%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV762-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:27 PM UTC 2026
% Result : Unsatisfiable 11.65s 2.34s
% Output : Refutation 12.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 55
% Syntax : Number of formulae : 176 ( 93 unt; 34 def)
% Number of atoms : 284 ( 95 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 195 ( 87 ~; 102 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 61 ( 61 usr; 45 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3))
| ~ hBOOL(hAPP(X0,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).
fof(f43,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X0,tc_fun(X3,tc_bool)),X1))
| hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1E_0) ).
fof(f225,axiom,
! [X2,X0,X1] : c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) = c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
fof(f261,axiom,
! [X0] : c_Message_Oparts(c_Message_Osynth(X0)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__synth_0) ).
fof(f290,axiom,
! [X2,X3,X0,X1] :
( hBOOL(c_in(X0,c_Set_Oinsert(X1,X2,X3),X3))
| ~ hBOOL(c_in(X0,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).
fof(f418,axiom,
! [X0,X1] :
( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X1))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
fof(f419,plain,
! [X0,X1] :
( c_Message_Osynth(c_Message_Oanalz(X1)) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)))
| ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
inference(reorient_equations,[],[f418]) ).
fof(f443,axiom,
! [X2,X3,X0,X1] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
fof(f502,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).
fof(f503,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f502]) ).
fof(f518,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5)
| X0 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
fof(f565,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,X1,X2))
| ~ hBOOL(hAPP(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f566,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X1,X0,X2))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f572,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(X0,c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),X2))
| X0 = X3
| hBOOL(c_in(X0,c_List_Oset(X1,X2),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__ConsD_0) ).
fof(f578,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
fof(f587,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
fof(f607,axiom,
! [X0,X1] :
( hBOOL(c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
fof(f609,negated_conjecture,
hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f610,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f611,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f612,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f613,negated_conjecture,
! [X0] : ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f614,negated_conjecture,
( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f670,definition,
sF2 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f671,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf) = sF2,
inference(reorient_equations,[],[f670]) ).
fof(f672,definition,
sF3 = c_Message_Oanalz(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f673,plain,
c_Message_Oanalz(sF2) = sF3,
inference(reorient_equations,[],[f672]) ).
fof(f674,definition,
sF4 = c_Message_Osynth(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f675,plain,
c_Message_Osynth(sF3) = sF4,
inference(reorient_equations,[],[f674]) ).
fof(f676,definition,
sF5 = c_in(v_Xa,sF4,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f677,plain,
c_in(v_Xa,sF4,tc_Message_Omsg) = sF5,
inference(reorient_equations,[],[f676]) ).
fof(f678,plain,
hBOOL(sF5),
inference(definition_folding,[],[f609,f677,f675,f673,f671]) ).
fof(f679,definition,
sF6 = hAPP(c_Message_Omsg_OKey,v_K),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f680,plain,
hAPP(c_Message_Omsg_OKey,v_K) = sF6,
inference(reorient_equations,[],[f679]) ).
fof(f681,definition,
sF7 = c_in(sF6,sF3,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f682,plain,
c_in(sF6,sF3,tc_Message_Omsg) = sF7,
inference(reorient_equations,[],[f681]) ).
fof(f683,plain,
~ hBOOL(sF7),
inference(definition_folding,[],[f610,f682,f673,f671,f680]) ).
fof(f684,definition,
sF8 = hAPP(c_Public_OshrK,v_A),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f685,plain,
hAPP(c_Public_OshrK,v_A) = sF8,
inference(reorient_equations,[],[f684]) ).
fof(f686,definition,
sF9 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f687,plain,
c_Message_Omsg_OAgent(v_B) = sF9,
inference(reorient_equations,[],[f686]) ).
fof(f688,definition,
sF10 = c_Message_Omsg_OMPair(sF6,v_X),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f689,plain,
c_Message_Omsg_OMPair(sF6,v_X) = sF10,
inference(reorient_equations,[],[f688]) ).
fof(f690,definition,
sF11 = c_Message_Omsg_OMPair(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f691,plain,
c_Message_Omsg_OMPair(sF9,sF10) = sF11,
inference(reorient_equations,[],[f690]) ).
fof(f692,definition,
sF12 = c_Message_Omsg_OMPair(v_NA,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f693,plain,
c_Message_Omsg_OMPair(v_NA,sF11) = sF12,
inference(reorient_equations,[],[f692]) ).
fof(f694,definition,
sF13 = c_Message_Omsg_OCrypt(sF8,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f695,plain,
c_Message_Omsg_OCrypt(sF8,sF12) = sF13,
inference(reorient_equations,[],[f694]) ).
