TSTP Solution File: SWW950+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW950+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Tue Apr 30 17:49:10 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 84
% Syntax : Number of formulae : 321 ( 184 unt; 0 def)
% Number of atoms : 491 ( 136 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 419 ( 249 ~; 127 |; 6 &)
% ( 11 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 12 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 225 ( 225 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f484,plain,
$false,
inference(avatar_sat_refutation,[],[f227,f231,f243,f304,f362,f374,f437,f438,f439,f440,f441,f442,f443,f444,f445,f446,f447,f448,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f483]) ).
fof(f483,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f481,f120]) ).
fof(f120,plain,
~ pred_attacker(name_objective),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
~ pred_attacker(name_objective),
inference(flattening,[],[f77]) ).
fof(f77,negated_conjecture,
~ pred_attacker(name_objective),
inference(negated_conjecture,[],[f76]) ).
fof(f76,conjecture,
pred_attacker(name_objective),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co0) ).
fof(f481,plain,
( pred_attacker(name_objective)
| ~ spl0_11 ),
inference(resolution,[],[f373,f182]) ).
fof(f182,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_4(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_4(X0)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( pred_attacker(tuple_T_out_4(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X11] :
( pred_attacker(tuple_T_out_4(X11))
=> pred_attacker(X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f373,plain,
( pred_attacker(tuple_T_out_4(name_objective))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl0_11
<=> pred_attacker(tuple_T_out_4(name_objective)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f480,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f123]) ).
fof(f123,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f449,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_10 ),
inference(resolution,[],[f369,f181]) ).
fof(f181,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_T_in_1(X0)) ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X20] :
( pred_attacker(X20)
=> pred_attacker(tuple_T_in_1(X20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f369,plain,
( ! [X1] : ~ pred_attacker(tuple_T_in_1(X1))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl0_10
<=> ! [X1] : ~ pred_attacker(tuple_T_in_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f479,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f451,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f124]) ).
fof(f124,plain,
pred_attacker(constr_CONST_1),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
pred_attacker(constr_CONST_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f478,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f452,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f125]) ).
fof(f125,plain,
pred_attacker(constr_CONST_2),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
pred_attacker(constr_CONST_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f477,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f127]) ).
fof(f127,plain,
pred_attacker(constr_CONST_3),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
pred_attacker(constr_CONST_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f476,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f454,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f128]) ).
fof(f128,plain,
pred_attacker(constr_CONST_4),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
pred_attacker(constr_CONST_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
fof(f475,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f129]) ).
fof(f129,plain,
pred_attacker(constr_ZERO),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
pred_attacker(constr_ZERO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f474,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f456,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f126]) ).
fof(f126,plain,
pred_attacker(name_c),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
pred_attacker(name_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f473,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f458,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f122]) ).
fof(f122,plain,
pred_attacker(tuple_true),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
pred_attacker(tuple_true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f472,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f449,f232]) ).
fof(f232,plain,
( pred_attacker(constr_h(constr_ZERO))
| ~ spl0_2 ),
inference(resolution,[],[f226,f183]) ).
fof(f183,plain,
! [X0] :
( ~ pred_attacker(tuple_T_out_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_out_2(X0)) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X13] :
( pred_attacker(tuple_T_out_2(X13))
=> pred_attacker(X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f226,plain,
( pred_attacker(tuple_T_out_2(constr_h(constr_ZERO)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl0_2
<=> pred_attacker(tuple_T_out_2(constr_h(constr_ZERO))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f471,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f121]) ).
fof(f121,plain,
pred_attacker(tuple_false),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
pred_attacker(tuple_false),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f470,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f465,plain,
( $false
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f449,f226]) ).
fof(f469,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f449,f175]) ).
fof(f175,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X27] : pred_attacker(name_new0x2Dname(X27)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f448,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f418,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f123]) ).
fof(f414,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_9 ),
inference(global_subsumption,[],[f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f187,f188,f186,f199,f200,f201,f198,f190,f191,f185,f214,f216,f217,f218,f215,f194,f246,f247,f250,f252,f253,f254,f255,f256,f257,f259,f260,f265,f268,f276,f278,f264,f286,f288,f295,f294,f271,f283,f309,f310,f315,f323,f324,f325,f328,f284,f337,f347,f348,f353,f289,f193,f273,f380,f381,f386,f388,f292,f399,f366,f404]) ).
