TSTP Solution File: SWV795-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV795-1 : 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 : 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 : Tue Apr 30 17:06:26 EDT 2024
% Result : Unsatisfiable 66.17s 9.94s
% Output : Refutation 66.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 46 ( 34 unt; 0 def)
% Number of atoms : 60 ( 38 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 33 ~; 14 |; 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 : 119 ( 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f483548,plain,
$false,
inference(trivial_inequality_removal,[],[f483547]) ).
fof(f483547,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OSignature,
inference(superposition,[],[f483075,f482897]) ).
fof(f482897,plain,
! [X0,X1] : c_Public_Okeymode_OSignature = c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1),
inference(unit_resulting_resolution,[],[f36,f481248,f374]) ).
fof(f374,axiom,
! [X2,X8,X7,X27] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X27,X2,X8),X7))
| hBOOL(hAPP(X2,X7))
| X7 = X27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f481248,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,[],[f481004,f73]) ).
fof(f73,axiom,
! [X8,X19] : c_List_Oappend(c_List_Olist_ONil(X8),X19,X8) = X19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil_0) ).
fof(f481004,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,[],[f72355,f55983,f374]) ).
fof(f55983,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,[],[f371,f32597,f58]) ).
fof(f58,axiom,
! [X6,X17] :
( ~ hBOOL(hAPP(X6,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X6,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X6,X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
fof(f32597,plain,
! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
inference(unit_resulting_resolution,[],[f371,f379]) ).
fof(f379,axiom,
! [X2,X8,X7,X27] :
( ~ hBOOL(hAPP(X2,X7))
| hBOOL(hAPP(c_Set_Oinsert(X27,X2,X8),X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f371,axiom,
! [X2,X8,X7] : hBOOL(hAPP(c_Set_Oinsert(X7,X2,X8),X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f72355,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,[],[f71332,f481]) ).
fof(f481,axiom,
! [X23] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X23)) = X23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).
fof(f71332,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,[],[f19946,f62575]) ).
fof(f62575,plain,
! [X2,X0,X1] :
( c_List_Oappend(c_List_Olist_ONil(X0),X2,X0) != X1
| X1 = X2 ),
inference(superposition,[],[f65,f73]) ).
fof(f65,axiom,
! [X8,X19,X15,X20] :
( c_List_Oappend(X15,X19,X8) != c_List_Oappend(X15,X20,X8)
| X19 = X20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_same__append__eq_0) ).
fof(f19946,plain,
! [X2,X0,X1] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_List_Olist_OCons(X0,X1,X2))) != X1,
inference(forward_demodulation,[],[f19933,f481]) ).
fof(f19933,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,[],[f5137,f466]) ).
fof(f466,axiom,
! [X58,X23] :
( hAPP(c_Message_OinvKey,X23) != hAPP(c_Message_OinvKey,X58)
| X23 = X58 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
fof(f5137,plain,
! [X2,X0,X1] : hAPP(c_Message_OinvKey,X0) != hAPP(c_Message_OinvKey,c_List_Olist_OCons(X1,X0,X2)),
inference(unit_resulting_resolution,[],[f457,f466]) ).
fof(f457,axiom,
! [X8,X7,X15] : c_List_Olist_OCons(X7,X15,X8) != X15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
fof(f36,axiom,
! [X8,X7] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f483075,plain,
! [X2,X1] : c_Public_Okeymode_OSignature != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X2,X1),
inference(superposition,[],[f107075,f482897]) ).
fof(f107075,plain,
! [X2,X3,X1,X4] : c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X4,X3) != c_List_Olist_OCons(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X3),
inference(forward_demodulation,[],[f107066,f73]) ).
fof(f107066,plain,
! [X2,X3,X0,X1,X4] : c_List_Olist_OCons(c_List_Oappend(c_List_Olist_ONil(X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X0),X2,X3) != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X4,X3),
inference(unit_resulting_resolution,[],[f72368,f484]) ).
fof(f484,axiom,
! [X31,X73,X8,X9,X30] :
( c_List_Olist_OCons(X30,X31,X8) != c_List_Olist_OCons(X9,X73,X8)
| X9 = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f72368,plain,
! [X0,X1] : c_NS__Shared__Mirabelle_Ons__shared != c_List_Oappend(c_List_Olist_ONil(X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X0),
inference(forward_demodulation,[],[f71190,f70]) ).
