TSTP Solution File: SWW955+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW955+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 : n011.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 19:25:05 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 68 ( 19 unt; 0 def)
% Number of atoms : 125 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 100 ( 43 ~; 37 |; 2 &)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f294,plain,
$false,
inference(avatar_sat_refutation,[],[f229,f249,f289,f291,f293]) ).
fof(f293,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f288,f148]) ).
fof(f148,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f83]) ).
fof(f83,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[],[f82]) ).
fof(f82,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).
fof(f288,plain,
( pred_attacker(name_objective)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl0_4
<=> pred_attacker(name_objective) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f291,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f284,f266]) ).
fof(f266,plain,
pred_attacker(name_m_9),
inference(resolution,[],[f265,f257]) ).
fof(f257,plain,
pred_attacker(constr_comm_enc(name_m_9,name_Ka)),
inference(resolution,[],[f216,f172]) ).
fof(f172,plain,
! [X0] :
( ~ pred_attacker(tuple_A_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_A_out_1(X0)) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( pred_attacker(tuple_A_out_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X23] :
( pred_attacker(tuple_A_out_1(X23))
=> pred_attacker(X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(f216,plain,
pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
fof(f265,plain,
! [X0] :
( ~ pred_attacker(constr_comm_enc(X0,name_Ka))
| pred_attacker(X0) ),
inference(resolution,[],[f264,f141]) ).
fof(f141,plain,
! [X0] :
( pred_attacker(tuple_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(tuple_A_in_2(X0)) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_A_in_2(X0)) ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X24] :
( pred_attacker(X24)
=> pred_attacker(tuple_A_in_2(X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
fof(f264,plain,
! [X0] :
( ~ pred_attacker(tuple_A_in_2(constr_comm_enc(X0,name_Ka)))
| pred_attacker(X0) ),
inference(superposition,[],[f262,f167]) ).
fof(f167,plain,
! [X0,X1] : constr_comm_dec(constr_comm_enc(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X1,X0] : constr_comm_dec(constr_comm_enc(X0,X1),X1) = X0,
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X3,X2] : constr_comm_dec(constr_comm_enc(X3,X2),X2) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f262,plain,
! [X0] :
( pred_attacker(constr_comm_dec(X0,name_Ka))
| ~ pred_attacker(tuple_A_in_2(X0)) ),
inference(resolution,[],[f170,f187]) ).
fof(f187,plain,
! [X0] :
( ~ pred_attacker(tuple_A_out_3(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_A_out_3(X0)) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( pred_attacker(tuple_A_out_3(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X21] :
( pred_attacker(tuple_A_out_3(X21))
=> pred_attacker(X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
fof(f170,plain,
! [X0] :
( pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka)))
| ~ pred_attacker(tuple_A_in_2(X0)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka)))
| ~ pred_attacker(tuple_A_in_2(X0)) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( pred_attacker(tuple_A_in_2(X0))
=> pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka))) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X32] :
( pred_attacker(tuple_A_in_2(X32))
=> pred_attacker(tuple_A_out_3(constr_comm_dec(X32,name_Ka))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f284,plain,
( ~ pred_attacker(name_m_9)
| spl0_3 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl0_3
<=> pred_attacker(name_m_9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f289,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f278,f223,f286,f282]) ).
fof(f223,plain,
( spl0_1
<=> pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f278,plain,
( pred_attacker(name_objective)
| ~ pred_attacker(name_m_9)
| ~ spl0_1 ),
inference(resolution,[],[f268,f258]) ).
fof(f258,plain,
( pred_attacker(constr_enc(name_objective,name_m_9))
| ~ spl0_1 ),
inference(resolution,[],[f225,f166]) ).
fof(f166,plain,
! [X0] :
( ~ pred_attacker(tuple_A_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_A_out_4(X0)) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( pred_attacker(tuple_A_out_4(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X19] :
( pred_attacker(tuple_A_out_4(X19))
=> pred_attacker(X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f225,plain,
( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f268,plain,
! [X0,X1] :
( ~ pred_attacker(constr_enc(X0,X1))
| ~ pred_attacker(X1)
| pred_attacker(X0) ),
inference(superposition,[],[f206,f188]) ).
fof(f188,plain,
! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X1,X0] : constr_dec(constr_enc(X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f206,plain,
! [X0,X1] :
( pred_attacker(constr_dec(X1,X0))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| ~ pred_attacker(X0)
| pred_attacker(constr_dec(X1,X0)) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( pred_attacker(constr_dec(X1,X0))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( pred_attacker(X0)
& pred_attacker(X1) )
=> pred_attacker(constr_dec(X1,X0)) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X7,X6] :
( ( pred_attacker(X6)
& pred_attacker(X7) )
=> pred_attacker(constr_dec(X6,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
fof(f249,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f235,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f230,f169]) ).
fof(f169,plain,
pred_attacker(constr_CONST_4),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
pred_attacker(constr_CONST_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f230,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_2 ),
inference(resolution,[],[f141,f228]) ).
fof(f228,plain,
( ! [X0] : ~ pred_attacker(tuple_A_in_2(X0))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl0_2
<=> ! [X0] : ~ pred_attacker(tuple_A_in_2(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f229,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f180,f227,f223]) ).
fof(f180,plain,
! [X0] :
( ~ pred_attacker(tuple_A_in_2(X0))
| pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ pred_attacker(tuple_A_in_2(X0))
| pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( pred_attacker(tuple_A_in_2(X0))
=> pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X33] :
( pred_attacker(tuple_A_in_2(X33))
=> pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW955+1 : TPTP v8.1.0. Released v7.4.0.
% 0.03/0.13 % 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 : n011.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 21:15:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (2574)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)
% 0.19/0.48 % (2574)First to succeed.
% 0.19/0.49 % (2574)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 % (2574)------------------------------
% 0.19/0.49 % (2574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (2574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (2574)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (2574)Memory used [KB]: 5500
% 0.19/0.49 % (2574)Time elapsed: 0.105 s
% 0.19/0.49 % (2574)Instructions burned: 4 (million)
% 0.19/0.49 % (2574)------------------------------
% 0.19/0.49 % (2574)------------------------------
% 0.19/0.49 % (2570)Success in time 0.143 s
%------------------------------------------------------------------------------