TSTP Solution File: SWV746-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV746-1 : 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 : 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 : Tue Apr 30 17:06:09 EDT 2024
% Result : Unsatisfiable 79.00s 11.70s
% Output : Refutation 79.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 38 ( 28 unt; 0 def)
% Number of atoms : 51 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 27 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f538738,plain,
$false,
inference(trivial_inequality_removal,[],[f538737]) ).
fof(f538737,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OSignature,
inference(superposition,[],[f538445,f538178]) ).
fof(f538178,plain,
! [X0,X1] : c_Public_Okeymode_OSignature = c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1),
inference(unit_resulting_resolution,[],[f86,f536249,f405]) ).
fof(f405,axiom,
! [X10,X18,X6,X12] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X18,X6,X10),X12))
| hBOOL(hAPP(X6,X12))
| X12 = X18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f536249,plain,
! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_List_Olist_OCons(X2,c_Public_Okeymode_OEncryption,X3))),
inference(unit_resulting_resolution,[],[f513,f50470,f405]) ).
fof(f50470,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,[],[f25519,f413,f31]) ).
fof(f31,axiom,
! [X16,X17] :
( ~ hBOOL(hAPP(X16,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X16,c_Public_Okeymode_OSignature))
| hBOOL(hAPP(X16,X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
fof(f413,axiom,
! [X10,X6,X12] : hBOOL(hAPP(c_Set_Oinsert(X12,X6,X10),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f25519,plain,
! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
inference(unit_resulting_resolution,[],[f413,f394]) ).
fof(f394,axiom,
! [X10,X18,X6,X12] :
( ~ hBOOL(hAPP(X6,X12))
| hBOOL(hAPP(c_Set_Oinsert(X18,X6,X10),X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f513,axiom,
! [X10,X12,X43] : c_List_Olist_OCons(X12,X43,X10) != X43,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
fof(f86,axiom,
! [X10,X12] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)),X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f538445,plain,
! [X2,X1] : c_Public_Okeymode_OSignature != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X2,X1),
inference(superposition,[],[f122019,f538178]) ).
fof(f122019,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,[],[f121651,f1431]) ).
fof(f1431,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_bool),tc_bool) = X0,
inference(unit_resulting_resolution,[],[f548,f21]) ).
fof(f21,axiom,
! [X10,X12] :
( ~ class_Lattices_Oboolean__algebra(X10)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X12,X10),X10) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__compl_0) ).
fof(f548,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
fof(f121651,plain,
! [X2,X3,X0,X1] : c_List_Olist_OCons(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_bool),tc_bool),X1,X2) != c_List_Olist_OCons(c_NS__Shared__Mirabelle_Ons__shared,X3,X2),
inference(unit_resulting_resolution,[],[f62009,f448]) ).
fof(f448,axiom,
! [X10,X11,X68,X66,X67] :
( c_List_Olist_OCons(X11,X66,X10) != c_List_Olist_OCons(X67,X68,X10)
| X11 = X67 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
fof(f62009,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_bool),tc_bool),
inference(forward_demodulation,[],[f61991,f1431]) ).
fof(f61991,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_bool),tc_bool) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_NS__Shared__Mirabelle_Ons__shared,tc_bool),tc_bool),
inference(unit_resulting_resolution,[],[f548,f60797,f42]) ).
fof(f42,axiom,
! [X10,X18,X12] :
( ~ class_Lattices_Oboolean__algebra(X10)
| X12 = X18
| c_HOL_Ouminus__class_Ouminus(X12,X10) != c_HOL_Ouminus__class_Ouminus(X18,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
fof(f60797,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_bool) != c_HOL_Ouminus__class_Ouminus(c_NS__Shared__Mirabelle_Ons__shared,tc_bool),
inference(forward_demodulation,[],[f59474,f414]) ).
fof(f414,axiom,
! [X8] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X8)) = X8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).
fof(f59474,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))),tc_bool) != c_HOL_Ouminus__class_Ouminus(c_NS__Shared__Mirabelle_Ons__shared,tc_bool),
inference(unit_resulting_resolution,[],[f548,f24758,f42]) ).
fof(f24758,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,[],[f24746,f414]) ).
fof(f24746,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,[],[f23854,f402]) ).
fof(f402,axiom,
! [X38,X8] :
( hAPP(c_Message_OinvKey,X8) != hAPP(c_Message_OinvKey,X38)
| X8 = X38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
fof(f23854,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,[],[f23827,f402]) ).
fof(f23827,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),
inference(superposition,[],[f91,f23761]) ).
fof(f23761,plain,
! [X0] : c_NS__Shared__Mirabelle_Ons__shared = c_Set_Oinsert(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,X0),
inference(unit_resulting_resolution,[],[f1605,f386]) ).
fof(f386,axiom,
! [X10,X11,X6] :
( ~ hBOOL(c_in(X11,X6,X10))
| c_Set_Oinsert(X11,X6,X10) = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f1605,plain,
! [X0] : hBOOL(c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,X0)),
inference(unit_resulting_resolution,[],[f1593,f489]) ).
fof(f489,axiom,
! [X10,X47,X12] :
( ~ hBOOL(hAPP(X47,X12))
| hBOOL(c_in(X12,X47,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f1593,plain,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evsf)),
inference(unit_resulting_resolution,[],[f523,f490]) ).
fof(f490,axiom,
! [X10,X47,X12] :
( ~ hBOOL(c_in(X12,X47,X10))
| hBOOL(hAPP(X47,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f523,axiom,
hBOOL(c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f91,axiom,
! [X10,X11,X6] : c_Orderings_Obot__class_Obot(tc_fun(X10,tc_bool)) != c_Set_Oinsert(X11,X6,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWV746-1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n002.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 05:05:10 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (30023)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (30026)WARNING: value z3 for option sas not known
% 0.20/0.42 % (30026)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)
% 0.20/0.42 % (30029)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)
% 0.20/0.42 % (30025)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.42 % (30027)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.42 % (30028)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)
% 0.20/0.42 % (30030)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)
% 0.20/0.42 % (30024)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.16/0.59 TRYING [1]
% 1.16/0.62 TRYING [2]
% 3.26/0.89 TRYING [3]
% 3.81/0.95 TRYING [1]
% 4.14/1.02 TRYING [2]
% 9.01/1.69 TRYING [1]
% 9.01/1.71 TRYING [2]
% 9.67/1.78 TRYING [4]
% 9.67/1.81 TRYING [3]
% 10.73/1.93 TRYING [3]
% 14.34/2.50 TRYING [4]
% 25.49/4.10 TRYING [4]
% 38.22/5.92 TRYING [5]
% 39.64/6.14 TRYING [5]
% 78.65/11.68 % (30030)First to succeed.
% 79.00/11.70 % (30030)Refutation found. Thanks to Tanya!
% 79.00/11.70 % SZS status Unsatisfiable for theBenchmark
% 79.00/11.70 % SZS output start Proof for theBenchmark
% See solution above
% 79.00/11.70 % (30030)------------------------------
% 79.00/11.70 % (30030)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 79.00/11.70 % (30030)Termination reason: Refutation
% 79.00/11.70
% 79.00/11.70 % (30030)Memory used [KB]: 116550
% 79.00/11.70 % (30030)Time elapsed: 11.263 s
% 79.00/11.70 % (30030)Instructions burned: 23979 (million)
% 79.00/11.70 % (30030)------------------------------
% 79.00/11.70 % (30030)------------------------------
% 79.00/11.70 % (30023)Success in time 11.211 s
%------------------------------------------------------------------------------