%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV761-1 : 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 : n011.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 01:19:26 PM UTC 2026
% Result : Unsatisfiable 7.71s 1.67s
% Output : Refutation 9.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 59
% Syntax : Number of formulae : 197 ( 105 unt; 38 def)
% Number of atoms : 320 ( 96 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 225 ( 102 ~; 117 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 65 ( 65 usr; 47 con; 0-3 aty)
% Number of variables : 86 ( 0 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X1))
| X2 = X1
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X1 = X2
| hBOOL(hAPP(X0,X1)) ),
inference(reorient_equations,[],[f55]) ).
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(f251,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg))
| ~ hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_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(f298,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2))
| hBOOL(c_in(X0,X3,X2))
| hBOOL(c_in(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_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] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg))
| c_Message_Osynth(c_Message_Oanalz(X1)) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,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(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(f539,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Osynth(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_Key__synth_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(f578,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
fof(f579,axiom,
! [X0,X1] :
( hBOOL(c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,X1,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OInj_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_Oanalz(X1),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(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,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_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))
| 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_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_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f682,plain,
c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa) = sF7,
inference(reorient_equations,[],[f681]) ).
fof(f683,definition,
sF8 = c_List_Olist_OCons(sF7,v_evsf,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f684,plain,
c_List_Olist_OCons(sF7,v_evsf,tc_Event_Oevent) = sF8,
inference(reorient_equations,[],[f683]) ).
fof(f685,definition,
sF9 = c_Event_Oknows(c_Message_Oagent_OSpy,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f686,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,sF8) = sF9,
inference(reorient_equations,[],[f685]) ).
fof(f687,definition,
sF10 = c_Message_Oanalz(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f688,plain,
c_Message_Oanalz(sF9) = sF10,
inference(reorient_equations,[],[f687]) ).
fof(f689,definition,
sF11 = c_in(sF6,sF10,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f690,plain,
c_in(sF6,sF10,tc_Message_Omsg) = sF11,
inference(reorient_equations,[],[f689]) ).
fof(f691,plain,
~ hBOOL(sF11),
inference(definition_folding,[],[f610,f690,f688,f686,f684,f682,f680]) ).
fof(f692,definition,
sF12 = hAPP(c_Public_OshrK,v_A),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f693,plain,
hAPP(c_Public_OshrK,v_A) = sF12,
inference(reorient_equations,[],[f692]) ).
fof(f694,definition,
sF13 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f695,plain,
c_Message_Omsg_OAgent(v_B) = sF13,
inference(reorient_equations,[],[f694]) ).
fof(f696,definition,
sF14 = c_Message_Omsg_OMPair(sF6,v_X),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f697,plain,
c_Message_Omsg_OMPair(sF6,v_X) = sF14,
inference(reorient_equations,[],[f696]) ).
fof(f698,definition,
sF15 = c_Message_Omsg_OMPair(sF13,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f699,plain,
c_Message_Omsg_OMPair(sF13,sF14) = sF15,
inference(reorient_equations,[],[f698]) ).
fof(f700,definition,
sF16 = c_Message_Omsg_OMPair(v_NA,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f701,plain,
c_Message_Omsg_OMPair(v_NA,sF15) = sF16,
inference(reorient_equations,[],[f700]) ).
fof(f702,definition,
sF17 = c_Message_Omsg_OCrypt(sF12,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f703,plain,
c_Message_Omsg_OCrypt(sF12,sF16) = sF17,
inference(reorient_equations,[],[f702]) ).
fof(f704,definition,
sF18 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f705,plain,
c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,sF17) = sF18,
inference(reorient_equations,[],[f704]) ).
fof(f706,definition,
sF19 = c_List_Oset(sF8,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f707,plain,
c_List_Oset(sF8,tc_Event_Oevent) = sF19,
inference(reorient_equations,[],[f706]) ).
fof(f708,definition,
sF20 = c_in(sF18,sF19,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f709,plain,
c_in(sF18,sF19,tc_Event_Oevent) = sF20,
inference(reorient_equations,[],[f708]) ).
fof(f710,plain,
hBOOL(sF20),
inference(definition_folding,[],[f611,f709,f707,f684,f682,f705,f703,f701,f699,f697,f680,f695,f693]) ).
fof(f711,definition,
sF21 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f712,plain,
c_Message_Omsg_ONonce(v_NB) = sF21,
inference(reorient_equations,[],[f711]) ).
