TSTP Solution File: SEU203+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU203+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.CyOQrdD1HE true
% Computer : n027.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 19:11:11 EDT 2023
% Result : Theorem 93.81s 14.04s
% Output : Refutation 93.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 5 unt; 10 typ; 0 def)
% Number of atoms : 164 ( 28 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 716 ( 98 ~; 79 |; 12 &; 496 @)
% ( 6 <=>; 4 =>; 21 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 67 ( 0 ^; 63 !; 4 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__13_type,type,
sk__13: $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(t143_relat_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_image @ C @ B ) )
<=> ? [D: $i] :
( ( in @ D @ B )
& ( in @ ( ordered_pair @ D @ A ) @ C )
& ( in @ D @ ( relation_dom @ C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_image @ C @ B ) )
<=> ? [D: $i] :
( ( in @ D @ B )
& ( in @ ( ordered_pair @ D @ A ) @ C )
& ( in @ D @ ( relation_dom @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t143_relat_1]) ).
thf(zip_derived_cl39,plain,
( ( in @ sk__14 @ sk__12 )
| ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('0',plain,
( ( in @ sk__14 @ sk__12 )
| ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl40,plain,
( ( in @ ( ordered_pair @ sk__14 @ sk__11 ) @ sk__13 )
| ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
( ( in @ ( ordered_pair @ sk__14 @ sk__11 ) @ sk__13 )
| ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(zip_derived_cl51,plain,
( ( in @ ( ordered_pair @ sk__14 @ sk__11 ) @ sk__13 )
<= ( in @ ( ordered_pair @ sk__14 @ sk__11 ) @ sk__13 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf(d13_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ B )
& ( in @ ( ordered_pair @ E @ D ) @ A ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
!= ( relation_image @ X0 @ X1 ) )
| ( in @ X3 @ X2 )
| ~ ( in @ ( ordered_pair @ X4 @ X3 ) @ X0 )
| ~ ( in @ X4 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d13_relat_1]) ).
thf(zip_derived_cl156,plain,
( ! [X0: $i,X1: $i] :
( ( X0
!= ( relation_image @ sk__13 @ X1 ) )
| ( in @ sk__11 @ X0 )
| ~ ( in @ sk__14 @ X1 )
| ~ ( relation @ sk__13 ) )
<= ( in @ ( ordered_pair @ sk__14 @ sk__11 ) @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl8]) ).
thf(zip_derived_cl37,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl159,plain,
( ! [X0: $i,X1: $i] :
( ( X0
!= ( relation_image @ sk__13 @ X1 ) )
| ( in @ sk__11 @ X0 )
| ~ ( in @ sk__14 @ X1 ) )
<= ( in @ ( ordered_pair @ sk__14 @ sk__11 ) @ sk__13 ) ),
inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl37]) ).
thf(zip_derived_cl161,plain,
( ! [X0: $i] :
( ~ ( in @ sk__14 @ X0 )
| ( in @ sk__11 @ ( relation_image @ sk__13 @ X0 ) ) )
<= ( in @ ( ordered_pair @ sk__14 @ sk__11 ) @ sk__13 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl159]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 )
| ~ ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48,plain,
( ~ ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) )
<= ~ ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl166,plain,
( ~ ( in @ sk__14 @ sk__12 )
<= ( ~ ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) )
& ( in @ ( ordered_pair @ sk__14 @ sk__11 ) @ sk__13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl161,zip_derived_cl48]) ).
thf(zip_derived_cl49,plain,
( ( in @ sk__14 @ sk__12 )
<= ( in @ sk__14 @ sk__12 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf('2',plain,
( ~ ( in @ ( ordered_pair @ sk__14 @ sk__11 ) @ sk__13 )
| ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) )
| ~ ( in @ sk__14 @ sk__12 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl49]) ).
thf('3',plain,
( ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) )
| ~ ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl50,plain,
( ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) )
<= ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( relation_image @ X0 @ X1 ) )
| ( in @ ( sk__2 @ X3 @ X1 @ X0 ) @ X1 )
| ~ ( in @ X3 @ X2 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d13_relat_1]) ).
thf(zip_derived_cl115,plain,
( ! [X0: $i,X1: $i] :
( ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ X1 @ X0 ) )
| ( in @ ( sk__2 @ sk__11 @ X0 @ X1 ) @ X0 )
| ~ ( relation @ X1 ) )
<= ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl6]) ).
thf(zip_derived_cl50_001,plain,
( ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) )
<= ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( relation_image @ X0 @ X1 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ X3 @ X1 @ X0 ) @ X3 ) @ X0 )
| ~ ( in @ X3 @ X2 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d13_relat_1]) ).
thf(zip_derived_cl135,plain,
( ! [X0: $i,X1: $i] :
( ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ sk__11 @ X0 @ X1 ) @ sk__11 ) @ X1 )
| ~ ( relation @ X1 ) )
<= ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl7]) ).
