TSTP Solution File: SET949+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET949+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xeX1wwgeHq true
% Computer : n006.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 16:16:57 EDT 2023
% Result : Theorem 0.21s 0.77s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of formulae : 33 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 39 ( 23 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 190 ( 15 ~; 7 |; 6 &; 157 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-5 aty)
% Number of variables : 62 ( 0 ^; 58 !; 4 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(t102_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ ( cartesian_product2 @ B @ C ) )
& ! [D: $i,E: $i] :
( ( ordered_pair @ D @ E )
!= A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ ( cartesian_product2 @ B @ C ) )
& ! [D: $i,E: $i] :
( ( ordered_pair @ D @ E )
!= A ) ),
inference('cnf.neg',[status(esa)],[t102_zfmisc_1]) ).
thf(zip_derived_cl14,plain,
in @ sk__7 @ ( cartesian_product2 @ sk__8 @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( cartesian_product2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i,F: $i] :
( ( in @ E @ A )
& ( in @ F @ B )
& ( D
= ( ordered_pair @ E @ F ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_0: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [F: $i,E: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ F @ E @ D @ B @ A )
<=> ( ( D
= ( ordered_pair @ E @ F ) )
& ( in @ F @ B )
& ( in @ E @ A ) ) ) ).
thf(zf_stmt_3,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( cartesian_product2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i,F: $i] : ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( zip_tseitin_0 @ ( sk__4 @ X0 @ X2 @ X3 ) @ ( sk__3 @ X0 @ X2 @ X3 ) @ X0 @ X2 @ X3 )
| ( X1
!= ( cartesian_product2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
= ( ordered_pair @ X0 @ X1 ) )
| ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0
!= ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X0 )
| ( X1
= ( ordered_pair @ ( sk__3 @ X1 @ X3 @ X2 ) @ ( sk__4 @ X1 @ X3 @ X2 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i] :
( ( sk__7
= ( ordered_pair @ ( sk__3 @ sk__7 @ X1 @ X0 ) @ ( sk__4 @ sk__7 @ X1 @ X0 ) ) )
| ( ( cartesian_product2 @ sk__8 @ sk__9 )
!= ( cartesian_product2 @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl73]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl10,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_cl1,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ( sk__7
= ( unordered_pair @ ( singleton @ ( sk__3 @ sk__7 @ X1 @ X0 ) ) @ ( unordered_pair @ ( sk__3 @ sk__7 @ X1 @ X0 ) @ ( sk__4 @ sk__7 @ X1 @ X0 ) ) ) )
| ( ( cartesian_product2 @ sk__8 @ sk__9 )
!= ( cartesian_product2 @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl83]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
!= sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83_001,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) )
!= sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl83]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i] :
( ( cartesian_product2 @ sk__8 @ sk__9 )
!= ( cartesian_product2 @ X0 @ X1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl110,zip_derived_cl84]) ).
thf(zip_derived_cl112,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET949+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xeX1wwgeHq true
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:21:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % Solved by fo/fo3_bce.sh.
% 0.21/0.77 % BCE start: 16
% 0.21/0.77 % BCE eliminated: 0
% 0.21/0.77 % PE start: 16
% 0.21/0.77 logic: eq
% 0.21/0.77 % PE eliminated: 1
% 0.21/0.77 % done 29 iterations in 0.019s
% 0.21/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77 % SZS output start Refutation
% See solution above
% 0.21/0.77
% 0.21/0.77
% 0.21/0.77 % Terminating...
% 0.76/0.84 % Runner terminated.
% 0.76/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------