%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV789-1 : 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 : n018.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 01:19:30 PM UTC 2026
% Result : Unsatisfiable 5.70s 1.55s
% Output : Refutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 1 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f251,axiom,
! [X0,X1] : ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).
fof(f427,axiom,
! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty2_1) ).
fof(f715,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f839,plain,
c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),c_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent),
inference(superposition,[],[f715,f427]) ).
fof(f840,plain,
$false,
inference(forward_subsumption_resolution,[],[f839,f251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV789-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n018.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 12:35:39 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 Running first-order theorem proving
% 0.25/0.28 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
% 5.70/1.55 % (3348331)Input is clausal, will run a generic CNF schedule.
% 5.70/1.55 % (3348338)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=3457605656:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.70/1.55 % (3348339)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1744701045:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.70/1.55 % (3348341)lrs+10_1_sil=8000:sp=occurrence:random_seed=2815331267:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.70/1.55 % (3348343)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1111437002:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.70/1.55 % (3348342)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=920089095:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.70/1.55 % (3348344)dis-21_1_sil=8000:lcm=predicate:random_seed=4218201078: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)
% 5.70/1.55 % (3348340)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1779024418:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.70/1.55 % (3348342)First to succeed.
% 5.70/1.55 % (3348342)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3348331"
% 5.70/1.55 % (3348341)Also succeeded, but the first one will report.
% 5.70/1.55 % (3348343)Also succeeded, but the first one will report.
% 5.70/1.55 % (3348344)Also succeeded, but the first one will report.
% 5.70/1.55 % (3348342)Refutation found. Thanks to Tanya!
% 5.70/1.55 % SZS status Unsatisfiable for theBenchmark
% 5.70/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 5.70/1.55 % (3348342)------------------------------
% 5.70/1.55 % (3348342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.55 % (3348342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.55 % (3348342)CaDiCaL version: 2.1.3
% 5.70/1.55 % (3348342)Termination reason: Refutation
% 5.70/1.55 % (3348342)Time elapsed: 0.025 s
% 5.70/1.55 % (3348342)Peak memory usage: 88 MB
% 5.70/1.55 % (3348342)Instructions burned: 23 (million)
% 5.70/1.55 % (3348342)------------------------------
% 5.70/1.55 % (3348342)------------------------------
% 5.70/1.55 % (3348331)Success in time 0.741 s
% 5.70/1.55 % Vampire exiting
%------------------------------------------------------------------------------