TSTP Solution File: ITP028^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP028^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Maf2oF1Dx2 true
% Computer : n024.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 05:21:43 EDT 2023
% Result : Theorem 9.64s 1.83s
% Output : Refutation 9.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 27
% Syntax : Number of formulae : 72 ( 30 unt; 21 typ; 0 def)
% Number of atoms : 114 ( 28 equ; 4 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 322 ( 28 ~; 11 |; 9 &; 235 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 15 usr; 10 con; 0-2 aty)
% ( 11 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 58 ( 17 ^; 38 !; 3 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(produc715398134_a_a_e_type,type,
produc715398134_a_a_e: $tType ).
thf(set_a_type,type,
set_a: $tType ).
thf(set_set_a_type,type,
set_set_a: $tType ).
thf(set_Pr204296108_a_a_e_type,type,
set_Pr204296108_a_a_e: $tType ).
thf(e_type,type,
e: $tType ).
thf(image_64240033_set_a_type,type,
image_64240033_set_a: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > set_set_a ).
thf(produc1134456688_a_a_e_type,type,
produc1134456688_a_a_e: set_a > ( a > e ) > produc715398134_a_a_e ).
thf('#sk5_type',type,
'#sk5': produc715398134_a_a_e > set_a ).
thf(c_type,type,
c: set_Pr204296108_a_a_e ).
thf(thesis_type,type,
thesis: $o ).
thf(a2_type,type,
a2: set_a ).
thf(a3_type,type,
a3: set_a ).
thf(produc1040928388_a_a_e_type,type,
produc1040928388_a_a_e: produc715398134_a_a_e > set_a ).
thf(member_set_a_type,type,
member_set_a: set_a > set_set_a > $o ).
thf('#sk7_type',type,
'#sk7': produc715398134_a_a_e > set_a ).
thf('#sk8_type',type,
'#sk8': produc715398134_a_a_e > a > e ).
thf(a1_type,type,
a1: set_a ).
thf(a_type,type,
a: $tType ).
thf(ord_less_eq_set_a_type,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf('#sk1_type',type,
'#sk1': set_a ).
thf('#sk6_type',type,
'#sk6': produc715398134_a_a_e > a > e ).
thf(fact_216_old_Oprod_Oexhaust,axiom,
! [Y3: produc715398134_a_a_e] :
~ ! [A6: set_a,B6: a > e] :
( Y3
!= ( produc1134456688_a_a_e @ A6 @ B6 ) ) ).
thf(zip_derived_cl98,plain,
( !!
@ ^ [Y0: produc715398134_a_a_e] :
( (~)
@ ( !!
@ ^ [Y1: set_a] :
( !!
@ ^ [Y2: a > e] :
( Y0
!= ( produc1134456688_a_a_e @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_216_old_Oprod_Oexhaust]) ).
thf(zip_derived_cl194,plain,
! [X2: produc715398134_a_a_e] :
~ ( !!
@ ^ [Y0: set_a] :
( !!
@ ^ [Y1: a > e] :
( X2
!= ( produc1134456688_a_a_e @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl195,plain,
! [X2: produc715398134_a_a_e] :
~ ( !!
@ ^ [Y0: a > e] :
( X2
!= ( produc1134456688_a_a_e @ ( '#sk7' @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl196,plain,
! [X2: produc715398134_a_a_e] :
( X2
!= ( produc1134456688_a_a_e @ ( '#sk7' @ X2 ) @ ( '#sk8' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl195]) ).
thf(zip_derived_cl197,plain,
! [X2: produc715398134_a_a_e] :
( X2
= ( produc1134456688_a_a_e @ ( '#sk7' @ X2 ) @ ( '#sk8' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl196]) ).
thf(fact_83_PairE__lemma,axiom,
! [P: produc715398134_a_a_e] :
? [X2: set_a,Y: a > e] :
( P
= ( produc1134456688_a_a_e @ X2 @ Y ) ) ).
thf(zip_derived_cl22,plain,
( !!
@ ^ [Y0: produc715398134_a_a_e] :
( ??
@ ^ [Y1: set_a] :
( ??
@ ^ [Y2: a > e] :
( Y0
= ( produc1134456688_a_a_e @ Y1 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_83_PairE__lemma]) ).
thf(zip_derived_cl190,plain,
! [X2: produc715398134_a_a_e] :
( ??
@ ^ [Y0: set_a] :
( ??
@ ^ [Y1: a > e] :
( X2
= ( produc1134456688_a_a_e @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl191,plain,
! [X2: produc715398134_a_a_e] :
( ??
