TSTP Solution File: SEU151+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU151+3 : 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.0MaNi6Rr1g true
% Computer : n008.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 19:10:48 EDT 2023
% Result : Theorem 0.85s 0.75s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 20 unt; 6 typ; 0 def)
% Number of atoms : 78 ( 63 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 189 ( 32 ~; 31 |; 4 &; 120 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 0 ^; 65 !; 0 ?; 65 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
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(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_cl10,plain,
( ( unordered_pair @ sk__3 @ sk__4 )
= ( unordered_pair @ sk__5 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_001,plain,
( ( unordered_pair @ sk__3 @ sk__4 )
= ( unordered_pair @ sk__5 @ sk__6 ) ),
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_cl2,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_cl37,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( X0
!= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( in @ sk__6 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl37]) ).
thf(zip_derived_cl51,plain,
in @ sk__6 @ ( unordered_pair @ sk__3 @ sk__4 ),
inference(eq_res,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl4,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_cl54,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ sk__3 @ sk__4 )
!= ( unordered_pair @ X1 @ X0 ) )
| ( sk__6 = X0 )
| ( sk__6 = X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl4]) ).
thf(zip_derived_cl58,plain,
( ( sk__6 = sk__3 )
| ( sk__6 = sk__4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl11,plain,
sk__3 != sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
sk__6 = sk__4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl58,zip_derived_cl11]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl61,plain,
( ( unordered_pair @ sk__3 @ sk__4 )
= ( unordered_pair @ sk__4 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl59,zip_derived_cl1]) ).
thf(zip_derived_cl10_003,plain,
( ( unordered_pair @ sk__3 @ sk__4 )
= ( unordered_pair @ sk__5 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,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_cl38,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( X0
!= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( in @ sk__5 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl38]) ).
thf(zip_derived_cl52,plain,
in @ sk__5 @ ( unordered_pair @ sk__3 @ sk__4 ),
inference(eq_res,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl4_004,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_cl74,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ sk__3 @ sk__4 )
!= ( unordered_pair @ X1 @ X0 ) )
| ( sk__5 = X0 )
| ( sk__5 = X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl4]) ).
thf(zip_derived_cl83,plain,
( ( sk__5 = sk__3 )
| ( sk__5 = sk__4 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl12,plain,
sk__3 != sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
sk__5 = sk__4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl83,zip_derived_cl12]) ).
thf(zip_derived_cl89,plain,
( ( unordered_pair @ sk__3 @ sk__4 )
= ( unordered_pair @ sk__4 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl84]) ).
thf(zip_derived_cl37_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl4_006,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_cl93,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_cl46,zip_derived_cl4]) ).
thf(zip_derived_cl121,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ X1 @ X0 )
!= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( X0 = sk__4 )
| ( X0 = sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl93]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk__4 )
| ( ( unordered_pair @ X1 @ X0 )
!= ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ X1 @ X0 )
!= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( X1 = sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl123]) ).
thf(zip_derived_cl132,plain,
sk__3 = sk__4,
inference(eq_res,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl11_007,plain,
sk__3 != sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59_008,plain,
sk__6 = sk__4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl58,zip_derived_cl11]) ).
thf(zip_derived_cl62,plain,
sk__3 != sk__4,
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl59]) ).
thf(zip_derived_cl133,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl132,zip_derived_cl62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU151+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0MaNi6Rr1g true
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 19:05:17 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.62 % Total configuration time : 435
% 0.22/0.62 % Estimated wc time : 1092
% 0.22/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.85/0.75 % Solved by fo/fo3_bce.sh.
% 0.85/0.75 % BCE start: 13
% 0.85/0.75 % BCE eliminated: 0
% 0.85/0.75 % PE start: 13
% 0.85/0.75 logic: eq
% 0.85/0.75 % PE eliminated: 1
% 0.85/0.75 % done 63 iterations in 0.025s
% 0.85/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.85/0.75 % SZS output start Refutation
% See solution above
% 0.85/0.75
% 0.85/0.75
% 0.85/0.75 % Terminating...
% 1.55/0.82 % Runner terminated.
% 1.55/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------