fof(f713,definition,
sF22 = c_Message_Omsg_OCrypt(v_K,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f714,plain,
c_Message_Omsg_OCrypt(v_K,sF21) = sF22,
inference(reorient_equations,[],[f713]) ).
fof(f715,definition,
sF23 = c_Message_Oparts(sF9),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f716,plain,
c_Message_Oparts(sF9) = sF23,
inference(reorient_equations,[],[f715]) ).
fof(f717,definition,
sF24 = c_in(sF22,sF23,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f718,plain,
c_in(sF22,sF23,tc_Message_Omsg) = sF24,
inference(reorient_equations,[],[f717]) ).
fof(f719,plain,
hBOOL(sF24),
inference(definition_folding,[],[f612,f718,f716,f686,f684,f682,f714,f712]) ).
fof(f720,definition,
! [X0] : sF25(X0) = c_Event_Oevent_OSays(X0,v_B,v_X),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f721,plain,
! [X0] : c_Event_Oevent_OSays(X0,v_B,v_X) = sF25(X0),
inference(reorient_equations,[],[f720]) ).
fof(f722,definition,
! [X0] : sF26(X0) = c_in(sF25(X0),sF19,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f723,plain,
! [X0] : c_in(sF25(X0),sF19,tc_Event_Oevent) = sF26(X0),
inference(reorient_equations,[],[f722]) ).
fof(f724,plain,
! [X0] : ~ hBOOL(sF26(X0)),
inference(definition_folding,[],[f613,f723,f707,f684,f682,f721]) ).
fof(f725,definition,
sF27 = c_Event_Oevent_OSays(v_x,v_B,v_X),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f726,plain,
c_Event_Oevent_OSays(v_x,v_B,v_X) = sF27,
inference(reorient_equations,[],[f725]) ).
fof(f727,definition,
sF28 = c_List_Oset(v_evsf,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f728,plain,
c_List_Oset(v_evsf,tc_Event_Oevent) = sF28,
inference(reorient_equations,[],[f727]) ).
fof(f729,definition,
sF29 = c_in(sF27,sF28,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f730,plain,
c_in(sF27,sF28,tc_Event_Oevent) = sF29,
inference(reorient_equations,[],[f729]) ).
fof(f731,definition,
sF30 = c_Message_Oparts(sF2),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f732,plain,
c_Message_Oparts(sF2) = sF30,
inference(reorient_equations,[],[f731]) ).
fof(f733,definition,
sF31 = c_in(sF22,sF30,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f734,plain,
c_in(sF22,sF30,tc_Message_Omsg) = sF31,
inference(reorient_equations,[],[f733]) ).
fof(f735,definition,
sF32 = c_in(sF18,sF28,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f736,plain,
c_in(sF18,sF28,tc_Event_Oevent) = sF32,
inference(reorient_equations,[],[f735]) ).
fof(f737,definition,
sF33 = c_in(sF6,sF3,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f738,plain,
c_in(sF6,sF3,tc_Message_Omsg) = sF33,
inference(reorient_equations,[],[f737]) ).
fof(f739,plain,
( hBOOL(sF29)
| ~ hBOOL(sF31)
| ~ hBOOL(sF32)
| hBOOL(sF33) ),
inference(definition_folding,[],[f614,f738,f673,f671,f680,f736,f728,f705,f703,f701,f699,f697,f680,f695,f693,f734,f732,f671,f714,f712,f730,f728,f726]) ).
fof(f745,definition,
( spl34_1
<=> hBOOL(sF33) ),
introduced(definition,[new_symbols(definition,[spl34_1])],[avatar_definition]) ).
fof(f746,plain,
( ~ hBOOL(sF33)
| spl34_1 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f747,plain,
( hBOOL(sF33)
| ~ spl34_1 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f749,definition,
( spl34_2
<=> hBOOL(sF32) ),
introduced(definition,[new_symbols(definition,[spl34_2])],[avatar_definition]) ).
fof(f751,plain,
( ~ hBOOL(sF32)
| spl34_2 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f753,definition,
( spl34_3
<=> hBOOL(sF31) ),
introduced(definition,[new_symbols(definition,[spl34_3])],[avatar_definition]) ).
fof(f755,plain,
( ~ hBOOL(sF31)
| spl34_3 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f757,definition,
( spl34_4
<=> hBOOL(sF29) ),
introduced(definition,[new_symbols(definition,[spl34_4])],[avatar_definition]) ).