@ ^ [Y0: a > e] :
( X2
= ( produc1134456688_a_a_e @ ( '#sk5' @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl192,plain,
! [X2: produc715398134_a_a_e] :
( X2
= ( produc1134456688_a_a_e @ ( '#sk5' @ X2 ) @ ( '#sk6' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl193,plain,
! [X2: produc715398134_a_a_e] :
( X2
= ( produc1134456688_a_a_e @ ( '#sk5' @ X2 ) @ ( '#sk6' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl192]) ).
thf(fact_208_fst__conv,axiom,
! [X1: set_a,X22: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X1 @ X22 ) )
= X1 ) ).
thf(zip_derived_cl93,plain,
( !!
@ ^ [Y0: set_a] :
( !!
@ ^ [Y1: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ Y0 @ Y1 ) )
= Y0 ) ) ),
inference(cnf,[status(esa)],[fact_208_fst__conv]) ).
thf(zip_derived_cl187,plain,
! [X2: set_a] :
( !!
@ ^ [Y0: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X2 @ Y0 ) )
= X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl188,plain,
! [X2: set_a,X4: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X2 @ X4 ) )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl189,plain,
! [X2: set_a,X4: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl910,plain,
! [X0: produc715398134_a_a_e] :
( ( produc1040928388_a_a_e @ X0 )
= ( '#sk5' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl189]) ).
thf(zip_derived_cl189_001,plain,
! [X2: set_a,X4: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl912,plain,
! [X0: a > e,X1: set_a] :
( ( '#sk5' @ ( produc1134456688_a_a_e @ X1 @ X0 ) )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl910,zip_derived_cl189]) ).
thf(zip_derived_cl940,plain,
! [X0: produc715398134_a_a_e] :
( ( '#sk5' @ X0 )
= ( '#sk7' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl912]) ).
thf(zip_derived_cl947,plain,
'#sk5' = '#sk7',
inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl940]) ).
thf(fact_1__092_060open_062_092_060exists_062a_092_060in_062fst_A_096_AC_O_Aa1_A_092_060subseteq_062_Aa_A_092_060and_062_Aa2_A_092_060subseteq_062_Aa_A_092_060and_062_Aa3_A_092_060subseteq_062_Aa_092_060close_062,axiom,
? [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ X2 )
& ( ord_less_eq_set_a @ a2 @ X2 )
& ( ord_less_eq_set_a @ a3 @ X2 ) ) ).
thf(zip_derived_cl1,plain,
( ??
@ ^ [Y0: set_a] :
( ( member_set_a @ Y0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ Y0 )
& ( ord_less_eq_set_a @ a2 @ Y0 )
& ( ord_less_eq_set_a @ a3 @ Y0 ) ) ),
inference(cnf,[status(esa)],[fact_1__092_060open_062_092_060exists_062a_092_060in_062fst_A_096_AC_O_Aa1_A_092_060subseteq_062_Aa_A_092_060and_062_Aa2_A_092_060subseteq_062_Aa_A_092_060and_062_Aa3_A_092_060subseteq_062_Aa_092_060close_062]) ).
thf(zip_derived_cl144,plain,
( ( member_set_a @ '#sk1' @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ '#sk1' )
& ( ord_less_eq_set_a @ a2 @ '#sk1' )
& ( ord_less_eq_set_a @ a3 @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl145,plain,
member_set_a @ '#sk1' @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl910_002,plain,
! [X0: produc715398134_a_a_e] :
( ( produc1040928388_a_a_e @ X0 )
= ( '#sk5' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl189]) ).
thf(zip_derived_cl913,plain,
produc1040928388_a_a_e = '#sk5',
inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl910]) ).
thf(zip_derived_cl918,plain,
member_set_a @ '#sk1' @ ( image_64240033_set_a @ '#sk5' @ c ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl913]) ).
thf(zip_derived_cl989,plain,
member_set_a @ '#sk1' @ ( image_64240033_set_a @ '#sk7' @ c ),
inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl918]) ).
thf(conj_0,axiom,
! [A7: set_a] :
( ( member_set_a @ A7 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ A7 )
=> ( ( ord_less_eq_set_a @ a2 @ A7 )
=> ( ( ord_less_eq_set_a @ a3 @ A7 )
=> thesis ) ) ) ) ).
thf(zip_derived_cl124,plain,
( !!
