%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV724-1 : 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 : n010.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 01:19:20 PM UTC 2026
% Result : Unsatisfiable 6.65s 2.11s
% Output : Refutation 6.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 9 unt; 2 def)
% Number of atoms : 80 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 35 ~; 37 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-3 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f219,axiom,
! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
fof(f351,axiom,
! [X2,X0,X1] : hBOOL(c_in(X0,c_Set_Oinsert(X0,X1,X2),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
fof(f367,axiom,
! [X2,X0,X1] :
( c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oanalz(X1)
| ~ c_lessequals(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))
| ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg))
| ~ c_lessequals(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X1) = c_Message_Oanalz(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ),
inference(reorient_equations,[],[f367]) ).
fof(f517,axiom,
! [X0] : c_Message_Oanalz(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_0) ).
fof(f518,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oanalz(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f517]) ).
fof(f605,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
fof(f608,axiom,
! [X0,X1] :
( hBOOL(c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,X1,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
fof(f611,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
fof(f617,negated_conjecture,
hBOOL(c_in(v_evs,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(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f619,negated_conjecture,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f648,definition,
( spl0_1
<=> hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f649,plain,
( ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| spl0_1 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f650,plain,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f652,definition,
( spl0_2
<=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f653,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| spl0_2 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f655,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f619,f652,f648]) ).
fof(f656,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f618,f648,f652]) ).
fof(f778,plain,
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg))
| spl0_2 ),
inference(resolution,[],[f653,f608]) ).
fof(f834,plain,
( ! [X0] : hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg))
| ~ spl0_1 ),
inference(resolution,[],[f611,f650]) ).
fof(f835,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f834,f778]) ).
fof(f841,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f942,plain,
( ! [X0] :
( ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X0) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),X0,tc_Message_Omsg)) )
| ~ spl0_2 ),
inference(resolution,[],[f368,f654]) ).
fof(f1074,plain,
! [X0] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
inference(resolution,[],[f605,f617]) ).
fof(f1396,plain,
( c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ spl0_2 ),
inference(resolution,[],[f219,f942]) ).
fof(f1407,plain,
( c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)) = c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1396,f518]) ).
fof(f1432,plain,
( ! [X0] :
( ~ hBOOL(c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),tc_Message_Omsg))
| hBOOL(c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) )
| ~ spl0_2 ),
inference(superposition,[],[f608,f1407]) ).
fof(f1614,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ spl0_2 ),
inference(resolution,[],[f351,f1432]) ).
fof(f1616,plain,
( hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent))
| ~ spl0_2 ),
inference(resolution,[],[f1614,f1074]) ).
fof(f1618,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1616,f649]) ).
fof(f1619,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1618]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f655]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f656]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f841]) ).
cnf(s12,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f1619]) ).
cnf(s14,plain,
spl0_1,
inference(rat,[],[s1,s12]) ).
cnf(s15,plain,
spl0_2,
inference(rat,[],[s7,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s2,s15,s14]) ).
fof(f1620,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV724-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.27 % Computer : n010.cluster.edu
% 0.23/0.27 % Model : x86_64 x86_64
% 0.23/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.27 % Memory : 8046.5625MB
% 0.23/0.27 % OS : Linux 6.8.0-71-generic
% 0.23/0.28 % CPULimit : 300
% 0.23/0.28 % WCLimit : 300
% 0.23/0.28 % DateTime : Mon Sep 28 12:22:02 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.33 Running first-order theorem proving
% 0.23/0.33 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
% 2.16/1.79 % (1888393)Input is clausal, will run a generic CNF schedule.
% 2.16/1.79 % (1888400)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=785225764:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.16/1.79 % (1888403)lrs+10_1_sil=8000:sp=occurrence:random_seed=2875156689:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.16/1.79 % (1888402)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1420889637:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.16/1.79 % (1888401)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3191453073:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.16/1.79 % (1888404)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1902552141:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.16/1.79 % (1888405)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1498522174:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.16/1.79 % (1888406)dis-21_1_sil=8000:lcm=predicate:random_seed=707434338: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)
% 2.16/1.79 % (1888403)Instruction limit reached!
