%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV756-1 : 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 : n006.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 4.16s 1.39s
% Output : Refutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 18 unt; 4 def)
% Number of atoms : 67 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 29 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f509,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X0,c_Message_OkeysFor(X1),tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
fof(f529,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
fof(f617,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f618,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f619,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f627,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f628,plain,
v_KAB = v_K,
inference(reorient_equations,[],[f627]) ).
fof(f630,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f674,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(definition_unfolding,[],[f618,f628]) ).
fof(f675,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(definition_unfolding,[],[f619,f628]) ).
fof(f678,plain,
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_evs2)),tc_Message_Omsg)),
inference(definition_unfolding,[],[f630,f628]) ).
fof(f2937,plain,
( ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(resolution,[],[f509,f678]) ).
fof(f2961,definition,
( spl1_21
<=> hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)) ),
introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).
fof(f2962,plain,
( ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| spl1_21 ),
inference(avatar_component_clause,[],[f2961]) ).
fof(f2965,definition,
( spl1_22
<=> hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
introduced(definition,[new_symbols(definition,[spl1_22])],[avatar_definition]) ).
fof(f2966,plain,
( hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| ~ spl1_22 ),
inference(avatar_component_clause,[],[f2965]) ).
fof(f2967,plain,
( spl1_22
| ~ spl1_21 ),
inference(avatar_split_clause,[],[f2937,f2961,f2965]) ).
fof(f2968,plain,
( $false
| spl1_21 ),
inference(resolution,[],[f2962,f675]) ).
fof(f2970,plain,
spl1_21,
inference(avatar_contradiction_clause,[],[f2968]) ).
fof(f3733,plain,
( ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ spl1_22 ),
inference(resolution,[],[f529,f2966]) ).
fof(f3735,definition,
( spl1_33
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl1_33])],[avatar_definition]) ).
fof(f3736,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ spl1_33 ),
inference(avatar_component_clause,[],[f3735]) ).
fof(f3738,definition,
( spl1_34
<=> hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
introduced(definition,[new_symbols(definition,[spl1_34])],[avatar_definition]) ).
fof(f3739,plain,
( ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| spl1_34 ),
inference(avatar_component_clause,[],[f3738]) ).
fof(f3740,plain,
( spl1_33
| ~ spl1_21
| ~ spl1_34
| ~ spl1_22 ),
inference(avatar_split_clause,[],[f3733,f2965,f3738,f2961,f3735]) ).
fof(f3741,plain,
( $false
| spl1_34 ),
inference(resolution,[],[f3739,f617]) ).
fof(f3743,plain,
spl1_34,
inference(avatar_contradiction_clause,[],[f3741]) ).
fof(f3744,plain,
( $false
| ~ spl1_33 ),
inference(resolution,[],[f3736,f674]) ).
fof(f3746,plain,
~ spl1_33,
inference(avatar_contradiction_clause,[],[f3744]) ).
cnf(s14,plain,
( ~ spl1_21
| spl1_22 ),
inference(sat_conversion,[],[f2967]) ).
cnf(s15,plain,
spl1_21,
inference(sat_conversion,[],[f2970]) ).
cnf(s21,plain,
( ~ spl1_21
| ~ spl1_22
| spl1_33
| ~ spl1_34 ),
inference(sat_conversion,[],[f3740]) ).
cnf(s22,plain,
spl1_34,
inference(sat_conversion,[],[f3743]) ).
cnf(s23,plain,
~ spl1_33,
inference(sat_conversion,[],[f3746]) ).
cnf(s24,plain,
( ~ spl1_21
| ~ spl1_22 ),
inference(rat,[],[s21,s22,s23]) ).
cnf(s25,plain,
~ spl1_22,
inference(rat,[],[s24,s15]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s14,s25,s15]) ).
fof(f3747,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.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 12:26:55 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 4.16/1.39 % (3928690)Input is clausal, will run a generic CNF schedule.
% 4.16/1.39 % (3928695)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=3032292705:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.16/1.39 % (3928701)dis-21_1_sil=8000:lcm=predicate:random_seed=1000827954: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)
% 4.16/1.39 % (3928700)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3839812669:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.16/1.39 % (3928698)lrs+10_1_sil=8000:sp=occurrence:random_seed=1772237155:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.16/1.39 % (3928696)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2980145387:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.16/1.39 % (3928697)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3044635069:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.16/1.39 % (3928699)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3926130544:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.16/1.39 % (3928701)First to succeed.
% 4.16/1.39 % (3928701)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3928690"
% 4.16/1.39 % (3928698)Instruction limit reached!
% 4.16/1.39 % (3928698)------------------------------
% 4.16/1.39 % (3928698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.39 % (3928698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.39 % (3928698)CaDiCaL version: 2.1.3
% 4.16/1.39 % (3928698)Termination reason: Instruction limit
% 4.16/1.39 % (3928698)Termination phase: Saturation
% 4.16/1.39 % (3928698)Time elapsed: 0.071 s
% 4.16/1.39 % (3928698)Peak memory usage: 89 MB
% 4.16/1.39 % (3928698)Instructions burned: 108 (million)
% 4.16/1.39 % (3928699)Instruction limit reached!
% 4.16/1.39 % (3928699)------------------------------
% 4.16/1.39 % (3928699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.39 % (3928699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.39 % (3928699)CaDiCaL version: 2.1.3
% 4.16/1.39 % (3928699)Termination reason: Instruction limit
% 4.16/1.39 % (3928699)Termination phase: Saturation
% 4.16/1.39 % (3928699)Time elapsed: 0.074 s
% 4.16/1.39 % (3928699)Peak memory usage: 90 MB
% 4.16/1.39 % (3928699)Instructions burned: 116 (million)
% 4.16/1.39 % (3928700)Instruction limit reached!
% 4.16/1.39 % (3928700)------------------------------
% 4.16/1.39 % (3928700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.39 % (3928700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.39 % (3928700)CaDiCaL version: 2.1.3
% 4.16/1.39 % (3928700)Termination reason: Instruction limit
% 4.16/1.39 % (3928700)Termination phase: Saturation
% 4.16/1.39 % (3928700)Time elapsed: 0.116 s
% 4.16/1.39 % (3928700)Peak memory usage: 90 MB
% 4.16/1.39 % (3928700)Instructions burned: 180 (million)
% 4.16/1.39 % (3928709)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=696693423:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.16/1.39 % (3928710)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1976390438: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)
% 4.16/1.39 % (3928711)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2964472937:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.16/1.39 % (3928711)Also succeeded, but the first one will report.
% 4.16/1.39 % (3928701)Refutation found. Thanks to Tanya!
% 4.16/1.39 % SZS status Unsatisfiable for theBenchmark
% 4.16/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 4.16/1.39 % (3928701)------------------------------
% 4.16/1.39 % (3928701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.39 % (3928701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.39 % (3928701)CaDiCaL version: 2.1.3
% 4.16/1.39 % (3928701)Termination reason: Refutation
% 4.16/1.39 % (3928701)Time elapsed: 0.070 s
% 4.16/1.39 % (3928701)Peak memory usage: 91 MB
% 4.16/1.39 % (3928701)Instructions burned: 115 (million)
% 4.16/1.39 % (3928701)------------------------------
% 4.16/1.39 % (3928701)------------------------------
% 4.16/1.39 % (3928690)Success in time 0.526 s
% 4.16/1.39 % Vampire exiting
%------------------------------------------------------------------------------