TSTP Solution File: SWV102+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWV102+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 17:34:17 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 100 ( 44 unt; 0 def)
% Number of atoms : 302 ( 188 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 309 ( 107 ~; 101 |; 76 &)
% ( 21 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 22 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-3 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f445,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f255,f256,f279,f289,f292,f303,f362,f372,f423,f428,f444]) ).
fof(f444,plain,
~ spl4_16,
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f443,plain,
( $false
| ~ spl4_16 ),
inference(resolution,[],[f442,f178]) ).
fof(f178,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f442,plain,
( gt(n1,n1)
| ~ spl4_16 ),
inference(superposition,[],[f140,f284]) ).
fof(f284,plain,
( n1 = n2
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl4_16
<=> n1 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f140,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f428,plain,
~ spl4_18,
inference(avatar_contradiction_clause,[],[f427]) ).
fof(f427,plain,
( $false
| ~ spl4_18 ),
inference(resolution,[],[f424,f178]) ).
fof(f424,plain,
( gt(n0,n0)
| ~ spl4_18 ),
inference(backward_demodulation,[],[f139,f298]) ).
fof(f298,plain,
( n0 = n2
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl4_18
<=> n0 = n2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f139,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f423,plain,
~ spl4_27,
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f422,plain,
( $false
| ~ spl4_27 ),
inference(resolution,[],[f411,f178]) ).
fof(f411,plain,
( gt(n0,n0)
| ~ spl4_27 ),
inference(backward_demodulation,[],[f136,f357]) ).
fof(f357,plain,
( n0 = n1
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f355,plain,
( spl4_27
<=> n0 = n1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f136,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f372,plain,
( ~ spl4_13
| spl4_28 ),
inference(avatar_split_clause,[],[f367,f359,f233]) ).
fof(f233,plain,
( spl4_13
<=> sP3(use) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f359,plain,
( spl4_28
<=> sP3(a_select2(tptp_update2(rho_defuse,n0,use),n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f367,plain,
( ~ sP3(use)
| spl4_28 ),
inference(superposition,[],[f361,f163]) ).
fof(f163,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f361,plain,
( ~ sP3(a_select2(tptp_update2(rho_defuse,n0,use),n0))
| spl4_28 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f362,plain,
( spl4_27
| ~ spl4_28
| spl4_19 ),
inference(avatar_split_clause,[],[f339,f300,f359,f355]) ).
fof(f300,plain,
( spl4_19
<=> sP3(a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f339,plain,
( ~ sP3(a_select2(tptp_update2(rho_defuse,n0,use),n0))
| n0 = n1
| spl4_19 ),
inference(superposition,[],[f302,f183]) ).
fof(f183,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f159]) ).
fof(f159,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4,X6,X0,X16,X24] :
( ( a_select2(X0,X6) = X16
& X4 != X6 )
=> a_select2(tptp_update2(X0,X4,X24),X6) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f302,plain,
( ~ sP3(a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0))
| spl4_19 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f303,plain,
( spl4_18
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f294,f300,f296]) ).
fof(f294,plain,
( ~ sP3(a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0))
| n0 = n2 ),
inference(superposition,[],[f181,f183]) ).
fof(f181,plain,
~ sP3(a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f292,plain,
( ~ spl4_14
| spl4_17 ),
inference(avatar_split_clause,[],[f291,f286,f237]) ).
fof(f237,plain,
( spl4_14
<=> sP2(use) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f286,plain,
( spl4_17
<=> sP2(a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f291,plain,
( ~ sP2(use)
| spl4_17 ),
inference(superposition,[],[f288,f163]) ).
fof(f288,plain,
( ~ sP2(a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1))
| spl4_17 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f289,plain,
( spl4_16
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f280,f286,f282]) ).
fof(f280,plain,
( ~ sP2(a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1))
| n1 = n2 ),
inference(superposition,[],[f180,f183]) ).
fof(f180,plain,
~ sP2(a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f279,plain,
~ spl4_15,
inference(avatar_split_clause,[],[f278,f241]) ).
fof(f241,plain,
( spl4_15
<=> sP1(use) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f278,plain,
~ sP1(use),
inference(superposition,[],[f179,f163]) ).