fof(f696,definition,
sF14 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f697,plain,
c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,sF13) = sF14,
inference(reorient_equations,[],[f696]) ).
fof(f698,definition,
sF15 = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f699,plain,
c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa) = sF15,
inference(reorient_equations,[],[f698]) ).
fof(f700,definition,
sF16 = c_List_Olist_OCons(sF15,v_evsf,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f701,plain,
c_List_Olist_OCons(sF15,v_evsf,tc_Event_Oevent) = sF16,
inference(reorient_equations,[],[f700]) ).
fof(f702,definition,
sF17 = c_List_Oset(sF16,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f703,plain,
c_List_Oset(sF16,tc_Event_Oevent) = sF17,
inference(reorient_equations,[],[f702]) ).
fof(f704,definition,
sF18 = c_in(sF14,sF17,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f705,plain,
c_in(sF14,sF17,tc_Event_Oevent) = sF18,
inference(reorient_equations,[],[f704]) ).
fof(f706,plain,
hBOOL(sF18),
inference(definition_folding,[],[f611,f705,f703,f701,f699,f697,f695,f693,f691,f689,f680,f687,f685]) ).
fof(f707,definition,
sF19 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f708,plain,
c_Message_Omsg_ONonce(v_NB) = sF19,
inference(reorient_equations,[],[f707]) ).
fof(f709,definition,
sF20 = c_Message_Omsg_OCrypt(v_K,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f710,plain,
c_Message_Omsg_OCrypt(v_K,sF19) = sF20,
inference(reorient_equations,[],[f709]) ).
fof(f711,definition,
sF21 = c_Event_Oknows(c_Message_Oagent_OSpy,sF16),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f712,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,sF16) = sF21,
inference(reorient_equations,[],[f711]) ).
fof(f713,definition,
sF22 = c_Message_Oparts(sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f714,plain,
c_Message_Oparts(sF21) = sF22,
inference(reorient_equations,[],[f713]) ).
fof(f715,definition,
sF23 = c_in(sF20,sF22,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f716,plain,
c_in(sF20,sF22,tc_Message_Omsg) = sF23,
inference(reorient_equations,[],[f715]) ).
fof(f717,plain,
hBOOL(sF23),
inference(definition_folding,[],[f612,f716,f714,f712,f701,f699,f710,f708]) ).
fof(f718,plain,
! [X0] : ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,v_B,v_X),sF17,tc_Event_Oevent)),
inference(definition_folding,[],[f613,f703,f701,f699]) ).
fof(f719,definition,
sF24 = c_Event_Oevent_OSays(v_x,v_B,v_X),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f720,plain,
c_Event_Oevent_OSays(v_x,v_B,v_X) = sF24,
inference(reorient_equations,[],[f719]) ).
fof(f721,definition,
sF25 = c_List_Oset(v_evsf,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f722,plain,
c_List_Oset(v_evsf,tc_Event_Oevent) = sF25,
inference(reorient_equations,[],[f721]) ).
fof(f723,definition,
sF26 = c_in(sF24,sF25,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f724,plain,
c_in(sF24,sF25,tc_Event_Oevent) = sF26,
inference(reorient_equations,[],[f723]) ).
fof(f725,definition,
sF27 = c_Message_Oparts(sF2),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f726,plain,
c_Message_Oparts(sF2) = sF27,
inference(reorient_equations,[],[f725]) ).
fof(f727,definition,
sF28 = c_in(sF20,sF27,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f728,plain,
c_in(sF20,sF27,tc_Message_Omsg) = sF28,
inference(reorient_equations,[],[f727]) ).
fof(f729,definition,
sF29 = c_in(sF14,sF25,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f730,plain,
c_in(sF14,sF25,tc_Event_Oevent) = sF29,
inference(reorient_equations,[],[f729]) ).
fof(f731,plain,
( hBOOL(sF26)
| ~ hBOOL(sF28)
| ~ hBOOL(sF29) ),
inference(definition_folding,[],[f614,f730,f722,f697,f695,f693,f691,f689,f680,f687,f685,f728,f726,f671,f710,f708,f724,f722,f720]) ).
fof(f737,definition,
( spl30_1
<=> hBOOL(sF29) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f739,plain,
( ~ hBOOL(sF29)
| spl30_1 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f741,definition,
( spl30_2
<=> hBOOL(sF28) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f743,plain,
( ~ hBOOL(sF28)
| spl30_2 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f745,definition,
( spl30_3
<=> hBOOL(sF26) ),
introduced(definition,[new_symbols(definition,[spl30_3])],[avatar_definition]) ).
