%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV751-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:26:20 PM UTC 2026
% Result : Unsatisfiable 1.23s 0.65s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 68 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 16 con; 0-3 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f611,axiom,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X0,X2,X1),hAPP(c_Message_Omsg_OKey,X0)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_secrecy__lemma_0) ).
fof(f614,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = hAPP(c_Public_OshrK,X1)
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
fof(f615,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hAPP(c_Public_OshrK,X1) = X0
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(reorient_equations,[],[f614]) ).
fof(f620,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))
| ~ hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
fof(f621,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) = X0
| ~ hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(reorient_equations,[],[f620]) ).
fof(f672,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(v_K_H,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_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f673,negated_conjecture,
! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f674,negated_conjecture,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f675,negated_conjecture,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f676,negated_conjecture,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f677,negated_conjecture,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f987,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X0,X2,X1),hAPP(c_Message_Omsg_OKey,X0)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))
| hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X4,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X0),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(consistent_polarity_flipping,[],[f611]) ).
fof(f990,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hAPP(c_Public_OshrK,X1) = X0 ),
inference(consistent_polarity_flipping,[],[f615]) ).
fof(f995,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) = X0 ),
inference(consistent_polarity_flipping,[],[f621]) ).
fof(f1009,plain,
~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(v_K_H,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_evs,tc_Event_Oevent),tc_Event_Oevent)),
inference(consistent_polarity_flipping,[],[f672]) ).
fof(f1010,plain,
! [X0] : hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
inference(consistent_polarity_flipping,[],[f673]) ).
fof(f1011,plain,
hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
inference(consistent_polarity_flipping,[],[f674]) ).
fof(f1012,plain,
hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
inference(consistent_polarity_flipping,[],[f675]) ).
fof(f1013,plain,
~ hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(consistent_polarity_flipping,[],[f676]) ).
fof(f1014,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
inference(consistent_polarity_flipping,[],[f677]) ).
fof(f8300,plain,
( hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| v_K_H = hAPP(c_Public_OshrK,v_A) ),
inference(resolution,[],[f990,f1009]) ).
fof(f8305,plain,
v_K_H = hAPP(c_Public_OshrK,v_A),
inference(forward_subsumption_resolution,[],[f8300,f1013]) ).
fof(f8712,plain,
( hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))) ),
inference(resolution,[],[f995,f1009]) ).
fof(f8717,plain,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),
inference(forward_subsumption_resolution,[],[f8712,f1013]) ).
fof(f9194,plain,
! [X0,X1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(resolution,[],[f987,f1010]) ).
fof(f9202,plain,
! [X0,X1] :
( hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(forward_subsumption_resolution,[],[f9194,f1014]) ).
fof(f9205,plain,
! [X0,X1] :
( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(forward_subsumption_resolution,[],[f9202,f1013]) ).
fof(f9599,plain,
( 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_evs,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)) ),
inference(superposition,[],[f9205,f8717]) ).
fof(f9601,plain,
( 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_evs,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)) ),
inference(forward_subsumption_resolution,[],[f9599,f1011]) ).
fof(f9605,plain,
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_evs,tc_Event_Oevent),tc_Event_Oevent)),
inference(forward_subsumption_resolution,[],[f9601,f1012]) ).
fof(f9606,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(v_K_H,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_evs,tc_Event_Oevent),tc_Event_Oevent)),
inference(forward_demodulation,[],[f9605,f8305]) ).
fof(f9607,plain,
$false,
inference(forward_subsumption_resolution,[],[f9606,f1009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV751-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n015.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 12:29:17 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.23/0.65 % (2593768)Will run a generic schedule for satisfiability detection.
% 1.23/0.65 % (2593787)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1223919909:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.23/0.65 % (2593786)% WARNING: option uhcvi not known.
% 1.23/0.65 % (2593785)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3451537736_2999 on theBenchmark for (2999ds/0Mi)
% 1.23/0.65 % (2593786)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1129613571:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.23/0.65 % (2593788)dis+10_1_sil=32000:sp=arity:random_seed=411200876:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.23/0.65 % (2593789)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2163729129:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.23/0.65 % (2593790)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2978938880:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.23/0.65 % (2593791)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1052875005:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.23/0.65 % (2593788)Instruction limit reached!
% 1.23/0.65 % (2593788)------------------------------
% 1.23/0.65 % (2593788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.65 % (2593788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.65 % (2593788)CaDiCaL version: 2.1.3
% 1.23/0.65 % (2593788)Termination reason: Instruction limit
% 1.23/0.65 % (2593788)Termination phase: Saturation
% 1.23/0.65 % (2593788)Time elapsed: 0.066 s
% 1.23/0.65 % (2593788)Peak memory usage: 13 MB
% 1.23/0.65 % (2593788)Instructions burned: 104 (million)
% 1.23/0.65 % (2593790)Instruction limit reached!