fof(f759,plain,
( hBOOL(sF29)
| ~ spl34_4 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f760,plain,
( spl34_1
| ~ spl34_2
| ~ spl34_3
| spl34_4 ),
inference(avatar_split_clause,[],[f739,f757,f753,f749,f745]) ).
fof(f767,plain,
sF27 = sF25(v_x),
inference(forward_demodulation,[],[f726,f721]) ).
fof(f768,plain,
sF26(v_x) = c_in(sF27,sF19,tc_Event_Oevent),
inference(superposition,[],[f723,f767]) ).
fof(f771,plain,
! [X0] :
( ~ hBOOL(c_in(X0,c_Message_Osynth(sF3),tc_Message_Omsg))
| c_Message_Osynth(sF3) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,sF2,tc_Message_Omsg))) ),
inference(superposition,[],[f419,f673]) ).
fof(f772,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF4,tc_Message_Omsg))
| c_Message_Osynth(sF3) = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,sF2,tc_Message_Omsg))) ),
inference(forward_demodulation,[],[f771,f675]) ).
fof(f773,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF4,tc_Message_Omsg))
| sF4 = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X0,sF2,tc_Message_Omsg))) ),
inference(forward_demodulation,[],[f772,f675]) ).
fof(f775,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(sF7,X0,tc_Event_Oevent)),
inference(superposition,[],[f443,f682]) ).
fof(f779,plain,
! [X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),sF4,tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),sF3,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),sF3,tc_Message_Omsg)) ),
inference(superposition,[],[f587,f675]) ).
fof(f787,plain,
( hBOOL(sF11)
| ~ hBOOL(hAPP(sF10,sF6)) ),
inference(superposition,[],[f565,f690]) ).
fof(f790,plain,
( hBOOL(sF32)
| ~ hBOOL(hAPP(sF28,sF18)) ),
inference(superposition,[],[f565,f736]) ).
fof(f814,plain,
~ hBOOL(hAPP(sF10,sF6)),
inference(forward_subsumption_resolution,[],[f787,f691]) ).
fof(f821,plain,
( ~ hBOOL(sF20)
| hBOOL(hAPP(sF19,sF18)) ),
inference(superposition,[],[f566,f709]) ).
fof(f831,plain,
hBOOL(hAPP(sF19,sF18)),
inference(forward_subsumption_resolution,[],[f821,f710]) ).
fof(f897,plain,
! [X2,X0,X1] :
( c_Event_Oevent_OSays(X0,X1,X2) != sF18
| c_Message_Oagent_OServer = X0 ),
inference(superposition,[],[f518,f705]) ).
fof(f903,plain,
c_List_Oset(sF8,tc_Event_Oevent) = c_Set_Oinsert(sF7,c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
inference(superposition,[],[f225,f684]) ).
fof(f906,plain,
c_List_Oset(sF8,tc_Event_Oevent) = c_Set_Oinsert(sF7,sF28,tc_Event_Oevent),
inference(forward_demodulation,[],[f903,f728]) ).
fof(f907,plain,
sF19 = c_Set_Oinsert(sF7,sF28,tc_Event_Oevent),
inference(forward_demodulation,[],[f906,f707]) ).
fof(f910,plain,
! [X0] :
( ~ hBOOL(hAPP(sF19,X0))
| sF7 = X0
| hBOOL(hAPP(sF28,X0)) ),
inference(superposition,[],[f56,f907]) ).
fof(f968,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Message_Osynth(X1),hAPP(c_Message_Omsg_OKey,X0)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)) ),
inference(resolution,[],[f539,f565]) ).
fof(f981,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF3,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(sF2),tc_Message_Omsg)) ),
inference(superposition,[],[f607,f673]) ).
fof(f984,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF3,tc_Message_Omsg))
| hBOOL(c_in(X0,sF30,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f981,f732]) ).
fof(f986,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,sF8) = c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),
inference(superposition,[],[f775,f684]) ).
fof(f987,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,sF8) = c_Set_Oinsert(v_Xa,sF2,tc_Message_Omsg),
inference(forward_demodulation,[],[f986,f671]) ).
fof(f989,plain,
sF9 = c_Set_Oinsert(v_Xa,sF2,tc_Message_Omsg),
inference(forward_demodulation,[],[f987,f686]) ).
