12_ens_1 @ ( k17_ens_1 @ X1 ) )
!= ( k1_yoneda_1 @ sk_ ) )
| ~ ( v2_cat_1 @ X1 )
| ~ ( l1_cat_1 @ X1 )
| ~ ( m1_subset_1 @ X0 @ ( u1_cat_1 @ X1 ) )
| ( v1_xboole_0 @ ( k17_ens_1 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl708]) ).
thf(fc5_ens_1,axiom,
! [A: $i] :
( ( ( v2_cat_1 @ A )
& ( l1_cat_1 @ A ) )
=> ~ ( v1_xboole_0 @ ( k17_ens_1 @ A ) ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i] :
( ~ ( v1_xboole_0 @ ( k17_ens_1 @ X0 ) )
| ~ ( l1_cat_1 @ X0 )
| ~ ( v2_cat_1 @ X0 ) ),
inference(cnf,[status(esa)],[fc5_ens_1]) ).
thf(zip_derived_cl710,plain,
! [X0: $i,X1: $i] :
( ~ ( m1_subset_1 @ X0 @ ( u1_cat_1 @ X1 ) )
| ~ ( l1_cat_1 @ X1 )
| ~ ( v2_cat_1 @ X1 )
| ( ( k12_ens_1 @ ( k17_ens_1 @ X1 ) )
!= ( k1_yoneda_1 @ sk_ ) )
| ( X1 != sk_ )
| ( ( k20_ens_1 @ X1 @ X0 )
!= ( k20_ens_1 @ sk_ @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl709,zip_derived_cl74]) ).
thf(zip_derived_cl711,plain,
( ( sk_ != sk_ )
| ( ( k12_ens_1 @ ( k17_ens_1 @ sk_ ) )
!= ( k1_yoneda_1 @ sk_ ) )
| ~ ( v2_cat_1 @ sk_ )
| ~ ( l1_cat_1 @ sk_ )
| ~ ( m1_subset_1 @ sk__1 @ ( u1_cat_1 @ sk_ ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl710]) ).
thf(zip_derived_cl712,plain,
( ~ ( m1_subset_1 @ sk__1 @ ( u1_cat_1 @ sk_ ) )
| ~ ( l1_cat_1 @ sk_ )
| ~ ( v2_cat_1 @ sk_ )
| ( ( k12_ens_1 @ ( k17_ens_1 @ sk_ ) )
!= ( k1_yoneda_1 @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl711]) ).
thf(zip_derived_cl3,plain,
m1_subset_1 @ sk__1 @ ( u1_cat_1 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
l1_cat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
v2_cat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl713,plain,
( ( k12_ens_1 @ ( k17_ens_1 @ sk_ ) )
!= ( k1_yoneda_1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl712,zip_derived_cl3,zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl714,plain,
( ( ( k1_yoneda_1 @ sk_ )
!= ( k1_yoneda_1 @ sk_ ) )
| ~ ( v2_cat_1 @ sk_ )
| ~ ( l1_cat_1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl713]) ).
thf(zip_derived_cl0_001,plain,
v2_cat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_002,plain,
l1_cat_1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl715,plain,
( ( k1_yoneda_1 @ sk_ )
!= ( k1_yoneda_1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl714,zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl716,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.csvTODWWH4 true
% 0.14/0.35 % Computer : n003.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 : Sun Aug 27 00:58:41 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.61/0.86 % Solved by fo/fo3_bce.sh.
% 1.61/0.86 % BCE start: 84
% 1.61/0.86 % BCE eliminated: 2
% 1.61/0.86 % PE start: 82
% 1.61/0.86 logic: eq
% 1.61/0.86 % PE eliminated: -1
% 1.61/0.86 % done 98 iterations in 0.103s
% 1.61/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.61/0.86 % SZS output start Refutation
% See solution above
% 1.61/0.86
% 1.61/0.86
% 1.61/0.86 % Terminating...
% 1.82/0.99 % Runner terminated.
% 1.82/1.00 % Zipperpin 1.5 exiting
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