%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV733-1 : 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 : n007.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 01:19:22 PM UTC 2026
% Result : Unsatisfiable 3.96s 1.35s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f294,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f404,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f423,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__trans_0) ).
fof(f783,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f834,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f835,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f836,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1022,plain,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(resolution,[],[f783,f834]) ).
fof(f1871,plain,
! [X0] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(resolution,[],[f423,f836]) ).
fof(f1902,plain,
~ c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(resolution,[],[f1871,f835]) ).
fof(f2175,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
inference(resolution,[],[f404,f1902]) ).
fof(f2187,plain,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f2175,f294]) ).
fof(f2188,plain,
$false,
inference(forward_subsumption_resolution,[],[f2187,f1022]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV733-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 12:21:25 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.96/1.35 % (2355275)Input is clausal, will run a generic CNF schedule.
% 3.96/1.35 % (2355282)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1425258999:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.96/1.35 % (2355285)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1619451325:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.96/1.35 % (2355284)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3767443658:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.96/1.35 % (2355283)lrs+10_1_sil=8000:sp=occurrence:random_seed=3244123153:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.96/1.35 % (2355281)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=631415259:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.96/1.35 % (2355280)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=3937527051:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.96/1.35 % (2355286)dis-21_1_sil=8000:lcm=predicate:random_seed=3555797605: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)
% 3.96/1.35 % (2355285)First to succeed.
% 3.96/1.35 % (2355285)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2355275"
% 3.96/1.35 % (2355284)Instruction limit reached!
% 3.96/1.35 % (2355284)------------------------------
% 3.96/1.35 % (2355284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.35 % (2355284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.35 % (2355284)CaDiCaL version: 2.1.3
% 3.96/1.35 % (2355284)Termination reason: Instruction limit
% 3.96/1.35 % (2355284)Termination phase: Saturation
% 3.96/1.35 % (2355284)Time elapsed: 0.074 s
% 3.96/1.35 % (2355284)Peak memory usage: 89 MB
% 3.96/1.35 % (2355284)Instructions burned: 114 (million)
% 3.96/1.35 % (2355283)Instruction limit reached!
% 3.96/1.35 % (2355283)------------------------------
% 3.96/1.35 % (2355283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.35 % (2355283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.35 % (2355283)CaDiCaL version: 2.1.3
% 3.96/1.35 % (2355283)Termination reason: Instruction limit
% 3.96/1.35 % (2355283)Termination phase: Saturation
% 3.96/1.35 % (2355283)Time elapsed: 0.071 s
% 3.96/1.35 % (2355283)Peak memory usage: 89 MB
% 3.96/1.35 % (2355283)Instructions burned: 107 (million)
% 3.96/1.35 % (2355286)Instruction limit reached!
% 3.96/1.35 % (2355286)------------------------------
% 3.96/1.35 % (2355286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.35 % (2355286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.35 % (2355286)CaDiCaL version: 2.1.3
% 3.96/1.35 % (2355286)Termination reason: Instruction limit
% 3.96/1.35 % (2355286)Termination phase: Saturation
% 3.96/1.35 % (2355286)Time elapsed: 0.069 s
% 3.96/1.35 % (2355286)Peak memory usage: 89 MB
% 3.96/1.35 % (2355286)Instructions burned: 118 (million)
% 3.96/1.35 % (2355296)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=23160173:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.96/1.35 % (2355294)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=3473467022:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.96/1.35 % (2355295)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=851702125: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)
% 3.96/1.35 % (2355294)Refutation not found, incomplete strategy
% 3.96/1.35 % (2355294)------------------------------
% 3.96/1.35 % (2355294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.35 % (2355294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.35 % (2355294)CaDiCaL version: 2.1.3
% 3.96/1.35 % (2355294)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.35 % (2355294)Time elapsed: 0.016 s
% 3.96/1.35 % (2355294)Peak memory usage: 88 MB
% 3.96/1.35 % (2355294)Instructions burned: 26 (million)
% 3.96/1.35 % (2355296)Refutation not found, incomplete strategy
% 3.96/1.35 % (2355296)------------------------------
% 3.96/1.35 % (2355296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.35 % (2355296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.35 % (2355296)CaDiCaL version: 2.1.3
% 3.96/1.35 % (2355296)Termination reason: Refutation not found, incomplete strategy
% 3.96/1.35 % (2355296)Time elapsed: 0.024 s
% 3.96/1.35 % (2355296)Peak memory usage: 89 MB
% 3.96/1.35 % (2355296)Instructions burned: 40 (million)
% 3.96/1.35 % (2355295)Also succeeded, but the first one will report.
% 3.96/1.35 % (2355285)Refutation found. Thanks to Tanya!
% 3.96/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.96/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.35 % (2355285)------------------------------
% 3.96/1.35 % (2355285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.35 % (2355285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.35 % (2355285)CaDiCaL version: 2.1.3
% 3.96/1.35 % (2355285)Termination reason: Refutation
% 3.96/1.35 % (2355285)Time elapsed: 0.068 s
% 3.96/1.35 % (2355285)Peak memory usage: 90 MB
% 3.96/1.35 % (2355285)Instructions burned: 106 (million)
% 3.96/1.35 % (2355285)------------------------------
% 3.96/1.35 % (2355285)------------------------------
% 3.96/1.35 % (2355275)Success in time 0.496 s
% 3.96/1.35 % Vampire exiting
%------------------------------------------------------------------------------