TSTP Solution File: SEU807^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU807^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nY2F9XHdZ0 true
% Computer : n023.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 19:18:07 EDT 2023
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 51 ( 19 unt; 11 typ; 0 def)
% Number of atoms : 139 ( 35 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 416 ( 37 ~; 29 |; 8 &; 300 @)
% ( 4 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 123 ( 0 ^; 111 !; 12 ?; 123 :)
% Comments :
%------------------------------------------------------------------------------
thf(setadjoinIR_type,type,
setadjoinIR: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(in__Cong_type,type,
in__Cong: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__18_type,type,
sk__18: $i > $i ).
thf(foundationAx_type,type,
foundationAx: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(upairset2E_type,type,
upairset2E: $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(upairset2E,axiom,
( upairset2E
= ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) ) ) ).
thf('0',plain,
( upairset2E
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) )
=> ( ( X8 = X4 )
| ( X8 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(in__Cong,axiom,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ) ).
thf('1',plain,
( in__Cong
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( in @ X8 @ X4 )
<=> ( in @ X10 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoinIR,axiom,
( setadjoinIR
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ).
thf('2',plain,
( setadjoinIR
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoinIL,axiom,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
thf('3',plain,
( setadjoinIL
= ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(foundationAx,axiom,
( foundationAx
= ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ? [B: $i] :
( ~ ? [Xx: $i] :
( ( in @ Xx @ A )
& ( in @ Xx @ B ) )
& ( in @ B @ A ) ) ) ) ) ).
thf('4',plain,
( foundationAx
= ( ! [X4: $i] :
( ? [X6: $i] : ( in @ X6 @ X4 )
=> ? [X8: $i] :
( ~ ? [X10: $i] :
( ( in @ X10 @ X4 )
& ( in @ X10 @ X8 ) )
& ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(notinself2,conjecture,
( foundationAx
=> ( setadjoinIL
=> ( setadjoinIR
=> ( in__Cong
=> ( upairset2E
=> ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
( ? [X6: $i] : ( in @ X6 @ X4 )
=> ? [X8: $i] :
( ~ ? [X10: $i] :
( ( in @ X10 @ X4 )
& ( in @ X10 @ X8 ) )
& ( in @ X8 @ X4 ) ) )
=> ( ! [X12: $i,X14: $i] : ( in @ X12 @ ( setadjoin @ X12 @ X14 ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X18 )
=> ( in @ X20 @ ( setadjoin @ X16 @ X18 ) ) )
=> ( ! [X22: $i,X24: $i] :
( ( X22 = X24 )
=> ! [X26: $i,X28: $i] :
( ( X26 = X28 )
=> ( ( in @ X26 @ X22 )
<=> ( in @ X28 @ X24 ) ) ) )
=> ( ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34 @ ( setadjoin @ X30 @ ( setadjoin @ X32 @ emptyset ) ) )
=> ( ( X34 = X30 )
| ( X34 = X32 ) ) )
=> ! [X36: $i,X38: $i] :
( ( in @ X36 @ X38 )
=> ~ ( in @ X38 @ X36 ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
( ? [X6: $i] : ( in @ X6 @ X4 )
=> ? [X8: $i] :
( ~ ? [X10: $i] :
( ( in @ X10 @ X4 )
& ( in @ X10 @ X8 ) )
& ( in @ X8 @ X4 ) ) )
=> ( ! [X12: $i,X14: $i] : ( in @ X12 @ ( setadjoin @ X12 @ X14 ) )
=> ( ! [X16: $i,X18: $i,X20: $i] :
( ( in @ X20 @ X18 )
=> ( in @ X20 @ ( setadjoin @ X16 @ X18 ) ) )
=> ( ! [X22: $i,X24: $i] :
( ( X22 = X24 )
=> ! [X26: $i,X28: $i] :
( ( X26 = X28 )
=> ( ( in @ X26 @ X22 )
<=> ( in @ X28 @ X24 ) ) ) )
=> ( ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34 @ ( setadjoin @ X30 @ ( setadjoin @ X32 @ emptyset ) ) )
=> ( ( X34 = X30 )
| ( X34 = X32 ) ) )
=> ! [X36: $i,X38: $i] :
( ( in @ X36 @ X38 )
=> ~ ( in @ X38 @ X36 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
in @ sk__17 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X13: $i,X14: $i] : ( in @ X13 @ ( setadjoin @ X13 @ X14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( in @ X3 @ ( setadjoin @ X4 @ X5 ) )
| ~ ( in @ X3 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8_001,plain,
! [X13: $i,X14: $i] : ( in @ X13 @ ( setadjoin @ X13 @ X14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X1: $i,X2: $i] :
( ( in @ ( sk__18 @ X1 ) @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] : ( in @ ( sk__18 @ ( setadjoin @ X1 @ X0 ) ) @ ( setadjoin @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X6: $i,X7: $i,X8: $i] :
( ( X7 = X6 )
| ( X7 = X8 )
| ~ ( in @ X7 @ ( setadjoin @ X8 @ ( setadjoin @ X6 @ emptyset ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ( ( sk__18 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= X1 )
| ( ( sk__18 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl11_002,plain,
! [X0: $i,X1: $i] : ( in @ ( sk__18 @ ( setadjoin @ X1 @ X0 ) ) @ ( setadjoin @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
| ( ( sk__18 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl11]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( sk__18 @ X1 ) )
| ~ ( in @ X0 @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__18 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
| ( in @ X1 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) )
| ~ ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl23]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( setadjoin @ X0 @ emptyset ) )
| ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
| ~ ( in @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl148]) ).
thf(zip_derived_cl178,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl168]) ).
thf(zip_derived_cl8_003,plain,
! [X13: $i,X14: $i] : ( in @ X13 @ ( setadjoin @ X13 @ X14 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40_004,plain,
! [X0: $i,X1: $i] :
( ( ( sk__18 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= X1 )
| ( ( sk__18 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl23_005,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__18 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
| ( ( sk__18 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= X1 )
| ~ ( in @ X2 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl23]) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i] :
( ( ( sk__18 @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) )
= X1 )
| ~ ( in @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl105]) ).
thf(zip_derived_cl23_006,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( sk__18 @ X0 ) )
| ~ ( in @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl219,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
| ~ ( in @ X0 @ X1 )
| ~ ( in @ X2 @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl23]) ).
thf(zip_derived_cl224,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X1 @ X0 )
| ~ ( in @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl219]) ).
thf(zip_derived_cl233,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ~ ( in @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl224]) ).
thf(zip_derived_cl240,plain,
~ ( in @ sk__16 @ sk__17 ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl233]) ).
thf(zip_derived_cl5,plain,
in @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl257,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU807^2 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nY2F9XHdZ0 true
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 22:45:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.53/0.64 % Total configuration time : 828
% 0.53/0.64 % Estimated wc time : 1656
% 0.53/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.77 % Solved by lams/40_c.s.sh.
% 0.55/0.77 % done 89 iterations in 0.055s
% 0.55/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.55/0.77
% 0.55/0.77
% 0.55/0.77 % Terminating...
% 0.55/0.85 % Runner terminated.
% 1.81/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------