fof(f404,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(X0) )
| ~ spl0_9 ),
inference(resolution,[],[f366,f190]) ).
fof(f366,plain,
( ! [X0] : ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl0_9
<=> ! [X0] : ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_xor(X0,constr_xor(X1,X2)))
| pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X2) ),
inference(superposition,[],[f292,f194]) ).
fof(f292,plain,
! [X0,X1] :
( ~ pred_attacker(constr_xor(X1,X0))
| pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(superposition,[],[f191,f264]) ).
fof(f388,plain,
! [X0,X1] :
( ~ pred_attacker(X1)
| pred_attacker(X0)
| ~ pred_attacker(constr_xor(X0,X1)) ),
inference(superposition,[],[f273,f284]) ).
fof(f386,plain,
! [X2,X0,X1] :
( ~ pred_attacker(constr_xor(X0,constr_xor(X1,X2)))
| pred_attacker(X2)
| ~ pred_attacker(constr_xor(X0,X1)) ),
inference(superposition,[],[f273,f194]) ).
fof(f381,plain,
! [X0,X1] :
( ~ pred_attacker(constr_xor(X1,X0))
| pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(superposition,[],[f273,f186]) ).
fof(f380,plain,
! [X0,X1] :
( ~ pred_attacker(constr_xor(X1,X0))
| pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(superposition,[],[f273,f186]) ).
fof(f273,plain,
! [X0,X1] :
( ~ pred_attacker(constr_xor(X0,X1))
| pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(superposition,[],[f191,f260]) ).
fof(f193,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_4(name_objective))
| ~ pred_attacker(tuple_T_in_1(X1))
| ~ pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( pred_attacker(tuple_T_in_1(X1))
& pred_attacker(tuple_T_in_3(X0,constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
inference(rectify,[],[f75]) ).
fof(f75,axiom,
! [X29,X30] :
( ( pred_attacker(tuple_T_in_1(X30))
& pred_attacker(tuple_T_in_3(X29,constr_h(constr_xor(X29,constr_xor(name_k0x30,name_ki))))) )
=> pred_attacker(tuple_T_out_4(name_objective)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f289,plain,
( pred_attacker(tuple_T_out_2(constr_h(name_k0x30)))
| ~ pred_attacker(tuple_T_in_1(name_ki)) ),
inference(superposition,[],[f185,f264]) ).
fof(f353,plain,
! [X0] :
( ~ pred_attacker(tuple_T_in_1(constr_xor(name_k0x30,constr_xor(name_ki,X0))))
| pred_attacker(tuple_T_out_2(constr_h(X0))) ),
inference(forward_demodulation,[],[f352,f194]) ).
fof(f352,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(X0)))
| ~ pred_attacker(tuple_T_in_1(constr_xor(constr_xor(name_k0x30,name_ki),X0))) ),
inference(superposition,[],[f185,f284]) ).
fof(f348,plain,
! [X2,X0,X1] : constr_xor(X1,X2) = constr_xor(constr_xor(X0,X1),constr_xor(X0,X2)),
inference(superposition,[],[f194,f284]) ).
fof(f347,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(X0)
| ~ pred_attacker(constr_xor(X0,X1)) ),
inference(superposition,[],[f191,f284]) ).
fof(f337,plain,
! [X2,X0,X1] : constr_xor(constr_xor(X0,constr_xor(X1,X2)),constr_xor(X0,X1)) = X2,
inference(superposition,[],[f284,f194]) ).
fof(f284,plain,
! [X0,X1] : constr_xor(constr_xor(X1,X0),X1) = X0,
inference(superposition,[],[f264,f264]) ).
fof(f328,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(X0)))
| ~ pred_attacker(tuple_T_in_1(constr_xor(X0,constr_xor(name_k0x30,name_ki)))) ),
inference(superposition,[],[f185,f283]) ).
fof(f325,plain,
! [X0,X1] : constr_xor(constr_xor(X0,X1),X0) = X1,
inference(superposition,[],[f260,f283]) ).
fof(f324,plain,
! [X2,X0,X1] : constr_xor(X0,X2) = constr_xor(constr_xor(X0,X1),constr_xor(X1,X2)),
inference(superposition,[],[f194,f283]) ).
