TSTP Solution File: SEU610^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU610^2 : 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.OpdU0iagB9 true
% Computer : n014.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 19:14:40 EDT 2023
% Result : Theorem 0.21s 0.69s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 35 ( 14 unt; 11 typ; 0 def)
% Number of atoms : 93 ( 20 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 222 ( 10 ~; 11 |; 0 &; 154 @)
% ( 4 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 69 ( 0 ^; 69 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(subsetI2_type,type,
subsetI2: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setminusI_type,type,
setminusI: $o ).
thf(setminus_type,type,
setminus: $i > $i > $i ).
thf(emptysetE_type,type,
emptysetE: $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(in__Cong_type,type,
in__Cong: $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__14_type,type,
sk__14: $i > $i > $i ).
thf(setminusI,axiom,
( setminusI
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ( ~ ( in @ Xx @ B )
=> ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).
thf('0',plain,
( setminusI
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ~ ( in @ X8 @ X6 )
=> ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('1',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ 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('2',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(emptysetE,axiom,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ) ).
thf('3',plain,
( emptysetE
= ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 ) ) ),
define([status(thm)]) ).
thf(setminusSubset1,conjecture,
( emptysetE
=> ( in__Cong
=> ( subsetI2
=> ( setminusI
=> ! [A: $i,B: $i] :
( ( ( setminus @ A @ B )
= emptyset )
=> ( subset @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 )
=> ( ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ( ( in @ X12 @ X8 )
<=> ( in @ X14 @ X10 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( in @ X20 @ X18 ) )
=> ( subset @ X16 @ X18 ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26 @ X22 )
=> ( ~ ( in @ X26 @ X24 )
=> ( in @ X26 @ ( setminus @ X22 @ X24 ) ) ) )
=> ! [X28: $i,X30: $i] :
( ( ( setminus @ X28 @ X30 )
= emptyset )
=> ( subset @ X28 @ X30 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 )
=> ( ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ( ( in @ X12 @ X8 )
<=> ( in @ X14 @ X10 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( in @ X20 @ X18 ) )
=> ( subset @ X16 @ X18 ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( in @ X26 @ X22 )
=> ( ~ ( in @ X26 @ X24 )
=> ( in @ X26 @ ( setminus @ X22 @ X24 ) ) ) )
=> ! [X28: $i,X30: $i] :
( ( ( setminus @ X28 @ X30 )
= emptyset )
=> ( subset @ X28 @ X30 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( subset @ sk__12 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ~ ( in @ ( sk__14 @ X3 @ X2 ) @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
( ( setminus @ sk__12 @ sk__13 )
= emptyset ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ( in @ ( sk__14 @ X3 @ X2 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X4: $i,X5: $i,X6: $i] :
( ( in @ X4 @ X5 )
| ( in @ X4 @ ( setminus @ X6 @ X5 ) )
| ~ ( in @ X4 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__14 @ X1 @ X0 ) @ ( setminus @ X0 @ X2 ) )
| ( in @ ( sk__14 @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( in @ ( sk__14 @ X0 @ sk__12 ) @ emptyset )
| ( in @ ( sk__14 @ X0 @ sk__12 ) @ sk__13 )
| ( subset @ sk__12 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl24]) ).
thf(zip_derived_cl0,plain,
! [X0: $o,X1: $i] :
( X0
| ~ ( in @ X1 @ emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
~ ( in @ X0 @ emptyset ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( in @ ( sk__14 @ X0 @ sk__12 ) @ sk__13 )
| ( subset @ sk__12 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl9]) ).
thf(zip_derived_cl44,plain,
( ( subset @ sk__12 @ sk__13 )
| ( subset @ sk__12 @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl36]) ).
thf(zip_derived_cl48,plain,
subset @ sk__12 @ sk__13,
inference(simplify,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl52,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU610^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OpdU0iagB9 true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 22:10:04 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.59 % Total configuration time : 828
% 0.21/0.59 % Estimated wc time : 1656
% 0.21/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.65 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.65 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.66 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.67 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.69 % Solved by lams/40_c_ic.sh.
% 0.21/0.69 % done 19 iterations in 0.015s
% 0.21/0.69 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.69 % SZS output start Refutation
% See solution above
% 0.21/0.69
% 0.21/0.69
% 0.21/0.69 % Terminating...
% 1.44/0.81 % Runner terminated.
% 1.44/0.82 % Zipperpin 1.5 exiting
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