TSTP Solution File: SWV770-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV770-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Sun May 5 11:11:00 EDT 2024
% Result : Unsatisfiable 33.14s 5.12s
% Output : Refutation 33.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 47 ( 34 unt; 0 def)
% Number of atoms : 62 ( 38 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 34 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 121 ( 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f333201,plain,
$false,
inference(trivial_inequality_removal,[],[f333200]) ).
fof(f333200,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OSignature,
inference(superposition,[],[f332831,f332703]) ).
fof(f332703,plain,
! [X0,X1] : c_Public_Okeymode_OSignature = c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1),
inference(unit_resulting_resolution,[],[f38,f330918,f127]) ).
fof(f127,axiom,
! [X2,X21,X8,X7] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X21,X2,X8),X7))
| hBOOL(hAPP(X2,X7))
| X7 = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f330918,plain,
! [X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_List_Olist_OCons(X3,c_Public_Okeymode_OEncryption,X4))),
inference(forward_demodulation,[],[f330682,f115]) ).
fof(f115,axiom,
! [X8,X7] : c_List_Oappend(c_List_Olist_ONil(X8),X7,X8) = X7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).
fof(f330682,plain,
! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_List_Oappend(c_List_Olist_ONil(X2),c_List_Olist_OCons(X3,c_Public_Okeymode_OEncryption,X4),X2))),
inference(unit_resulting_resolution,[],[f80666,f71710,f127]) ).
fof(f71710,plain,
! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)),
inference(unit_resulting_resolution,[],[f181,f32835,f107]) ).
fof(f107,axiom,
! [X29,X6] :
( ~ hBOOL(hAPP(X6,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X6,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X6,X29)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
fof(f32835,plain,
! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
inference(unit_resulting_resolution,[],[f181,f201]) ).
fof(f201,axiom,
! [X2,X21,X8,X7] :
( ~ hBOOL(hAPP(X2,X7))
| hBOOL(hAPP(c_Set_Oinsert(X21,X2,X8),X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f181,axiom,
! [X2,X8,X7] : hBOOL(hAPP(c_Set_Oinsert(X7,X2,X8),X7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f80666,plain,
! [X2,X3,X0,X1] : c_List_Oappend(c_List_Olist_ONil(X0),c_List_Olist_OCons(X1,X2,X3),X0) != X2,
inference(forward_demodulation,[],[f79476,f548]) ).
fof(f548,axiom,
! [X31] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X31)) = X31,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey_0) ).
fof(f79476,plain,
! [X2,X3,X0,X1] : c_List_Oappend(c_List_Olist_ONil(X0),hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_List_Olist_OCons(X1,X2,X3))),X0) != X2,
inference(unit_resulting_resolution,[],[f20223,f70126]) ).
fof(f70126,plain,
! [X2,X0,X1] :
( c_List_Oappend(c_List_Olist_ONil(X0),X2,X0) != X1
| X1 = X2 ),
inference(superposition,[],[f103,f115]) ).
fof(f103,axiom,
! [X28,X8,X27,X15] :
( c_List_Oappend(X15,X27,X8) != c_List_Oappend(X15,X28,X8)
| X27 = X28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_same__append__eq_0) ).
fof(f20223,plain,
! [X2,X0,X1] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_List_Olist_OCons(X0,X1,X2))) != X1,
inference(forward_demodulation,[],[f20210,f548]) ).
fof(f20210,plain,
! [X2,X0,X1] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_List_Olist_OCons(X0,X1,X2))) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X1)),
inference(unit_resulting_resolution,[],[f5298,f535]) ).
fof(f535,axiom,
! [X31,X48] :
( hAPP(c_Message_OinvKey,X31) != hAPP(c_Message_OinvKey,X48)
| X31 = X48 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
fof(f5298,plain,
! [X2,X0,X1] : hAPP(c_Message_OinvKey,X0) != hAPP(c_Message_OinvKey,c_List_Olist_OCons(X1,X0,X2)),
inference(unit_resulting_resolution,[],[f526,f535]) ).
fof(f526,axiom,
! [X39,X8,X7] : c_List_Olist_OCons(X7,X39,X8) != X39,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
fof(f38,axiom,
! [X8,X7] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f332831,plain,
! [X2,X1] : c_Public_Okeymode_OSignature != c_List_Olist_OCons(c_Message_OinvKey,X2,X1),
inference(superposition,[],[f146249,f332703]) ).
fof(f146249,plain,
! [X3,X0,X1,X4] : c_List_Olist_OCons(c_Message_OinvKey,X0,X1) != c_List_Olist_OCons(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X1),
inference(forward_demodulation,[],[f145134,f115]) ).
fof(f145134,plain,
! [X2,X3,X0,X1,X4] : c_List_Olist_OCons(c_Message_OinvKey,X0,X1) != c_List_Olist_OCons(c_List_Oappend(c_List_Olist_ONil(X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2),X4,X1),
inference(unit_resulting_resolution,[],[f80869,f550]) ).
fof(f550,axiom,
! [X73,X8,X9,X34,X33] :
( c_List_Olist_OCons(X33,X34,X8) != c_List_Olist_OCons(X9,X73,X8)
| X9 = X33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f80869,plain,
! [X0,X1] : c_Message_OinvKey != c_List_Oappend(c_List_Olist_ONil(X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X0),
inference(forward_demodulation,[],[f78469,f116]) ).
