TSTP Solution File: SEU646^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU646^2 : 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.CzrsYkaO2e true
% Computer : n003.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 19:15:29 EDT 2023
% Result : Theorem 1.02s 0.80s
% Output : Refutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of formulae : 33 ( 12 unt; 13 typ; 0 def)
% Number of atoms : 55 ( 18 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 249 ( 8 ~; 6 |; 8 &; 214 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 60 ( 6 ^; 46 !; 8 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(kfst_type,type,
kfst: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i > $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(cartprodmempair1_type,type,
cartprodmempair1: $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(kfstpairEq_type,type,
kfstpairEq: $o ).
thf(kfstpairEq,axiom,
( kfstpairEq
= ( ! [Xx: $i,Xy: $i] :
( ( kfst @ ( kpair @ Xx @ Xy ) )
= Xx ) ) ) ).
thf('0',plain,
( kfstpairEq
= ( ! [X4: $i,X6: $i] :
( ( kfst @ ( kpair @ X4 @ X6 ) )
= X4 ) ) ),
define([status(thm)]) ).
thf(cartprodmempair1,axiom,
( cartprodmempair1
= ( ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ) ).
thf('1',plain,
( cartprodmempair1
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( kpair @ X10 @ X12 ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(kpair,axiom,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ).
thf('2',plain,
( kpair
= ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[kpair]) ).
thf('3',plain,
( kpair
= ( ^ [V_1: $i,V_2: $i] : ( setadjoin @ ( setadjoin @ V_1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) ) ),
define([status(thm)]) ).
thf(cartprodfstin,conjecture,
( cartprodmempair1
=> ( kfstpairEq
=> ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ( in @ ( kfst @ Xu ) @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) )
=> ( ! [X14: $i,X16: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) )
= X14 )
=> ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ ( cartprod @ X18 @ X20 ) )
=> ( in @ ( kfst @ X22 ) @ X18 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ? [X12: $i] :
( ( X8
= ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) )
& ( in @ X12 @ X6 ) )
& ( in @ X10 @ X4 ) ) )
=> ( ! [X14: $i,X16: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) )
= X14 )
=> ! [X18: $i,X20: $i,X22: $i] :
( ( in @ X22 @ ( cartprod @ X18 @ X20 ) )
=> ( in @ ( kfst @ X22 ) @ X18 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( in @ ( kfst @ sk__9 ) @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
in @ sk__9 @ ( cartprod @ sk__7 @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
= ( setadjoin @ ( setadjoin @ ( sk__10 @ X0 @ X1 @ X2 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__10 @ X0 @ X1 @ X2 ) @ ( setadjoin @ ( sk__11 @ X0 @ X1 @ X2 ) @ emptyset ) ) @ emptyset ) ) )
| ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X3: $i,X4: $i] :
( ( kfst @ ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X4 @ emptyset ) ) @ emptyset ) ) )
= X3 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( kfst @ X0 )
= ( sk__10 @ X0 @ X2 @ X1 ) )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__10 @ X0 @ X1 @ X2 ) @ X2 )
| ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( kfst @ X0 ) @ X1 )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) )
| ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( cartprod @ X1 @ X2 ) )
| ( in @ ( kfst @ X0 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl24,plain,
in @ ( kfst @ sk__9 ) @ sk__7,
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl16]) ).
thf(zip_derived_cl28,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU646^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CzrsYkaO2e true
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 18:41:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.02/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.02/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.02/0.80 % Solved by lams/40_c_ic.sh.
% 1.02/0.80 % done 8 iterations in 0.014s
% 1.02/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.02/0.80 % SZS output start Refutation
% See solution above
% 1.02/0.80
% 1.02/0.80
% 1.02/0.80 % Terminating...
% 1.53/0.86 % Runner terminated.
% 1.53/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------