%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV331-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:08:53 PM UTC 2026
% Result : Unsatisfiable 2.79s 0.82s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3578,axiom,
! [X0,X1] :
( ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat)
| c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Onew__keys__not__used_0) ).
fof(f3581,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(X2),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__imp__keysFor_0) ).
fof(f3591,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3592,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3593,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3596,negated_conjecture,
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_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f4133,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),X1,tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(X1),tc_nat) ),
inference(resolution,[],[f3581,f3593]) ).
fof(f4134,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(resolution,[],[f4133,f3596]) ).
fof(f4646,plain,
! [X0] :
( c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
inference(resolution,[],[f3578,f3591]) ).
fof(f4847,plain,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat) ),
inference(resolution,[],[f4646,f3592]) ).
fof(f4849,plain,
~ c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(forward_subsumption_resolution,[],[f4847,f4134]) ).
fof(f4850,plain,
$false,
inference(forward_subsumption_resolution,[],[f4849,f3593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV331-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.12 % Computer : n012.cluster.edu
% 0.05/0.12 % Model : x86_64 x86_64
% 0.05/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.12 % Memory : 8046.5625MB
% 0.05/0.12 % OS : Linux 6.8.0-71-generic
% 0.05/0.12 % CPULimit : 300
% 0.05/0.12 % WCLimit : 300
% 0.05/0.12 % DateTime : Mon Sep 28 10:37:04 UTC 2026
% 0.05/0.12 % CPUTime :
% 0.05/0.12 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.14 Running first-order theorem proving
% 0.05/0.14 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
% 2.79/0.82 % (3301674)Input is clausal, will run a generic CNF schedule.
% 2.79/0.82 % (3301681)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3112635460:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.79/0.82 % (3301679)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=1088556546:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.79/0.82 % (3301682)lrs+10_1_sil=8000:sp=occurrence:random_seed=748381997:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.79/0.82 % (3301680)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2705600780:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.79/0.82 % (3301685)dis-21_1_sil=8000:lcm=predicate:random_seed=2869895643: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)
% 2.79/0.82 % (3301683)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1325079406:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.79/0.82 % (3301684)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1358515946:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.79/0.82 % (3301685)Instruction limit reached!
% 2.79/0.82 % (3301685)------------------------------
% 2.79/0.82 % (3301685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/0.82 % (3301685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.82 % (3301685)CaDiCaL version: 2.1.3
% 2.79/0.82 % (3301685)Termination reason: Instruction limit
% 2.79/0.82 % (3301685)Termination phase: Saturation
% 2.79/0.82 % (3301685)Time elapsed: 0.034 s
% 2.79/0.82 % (3301685)Peak memory usage: 91 MB
% 2.79/0.82 % (3301685)Instructions burned: 118 (million)
% 2.79/0.82 % (3301683)Instruction limit reached!
% 2.79/0.82 % (3301683)------------------------------
% 2.79/0.82 % (3301683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/0.82 % (3301683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.82 % (3301683)CaDiCaL version: 2.1.3
% 2.79/0.82 % (3301683)Termination reason: Instruction limit
% 2.79/0.82 % (3301683)Termination phase: Saturation
% 2.79/0.82 % (3301683)Time elapsed: 0.037 s
% 2.79/0.82 % (3301683)Peak memory usage: 91 MB
% 2.79/0.82 % (3301683)Instructions burned: 115 (million)
% 2.79/0.82 % (3301682)Instruction limit reached!
% 2.79/0.82 % (3301682)------------------------------
% 2.79/0.82 % (3301682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/0.82 % (3301682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.82 % (3301682)CaDiCaL version: 2.1.3
% 2.79/0.82 % (3301682)Termination reason: Instruction limit
% 2.79/0.82 % (3301682)Termination phase: Saturation
% 2.79/0.82 % (3301682)Time elapsed: 0.039 s
% 2.79/0.82 % (3301682)Peak memory usage: 91 MB
% 2.79/0.82 % (3301682)Instructions burned: 108 (million)
% 2.79/0.82 % (3301684)First to succeed.
% 2.79/0.82 % (3301684)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3301674"
% 2.79/0.82 % (3301693)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=4265318052:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.79/0.82 % (3301694)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2521203101: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)
% 2.79/0.82 % (3301695)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=14370401:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.79/0.82 % (3301693)Also succeeded, but the first one will report.
% 2.79/0.82 % (3301695)Also succeeded, but the first one will report.
% 2.79/0.82 % (3301694)Also succeeded, but the first one will report.
% 2.79/0.82 % (3301684)Refutation found. Thanks to Tanya!
% 2.79/0.82 % SZS status Unsatisfiable for theBenchmark
% 2.79/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/0.82 % (3301684)------------------------------
% 2.79/0.82 % (3301684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/0.82 % (3301684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.82 % (3301684)CaDiCaL version: 2.1.3
% 2.79/0.82 % (3301684)Termination reason: Refutation
% 2.79/0.82 % (3301684)Time elapsed: 0.053 s
% 2.79/0.82 % (3301684)Peak memory usage: 92 MB
% 2.79/0.82 % (3301684)Instructions burned: 162 (million)
% 2.79/0.82 % (3301684)------------------------------
% 2.79/0.82 % (3301684)------------------------------
% 2.79/0.82 % (3301674)Success in time 0.388 s
% 2.79/0.82 % Vampire exiting
%------------------------------------------------------------------------------