fof(f1326,definition,
( spl34_22
<=> hBOOL(c_in(sF22,sF4,tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl34_22])],[avatar_definition]) ).
fof(f1327,plain,
( ~ hBOOL(c_in(sF22,sF4,tc_Message_Omsg))
| spl34_22 ),
inference(avatar_component_clause,[],[f1326]) ).
fof(f1330,definition,
( spl34_23
<=> hBOOL(c_in(sF22,sF3,tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl34_23])],[avatar_definition]) ).
fof(f1331,plain,
( hBOOL(c_in(sF22,sF3,tc_Message_Omsg))
| ~ spl34_23 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1332,plain,
( ~ hBOOL(c_in(sF22,sF3,tc_Message_Omsg))
| spl34_23 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1359,plain,
( ~ hBOOL(sF5)
| sF4 = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,sF2,tc_Message_Omsg))) ),
inference(superposition,[],[f773,f677]) ).
fof(f1360,plain,
sF4 = c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(v_Xa,sF2,tc_Message_Omsg))),
inference(forward_subsumption_resolution,[],[f1359,f678]) ).
fof(f1361,plain,
sF4 = c_Message_Osynth(c_Message_Oanalz(sF9)),
inference(forward_demodulation,[],[f1360,f989]) ).
fof(f1362,plain,
sF4 = c_Message_Osynth(sF10),
inference(forward_demodulation,[],[f1361,f688]) ).
fof(f1414,plain,
( sF7 != sF18
| c_Message_Oagent_OSpy = c_Message_Oagent_OServer ),
inference(superposition,[],[f897,f682]) ).
fof(f1416,plain,
sF7 != sF18,
inference(forward_subsumption_resolution,[],[f1414,f578]) ).
fof(f1508,plain,
( ~ hBOOL(c_in(sF22,sF4,tc_Message_Omsg))
| hBOOL(c_in(sF22,sF3,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),sF3,tc_Message_Omsg)) ),
inference(superposition,[],[f779,f714]) ).
fof(f1511,plain,
( ~ hBOOL(c_in(sF22,sF4,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),sF3,tc_Message_Omsg))
| spl34_23 ),
inference(forward_subsumption_resolution,[],[f1508,f1332]) ).
fof(f1521,plain,
( hBOOL(c_in(sF6,sF3,tc_Message_Omsg))
| ~ hBOOL(c_in(sF22,sF4,tc_Message_Omsg))
| spl34_23 ),
inference(forward_demodulation,[],[f1511,f680]) ).
fof(f1522,plain,
( hBOOL(sF33)
| ~ hBOOL(c_in(sF22,sF4,tc_Message_Omsg))
| spl34_23 ),
inference(forward_demodulation,[],[f1521,f738]) ).
fof(f1523,plain,
( ~ hBOOL(c_in(sF22,sF4,tc_Message_Omsg))
| spl34_1
| spl34_23 ),
inference(forward_subsumption_resolution,[],[f1522,f746]) ).
fof(f1524,plain,
( ~ spl34_22
| spl34_1
| spl34_23 ),
inference(avatar_split_clause,[],[f1523,f1330,f745,f1326]) ).
fof(f1813,plain,
( sF7 = sF18
| hBOOL(hAPP(sF28,sF18)) ),
inference(resolution,[],[f831,f910]) ).
fof(f1836,plain,
! [X0,X1] :
( ~ hBOOL(c_in(X0,X1,tc_Message_Omsg))
| hBOOL(hAPP(c_Message_Osynth(X1),X0)) ),
inference(resolution,[],[f579,f566]) ).
fof(f1862,plain,
( ~ hBOOL(sF33)
| hBOOL(hAPP(c_Message_Osynth(sF3),sF6)) ),
inference(superposition,[],[f1836,f738]) ).
fof(f2169,plain,
! [X0] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),sF10,tc_Message_Omsg))
| ~ hBOOL(hAPP(sF4,hAPP(c_Message_Omsg_OKey,X0))) ),
inference(superposition,[],[f968,f1362]) ).
fof(f2176,plain,
! [X0] :
( ~ hBOOL(hAPP(sF4,hAPP(c_Message_Omsg_OKey,X0)))
| hBOOL(hAPP(sF10,hAPP(c_Message_Omsg_OKey,X0))) ),
inference(resolution,[],[f2169,f566]) ).
