TSTP Solution File: NUM386+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM386+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.i21ymuIKA7 true
% Computer : n024.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 12:41:13 EDT 2023
% Result : Theorem 0.59s 0.94s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 75 ( 21 unt; 9 typ; 0 def)
% Number of atoms : 133 ( 43 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 386 ( 50 ~; 58 |; 1 &; 269 @)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 87 ( 0 ^; 86 !; 1 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(succ_type,type,
succ: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(d2_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_union2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
| ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X2
!= ( set_union2 @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( set_union2 @ X1 @ X0 ) )
| ~ ( in @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl12]) ).
thf(t13_ordinal1,conjecture,
! [A: $i,B: $i] :
( ( in @ A @ ( succ @ B ) )
<=> ( ( in @ A @ B )
| ( A = B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( in @ A @ ( succ @ B ) )
<=> ( ( in @ A @ B )
| ( A = B ) ) ),
inference('cnf.neg',[status(esa)],[t13_ordinal1]) ).
thf(zip_derived_cl54,plain,
( ( sk__13 != sk__14 )
| ~ ( in @ sk__13 @ ( succ @ sk__14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl61,plain,
( ( sk__13 != sk__14 )
| ~ ( in @ sk__13 @ ( succ @ sk__13 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl54]) ).
thf(d1_ordinal1,axiom,
! [A: $i] :
( ( succ @ A )
= ( set_union2 @ A @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( succ @ X0 )
= ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_ordinal1]) ).
thf(zip_derived_cl73,plain,
( ( sk__13 != sk__14 )
| ~ ( in @ sk__13 @ ( set_union2 @ sk__13 @ ( singleton @ sk__13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl7]) ).
thf(commutativity_k2_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X1 @ X0 )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl52,plain,
( ( sk__13 = sk__14 )
| ( in @ sk__13 @ sk__14 )
| ( in @ sk__13 @ ( succ @ sk__14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i] :
( ( succ @ X0 )
= ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_ordinal1]) ).
thf(zip_derived_cl455,plain,
( ( sk__13 = sk__14 )
| ( in @ sk__13 @ sk__14 )
| ( in @ sk__13 @ ( set_union2 @ sk__14 @ ( singleton @ sk__14 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X1
!= ( set_union2 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl817,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ( in @ X1 @ X2 )
| ~ ( in @ X1 @ ( set_union2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl822,plain,
( ( in @ sk__13 @ sk__14 )
| ( sk__13 = sk__14 )
| ( in @ sk__13 @ sk__14 )
| ( in @ sk__13 @ ( singleton @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl455,zip_derived_cl817]) ).
thf(zip_derived_cl833,plain,
( ( in @ sk__13 @ ( singleton @ sk__14 ) )
| ( sk__13 = sk__14 )
| ( in @ sk__13 @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl822]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl961,plain,
( ( in @ sk__13 @ sk__14 )
| ( sk__13 = sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl833,zip_derived_cl62]) ).
thf(zip_derived_cl137_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( set_union2 @ X1 @ X0 ) )
| ~ ( in @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl12]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( element @ A @ B ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl670,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
| ( element @ X2 @ ( set_union2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl56]) ).
thf(zip_derived_cl965,plain,
! [X0: $i] :
( ( sk__13 = sk__14 )
| ( element @ sk__13 @ ( set_union2 @ X0 @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl961,zip_derived_cl670]) ).
thf(zip_derived_cl1068,plain,
! [X0: $i] :
( ( element @ sk__13 @ ( set_union2 @ sk__14 @ X0 ) )
| ( sk__13 = sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl965]) ).
thf(zip_derived_cl57_003,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl961_004,plain,
( ( in @ sk__13 @ sk__14 )
| ( sk__13 = sk__14 ) ),
inference(clc,[status(thm)],[zip_derived_cl833,zip_derived_cl62]) ).
thf(zip_derived_cl53,plain,
( ~ ( in @ sk__13 @ sk__14 )
| ~ ( in @ sk__13 @ ( succ @ sk__14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_005,plain,
! [X0: $i] :
( ( succ @ X0 )
= ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_ordinal1]) ).
