TSTP Solution File: SEU669^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU669^2 : 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.nwBIYpqnCb true
% Computer : n006.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 19:15:56 EDT 2023
% Result : Theorem 0.23s 0.76s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 20
% Syntax : Number of formulae : 30 ( 11 unt; 12 typ; 0 def)
% Number of atoms : 67 ( 13 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 237 ( 5 ~; 3 |; 18 &; 192 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 8 con; 0-3 aty)
% ( 0 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 87 ( 24 ^; 53 !; 10 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__9_type,type,
sk__9: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(cartprodpairmemEL_type,type,
cartprodpairmemEL: $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(dpsetconstr_type,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(dpsetconstr,axiom,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ) ).
thf('0',plain,
( dpsetconstr
= ( ^ [A: $i,B: $i,Xphi: $i > $i > $o] :
( dsetconstr @ ( cartprod @ A @ B )
@ ^ [Xu: $i] :
? [Xx: $i] :
( ? [Xy: $i] :
( ( Xu
= ( kpair @ Xx @ Xy ) )
& ( Xphi @ Xx @ Xy )
& ( in @ Xy @ B ) )
& ( in @ Xx @ A ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[dpsetconstr]) ).
thf('1',plain,
( dpsetconstr
= ( ^ [V_1: $i,V_2: $i,V_3: $i > $i > $o] :
( dsetconstr @ ( cartprod @ V_1 @ V_2 )
@ ^ [V_4: $i] :
? [X4: $i] :
( ? [X6: $i] :
( ( V_4
= ( kpair @ X4 @ X6 ) )
& ( V_3 @ X4 @ X6 )
& ( in @ X6 @ V_2 ) )
& ( in @ X4 @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(cartprodpairmemEL,axiom,
( cartprodpairmemEL
= ( ! [A: $i,B: $i,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('2',plain,
( cartprodpairmemEL
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( in @ ( kpair @ X8 @ X10 ) @ ( cartprod @ X4 @ X6 ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('3',plain,
( dsetconstrEL
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(dpsetconstrEL1,conjecture,
( dsetconstrEL
=> ( cartprodpairmemEL
=> ! [A: $i,B: $i,Xphi: $i > $i > $o,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy )
@ ( dpsetconstr @ A @ B
@ ^ [Xz: $i,Xu: $i] : ( Xphi @ Xz @ Xu ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i,X14: $i,X16: $i] :
( ( in @ ( kpair @ X14 @ X16 ) @ ( cartprod @ X10 @ X12 ) )
=> ( in @ X14 @ X10 ) )
=> ! [X18: $i,X20: $i,X22: $i > $i > $o,X24: $i,X26: $i] :
( ( in @ ( kpair @ X24 @ X26 )
@ ( dsetconstr @ ( cartprod @ X18 @ X20 )
@ ^ [V_2: $i] :
? [X28: $i] :
( ( in @ X28 @ X18 )
& ? [X30: $i] :
( ( in @ X30 @ X20 )
& ( X22 @ X28 @ X30 )
& ( V_2
= ( kpair @ X28 @ X30 ) ) ) ) ) )
=> ( in @ X24 @ X18 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ( ! [X10: $i,X12: $i,X14: $i,X16: $i] :
( ( in @ ( kpair @ X14 @ X16 ) @ ( cartprod @ X10 @ X12 ) )
=> ( in @ X14 @ X10 ) )
=> ! [X18: $i,X20: $i,X22: $i > $i > $o,X24: $i,X26: $i] :
( ( in @ ( kpair @ X24 @ X26 )
@ ( dsetconstr @ ( cartprod @ X18 @ X20 )
@ ^ [V_2: $i] :
? [X28: $i] :
( ( in @ X28 @ X18 )
& ? [X30: $i] :
( ( in @ X30 @ X20 )
& ( X22 @ X28 @ X30 )
& ( V_2
= ( kpair @ X28 @ X30 ) ) ) ) ) )
=> ( in @ X24 @ X18 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( in @ sk__10 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
( in @ ( kpair @ sk__10 @ sk__11 )
@ ( dsetconstr @ ( cartprod @ sk__7 @ sk__8 )
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ sk__7 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ sk__8 )
& ( sk__9 @ Y1 @ Y2 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
in @ ( kpair @ sk__10 @ sk__11 ) @ ( cartprod @ sk__7 @ sk__8 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
! [X3: $i,X4: $i,X5: $i,X6: $i] :
( ( in @ X3 @ X4 )
| ~ ( in @ ( kpair @ X3 @ X5 ) @ ( cartprod @ X4 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
in @ sk__10 @ sk__7,
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU669^2 : 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.nwBIYpqnCb true
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 14:20:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.23/0.68 % Total configuration time : 828
% 0.23/0.68 % Estimated wc time : 1656
% 0.23/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.76 % Solved by lams/40_c.s.sh.
% 0.23/0.76 % done 5 iterations in 0.013s
% 0.23/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.76 % SZS output start Refutation
% See solution above
% 0.23/0.76
% 0.23/0.76
% 0.23/0.76 % Terminating...
% 1.15/0.87 % Runner terminated.
% 1.15/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------