% 1.23/0.65 % (2593790)------------------------------
% 1.23/0.65 % (2593790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.65 % (2593790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.65 % (2593790)CaDiCaL version: 2.1.3
% 1.23/0.65 % (2593790)Termination reason: Instruction limit
% 1.23/0.65 % (2593790)Termination phase: Saturation
% 1.23/0.65 % (2593790)Time elapsed: 0.084 s
% 1.23/0.65 % (2593790)Peak memory usage: 13 MB
% 1.23/0.65 % (2593790)Instructions burned: 132 (million)
% 1.23/0.65 % (2593811)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=811888089:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.23/0.65 % (2593791)Instruction limit reached!
% 1.23/0.65 % (2593791)------------------------------
% 1.23/0.65 % (2593791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.65 % (2593791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.65 % (2593791)CaDiCaL version: 2.1.3
% 1.23/0.65 % (2593791)Termination reason: Instruction limit
% 1.23/0.65 % (2593791)Termination phase: Saturation
% 1.23/0.65 % (2593791)Time elapsed: 0.098 s
% 1.23/0.65 % (2593791)Peak memory usage: 13 MB
% 1.23/0.65 % (2593791)Instructions burned: 159 (million)
% 1.23/0.65 % (2593812)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=107226640:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.23/0.65 % (2593789)Instruction limit reached!
% 1.23/0.65 % (2593789)------------------------------
% 1.23/0.65 % (2593789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.65 % (2593789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.65 % (2593789)CaDiCaL version: 2.1.3
% 1.23/0.65 % (2593789)Termination reason: Instruction limit
% 1.23/0.65 % (2593789)Termination phase: Saturation
% 1.23/0.65 % (2593789)Time elapsed: 0.117 s
% 1.23/0.65 % (2593789)Peak memory usage: 12 MB
% 1.23/0.65 % (2593789)Instructions burned: 116 (million)
% 1.23/0.65 % (2593814)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1399347690:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.23/0.65 % (2593817)ott-21_1_sil=16000:fs=off:random_seed=2649010509:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.23/0.65 % (2593812)Instruction limit reached!
% 1.23/0.65 % (2593812)------------------------------
% 1.23/0.65 % (2593812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.65 % (2593812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.65 % (2593812)CaDiCaL version: 2.1.3
% 1.23/0.65 % (2593812)Termination reason: Instruction limit
% 1.23/0.65 % (2593812)Termination phase: Saturation
% 1.23/0.65 % (2593812)Time elapsed: 0.079 s
% 1.23/0.65 % (2593812)Peak memory usage: 13 MB
% 1.23/0.65 % (2593812)Instructions burned: 131 (million)
% 1.23/0.65 % TRYING [1]
% 1.23/0.65 % (2593819)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3475213796:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.23/0.65 % TRYING [2]
% 1.23/0.65 % (2593817)Instruction limit reached!
% 1.23/0.65 % (2593817)------------------------------
% 1.23/0.65 % (2593817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.65 % (2593817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.65 % (2593817)CaDiCaL version: 2.1.3
% 1.23/0.65 % (2593817)Termination reason: Instruction limit
% 1.23/0.65 % (2593817)Termination phase: Saturation
% 1.23/0.65 % (2593817)Time elapsed: 0.107 s
% 1.23/0.65 % (2593817)Peak memory usage: 12 MB
% 1.23/0.65 % (2593817)Instructions burned: 180 (million)
% 1.23/0.65 % (2593821)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2640455672:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.23/0.65 % TRYING [1]
% 1.23/0.65 % TRYING [3]
% 1.23/0.65 % TRYING [2]
% 1.23/0.65 % (2593786) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2593768-2593786"...
% 1.23/0.65 % (2593786)...printing done.
% 1.23/0.65 % (2593786)Refutation found. Thanks to Tanya!
% 1.23/0.65 % SZS status Unsatisfiable for theBenchmark
% 1.23/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.23/0.65 % (2593786)------------------------------
% 1.23/0.65 % (2593786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.65 % (2593786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.65 % (2593786)CaDiCaL version: 2.1.3
% 1.23/0.65 % (2593786)Termination reason: Refutation
% 1.23/0.65 % (2593786)Time elapsed: 0.351 s
% 1.23/0.65 % (2593786)Peak memory usage: 16 MB
% 1.23/0.65 % (2593786)Instructions burned: 520 (million)
% 1.23/0.65 % (2593768)Success in time 0.41 s
% 1.23/0.65 % Vampire exiting
%------------------------------------------------------------------------------