TSTP Solution File: SEU156+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU156+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fopWr6SRfG true
% Computer : n031.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 1.26s 0.80s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 72 ( 29 unt; 8 typ; 0 def)
% Number of atoms : 115 ( 110 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 347 ( 33 ~; 42 |; 4 &; 263 @)
% ( 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 : 91 ( 0 ^; 91 !; 0 ?; 91 :)
% 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_cl10,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_cl44,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_cl44_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_cl45,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_cl10,zip_derived_cl44,zip_derived_cl44]) ).
thf(zip_derived_cl45_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_cl10,zip_derived_cl44,zip_derived_cl44]) ).
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_cl9,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_cl69,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_cl45,zip_derived_cl9]) ).
thf(zip_derived_cl75,plain,
( ( ( singleton @ sk__4 )
= ( singleton @ sk__2 ) )
| ( ( singleton @ sk__4 )
= ( unordered_pair @ sk__2 @ sk__3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl69]) ).
thf(t8_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( singleton @ A )
= ( unordered_pair @ B @ C ) )
=> ( A = B ) ) ).
thf(zip_derived_cl14,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_cl94,plain,
( ( singleton @ sk__4 )
= ( singleton @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl75,zip_derived_cl14]) ).
thf(zip_derived_cl95,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_cl45,zip_derived_cl94]) ).
thf(zip_derived_cl94_003,plain,
( ( singleton @ sk__4 )
= ( singleton @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl75,zip_derived_cl14]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl8,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_cl13,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ ( singleton @ X1 ) @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[t6_zfmisc_1]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( X0
!= ( singleton @ X2 ) )
| ( X1 = X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl13]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( singleton @ X0 )
!= ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ( ( singleton @ sk__2 )
!= ( singleton @ X0 ) )
| ( sk__4 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl40]) ).
thf(zip_derived_cl107,plain,
sk__4 = sk__2,
inference(eq_res,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl116,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_cl95,zip_derived_cl107]) ).
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_cl9_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_cl56,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_cl9]) ).
thf(zip_derived_cl125,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_cl116,zip_derived_cl56]) ).
thf(zip_derived_cl138,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_cl125]) ).
thf(zip_derived_cl138_006,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_cl125]) ).
thf(zip_derived_cl56_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_cl9]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ sk__2 @ sk__3 )
!= ( unordered_pair @ X1 @ X0 ) )
| ( ( unordered_pair @ sk__2 @ sk__3 )
= ( singleton @ sk__2 ) )
| ( sk__5 = X1 )
| ( sk__5 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl56]) ).
thf(zip_derived_cl205,plain,
( ( sk__5 = sk__3 )
| ( sk__5 = sk__2 )
| ( ( unordered_pair @ sk__2 @ sk__3 )
= ( singleton @ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl11,plain,
( ( sk__2 != sk__4 )
| ( sk__3 != sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl107_008,plain,
sk__4 = sk__2,
inference(eq_res,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl109,plain,
( ( sk__2 != sk__2 )
| ( sk__3 != sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl107]) ).
thf(zip_derived_cl110,plain,
sk__3 != sk__5,
inference(simplify,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl206,plain,
( ( sk__5 = sk__2 )
| ( ( unordered_pair @ sk__2 @ sk__3 )
= ( singleton @ sk__2 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl205,zip_derived_cl110]) ).
thf(zip_derived_cl116_009,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_cl95,zip_derived_cl107]) ).
thf(zip_derived_cl56_010,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_cl9]) ).
thf(zip_derived_cl121,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_cl116,zip_derived_cl56]) ).
thf(zip_derived_cl157,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_cl121]) ).
thf(t9_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( singleton @ A )
= ( unordered_pair @ B @ C ) )
=> ( B = C ) ) ).
thf(zip_derived_cl15,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_cl161,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
!= ( unordered_pair @ sk__2 @ sk__3 ) )
| ( ( unordered_pair @ sk__2 @ sk__5 )
= ( singleton @ sk__2 ) )
| ( sk__2 = sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl15]) ).
thf(zip_derived_cl15_011,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_cl197,plain,
! [X0: $i] :
( ( sk__2 = sk__5 )
| ( ( singleton @ X0 )
!= ( unordered_pair @ sk__2 @ sk__3 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl161,zip_derived_cl15]) ).
thf(zip_derived_cl211,plain,
sk__5 = sk__2,
inference(clc,[status(thm)],[zip_derived_cl206,zip_derived_cl197]) ).
thf(t69_enumset1,axiom,
! [A: $i] :
( ( unordered_pair @ A @ A )
= ( singleton @ A ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( unordered_pair @ X0 @ X0 )
= ( singleton @ X0 ) ),
inference(cnf,[status(esa)],[t69_enumset1]) ).
thf(zip_derived_cl222,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_cl138,zip_derived_cl211,zip_derived_cl12]) ).
thf(zip_derived_cl223,plain,
( ( unordered_pair @ sk__2 @ sk__3 )
= ( singleton @ sk__2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl15_012,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_cl235,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
!= ( singleton @ sk__2 ) )
| ( sk__2 = sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl223,zip_derived_cl15]) ).
thf(zip_derived_cl110_013,plain,
sk__3 != sk__5,
inference(simplify,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl211_014,plain,
sk__5 = sk__2,
inference(clc,[status(thm)],[zip_derived_cl206,zip_derived_cl197]) ).
thf(zip_derived_cl212,plain,
sk__3 != sk__2,
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl211]) ).
thf(zip_derived_cl244,plain,
! [X0: $i] :
( ( singleton @ X0 )
!= ( singleton @ sk__2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl235,zip_derived_cl212]) ).
thf(zip_derived_cl247,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU156+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fopWr6SRfG true
% 0.13/0.35 % Computer : n031.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 20:20:05 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.26/0.80 % Solved by fo/fo3_bce.sh.
% 1.26/0.80 % BCE start: 16
% 1.26/0.80 % BCE eliminated: 0
% 1.26/0.80 % PE start: 16
% 1.26/0.80 logic: eq
% 1.26/0.80 % PE eliminated: 2
% 1.26/0.80 % done 110 iterations in 0.051s
% 1.26/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.26/0.80 % SZS output start Refutation
% See solution above
% 1.26/0.80
% 1.26/0.80
% 1.26/0.80 % Terminating...
% 1.35/0.86 % Runner terminated.
% 1.35/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------