fof(f747,plain,
( hBOOL(sF26)
| ~ spl30_3 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f748,plain,
( ~ spl30_1
| ~ spl30_2
| spl30_3 ),
inference(avatar_split_clause,[],[f731,f745,f741,f737]) ).
fof(f796,plain,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)) = sF20,
inference(forward_demodulation,[],[f710,f708]) ).
fof(f812,plain,
( hBOOL(sF28)
| ~ hBOOL(hAPP(sF27,sF20)) ),
inference(superposition,[],[f565,f728]) ).
fof(f820,definition,
( spl30_5
<=> hBOOL(hAPP(sF27,sF20)) ),
introduced(definition,[new_symbols(definition,[spl30_5])],[avatar_definition]) ).
fof(f822,plain,
( ~ hBOOL(hAPP(sF27,sF20))
| spl30_5 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f823,plain,
( ~ spl30_5
| spl30_2 ),
inference(avatar_split_clause,[],[f812,f741,f820]) ).
fof(f830,plain,
! [X0] : c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(sF15,X0,tc_Event_Oevent)),
inference(superposition,[],[f443,f699]) ).
fof(f838,plain,
( ~ hBOOL(sF23)
| hBOOL(hAPP(sF22,sF20)) ),
inference(superposition,[],[f566,f716]) ).
fof(f843,plain,
hBOOL(hAPP(sF22,sF20)),
inference(forward_subsumption_resolution,[],[f838,f717]) ).
fof(f859,plain,
! [X0,X1] :
( hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),sF3,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),sF4,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),sF3,tc_Message_Omsg)) ),
inference(superposition,[],[f587,f675]) ).
fof(f867,plain,
! [X0] : ~ hBOOL(hAPP(sF17,c_Event_Oevent_OSays(X0,v_B,v_X))),
inference(resolution,[],[f718,f565]) ).
fof(f869,plain,
~ hBOOL(hAPP(sF17,sF24)),
inference(superposition,[],[f867,f720]) ).
fof(f922,plain,
! [X2,X0,X1] :
( c_Event_Oevent_OSays(X0,X1,X2) != sF14
| c_Message_Oagent_OServer = X0 ),
inference(superposition,[],[f518,f697]) ).
fof(f1033,plain,
c_Message_Oparts(sF2) = c_Message_Oparts(sF3),
inference(superposition,[],[f503,f673]) ).
fof(f1036,plain,
sF27 = c_Message_Oparts(sF3),
inference(forward_demodulation,[],[f1033,f726]) ).
fof(f1086,plain,
( hBOOL(c_in(sF20,sF3,tc_Message_Omsg))
| ~ hBOOL(c_in(sF20,sF4,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),sF3,tc_Message_Omsg)) ),
inference(superposition,[],[f859,f796]) ).
fof(f1101,plain,
( hBOOL(c_in(sF6,sF3,tc_Message_Omsg))
| hBOOL(c_in(sF20,sF3,tc_Message_Omsg))
| ~ hBOOL(c_in(sF20,sF4,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f1086,f680]) ).
fof(f1102,plain,
( hBOOL(sF7)
| hBOOL(c_in(sF20,sF3,tc_Message_Omsg))
| ~ hBOOL(c_in(sF20,sF4,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f1101,f682]) ).
fof(f1103,plain,
( hBOOL(c_in(sF20,sF3,tc_Message_Omsg))
| ~ hBOOL(c_in(sF20,sF4,tc_Message_Omsg)) ),
inference(forward_subsumption_resolution,[],[f1102,f683]) ).
fof(f1105,definition,
( spl30_18
<=> hBOOL(c_in(sF20,sF4,tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl30_18])],[avatar_definition]) ).
fof(f1107,plain,
( ~ hBOOL(c_in(sF20,sF4,tc_Message_Omsg))
| spl30_18 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1109,definition,
( spl30_19
<=> hBOOL(c_in(sF20,sF3,tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl30_19])],[avatar_definition]) ).
fof(f1112,plain,
( ~ spl30_18
| spl30_19 ),
inference(avatar_split_clause,[],[f1103,f1109,f1105]) ).
fof(f1113,plain,
( ~ hBOOL(hAPP(sF4,sF20))
| spl30_18 ),
inference(resolution,[],[f1107,f565]) ).
fof(f1175,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,sF16) = c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),
inference(superposition,[],[f830,f701]) ).
fof(f1178,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,sF16) = c_Set_Oinsert(v_Xa,sF2,tc_Message_Omsg),
inference(forward_demodulation,[],[f1175,f671]) ).
fof(f1179,plain,
sF21 = c_Set_Oinsert(v_Xa,sF2,tc_Message_Omsg),
inference(forward_demodulation,[],[f1178,f712]) ).