fof(f2181,plain,
( ~ hBOOL(hAPP(sF4,sF6))
| hBOOL(hAPP(sF10,sF6)) ),
inference(superposition,[],[f2176,f680]) ).
fof(f2484,plain,
! [X0] :
( ~ hBOOL(c_in(X0,c_Message_Oparts(sF9),tc_Message_Omsg))
| ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(sF2)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF2)),c_Message_Oparts(sF2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(superposition,[],[f251,f989]) ).
fof(f2485,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF23,tc_Message_Omsg))
| ~ hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(sF2)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF2)),c_Message_Oparts(sF2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f2484,f716]) ).
fof(f2486,plain,
! [X0] :
( ~ hBOOL(c_in(v_Xa,c_Message_Osynth(sF3),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,sF23,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF2)),c_Message_Oparts(sF2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f2485,f673]) ).
fof(f2487,plain,
! [X0] :
( ~ hBOOL(c_in(v_Xa,sF4,tc_Message_Omsg))
| ~ hBOOL(c_in(X0,sF23,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF2)),c_Message_Oparts(sF2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f2486,f675]) ).
fof(f2488,plain,
! [X0] :
( ~ hBOOL(sF5)
| ~ hBOOL(c_in(X0,sF23,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF2)),c_Message_Oparts(sF2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f2487,f677]) ).
fof(f2489,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF23,tc_Message_Omsg))
| hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF2)),c_Message_Oparts(sF2),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)) ),
inference(forward_subsumption_resolution,[],[f2488,f678]) ).
fof(f2490,plain,
! [X0] :
( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF2)),sF30,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,sF23,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f2489,f732]) ).
fof(f2491,plain,
! [X0] :
( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(sF3),sF30,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,sF23,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f2490,f673]) ).
fof(f2492,plain,
! [X0] :
( hBOOL(c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(sF4,sF30,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,sF23,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f2491,f675]) ).
fof(f3153,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF28,tc_Event_Oevent))
| hBOOL(c_in(X0,sF19,tc_Event_Oevent)) ),
inference(superposition,[],[f290,f907]) ).
fof(f3160,plain,
( ~ hBOOL(sF29)
| hBOOL(c_in(sF27,sF19,tc_Event_Oevent)) ),
inference(superposition,[],[f3153,f730]) ).
fof(f3318,plain,
! [X0] :
( ~ hBOOL(c_in(X0,sF23,tc_Message_Omsg))
| hBOOL(c_in(X0,sF30,tc_Message_Omsg))
| hBOOL(c_in(X0,sF4,tc_Message_Omsg)) ),
inference(resolution,[],[f298,f2492]) ).
fof(f3332,plain,
( ~ hBOOL(sF24)
| hBOOL(c_in(sF22,sF30,tc_Message_Omsg))
| hBOOL(c_in(sF22,sF4,tc_Message_Omsg)) ),
inference(superposition,[],[f3318,f718]) ).
fof(f3333,plain,
( hBOOL(c_in(sF22,sF30,tc_Message_Omsg))
| hBOOL(c_in(sF22,sF4,tc_Message_Omsg)) ),
inference(forward_subsumption_resolution,[],[f3332,f719]) ).
fof(f3335,plain,
( hBOOL(c_in(sF22,sF30,tc_Message_Omsg))
| spl34_22 ),
inference(forward_subsumption_resolution,[],[f3333,f1327]) ).
fof(f3336,plain,
( hBOOL(sF31)
| spl34_22 ),
inference(forward_demodulation,[],[f3335,f734]) ).
fof(f3337,plain,
( $false
| spl34_3
| spl34_22 ),
inference(forward_subsumption_resolution,[],[f3336,f755]) ).
fof(f3338,plain,
( spl34_3
| spl34_22 ),
inference(avatar_contradiction_clause,[],[f3337]) ).
fof(f3352,plain,
( hBOOL(c_in(sF22,sF30,tc_Message_Omsg))
| ~ spl34_23 ),
inference(resolution,[],[f1331,f984]) ).
fof(f3364,plain,
( hBOOL(sF31)
| ~ spl34_23 ),
inference(forward_demodulation,[],[f3352,f734]) ).
fof(f3369,plain,
( $false
| spl34_3
| ~ spl34_23 ),
inference(forward_subsumption_resolution,[],[f3364,f755]) ).
