TSTP Solution File: SWV765-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV765-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 : Sat Sep 2 13:58:26 EDT 2023
% Result : Unsatisfiable 50.95s 7.77s
% Output : Refutation 50.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 30 ( 22 unt; 0 def)
% Number of atoms : 40 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 20 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 69 (; 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f366645,plain,
$false,
inference(trivial_inequality_removal,[],[f366644]) ).
fof(f366644,plain,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OEncryption,
inference(superposition,[],[f366435,f366251]) ).
fof(f366251,plain,
! [X0,X1] : c_Public_Okeymode_OEncryption = c_List_Olist_OCons(X0,c_Public_Okeymode_OSignature,X1),
inference(unit_resulting_resolution,[],[f12,f365328,f264]) ).
fof(f264,axiom,
! [X2,X3,X10,X5] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X10,X5,X2),X3))
| hBOOL(hAPP(X5,X3))
| X3 = X10 ),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_insert__code_0) ).
fof(f365328,plain,
! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),c_List_Olist_OCons(X2,c_Public_Okeymode_OSignature,X3))),
inference(unit_resulting_resolution,[],[f383,f62846,f264]) ).
fof(f62846,plain,
! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2),X3)),
inference(unit_resulting_resolution,[],[f39902,f251,f77]) ).
fof(f77,axiom,
! [X31,X30] :
( ~ hBOOL(hAPP(X30,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X30,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X30,X31)) ),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_keymode_Oinduct_0) ).
fof(f251,axiom,
! [X2,X3,X5] : hBOOL(hAPP(c_Set_Oinsert(X3,X5,X2),X3)),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_insert__code_1) ).
fof(f39902,plain,
! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
inference(unit_resulting_resolution,[],[f251,f277]) ).
fof(f277,axiom,
! [X2,X3,X10,X5] :
( ~ hBOOL(hAPP(X5,X3))
| hBOOL(hAPP(c_Set_Oinsert(X10,X5,X2),X3)) ),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_insert__code_2) ).
fof(f383,axiom,
! [X2,X3,X46] : c_List_Olist_OCons(X3,X46,X2) != X46,
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_not__Cons__self2_0) ).
fof(f12,axiom,
! [X2,X3] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_bot1E_0) ).
fof(f366435,plain,
! [X213,X214] : c_Public_Okeymode_OEncryption != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X214,X213),
inference(superposition,[],[f84404,f366251]) ).
fof(f84404,plain,
! [X2,X3,X0,X1] : c_List_Olist_OCons(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,X2) != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X3,X2),
inference(forward_demodulation,[],[f84401,f405]) ).
fof(f405,axiom,
! [X15] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X15)) = X15,
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_invKey_0) ).
fof(f84401,plain,
! [X2,X3,X0,X1] : c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X3,X2) != c_List_Olist_OCons(hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),X1,X2),
inference(unit_resulting_resolution,[],[f41383,f408]) ).
fof(f408,axiom,
! [X2,X65,X11,X63,X64] :
( c_List_Olist_OCons(X11,X63,X2) != c_List_Olist_OCons(X64,X65,X2)
| X11 = X64 ),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_list_Oinject_0) ).
fof(f41383,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
inference(forward_demodulation,[],[f41369,f405]) ).
fof(f41369,plain,
! [X0] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_NS__Shared__Mirabelle_Ons__shared)) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
inference(unit_resulting_resolution,[],[f40065,f390]) ).
fof(f390,axiom,
! [X39,X15] :
( hAPP(c_Message_OinvKey,X15) != hAPP(c_Message_OinvKey,X39)
| X15 = X39 ),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_invKey__eq_0) ).
fof(f40065,plain,
! [X0] : hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) != hAPP(c_Message_OinvKey,c_NS__Shared__Mirabelle_Ons__shared),
inference(unit_resulting_resolution,[],[f40036,f390]) ).
fof(f40036,plain,
! [X6] : c_NS__Shared__Mirabelle_Ons__shared != c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),
inference(superposition,[],[f30,f40003]) ).
fof(f40003,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0),
inference(unit_resulting_resolution,[],[f2575,f298]) ).
fof(f298,axiom,
! [X2,X11,X5] :
( ~ hBOOL(c_in(X11,X5,X2))
| c_Set_Oinsert(X11,X5,X2) = X5 ),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_insert__absorb_0) ).
fof(f2575,plain,
! [X0] : hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0)),
inference(unit_resulting_resolution,[],[f2565,f492]) ).
fof(f492,axiom,
! [X2,X3,X56] :
( ~ hBOOL(hAPP(X56,X3))
| hBOOL(c_in(X3,X56,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_mem__def_1) ).
fof(f2565,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(unit_resulting_resolution,[],[f516,f493]) ).
fof(f493,axiom,
! [X2,X3,X56] :
( ~ hBOOL(c_in(X3,X56,X2))
| hBOOL(hAPP(X56,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_mem__def_0) ).
fof(f516,axiom,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_conjecture_1) ).
fof(f30,axiom,
! [X2,X11,X5] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != c_Set_Oinsert(X11,X5,X2),
file('/export/starexec/sandbox/tmp/tmp.0Ev5n6rbkH/Vampire---4.8_9830',cls_empty__not__insert_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.18 % Problem : SWV765-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.20 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.19/0.41 % Computer : n005.cluster.edu
% 0.19/0.41 % Model : x86_64 x86_64
% 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41 % Memory : 8042.1875MB
% 0.19/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41 % CPULimit : 300
% 0.19/0.41 % WCLimit : 300
% 0.19/0.41 % DateTime : Wed Aug 30 17:29:52 EDT 2023
% 0.26/0.41 % CPUTime :
% 0.26/0.47 % (10120)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.50 % (10139)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.26/0.50 % (10140)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.26/0.50 % (10141)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.26/0.50 % (10143)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.26/0.50 % (10142)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.26/0.50 % (10144)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.26/0.50 % (10145)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.26/0.66 TRYING [1]
% 0.26/0.68 TRYING [2]
% 2.59/0.86 TRYING [3]
% 3.65/1.05 TRYING [1]
% 4.57/1.12 TRYING [2]
% 8.88/1.76 TRYING [1]
% 9.22/1.79 TRYING [2]
% 9.70/1.92 TRYING [4]
% 10.01/1.93 TRYING [3]
% 10.96/2.06 TRYING [3]
% 13.66/2.54 TRYING [4]
% 33.49/5.27 TRYING [4]
% 41.43/6.46 TRYING [5]
% 44.40/6.91 TRYING [5]
% 50.20/7.75 % (10145)First to succeed.
% 50.95/7.77 % (10145)Refutation found. Thanks to Tanya!
% 50.95/7.77 % SZS status Unsatisfiable for Vampire---4
% 50.95/7.77 % SZS output start Proof for Vampire---4
% See solution above
% 50.95/7.78 % (10145)------------------------------
% 50.95/7.78 % (10145)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 50.95/7.78 % (10145)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 50.95/7.78 % (10145)Termination reason: Refutation
% 50.95/7.78
% 50.95/7.78 % (10145)Memory used [KB]: 162598
% 50.95/7.78 % (10145)Time elapsed: 7.247 s
% 50.95/7.78 % (10145)------------------------------
% 50.95/7.78 % (10145)------------------------------
% 50.95/7.78 % (10120)Success in time 7.297 s
% 50.95/7.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------