TSTP Solution File: SWW474^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW474^3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0HcgxUDroT true
% Computer : n002.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 : Fri Sep 1 01:42:14 EDT 2023
% Result : Theorem 39.32s 5.75s
% Output : Refutation 39.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 32
% Syntax : Number of formulae : 54 ( 9 unt; 20 typ; 0 def)
% Number of atoms : 114 ( 10 equ; 1 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 190 ( 8 ~; 4 |; 0 &; 140 @)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 16 usr; 7 con; 0-3 aty)
% ( 15 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 46 ( 20 ^; 26 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(option_com_type,type,
option_com: $tType ).
thf(pname_type,type,
pname: $tType ).
thf(com_type,type,
com: $tType ).
thf(hoare_1708887482_state_type,type,
hoare_1708887482_state: $tType ).
thf(hoare_Mirabelle_MGT_type,type,
hoare_Mirabelle_MGT: com > hoare_1708887482_state ).
thf(body_type,type,
body: pname > option_com ).
thf(pn_type,type,
pn: pname ).
thf(some_com_type,type,
some_com: com > option_com ).
thf(y_type,type,
y: com ).
thf(wt_type,type,
wt: com > $o ).
thf(member451959335_state_type,type,
member451959335_state: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > $o ).
thf(collec1568722789_state_type,type,
collec1568722789_state: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(insert528405184_state_type,type,
insert528405184_state: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
thf(wT_bodies_type,type,
wT_bodies: $o ).
thf(bot_bo19817387tate_o_type,type,
bot_bo19817387tate_o: hoare_1708887482_state > $o ).
thf(hoare_90032982_state_type,type,
hoare_90032982_state: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
thf(dom_pname_com_type,type,
dom_pname_com: ( pname > option_com ) > pname > $o ).
thf(image_1116629049_state_type,type,
image_1116629049_state: ( pname > hoare_1708887482_state ) > ( pname > $o ) > hoare_1708887482_state > $o ).
thf(hoare_1160767572gleton_type,type,
hoare_1160767572gleton: $o ).
thf(body_1_type,type,
body_1: pname > com ).
thf(conj_5,axiom,
( ( body @ pn )
= ( some_com @ y ) ) ).
thf(zip_derived_cl1222,plain,
( ( body @ pn )
= ( some_com @ y ) ),
inference(cnf,[status(esa)],[conj_5]) ).
thf(fact_297_WT__bodiesD,axiom,
! [Pn_1: pname,B_82: com] :
( wT_bodies
=> ( ( ( body @ Pn_1 )
= ( some_com @ B_82 ) )
=> ( wt @ B_82 ) ) ) ).
thf(zip_derived_cl297,plain,
( !!
@ ^ [Y0: pname] :
( !!
@ ^ [Y1: com] :
( wT_bodies
=> ( ( ( body @ Y0 )
= ( some_com @ Y1 ) )
=> ( wt @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[fact_297_WT__bodiesD]) ).
thf(fact_0_empty,axiom,
! [G_7: hoare_1708887482_state > $o] : ( hoare_90032982_state @ G_7 @ bot_bo19817387tate_o ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: hoare_1708887482_state > $o] : ( hoare_90032982_state @ Y0 @ bot_bo19817387tate_o ) ),
inference(cnf,[status(esa)],[fact_0_empty]) ).
thf(zip_derived_cl1227,plain,
! [X2: hoare_1708887482_state > $o] : ( hoare_90032982_state @ X2 @ bot_bo19817387tate_o ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(fact_4_cut,axiom,
! [G_35: hoare_1708887482_state > $o,G_34: hoare_1708887482_state > $o,Ts_3: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ G_34 @ Ts_3 )
=> ( ( hoare_90032982_state @ G_35 @ G_34 )
=> ( hoare_90032982_state @ G_35 @ Ts_3 ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: hoare_1708887482_state > $o] :
( !!
@ ^ [Y1: hoare_1708887482_state > $o] :
( !!
@ ^ [Y2: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ Y1 @ Y2 )
=> ( ( hoare_90032982_state @ Y0 @ Y1 )
=> ( hoare_90032982_state @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_4_cut]) ).
thf(zip_derived_cl1275,plain,
! [X2: hoare_1708887482_state > $o] :
( !!
@ ^ [Y0: hoare_1708887482_state > $o] :
( !!
@ ^ [Y1: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ Y0 @ Y1 )
=> ( ( hoare_90032982_state @ X2 @ Y0 )
=> ( hoare_90032982_state @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl1276,plain,
! [X2: hoare_1708887482_state > $o,X4: hoare_1708887482_state > $o] :
( !!
@ ^ [Y0: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ X4 @ Y0 )
=> ( ( hoare_90032982_state @ X2 @ X4 )
=> ( hoare_90032982_state @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1275]) ).
thf(zip_derived_cl1277,plain,
! [X2: hoare_1708887482_state > $o,X4: hoare_1708887482_state > $o,X6: hoare_1708887482_state > $o] :
( ( hoare_90032982_state @ X4 @ X6 )
=> ( ( hoare_90032982_state @ X2 @ X4 )
=> ( hoare_90032982_state @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1276]) ).
thf(zip_derived_cl1278,plain,
! [X2: hoare_1708887482_state > $o,X4: hoare_1708887482_state > $o,X6: hoare_1708887482_state > $o] :
( ~ ( hoare_90032982_state @ X4 @ X6 )
| ( ( hoare_90032982_state @ X2 @ X4 )
=> ( hoare_90032982_state @ X2 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1277]) ).