@ ^ [Y0: set_a] :
( ( member_set_a @ Y0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ Y0 )
=> ( ( ord_less_eq_set_a @ a2 @ Y0 )
=> ( ( ord_less_eq_set_a @ a3 @ Y0 )
=> thesis ) ) ) ) ),
inference(cnf,[status(esa)],[conj_0]) ).
thf(zip_derived_cl510,plain,
! [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X2 )
=> ( ( ord_less_eq_set_a @ a2 @ X2 )
=> ( ( ord_less_eq_set_a @ a3 @ X2 )
=> thesis ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl124]) ).
thf(conj_1,conjecture,
thesis ).
thf(zf_stmt_0,negated_conjecture,
~ thesis,
inference('cnf.neg',[status(esa)],[conj_1]) ).
thf(zip_derived_cl125,plain,
~ thesis,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl511,plain,
! [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X2 )
=> ( ( ord_less_eq_set_a @ a2 @ X2 )
=> ( ( ord_less_eq_set_a @ a3 @ X2 )
=> $false ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl510,zip_derived_cl125]) ).
thf(zip_derived_cl512,plain,
! [X2: set_a] :
( ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X2 )
=> ( ( ord_less_eq_set_a @ a2 @ X2 )
=> ( (~) @ ( ord_less_eq_set_a @ a3 @ X2 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl511]) ).
thf(zip_derived_cl513,plain,
! [X2: set_a] :
( ~ ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ( ( ord_less_eq_set_a @ a1 @ X2 )
=> ( ( ord_less_eq_set_a @ a2 @ X2 )
=> ( (~) @ ( ord_less_eq_set_a @ a3 @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl512]) ).
thf(zip_derived_cl514,plain,
! [X2: set_a] :
( ~ ( ord_less_eq_set_a @ a1 @ X2 )
| ( ( ord_less_eq_set_a @ a2 @ X2 )
=> ( (~) @ ( ord_less_eq_set_a @ a3 @ X2 ) ) )
| ~ ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl513]) ).
thf(zip_derived_cl515,plain,
! [X2: set_a] :
( ~ ( ord_less_eq_set_a @ a2 @ X2 )
| ~ ( ord_less_eq_set_a @ a3 @ X2 )
| ~ ( member_set_a @ X2 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl514]) ).
thf(zip_derived_cl197_003,plain,
! [X2: produc715398134_a_a_e] :
( X2
= ( produc1134456688_a_a_e @ ( '#sk7' @ X2 ) @ ( '#sk8' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl189_004,plain,
! [X2: set_a,X4: a > e] :
( ( produc1040928388_a_a_e @ ( produc1134456688_a_a_e @ X2 @ X4 ) )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl941,plain,
! [X0: produc715398134_a_a_e] :
( ( produc1040928388_a_a_e @ X0 )
= ( '#sk7' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl189]) ).
thf(zip_derived_cl957,plain,
produc1040928388_a_a_e = '#sk7',
inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl941]) ).
thf(zip_derived_cl2546,plain,
! [X2: set_a] :
( ~ ( ord_less_eq_set_a @ a2 @ X2 )
| ~ ( ord_less_eq_set_a @ a3 @ X2 )
| ~ ( member_set_a @ X2 @ ( image_64240033_set_a @ '#sk7' @ c ) )
| ~ ( ord_less_eq_set_a @ a1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl515,zip_derived_cl957]) ).
thf(zip_derived_cl2553,plain,
( ~ ( ord_less_eq_set_a @ a1 @ '#sk1' )
| ~ ( ord_less_eq_set_a @ a3 @ '#sk1' )
| ~ ( ord_less_eq_set_a @ a2 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl989,zip_derived_cl2546]) ).
thf(zip_derived_cl146,plain,
ord_less_eq_set_a @ a1 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl148,plain,
ord_less_eq_set_a @ a3 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl147,plain,
ord_less_eq_set_a @ a2 @ '#sk1',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl2566,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2553,zip_derived_cl146,zip_derived_cl148,zip_derived_cl147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP028^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Maf2oF1Dx2 true
% 0.13/0.35 % Computer : n024.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 : Sun Aug 27 12:57:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.36 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.83/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.83/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.83/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.28/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.28/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.28/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.28/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.28/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.83 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.43/0.86 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 9.64/1.83 % Solved by lams/30_sp5.sh.
% 9.64/1.83 % done 297 iterations in 1.026s
% 9.64/1.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.64/1.83 % SZS output start Refutation
% See solution above
% 9.64/1.83
% 9.64/1.83
% 9.64/1.83 % Terminating...
% 9.64/1.90 % Runner terminated.
% 9.64/1.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------