fof(f3370,plain,
( spl34_3
| ~ spl34_23 ),
inference(avatar_contradiction_clause,[],[f3369]) ).
fof(f3388,plain,
( hBOOL(hAPP(c_Message_Osynth(sF3),sF6))
| ~ spl34_1 ),
inference(forward_subsumption_resolution,[],[f1862,f747]) ).
fof(f3390,plain,
~ hBOOL(hAPP(sF4,sF6)),
inference(forward_subsumption_resolution,[],[f2181,f814]) ).
fof(f3402,plain,
( hBOOL(hAPP(sF4,sF6))
| ~ spl34_1 ),
inference(forward_demodulation,[],[f3388,f675]) ).
fof(f3409,plain,
( $false
| ~ spl34_1 ),
inference(forward_subsumption_resolution,[],[f3402,f3390]) ).
fof(f3410,plain,
~ spl34_1,
inference(avatar_contradiction_clause,[],[f3409]) ).
fof(f3417,plain,
( hBOOL(c_in(sF27,sF19,tc_Event_Oevent))
| ~ spl34_4 ),
inference(forward_subsumption_resolution,[],[f3160,f759]) ).
fof(f3429,plain,
( hBOOL(sF26(v_x))
| ~ spl34_4 ),
inference(forward_demodulation,[],[f3417,f768]) ).
fof(f3435,plain,
( $false
| ~ spl34_4 ),
inference(forward_subsumption_resolution,[],[f3429,f724]) ).
fof(f3436,plain,
~ spl34_4,
inference(avatar_contradiction_clause,[],[f3435]) ).
fof(f3437,plain,
( ~ hBOOL(hAPP(sF28,sF18))
| spl34_2 ),
inference(forward_subsumption_resolution,[],[f790,f751]) ).
fof(f3439,plain,
hBOOL(hAPP(sF28,sF18)),
inference(forward_subsumption_resolution,[],[f1813,f1416]) ).
fof(f3487,plain,
( $false
| spl34_2 ),
inference(forward_subsumption_resolution,[],[f3439,f3437]) ).
fof(f3488,plain,
spl34_2,
inference(avatar_contradiction_clause,[],[f3487]) ).
cnf(s1,plain,
( spl34_1
| ~ spl34_2
| ~ spl34_3
| spl34_4 ),
inference(sat_conversion,[],[f760]) ).
cnf(s23,plain,
( spl34_1
| ~ spl34_22
| spl34_23 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s57,plain,
( spl34_3
| spl34_22 ),
inference(sat_conversion,[],[f3338]) ).
cnf(s61,plain,
( spl34_3
| ~ spl34_23 ),
inference(sat_conversion,[],[f3370]) ).
cnf(s67,plain,
~ spl34_1,
inference(sat_conversion,[],[f3410]) ).
cnf(s72,plain,
~ spl34_4,
inference(sat_conversion,[],[f3436]) ).
cnf(s81,plain,
spl34_2,
inference(sat_conversion,[],[f3488]) ).
cnf(s89,plain,
( ~ spl34_22
| spl34_23 ),
inference(rat,[],[s23,s67]) ).
cnf(s94,plain,
~ spl34_3,
inference(rat,[],[s1,s72,s81,s67]) ).
cnf(s95,plain,
~ spl34_23,
inference(rat,[],[s61,s94]) ).
cnf(s96,plain,
spl34_22,
inference(rat,[],[s57,s94]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s89,s95,s96]) ).
fof(f3490,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV761-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n011.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 12:29:16 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 7.71/1.67 % (3357726)Input is clausal, will run a generic CNF schedule.
% 7.71/1.67 % (3357736)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=293124100:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.71/1.67 % (3357733)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1344784987:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.71/1.67 % (3357731)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=2360953011:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.71/1.67 % (3357735)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=488914482:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.71/1.67 % (3357734)lrs+10_1_sil=8000:sp=occurrence:random_seed=3113585333:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.71/1.67 % (3357737)dis-21_1_sil=8000:lcm=predicate:random_seed=1166042474: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)
% 7.71/1.67 % (3357732)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3174327552:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.71/1.67 % (3357736)Instruction limit reached!
% 7.71/1.67 % (3357736)------------------------------
% 7.71/1.67 % (3357736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357736)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357736)Termination reason: Instruction limit
% 7.71/1.67 % (3357736)Termination phase: Saturation
% 7.71/1.67 % (3357736)Time elapsed: 0.063 s
% 7.71/1.67 % (3357736)Peak memory usage: 90 MB
% 7.71/1.67 % (3357736)Instructions burned: 183 (million)
% 7.71/1.67 % (3357734)Instruction limit reached!