fof(f116,axiom,
! [X8,X15] : c_List_Oappend(X15,c_List_Olist_ONil(X8),X8) = X15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv_1) ).
fof(f78469,plain,
! [X2,X0,X1] : c_Message_OinvKey != c_List_Oappend(c_List_Olist_ONil(X0),c_List_Oappend(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_List_Olist_ONil(X2),X2),X0),
inference(unit_resulting_resolution,[],[f76758,f70126]) ).
fof(f76758,plain,
! [X0,X1] : c_Message_OinvKey != c_List_Oappend(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),c_List_Olist_ONil(X1),X1),
inference(forward_demodulation,[],[f74414,f548]) ).
fof(f74414,plain,
! [X0,X1] : c_Message_OinvKey != c_List_Oappend(hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),c_List_Olist_ONil(X1),X1),
inference(unit_resulting_resolution,[],[f34679,f66081]) ).
fof(f66081,plain,
! [X2,X0,X1] :
( c_List_Oappend(X2,c_List_Olist_ONil(X1),X1) != X0
| X0 = X2 ),
inference(superposition,[],[f102,f116]) ).
fof(f102,axiom,
! [X28,X8,X27,X15] :
( c_List_Oappend(X27,X15,X8) != c_List_Oappend(X28,X15,X8)
| X27 = X28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__same__eq_0) ).
fof(f34679,plain,
! [X0] : c_Message_OinvKey != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),
inference(forward_demodulation,[],[f34666,f548]) ).
fof(f34666,plain,
! [X0] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_OinvKey)),
inference(unit_resulting_resolution,[],[f33864,f535]) ).
fof(f33864,plain,
! [X0] : hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) != hAPP(c_Message_OinvKey,c_Message_OinvKey),
inference(unit_resulting_resolution,[],[f33829,f535]) ).
fof(f33829,plain,
! [X0] : c_Message_OinvKey != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
inference(superposition,[],[f29,f33113]) ).
fof(f33113,plain,
! [X0] : c_Message_OinvKey = c_Set_Oinsert(hAPP(c_Message_OinvKey,hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),c_Message_OinvKey,X0),
inference(unit_resulting_resolution,[],[f2218,f260]) ).
fof(f260,axiom,
! [X2,X8,X9] :
( ~ hBOOL(c_in(X9,X2,X8))
| c_Set_Oinsert(X9,X2,X8) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f2218,plain,
! [X0] : hBOOL(c_in(hAPP(c_Message_OinvKey,hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),c_Message_OinvKey,X0)),
inference(unit_resulting_resolution,[],[f1885,f1850]) ).
fof(f1850,plain,
! [X0,X1] :
( ~ hBOOL(X0)
| hBOOL(c_in(hAPP(c_Message_OinvKey,X0),c_Message_OinvKey,X1)) ),
inference(superposition,[],[f642,f548]) ).
fof(f642,axiom,
! [X8,X7,X53] :
( ~ hBOOL(hAPP(X53,X7))
| hBOOL(c_in(X7,X53,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f1885,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(unit_resulting_resolution,[],[f663,f643]) ).
fof(f643,axiom,
! [X8,X7,X53] :
( ~ hBOOL(c_in(X7,X53,X8))
| hBOOL(hAPP(X53,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f663,axiom,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f29,axiom,
! [X2,X8,X9] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_Set_Oinsert(X9,X2,X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV770-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:08:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (32415)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40 % (32419)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40 % (32418)WARNING: value z3 for option sas not known
% 0.21/0.41 % (32416)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.41 % (32417)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.41 % (32418)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 theBenchmark for (569ds/0Mi)
% 0.21/0.41 % (32420)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 theBenchmark for (531ds/0Mi)
% 0.21/0.41 % (32421)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 theBenchmark for (522ds/0Mi)
% 0.21/0.41 % (32422)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 theBenchmark for (497ds/0Mi)
% 1.23/0.55 TRYING [1]
% 1.23/0.57 TRYING [2]
% 2.79/0.77 TRYING [3]
% 3.96/0.96 TRYING [1]
% 4.33/1.00 TRYING [2]
% 8.45/1.63 TRYING [1]
% 8.45/1.64 TRYING [2]
% 9.05/1.65 TRYING [4]
% 9.79/1.80 TRYING [3]
% 10.14/1.81 TRYING [3]
% 16.01/2.72 TRYING [4]
% 28.21/4.42 TRYING [4]
% 30.92/4.79 TRYING [5]
% 33.14/5.11 % (32422)First to succeed.
% 33.14/5.11 % (32422)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32415"
% 33.14/5.12 % (32422)Refutation found. Thanks to Tanya!
% 33.14/5.12 % SZS status Unsatisfiable for theBenchmark
% 33.14/5.12 % SZS output start Proof for theBenchmark
% See solution above
% 33.14/5.12 % (32422)------------------------------
% 33.14/5.12 % (32422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 33.14/5.12 % (32422)Termination reason: Refutation
% 33.14/5.12
% 33.14/5.12 % (32422)Memory used [KB]: 83597
% 33.14/5.12 % (32422)Time elapsed: 4.710 s
% 33.14/5.12 % (32422)Instructions burned: 15389 (million)
% 33.14/5.12 % (32415)Success in time 4.736 s
%------------------------------------------------------------------------------