TSTP Solution File: SEU227+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU227+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.NuF7XZdern true
% Computer : n022.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 19:11:25 EDT 2023
% Result : Theorem 1.40s 0.99s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 48 ( 7 unt; 11 typ; 0 def)
% Number of atoms : 107 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 436 ( 34 ~; 53 |; 2 &; 332 @)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 0 ^; 71 !; 3 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_inverse_image_type,type,
relation_inverse_image: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i > $i ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(t146_funct_1,conjecture,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( subset @ A @ ( relation_dom @ B ) )
=> ( subset @ A @ ( relation_inverse_image @ B @ ( relation_image @ B @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( subset @ A @ ( relation_dom @ B ) )
=> ( subset @ A @ ( relation_inverse_image @ B @ ( relation_image @ B @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t146_funct_1]) ).
thf(zip_derived_cl31,plain,
~ ( subset @ sk__12 @ ( relation_inverse_image @ sk__13 @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__6 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__6 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl30,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
subset @ sk__12 @ ( relation_dom @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__6 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ~ ( subset @ X0 @ X2 )
| ( in @ ( sk__6 @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl13]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ( in @ ( sk__6 @ X0 @ sk__12 ) @ ( relation_dom @ sk__13 ) )
| ( subset @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl60]) ).
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_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ ( ordered_pair @ X2 @ ( sk__9 @ X2 @ X0 ) ) @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__12 @ X0 )
| ~ ( relation @ X1 )
| ( in @ ( ordered_pair @ ( sk__6 @ X0 @ sk__12 ) @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ X1 ) ) @ X1 )
| ( ( relation_dom @ sk__13 )
!= ( relation_dom @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl18]) ).
thf(zip_derived_cl338,plain,
! [X0: $i] :
( ( ( relation_dom @ sk__13 )
!= ( relation_dom @ sk__13 ) )
| ( in @ ( ordered_pair @ ( sk__6 @ X0 @ sk__12 ) @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) ) @ sk__13 )
| ( subset @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl126]) ).
thf(zip_derived_cl339,plain,
! [X0: $i] :
( ( subset @ sk__12 @ X0 )
| ( in @ ( ordered_pair @ ( sk__6 @ X0 @ sk__12 ) @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) ) @ sk__13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl338]) ).
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_cl6,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_cl637,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ sk__12 @ X0 )
| ~ ( relation @ sk__13 )
| ~ ( in @ ( sk__6 @ X0 @ sk__12 ) @ X1 )
| ( in @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) @ X2 )
| ( X2
!= ( relation_image @ sk__13 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl6]) ).
thf(zip_derived_cl30_002,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ sk__12 @ X0 )
| ~ ( in @ ( sk__6 @ X0 @ sk__12 ) @ X1 )
| ( in @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) @ X2 )
| ( X2
!= ( relation_image @ sk__13 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl637,zip_derived_cl30]) ).
thf(zip_derived_cl740,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__12 @ X0 )
| ( X1
!= ( relation_image @ sk__13 @ sk__12 ) )
| ( in @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) @ X1 )
| ( subset @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl640]) ).
thf(zip_derived_cl742,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) @ X1 )
| ( X1
!= ( relation_image @ sk__13 @ sk__12 ) )
| ( subset @ sk__12 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl740]) ).
thf(zip_derived_cl744,plain,
! [X0: $i] :
( ( subset @ sk__12 @ X0 )
| ( in @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) @ ( relation_image @ sk__13 @ sk__12 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl742]) ).
thf(zip_derived_cl339_003,plain,
! [X0: $i] :
( ( subset @ sk__12 @ X0 )
| ( in @ ( ordered_pair @ ( sk__6 @ X0 @ sk__12 ) @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) ) @ sk__13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl338]) ).
thf(d14_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_inverse_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ B )
& ( in @ ( ordered_pair @ D @ E ) @ A ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2
!= ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ X3 @ X2 )
| ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
| ~ ( in @ X4 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d14_relat_1]) ).
thf(zip_derived_cl638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ sk__12 @ X0 )
| ~ ( relation @ sk__13 )
| ~ ( in @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) @ X1 )
| ( in @ ( sk__6 @ X0 @ sk__12 ) @ X2 )
| ( X2
!= ( relation_inverse_image @ sk__13 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl12]) ).
thf(zip_derived_cl30_004,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ sk__12 @ X0 )
| ~ ( in @ ( sk__9 @ ( sk__6 @ X0 @ sk__12 ) @ sk__13 ) @ X1 )
| ( in @ ( sk__6 @ X0 @ sk__12 ) @ X2 )
| ( X2
!= ( relation_inverse_image @ sk__13 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl638,zip_derived_cl30]) ).
thf(zip_derived_cl759,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__12 @ X0 )
| ( X1
!= ( relation_inverse_image @ sk__13 @ ( relation_image @ sk__13 @ sk__12 ) ) )
| ( in @ ( sk__6 @ X0 @ sk__12 ) @ X1 )
| ( subset @ sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl744,zip_derived_cl641]) ).
thf(zip_derived_cl772,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__6 @ X0 @ sk__12 ) @ X1 )
| ( X1
!= ( relation_inverse_image @ sk__13 @ ( relation_image @ sk__13 @ sk__12 ) ) )
| ( subset @ sk__12 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl759]) ).
thf(zip_derived_cl773,plain,
! [X0: $i] :
( ( subset @ sk__12 @ X0 )
| ( in @ ( sk__6 @ X0 @ sk__12 ) @ ( relation_inverse_image @ sk__13 @ ( relation_image @ sk__13 @ sk__12 ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl772]) ).
thf(zip_derived_cl784,plain,
( ( subset @ sk__12 @ ( relation_inverse_image @ sk__13 @ ( relation_image @ sk__13 @ sk__12 ) ) )
| ( subset @ sk__12 @ ( relation_inverse_image @ sk__13 @ ( relation_image @ sk__13 @ sk__12 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl773]) ).
thf(zip_derived_cl786,plain,
subset @ sk__12 @ ( relation_inverse_image @ sk__13 @ ( relation_image @ sk__13 @ sk__12 ) ),
inference(simplify,[status(thm)],[zip_derived_cl784]) ).
thf(zip_derived_cl794,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl786]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU227+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NuF7XZdern true
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 19:47:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.40/0.99 % Solved by fo/fo4.sh.
% 1.40/0.99 % done 160 iterations in 0.172s
% 1.40/0.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.40/0.99 % SZS output start Refutation
% See solution above
% 1.40/1.00
% 1.40/1.00
% 1.40/1.00 % Terminating...
% 1.60/1.07 % Runner terminated.
% 1.70/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------