TSTP Solution File: SWW961+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW961+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 : n001.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 19:25:06 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 67 ( 12 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 199 ( 95 ~; 75 |; 10 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f745,plain,
$false,
inference(avatar_sat_refutation,[],[f560,f568,f576,f717,f734,f737,f740,f744]) ).
fof(f744,plain,
( spl4_7
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f743,f566,f617]) ).
fof(f617,plain,
( spl4_7
<=> ! [X0] : ~ pred_attacker(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f566,plain,
( spl4_4
<=> ! [X2] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X2,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f743,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f452,f741]) ).
fof(f741,plain,
( ! [X2] : ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f567,f456]) ).
fof(f456,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X1,X0),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] : pred_eq_bitstring_bitstring(X1,X0),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X24,X23] : pred_eq_bitstring_bitstring(X23,X24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
fof(f567,plain,
( ! [X2] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X2,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X2)) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f452,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_3(X0)) ),
inference(rectify,[],[f123]) ).
fof(f123,axiom,
! [X67] :
( pred_attacker(X67)
=> pred_attacker(tuple_client_B_in_3(X67)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).
fof(f740,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f739,plain,
( $false
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f738,f417]) ).
fof(f417,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f178]) ).
fof(f178,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[],[f177]) ).
fof(f177,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(f738,plain,
( pred_attacker(name_objective)
| ~ spl4_6 ),
inference(resolution,[],[f575,f442]) ).
fof(f442,plain,
! [X0] :
( ~ pred_attacker(tuple_client_B_out_6(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_B_out_6(X0)) ),
inference(ennf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( pred_attacker(tuple_client_B_out_6(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,axiom,
! [X56] :
( pred_attacker(tuple_client_B_out_6(X56))
=> pred_attacker(X56) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).
fof(f575,plain,
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl4_6
<=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f737,plain,
( spl4_7
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f736,f570,f617]) ).
fof(f570,plain,
( spl4_5
<=> ! [X0,X1] :
( ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X0,name_skB))
| ~ pred_attacker(tuple_client_B_in_5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f736,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f446,f735]) ).
fof(f735,plain,
( ! [X0] : ~ pred_attacker(tuple_client_B_in_5(X0))
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f571,f456]) ).
fof(f571,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X0,name_skB)) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f446,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_5(X0)) ),
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X65] :
( pred_attacker(X65)
=> pred_attacker(tuple_client_B_in_5(X65)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).
fof(f734,plain,
( spl4_7
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f733,f558,f617]) ).
fof(f558,plain,
( spl4_2
<=> ! [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,[spl4_2])]) ).
fof(f733,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f495,f718]) ).
fof(f718,plain,
( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f559,f456]) ).
fof(f559,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)))) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f495,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0] :
( pred_attacker(tuple_client_B_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_B_in_2(X0)) ),
inference(rectify,[],[f125]) ).
fof(f125,axiom,
! [X69] :
( pred_attacker(X69)
=> pred_attacker(tuple_client_B_in_2(X69)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).
fof(f717,plain,
~ spl4_7,
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f655,plain,
( $false
| ~ spl4_7 ),
inference(subsumption_resolution,[],[f438,f618]) ).
fof(f618,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f438,plain,
pred_attacker(name_A),
inference(cnf_transformation,[],[f161]) ).
fof(f161,axiom,
pred_attacker(name_A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax160) ).
fof(f576,plain,
( ~ spl4_3
| ~ spl4_1
| spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f552,f573,f570,f554,f562]) ).
fof(f562,plain,
( spl4_3
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f554,plain,
( spl4_1
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f552,plain,
! [X0,X1] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X0,name_skB))
| ~ sP3
| ~ sP2
| ~ pred_attacker(tuple_client_B_in_5(X0)) ),
inference(general_splitting,[],[f550,f551_D]) ).
fof(f551,plain,
! [X3] :
( ~ pred_attacker(tuple_client_B_in_2(X3))
| sP3
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS)))) ),
inference(cnf_transformation,[],[f551_D]) ).
