TSTP Solution File: ITP004^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP004^5 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jN7tWCWzXR true
% Computer : n018.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 05:20:46 EDT 2023
% Result : Theorem 154.32s 20.58s
% Output : Refutation 154.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 44 ( 5 unt; 12 typ; 0 def)
% Number of atoms : 98 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 494 ( 15 ~; 10 |; 0 &; 413 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 11 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-2 aty)
% ( 25 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 75 ( 25 ^; 50 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(del_type,type,
del: $tType ).
thf(mem_type,type,
mem: $i > del > $o ).
thf(c_2Epred__set_2EDELETE_type,type,
c_2Epred__set_2EDELETE: del > $i ).
thf('#sk20_type',type,
'#sk20': del ).
thf(p_type,type,
p: $i > $o ).
thf(ap_type,type,
ap: $i > $i > $i ).
thf(arr_type,type,
arr: del > del > del ).
thf(bool_type,type,
bool: del ).
thf(c_2Epred__set_2EREST_type,type,
c_2Epred__set_2EREST: del > $i ).
thf('#sk21_type',type,
'#sk21': $i ).
thf(c_2Epred__set_2ESUBSET_type,type,
c_2Epred__set_2ESUBSET: del > $i ).
thf(c_2Epred__set_2ECHOICE_type,type,
c_2Epred__set_2ECHOICE: del > $i ).
thf(mem_c_2Epred__set_2ECHOICE,axiom,
! [A_27a: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ ( arr @ ( arr @ A_27a @ bool ) @ A_27a ) ) ).
thf(zip_derived_cl997,plain,
( !!
@ ^ [Y0: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ Y0 ) @ ( arr @ ( arr @ Y0 @ bool ) @ Y0 ) ) ),
inference(cnf,[status(esa)],[mem_c_2Epred__set_2ECHOICE]) ).
thf(zip_derived_cl1283,plain,
! [X2: del] : ( mem @ ( c_2Epred__set_2ECHOICE @ X2 ) @ ( arr @ ( arr @ X2 @ bool ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl997]) ).
thf(conj_thm_2Epred__set_2EREST__SUBSET,conjecture,
! [A_27a: del,V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A_27a: del,V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s ) ) @ V0s ) ) ),
inference('cnf.neg',[status(esa)],[conj_thm_2Epred__set_2EREST__SUBSET]) ).
thf(zip_derived_cl1166,plain,
~ ( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ Y0 ) @ ( ap @ ( c_2Epred__set_2EREST @ Y0 ) @ Y1 ) ) @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1300,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ ( arr @ '#sk20' @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ '#sk20' ) @ ( ap @ ( c_2Epred__set_2EREST @ '#sk20' ) @ Y0 ) ) @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1166]) ).
thf(zip_derived_cl1301,plain,
~ ( ( mem @ '#sk21' @ ( arr @ '#sk20' @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ '#sk20' ) @ ( ap @ ( c_2Epred__set_2EREST @ '#sk20' ) @ '#sk21' ) ) @ '#sk21' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1300]) ).
thf(zip_derived_cl1303,plain,
~ ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ '#sk20' ) @ ( ap @ ( c_2Epred__set_2EREST @ '#sk20' ) @ '#sk21' ) ) @ '#sk21' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1301]) ).
thf(zip_derived_cl1302,plain,
mem @ '#sk21' @ ( arr @ '#sk20' @ bool ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1301]) ).
thf(ap_tp,axiom,
! [A: del,B: del,F: $i] :
( ( mem @ F @ ( arr @ A @ B ) )
=> ! [X: $i] :
( ( mem @ X @ A )
=> ( mem @ ( ap @ F @ X ) @ B ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: del] :
( !!
@ ^ [Y2: $i] :
( ( mem @ Y2 @ ( arr @ Y0 @ Y1 ) )
=> ( !!
@ ^ [Y3: $i] :
( ( mem @ Y3 @ Y0 )
=> ( mem @ ( ap @ Y2 @ Y3 ) @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[ap_tp]) ).
thf(zip_derived_cl1171,plain,
! [X2: del] :
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ ( arr @ X2 @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( mem @ Y2 @ X2 )
=> ( mem @ ( ap @ Y1 @ Y2 ) @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl1172,plain,
! [X2: del,X4: del] :
( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ ( arr @ X2 @ X4 ) )
=> ( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ X2 )
=> ( mem @ ( ap @ Y0 @ Y1 ) @ X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1171]) ).
thf(zip_derived_cl1173,plain,
! [X2: del,X4: del,X6: $i] :
( ( mem @ X6 @ ( arr @ X2 @ X4 ) )
=> ( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ X2 )
=> ( mem @ ( ap @ X6 @ Y0 ) @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1172]) ).
thf(zip_derived_cl1174,plain,
! [X2: del,X4: del,X6: $i] :
( ~ ( mem @ X6 @ ( arr @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ X2 )
=> ( mem @ ( ap @ X6 @ Y0 ) @ X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1173]) ).
thf(zip_derived_cl1175,plain,
! [X2: del,X4: del,X6: $i,X8: $i] :
( ( ( mem @ X8 @ X2 )
=> ( mem @ ( ap @ X6 @ X8 ) @ X4 ) )
| ~ ( mem @ X6 @ ( arr @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1174]) ).
