TSTP Solution File: SEU651^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU651^2 : 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.cb5CeCTpGh true
% Computer : n012.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 19:15:32 EDT 2023
% Result : Theorem 0.18s 0.79s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 37 ( 21 unt; 10 typ; 0 def)
% Number of atoms : 65 ( 40 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 312 ( 6 ~; 3 |; 0 &; 280 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 ^; 47 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(secondinupair_type,type,
secondinupair: $o ).
thf(setukpairinjR12_type,type,
setukpairinjR12: $o ).
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(setukpairinjR12,axiom,
( setukpairinjR12
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ emptyset ) ) ) ) ) ).
thf('0',plain,
( setukpairinjR12
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ( ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ emptyset ) ) ) ) ),
define([status(thm)]) ).
thf(secondinupair,axiom,
( secondinupair
= ( ! [Xx: $i,Xy: $i] : ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) ) ) ).
thf('1',plain,
( secondinupair
= ( ! [X4: $i,X6: $i] : ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) ) ),
define([status(thm)]) ).
thf(uniqinunit,axiom,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ) ).
thf('2',plain,
( uniqinunit
= ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(setukpairinjR1,conjecture,
( uniqinunit
=> ( secondinupair
=> ( setukpairinjR12
=> ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ Xz @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xz @ ( setadjoin @ Xu @ emptyset ) ) @ emptyset ) ) )
=> ( ( Xz = Xu )
=> ( Xy = Xu ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) )
=> ( ! [X8: $i,X10: $i] : ( in @ X10 @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) )
=> ( ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X14 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ emptyset ) ) )
=> ! [X16: $i,X18: $i,X20: $i,X22: $i] :
( ( ( setadjoin @ ( setadjoin @ X16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X20 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X20 @ ( setadjoin @ X22 @ emptyset ) ) @ emptyset ) ) )
=> ( ( X20 = X22 )
=> ( X18 = X22 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) )
=> ( ! [X8: $i,X10: $i] : ( in @ X10 @ ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) )
=> ( ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ( ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X12 @ ( setadjoin @ X14 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X12 @ emptyset ) @ emptyset ) ) )
=> ! [X16: $i,X18: $i,X20: $i,X22: $i] :
( ( ( setadjoin @ ( setadjoin @ X16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X16 @ ( setadjoin @ X18 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X20 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X20 @ ( setadjoin @ X22 @ emptyset ) ) @ emptyset ) ) )
=> ( ( X20 = X22 )
=> ( X18 = X22 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( in @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
( ( setadjoin @ ( setadjoin @ sk__6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sk__8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__8 @ ( setadjoin @ sk__9 @ emptyset ) ) @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
sk__8 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
( ( setadjoin @ ( setadjoin @ sk__6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sk__8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__8 @ ( setadjoin @ sk__8 @ emptyset ) ) @ emptyset ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X4: $i,X5: $i] : ( in @ X4 @ ( setadjoin @ X5 @ ( setadjoin @ X4 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
in @ ( setadjoin @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ) ) @ ( setadjoin @ ( setadjoin @ sk__8 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__8 @ ( setadjoin @ sk__8 @ emptyset ) ) @ emptyset ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).
thf(zip_derived_cl1,plain,
! [X2: $i,X3: $i] :
( ( ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ emptyset ) )
| ( X2 != X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X3: $i] :
( ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ emptyset ) ),
inference(simplify,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
in @ ( setadjoin @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ) ) @ ( setadjoin @ ( setadjoin @ sk__8 @ emptyset ) @ emptyset ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( in @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
( ( setadjoin @ sk__6 @ ( setadjoin @ sk__7 @ emptyset ) )
= ( setadjoin @ sk__8 @ emptyset ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl0]) ).
thf(zip_derived_cl5_002,plain,
! [X4: $i,X5: $i] : ( in @ X4 @ ( setadjoin @ X5 @ ( setadjoin @ X4 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl20,plain,
in @ sk__7 @ ( setadjoin @ sk__8 @ emptyset ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl5]) ).
thf(zip_derived_cl23,plain,
sk__7 = sk__8,
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl20]) ).
thf(zip_derived_cl3,plain,
sk__7 != sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_003,plain,
sk__8 = sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
sk__7 != sk__8,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl26,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU651^2 : 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.cb5CeCTpGh true
% 0.12/0.33 % Computer : n012.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
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 23 19:41:42 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
% 0.18/0.65 % Total configuration time : 828
% 0.18/0.65 % Estimated wc time : 1656
% 0.18/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.18/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.18/0.79 % Solved by lams/40_c.s.sh.
% 0.18/0.79 % done 9 iterations in 0.018s
% 0.18/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.18/0.79 % SZS output start Refutation
% See solution above
% 0.18/0.79
% 0.18/0.79
% 0.18/0.79 % Terminating...
% 1.75/0.87 % Runner terminated.
% 1.75/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------