thf(zip_derived_cl1279,plain,
! [X2: hoare_1708887482_state > $o,X4: hoare_1708887482_state > $o,X6: hoare_1708887482_state > $o] :
( ~ ( hoare_90032982_state @ X2 @ X4 )
| ( hoare_90032982_state @ X2 @ X6 )
| ~ ( hoare_90032982_state @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1278]) ).
thf(zip_derived_cl1280,plain,
! [X0: hoare_1708887482_state > $o,X1: hoare_1708887482_state > $o] :
( ~ ( hoare_90032982_state @ bot_bo19817387tate_o @ X1 )
| ( hoare_90032982_state @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1227,zip_derived_cl1279]) ).
thf(conj_0,axiom,
hoare_1160767572gleton ).
thf(zip_derived_cl1217,plain,
hoare_1160767572gleton,
inference(cnf,[status(esa)],[conj_0]) ).
thf(conj_1,axiom,
wT_bodies ).
thf(zip_derived_cl1218,plain,
wT_bodies,
inference(cnf,[status(esa)],[conj_1]) ).
thf(fact_66_MGF,axiom,
! [C_34: com] :
( hoare_1160767572gleton
=> ( wT_bodies
=> ( ( wt @ C_34 )
=> ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ C_34 ) @ bot_bo19817387tate_o ) ) ) ) ) ).
thf(zip_derived_cl66,plain,
( !!
@ ^ [Y0: com] :
( hoare_1160767572gleton
=> ( wT_bodies
=> ( ( wt @ Y0 )
=> ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ Y0 ) @ bot_bo19817387tate_o ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_66_MGF]) ).
thf(fact_542_bot__empty__eq,axiom,
! [X_3: hoare_1708887482_state] :
( ( bot_bo19817387tate_o @ X_3 )
<=> ( member451959335_state @ X_3 @ bot_bo19817387tate_o ) ) ).
thf(zip_derived_cl542,plain,
( !!
@ ^ [Y0: hoare_1708887482_state] :
( ( bot_bo19817387tate_o @ Y0 )
<=> ( member451959335_state @ Y0 @ bot_bo19817387tate_o ) ) ),
inference(cnf,[status(esa)],[fact_542_bot__empty__eq]) ).
thf(fact_95_empty__iff,axiom,
! [C_65: hoare_1708887482_state] :
~ ( member451959335_state @ C_65 @ bot_bo19817387tate_o ) ).
thf(zip_derived_cl95,plain,
( !!
@ ^ [Y0: hoare_1708887482_state] : ( (~) @ ( member451959335_state @ Y0 @ bot_bo19817387tate_o ) ) ),
inference(cnf,[status(esa)],[fact_95_empty__iff]) ).
thf(zip_derived_cl0_001,plain,
( !!
@ ^ [Y0: hoare_1708887482_state > $o] : ( hoare_90032982_state @ Y0 @ bot_bo19817387tate_o ) ),
inference(cnf,[status(esa)],[fact_0_empty]) ).
thf(fact_240_Collect__def,axiom,
! [P_40: hoare_1708887482_state > $o] :
( ( collec1568722789_state @ P_40 )
= P_40 ) ).
thf(zip_derived_cl240,plain,
( !!
@ ^ [Y0: hoare_1708887482_state > $o] :
( ( collec1568722789_state @ Y0 )
= Y0 ) ),
inference(cnf,[status(esa)],[fact_240_Collect__def]) ).
thf(conj_7,conjecture,
( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
inference('cnf.neg',[status(esa)],[conj_7]) ).
thf(zip_derived_cl1224,plain,
~ ( hoare_90032982_state
@ ( image_1116629049_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_290_singleton__conv,axiom,
! [A_203: hoare_1708887482_state] :
( ( collec1568722789_state
@ ^ [X_3: hoare_1708887482_state] : ( X_3 = A_203 ) )
= ( insert528405184_state @ A_203 @ bot_bo19817387tate_o ) ) ).
thf(zip_derived_cl290,plain,
( !!
@ ^ [Y0: hoare_1708887482_state] :
( ( collec1568722789_state
@ ^ [Y1: hoare_1708887482_state] : ( Y1 = Y0 ) )
= ( insert528405184_state @ Y0 @ bot_bo19817387tate_o ) ) ),
inference(cnf,[status(esa)],[fact_290_singleton__conv]) ).
thf(zip_derived_cl4100,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl1222,zip_derived_cl297,zip_derived_cl1280,zip_derived_cl1217,zip_derived_cl1218,zip_derived_cl66,zip_derived_cl542,zip_derived_cl95,zip_derived_cl0,zip_derived_cl240,zip_derived_cl1224,zip_derived_cl290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SWW474^3 : TPTP v8.1.2. Released v5.3.0.
% 0.14/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0HcgxUDroT true
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 20:43:19 EDT 2023
% 0.22/0.37 % CPUTime :
% 0.22/0.37 % Running portfolio for 300 s
% 0.22/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.37 % Number of cores: 8
% 0.22/0.37 % Python version: Python 3.6.8
% 0.22/0.37 % Running in HO mode
% 0.24/0.69 % Total configuration time : 828
% 0.24/0.69 % Estimated wc time : 1656
% 0.24/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.24/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.20/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.35/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.35/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.35/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.43/0.83 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.83 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.45/0.95 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 39.32/5.75 % Solved by lams/15_e_short1.sh.
% 39.32/5.75 % done 155 iterations in 4.904s
% 39.32/5.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 39.32/5.75 % SZS output start Refutation
% See solution above
% 39.32/5.75
% 39.32/5.75
% 39.32/5.75 % Terminating...
% 39.33/5.90 % Runner terminated.
% 39.33/5.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------