TSTP Solution File: SWW965+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW965+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.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 : Wed Aug 31 19:25:07 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 65 ( 19 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 158 ( 74 ~; 58 |; 10 &)
% ( 4 <=>; 12 =>; 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 : 19 ( 19 usr; 7 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f761,plain,
$false,
inference(avatar_sat_refutation,[],[f574,f627,f632,f700,f760]) ).
fof(f760,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f714,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f702,f637]) ).
fof(f637,plain,
pred_attacker(constr_pkey(name_skA)),
inference(resolution,[],[f509,f476]) ).
fof(f476,plain,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
inference(cnf_transformation,[],[f177]) ).
fof(f177,axiom,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax176) ).
fof(f509,plain,
! [X0] :
( ~ pred_attacker(tuple_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_out_1(X0)) ),
inference(ennf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( pred_attacker(tuple_out_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f118]) ).
fof(f118,axiom,
! [X39] :
( pred_attacker(tuple_out_1(X39))
=> pred_attacker(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax117) ).
fof(f702,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_1 ),
inference(resolution,[],[f701,f391]) ).
fof(f391,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_client_B_in_5(X0)) ),
inference(ennf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_5(X0)) ),
inference(rectify,[],[f138]) ).
fof(f138,axiom,
! [X69] :
( pred_attacker(X69)
=> pred_attacker(tuple_client_B_in_5(X69)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax137) ).
fof(f701,plain,
( ! [X1] : ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f563,f435]) ).
fof(f435,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X1,X0),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X1,X0),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X24,X23] : pred_eq_bitstring_bitstring(X23,X24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax103) ).
fof(f563,plain,
( ! [X3,X1] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X3),constr_adec(X1,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X1)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f562,plain,
( spl0_1
<=> ! [X1,X3] :
( ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X3),constr_adec(X1,name_skB)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f700,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f640,f399]) ).
fof(f399,plain,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
inference(cnf_transformation,[],[f180]) ).
fof(f180,axiom,
pred_attacker(tuple_client_A_out_1(name_A,name_I)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax179) ).
fof(f640,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_4 ),
inference(resolution,[],[f534,f633]) ).
fof(f633,plain,
( ! [X0] : ~ pred_attacker(tuple_client_B_in_2(X0))
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f573,f435]) ).
fof(f573,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X0,constr_pkey(name_skS)))) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f572,plain,
( spl0_4
<=> ! [X0] :
( ~ pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X0,constr_pkey(name_skS)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f534,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_2(X0)) ),
inference(rectify,[],[f142]) ).
fof(f142,axiom,
! [X73] :
( pred_attacker(X73)
=> pred_attacker(tuple_client_B_in_2(X73)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax141) ).
fof(f632,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f631,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f630,f403]) ).
fof(f403,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f189]) ).
fof(f189,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[],[f188]) ).
fof(f188,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f630,plain,
( pred_attacker(name_objective)
| ~ spl0_3 ),
inference(resolution,[],[f465,f570]) ).
fof(f570,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f568,plain,
( spl0_3
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f465,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_6(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(ennf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( pred_attacker(tuple_client_B_out_6(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f132]) ).
fof(f132,axiom,
! [X60] :
( pred_attacker(tuple_client_B_out_6(X60))
=> pred_attacker(X60) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax131) ).
fof(f627,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f583,f388]) ).
fof(f388,plain,
pred_attacker(constr_CONST_3),
inference(cnf_transformation,[],[f160]) ).
fof(f160,axiom,
pred_attacker(constr_CONST_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax159) ).
fof(f583,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_2 ),
inference(resolution,[],[f436,f580]) ).
fof(f580,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f566,f435]) ).
fof(f566,plain,
( ! [X2] :
( ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X2,name_skB))) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f565,plain,
( spl0_2
<=> ! [X2] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X2,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f436,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_3(X0)) ),
inference(rectify,[],[f140]) ).
fof(f140,axiom,
! [X71] :
( pred_attacker(X71)
=> pred_attacker(tuple_client_B_in_3(X71)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax139) ).
fof(f574,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f428,f572,f568,f565,f562]) ).
fof(f428,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_2(X0))
| pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X0,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X2,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X3),constr_adec(X1,name_skB)) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0,X1,X2,X3] :
( ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X2,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X3),constr_adec(X1,name_skB))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X0,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X0))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(rectify,[],[f288]) ).
fof(f288,plain,
! [X3,X1,X0,X2] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X0,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X1))
| ~ pred_eq_bitstring_bitstring(name_Nb(X2),constr_adec(X1,name_skB))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(flattening,[],[f287]) ).
fof(f287,plain,
! [X2,X0,X1,X3] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ pred_eq_bitstring_bitstring(name_Nb(X2),constr_adec(X1,name_skB))
| ~ 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(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X0,name_skB)))
| ~ pred_attacker(tuple_client_B_in_5(X1)) ),
inference(ennf_transformation,[],[f241]) ).
fof(f241,plain,
! [X2,X0,X1,X3] :
( ( pred_attacker(tuple_client_B_in_2(X3))
& pred_eq_bitstring_bitstring(name_Nb(X2),constr_adec(X1,name_skB))
& 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(X0))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X0,name_skB)))
& pred_attacker(tuple_client_B_in_5(X1)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(rectify,[],[f185]) ).
fof(f185,axiom,
! [X116,X117,X115,X118] :
( ( pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X116,name_skB)))
& pred_attacker(tuple_client_B_in_2(X118))
& pred_attacker(tuple_client_B_in_5(X117))
& pred_eq_bitstring_bitstring(name_Nb(X115),constr_adec(X117,name_skB))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X118,constr_pkey(name_skS))))
& pred_attacker(tuple_client_B_in_3(X116)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax184) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW965+1 : TPTP v8.1.0. Released v7.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 21:14:47 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.47 % (8018)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (8042)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50 % (8026)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (8034)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.50 % (8020)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (8034)First to succeed.
% 0.19/0.51 % (8028)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (8036)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (8019)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (8023)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (8037)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (8029)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (8014)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (8041)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (8015)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (8017)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (8034)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (8034)------------------------------
% 0.19/0.53 % (8034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8034)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (8034)Memory used [KB]: 5884
% 0.19/0.53 % (8034)Time elapsed: 0.131 s
% 0.19/0.53 % (8034)Instructions burned: 11 (million)
% 0.19/0.53 % (8034)------------------------------
% 0.19/0.53 % (8034)------------------------------
% 0.19/0.53 % (8013)Success in time 0.184 s
%------------------------------------------------------------------------------