%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV247-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 01:20:34 PM UTC 2026
% Result : Unsatisfiable 0.59s 0.37s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 56 ( 11 unt; 5 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 99 ( 45 ~; 49 |; 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 : 23 ( 0 sgn 23 !; 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/sandbox2/benchmark/Axioms/MSC001-2.ax',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/sandbox2/benchmark/Axioms/MSC001-2.ax',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/sandbox2/benchmark/Axioms/MSC001-2.ax',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/sandbox2/benchmark/Axioms/SWV004-0.ax',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/sandbox2/benchmark/Axioms/SWV004-0.ax',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/sandbox2/benchmark/Axioms/SWV004-0.ax',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/sandbox2/benchmark/Axioms/SWV004-0.ax',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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1896,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolution,[],[f1393,f1480]) ).
fof(f1899,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(f2397,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(f2398,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(f2402,definition,
( spl0_6
<=> 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_6])],[avatar_definition]) ).
fof(f2403,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_6 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f2404,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_6 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f2406,definition,
( spl0_7
<=> 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_7])],[avatar_definition]) ).
fof(f2408,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f2409,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f2398,f2406,f2402]) ).
fof(f2411,definition,
( spl0_8
<=> 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_8])],[avatar_definition]) ).
fof(f2412,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_8 ),
inference(avatar_component_clause,[],[f2411]) ).
fof(f2413,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_8 ),
inference(avatar_component_clause,[],[f2411]) ).
fof(f2415,definition,
( spl0_9
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f2417,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_Message_Osynth(v_G),tc_Message_Omsg)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f2418,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f2397,f2415,f2411]) ).
fof(f2753,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_6 ),
inference(resolution,[],[f1451,f2404]) ).
fof(f2758,plain,
( c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f2753,f2413]) ).
fof(f2760,plain,
( $false
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f2758,f1899]) ).
fof(f2761,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f2760]) ).
fof(f2791,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| ~ spl0_7 ),
inference(resolution,[],[f2408,f1433]) ).
fof(f2796,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_6 ),
inference(resolution,[],[f2403,f1452]) ).
fof(f2799,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| spl0_6 ),
inference(resolution,[],[f2796,f1394]) ).
fof(f2801,plain,
( $false
| spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2799,f2791]) ).
fof(f2802,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2801]) ).
fof(f2808,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_9 ),
inference(resolution,[],[f2417,f1431]) ).
fof(f2816,definition,
( spl0_11
<=> c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f2818,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f2816]) ).
fof(f2820,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2808,f1896]) ).
fof(f2821,plain,
( spl0_11
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2820,f2415,f2816]) ).
fof(f2887,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_8 ),
inference(resolution,[],[f2412,f1452]) ).
fof(f2888,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| spl0_8 ),
inference(resolution,[],[f2887,f1394]) ).
fof(f2890,plain,
( $false
| spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2888,f2818]) ).
fof(f2891,plain,
( spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f2890]) ).
cnf(s5,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f2409]) ).
cnf(s6,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f2418]) ).
cnf(s7,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f2761]) ).
cnf(s8,plain,
( spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f2802]) ).
cnf(s10,plain,
( ~ spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f2821]) ).
cnf(s11,plain,
( spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f2891]) ).
cnf(s12,plain,
spl0_6,
inference(rat,[],[s5,s8]) ).
cnf(s13,plain,
~ spl0_8,
inference(rat,[],[s7,s12]) ).
cnf(s14,plain,
~ spl0_11,
inference(rat,[],[s11,s13]) ).
cnf(s15,plain,
spl0_9,
inference(rat,[],[s6,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s10,s14,s15]) ).
fof(f2892,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV247-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 % Computer : n014.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Mon Sep 28 10:17:16 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 Running first-order model finding
% 0.11/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.37 % (1690759)Will run a generic schedule for satisfiability detection.
% 0.59/0.37 % (1690769)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2140171517:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.59/0.37 % (1690765)% WARNING: option uhcvi not known.
% 0.59/0.37 % (1690764)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=251799072_2999 on theBenchmark for (2999ds/0Mi)
% 0.59/0.37 % (1690765)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4187285300:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.59/0.37 % (1690766)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=528864984:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.59/0.37 % (1690767)dis+10_1_sil=32000:sp=arity:random_seed=312511199:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.59/0.37 % (1690768)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4281564304:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.59/0.37 % (1690770)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=518228519:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.59/0.37 % (1690769)Instruction limit reached!
% 0.59/0.37 % (1690769)------------------------------
% 0.59/0.37 % (1690769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.37 % (1690769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.37 % (1690769)CaDiCaL version: 2.1.3
% 0.59/0.37 % (1690769)Termination reason: Instruction limit
% 0.59/0.37 % (1690769)Termination phase: Saturation
% 0.59/0.37 % (1690769)Time elapsed: 0.040 s
% 0.59/0.37 % (1690769)Peak memory usage: 14 MB
% 0.59/0.37 % (1690769)Instructions burned: 134 (million)
% 0.59/0.37 % (1690778)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2157187040:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.59/0.37 % (1690767) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1690759-1690767"...
% 0.59/0.37 % (1690767)...printing done.
% 0.59/0.37 % (1690767)Refutation found. Thanks to Tanya!
% 0.59/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.59/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.37 % (1690767)------------------------------
% 0.59/0.37 % (1690767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.37 % (1690767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.37 % (1690767)CaDiCaL version: 2.1.3
% 0.59/0.37 % (1690767)Termination reason: Refutation
% 0.59/0.37 % (1690767)Time elapsed: 0.046 s
% 0.59/0.37 % (1690767)Peak memory usage: 14 MB
% 0.59/0.37 % (1690767)Instructions burned: 69 (million)
% 0.59/0.37 % (1690759)Success in time 0.11 s
% 0.59/0.37 % Vampire exiting
%------------------------------------------------------------------------------