TSTP Solution File: SEU156+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU156+3 : 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.DUl0Ok2znb true
% Computer : n001.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 19:10:50 EDT 2023
% Result : Theorem 0.56s 0.84s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 68 ( 29 unt; 8 typ; 0 def)
% Number of atoms : 106 ( 101 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 320 ( 30 ~; 37 |; 4 &; 244 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 86 ( 0 ^; 86 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(t33_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ordered_pair @ A @ B )
= ( ordered_pair @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( ordered_pair @ A @ B )
= ( ordered_pair @ C @ D ) )
=> ( ( A = C )
& ( B = D ) ) ),
inference('cnf.neg',[status(esa)],[t33_zfmisc_1]) ).
thf(zip_derived_cl7,plain,
( ( ordered_pair @ sk__2 @ sk__3 )
= ( ordered_pair @ sk__4 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( unordered_pair @ X0 @ X1 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_tarski]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl50_001,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).
thf(zip_derived_cl51,plain,
( ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) )
= ( unordered_pair @ ( singleton @ sk__4 ) @ ( unordered_pair @ sk__4 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl50,zip_derived_cl50]) ).
thf(zip_derived_cl51_002,plain,
( ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) )
= ( unordered_pair @ ( singleton @ sk__4 ) @ ( unordered_pair @ sk__4 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl50,zip_derived_cl50]) ).
thf(t10_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( ( unordered_pair @ A @ B )
= ( unordered_pair @ C @ D ) )
& ( A != C )
& ( A != D ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ( ( unordered_pair @ X1 @ X3 )
!= ( unordered_pair @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t10_zfmisc_1]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) )
!= ( unordered_pair @ X1 @ X0 ) )
| ( ( singleton @ sk__4 )
= X0 )
| ( ( singleton @ sk__4 )
= X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl6]) ).
thf(zip_derived_cl72,plain,
( ( ( singleton @ sk__4 )
= ( singleton @ sk__2 ) )
| ( ( singleton @ sk__4 )
= ( unordered_pair @ sk__2 @ sk__3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl66]) ).
thf(t8_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( singleton @ A )
= ( unordered_pair @ B @ C ) )
=> ( A = B ) ) ).
thf(zip_derived_cl11,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_cl75,plain,
( ( singleton @ sk__4 )
= ( singleton @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl11]) ).
thf(zip_derived_cl76,plain,
( ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) )
= ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__4 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl75]) ).
thf(zip_derived_cl75_003,plain,
( ( singleton @ sk__4 )
= ( singleton @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl11]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(t6_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( subset @ ( singleton @ A ) @ ( singleton @ B ) )
=> ( A = B ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[t6_zfmisc_1]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( X0
!= ( singleton @ X2 ) )
| ( X1 = X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl10]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( singleton @ X0 )
!= ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ( ( singleton @ sk__2 )
!= ( singleton @ X0 ) )
| ( sk__4 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl37]) ).
thf(zip_derived_cl87,plain,
sk__4 = sk__2,
inference(eq_res,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl104,plain,
( ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) )
= ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl87]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl6_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ( ( unordered_pair @ X1 @ X3 )
!= ( unordered_pair @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[t10_zfmisc_1]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( unordered_pair @ X1 @ X0 )
!= ( unordered_pair @ X3 @ X2 ) )
| ( X0 = X2 )
| ( X0 = X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ X1 @ X0 )
!= ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) ) )
| ( X0
= ( singleton @ sk__2 ) )
| ( X0
= ( unordered_pair @ sk__2 @ sk__5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl42]) ).
thf(zip_derived_cl170,plain,
( ( ( unordered_pair @ sk__2 @ sk__3 )
= ( unordered_pair @ sk__2 @ sk__5 ) )
| ( ( unordered_pair @ sk__2 @ sk__3 )
= ( singleton @ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl104_006,plain,
( ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) )
= ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl87]) ).
thf(zip_derived_cl42_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( unordered_pair @ X1 @ X0 )
!= ( unordered_pair @ X3 @ X2 ) )
| ( X0 = X2 )
| ( X0 = X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ ( singleton @ sk__2 ) @ ( unordered_pair @ sk__2 @ sk__3 ) )
!= ( unordered_pair @ X1 @ X0 ) )
| ( ( unordered_pair @ sk__2 @ sk__5 )
= X1 )
| ( ( unordered_pair @ sk__2 @ sk__5 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl42]) ).