fof(f1181,plain,
( c_Message_Osynth(c_Message_Oanalz(sF2)) = c_Message_Osynth(c_Message_Oanalz(sF21))
| ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(sF2)),tc_Message_Omsg)) ),
inference(superposition,[],[f419,f1179]) ).
fof(f1198,plain,
( c_Message_Osynth(sF3) = c_Message_Osynth(c_Message_Oanalz(sF21))
| ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(sF2)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f1181,f673]) ).
fof(f1200,plain,
( sF4 = c_Message_Osynth(c_Message_Oanalz(sF21))
| ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(sF2)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f1198,f675]) ).
fof(f1201,plain,
( ~ hBOOL(c_in(v_Xa,c_Message_Osynth(sF3),tc_Message_Omsg))
| sF4 = c_Message_Osynth(c_Message_Oanalz(sF21)) ),
inference(forward_demodulation,[],[f1200,f673]) ).
fof(f1202,plain,
( ~ hBOOL(c_in(v_Xa,sF4,tc_Message_Omsg))
| sF4 = c_Message_Osynth(c_Message_Oanalz(sF21)) ),
inference(forward_demodulation,[],[f1201,f675]) ).
fof(f1203,plain,
( ~ hBOOL(sF5)
| sF4 = c_Message_Osynth(c_Message_Oanalz(sF21)) ),
inference(forward_demodulation,[],[f1202,f677]) ).
fof(f1204,plain,
sF4 = c_Message_Osynth(c_Message_Oanalz(sF21)),
inference(forward_subsumption_resolution,[],[f1203,f678]) ).
fof(f1252,plain,
! [X0] :
( ~ hBOOL(c_in(X0,c_List_Oset(sF16,tc_Event_Oevent),tc_Event_Oevent))
| sF15 = X0
| hBOOL(c_in(X0,c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(superposition,[],[f572,f701]) ).
fof(f1253,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF17,tc_Event_Oevent))
| sF15 = X0
| hBOOL(c_in(X0,c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(forward_demodulation,[],[f1252,f703]) ).
fof(f1254,plain,
! [X0] :
( hBOOL(c_in(X0,sF25,tc_Event_Oevent))
| ~ hBOOL(c_in(X0,sF17,tc_Event_Oevent))
| sF15 = X0 ),
inference(forward_demodulation,[],[f1253,f722]) ).
fof(f1258,plain,
( hBOOL(sF29)
| ~ hBOOL(c_in(sF14,sF17,tc_Event_Oevent))
| sF14 = sF15 ),
inference(superposition,[],[f1254,f730]) ).
fof(f1260,plain,
( ~ hBOOL(c_in(sF14,sF17,tc_Event_Oevent))
| sF14 = sF15
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f1258,f739]) ).
fof(f1261,plain,
( ~ hBOOL(sF18)
| sF14 = sF15
| spl30_1 ),
inference(forward_demodulation,[],[f1260,f705]) ).
fof(f1262,plain,
( sF14 = sF15
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f1261,f706]) ).
fof(f1269,plain,
( ! [X2,X0,X1] :
( c_Event_Oevent_OSays(X0,X1,X2) != sF15
| c_Message_Oagent_OServer = X0 )
| spl30_1 ),
inference(backward_demodulation,[],[f922,f1262]) ).
fof(f1383,plain,
( sF15 != sF15
| c_Message_Oagent_OSpy = c_Message_Oagent_OServer
| spl30_1 ),
inference(superposition,[],[f1269,f699]) ).
fof(f1384,plain,
( c_Message_Oagent_OSpy = c_Message_Oagent_OServer
| spl30_1 ),
inference(trivial_inequality_removal,[],[f1383]) ).
fof(f1385,plain,
( $false
| spl30_1 ),
inference(forward_subsumption_resolution,[],[f1384,f578]) ).
fof(f1386,plain,
spl30_1,
inference(avatar_contradiction_clause,[],[f1385]) ).
fof(f1453,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(X0)),X1))
| ~ hBOOL(hAPP(c_Message_Oparts(X0),X1)) ),
inference(superposition,[],[f41,f261]) ).
fof(f1567,plain,
! [X0] :
( hBOOL(c_in(X0,sF27,tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_Oanalz(sF2),tc_Message_Omsg)) ),
inference(superposition,[],[f607,f726]) ).
fof(f1574,plain,
! [X0] :
( hBOOL(c_in(X0,sF27,tc_Message_Omsg))
| ~ hBOOL(c_in(X0,sF3,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f1567,f673]) ).
