%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV763-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 3.76s 1.33s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f525,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/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
fof(f544,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/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
fof(f636,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f637,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f638,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f649,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f751,plain,
( ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(resolution,[],[f649,f525]) ).
fof(f754,plain,
hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(forward_subsumption_resolution,[],[f751,f638]) ).
fof(f959,plain,
( ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
inference(resolution,[],[f754,f544]) ).
fof(f961,plain,
( ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
inference(forward_subsumption_resolution,[],[f959,f636]) ).
fof(f962,plain,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(forward_subsumption_resolution,[],[f961,f638]) ).
fof(f963,plain,
$false,
inference(forward_subsumption_resolution,[],[f962,f637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV763-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n001.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 12:35:04 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.76/1.33 % (316693)Input is clausal, will run a generic CNF schedule.
% 3.76/1.33 % (316704)dis-21_1_sil=8000:lcm=predicate:random_seed=352467903: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)
% 3.76/1.33 % (316699)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2160631946:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.76/1.33 % (316702)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2749118345:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.76/1.33 % (316700)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=84127950:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.76/1.33 % (316698)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=1640085617:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.76/1.33 % (316701)lrs+10_1_sil=8000:sp=occurrence:random_seed=810465839:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.76/1.33 % (316703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2517710344:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.76/1.33 % (316704)Instruction limit reached!
% 3.76/1.33 % (316704)------------------------------
% 3.76/1.33 % (316704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.33 % (316704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.33 % (316704)CaDiCaL version: 2.1.3
% 3.76/1.33 % (316704)Termination reason: Instruction limit
% 3.76/1.33 % (316704)Termination phase: Saturation
% 3.76/1.33 % (316704)Time elapsed: 0.039 s
% 3.76/1.33 % (316704)Peak memory usage: 89 MB
% 3.76/1.33 % (316704)Instructions burned: 117 (million)
% 3.76/1.33 % (316701)Instruction limit reached!
% 3.76/1.33 % (316701)------------------------------
% 3.76/1.33 % (316701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.33 % (316701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.33 % (316701)CaDiCaL version: 2.1.3
% 3.76/1.33 % (316701)Termination reason: Instruction limit
% 3.76/1.33 % (316701)Termination phase: Saturation
% 3.76/1.33 % (316701)Time elapsed: 0.071 s
% 3.76/1.33 % (316701)Peak memory usage: 89 MB
% 3.76/1.33 % (316701)Instructions burned: 107 (million)
% 3.76/1.33 % (316702)Instruction limit reached!
% 3.76/1.33 % (316702)------------------------------
% 3.76/1.33 % (316702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.33 % (316702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.33 % (316702)CaDiCaL version: 2.1.3
% 3.76/1.33 % (316702)Termination reason: Instruction limit
% 3.76/1.33 % (316702)Termination phase: Saturation
% 3.76/1.33 % (316702)Time elapsed: 0.076 s
% 3.76/1.33 % (316702)Peak memory usage: 89 MB
% 3.76/1.33 % (316702)Instructions burned: 114 (million)
% 3.76/1.33 % (316712)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=3959677448:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.76/1.33 % (316703)Instruction limit reached!
% 3.76/1.33 % (316703)------------------------------
% 3.76/1.33 % (316703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.33 % (316703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.33 % (316703)CaDiCaL version: 2.1.3
% 3.76/1.33 % (316703)Termination reason: Instruction limit
% 3.76/1.33 % (316703)Termination phase: Saturation
% 3.76/1.33 % (316703)Time elapsed: 0.119 s
% 3.76/1.33 % (316703)Peak memory usage: 90 MB
% 3.76/1.33 % (316703)Instructions burned: 181 (million)
% 3.76/1.33 % (316712)First to succeed.
% 3.76/1.33 % (316712)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-316693"
% 3.76/1.33 % (316714)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3497649183:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.76/1.33 % (316713)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=169822996: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)
% 3.76/1.33 % (316714)Also succeeded, but the first one will report.
% 3.76/1.33 % (316716)lrs+10_64_to=lpo:sil=8000:random_seed=855914956:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.76/1.33 % (316712)Refutation found. Thanks to Tanya!
% 3.76/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.76/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.33 % (316712)------------------------------
% 3.76/1.33 % (316712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.33 % (316712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.33 % (316712)CaDiCaL version: 2.1.3
% 3.76/1.33 % (316712)Termination reason: Refutation
% 3.76/1.33 % (316712)Time elapsed: 0.018 s
% 3.76/1.33 % (316712)Peak memory usage: 90 MB
% 3.76/1.33 % (316712)Instructions burned: 52 (million)
% 3.76/1.33 % (316712)------------------------------
% 3.76/1.33 % (316712)------------------------------
% 3.76/1.33 % (316693)Success in time 0.459 s
% 3.76/1.33 % Vampire exiting
%------------------------------------------------------------------------------