thf(zip_derived_cl1176,plain,
! [X2: del,X4: del,X6: $i,X8: $i] :
( ~ ( mem @ X8 @ X2 )
| ( mem @ ( ap @ X6 @ X8 ) @ X4 )
| ~ ( mem @ X6 @ ( arr @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1175]) ).
thf(conj_thm_2Epred__set_2EDELETE__SUBSET,axiom,
! [A_27a: del,V0x: $i] :
( ( mem @ V0x @ A_27a )
=> ! [V1s: $i] :
( ( mem @ V1s @ ( arr @ A_27a @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ A_27a ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V1s ) @ V0x ) ) @ V1s ) ) ) ) ).
thf(zip_derived_cl1149,plain,
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( mem @ Y2 @ ( arr @ Y0 @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ Y0 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ Y0 ) @ Y2 ) @ Y1 ) ) @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[conj_thm_2Epred__set_2EDELETE__SUBSET]) ).
thf(zip_derived_cl2411,plain,
! [X2: del] :
( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ ( arr @ X2 @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ X2 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X2 ) @ Y1 ) @ Y0 ) ) @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1149]) ).
thf(zip_derived_cl2412,plain,
! [X2: del,X4: $i] :
( ( mem @ X4 @ X2 )
=> ( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ ( arr @ X2 @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ X2 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X2 ) @ Y0 ) @ X4 ) ) @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2411]) ).
thf(zip_derived_cl2413,plain,
! [X2: del,X4: $i] :
( ~ ( mem @ X4 @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ ( arr @ X2 @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ X2 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X2 ) @ Y0 ) @ X4 ) ) @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2412]) ).
thf(zip_derived_cl2414,plain,
! [X2: del,X4: $i,X6: $i] :
( ( ( mem @ X6 @ ( arr @ X2 @ bool ) )
=> ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ X2 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X2 ) @ X6 ) @ X4 ) ) @ X6 ) ) )
| ~ ( mem @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2413]) ).
thf(zip_derived_cl2415,plain,
! [X2: del,X4: $i,X6: $i] :
( ~ ( mem @ X6 @ ( arr @ X2 @ bool ) )
| ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ X2 ) @ ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X2 ) @ X6 ) @ X4 ) ) @ X6 ) )
| ~ ( mem @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2414]) ).
thf(ax_thm_2Epred__set_2EREST__DEF,axiom,
! [A_27a: del,V0s: $i] :
( ( mem @ V0s @ ( arr @ A_27a @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ A_27a ) @ V0s )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ A_27a ) @ V0s ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ A_27a ) @ V0s ) ) ) ) ).
thf(zip_derived_cl1161,plain,
( !!
@ ^ [Y0: del] :
( !!
@ ^ [Y1: $i] :
( ( mem @ Y1 @ ( arr @ Y0 @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ Y0 ) @ Y1 )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ Y0 ) @ Y1 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ Y0 ) @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[ax_thm_2Epred__set_2EREST__DEF]) ).
thf(zip_derived_cl2089,plain,
! [X2: del] :
( !!
@ ^ [Y0: $i] :
( ( mem @ Y0 @ ( arr @ X2 @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ X2 ) @ Y0 )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X2 ) @ Y0 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ X2 ) @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1161]) ).
thf(zip_derived_cl2090,plain,
! [X2: del,X4: $i] :
( ( mem @ X4 @ ( arr @ X2 @ bool ) )
=> ( ( ap @ ( c_2Epred__set_2EREST @ X2 ) @ X4 )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X2 ) @ X4 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ X2 ) @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2089]) ).
thf(zip_derived_cl2091,plain,
! [X2: del,X4: $i] :
( ~ ( mem @ X4 @ ( arr @ X2 @ bool ) )
| ( ( ap @ ( c_2Epred__set_2EREST @ X2 ) @ X4 )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X2 ) @ X4 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ X2 ) @ X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2090]) ).
thf(zip_derived_cl2092,plain,
! [X2: del,X4: $i] :
( ~ ( mem @ X4 @ ( arr @ X2 @ bool ) )
| ( ( ap @ ( c_2Epred__set_2EREST @ X2 ) @ X4 )
= ( ap @ ( ap @ ( c_2Epred__set_2EDELETE @ X2 ) @ X4 ) @ ( ap @ ( c_2Epred__set_2ECHOICE @ X2 ) @ X4 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl2091]) ).
thf(zip_derived_cl20337,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl1283,zip_derived_cl1303,zip_derived_cl1302,zip_derived_cl1176,zip_derived_cl2415,zip_derived_cl2092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ITP004^5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jN7tWCWzXR true
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 12:20:32 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in HO mode
% 0.23/0.70 % Total configuration time : 828
% 0.23/0.70 % Estimated wc time : 1656
% 0.23/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.41/0.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.41/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 2.02/1.05 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 154.32/20.58 % Solved by lams/30_b.l.sh.
% 154.32/20.58 % done 1042 iterations in 19.475s
% 154.32/20.58 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 154.32/20.58 % SZS output start Refutation
% See solution above
% 154.32/20.58
% 154.32/20.58
% 154.32/20.58 % Terminating...
% 154.32/20.68 % Runner terminated.
% 154.32/20.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------