TSTP Solution File: SWW963+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW963+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:47:14 EDT 2024
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 140 ( 66 ~; 50 |; 10 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f909,plain,
$false,
inference(avatar_sat_refutation,[],[f620,f746,f825,f828,f908]) ).
fof(f908,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f832,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f831,f407]) ).
fof(f407,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f162]) ).
fof(f162,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f831,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_1 ),
inference(resolution,[],[f829,f516]) ).
fof(f516,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_5(X0)) ),
inference(rectify,[],[f140]) ).
fof(f140,axiom,
! [X118] :
( pred_attacker(X118)
=> pred_attacker(tuple_client_B_in_5(X118)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f829,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f609,f537]) ).
fof(f537,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
inference(rectify,[],[f96]) ).
fof(f96,axiom,
! [X49,X50] : pred_eq_bitstring_bitstring(X49,X50),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f609,plain,
( ! [X2,X0] :
( ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f608,plain,
( spl0_1
<=> ! [X2,X0] :
( ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f828,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f827,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f826,f404]) ).
fof(f404,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f197]) ).
fof(f197,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[],[f196]) ).
fof(f196,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f826,plain,
( pred_attacker(name_objective)
| ~ spl0_4 ),
inference(resolution,[],[f619,f531]) ).
fof(f531,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_6(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(ennf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( pred_attacker(tuple_client_B_out_6(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f134]) ).
fof(f134,axiom,
! [X109] :
( pred_attacker(tuple_client_B_out_6(X109))
=> pred_attacker(X109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f619,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f617,plain,
( spl0_4
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f825,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f749,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f748,f407]) ).
fof(f748,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_3 ),
inference(resolution,[],[f747,f520]) ).
fof(f520,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_2(X0)) ),
inference(rectify,[],[f144]) ).
fof(f144,axiom,
! [X122] :
( pred_attacker(X122)
=> pred_attacker(tuple_client_B_in_2(X122)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f747,plain,
( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f615,f537]) ).
fof(f615,plain,
( ! [X3] :
( ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS)))) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl0_3
<=> ! [X3] :
( ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f746,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f670,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f666,f407]) ).
fof(f666,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_2 ),
inference(resolution,[],[f665,f519]) ).
fof(f519,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_3(X0)) ),
inference(rectify,[],[f142]) ).
fof(f142,axiom,
! [X120] :
( pred_attacker(X120)
=> pred_attacker(tuple_client_B_in_3(X120)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f665,plain,
( ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f612,f537]) ).
fof(f612,plain,
( ! [X1] :
( ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB))) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl0_2
<=> ! [X1] :
( ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f620,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f595,f617,f614,f611,f608]) ).
fof(f595,plain,
! [X2,X3,X0,X1] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB)) ),
inference(cnf_transformation,[],[f401]) ).
fof(f401,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB)) ),
inference(flattening,[],[f400]) ).
fof(f400,plain,
! [X0,X1,X2,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_3(X1))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X2))
| ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB)) ),
inference(ennf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0,X1,X2,X3] :
( ( pred_attacker(tuple_client_B_in_2(X3))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(X1))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X1,name_skB)))
& pred_attacker(tuple_client_B_in_5(X2))
& pred_eq_bitstring_bitstring(name_Nb(X0),constr_ecb_dec_1(X2,name_skB)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(rectify,[],[f193]) ).
fof(f193,axiom,
! [X192,X193,X194,X195] :
( ( pred_attacker(tuple_client_B_in_2(X195))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X195,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(X193))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_ecb_dec_2(X193,name_skB)))
& pred_attacker(tuple_client_B_in_5(X194))
& pred_eq_bitstring_bitstring(name_Nb(X192),constr_ecb_dec_1(X194,name_skB)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW963+1 : TPTP v8.2.0. Released v7.4.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 04:19:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44 % (3696)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (3700)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.45 % (3696)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (3703)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.45 % (3696)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (3704)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.45 % (3696)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (3706)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.45 % (3696)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (3705)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.45 % (3696)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (3702)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.45 % (3705)Refutation not found, incomplete strategy% (3705)------------------------------
% 0.21/0.45 % (3705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45 % (3705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45 % (3705)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45 % (3705)Memory used [KB]: 1141
% 0.21/0.45 % (3705)Time elapsed: 0.004 s
% 0.21/0.45 % (3705)Instructions burned: 3 (million)
% 0.21/0.45 % (3696)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.45 % (3699)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.21/0.45 % (3705)------------------------------
% 0.21/0.45 % (3705)------------------------------
% 0.21/0.45 % (3706)Refutation not found, incomplete strategy% (3706)------------------------------
% 0.21/0.45 % (3706)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45 % (3706)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45 % (3706)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45 % (3706)Memory used [KB]: 1139
% 0.21/0.45 % (3706)Time elapsed: 0.005 s
% 0.21/0.45 % (3706)Instructions burned: 5 (million)
% 0.21/0.45 % (3706)------------------------------
% 0.21/0.45 % (3706)------------------------------
% 0.21/0.45 % (3700)First to succeed.
% 0.21/0.45 % (3703)Also succeeded, but the first one will report.
% 0.21/0.45 % (3700)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3696"
% 0.21/0.46 % (3696)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46 % (3700)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for theBenchmark
% 0.21/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.46 % (3700)------------------------------
% 0.21/0.46 % (3700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46 % (3700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46 % (3700)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (3700)Memory used [KB]: 1431
% 0.21/0.46 % (3700)Time elapsed: 0.014 s
% 0.21/0.46 % (3700)Instructions burned: 18 (million)
% 0.21/0.46 % (3700)------------------------------
% 0.21/0.46 % (3700)------------------------------
% 0.21/0.46 % (3696)Success in time 0.086 s
%------------------------------------------------------------------------------