TSTP Solution File: SEU660^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU660^2 : 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.aBDTgOomdY true
% Computer : n022.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 19:15:38 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 10 unt; 11 typ; 0 def)
% Number of atoms : 182 ( 49 equ; 0 cnn)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 569 ( 21 ~; 12 |; 24 &; 414 @)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 9 con; 0-3 aty)
% ( 45 !!; 14 ??; 0 @@+; 0 @@-)
% Number of variables : 161 ( 59 ^; 94 !; 8 ?; 161 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(cartprod_type,type,
cartprod: $i > $i > $i ).
thf(setukpairinjR_type,type,
setukpairinjR: $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf(cartprodmempair1_type,type,
cartprodmempair1: $o ).
thf(kpair_type,type,
kpair: $i > $i > $i ).
thf('#sk6_type',type,
'#sk6': $i > $i > $i > $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk4_type',type,
'#sk4': $i > $i > $i > $i ).
thf(setukpairinjR,axiom,
( setukpairinjR
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xy = Xu ) ) ) ) ).
thf('0',plain,
( setukpairinjR
= ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
( ( ( kpair @ X4 @ X6 )
= ( kpair @ X8 @ X10 ) )
=> ( X6 = X10 ) ) ) ),
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(cartprodpairmemER,conjecture,
( cartprodmempair1
=> ( setukpairinjR
=> ! [A: $i,B: $i,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
=> ( in @ Xy @ B ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ( in @ X10 @ X4 )
& ? [X12: $i] :
( ( in @ X12 @ X6 )
& ( X8
= ( kpair @ X10 @ X12 ) ) ) ) )
=> ( ! [X14: $i,X16: $i,X18: $i,X20: $i] :
( ( ( kpair @ X14 @ X16 )
= ( kpair @ X18 @ X20 ) )
=> ( X16 = X20 ) )
=> ! [X22: $i,X24: $i,X26: $i,X28: $i] :
( ( in @ ( kpair @ X26 @ X28 ) @ ( cartprod @ X22 @ X24 ) )
=> ( in @ X28 @ X24 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( cartprod @ X4 @ X6 ) )
=> ? [X10: $i] :
( ( in @ X10 @ X4 )
& ? [X12: $i] :
( ( in @ X12 @ X6 )
& ( X8
= ( kpair @ X10 @ X12 ) ) ) ) )
=> ( ! [X14: $i,X16: $i,X18: $i,X20: $i] :
( ( ( kpair @ X14 @ X16 )
= ( kpair @ X18 @ X20 ) )
=> ( X16 = X20 ) )
=> ! [X22: $i,X24: $i,X26: $i,X28: $i] :
( ( in @ ( kpair @ X26 @ X28 ) @ ( cartprod @ X22 @ X24 ) )
=> ( in @ X28 @ X24 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( cartprod @ Y0 @ Y1 ) )
=> ( ??
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y1 )
& ( Y2
= ( kpair @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y1 = Y3 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y2 @ Y3 ) @ ( cartprod @ Y0 @ Y1 ) )
=> ( in @ Y3 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y1 = Y3 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y2 @ Y3 ) @ ( cartprod @ Y0 @ Y1 ) )
=> ( in @ Y3 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y2 @ Y3 ) @ ( cartprod @ Y0 @ Y1 ) )
=> ( in @ Y3 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ ( kpair @ Y1 @ Y2 ) @ ( cartprod @ '#sk1' @ Y0 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ ( kpair @ Y0 @ Y1 ) @ ( cartprod @ '#sk1' @ '#sk2' ) )
=> ( in @ Y1 @ '#sk2' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ ( kpair @ '#sk3' @ Y0 ) @ ( cartprod @ '#sk1' @ '#sk2' ) )
=> ( in @ Y0 @ '#sk2' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
~ ( ( in @ ( kpair @ '#sk3' @ '#sk5' ) @ ( cartprod @ '#sk1' @ '#sk2' ) )
=> ( in @ '#sk5' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl21,plain,
in @ ( kpair @ '#sk3' @ '#sk5' ) @ ( cartprod @ '#sk1' @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( cartprod @ Y0 @ Y1 ) )
=> ( ??