thf(zip_derived_cl72,plain,
( ~ ( in @ sk__13 @ sk__14 )
| ~ ( in @ sk__13 @ ( set_union2 @ sk__14 @ ( singleton @ sk__14 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl7]) ).
thf(zip_derived_cl967,plain,
( ( sk__13 = sk__14 )
| ~ ( in @ sk__13 @ ( set_union2 @ sk__14 @ ( singleton @ sk__14 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl961,zip_derived_cl72]) ).
thf(zip_derived_cl998,plain,
( ~ ( element @ sk__13 @ ( set_union2 @ sk__14 @ ( singleton @ sk__14 ) ) )
| ( empty @ ( set_union2 @ sk__14 @ ( singleton @ sk__14 ) ) )
| ( sk__13 = sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl967]) ).
thf(fc1_ordinal1,axiom,
! [A: $i] :
~ ( empty @ ( succ @ A ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
~ ( empty @ ( succ @ X0 ) ),
inference(cnf,[status(esa)],[fc1_ordinal1]) ).
thf(zip_derived_cl7_006,plain,
! [X0: $i] :
( ( succ @ X0 )
= ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_ordinal1]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
~ ( empty @ ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl7]) ).
thf(zip_derived_cl1013,plain,
( ~ ( element @ sk__13 @ ( set_union2 @ sk__14 @ ( singleton @ sk__14 ) ) )
| ( sk__13 = sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl998,zip_derived_cl71]) ).
thf(zip_derived_cl1110,plain,
( ( sk__13 = sk__14 )
| ( sk__13 = sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1068,zip_derived_cl1013]) ).
thf(zip_derived_cl1123,plain,
sk__13 = sk__14,
inference(simplify,[status(thm)],[zip_derived_cl1110]) ).
thf(zip_derived_cl1125,plain,
( ( sk__13 != sk__13 )
| ~ ( in @ sk__13 @ ( set_union2 @ sk__13 @ ( singleton @ sk__13 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl1123]) ).
thf(zip_derived_cl1126,plain,
~ ( in @ sk__13 @ ( set_union2 @ sk__13 @ ( singleton @ sk__13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1125]) ).
thf(zip_derived_cl1134,plain,
~ ( in @ sk__13 @ ( singleton @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl1126]) ).
thf(zip_derived_cl1153,plain,
( ~ ( element @ sk__13 @ ( singleton @ sk__13 ) )
| ( empty @ ( singleton @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl1134]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] : ( element @ ( sk__2 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl57_007,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl62_008,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl389,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( singleton @ X0 ) )
| ( empty @ ( singleton @ X0 ) )
| ( X1 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl62]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl297,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ~ ( empty @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).
thf(zip_derived_cl341,plain,
! [X0: $i] :
~ ( empty @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl393,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ ( singleton @ X0 ) )
| ( X1 = X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl341]) ).
thf(zip_derived_cl396,plain,
! [X0: $i] :
( ( sk__2 @ ( singleton @ X0 ) )
= X0 ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl393]) ).
thf(zip_derived_cl18_009,plain,
! [X0: $i] : ( element @ ( sk__2 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl400,plain,
! [X0: $i] : ( element @ X0 @ ( singleton @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl396,zip_derived_cl18]) ).
thf(zip_derived_cl341_010,plain,
! [X0: $i] :
~ ( empty @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl1161,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1153,zip_derived_cl400,zip_derived_cl341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM386+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.i21ymuIKA7 true
% 0.13/0.35 % Computer : n024.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 : Fri Aug 25 15:11:09 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
% 0.40/0.68 % Total configuration time : 435
% 0.40/0.68 % Estimated wc time : 1092
% 0.40/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.94 % Solved by fo/fo7.sh.
% 0.59/0.94 % done 384 iterations in 0.154s
% 0.59/0.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.94 % SZS output start Refutation
% See solution above
% 0.59/0.94
% 0.59/0.94
% 0.59/0.94 % Terminating...
% 0.59/0.99 % Runner terminated.
% 1.58/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------