%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV247-1 : 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 : n017.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 01:08:30 PM UTC 2026
% Result : Unsatisfiable 2.85s 1.11s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 10 unt; 5 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 110 ( 53 ~; 52 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1393,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f1394,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f1395,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f1431,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
fof(f1433,axiom,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f1451,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).
fof(f1452,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f1477,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1479,negated_conjecture,
c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1480,negated_conjecture,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1486,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolution,[],[f1393,f1480]) ).
fof(f1489,plain,
~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f1394,f1480]) ).
fof(f1513,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f1395,f1477]) ).
fof(f1514,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f1395,f1479]) ).
fof(f1520,definition,
( spl0_1
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1522,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1524,definition,
( spl0_2
<=> c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1526,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1527,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1514,f1524,f1520]) ).
fof(f1529,definition,
( spl0_3
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1530,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_3 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1531,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f1533,definition,
( spl0_4
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1535,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f1536,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1513,f1533,f1529]) ).
fof(f1537,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f1526,f1433]) ).
fof(f1562,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),X2,tc_Message_Omsg) ),
inference(resolution,[],[f1451,f1452]) ).
fof(f1572,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f1562,f1531]) ).
fof(f1574,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1572,f1489]) ).
fof(f1575,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f1574,f1394]) ).
fof(f1577,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1575,f1537]) ).
fof(f1578,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1580,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) )
| ~ spl0_1 ),
inference(resolution,[],[f1522,f1451]) ).
fof(f1609,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f1580,f1531]) ).
fof(f1611,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1609,f1489]) ).
fof(f1612,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1614,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| ~ spl0_4 ),
inference(resolution,[],[f1535,f1431]) ).
fof(f1621,definition,
( spl0_6
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1623,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1621]) ).
fof(f1625,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1614,f1486]) ).
fof(f1626,plain,
( spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1625,f1533,f1621]) ).
fof(f1627,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[],[f1530,f1452]) ).
fof(f1628,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[],[f1627,f1394]) ).
fof(f1630,plain,
( $false
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1628,f1623]) ).
fof(f1631,plain,
( spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1630]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f1536]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s6,plain,
( ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s7,plain,
( spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s8,plain,
spl0_3,
inference(rat,[],[s6,s2,s7]) ).
cnf(s9,plain,
~ spl0_1,
inference(rat,[],[s4,s8]) ).
cnf(s10,plain,
~ spl0_2,
inference(rat,[],[s3,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s10,s9]) ).
fof(f1632,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV247-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 10:12:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.85/1.11 % (3452135)Input is clausal, will run a generic CNF schedule.
% 2.85/1.11 % (3452142)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3625135015:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.85/1.11 % (3452145)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2074427178:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.85/1.11 % (3452141)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1256235551:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.85/1.11 % (3452146)dis-21_1_sil=8000:lcm=predicate:random_seed=1041918421: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)
% 2.85/1.11 % (3452140)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=917983649:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.85/1.11 % (3452143)lrs+10_1_sil=8000:sp=occurrence:random_seed=4287110144:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.85/1.11 % (3452144)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2493521052:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.85/1.11 % (3452143)First to succeed.
% 2.85/1.11 % (3452143)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3452135"
% 2.85/1.11 % (3452145)Also succeeded, but the first one will report.
% 2.85/1.11 % (3452146)Instruction limit reached!
% 2.85/1.11 % (3452146)------------------------------
% 2.85/1.11 % (3452146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/1.11 % (3452146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/1.11 % (3452146)CaDiCaL version: 2.1.3
% 2.85/1.11 % (3452146)Termination reason: Instruction limit
% 2.85/1.11 % (3452146)Termination phase: Saturation
% 2.85/1.11 % (3452146)Time elapsed: 0.069 s
% 2.85/1.11 % (3452146)Peak memory usage: 90 MB
% 2.85/1.11 % (3452146)Instructions burned: 117 (million)
% 2.85/1.11 % (3452144)Instruction limit reached!
% 2.85/1.11 % (3452144)------------------------------
% 2.85/1.11 % (3452144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/1.11 % (3452144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/1.11 % (3452144)CaDiCaL version: 2.1.3
% 2.85/1.11 % (3452144)Termination reason: Instruction limit
% 2.85/1.11 % (3452144)Termination phase: Saturation
% 2.85/1.11 % (3452144)Time elapsed: 0.073 s
% 2.85/1.11 % (3452144)Peak memory usage: 89 MB
% 2.85/1.11 % (3452144)Instructions burned: 114 (million)
% 2.85/1.11 % (3452154)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=1959987543:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.85/1.11 % (3452155)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1325111927: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)
% 2.85/1.11 % (3452143)Refutation found. Thanks to Tanya!
% 2.85/1.11 % SZS status Unsatisfiable for theBenchmark
% 2.85/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.31 % (3452143)------------------------------
% 0.19/1.31 % (3452143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31 % (3452143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31 % (3452143)CaDiCaL version: 2.1.3
% 0.19/1.31 % (3452143)Termination reason: Refutation
% 0.19/1.31 % (3452143)Time elapsed: 0.010 s
% 0.19/1.31 % (3452143)Peak memory usage: 90 MB
% 0.19/1.31 % (3452143)Instructions burned: 12 (million)
% 0.19/1.31 % (3452143)------------------------------
% 0.19/1.31 % (3452143)------------------------------
% 0.19/1.31 % (3452135)Success in time 0.446 s
% 0.19/1.31 % Vampire exiting
%------------------------------------------------------------------------------