TSTP Solution File: SEU159+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU159+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sNagJV2oA3 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 : Thu Aug 31 19:10:52 EDT 2023
% Result : Theorem 73.98s 11.32s
% Output : Refutation 73.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 96 ( 26 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 331 ( 32 ~; 41 |; 2 &; 250 @)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 0 ^; 71 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(t38_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( subset @ ( unordered_pair @ A @ B ) @ C )
<=> ( ( in @ A @ C )
& ( in @ B @ C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( subset @ ( unordered_pair @ A @ B ) @ C )
<=> ( ( in @ A @ C )
& ( in @ B @ C ) ) ),
inference('cnf.neg',[status(esa)],[t38_zfmisc_1]) ).
thf(zip_derived_cl25,plain,
( ~ ( in @ sk__4 @ sk__5 )
| ~ ( in @ sk__3 @ sk__5 )
| ~ ( subset @ ( unordered_pair @ sk__3 @ sk__4 ) @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl29,plain,
( ~ ( in @ sk__4 @ sk__5 )
| ~ ( in @ sk__3 @ sk__5 )
| ~ ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl1]) ).
thf(zip_derived_cl23,plain,
( ( in @ sk__3 @ sk__5 )
| ( subset @ ( unordered_pair @ sk__3 @ sk__4 ) @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_001,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl36,plain,
( ( in @ sk__3 @ sk__5 )
| ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl1]) ).
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_cl5,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_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl27]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ ( unordered_pair @ X1 @ X0 ) @ X2 )
| ( in @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl11]) ).
thf(zip_derived_cl463,plain,
( ( in @ sk__3 @ sk__5 )
| ( in @ sk__3 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl299]) ).
thf(zip_derived_cl471,plain,
in @ sk__3 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl463]) ).
thf(zip_derived_cl483,plain,
( ~ ( in @ sk__4 @ sk__5 )
| ~ ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl471]) ).
thf(zip_derived_cl6,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_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] : ( in @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl11_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ ( unordered_pair @ X1 @ X0 ) @ X2 )
| ( in @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl11]) ).
thf(zip_derived_cl487,plain,
~ ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ),
inference(clc,[status(thm)],[zip_derived_cl483,zip_derived_cl362]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl7,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_cl192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ X0 @ X1 )
| ( X0
!= ( unordered_pair @ X3 @ X2 ) )
| ( ( sk__1 @ X1 @ X0 )
= X2 )
| ( ( sk__1 @ X1 @ X0 )
= X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl7]) ).
thf(zip_derived_cl1246,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__1 @ X2 @ ( unordered_pair @ X1 @ X0 ) )
= X1 )
| ( ( sk__1 @ X2 @ ( unordered_pair @ X1 @ X0 ) )
= X0 )
| ( subset @ ( unordered_pair @ X1 @ X0 ) @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl192]) ).
thf(zip_derived_cl487_003,plain,
~ ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ),
inference(clc,[status(thm)],[zip_derived_cl483,zip_derived_cl362]) ).
thf(zip_derived_cl49721,plain,
( ( ( sk__1 @ sk__5 @ ( unordered_pair @ sk__4 @ sk__3 ) )
= sk__3 )
| ( ( sk__1 @ sk__5 @ ( unordered_pair @ sk__4 @ sk__3 ) )
= sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1246,zip_derived_cl487]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl49770,plain,
( ~ ( in @ sk__3 @ sk__5 )
| ( ( sk__1 @ sk__5 @ ( unordered_pair @ sk__4 @ sk__3 ) )
= sk__4 )
| ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49721,zip_derived_cl12]) ).
thf(zip_derived_cl471_004,plain,
in @ sk__3 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl463]) ).
thf(zip_derived_cl49798,plain,
( ( ( sk__1 @ sk__5 @ ( unordered_pair @ sk__4 @ sk__3 ) )
= sk__4 )
| ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl49770,zip_derived_cl471]) ).
thf(zip_derived_cl487_005,plain,
~ ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ),
inference(clc,[status(thm)],[zip_derived_cl483,zip_derived_cl362]) ).
thf(zip_derived_cl49971,plain,
( ( sk__1 @ sk__5 @ ( unordered_pair @ sk__4 @ sk__3 ) )
= sk__4 ),
inference(clc,[status(thm)],[zip_derived_cl49798,zip_derived_cl487]) ).
thf(zip_derived_cl12_006,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl49973,plain,
( ~ ( in @ sk__4 @ sk__5 )
| ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49971,zip_derived_cl12]) ).
thf(zip_derived_cl24,plain,
( ( in @ sk__4 @ sk__5 )
| ( subset @ ( unordered_pair @ sk__3 @ sk__4 ) @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_007,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl37,plain,
( ( in @ sk__4 @ sk__5 )
| ( subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl1]) ).
thf(zip_derived_cl362_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ ( unordered_pair @ X1 @ X0 ) @ X2 )
| ( in @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl11]) ).
thf(zip_derived_cl475,plain,
( ( in @ sk__4 @ sk__5 )
| ( in @ sk__4 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl362]) ).
thf(zip_derived_cl482,plain,
in @ sk__4 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl475]) ).
thf(zip_derived_cl49999,plain,
subset @ ( unordered_pair @ sk__4 @ sk__3 ) @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl49973,zip_derived_cl482]) ).
thf(zip_derived_cl50007,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl487,zip_derived_cl49999]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU159+2 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sNagJV2oA3 true
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 21:57:37 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/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
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 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/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 73.98/11.32 % Solved by fo/fo4.sh.
% 73.98/11.32 % done 4964 iterations in 10.495s
% 73.98/11.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 73.98/11.32 % SZS output start Refutation
% See solution above
% 73.98/11.32
% 73.98/11.32
% 73.98/11.32 % Terminating...
% 74.37/11.40 % Runner terminated.
% 74.37/11.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------