fof(f70,axiom,
! [X8,X15] : c_List_Oappend(X15,c_List_Olist_ONil(X8),X8) = X15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil2_0) ).
fof(f71190,plain,
! [X2,X0,X1] : c_NS__Shared__Mirabelle_Ons__shared != 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,[],[f68762,f62575]) ).
fof(f68762,plain,
! [X0,X1] : c_NS__Shared__Mirabelle_Ons__shared != c_List_Oappend(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),c_List_Olist_ONil(X1),X1),
inference(forward_demodulation,[],[f67610,f481]) ).
fof(f67610,plain,
! [X0,X1] : c_NS__Shared__Mirabelle_Ons__shared != 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,[],[f33742,f59096]) ).
fof(f59096,plain,
! [X2,X0,X1] :
( c_List_Oappend(X2,c_List_Olist_ONil(X1),X1) != X0
| X0 = X2 ),
inference(superposition,[],[f64,f70]) ).
fof(f64,axiom,
! [X8,X19,X15,X20] :
( c_List_Oappend(X19,X15,X8) != c_List_Oappend(X20,X15,X8)
| X19 = X20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__same__eq_0) ).
fof(f33742,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,[],[f33729,f481]) ).
fof(f33729,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,[],[f32709,f466]) ).
fof(f32709,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,[],[f32678,f466]) ).
fof(f32678,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
inference(superposition,[],[f30,f32647]) ).
fof(f32647,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0),
inference(unit_resulting_resolution,[],[f1765,f389]) ).
fof(f389,axiom,
! [X2,X8,X9] :
( ~ hBOOL(c_in(X9,X2,X8))
| c_Set_Oinsert(X9,X2,X8) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f1765,plain,
! [X0] : hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,X0)),
inference(unit_resulting_resolution,[],[f1754,f572]) ).
fof(f572,axiom,
! [X8,X7,X60] :
( ~ hBOOL(hAPP(X60,X7))
| hBOOL(c_in(X7,X60,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f1754,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs)),
inference(unit_resulting_resolution,[],[f596,f573]) ).
fof(f573,axiom,
! [X8,X7,X60] :
( ~ hBOOL(c_in(X7,X60,X8))
| hBOOL(hAPP(X60,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f596,axiom,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f30,axiom,
! [X2,X8,X9] : c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)) != c_Set_Oinsert(X9,X2,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV795-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 04:35:51 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (29029)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.39 % (29032)WARNING: value z3 for option sas not known
% 0.20/0.40 % (29032)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)
% 0.20/0.40 % (29030)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.40 % (29031)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.40 % (29033)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.40 % (29034)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)
% 0.20/0.40 % (29035)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)
% 0.20/0.40 % (29036)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)
% 2.19/0.69 TRYING [1]
% 2.19/0.72 TRYING [2]
% 4.29/0.99 TRYING [3]
% 4.92/1.10 TRYING [1]
% 5.35/1.17 TRYING [2]
% 9.07/1.69 TRYING [1]
% 9.07/1.72 TRYING [2]
% 10.85/1.96 TRYING [3]
% 11.94/2.10 TRYING [3]
% 13.93/2.40 TRYING [4]
% 20.78/3.41 TRYING [4]
% 37.49/5.83 TRYING [4]
% 57.67/8.73 TRYING [5]
% 66.17/9.92 % (29036)First to succeed.
% 66.17/9.94 % (29036)Refutation found. Thanks to Tanya!
% 66.17/9.94 % SZS status Unsatisfiable for theBenchmark
% 66.17/9.94 % SZS output start Proof for theBenchmark
% See solution above
% 66.17/9.94 % (29036)------------------------------
% 66.17/9.94 % (29036)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 66.17/9.94 % (29036)Termination reason: Refutation
% 66.17/9.94
% 66.17/9.94 % (29036)Memory used [KB]: 85736
% 66.17/9.94 % (29036)Time elapsed: 9.520 s
% 66.17/9.94 % (29036)Instructions burned: 19841 (million)
% 66.17/9.94 % (29036)------------------------------
% 66.17/9.94 % (29036)------------------------------
% 66.17/9.94 % (29029)Success in time 9.579 s
%------------------------------------------------------------------------------