fof(f323,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(X1)
| ~ pred_attacker(constr_xor(X0,X1)) ),
inference(superposition,[],[f191,f283]) ).
fof(f315,plain,
! [X2,X0,X1] : constr_xor(X0,X1) = constr_xor(constr_xor(X0,constr_xor(X1,X2)),X2),
inference(superposition,[],[f283,f194]) ).
fof(f310,plain,
! [X0,X1] : constr_xor(constr_xor(X1,X0),X1) = X0,
inference(superposition,[],[f283,f186]) ).
fof(f309,plain,
! [X0,X1] : constr_xor(constr_xor(X1,X0),X1) = X0,
inference(superposition,[],[f283,f186]) ).
fof(f283,plain,
! [X0,X1] : constr_xor(constr_xor(X0,X1),X1) = X0,
inference(superposition,[],[f264,f260]) ).
fof(f271,plain,
( pred_attacker(tuple_T_out_2(constr_h(name_ki)))
| ~ pred_attacker(tuple_T_in_1(name_k0x30)) ),
inference(superposition,[],[f185,f260]) ).
fof(f294,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,constr_xor(X2,constr_xor(X0,X1)))) = X2,
inference(superposition,[],[f194,f264]) ).
fof(f295,plain,
! [X2,X0,X1] : constr_xor(X1,X2) = constr_xor(X0,constr_xor(X1,constr_xor(X0,X2))),
inference(forward_demodulation,[],[f291,f194]) ).
fof(f291,plain,
! [X2,X0,X1] : constr_xor(X1,X2) = constr_xor(X0,constr_xor(constr_xor(X1,X0),X2)),
inference(superposition,[],[f194,f264]) ).
fof(f288,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,constr_xor(X2,constr_xor(X0,X1)))) = X2,
inference(superposition,[],[f264,f194]) ).
fof(f286,plain,
! [X2,X0,X1] : constr_xor(X0,X1) = constr_xor(X2,constr_xor(X0,constr_xor(X1,X2))),
inference(superposition,[],[f264,f194]) ).
fof(f264,plain,
! [X0,X1] : constr_xor(X0,constr_xor(X1,X0)) = X1,
inference(superposition,[],[f260,f186]) ).
fof(f278,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,constr_xor(X0,constr_xor(X1,X2)))) = X2,
inference(forward_demodulation,[],[f275,f194]) ).
fof(f275,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,constr_xor(constr_xor(X0,X1),X2))) = X2,
inference(superposition,[],[f194,f260]) ).
fof(f276,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,constr_xor(X0,constr_xor(X1,X2)))) = X2,
inference(forward_demodulation,[],[f270,f194]) ).
fof(f270,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,constr_xor(constr_xor(X0,X1),X2))) = X2,
inference(superposition,[],[f260,f194]) ).
fof(f268,plain,
! [X2,X0,X1] : constr_xor(constr_xor(X0,X1),constr_xor(X0,constr_xor(X1,X2))) = X2,
inference(superposition,[],[f260,f194]) ).
fof(f265,plain,
! [X0,X1] : constr_xor(X0,constr_xor(X1,X0)) = X1,
inference(superposition,[],[f260,f186]) ).
fof(f260,plain,
! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = X1,
inference(forward_demodulation,[],[f244,f198]) ).
fof(f244,plain,
! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = constr_xor(constr_ZERO,X1),
inference(superposition,[],[f194,f176]) ).
fof(f259,plain,
! [X0,X1] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(X1,constr_xor(name_k0x30,name_ki))))))
| ~ pred_attacker(tuple_T_in_1(constr_xor(X0,X1))) ),
inference(superposition,[],[f185,f194]) ).
fof(f257,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(X2,constr_xor(X0,X1)),
inference(superposition,[],[f186,f194]) ).
fof(f256,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(X2,constr_xor(X0,X1)),
inference(superposition,[],[f186,f194]) ).
fof(f255,plain,
! [X2,X0,X1] :
( pred_attacker(constr_xor(X0,constr_xor(X1,X2)))
| ~ pred_attacker(X2)
| ~ pred_attacker(constr_xor(X0,X1)) ),
inference(superposition,[],[f191,f194]) ).
fof(f254,plain,
! [X0,X1] : constr_ZERO = constr_xor(X0,constr_xor(X1,constr_xor(X0,X1))),
inference(superposition,[],[f176,f194]) ).