% 7.71/1.67 % (3357734)------------------------------
% 7.71/1.67 % (3357734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357734)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357734)Termination reason: Instruction limit
% 7.71/1.67 % (3357734)Termination phase: Saturation
% 7.71/1.67 % (3357734)Time elapsed: 0.069 s
% 7.71/1.67 % (3357734)Peak memory usage: 89 MB
% 7.71/1.67 % (3357734)Instructions burned: 107 (million)
% 7.71/1.67 % (3357737)Instruction limit reached!
% 7.71/1.67 % (3357737)------------------------------
% 7.71/1.67 % (3357737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357737)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357737)Termination reason: Instruction limit
% 7.71/1.67 % (3357737)Termination phase: Saturation
% 7.71/1.67 % (3357737)Time elapsed: 0.070 s
% 7.71/1.67 % (3357737)Peak memory usage: 89 MB
% 7.71/1.67 % (3357737)Instructions burned: 118 (million)
% 7.71/1.67 % (3357735)Instruction limit reached!
% 7.71/1.67 % (3357735)------------------------------
% 7.71/1.67 % (3357735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357735)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357735)Termination reason: Instruction limit
% 7.71/1.67 % (3357735)Termination phase: Saturation
% 7.71/1.67 % (3357735)Time elapsed: 0.077 s
% 7.71/1.67 % (3357735)Peak memory usage: 89 MB
% 7.71/1.67 % (3357735)Instructions burned: 114 (million)
% 7.71/1.67 % (3357745)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=1139864256:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.71/1.67 % (3357745)Instruction limit reached!
% 7.71/1.67 % (3357745)------------------------------
% 7.71/1.67 % (3357745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357745)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357745)Termination reason: Instruction limit
% 7.71/1.67 % (3357745)Termination phase: Saturation
% 7.71/1.67 % (3357745)Time elapsed: 0.049 s
% 7.71/1.67 % (3357745)Peak memory usage: 89 MB
% 7.71/1.67 % (3357745)Instructions burned: 145 (million)
% 7.71/1.67 % (3357747)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=401858682:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.71/1.67 % (3357746)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3773846951: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)
% 7.71/1.67 % (3357748)lrs+10_64_to=lpo:sil=8000:random_seed=1628399770:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.71/1.67 % (3357750)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3833138848:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.71/1.67 % (3357748)Instruction limit reached!
% 7.71/1.67 % (3357748)------------------------------
% 7.71/1.67 % (3357748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357748)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357748)Termination reason: Instruction limit
% 7.71/1.67 % (3357748)Termination phase: Saturation
% 7.71/1.67 % (3357748)Time elapsed: 0.079 s
% 7.71/1.67 % (3357748)Peak memory usage: 90 MB
% 7.71/1.67 % (3357748)Instructions burned: 127 (million)
% 7.71/1.67 % (3357746)Instruction limit reached!
% 7.71/1.67 % (3357746)------------------------------
% 7.71/1.67 % (3357746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357746)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357746)Termination reason: Instruction limit
% 7.71/1.67 % (3357746)Termination phase: Saturation
% 7.71/1.67 % (3357746)Time elapsed: 0.106 s
% 7.71/1.67 % (3357746)Peak memory usage: 90 MB
% 7.71/1.67 % (3357746)Instructions burned: 190 (million)
% 7.71/1.67 % (3357747)Instruction limit reached!
% 7.71/1.67 % (3357747)------------------------------
% 7.71/1.67 % (3357747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357747)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357747)Termination reason: Instruction limit
% 7.71/1.67 % (3357747)Termination phase: Saturation
% 7.71/1.67 % (3357747)Time elapsed: 0.132 s
% 7.71/1.67 % (3357747)Peak memory usage: 90 MB
% 7.71/1.67 % (3357747)Instructions burned: 220 (million)
% 7.71/1.67 % (3357750)Instruction limit reached!
