TSTP Solution File: SEU811^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU811^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gl243h3pOK true
% Computer : n020.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 19:18:13 EDT 2023
% Result : Theorem 0.22s 0.74s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 42 ( 22 unt; 10 typ; 0 def)
% Number of atoms : 104 ( 39 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 241 ( 14 ~; 12 |; 0 &; 158 @)
% ( 4 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 74 ( 3 ^; 71 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(in__Cong_type,type,
in__Cong: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(notinself2_type,type,
notinself2: $o ).
thf(omega_type,type,
omega: $i ).
thf(setadjoinE_type,type,
setadjoinE: $o ).
thf(omegaS_type,type,
omegaS: $i > $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(omegaS,axiom,
( omegaS
= ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ) ).
thf('0',plain,
( omegaS
= ( ^ [Xx: $i] : ( setadjoin @ Xx @ Xx ) ) ),
inference(simplify_rw_rule,[status(thm)],[omegaS]) ).
thf('1',plain,
( omegaS
= ( ^ [V_1: $i] : ( setadjoin @ V_1 @ V_1 ) ) ),
define([status(thm)]) ).
thf(notinself2,axiom,
( notinself2
= ( ! [A: $i,B: $i] :
( ( in @ A @ B )
=> ~ ( in @ B @ A ) ) ) ) ).
thf('2',plain,
( notinself2
= ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ X6 )
=> ~ ( in @ X6 @ X4 ) ) ) ),
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('3',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(setadjoinE,axiom,
( setadjoinE
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
=> ! [Xphi: $o] :
( ( ( Xy = Xx )
=> Xphi )
=> ( ( ( in @ Xy @ A )
=> Xphi )
=> Xphi ) ) ) ) ) ).
thf('4',plain,
( setadjoinE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
=> ! [X10: $o] :
( ( ( X8 = X4 )
=> X10 )
=> ( ( ( in @ X8 @ X6 )
=> X10 )
=> X10 ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoinIL,axiom,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
thf('5',plain,
( setadjoinIL
= ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(peanoSinj,conjecture,
( setadjoinIL
=> ( setadjoinE
=> ( in__Cong
=> ( notinself2
=> ! [Xx: $i] :
( ( in @ Xx @ omega )
=> ! [Xy: $i] :
( ( in @ Xy @ omega )
=> ( ( ( omegaS @ Xx )
= ( omegaS @ Xy ) )
=> ( Xx = Xy ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( in @ X12 @ ( setadjoin @ X8 @ X10 ) )
=> ! [X14: $o] :
( ( ( X12 = X8 )
=> X14 )
=> ( ( ( in @ X12 @ X10 )
=> X14 )
=> X14 ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( X16 = X18 )
=> ! [X20: $i,X22: $i] :
( ( X20 = X22 )
=> ( ( in @ X20 @ X16 )
<=> ( in @ X22 @ X18 ) ) ) )
=> ( ! [X24: $i,X26: $i] :
( ( in @ X24 @ X26 )
=> ~ ( in @ X26 @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ omega )
=> ! [X30: $i] :
( ( in @ X30 @ omega )
=> ( ( ( setadjoin @ X28 @ X28 )
= ( setadjoin @ X30 @ X30 ) )
=> ( X28 = X30 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) )
=> ( ! [X8: $i,X10: $i,X12: $i] :
( ( in @ X12 @ ( setadjoin @ X8 @ X10 ) )
=> ! [X14: $o] :
( ( ( X12 = X8 )
=> X14 )
=> ( ( ( in @ X12 @ X10 )
=> X14 )
=> X14 ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( X16 = X18 )
=> ! [X20: $i,X22: $i] :
( ( X20 = X22 )
=> ( ( in @ X20 @ X16 )
<=> ( in @ X22 @ X18 ) ) ) )
=> ( ! [X24: $i,X26: $i] :
( ( in @ X24 @ X26 )
=> ~ ( in @ X26 @ X24 ) )
=> ! [X28: $i] :
( ( in @ X28 @ omega )
=> ! [X30: $i] :
( ( in @ X30 @ omega )
=> ( ( ( setadjoin @ X28 @ X28 )
= ( setadjoin @ X30 @ X30 ) )
=> ( X28 = X30 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
( ( setadjoin @ sk__12 @ sk__12 )
= ( setadjoin @ sk__13 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
in @ sk__13 @ ( setadjoin @ sk__12 @ sk__12 ),
inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl11,plain,
! [X8: $o,X9: $i,X10: $i,X11: $i] :
( ( X9 = X10 )
| X8
| ( in @ X9 @ X11 )
| ~ ( in @ X9 @ ( setadjoin @ X10 @ X11 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( setadjoin @ X1 @ X2 ) )
| ( in @ X0 @ X2 ) ),
inference(condensation,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl29,plain,
( ( in @ sk__13 @ sk__12 )
| ( sk__13 = sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl27]) ).
thf(zip_derived_cl4,plain,
sk__12 != sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl34,plain,
in @ sk__13 @ sk__12,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X6: $i,X7: $i] :
( ~ ( in @ X6 @ X7 )
| ~ ( in @ X7 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl36,plain,
~ ( in @ sk__12 @ sk__13 ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl7]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( setadjoin @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_002,plain,
( ( setadjoin @ sk__12 @ sk__12 )
= ( setadjoin @ sk__13 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl27_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( setadjoin @ X1 @ X2 ) )
| ( in @ X0 @ X2 ) ),
inference(condensation,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( setadjoin @ sk__12 @ sk__12 ) )
| ( in @ X0 @ sk__13 )
| ( X0 = sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl27]) ).
thf(zip_derived_cl40,plain,
( ( sk__12 = sk__13 )
| ( in @ sk__12 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl28]) ).
thf(zip_derived_cl4_004,plain,
sk__12 != sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl43,plain,
in @ sk__12 @ sk__13,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl40,zip_derived_cl4]) ).
thf(zip_derived_cl45,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU811^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gl243h3pOK true
% 0.14/0.35 % Computer : n020.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 16:26:00 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % Solved by lams/40_c.s.sh.
% 0.22/0.74 % done 29 iterations in 0.014s
% 0.22/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.74 % SZS output start Refutation
% See solution above
% 0.22/0.74
% 0.22/0.74
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74 % Terminating...
% 0.22/0.78 % Runner terminated.
% 0.22/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------