%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU151+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zJRYhqqMrw true
% Computer : n015.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 Oct 2 04:53:36 PM UTC 2025
% Result : Theorem 0.53s 1.02s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 66 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 129 ( 117 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 290 ( 46 ~; 34 |; 9 &; 181 @)
% ( 2 <=>; 2 =>; 16 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 80 ( 0 ^; 80 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(t10_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( ( unordered_pair @ A @ B )
= ( unordered_pair @ C @ D ) )
& ( A != C )
& ( A != D ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( ( unordered_pair @ A @ B )
= ( unordered_pair @ C @ D ) )
& ( A != C )
& ( A != D ) ),
inference('cnf.neg',[status(esa)],[t10_zfmisc_1]) ).
thf(zip_derived_cl76,plain,
( ( unordered_pair @ sk__10 @ sk__11 )
= ( unordered_pair @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl76_001,plain,
( ( unordered_pair @ sk__10 @ sk__11 )
= ( unordered_pair @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_tarski,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( unordered_pair @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl311,plain,
! [X0: $i] :
( ( X0
!= ( unordered_pair @ sk__10 @ sk__11 ) )
| ( in @ sk__13 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl274]) ).
thf(zip_derived_cl324,plain,
in @ sk__13 @ ( unordered_pair @ sk__10 @ sk__11 ),
inference(eq_res,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X0 = X3 )
| ( X1
!= ( unordered_pair @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl379,plain,
! [X0: $i,X1: $i] :
( ( sk__13 = X0 )
| ( sk__13 = X1 )
| ( ( unordered_pair @ sk__10 @ sk__11 )
!= ( unordered_pair @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl324,zip_derived_cl20]) ).
thf(zip_derived_cl391,plain,
( ( sk__13 = sk__11 )
| ( sk__13 = sk__10 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl379]) ).
thf(zip_derived_cl77,plain,
sk__10 != sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl392,plain,
sk__13 = sk__11,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl391,zip_derived_cl77]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl397,plain,
( ( unordered_pair @ sk__10 @ sk__11 )
= ( unordered_pair @ sk__11 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl392,zip_derived_cl2]) ).
thf(zip_derived_cl76_002,plain,
( ( unordered_pair @ sk__10 @ sk__11 )
= ( unordered_pair @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl292,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl322,plain,
! [X0: $i] :
( ( X0
!= ( unordered_pair @ sk__10 @ sk__11 ) )
| ( in @ sk__12 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl292]) ).
thf(zip_derived_cl336,plain,
in @ sk__12 @ ( unordered_pair @ sk__10 @ sk__11 ),
inference(eq_res,[status(thm)],[zip_derived_cl322]) ).
thf(zip_derived_cl20_003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X0 = X3 )
| ( X1
!= ( unordered_pair @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl526,plain,
! [X0: $i,X1: $i] :
( ( sk__12 = X0 )
| ( sk__12 = X1 )
| ( ( unordered_pair @ sk__10 @ sk__11 )
!= ( unordered_pair @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl20]) ).
thf(zip_derived_cl570,plain,
( ( sk__12 = sk__11 )
| ( sk__12 = sk__10 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl526]) ).
thf(zip_derived_cl78,plain,
sk__10 != sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl571,plain,
sk__12 = sk__11,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl570,zip_derived_cl78]) ).
thf(t69_enumset1,axiom,
! [A: $i] :
( ( unordered_pair @ A @ A )
= ( singleton @ A ) ) ).
thf(zip_derived_cl109,plain,
! [X0: $i] :
( ( unordered_pair @ X0 @ X0 )
= ( singleton @ X0 ) ),
inference(cnf,[status(esa)],[t69_enumset1]) ).
thf(zip_derived_cl577,plain,
( ( unordered_pair @ sk__10 @ sk__11 )
= ( singleton @ sk__11 ) ),
inference(demod,[status(thm)],[zip_derived_cl397,zip_derived_cl571,zip_derived_cl109]) ).
thf(zip_derived_cl76_004,plain,
( ( unordered_pair @ sk__10 @ sk__11 )
= ( unordered_pair @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t9_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( singleton @ A )
= ( unordered_pair @ B @ C ) )
=> ( B = C ) ) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( singleton @ X2 )
!= ( unordered_pair @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[t9_zfmisc_1]) ).
thf(zip_derived_cl160,plain,
! [X0: $i] :
( ( sk__12 = sk__13 )
| ( ( singleton @ X0 )
!= ( unordered_pair @ sk__10 @ sk__11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl119]) ).
thf(zip_derived_cl173,plain,
( ! [X0: $i] :
( ( singleton @ X0 )
!= ( unordered_pair @ sk__10 @ sk__11 ) )
<= ! [X0: $i] :
( ( singleton @ X0 )
!= ( unordered_pair @ sk__10 @ sk__11 ) ) ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf(zip_derived_cl174,plain,
( ( sk__12 = sk__13 )
<= ( sk__12 = sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf(zip_derived_cl76_005,plain,
( ( unordered_pair @ sk__10 @ sk__11 )
= ( unordered_pair @ sk__12 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl175,plain,
( ( ( unordered_pair @ sk__10 @ sk__11 )
= ( unordered_pair @ sk__12 @ sk__12 ) )
<= ( sk__12 = sk__13 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl174,zip_derived_cl76]) ).