% 7.71/1.67 % (3357750)------------------------------
% 7.71/1.67 % (3357750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357750)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357750)Termination reason: Instruction limit
% 7.71/1.67 % (3357750)Termination phase: Saturation
% 7.71/1.67 % (3357750)Time elapsed: 0.060 s
% 7.71/1.67 % (3357750)Peak memory usage: 90 MB
% 7.71/1.67 % (3357750)Instructions burned: 197 (million)
% 7.71/1.67 % (3357755)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1608554079:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.71/1.67 % (3357756)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2771862093:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.71/1.67 % (3357758)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=300642963:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 7.71/1.67 % (3357757)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=263738625:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.71/1.67 % (3357758)Instruction limit reached!
% 7.71/1.67 % (3357758)------------------------------
% 7.71/1.67 % (3357758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357758)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357758)Termination reason: Instruction limit
% 7.71/1.67 % (3357758)Termination phase: Saturation
% 7.71/1.67 % (3357758)Time elapsed: 0.037 s
% 7.71/1.67 % (3357758)Peak memory usage: 90 MB
% 7.71/1.67 % (3357758)Instructions burned: 109 (million)
% 7.71/1.67 % (3357757)Instruction limit reached!
% 7.71/1.67 % (3357757)------------------------------
% 7.71/1.67 % (3357757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357757)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357757)Termination reason: Instruction limit
% 7.71/1.67 % (3357757)Termination phase: Saturation
% 7.71/1.67 % (3357757)Time elapsed: 0.059 s
% 7.71/1.67 % (3357757)Peak memory usage: 90 MB
% 7.71/1.67 % (3357757)Instructions burned: 107 (million)
% 7.71/1.67 % (3357755)Instruction limit reached!
% 7.71/1.67 % (3357755)------------------------------
% 7.71/1.67 % (3357755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357755)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357755)Termination reason: Instruction limit
% 7.71/1.67 % (3357755)Termination phase: Saturation
% 7.71/1.67 % (3357755)Time elapsed: 0.105 s
% 7.71/1.67 % (3357755)Peak memory usage: 91 MB
% 7.71/1.67 % (3357755)Instructions burned: 157 (million)
% 7.71/1.67 % (3357763)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1747042513:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.71/1.67 % (3357764)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1507099570:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.71/1.67 % (3357765)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3634088315:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 7.71/1.67 % (3357765)Instruction limit reached!
% 7.71/1.67 % (3357765)------------------------------
% 7.71/1.67 % (3357765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357765)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357765)Termination reason: Instruction limit
% 7.71/1.67 % (3357765)Termination phase: Saturation
% 7.71/1.67 % (3357765)Time elapsed: 0.069 s
% 7.71/1.67 % (3357765)Peak memory usage: 89 MB
% 7.71/1.67 % (3357765)Instructions burned: 135 (million)
% 7.71/1.67 % (3357763)Instruction limit reached!
% 7.71/1.67 % (3357763)------------------------------
% 7.71/1.67 % (3357763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.71/1.67 % (3357763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.67 % (3357763)CaDiCaL version: 2.1.3
% 7.71/1.67 % (3357763)Termination reason: Instruction limit
% 7.71/1.67 % (3357763)Termination phase: Saturation
% 7.71/1.67 % (3357763)Time elapsed: 0.146 s
% 7.71/1.67 % (3357763)Peak memory usage: 90 MB
% 7.71/1.67 % (3357763)Instructions burned: 243 (million)
% 7.71/1.67 % (3357731)First to succeed.
% 7.71/1.67 % (3357731)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3357726"
% 7.71/1.67 % (3357769)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1553763750:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.71/1.67 % (3357770)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=389265035:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 7.71/1.67 % (3357731)Refutation found. Thanks to Tanya!
% 7.71/1.67 % SZS status Unsatisfiable for theBenchmark
% 7.71/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 9.18/1.85 % (3357731)------------------------------
% 9.18/1.85 % (3357731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.18/1.85 % (3357731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.18/1.85 % (3357731)CaDiCaL version: 2.1.3
% 9.18/1.85 % (3357731)Termination reason: Refutation
% 9.18/1.85 % (3357731)Time elapsed: 0.921 s
% 9.18/1.85 % (3357731)Peak memory usage: 137 MB
% 9.18/1.85 % (3357731)Instructions burned: 1886 (million)
% 9.18/1.85 % (3357731)------------------------------
% 9.18/1.85 % (3357731)------------------------------
% 9.18/1.85 % (3357726)Success in time 1.255 s
% 9.18/1.85 % Vampire exiting
%------------------------------------------------------------------------------