fof(f253,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(X2,constr_xor(X0,X1)),
inference(superposition,[],[f194,f186]) ).
fof(f252,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(X2,constr_xor(X0,X1)),
inference(superposition,[],[f194,f186]) ).
fof(f250,plain,
! [X0,X1] : constr_ZERO = constr_xor(X0,constr_xor(X1,constr_xor(X0,X1))),
inference(superposition,[],[f194,f176]) ).
fof(f247,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X1,X0),X2),
inference(superposition,[],[f194,f186]) ).
fof(f246,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X1,X0),X2),
inference(superposition,[],[f194,f186]) ).
fof(f194,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4,X5,X6] : constr_xor(X4,constr_xor(X5,X6)) = constr_xor(constr_xor(X4,X5),X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f215,plain,
( pred_attacker(tuple_T_out_2(constr_h(constr_ZERO)))
| ~ pred_attacker(tuple_T_in_1(constr_xor(name_k0x30,name_ki))) ),
inference(superposition,[],[f185,f176]) ).
fof(f218,plain,
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(name_k0x30,name_ki))))
| ~ pred_attacker(tuple_T_in_1(constr_ZERO)) ),
inference(superposition,[],[f185,f198]) ).
fof(f217,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(constr_xor(name_k0x30,name_ki),X0))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(superposition,[],[f185,f186]) ).
fof(f216,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(constr_xor(name_k0x30,name_ki),X0))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(superposition,[],[f185,f186]) ).
fof(f214,plain,
! [X0] :
( ~ pred_attacker(tuple_T_in_1(X0))
| pred_attacker(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))) ),
inference(resolution,[],[f185,f183]) ).
fof(f185,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki)))))
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
=> pred_attacker(tuple_T_out_2(constr_h(constr_xor(X0,constr_xor(name_k0x30,name_ki))))) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X28] :
( pred_attacker(tuple_T_in_1(X28))
=> pred_attacker(tuple_T_out_2(constr_h(constr_xor(X28,constr_xor(name_k0x30,name_ki))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f191,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_xor(X0,X1)) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X7,X8] :
( ( pred_attacker(X8)
& pred_attacker(X7) )
=> pred_attacker(constr_xor(X7,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f190,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_T_in_3(X0,X1)) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X14,X15] :
( ( pred_attacker(X15)
& pred_attacker(X14) )
=> pred_attacker(tuple_T_in_3(X14,X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f198,plain,
! [X0] : constr_xor(constr_ZERO,X0) = X0,
inference(superposition,[],[f186,f177]) ).
fof(f201,plain,
! [X0] : constr_xor(constr_ZERO,X0) = X0,
inference(superposition,[],[f177,f186]) ).
fof(f200,plain,
! [X0] : constr_xor(constr_ZERO,X0) = X0,
inference(superposition,[],[f177,f186]) ).
fof(f199,plain,
! [X0] : constr_xor(constr_ZERO,X0) = X0,
inference(superposition,[],[f186,f177]) ).