fof(f1582,plain,
( hBOOL(sF28)
| ~ hBOOL(c_in(sF20,sF3,tc_Message_Omsg)) ),
inference(superposition,[],[f1574,f728]) ).
fof(f1583,plain,
( ~ hBOOL(c_in(sF20,sF3,tc_Message_Omsg))
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f1582,f743]) ).
fof(f1584,plain,
( ~ spl30_19
| spl30_2 ),
inference(avatar_split_clause,[],[f1583,f741,f1109]) ).
fof(f1854,plain,
! [X2,X3,X0,X1] :
( hBOOL(c_in(X3,c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2),X2))
| ~ hBOOL(c_in(X3,c_List_Oset(X1,X2),X2)) ),
inference(superposition,[],[f290,f225]) ).
fof(f1881,plain,
! [X0] :
( hBOOL(c_in(X0,c_List_Oset(sF16,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X0,c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(superposition,[],[f1854,f701]) ).
fof(f1884,plain,
! [X0] :
( hBOOL(c_in(X0,sF17,tc_Event_Oevent))
| ~ hBOOL(c_in(X0,c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(forward_demodulation,[],[f1881,f703]) ).
fof(f1885,plain,
! [X0] :
( hBOOL(c_in(X0,sF17,tc_Event_Oevent))
| ~ hBOOL(c_in(X0,sF25,tc_Event_Oevent)) ),
inference(forward_demodulation,[],[f1884,f722]) ).
fof(f1887,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF25,tc_Event_Oevent))
| hBOOL(hAPP(sF17,X0)) ),
inference(resolution,[],[f1885,f566]) ).
fof(f1901,plain,
( ~ hBOOL(sF26)
| hBOOL(hAPP(sF17,sF24)) ),
inference(superposition,[],[f1887,f724]) ).
fof(f1996,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(X0)),X1))
| hBOOL(hAPP(c_Message_Oparts(X0),X1))
| hBOOL(hAPP(c_Message_Osynth(X0),X1)) ),
inference(superposition,[],[f43,f261]) ).
fof(f2009,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Message_Oparts(sF4),X0))
| hBOOL(hAPP(c_Message_Oparts(sF3),X0))
| hBOOL(hAPP(sF4,X0)) ),
inference(superposition,[],[f1996,f675]) ).
fof(f2011,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Message_Oparts(sF4),X0))
| hBOOL(hAPP(sF27,X0))
| hBOOL(hAPP(sF4,X0)) ),
inference(forward_demodulation,[],[f2009,f1036]) ).
fof(f2423,plain,
! [X0] :
( hBOOL(hAPP(c_Message_Oparts(sF4),X0))
| ~ hBOOL(hAPP(c_Message_Oparts(c_Message_Oanalz(sF21)),X0)) ),
inference(superposition,[],[f1453,f1204]) ).
fof(f2427,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Message_Oparts(sF21),X0))
| hBOOL(hAPP(c_Message_Oparts(sF4),X0)) ),
inference(forward_demodulation,[],[f2423,f503]) ).
fof(f2429,plain,
! [X0] :
( hBOOL(hAPP(c_Message_Oparts(sF4),X0))
| ~ hBOOL(hAPP(sF22,X0)) ),
inference(forward_demodulation,[],[f2427,f714]) ).
fof(f2431,plain,
! [X0] :
( hBOOL(hAPP(sF27,X0))
| ~ hBOOL(hAPP(sF22,X0))
| hBOOL(hAPP(sF4,X0)) ),
inference(resolution,[],[f2429,f2011]) ).
fof(f2434,plain,
( ~ hBOOL(hAPP(sF22,sF20))
| hBOOL(hAPP(sF4,sF20))
| spl30_5 ),
inference(resolution,[],[f2431,f822]) ).
fof(f2436,plain,
( hBOOL(hAPP(sF4,sF20))
| spl30_5 ),
inference(forward_subsumption_resolution,[],[f2434,f843]) ).
fof(f2437,plain,
( $false
| spl30_5
| spl30_18 ),
inference(forward_subsumption_resolution,[],[f2436,f1113]) ).
fof(f2438,plain,
( spl30_5
| spl30_18 ),
inference(avatar_contradiction_clause,[],[f2437]) ).
fof(f2449,plain,
( hBOOL(hAPP(sF17,sF24))
| ~ spl30_3 ),
inference(forward_subsumption_resolution,[],[f1901,f747]) ).
fof(f2453,plain,
( $false
| ~ spl30_3 ),
inference(forward_subsumption_resolution,[],[f2449,f869]) ).
fof(f2454,plain,
~ spl30_3,
inference(avatar_contradiction_clause,[],[f2453]) ).
