TSTP Solution File: SEU179+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU179+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nT91qZbKop true
% Computer : n026.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 19:11:03 EDT 2023
% Result : Theorem 68.28s 10.44s
% Output : Refutation 68.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 68 ( 17 unt; 13 typ; 0 def)
% Number of atoms : 137 ( 45 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 535 ( 63 ~; 66 |; 2 &; 390 @)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 109 ( 0 ^; 107 !; 2 ?; 109 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t25_relat_1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ( ( subset @ A @ B )
=> ( ( subset @ ( relation_dom @ A ) @ ( relation_dom @ B ) )
& ( subset @ ( relation_rng @ A ) @ ( relation_rng @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ( ( subset @ A @ B )
=> ( ( subset @ ( relation_dom @ A ) @ ( relation_dom @ B ) )
& ( subset @ ( relation_rng @ A ) @ ( relation_rng @ B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t25_relat_1]) ).
thf(zip_derived_cl38,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ ( ordered_pair @ X2 @ ( sk__3 @ X2 @ X0 ) ) @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl214,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ( in @ ( ordered_pair @ X1 @ ( sk__3 @ X1 @ sk__13 ) ) @ sk__13 )
| ( X0
!= ( relation_dom @ sk__13 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl38,zip_derived_cl7]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl13,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_cl284,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl506,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ ( sk__3 @ X1 @ sk__13 ) ) ) @ sk__13 )
| ( X0
!= ( relation_dom @ sk__13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl284]) ).
thf(zip_derived_cl513,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( X0
!= ( relation_dom @ sk__13 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk_ @ X1 @ X0 ) ) @ ( unordered_pair @ ( sk_ @ X1 @ X0 ) @ ( sk__3 @ ( sk_ @ X1 @ X0 ) @ sk__13 ) ) ) @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl506]) ).
thf(zip_derived_cl39,plain,
subset @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,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_cl240,plain,
! [X0: $i] :
( ( in @ X0 @ sk__14 )
| ~ ( in @ X0 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl2]) ).
thf(zip_derived_cl41,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,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_cl223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X1 @ X2 ) @ sk__14 )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_dom @ sk__14 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl8]) ).
thf(zip_derived_cl284_001,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X2 ) ) @ sk__14 )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_dom @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl284]) ).
thf(zip_derived_cl360,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X0 ) ) @ sk__13 )
| ( X2
!= ( relation_dom @ sk__14 ) )
| ( in @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl359]) ).
thf(zip_derived_cl1893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_dom @ sk__13 ) )
| ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X2 )
| ( X2
!= ( relation_dom @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl513,zip_derived_cl360]) ).
thf(zip_derived_cl29547,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ( X0
!= ( relation_dom @ sk__14 ) )
| ( subset @ X1 @ X0 )
| ( X1
!= ( relation_dom @ sk__13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1893]) ).
thf(zip_derived_cl29562,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( relation_dom @ sk__13 ) )
| ( X0
!= ( relation_dom @ sk__14 ) )
| ( subset @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl29547]) ).
thf(zip_derived_cl40,plain,
( ~ ( subset @ ( relation_dom @ sk__13 ) @ ( relation_dom @ sk__14 ) )
| ~ ( subset @ ( relation_rng @ sk__13 ) @ ( relation_rng @ sk__14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl38_004,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d5_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ ( ordered_pair @ ( sk__6 @ X2 @ X0 ) @ X2 ) @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl218,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ( in @ ( ordered_pair @ ( sk__6 @ X1 @ sk__13 ) @ X1 ) @ sk__13 )
| ( X0
!= ( relation_rng @ sk__13 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl38,zip_derived_cl11]) ).
thf(zip_derived_cl284_005,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl1_006,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl587,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__6 @ X1 @ sk__13 ) ) @ ( unordered_pair @ X1 @ ( sk__6 @ X1 @ sk__13 ) ) ) @ sk__13 )
| ( X0
!= ( relation_rng @ sk__13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl284,zip_derived_cl1]) ).
thf(zip_derived_cl596,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( X0
!= ( relation_rng @ sk__13 ) )
| ( in @ ( unordered_pair @ ( singleton @ ( sk__6 @ ( sk_ @ X1 @ X0 ) @ sk__13 ) ) @ ( unordered_pair @ ( sk_ @ X1 @ X0 ) @ ( sk__6 @ ( sk_ @ X1 @ X0 ) @ sk__13 ) ) ) @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl587]) ).
thf(zip_derived_cl1_007,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl240_008,plain,
! [X0: $i] :
( ( in @ X0 @ sk__14 )
| ~ ( in @ X0 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl2]) ).
thf(zip_derived_cl41_009,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ sk__14 )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_rng @ sk__14 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl12]) ).
thf(zip_derived_cl284_010,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl363,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X1 ) ) @ sk__14 )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_rng @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl284]) ).
thf(zip_derived_cl364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X1 ) @ ( unordered_pair @ X1 @ X0 ) ) @ sk__13 )
| ( X2
!= ( relation_rng @ sk__14 ) )
| ( in @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl363]) ).
thf(zip_derived_cl1230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X1 @ X0 ) ) @ sk__13 )
| ( in @ X1 @ X2 )
| ( X2
!= ( relation_rng @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl364]) ).
thf(zip_derived_cl2717,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_rng @ sk__13 ) )
| ( subset @ X0 @ X1 )
| ( X2
!= ( relation_rng @ sk__14 ) )
| ( in @ ( sk_ @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl1230]) ).
thf(zip_derived_cl64993,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ( X0
!= ( relation_rng @ sk__14 ) )
| ( subset @ X1 @ X0 )
| ( X1
!= ( relation_rng @ sk__13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl2717]) ).
thf(zip_derived_cl65003,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( relation_rng @ sk__13 ) )
| ( X0
!= ( relation_rng @ sk__14 ) )
| ( subset @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl64993]) ).
thf(zip_derived_cl65027,plain,
( ~ ( subset @ ( relation_dom @ sk__13 ) @ ( relation_dom @ sk__14 ) )
| ( ( relation_rng @ sk__14 )
!= ( relation_rng @ sk__14 ) )
| ( ( relation_rng @ sk__13 )
!= ( relation_rng @ sk__13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl65003]) ).
thf(zip_derived_cl65028,plain,
~ ( subset @ ( relation_dom @ sk__13 ) @ ( relation_dom @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl65027]) ).
thf(zip_derived_cl65045,plain,
( ( ( relation_dom @ sk__14 )
!= ( relation_dom @ sk__14 ) )
| ( ( relation_dom @ sk__13 )
!= ( relation_dom @ sk__13 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29562,zip_derived_cl65028]) ).
thf(zip_derived_cl65049,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl65045]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU179+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nT91qZbKop true
% 0.14/0.34 % Computer : n026.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 14:28:01 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 68.28/10.44 % Solved by fo/fo3_bce.sh.
% 68.28/10.44 % BCE start: 50
% 68.28/10.44 % BCE eliminated: 0
% 68.28/10.44 % PE start: 50
% 68.28/10.44 logic: eq
% 68.28/10.44 % PE eliminated: -13
% 68.28/10.44 % done 8499 iterations in 9.704s
% 68.28/10.44 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 68.28/10.44 % SZS output start Refutation
% See solution above
% 68.28/10.44
% 68.28/10.44
% 68.28/10.44 % Terminating...
% 68.67/10.54 % Runner terminated.
% 68.67/10.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------