% 2.16/1.79 % (1888403)------------------------------
% 2.16/1.79 % (1888403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.16/1.79 % (1888403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/1.79 % (1888403)CaDiCaL version: 2.1.3
% 2.16/1.79 % (1888403)Termination reason: Instruction limit
% 2.16/1.79 % (1888403)Termination phase: Saturation
% 2.16/1.79 % (1888403)Time elapsed: 0.113 s
% 2.16/1.79 % (1888403)Peak memory usage: 89 MB
% 2.16/1.79 % (1888403)Instructions burned: 107 (million)
% 2.16/1.79 % (1888405)First to succeed.
% 2.16/1.79 % (1888405)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1888393"
% 2.16/1.79 % (1888404)Instruction limit reached!
% 2.16/1.79 % (1888404)------------------------------
% 2.16/1.79 % (1888404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.16/1.79 % (1888404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/1.79 % (1888404)CaDiCaL version: 2.1.3
% 2.16/1.79 % (1888404)Termination reason: Instruction limit
% 2.16/1.79 % (1888404)Termination phase: Saturation
% 2.16/1.79 % (1888404)Time elapsed: 0.124 s
% 2.16/1.79 % (1888404)Peak memory usage: 89 MB
% 2.16/1.79 % (1888404)Instructions burned: 114 (million)
% 2.16/1.79 % (1888406)Instruction limit reached!
% 2.16/1.79 % (1888406)------------------------------
% 2.16/1.79 % (1888406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.16/1.79 % (1888406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/1.79 % (1888406)CaDiCaL version: 2.1.3
% 2.16/1.79 % (1888406)Termination reason: Instruction limit
% 2.16/1.79 % (1888406)Termination phase: Saturation
% 2.16/1.79 % (1888406)Time elapsed: 0.116 s
% 2.16/1.79 % (1888406)Peak memory usage: 89 MB
% 2.16/1.79 % (1888406)Instructions burned: 117 (million)
% 2.16/1.79 % (1888414)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=3565750391:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 2.16/1.79 % (1888416)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1200339439:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 2.16/1.79 % (1888415)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1960070983:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 2.16/1.79 % (1888414)Also succeeded, but the first one will report.
% 2.16/1.79 % (1888416)Refutation not found, incomplete strategy
% 2.16/1.79 % (1888416)------------------------------
% 2.16/1.79 % (1888416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.16/1.79 % (1888416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/1.79 % (1888416)CaDiCaL version: 2.1.3
% 2.16/1.79 % (1888416)Termination reason: Refutation not found, incomplete strategy
% 2.16/1.79 % (1888416)Time elapsed: 0.030 s
% 2.16/1.79 % (1888416)Peak memory usage: 89 MB
% 2.16/1.79 % (1888416)Instructions burned: 29 (million)
% 6.65/2.11 % (1888415)Also succeeded, but the first one will report.
% 6.65/2.11 % (1888405)Refutation found. Thanks to Tanya!
% 6.65/2.11 % SZS status Unsatisfiable for theBenchmark
% 6.65/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 6.65/2.11 % (1888405)------------------------------
% 6.65/2.11 % (1888405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/2.11 % (1888405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/2.11 % (1888405)CaDiCaL version: 2.1.3
% 6.65/2.11 % (1888405)Termination reason: Refutation
% 6.65/2.11 % (1888405)Time elapsed: 0.098 s
% 6.65/2.11 % (1888405)Peak memory usage: 90 MB
% 6.65/2.11 % (1888405)Instructions burned: 98 (million)
% 6.65/2.11 % (1888405)------------------------------
% 6.65/2.11 % (1888405)------------------------------
% 6.65/2.11 % (1888393)Success in time 0.833 s
% 6.65/2.11 % Vampire exiting
%------------------------------------------------------------------------------