cnf(s1,plain,
( ~ spl30_1
| ~ spl30_2
| spl30_3 ),
inference(sat_conversion,[],[f748]) ).
cnf(s3,plain,
( spl30_2
| ~ spl30_5 ),
inference(sat_conversion,[],[f823]) ).
cnf(s11,plain,
( ~ spl30_18
| spl30_19 ),
inference(sat_conversion,[],[f1112]) ).
cnf(s18,plain,
spl30_1,
inference(sat_conversion,[],[f1386]) ).
cnf(s22,plain,
( spl30_2
| ~ spl30_19 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s35,plain,
( spl30_5
| spl30_18 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s40,plain,
~ spl30_3,
inference(sat_conversion,[],[f2454]) ).
cnf(s44,plain,
~ spl30_2,
inference(rat,[],[s1,s40,s18]) ).
cnf(s45,plain,
~ spl30_19,
inference(rat,[],[s22,s44]) ).
cnf(s46,plain,
~ spl30_5,
inference(rat,[],[s3,s44]) ).
cnf(s47,plain,
~ spl30_18,
inference(rat,[],[s11,s45]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s35,s47,s46]) ).
fof(f2458,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV762-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:31:42 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.39/1.92 % (3823048)Input is clausal, will run a generic CNF schedule.
% 7.39/1.92 % (3823057)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4043903523:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.39/1.92 % (3823057)Instruction limit reached!
% 7.39/1.92 % (3823057)------------------------------
% 7.39/1.92 % (3823057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.92 % (3823057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.92 % (3823057)CaDiCaL version: 2.1.3
% 7.39/1.92 % (3823057)Termination reason: Instruction limit
% 7.39/1.92 % (3823057)Termination phase: Saturation
% 7.39/1.92 % (3823057)Time elapsed: 0.044 s
% 7.39/1.92 % (3823057)Peak memory usage: 89 MB
% 7.39/1.92 % (3823057)Instructions burned: 115 (million)
% 7.39/1.92 % (3823056)lrs+10_1_sil=8000:sp=occurrence:random_seed=3815587273:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.39/1.92 % (3823054)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1949529276:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.39/1.92 % (3823055)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2907856143:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.39/1.92 % (3823053)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2562950580:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.39/1.92 % (3823059)dis-21_1_sil=8000:lcm=predicate:random_seed=709851922:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.39/1.92 % (3823058)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=944408845:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.39/1.92 % (3823056)Instruction limit reached!
% 7.39/1.92 % (3823056)------------------------------
% 7.39/1.92 % (3823056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.92 % (3823056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.92 % (3823056)CaDiCaL version: 2.1.3
% 7.39/1.92 % (3823056)Termination reason: Instruction limit
% 7.39/1.92 % (3823056)Termination phase: Saturation
% 7.39/1.92 % (3823056)Time elapsed: 0.070 s
% 7.39/1.92 % (3823056)Peak memory usage: 89 MB
% 7.39/1.92 % (3823056)Instructions burned: 107 (million)
% 7.39/1.92 % (3823059)Instruction limit reached!
% 7.39/1.92 % (3823059)------------------------------
% 7.39/1.92 % (3823059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.92 % (3823059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.92 % (3823059)CaDiCaL version: 2.1.3
% 7.39/1.92 % (3823059)Termination reason: Instruction limit
% 7.39/1.92 % (3823059)Termination phase: Saturation
% 7.39/1.92 % (3823059)Time elapsed: 0.071 s
% 7.39/1.92 % (3823059)Peak memory usage: 89 MB
% 7.39/1.92 % (3823059)Instructions burned: 118 (million)
% 7.39/1.92 % (3823065)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3772002678:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.39/1.92 % (3823058)Instruction limit reached!
% 7.39/1.92 % (3823058)------------------------------
% 7.39/1.92 % (3823058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.92 % (3823058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.92 % (3823058)CaDiCaL version: 2.1.3
% 7.39/1.92 % (3823058)Termination reason: Instruction limit
% 7.39/1.92 % (3823058)Termination phase: Saturation
% 7.39/1.92 % (3823058)Time elapsed: 0.117 s
% 7.39/1.92 % (3823058)Peak memory usage: 90 MB
% 7.39/1.92 % (3823058)Instructions burned: 181 (million)
% 7.39/1.92 % (3823065)Instruction limit reached!