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
& ( ??
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y1 )
& ( Y2
= ( kpair @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( cartprod @ X2 @ Y0 ) )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ X2 )
& ( ??
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
& ( Y1
= ( kpair @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( cartprod @ X2 @ X4 ) )
=> ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
& ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ X4 )
& ( Y0
= ( kpair @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ ( cartprod @ X2 @ X4 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
& ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ X4 )
& ( X6
= ( kpair @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( cartprod @ X2 @ X4 ) )
| ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
& ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ X4 )
& ( X6
= ( kpair @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X2 )
& ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
& ( X6
= ( kpair @ ( '#sk4' @ X2 @ X4 @ X6 ) @ Y0 ) ) ) ) )
| ~ ( in @ X6 @ ( cartprod @ X2 @ X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ??
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
& ( X6
= ( kpair @ ( '#sk4' @ X2 @ X4 @ X6 ) @ Y0 ) ) ) )
| ~ ( in @ X6 @ ( cartprod @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( in @ ( '#sk6' @ X2 @ X4 @ X6 ) @ X4 )
& ( X6
= ( kpair @ ( '#sk4' @ X2 @ X4 @ X6 ) @ ( '#sk6' @ X2 @ X4 @ X6 ) ) ) )
| ~ ( in @ X6 @ ( cartprod @ X2 @ X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ ( '#sk6' @ X2 @ X4 @ X6 ) @ X4 )
| ~ ( in @ X6 @ ( cartprod @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl32,plain,
in @ ( '#sk6' @ '#sk1' @ '#sk2' @ ( kpair @ '#sk3' @ '#sk5' ) ) @ '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl25]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X6
= ( kpair @ ( '#sk4' @ X2 @ X4 @ X6 ) @ ( '#sk6' @ X2 @ X4 @ X6 ) ) )
| ~ ( in @ X6 @ ( cartprod @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X6
= ( kpair @ ( '#sk4' @ X2 @ X4 @ X6 ) @ ( '#sk6' @ X2 @ X4 @ X6 ) ) )
| ~ ( in @ X6 @ ( cartprod @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( kpair @ Y0 @ Y1 )
= ( kpair @ Y2 @ Y3 ) )
=> ( Y1 = Y3 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( kpair @ X2 @ Y0 )
= ( kpair @ Y1 @ Y2 ) )
=> ( Y0 = Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ Y0 @ Y1 ) )
=> ( X4 = Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ X6 @ Y0 ) )
=> ( X4 = Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
= ( kpair @ X6 @ X8 ) )
=> ( X4 = X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
!= ( kpair @ X6 @ X8 ) )
| ( X4 = X8 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( ( ( kpair @ X2 @ X4 )
!= ( kpair @ X6 @ X8 ) )
| ( X4 = X8 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( kpair @ X4 @ X3 )
!= X0 )
| ~ ( in @ X0 @ ( cartprod @ X2 @ X1 ) )
| ( X3
= ( '#sk6' @ X2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl24]) ).
thf(zip_derived_cl38,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3
= ( '#sk6' @ X2 @ X1 @ ( kpair @ X4 @ X3 ) ) )
| ~ ( in @ ( kpair @ X4 @ X3 ) @ ( cartprod @ X2 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl21_001,plain,
in @ ( kpair @ '#sk3' @ '#sk5' ) @ ( cartprod @ '#sk1' @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl42,plain,
( '#sk5'
= ( '#sk6' @ '#sk1' @ '#sk2' @ ( kpair @ '#sk3' @ '#sk5' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl21]) ).
thf(zip_derived_cl22,plain,
~ ( in @ '#sk5' @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl48,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl42,zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU660^2 : 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.aBDTgOomdY true
% 0.13/0.34 % Computer : n022.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 14:59:41 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.64 % Total configuration time : 828
% 0.21/0.64 % Estimated wc time : 1656
% 0.21/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79 % Solved by lams/35_full_unif4.sh.
% 0.21/0.79 % done 11 iterations in 0.019s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.79
% 0.21/0.79
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.79 % Terminating...
% 0.84/0.86 % Runner terminated.
% 1.79/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------