thf(zip_derived_cl135_002,plain,
( ! [X0: $i,X1: $i] :
( ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ X1 @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__2 @ sk__11 @ X0 @ X1 ) @ sk__11 ) @ X1 )
| ~ ( relation @ X1 ) )
<= ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl7]) ).
thf(d4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_dom @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl1143,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ X0 @ X1 ) )
| ( X2
!= ( relation_dom @ X0 ) )
| ( in @ ( sk__2 @ sk__11 @ X1 @ X0 ) @ X2 )
| ~ ( relation @ X0 ) )
<= ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl12]) ).
thf(zip_derived_cl1149,plain,
( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__2 @ sk__11 @ X1 @ X0 ) @ X2 )
| ( X2
!= ( relation_dom @ X0 ) )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ X0 @ X1 ) )
| ~ ( relation @ X0 ) )
<= ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1143]) ).
thf(zip_derived_cl47,plain,
( ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) )
<= ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl11202,plain,
( ! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ X0 @ X1 ) )
| ( ( relation_dom @ sk__13 )
!= ( relation_dom @ X0 ) )
| ~ ( in @ ( ordered_pair @ ( sk__2 @ sk__11 @ X1 @ X0 ) @ sk__11 ) @ sk__13 )
| ~ ( in @ ( sk__2 @ sk__11 @ X1 @ X0 ) @ sk__12 ) )
<= ( ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) )
& ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1149,zip_derived_cl47]) ).
thf(zip_derived_cl13188,plain,
( ! [X0: $i] :
( ~ ( relation @ sk__13 )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ sk__13 @ X0 ) )
| ~ ( relation @ sk__13 )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ sk__13 @ X0 ) )
| ( ( relation_dom @ sk__13 )
!= ( relation_dom @ sk__13 ) )
| ~ ( in @ ( sk__2 @ sk__11 @ X0 @ sk__13 ) @ sk__12 ) )
<= ( ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) )
& ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl11202]) ).
thf(zip_derived_cl37_003,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37_004,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13190,plain,
( ! [X0: $i] :
( ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ sk__13 @ X0 ) )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ sk__13 @ X0 ) )
| ( ( relation_dom @ sk__13 )
!= ( relation_dom @ sk__13 ) )
| ~ ( in @ ( sk__2 @ sk__11 @ X0 @ sk__13 ) @ sk__12 ) )
<= ( ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) )
& ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13188,zip_derived_cl37,zip_derived_cl37]) ).
thf(zip_derived_cl13191,plain,
( ! [X0: $i] :
( ~ ( in @ ( sk__2 @ sk__11 @ X0 @ sk__13 ) @ sk__12 )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ sk__13 @ X0 ) ) )
<= ( ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) )
& ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13190]) ).
thf(zip_derived_cl73651,plain,
( ( ~ ( relation @ sk__13 )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ sk__13 @ sk__12 ) )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ sk__13 @ sk__12 ) ) )
<= ( ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) )
& ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl13191]) ).
thf(zip_derived_cl37_005,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73657,plain,
( ( ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ sk__13 @ sk__12 ) )
| ( ( relation_image @ sk__13 @ sk__12 )
!= ( relation_image @ sk__13 @ sk__12 ) ) )
<= ( ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) )
& ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl73651,zip_derived_cl37]) ).
thf('4',plain,
( ~ ! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__13 ) )
| ~ ( in @ ( ordered_pair @ X0 @ sk__11 ) @ sk__13 )
| ~ ( in @ X0 @ sk__12 ) )
| ~ ( in @ sk__11 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl73657]) ).
thf(zip_derived_cl73673,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CyOQrdD1HE true
% 0.23/0.39 % Computer : n027.cluster.edu
% 0.23/0.39 % Model : x86_64 x86_64
% 0.23/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.39 % Memory : 8042.1875MB
% 0.23/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.39 % CPULimit : 300
% 0.23/0.39 % WCLimit : 300
% 0.23/0.39 % DateTime : Wed Aug 23 12:58:47 EDT 2023
% 0.23/0.39 % CPUTime :
% 0.23/0.39 % Running portfolio for 300 s
% 0.23/0.39 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.39 % Number of cores: 8
% 0.23/0.39 % Python version: Python 3.6.8
% 0.23/0.40 % Running in FO mode
% 0.26/0.63 % Total configuration time : 435
% 0.26/0.63 % Estimated wc time : 1092
% 0.26/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.26/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.26/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.26/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.26/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.26/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.26/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.26/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 93.81/14.04 % Solved by fo/fo1_av.sh.
% 93.81/14.04 % done 13338 iterations in 13.225s
% 93.81/14.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 93.81/14.04 % SZS output start Refutation
% See solution above
% 93.81/14.04
% 93.81/14.04
% 93.81/14.04 % Terminating...
% 94.19/14.12 % Runner terminated.
% 94.19/14.13 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------