% 7.39/1.92 % (3823065)------------------------------
% 7.39/1.92 % (3823065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.92 % (3823065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.92 % (3823065)CaDiCaL version: 2.1.3
% 7.39/1.92 % (3823065)Termination reason: Instruction limit
% 7.39/1.92 % (3823065)Termination phase: Saturation
% 7.39/1.92 % (3823065)Time elapsed: 0.049 s
% 7.39/1.92 % (3823065)Peak memory usage: 90 MB
% 7.39/1.92 % (3823065)Instructions burned: 144 (million)
% 7.39/1.92 % (3823068)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2192020027:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.65/2.34 % (3823069)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3347731879:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.65/2.34 % (3823072)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1580029731:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 11.65/2.34 % (3823071)lrs+10_64_to=lpo:sil=8000:random_seed=306611448:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.65/2.34 % (3823069)Refutation not found, incomplete strategy
% 11.65/2.34 % (3823069)------------------------------
% 11.65/2.34 % (3823069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823069)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823069)Termination reason: Refutation not found, incomplete strategy
% 11.65/2.34 % (3823069)Time elapsed: 0.045 s
% 11.65/2.34 % (3823069)Peak memory usage: 89 MB
% 11.65/2.34 % (3823069)Instructions burned: 73 (million)
% 11.65/2.34 % (3823072)Instruction limit reached!
% 11.65/2.34 % (3823072)------------------------------
% 11.65/2.34 % (3823072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823072)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823072)Termination reason: Instruction limit
% 11.65/2.34 % (3823072)Termination phase: Saturation
% 11.65/2.34 % (3823072)Time elapsed: 0.061 s
% 11.65/2.34 % (3823072)Peak memory usage: 90 MB
% 11.65/2.34 % (3823072)Instructions burned: 201 (million)
% 11.65/2.34 % (3823068)Instruction limit reached!
% 11.65/2.34 % (3823068)------------------------------
% 11.65/2.34 % (3823068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823068)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823068)Termination reason: Instruction limit
% 11.65/2.34 % (3823068)Termination phase: Saturation
% 11.65/2.34 % (3823068)Time elapsed: 0.107 s
% 11.65/2.34 % (3823068)Peak memory usage: 90 MB
% 11.65/2.34 % (3823068)Instructions burned: 190 (million)
% 11.65/2.34 % (3823071)Instruction limit reached!
% 11.65/2.34 % (3823071)------------------------------
% 11.65/2.34 % (3823071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823071)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823071)Termination reason: Instruction limit
% 11.65/2.34 % (3823071)Termination phase: Saturation
% 11.65/2.34 % (3823071)Time elapsed: 0.079 s
% 11.65/2.34 % (3823071)Peak memory usage: 89 MB
% 11.65/2.34 % (3823071)Instructions burned: 126 (million)
% 11.65/2.34 % (3823077)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2710902061:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 11.65/2.34 % (3823077)Instruction limit reached!
% 11.65/2.34 % (3823077)------------------------------
% 11.65/2.34 % (3823077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823077)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823077)Termination reason: Instruction limit
% 11.65/2.34 % (3823077)Termination phase: Saturation
% 11.65/2.34 % (3823077)Time elapsed: 0.057 s
% 11.65/2.34 % (3823077)Peak memory usage: 91 MB
% 11.65/2.34 % (3823077)Instructions burned: 158 (million)
% 11.65/2.34 % (3823078)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3553237078:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 11.65/2.34 % (3823079)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4131374631:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.65/2.34 % (3823069)------------------------------
% 11.65/2.34 % (3823069)------------------------------
% 11.65/2.34 % (3823081)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1727091754:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 11.65/2.34 % (3823079)Instruction limit reached!
% 11.65/2.34 % (3823079)------------------------------
% 11.65/2.34 % (3823079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823079)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823079)Termination reason: Instruction limit
% 11.65/2.34 % (3823079)Termination phase: Saturation
% 11.65/2.34 % (3823079)Time elapsed: 0.060 s
% 11.65/2.34 % (3823079)Peak memory usage: 89 MB
% 11.65/2.34 % (3823079)Instructions burned: 106 (million)
% 11.65/2.34 % (3823081)Instruction limit reached!
% 11.65/2.34 % (3823081)------------------------------
% 11.65/2.34 % (3823081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823081)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823081)Termination reason: Instruction limit
% 11.65/2.34 % (3823081)Termination phase: Saturation
% 11.65/2.34 % (3823081)Time elapsed: 0.038 s
% 11.65/2.34 % (3823081)Peak memory usage: 90 MB
% 11.65/2.34 % (3823081)Instructions burned: 109 (million)
% 11.65/2.34 % (3823085)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1481632095:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 11.65/2.34 % (3823087)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4093816101:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 11.65/2.34 % (3823086)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2876461835:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.65/2.34 % (3823087)Instruction limit reached!