fof(f186,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X2,X3] : constr_xor(X2,X3) = constr_xor(X3,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
fof(f188,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_T_in_3(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_T_in_3(X0,X1)) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
=> pred_attacker(X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X18,X19] :
( pred_attacker(tuple_T_in_3(X18,X19))
=> pred_attacker(X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f187,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_T_in_3(X0,X1))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_in_3(X0,X1)) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( pred_attacker(tuple_T_in_3(X0,X1))
=> pred_attacker(X0) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X16,X17] :
( pred_attacker(tuple_T_in_3(X16,X17))
=> pred_attacker(X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f184,plain,
! [X0] :
( ~ pred_attacker(tuple_T_in_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_T_in_1(X0)) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( pred_attacker(tuple_T_in_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X21] :
( pred_attacker(tuple_T_in_1(X21))
=> pred_attacker(X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f180,plain,
! [X0] :
( pred_attacker(constr_h(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( pred_attacker(constr_h(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_h(X0)) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X9] :
( pred_attacker(X9)
=> pred_attacker(constr_h(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f179,plain,
! [X0] :
( pred_attacker(tuple_T_out_4(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( pred_attacker(tuple_T_out_4(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_T_out_4(X0)) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X10] :
( pred_attacker(X10)
=> pred_attacker(tuple_T_out_4(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f178,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( pred_attacker(tuple_T_out_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_T_out_2(X0)) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X12] :
( pred_attacker(X12)
=> pred_attacker(tuple_T_out_2(X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f177,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X1] : constr_xor(X1,constr_ZERO) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f176,plain,
! [X0] : constr_ZERO = constr_xor(X0,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] : constr_ZERO = constr_xor(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f174,plain,
constr_ZERO != name_objective,
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
constr_ZERO != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f173,plain,
constr_ZERO != name_ki,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
constr_ZERO != name_ki,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f172,plain,
constr_ZERO != name_k0x30,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
constr_ZERO != name_k0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f171,plain,
constr_ZERO != name_c,
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
constr_ZERO != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f170,plain,
name_k0x30 != name_ki,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
name_k0x30 != name_ki,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f169,plain,
name_ki != name_objective,
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
name_ki != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
fof(f168,plain,
name_k0x30 != name_objective,
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
name_k0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f167,plain,
constr_CONST_3 != constr_ZERO,
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
constr_CONST_3 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f166,plain,
constr_CONST_1 != constr_ZERO,
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
constr_CONST_1 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f165,plain,
constr_CONST_0x30 != constr_ZERO,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
constr_CONST_0x30 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f164,plain,
constr_CONST_2 != constr_ZERO,
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
constr_CONST_2 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f163,plain,
constr_CONST_4 != constr_ZERO,
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
constr_CONST_4 != constr_ZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f162,plain,
constr_CONST_1 != name_objective,
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
constr_CONST_1 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f161,plain,
constr_CONST_1 != name_ki,
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
constr_CONST_1 != name_ki,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f160,plain,
name_c != name_objective,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
name_c != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f159,plain,
name_c != name_ki,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
name_c != name_ki,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f158,plain,
name_c != name_k0x30,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
name_c != name_k0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f157,plain,
constr_CONST_2 != name_k0x30,
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
constr_CONST_2 != name_k0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f156,plain,
constr_CONST_2 != name_ki,
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
constr_CONST_2 != name_ki,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f155,plain,
constr_CONST_1 != name_k0x30,
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
constr_CONST_1 != name_k0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f154,plain,
constr_CONST_0x30 != name_objective,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
constr_CONST_0x30 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f153,plain,
constr_CONST_4 != name_objective,
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
constr_CONST_4 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f152,plain,
constr_CONST_4 != name_ki,
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
constr_CONST_4 != name_ki,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f151,plain,
constr_CONST_4 != name_k0x30,
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
constr_CONST_4 != name_k0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f150,plain,
constr_CONST_2 != name_objective,
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
constr_CONST_2 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f149,plain,
constr_CONST_0x30 != name_ki,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
constr_CONST_0x30 != name_ki,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f148,plain,
constr_CONST_3 != name_objective,
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
constr_CONST_3 != name_objective,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f147,plain,
constr_CONST_3 != name_ki,
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
constr_CONST_3 != name_ki,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f146,plain,
constr_CONST_3 != name_k0x30,
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
constr_CONST_3 != name_k0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f145,plain,
constr_CONST_0x30 != name_k0x30,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
constr_CONST_0x30 != name_k0x30,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f144,plain,
constr_CONST_3 != name_c,
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
constr_CONST_3 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f143,plain,
constr_CONST_3 != constr_CONST_4,
inference(cnf_transformation,[],[f25]) ).
fof(f25,axiom,
constr_CONST_3 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f142,plain,
constr_CONST_4 != name_c,
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
constr_CONST_4 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f141,plain,
constr_CONST_1 != name_c,
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
constr_CONST_1 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f140,plain,
constr_CONST_2 != name_c,
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
constr_CONST_2 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f139,plain,
constr_CONST_2 != constr_CONST_3,
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
constr_CONST_2 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f138,plain,
constr_CONST_2 != constr_CONST_4,
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
constr_CONST_2 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f137,plain,
constr_CONST_1 != constr_CONST_4,
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
constr_CONST_1 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f136,plain,
constr_CONST_0x30 != constr_CONST_1,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
constr_CONST_0x30 != constr_CONST_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).