fof(f179,plain,
~ sP1(a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f256,plain,
spl4_1,
inference(avatar_split_clause,[],[f121,f185]) ).
fof(f185,plain,
( spl4_1
<=> use = a_select2(sigma_defuse,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f121,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) )
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
( ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) )
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) )
=> ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) )
=> ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f255,plain,
spl4_2,
inference(avatar_split_clause,[],[f122,f189]) ).
fof(f189,plain,
( spl4_2
<=> use = a_select2(sigma_defuse,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f122,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f91]) ).
fof(f254,plain,
spl4_3,
inference(avatar_split_clause,[],[f123,f193]) ).
fof(f193,plain,
( spl4_3
<=> use = a_select2(sigma_defuse,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f123,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f91]) ).
fof(f253,plain,
spl4_4,
inference(avatar_split_clause,[],[f124,f197]) ).
fof(f197,plain,
( spl4_4
<=> use = a_select2(sigma_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f124,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f91]) ).
fof(f252,plain,
spl4_5,
inference(avatar_split_clause,[],[f125,f201]) ).
fof(f201,plain,
( spl4_5
<=> use = a_select2(sigma_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f125,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f91]) ).
fof(f251,plain,
spl4_6,
inference(avatar_split_clause,[],[f126,f205]) ).
fof(f205,plain,
( spl4_6
<=> use = a_select2(sigma_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f126,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f91]) ).
fof(f250,plain,
spl4_7,
inference(avatar_split_clause,[],[f127,f209]) ).
fof(f209,plain,
( spl4_7
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f127,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f91]) ).
fof(f249,plain,
spl4_8,
inference(avatar_split_clause,[],[f128,f213]) ).
fof(f213,plain,
( spl4_8
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f128,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f91]) ).
fof(f248,plain,
spl4_9,
inference(avatar_split_clause,[],[f129,f217]) ).
fof(f217,plain,
( spl4_9
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f129,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f91]) ).
fof(f247,plain,
spl4_10,
inference(avatar_split_clause,[],[f130,f221]) ).
fof(f221,plain,
( spl4_10
<=> use = a_select2(xinit_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f130,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f91]) ).
fof(f246,plain,
spl4_11,
inference(avatar_split_clause,[],[f131,f225]) ).
fof(f225,plain,
( spl4_11
<=> use = a_select2(xinit_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f131,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f91]) ).
fof(f245,plain,
spl4_12,
inference(avatar_split_clause,[],[f132,f229]) ).
fof(f229,plain,
( spl4_12
<=> use = a_select2(xinit_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f132,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f91]) ).
fof(f244,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12
| spl4_13
| spl4_14
| spl4_15 ),
inference(avatar_split_clause,[],[f182,f241,f237,f233,f229,f225,f221,f217,f213,f209,f205,f201,f197,f193,f189,f185]) ).
fof(f182,plain,
( sP1(use)
| sP2(use)
| sP3(use)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) ),
inference(inequality_splitting,[],[f133,f181,f180,f179]) ).
fof(f133,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) ),
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV102+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.04/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n020.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 : Thu Jun 20 18:44:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43 % (3844)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (3848)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)
% 0.22/0.43 % (3844)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (3846)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.43 % (3844)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (3849)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.43 % (3844)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (3850)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)
% 0.22/0.43 % (3844)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (3845)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)
% 0.22/0.43 % (3844)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (3851)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)
% 0.22/0.43 % (3844)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (3847)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)
% 0.22/0.44 % (3850)First to succeed.
% 0.22/0.44 % (3850)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3844"
% 0.22/0.44 % (3844)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (3850)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (3850)------------------------------
% 0.22/0.44 % (3850)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 % (3850)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44 % (3850)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (3850)Memory used [KB]: 1292
% 0.22/0.44 % (3850)Time elapsed: 0.011 s
% 0.22/0.44 % (3850)Instructions burned: 14 (million)
% 0.22/0.44 % (3850)------------------------------
% 0.22/0.44 % (3850)------------------------------
% 0.22/0.44 % (3844)Success in time 0.053 s
%------------------------------------------------------------------------------