% 11.65/2.34 % (3823087)------------------------------
% 11.65/2.34 % (3823087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823087)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823087)Termination reason: Instruction limit
% 11.65/2.34 % (3823087)Termination phase: Saturation
% 11.65/2.34 % (3823087)Time elapsed: 0.038 s
% 11.65/2.34 % (3823087)Peak memory usage: 89 MB
% 11.65/2.34 % (3823087)Instructions burned: 135 (million)
% 11.65/2.34 % (3823091)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2435454067:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 11.65/2.34 % (3823085)Instruction limit reached!
% 11.65/2.34 % (3823085)------------------------------
% 11.65/2.34 % (3823085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823085)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823085)Termination reason: Instruction limit
% 11.65/2.34 % (3823085)Termination phase: Saturation
% 11.65/2.34 % (3823085)Time elapsed: 0.152 s
% 11.65/2.34 % (3823085)Peak memory usage: 90 MB
% 11.65/2.34 % (3823085)Instructions burned: 242 (million)
% 11.65/2.34 % (3823093)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3248622668:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 11.65/2.34 % (3823091)Instruction limit reached!
% 11.65/2.34 % (3823091)------------------------------
% 11.65/2.34 % (3823091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823091)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823091)Termination reason: Instruction limit
% 11.65/2.34 % (3823091)Termination phase: Saturation
% 11.65/2.34 % (3823091)Time elapsed: 0.177 s
% 11.65/2.34 % (3823091)Peak memory usage: 96 MB
% 11.65/2.34 % (3823091)Instructions burned: 501 (million)
% 11.65/2.34 % (3823095)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3778158439:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 11.65/2.34 % (3823093)Instruction limit reached!
% 11.65/2.34 % (3823093)------------------------------
% 11.65/2.34 % (3823093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823093)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823093)Termination reason: Instruction limit
% 11.65/2.34 % (3823093)Termination phase: Saturation
% 11.65/2.34 % (3823093)Time elapsed: 0.132 s
% 11.65/2.34 % (3823093)Peak memory usage: 92 MB
% 11.65/2.34 % (3823093)Instructions burned: 192 (million)
% 11.65/2.34 % (3823095)Instruction limit reached!
% 11.65/2.34 % (3823095)------------------------------
% 11.65/2.34 % (3823095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823095)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823095)Termination reason: Instruction limit
% 11.65/2.34 % (3823095)Termination phase: Saturation
% 11.65/2.34 % (3823095)Time elapsed: 0.089 s
% 11.65/2.34 % (3823095)Peak memory usage: 92 MB
% 11.65/2.34 % (3823095)Instructions burned: 266 (million)
% 11.65/2.34 % (3823097)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=987325507:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 11.65/2.34 % (3823055)First to succeed.
% 11.65/2.34 % (3823098)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3802847253:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 11.65/2.34 % (3823055)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3823048"
% 11.65/2.34 % (3823053)Also succeeded, but the first one will report.
% 11.65/2.34 % (3823097)Instruction limit reached!
% 11.65/2.34 % (3823097)------------------------------
% 11.65/2.34 % (3823097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.34 % (3823097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.34 % (3823097)CaDiCaL version: 2.1.3
% 11.65/2.34 % (3823097)Termination reason: Instruction limit
% 11.65/2.34 % (3823097)Termination phase: Saturation
% 11.65/2.34 % (3823097)Time elapsed: 0.106 s
% 11.65/2.34 % (3823097)Peak memory usage: 90 MB
% 11.65/2.34 % (3823097)Instructions burned: 157 (million)
% 11.65/2.34 % (3823101)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1716638474:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 11.65/2.34 % (3823055)Refutation found. Thanks to Tanya!
% 11.65/2.34 % SZS status Unsatisfiable for theBenchmark
% 11.65/2.34 % SZS output start Proof for theBenchmark
% See solution above
% 12.16/2.43 % (3823055)------------------------------
% 12.16/2.43 % (3823055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.16/2.43 % (3823055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.16/2.43 % (3823055)CaDiCaL version: 2.1.3
% 12.16/2.43 % (3823055)Termination reason: Refutation
% 12.16/2.43 % (3823055)Time elapsed: 1.222 s
% 12.16/2.43 % (3823055)Peak memory usage: 137 MB
% 12.16/2.43 % (3823055)Instructions burned: 1855 (million)
% 12.16/2.43 % (3823055)------------------------------
% 12.16/2.43 % (3823055)------------------------------
% 12.16/2.43 % (3823048)Success in time 1.662 s
% 12.16/2.43 % Vampire exiting
%------------------------------------------------------------------------------