thf(zip_derived_cl109_006,plain,
! [X0: $i] :
( ( unordered_pair @ X0 @ X0 )
= ( singleton @ X0 ) ),
inference(cnf,[status(esa)],[t69_enumset1]) ).
thf(zip_derived_cl177,plain,
( ( ( unordered_pair @ sk__10 @ sk__11 )
= ( singleton @ sk__12 ) )
<= ( sk__12 = sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl109]) ).
thf(zip_derived_cl119_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( singleton @ X2 )
!= ( unordered_pair @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[t9_zfmisc_1]) ).
thf(zip_derived_cl186,plain,
( ! [X0: $i] :
( ( sk__10 = sk__11 )
| ( ( singleton @ X0 )
!= ( singleton @ sk__12 ) ) )
<= ( sk__12 = sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl119]) ).
thf('0',plain,
( ( sk__12 != sk__13 )
| ( sk__10 = sk__11 )
| ! [X0: $i] :
( ( singleton @ X0 )
!= ( singleton @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl193,plain,
( ! [X0: $i] :
( ( singleton @ X0 )
!= ( singleton @ sk__12 ) )
<= ! [X0: $i] :
( ( singleton @ X0 )
!= ( singleton @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf('1',plain,
~ ! [X0: $i] :
( ( singleton @ X0 )
!= ( singleton @ sk__12 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl194,plain,
( ( sk__10 = sk__11 )
<= ( sk__10 = sk__11 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl177_008,plain,
( ( ( unordered_pair @ sk__10 @ sk__11 )
= ( singleton @ sk__12 ) )
<= ( sk__12 = sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl109]) ).
thf(zip_derived_cl199,plain,
( ( ( unordered_pair @ sk__10 @ sk__10 )
= ( singleton @ sk__12 ) )
<= ( ( sk__12 = sk__13 )
& ( sk__10 = sk__11 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl194,zip_derived_cl177]) ).
thf(zip_derived_cl109_009,plain,
! [X0: $i] :
( ( unordered_pair @ X0 @ X0 )
= ( singleton @ X0 ) ),
inference(cnf,[status(esa)],[t69_enumset1]) ).
thf(zip_derived_cl203,plain,
( ( ( singleton @ sk__10 )
= ( singleton @ sk__12 ) )
<= ( ( sk__12 = sk__13 )
& ( sk__10 = sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl109]) ).
thf(zip_derived_cl177_010,plain,
( ( ( unordered_pair @ sk__10 @ sk__11 )
= ( singleton @ sk__12 ) )
<= ( sk__12 = sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl109]) ).
thf(zip_derived_cl2_011,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(t8_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( singleton @ A )
= ( unordered_pair @ B @ C ) )
=> ( A = B ) ) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( ( singleton @ X1 )
!= ( unordered_pair @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t8_zfmisc_1]) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( ( singleton @ X2 )
!= ( unordered_pair @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl118]) ).
thf(zip_derived_cl187,plain,
( ! [X0: $i] :
( ( X0 = sk__11 )
| ( ( singleton @ X0 )
!= ( singleton @ sk__12 ) ) )
<= ( sk__12 = sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl127]) ).
thf(zip_derived_cl210,plain,
( ( ( sk__12 = sk__11 )
| ( ( singleton @ sk__10 )
!= ( singleton @ sk__10 ) ) )
<= ( ( sk__12 = sk__13 )
& ( sk__10 = sk__11 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl187]) ).
thf(zip_derived_cl194_012,plain,
( ( sk__10 = sk__11 )
<= ( sk__10 = sk__11 ) ),
inference(split,[status(esa)],[zip_derived_cl186]) ).
thf(zip_derived_cl213,plain,
( ( ( sk__12 = sk__10 )
| ( ( singleton @ sk__10 )
!= ( singleton @ sk__10 ) ) )
<= ( ( sk__12 = sk__13 )
& ( sk__10 = sk__11 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl194]) ).
thf(zip_derived_cl214,plain,
( ( sk__12 = sk__10 )
<= ( ( sk__12 = sk__13 )
& ( sk__10 = sk__11 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl78_013,plain,
sk__10 != sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( sk__10 != sk__11 )
| ( sk__12 != sk__13 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl214,zip_derived_cl78]) ).
thf('3',plain,
( ! [X0: $i] :
( ( singleton @ X0 )
!= ( unordered_pair @ sk__10 @ sk__11 ) )
| ( sk__12 = sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl160]) ).
thf('4',plain,
! [X0: $i] :
( ( singleton @ X0 )
!= ( unordered_pair @ sk__10 @ sk__11 ) ),
inference('sat_resolution*',[status(thm)],['0','1','2','3']) ).
thf(zip_derived_cl233,plain,
! [X0: $i] :
( ( singleton @ X0 )
!= ( unordered_pair @ sk__10 @ sk__11 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl173,'4']) ).
thf(zip_derived_cl578,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl577,zip_derived_cl233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SEU151+2 : TPTP v9.2.0. Released v3.3.0.
% 0.05/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zJRYhqqMrw true
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 16:04:23 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.50/0.67 % Total configuration time : 435
% 0.50/0.67 % Estimated wc time : 1092
% 0.50/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/1.02 % Solved by fo/fo1_av.sh.
% 0.53/1.02 % done 254 iterations in 0.196s
% 0.53/1.02 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/1.02 % SZS output start Refutation
% See solution above
% 0.53/1.02
% 0.53/1.02
% 0.53/1.02 % Terminating...
% 1.57/1.12 % Runner terminated.
% 1.57/1.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------