%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV247-2 : 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 : n008.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 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 52 ( 10 unt; 4 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 103 ( 50 ~; 49 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 5 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(f1,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/theBenchmark.p',cls_Message_OCrypt__synth_1) ).
fof(f2,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/theBenchmark.p',cls_Message_Oanalz_ODecrypt__dest_0) ).
fof(f3,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/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f4,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/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f7,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/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f8,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(f9,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(f10,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(f11,plain,
~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
inference(resolution,[],[f5,f10]) ).
fof(f12,plain,
~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f6,f10]) ).
fof(f14,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,[],[f7,f8]) ).
fof(f15,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,[],[f7,f9]) ).
fof(f19,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(f21,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,[],[f19]) ).
fof(f23,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(f25,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,[],[f23]) ).
fof(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f15,f23,f19]) ).
fof(f28,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(f29,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,[],[f28]) ).
fof(f30,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,[],[f28]) ).
fof(f32,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(f34,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,[],[f32]) ).
fof(f35,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f32,f28]) ).
fof(f36,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f25,f3]) ).
fof(f37,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,[],[f2,f4]) ).
fof(f40,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,[],[f37,f30]) ).
fof(f42,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,[],[f40,f12]) ).
fof(f43,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),v_G,tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f42,f6]) ).
fof(f45,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f43,f36]) ).
fof(f46,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f45]) ).
fof(f47,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,[],[f21,f2]) ).
fof(f48,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,[],[f47,f30]) ).
fof(f50,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f48,f12]) ).
fof(f51,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f50]) ).
fof(f53,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,[],[f34,f1]) ).
fof(f54,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f53,f11]) ).
fof(f55,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,[],[f29,f4]) ).
fof(f56,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,v_X),v_G,tc_Message_Omsg)
| spl0_3 ),
inference(resolution,[],[f55,f6]) ).
fof(f58,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f56,f54]) ).
fof(f59,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f58]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f35]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f46]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f51]) ).
cnf(s5,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f59]) ).
cnf(s6,plain,
spl0_3,
inference(rat,[],[s2,s5]) ).
cnf(s7,plain,
~ spl0_1,
inference(rat,[],[s4,s6]) ).
cnf(s8,plain,
~ spl0_2,
inference(rat,[],[s3,s6]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8,s7]) ).
fof(f60,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV247-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n008.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 10:18:39 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.26 % (2155478)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (2155483)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3868581024_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % TRYING [3]
% 0.09/0.26 % (2155484)% WARNING: option uhcvi not known.
% 0.09/0.26 % TRYING [4]
% 0.09/0.26 % (2155484)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1756105813:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (2155485)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3104756645:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (2155486)dis+10_1_sil=32000:sp=arity:random_seed=430630278:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (2155487)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1078252069:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (2155488)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4069246380:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (2155489)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=786086140:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (2155486) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2155478-2155486"...
% 0.09/0.26 % (2155484) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2155478-2155484"...
% 0.09/0.26 % (2155489) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2155478-2155489"...
% 0.09/0.26 % (2155487) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2155478-2155487"...
% 0.09/0.26 % (2155485) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2155478-2155485"...
% 0.09/0.26 % (2155486)...printing done.
% 0.09/0.26 % (2155484)...printing done.
% 0.09/0.26 % (2155489)...printing done.
% 0.09/0.26 % (2155487)...printing done.
% 0.09/0.26 % (2155486)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (2155486)------------------------------
% 0.09/0.26 % (2155486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (2155486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (2155486)CaDiCaL version: 2.1.3
% 0.09/0.26 % (2155486)Termination reason: Refutation
% 0.09/0.26 % (2155486)Time elapsed: 0.003 s
% 0.09/0.26 % (2155486)Peak memory usage: 11 MB
% 0.09/0.26 % (2155486)Instructions burned: 2 (million)
% 0.09/0.26 % (2155478)Success in time 0.041 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------