fof(f551_D,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)))) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f550,plain,
! [X3,X0,X1] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X0,name_skB))
| pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(tuple_client_B_in_2(X3))
| ~ sP2 ),
inference(general_splitting,[],[f464,f549_D]) ).
fof(f549,plain,
! [X2] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X2,name_skB)))
| sP2
| ~ pred_attacker(tuple_client_B_in_3(X2)) ),
inference(cnf_transformation,[],[f549_D]) ).
fof(f549_D,plain,
( ! [X2] :
( ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X2,name_skB)))
| ~ pred_attacker(tuple_client_B_in_3(X2)) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f464,plain,
! [X2,X3,X0,X1] :
( ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X0,name_skB))
| ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X2,name_skB)))
| pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(tuple_client_B_in_2(X3)) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0,X1,X2,X3] :
( ~ pred_attacker(tuple_client_B_in_3(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X0,name_skB))
| ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X2,name_skB)))
| pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_5(X0))
| ~ pred_attacker(tuple_client_B_in_2(X3)) ),
inference(rectify,[],[f327]) ).
fof(f327,plain,
! [X3,X1,X0,X2] :
( ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X3,name_skB))
| ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X0,name_skB)))
| pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_5(X3))
| ~ pred_attacker(tuple_client_B_in_2(X2)) ),
inference(flattening,[],[f326]) ).
fof(f326,plain,
! [X1,X3,X0,X2] :
( pred_attacker(tuple_client_B_out_6(name_objective))
| ~ pred_attacker(tuple_client_B_in_3(X0))
| ~ pred_attacker(tuple_client_B_in_5(X3))
| ~ pred_attacker(tuple_client_B_in_2(X2))
| ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
| ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X0,name_skB)))
| ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X3,name_skB)) ),
inference(ennf_transformation,[],[f202]) ).
fof(f202,plain,
! [X1,X3,X0,X2] :
( ( pred_attacker(tuple_client_B_in_3(X0))
& pred_attacker(tuple_client_B_in_5(X3))
& pred_attacker(tuple_client_B_in_2(X2))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
& pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X0,name_skB)))
& pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X3,name_skB)) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
inference(rectify,[],[f174]) ).
fof(f174,axiom,
! [X122,X121,X124,X123] :
( ( pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X122,name_skB)))
& pred_attacker(tuple_client_B_in_5(X123))
& pred_attacker(tuple_client_B_in_3(X122))
& pred_attacker(tuple_client_B_in_2(X124))
& pred_eq_bitstring_bitstring(name_Nb(X121),constr_adec(X123,name_skB))
& pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X124,constr_pkey(name_skS)))) )
=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).
fof(f568,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f549,f566,f562]) ).
fof(f560,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f551,f558,f554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW961+1 : TPTP v8.1.0. Released v7.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 21:39:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (5195)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.46 % (5195)Instruction limit reached!
% 0.19/0.46 % (5195)------------------------------
% 0.19/0.46 % (5195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (5195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (5195)Termination reason: Unknown
% 0.19/0.46 % (5195)Termination phase: Preprocessing 2
% 0.19/0.46
% 0.19/0.46 % (5195)Memory used [KB]: 1151
% 0.19/0.46 % (5195)Time elapsed: 0.004 s
% 0.19/0.46 % (5195)Instructions burned: 2 (million)
% 0.19/0.46 % (5195)------------------------------
% 0.19/0.46 % (5195)------------------------------
% 0.19/0.47 % (5203)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (5203)First to succeed.
% 0.19/0.49 % (5203)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (5203)------------------------------
% 0.19/0.49 % (5203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (5203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (5203)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (5203)Memory used [KB]: 5884
% 0.19/0.49 % (5203)Time elapsed: 0.088 s
% 0.19/0.49 % (5203)Instructions burned: 15 (million)
% 0.19/0.49 % (5203)------------------------------
% 0.19/0.49 % (5203)------------------------------
% 0.19/0.49 % (5186)Success in time 0.141 s
%------------------------------------------------------------------------------