fof(f135,plain,
constr_CONST_0x30 != constr_CONST_2,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
constr_CONST_0x30 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f134,plain,
constr_CONST_0x30 != constr_CONST_3,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
constr_CONST_0x30 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f133,plain,
constr_CONST_0x30 != constr_CONST_4,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
constr_CONST_0x30 != constr_CONST_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f132,plain,
constr_CONST_0x30 != name_c,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
constr_CONST_0x30 != name_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f131,plain,
constr_CONST_1 != constr_CONST_3,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
constr_CONST_1 != constr_CONST_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f130,plain,
constr_CONST_1 != constr_CONST_2,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
constr_CONST_1 != constr_CONST_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f447,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f124]) ).
fof(f446,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f420,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f125]) ).
fof(f445,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f127]) ).
fof(f444,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f422,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f128]) ).
fof(f443,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f423,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f129]) ).
fof(f442,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f424,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f126]) ).
fof(f441,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f426]) ).
fof(f426,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f122]) ).
fof(f440,plain,
( ~ spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f428,plain,
( $false
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f414,f232]) ).
fof(f439,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f121]) ).
fof(f438,plain,
( ~ spl0_2
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f433,plain,
( $false
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f414,f226]) ).
fof(f437,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f436,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f414,f175]) ).
fof(f374,plain,
( spl0_9
| spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f193,f371,f368,f365]) ).
fof(f362,plain,
( ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f289,f359,f355]) ).
fof(f355,plain,
( spl0_7
<=> pred_attacker(tuple_T_in_1(name_ki)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f359,plain,
( spl0_8
<=> pred_attacker(tuple_T_out_2(constr_h(name_k0x30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f304,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f271,f301,f297]) ).
fof(f297,plain,
( spl0_5
<=> pred_attacker(tuple_T_in_1(name_k0x30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f301,plain,
( spl0_6
<=> pred_attacker(tuple_T_out_2(constr_h(name_ki))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f243,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f234,f220,f240,f236]) ).
fof(f236,plain,
( spl0_3
<=> pred_attacker(name_k0x30) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f240,plain,
( spl0_4
<=> pred_attacker(name_ki) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f220,plain,
( spl0_1
<=> pred_attacker(tuple_T_in_1(constr_xor(name_k0x30,name_ki))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f234,plain,
( ~ pred_attacker(name_ki)
| ~ pred_attacker(name_k0x30)
| spl0_1 ),
inference(resolution,[],[f233,f191]) ).
fof(f233,plain,
( ~ pred_attacker(constr_xor(name_k0x30,name_ki))
| spl0_1 ),
inference(resolution,[],[f222,f181]) ).
fof(f222,plain,
( ~ pred_attacker(tuple_T_in_1(constr_xor(name_k0x30,name_ki)))
| spl0_1 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f231,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f229,f129]) ).
fof(f229,plain,
( ~ pred_attacker(constr_ZERO)
| spl0_2 ),
inference(resolution,[],[f228,f180]) ).
fof(f228,plain,
( ~ pred_attacker(constr_h(constr_ZERO))
| spl0_2 ),
inference(resolution,[],[f225,f178]) ).
fof(f225,plain,
( ~ pred_attacker(tuple_T_out_2(constr_h(constr_ZERO)))
| spl0_2 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f215,f224,f220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW950+1 : TPTP v8.1.2. Released v7.4.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 02:59:36 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (533)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (536)WARNING: value z3 for option sas not known
% 0.12/0.35 % (536)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (537)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (538)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.35 % (540)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.35 % (535)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (539)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.35 Detected minimum model sizes of [10]
% 0.12/0.35 Detected maximum model sizes of [max]
% 0.12/0.36 % (534)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (536)First to succeed.
% 0.12/0.36 TRYING [10]
% 0.12/0.36 Detected minimum model sizes of [10]
% 0.12/0.36 Detected maximum model sizes of [max]
% 0.12/0.37 % (536)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (536)------------------------------
% 0.12/0.37 % (536)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37 % (536)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (536)Memory used [KB]: 979
% 0.12/0.37 % (536)Time elapsed: 0.014 s
% 0.12/0.37 % (536)Instructions burned: 21 (million)
% 0.12/0.37 % (536)------------------------------
% 0.12/0.37 % (536)------------------------------
% 0.12/0.37 % (533)Success in time 0.008 s
%------------------------------------------------------------------------------