thf(zip_derived_cl130,plain,
( ( ( unordered_pair @ sk__2 @ sk__5 )
= ( unordered_pair @ sk__2 @ sk__3 ) )
| ( ( unordered_pair @ sk__2 @ sk__5 )
= ( singleton @ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl42_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( unordered_pair @ X1 @ X0 )
!= ( unordered_pair @ X3 @ X2 ) )
| ( X0 = X2 )
| ( X0 = X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).
thf(zip_derived_cl135,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ X1 @ X0 ) )
| ( ( unordered_pair @ sk__2 @ sk__5 )
= ( singleton @ sk__2 ) )
| ( sk__5 = X1 )
| ( sk__5 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl42]) ).
thf(zip_derived_cl197,plain,
( ( sk__5 = sk__3 )
| ( sk__5 = sk__2 )
| ( ( unordered_pair @ sk__2 @ sk__5 )
= ( singleton @ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl8,plain,
( ( sk__2 != sk__4 )
| ( sk__3 != sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87_009,plain,
sk__4 = sk__2,
inference(eq_res,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl89,plain,
( ( sk__2 != sk__2 )
| ( sk__3 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl87]) ).
thf(zip_derived_cl90,plain,
sk__3 != sk__5,
inference(simplify,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl198,plain,
( ( sk__5 = sk__2 )
| ( ( unordered_pair @ sk__2 @ sk__5 )
= ( singleton @ sk__2 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl197,zip_derived_cl90]) ).
thf(t9_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( singleton @ A )
= ( unordered_pair @ B @ C ) )
=> ( B = C ) ) ).
thf(zip_derived_cl12,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_cl203,plain,
sk__5 = sk__2,
inference(clc,[status(thm)],[zip_derived_cl198,zip_derived_cl12]) ).
thf(t69_enumset1,axiom,
! [A: $i] :
( ( unordered_pair @ A @ A )
= ( singleton @ A ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( unordered_pair @ X0 @ X0 )
= ( singleton @ X0 ) ),
inference(cnf,[status(esa)],[t69_enumset1]) ).
thf(zip_derived_cl221,plain,
( ( ( unordered_pair @ sk__2 @ sk__3 )
= ( singleton @ sk__2 ) )
| ( ( unordered_pair @ sk__2 @ sk__3 )
= ( singleton @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl203,zip_derived_cl9]) ).
thf(zip_derived_cl222,plain,
( ( unordered_pair @ sk__2 @ sk__3 )
= ( singleton @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl12_010,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_cl226,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
!= ( singleton @ sk__2 ) )
| ( sk__2 = sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl222,zip_derived_cl12]) ).
thf(zip_derived_cl90_011,plain,
sk__3 != sk__5,
inference(simplify,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl203_012,plain,
sk__5 = sk__2,
inference(clc,[status(thm)],[zip_derived_cl198,zip_derived_cl12]) ).
thf(zip_derived_cl204,plain,
sk__3 != sk__2,
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl203]) ).
thf(zip_derived_cl235,plain,
! [X0: $i] :
( ( singleton @ X0 )
!= ( singleton @ sk__2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl226,zip_derived_cl204]) ).
thf(zip_derived_cl238,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU156+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DUl0Ok2znb true
% 0.13/0.35 % Computer : n001.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 : Wed Aug 23 14:20:09 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
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.67 % Total configuration time : 435
% 0.20/0.67 % Estimated wc time : 1092
% 0.20/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.84 % Solved by fo/fo3_bce.sh.
% 0.56/0.84 % BCE start: 13
% 0.56/0.84 % BCE eliminated: 0
% 0.56/0.84 % PE start: 13
% 0.56/0.84 logic: eq
% 0.56/0.84 % PE eliminated: 2
% 0.56/0.84 % done 100 iterations in 0.043s
% 0.56/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.84 % SZS output start Refutation
% See solution above
% 0.56/0.84
% 0.56/0.84
% 0.56/0.84 % Terminating...
% 0.56/0.90 % Runner terminated.
% 0.56/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------