TSTP Solution File: SEU252+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU252+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.ZWxp60Lpnz 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 19:11:37 EDT 2023
% Result : Theorem 1.43s 1.15s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 62 ( 18 unt; 12 typ; 0 def)
% Number of atoms : 113 ( 7 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 557 ( 58 ~; 47 |; 3 &; 436 @)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 0 ^; 61 !; 0 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(relation_restriction_type,type,
relation_restriction: $i > $i > $i ).
thf(relation_field_type,type,
relation_field: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(dt_k2_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ A )
=> ( relation @ ( relation_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k2_wellord1]) ).
thf(l1_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( reflexive @ A )
<=> ! [B: $i] :
( ( in @ B @ ( relation_field @ A ) )
=> ( in @ ( ordered_pair @ B @ B ) @ A ) ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ~ ( in @ ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) ) @ X0 )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l1_wellord1]) ).
thf(t22_wellord1,conjecture,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( reflexive @ B )
=> ( reflexive @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( reflexive @ B )
=> ( reflexive @ ( relation_restriction @ B @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t22_wellord1]) ).
thf(zip_derived_cl54,plain,
~ ( reflexive @ ( relation_restriction @ sk__8 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl226,plain,
( ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) )
| ~ ( in @ ( ordered_pair @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl54]) ).
thf(d5_tarski,axiom,
! [A: $i,B: $i] :
( ( ordered_pair @ A @ B )
= ( unordered_pair @ ( unordered_pair @ A @ B ) @ ( singleton @ A ) ) ) ).
thf(zip_derived_cl8,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_cl5,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl282,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl406,plain,
( ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) ) @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl282]) ).
thf(t106_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t106_zfmisc_1]) ).
thf(zip_derived_cl282_001,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl282]) ).
thf(t16_wellord1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_restriction @ C @ B ) )
<=> ( ( in @ A @ C )
& ( in @ A @ ( cartesian_product2 @ B @ B ) ) ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( cartesian_product2 @ X2 @ X2 ) )
| ( in @ X0 @ ( relation_restriction @ X1 @ X2 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t16_wellord1]) ).
thf(zip_derived_cl329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X2 @ X0 )
| ~ ( in @ X1 @ X0 )
| ~ ( relation @ X3 )
| ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X1 ) ) @ ( relation_restriction @ X3 @ X0 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ X2 ) @ ( unordered_pair @ X2 @ X1 ) ) @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl315,zip_derived_cl46]) ).
thf(zip_derived_cl1490,plain,
( ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) ) @ sk__8 )
| ~ ( relation @ sk__8 )
| ~ ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ sk__7 )
| ~ ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ sk__7 ) ),
inference('sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl329]) ).
thf(zip_derived_cl53,plain,
relation @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1499,plain,
( ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) ) @ sk__8 )
| ~ ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ sk__7 )
| ~ ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl1490,zip_derived_cl53]) ).
thf(zip_derived_cl1500,plain,
( ~ ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ sk__7 )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) ) @ sk__8 )
| ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1499]) ).
thf(t19_wellord1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ A @ ( relation_field @ ( relation_restriction @ C @ B ) ) )
=> ( ( in @ A @ ( relation_field @ C ) )
& ( in @ A @ B ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_field @ ( relation_restriction @ X1 @ X2 ) ) )
| ( in @ X0 @ X2 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t19_wellord1]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 ) @ ( relation_field @ X0 ) )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l1_wellord1]) ).
thf(zip_derived_cl54_002,plain,
~ ( reflexive @ ( relation_restriction @ sk__8 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
( ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) )
| ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( relation_field @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl54]) ).
thf(zip_derived_cl365,plain,
( ~ ( relation @ sk__8 )
| ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ sk__7 )
| ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl224]) ).
thf(zip_derived_cl53_003,plain,
relation @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl367,plain,
( ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ sk__7 )
| ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl365,zip_derived_cl53]) ).
thf(zip_derived_cl1511,plain,
( ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) )
| ~ ( in @ ( unordered_pair @ ( singleton @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) @ ( unordered_pair @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) ) @ sk__8 ) ),
inference(clc,[status(thm)],[zip_derived_cl1500,zip_derived_cl367]) ).
thf(zip_derived_cl55,plain,
reflexive @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ~ ( reflexive @ X0 )
| ( in @ ( ordered_pair @ X1 @ X1 ) @ X0 )
| ~ ( in @ X1 @ ( relation_field @ X0 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[l1_wellord1]) ).
thf(zip_derived_cl227,plain,
! [X0: $i] :
( ~ ( relation @ sk__8 )
| ~ ( in @ X0 @ ( relation_field @ sk__8 ) )
| ( in @ ( ordered_pair @ X0 @ X0 ) @ sk__8 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl55,zip_derived_cl32]) ).
thf(zip_derived_cl53_004,plain,
relation @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl282_005,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl331,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_field @ sk__8 ) )
| ( in @ ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ X0 ) ) @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl53,zip_derived_cl282]) ).
thf(zip_derived_cl1512,plain,
( ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) )
| ~ ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( relation_field @ sk__8 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl331]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_field @ ( relation_restriction @ X1 @ X2 ) ) )
| ( in @ X0 @ ( relation_field @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t19_wellord1]) ).
thf(zip_derived_cl224_006,plain,
( ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) )
| ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( relation_field @ ( relation_restriction @ sk__8 @ sk__7 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl54]) ).
thf(zip_derived_cl366,plain,
( ~ ( relation @ sk__8 )
| ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( relation_field @ sk__8 ) )
| ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl224]) ).
thf(zip_derived_cl53_007,plain,
relation @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl368,plain,
( ( in @ ( sk__1 @ ( relation_restriction @ sk__8 @ sk__7 ) ) @ ( relation_field @ sk__8 ) )
| ~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl53]) ).
thf(zip_derived_cl1532,plain,
~ ( relation @ ( relation_restriction @ sk__8 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl1512,zip_derived_cl368]) ).
thf(zip_derived_cl1534,plain,
~ ( relation @ sk__8 ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1532]) ).
thf(zip_derived_cl53_008,plain,
relation @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1537,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1534,zip_derived_cl53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU252+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.ZWxp60Lpnz true
% 0.14/0.35 % Computer : n022.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 12:54:41 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.43/1.15 % Solved by fo/fo3_bce.sh.
% 1.43/1.15 % BCE start: 61
% 1.43/1.15 % BCE eliminated: 2
% 1.43/1.15 % PE start: 59
% 1.43/1.15 logic: eq
% 1.43/1.15 % PE eliminated: 1
% 1.43/1.15 % done 338 iterations in 0.343s
% 1.43/1.15 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.43/1.15 % SZS output start Refutation
% See solution above
% 1.43/1.15
% 1.43/1.15
% 1.43/1.15 % Terminating...
% 1.81/1.28 % Runner terminated.
% 1.81/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------